TSTP Solution File: MSC019+1 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MSC019+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 11:35:50 EDT 2023
% Result : Theorem 5.91s 2.25s
% Output : Refutation 6.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 886
% Syntax : Number of formulae : 1492 (1204 unt; 282 typ; 0 def)
% Number of atoms : 1218 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 2444 ( 2 ~; 0 |; 2 &;2434 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 283 ( 282 usr; 281 con; 0-2 aty)
% Number of variables : 14 ( 0 ^; 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(s_contains_type,type,
s_contains: $i > $i > $o ).
thf(s_g019_type,type,
s_g019: $i ).
thf(s_MX_type,type,
s_MX: $i ).
thf(s_partOf_type,type,
s_partOf: $i > $i > $o ).
thf(s_IE_type,type,
s_IE: $i ).
thf(s_g154_type,type,
s_g154: $i ).
thf(s_KZ_type,type,
s_KZ: $i ).
thf(s_g143_type,type,
s_g143: $i ).
thf(s_ZW_type,type,
s_ZW: $i ).
thf(s_g014_type,type,
s_g014: $i ).
thf(s_g062_type,type,
s_g062: $i ).
thf(s_g142_type,type,
s_g142: $i ).
thf(s_KI_type,type,
s_KI: $i ).
thf(s_g057_type,type,
s_g057: $i ).
thf(s_g001_type,type,
s_g001: $i ).
thf(s_GP_type,type,
s_GP: $i ).
thf(s_g029_type,type,
s_g029: $i ).
thf(s_g017_type,type,
s_g017: $i ).
thf(s_g002_type,type,
s_g002: $i ).
thf(s_DM_type,type,
s_DM: $i ).
thf(s_HR_type,type,
s_HR: $i ).
thf(s_g039_type,type,
s_g039: $i ).
thf(s_MP_type,type,
s_MP: $i ).
thf(s_AN_type,type,
s_AN: $i ).
thf(s_FK_type,type,
s_FK: $i ).
thf(s_g005_type,type,
s_g005: $i ).
thf(s_GN_type,type,
s_GN: $i ).
thf(s_g011_type,type,
s_g011: $i ).
thf(s_CH_type,type,
s_CH: $i ).
thf(s_g155_type,type,
s_g155: $i ).
thf(s_TJ_type,type,
s_TJ: $i ).
thf(s_g061_type,type,
s_g061: $i ).
thf(s_g009_type,type,
s_g009: $i ).
thf(s_SR_type,type,
s_SR: $i ).
thf(s_SH_type,type,
s_SH: $i ).
thf(s_HN_type,type,
s_HN: $i ).
thf(s_g013_type,type,
s_g013: $i ).
thf(s_VE_type,type,
s_VE: $i ).
thf(s_CV_type,type,
s_CV: $i ).
thf(s_BD_type,type,
s_BD: $i ).
thf(s_g034_type,type,
s_g034: $i ).
thf(s_VU_type,type,
s_VU: $i ).
thf(s_g054_type,type,
s_g054: $i ).
thf(s_TM_type,type,
s_TM: $i ).
thf(s_g172_type,type,
s_g172: $i ).
thf(s_EC_type,type,
s_EC: $i ).
thf(s_PA_type,type,
s_PA: $i ).
thf(s_BF_type,type,
s_BF: $i ).
thf(s_CF_type,type,
s_CF: $i ).
thf(s_FM_type,type,
s_FM: $i ).
thf(s_MY_type,type,
s_MY: $i ).
thf(s_g035_type,type,
s_g035: $i ).
thf(s_SI_type,type,
s_SI: $i ).
thf(s_UZ_type,type,
s_UZ: $i ).
thf(s_TO_type,type,
s_TO: $i ).
thf(s_AL_type,type,
s_AL: $i ).
thf(s_LI_type,type,
s_LI: $i ).
thf(s_BE_type,type,
s_BE: $i ).
thf(s_AR_type,type,
s_AR: $i ).
thf(s_RU_type,type,
s_RU: $i ).
thf(s_BG_type,type,
s_BG: $i ).
thf(s_g151_type,type,
s_g151: $i ).
thf(s_CL_type,type,
s_CL: $i ).
thf(s_NR_type,type,
s_NR: $i ).
thf(s_AW_type,type,
s_AW: $i ).
thf(s_EE_type,type,
s_EE: $i ).
thf(s_SL_type,type,
s_SL: $i ).
thf(s_LA_type,type,
s_LA: $i ).
thf(s_VC_type,type,
s_VC: $i ).
thf(s_DZ_type,type,
s_DZ: $i ).
thf(s_g015_type,type,
s_g015: $i ).
thf(s_RW_type,type,
s_RW: $i ).
thf(s_MH_type,type,
s_MH: $i ).
thf(s_LU_type,type,
s_LU: $i ).
thf(s_JO_type,type,
s_JO: $i ).
thf(s_g145_type,type,
s_g145: $i ).
thf(s_g003_type,type,
s_g003: $i ).
thf(s_MW_type,type,
s_MW: $i ).
thf(s_CI_type,type,
s_CI: $i ).
thf(s_EH_type,type,
s_EH: $i ).
thf(s_RO_type,type,
s_RO: $i ).
thf(s_UY_type,type,
s_UY: $i ).
thf(s_ES_type,type,
s_ES: $i ).
thf(s_BI_type,type,
s_BI: $i ).
thf(s_QA_type,type,
s_QA: $i ).
thf(s_CK_type,type,
s_CK: $i ).
thf(s_GM_type,type,
s_GM: $i ).
thf(s_LS_type,type,
s_LS: $i ).
thf(s_g018_type,type,
s_g018: $i ).
thf(s_SD_type,type,
s_SD: $i ).
thf(s_WS_type,type,
s_WS: $i ).
thf(s_EG_type,type,
s_EG: $i ).
thf(s_LC_type,type,
s_LC: $i ).
thf(s_PE_type,type,
s_PE: $i ).
thf(s_g419_type,type,
s_g419: $i ).
thf(s_SO_type,type,
s_SO: $i ).
thf(s_AI_type,type,
s_AI: $i ).
thf(s_JP_type,type,
s_JP: $i ).
thf(s_g030_type,type,
s_g030: $i ).
thf(s_UA_type,type,
s_UA: $i ).
thf(s_MD_type,type,
s_MD: $i ).
thf(s_PR_type,type,
s_PR: $i ).
thf(s_VA_type,type,
s_VA: $i ).
thf(s_CA_type,type,
s_CA: $i ).
thf(s_g021_type,type,
s_g021: $i ).
thf(s_MV_type,type,
s_MV: $i ).
thf(s_BA_type,type,
s_BA: $i ).
thf(s_DD_type,type,
s_DD: $i ).
thf(s_NL_type,type,
s_NL: $i ).
thf(s_BS_type,type,
s_BS: $i ).
thf(s_GY_type,type,
s_GY: $i ).
thf(s_SC_type,type,
s_SC: $i ).
thf(s_KM_type,type,
s_KM: $i ).
thf(s_GE_type,type,
s_GE: $i ).
thf(s_KG_type,type,
s_KG: $i ).
thf(s_AZ_type,type,
s_AZ: $i ).
thf(s_BL_type,type,
s_BL: $i ).
thf(s_TW_type,type,
s_TW: $i ).
thf(s_SE_type,type,
s_SE: $i ).
thf(s_CN_type,type,
s_CN: $i ).
thf(s_AX_type,type,
s_AX: $i ).
thf(s_MQ_type,type,
s_MQ: $i ).
thf(s_TP_type,type,
s_TP: $i ).
thf(s_ZR_type,type,
s_ZR: $i ).
thf(s_BY_type,type,
s_BY: $i ).
thf(s_IQ_type,type,
s_IQ: $i ).
thf(s_CM_type,type,
s_CM: $i ).
thf(s_PW_type,type,
s_PW: $i ).
thf(s_PF_type,type,
s_PF: $i ).
thf(s_BT_type,type,
s_BT: $i ).
thf(s_HK_type,type,
s_HK: $i ).
thf(s_US_type,type,
s_US: $i ).
thf(s_GL_type,type,
s_GL: $i ).
thf(s_SB_type,type,
s_SB: $i ).
thf(s_LB_type,type,
s_LB: $i ).
thf(s_BW_type,type,
s_BW: $i ).
thf(s_KH_type,type,
s_KH: $i ).
thf(s_AG_type,type,
s_AG: $i ).
thf(s_FI_type,type,
s_FI: $i ).
thf(s_AM_type,type,
s_AM: $i ).
thf(s_JE_type,type,
s_JE: $i ).
thf(s_g830_type,type,
s_g830: $i ).
thf(s_CS_type,type,
s_CS: $i ).
thf(s_GR_type,type,
s_GR: $i ).
thf(s_GH_type,type,
s_GH: $i ).
thf(s_SA_type,type,
s_SA: $i ).
thf(s_GD_type,type,
s_GD: $i ).
thf(s_IL_type,type,
s_IL: $i ).
thf(s_CY_type,type,
s_CY: $i ).
thf(s_FX_type,type,
s_FX: $i ).
thf(s_OM_type,type,
s_OM: $i ).
thf(s_IN_type,type,
s_IN: $i ).
thf(s_KY_type,type,
s_KY: $i ).
thf(s_MC_type,type,
s_MC: $i ).
thf(s_AU_type,type,
s_AU: $i ).
thf(s_g053_type,type,
s_g053: $i ).
thf(s_GF_type,type,
s_GF: $i ).
thf(s_GG_type,type,
s_GG: $i ).
thf(s_SZ_type,type,
s_SZ: $i ).
thf(s_KP_type,type,
s_KP: $i ).
thf(s_NA_type,type,
s_NA: $i ).
thf(s_GQ_type,type,
s_GQ: $i ).
thf(s_AS_type,type,
s_AS: $i ).
thf(s_g150_type,type,
s_g150: $i ).
thf(s_NO_type,type,
s_NO: $i ).
thf(s_SN_type,type,
s_SN: $i ).
thf(s_DJ_type,type,
s_DJ: $i ).
thf(s_LT_type,type,
s_LT: $i ).
thf(s_IS_type,type,
s_IS: $i ).
thf(s_SU_type,type,
s_SU: $i ).
thf(s_TR_type,type,
s_TR: $i ).
thf(s_GI_type,type,
s_GI: $i ).
thf(s_GT_type,type,
s_GT: $i ).
thf(s_CO_type,type,
s_CO: $i ).
thf(s_BN_type,type,
s_BN: $i ).
thf(s_CG_type,type,
s_CG: $i ).
thf(s_JM_type,type,
s_JM: $i ).
thf(s_NU_type,type,
s_NU: $i ).
thf(s_MS_type,type,
s_MS: $i ).
thf(s_SV_type,type,
s_SV: $i ).
thf(s_GU_type,type,
s_GU: $i ).
thf(s_NT_type,type,
s_NT: $i ).
thf(s_UG_type,type,
s_UG: $i ).
thf(s_MO_type,type,
s_MO: $i ).
thf(s_MF_type,type,
s_MF: $i ).
thf(s_KW_type,type,
s_KW: $i ).
thf(s_ZA_type,type,
s_ZA: $i ).
thf(s_BH_type,type,
s_BH: $i ).
thf(s_GB_type,type,
s_GB: $i ).
thf(s_MN_type,type,
s_MN: $i ).
thf(s_TH_type,type,
s_TH: $i ).
thf(s_BU_type,type,
s_BU: $i ).
thf(s_GW_type,type,
s_GW: $i ).
thf(s_HT_type,type,
s_HT: $i ).
thf(s_TD_type,type,
s_TD: $i ).
thf(s_VN_type,type,
s_VN: $i ).
thf(s_AT_type,type,
s_AT: $i ).
thf(s_GA_type,type,
s_GA: $i ).
thf(s_LK_type,type,
s_LK: $i ).
thf(s_YD_type,type,
s_YD: $i ).
thf(s_CR_type,type,
s_CR: $i ).
thf(s_ML_type,type,
s_ML: $i ).
thf(s_PN_type,type,
s_PN: $i ).
thf(s_ET_type,type,
s_ET: $i ).
thf(s_SK_type,type,
s_SK: $i ).
thf(s_PL_type,type,
s_PL: $i ).
thf(s_RS_type,type,
s_RS: $i ).
thf(s_MZ_type,type,
s_MZ: $i ).
thf(s_MA_type,type,
s_MA: $i ).
thf(s_RE_type,type,
s_RE: $i ).
thf(s_BM_type,type,
s_BM: $i ).
thf(s_BB_type,type,
s_BB: $i ).
thf(s_ME_type,type,
s_ME: $i ).
thf(s_KR_type,type,
s_KR: $i ).
thf(s_TT_type,type,
s_TT: $i ).
thf(s_PK_type,type,
s_PK: $i ).
thf(s_PG_type,type,
s_PG: $i ).
thf(s_NP_type,type,
s_NP: $i ).
thf(s_PH_type,type,
s_PH: $i ).
thf(s_TN_type,type,
s_TN: $i ).
thf(s_SG_type,type,
s_SG: $i ).
thf(s_BO_type,type,
s_BO: $i ).
thf(s_TK_type,type,
s_TK: $i ).
thf(s_DE_type,type,
s_DE: $i ).
thf(s_NF_type,type,
s_NF: $i ).
thf(s_LY_type,type,
s_LY: $i ).
thf(s_YU_type,type,
s_YU: $i ).
thf(s_IM_type,type,
s_IM: $i ).
thf(s_AO_type,type,
s_AO: $i ).
thf(s_PM_type,type,
s_PM: $i ).
thf(s_MR_type,type,
s_MR: $i ).
thf(s_TL_type,type,
s_TL: $i ).
thf(s_PS_type,type,
s_PS: $i ).
thf(s_NZ_type,type,
s_NZ: $i ).
thf(s_YE_type,type,
s_YE: $i ).
thf(s_BZ_type,type,
s_BZ: $i ).
thf(s_NC_type,type,
s_NC: $i ).
thf(s_FO_type,type,
s_FO: $i ).
thf(s_WF_type,type,
s_WF: $i ).
thf(s_SJ_type,type,
s_SJ: $i ).
thf(s_NI_type,type,
s_NI: $i ).
thf(s_TC_type,type,
s_TC: $i ).
thf(s_TG_type,type,
s_TG: $i ).
thf(s_PY_type,type,
s_PY: $i ).
thf(s_PT_type,type,
s_PT: $i ).
thf(s_FJ_type,type,
s_FJ: $i ).
thf(s_MU_type,type,
s_MU: $i ).
thf(s_AF_type,type,
s_AF: $i ).
thf(s_MM_type,type,
s_MM: $i ).
thf(s_HU_type,type,
s_HU: $i ).
thf(s_CD_type,type,
s_CD: $i ).
thf(s_KE_type,type,
s_KE: $i ).
thf(s_VG_type,type,
s_VG: $i ).
thf(s_MG_type,type,
s_MG: $i ).
thf(s_SM_type,type,
s_SM: $i ).
thf(s_NE_type,type,
s_NE: $i ).
thf(s_ER_type,type,
s_ER: $i ).
thf(s_LR_type,type,
s_LR: $i ).
thf(s_LV_type,type,
s_LV: $i ).
thf(s_TZ_type,type,
s_TZ: $i ).
thf(s_ZM_type,type,
s_ZM: $i ).
thf(s_NG_type,type,
s_NG: $i ).
thf(s_AE_type,type,
s_AE: $i ).
thf(s_DO_type,type,
s_DO: $i ).
thf(s_SY_type,type,
s_SY: $i ).
thf(s_DK_type,type,
s_DK: $i ).
thf(s_FR_type,type,
s_FR: $i ).
thf(s_MT_type,type,
s_MT: $i ).
thf(s_YT_type,type,
s_YT: $i ).
thf(s_KN_type,type,
s_KN: $i ).
thf(s_CU_type,type,
s_CU: $i ).
thf(s_BR_type,type,
s_BR: $i ).
thf(s_ID_type,type,
s_ID: $i ).
thf(s_IT_type,type,
s_IT: $i ).
thf(s_BJ_type,type,
s_BJ: $i ).
thf(s_AD_type,type,
s_AD: $i ).
thf(s_IR_type,type,
s_IR: $i ).
thf(s_CZ_type,type,
s_CZ: $i ).
thf(s_TV_type,type,
s_TV: $i ).
thf(s_ST_type,type,
s_ST: $i ).
thf(s_VI_type,type,
s_VI: $i ).
thf(s_MK_type,type,
s_MK: $i ).
thf(431,axiom,
s_contains @ s_g005 @ s_BR,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb397) ).
thf(1036,plain,
s_contains @ s_g005 @ s_BR,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[431]) ).
thf(205,axiom,
s_partOf @ s_ME @ s_g039,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb513) ).
thf(809,plain,
s_partOf @ s_ME @ s_g039,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[205]) ).
thf(25,axiom,
s_partOf @ s_BD @ s_g034,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb592) ).
thf(629,plain,
s_partOf @ s_BD @ s_g034,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(419,axiom,
s_contains @ s_g145 @ s_LB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb169) ).
thf(1024,plain,
s_contains @ s_g145 @ s_LB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[419]) ).
thf(583,axiom,
s_contains @ s_g034 @ s_IR,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb185) ).
thf(1190,plain,
s_contains @ s_g034 @ s_IR,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[583]) ).
thf(500,axiom,
! [A: $i,B: $i] :
( ( s_contains @ A @ B )
=> ( s_partOf @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom3) ).
thf(1105,plain,
! [A: $i,B: $i] :
( ( s_contains @ A @ B )
=> ( s_partOf @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[500]) ).
thf(242,axiom,
s_partOf @ s_NI @ s_g013,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb86) ).
thf(846,plain,
s_partOf @ s_NI @ s_g013,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[242]) ).
thf(289,axiom,
s_partOf @ s_CZ @ s_g151,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb305) ).
thf(893,plain,
s_partOf @ s_CZ @ s_g151,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[289]) ).
thf(337,axiom,
s_contains @ s_g145 @ s_JO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb167) ).
thf(941,plain,
s_contains @ s_g145 @ s_JO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[337]) ).
thf(572,axiom,
s_contains @ s_g011 @ s_CV,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb38) ).
thf(1179,plain,
s_contains @ s_g011 @ s_CV,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[572]) ).
thf(173,axiom,
s_partOf @ s_GE @ s_g172,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb211) ).
thf(777,plain,
s_partOf @ s_GE @ s_g172,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).
thf(62,axiom,
s_partOf @ s_UY @ s_g005,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb535) ).
thf(666,plain,
s_partOf @ s_UY @ s_g005,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(504,axiom,
s_contains @ s_g061 @ s_WS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb579) ).
thf(1110,plain,
s_contains @ s_g061 @ s_WS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[504]) ).
thf(41,axiom,
s_partOf @ s_AR @ s_g005,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb523) ).
thf(645,plain,
s_partOf @ s_AR @ s_g005,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(288,axiom,
s_partOf @ s_IR @ s_g034,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb595) ).
thf(892,plain,
s_partOf @ s_IR @ s_g034,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[288]) ).
thf(562,axiom,
s_contains @ s_g005 @ s_AR,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb395) ).
thf(1168,plain,
s_contains @ s_g005 @ s_AR,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[562]) ).
thf(156,axiom,
s_partOf @ s_GI @ s_g039,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb509) ).
thf(760,plain,
s_partOf @ s_GI @ s_g039,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).
thf(305,axiom,
s_contains @ s_g154 @ s_GG,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb273) ).
thf(909,plain,
s_contains @ s_g154 @ s_GG,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[305]) ).
thf(24,axiom,
s_partOf @ s_CV @ s_g011,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb56) ).
thf(628,plain,
s_partOf @ s_CV @ s_g011,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(426,axiom,
s_contains @ s_g014 @ s_ZM,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb106) ).
thf(1031,plain,
s_contains @ s_g014 @ s_ZM,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[426]) ).
thf(478,axiom,
s_contains @ s_g054 @ s_NC,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb545) ).
thf(1083,plain,
s_contains @ s_g054 @ s_NC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[478]) ).
thf(358,axiom,
s_contains @ s_g015 @ s_MA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb230) ).
thf(962,plain,
s_contains @ s_g015 @ s_MA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[358]) ).
thf(593,axiom,
s_contains @ s_g053 @ s_AU,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb537) ).
thf(1200,plain,
s_contains @ s_g053 @ s_AU,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[593]) ).
thf(373,axiom,
s_contains @ s_g145 @ s_IL,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb165) ).
thf(977,plain,
s_contains @ s_g145 @ s_IL,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[373]) ).
thf(604,axiom,
s_contains @ s_g029 @ s_BB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb421) ).
thf(1211,plain,
s_contains @ s_g029 @ s_BB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[604]) ).
thf(400,axiom,
s_partOf @ s_MX @ s_g013,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb85) ).
thf(1005,plain,
s_partOf @ s_MX @ s_g013,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[400]) ).
thf(79,axiom,
s_partOf @ s_MD @ s_g151,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb307) ).
thf(683,plain,
s_partOf @ s_MD @ s_g151,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(126,axiom,
s_partOf @ s_GH @ s_g011,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb57) ).
thf(730,plain,
s_partOf @ s_GH @ s_g011,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(463,axiom,
s_contains @ s_g029 @ s_CU,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb424) ).
thf(1068,plain,
s_contains @ s_g029 @ s_CU,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[463]) ).
thf(389,axiom,
s_contains @ s_g011 @ s_GH,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb39) ).
thf(994,plain,
s_contains @ s_g011 @ s_GH,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[389]) ).
thf(536,axiom,
s_contains @ s_g034 @ s_LK,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb186) ).
thf(1142,plain,
s_contains @ s_g034 @ s_LK,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[536]) ).
thf(567,axiom,
s_contains @ s_g011 @ s_MR,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb45) ).
thf(1173,plain,
s_contains @ s_g011 @ s_MR,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[567]) ).
thf(552,axiom,
s_contains @ s_g172 @ s_AM,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb370) ).
thf(1158,plain,
s_contains @ s_g172 @ s_AM,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[552]) ).
thf(158,axiom,
s_partOf @ s_CO @ s_g005,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb527) ).
thf(762,plain,
s_partOf @ s_CO @ s_g005,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(137,axiom,
s_partOf @ s_AU @ s_g053,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb541) ).
thf(741,plain,
s_partOf @ s_AU @ s_g053,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(468,axiom,
s_contains @ s_g011 @ s_CI,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb37) ).
thf(1073,plain,
s_contains @ s_g011 @ s_CI,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[468]) ).
thf(269,axiom,
s_partOf @ s_NG @ s_g011,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb65) ).
thf(873,plain,
s_partOf @ s_NG @ s_g011,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[269]) ).
thf(598,axiom,
s_contains @ s_g155 @ s_DD,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb295) ).
thf(1205,plain,
s_contains @ s_g155 @ s_DD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[598]) ).
thf(274,axiom,
s_partOf @ s_SY @ s_g145,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb222) ).
thf(878,plain,
s_partOf @ s_SY @ s_g145,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[274]) ).
thf(51,axiom,
s_partOf @ s_VC @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb481) ).
thf(655,plain,
s_partOf @ s_VC @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(10,axiom,
s_partOf @ s_g017 @ s_g002,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb359) ).
thf(614,plain,
s_partOf @ s_g017 @ s_g002,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(73,axiom,
s_partOf @ s_PE @ s_g005,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb532) ).
thf(677,plain,
s_partOf @ s_PE @ s_g005,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(436,axiom,
s_contains @ s_g145 @ s_AM,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb160) ).
thf(1041,plain,
s_contains @ s_g145 @ s_AM,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[436]) ).
thf(257,axiom,
s_partOf @ s_KE @ s_g014,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb113) ).
thf(861,plain,
s_partOf @ s_KE @ s_g014,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[257]) ).
thf(473,axiom,
s_contains @ s_g014 @ s_ET,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb92) ).
thf(1078,plain,
s_contains @ s_g014 @ s_ET,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[473]) ).
thf(531,axiom,
s_contains @ s_g172 @ s_AZ,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb371) ).
thf(1137,plain,
s_contains @ s_g172 @ s_AZ,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[531]) ).
thf(111,axiom,
s_partOf @ s_BT @ s_g034,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb593) ).
thf(715,plain,
s_partOf @ s_BT @ s_g034,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(210,axiom,
s_partOf @ s_AM @ s_g145,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb204) ).
thf(814,plain,
s_partOf @ s_AM @ s_g145,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[210]) ).
thf(94,axiom,
s_partOf @ s_AZ @ s_g145,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb206) ).
thf(698,plain,
s_partOf @ s_AZ @ s_g145,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(341,axiom,
s_contains @ s_g061 @ s_TO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb576) ).
thf(945,plain,
s_contains @ s_g061 @ s_TO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[341]) ).
thf(458,axiom,
s_contains @ s_g142 @ s_g143,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb26) ).
thf(1063,plain,
s_contains @ s_g142 @ s_g143,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[458]) ).
thf(326,axiom,
s_contains @ s_g013 @ s_BZ,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb70) ).
thf(930,plain,
s_contains @ s_g013 @ s_BZ,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[326]) ).
thf(66,axiom,
s_partOf @ s_CK @ s_g061,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb582) ).
thf(670,plain,
s_partOf @ s_CK @ s_g061,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(558,axiom,
s_contains @ s_g029 @ s_HT,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb429) ).
thf(1164,plain,
s_contains @ s_g029 @ s_HT,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[558]) ).
thf(193,axiom,
s_partOf @ s_ET @ s_g014,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb112) ).
thf(797,plain,
s_partOf @ s_ET @ s_g014,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[193]) ).
thf(143,axiom,
s_partOf @ s_GQ @ s_g017,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb367) ).
thf(747,plain,
s_partOf @ s_GQ @ s_g017,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(309,axiom,
s_contains @ s_g039 @ s_AD,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb242) ).
thf(913,plain,
s_contains @ s_g039 @ s_AD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[309]) ).
thf(589,axiom,
s_contains @ s_g005 @ s_SR,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb406) ).
thf(1196,plain,
s_contains @ s_g005 @ s_SR,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[589]) ).
thf(294,axiom,
s_partOf @ s_MK @ s_g039,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb514) ).
thf(898,plain,
s_partOf @ s_MK @ s_g039,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[294]) ).
thf(396,axiom,
s_contains @ s_g014 @ s_MW,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb97) ).
thf(1001,plain,
s_contains @ s_g014 @ s_MW,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[396]) ).
thf(521,axiom,
s_contains @ s_g039 @ s_GR,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb247) ).
thf(1127,plain,
s_contains @ s_g039 @ s_GR,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[521]) ).
thf(178,axiom,
s_partOf @ s_MN @ s_g030,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb489) ).
thf(782,plain,
s_partOf @ s_MN @ s_g030,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).
thf(105,axiom,
s_partOf @ s_ZR @ s_g017,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb362) ).
thf(709,plain,
s_partOf @ s_ZR @ s_g017,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(237,axiom,
s_partOf @ s_FO @ s_g154,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb327) ).
thf(841,plain,
s_partOf @ s_FO @ s_g154,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[237]) ).
thf(47,axiom,
s_partOf @ s_AW @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb461) ).
thf(651,plain,
s_partOf @ s_AW @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(225,axiom,
s_partOf @ s_YU @ s_g039,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb522) ).
thf(829,plain,
s_partOf @ s_YU @ s_g039,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[225]) ).
thf(490,axiom,
s_contains @ s_g014 @ s_ER,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb91) ).
thf(1095,plain,
s_contains @ s_g014 @ s_ER,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[490]) ).
thf(369,axiom,
s_contains @ s_g015 @ s_LY,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb229) ).
thf(973,plain,
s_contains @ s_g015 @ s_LY,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[369]) ).
thf(281,axiom,
s_partOf @ s_BR @ s_g005,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb525) ).
thf(885,plain,
s_partOf @ s_BR @ s_g005,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[281]) ).
thf(441,axiom,
s_contains @ s_g034 @ s_AF,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb181) ).
thf(1046,plain,
s_contains @ s_g034 @ s_AF,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[441]) ).
thf(115,axiom,
s_partOf @ s_SB @ s_g054,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb553) ).
thf(719,plain,
s_partOf @ s_SB @ s_g054,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(181,axiom,
s_partOf @ s_GW @ s_g011,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb60) ).
thf(785,plain,
s_partOf @ s_GW @ s_g011,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).
thf(198,axiom,
s_partOf @ s_MZ @ s_g014,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb118) ).
thf(802,plain,
s_partOf @ s_MZ @ s_g014,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[198]) ).
thf(345,axiom,
s_contains @ s_g035 @ s_ID,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb139) ).
thf(949,plain,
s_contains @ s_g035 @ s_ID,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[345]) ).
thf(450,axiom,
s_contains @ s_g057 @ s_GU,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb556) ).
thf(1055,plain,
s_contains @ s_g057 @ s_GU,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[450]) ).
thf(120,axiom,
s_partOf @ s_AG @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb458) ).
thf(724,plain,
s_partOf @ s_AG @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(15,axiom,
s_partOf @ s_FK @ s_g005,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb529) ).
thf(619,plain,
s_partOf @ s_FK @ s_g005,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(234,axiom,
s_partOf @ s_BZ @ s_g013,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb81) ).
thf(838,plain,
s_partOf @ s_BZ @ s_g013,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[234]) ).
thf(313,axiom,
s_contains @ s_g830 @ s_JE,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb337) ).
thf(917,plain,
s_contains @ s_g830 @ s_JE,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[313]) ).
thf(98,axiom,
s_partOf @ s_SE @ s_g154,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb334) ).
thf(702,plain,
s_partOf @ s_SE @ s_g154,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(147,axiom,
s_partOf @ s_NO @ s_g154,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb333) ).
thf(751,plain,
s_partOf @ s_NO @ s_g154,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(330,axiom,
s_contains @ s_g145 @ s_TR,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb176) ).
thf(934,plain,
s_contains @ s_g145 @ s_TR,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[330]) ).
thf(584,axiom,
s_contains @ s_g053 @ s_NF,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb538) ).
thf(1191,plain,
s_contains @ s_g053 @ s_NF,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[584]) ).
thf(454,axiom,
s_partOf @ s_g005 @ s_g019,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb393) ).
thf(1059,plain,
s_partOf @ s_g005 @ s_g019,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[454]) ).
thf(526,axiom,
s_contains @ s_g034 @ s_IN,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb184) ).
thf(1132,plain,
s_contains @ s_g034 @ s_IN,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[526]) ).
thf(482,axiom,
s_contains @ s_g019 @ s_g021,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb19) ).
thf(1087,plain,
s_contains @ s_g019 @ s_g021,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[482]) ).
thf(541,axiom,
s_contains @ s_g011 @ s_SH,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb48) ).
thf(1147,plain,
s_contains @ s_g011 @ s_SH,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[541]) ).
thf(266,axiom,
s_partOf @ s_TZ @ s_g014,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb123) ).
thf(870,plain,
s_partOf @ s_TZ @ s_g014,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[266]) ).
thf(277,axiom,
s_partOf @ s_MT @ s_g039,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb515) ).
thf(881,plain,
s_partOf @ s_MT @ s_g039,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[277]) ).
thf(509,axiom,
s_contains @ s_g030 @ s_KP,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb132) ).
thf(1115,plain,
s_contains @ s_g030 @ s_KP,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[509]) ).
thf(495,axiom,
s_contains @ s_g029 @ s_AW,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb420) ).
thf(1100,plain,
s_contains @ s_g029 @ s_AW,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[495]) ).
thf(213,axiom,
s_partOf @ s_PG @ s_g054,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb552) ).
thf(817,plain,
s_partOf @ s_PG @ s_g054,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[213]) ).
thf(298,axiom,
s_contains @ s_g155 @ s_MC,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb300) ).
thf(902,plain,
s_contains @ s_g155 @ s_MC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[298]) ).
thf(34,axiom,
s_partOf @ s_SI @ s_g039,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb519) ).
thf(638,plain,
s_partOf @ s_SI @ s_g039,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(249,axiom,
s_partOf @ s_MU @ s_g014,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb116) ).
thf(853,plain,
s_partOf @ s_MU @ s_g014,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[249]) ).
thf(365,axiom,
s_contains @ s_g054 @ s_SB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb547) ).
thf(969,plain,
s_contains @ s_g054 @ s_SB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[365]) ).
thf(1,conjecture,
s_contains @ s_g019 @ s_MX,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexico_in_america_1) ).
thf(2,negated_conjecture,
~ ( s_contains @ s_g019 @ s_MX ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(606,plain,
~ ( s_contains @ s_g019 @ s_MX ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(408,axiom,
s_contains @ s_g035 @ s_TP,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb149) ).
thf(1013,plain,
s_contains @ s_g035 @ s_TP,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[408]) ).
thf(166,axiom,
s_partOf @ s_KZ @ s_g172,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb200) ).
thf(770,plain,
s_partOf @ s_KZ @ s_g172,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).
thf(320,axiom,
s_contains @ s_g154 @ s_LV,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb286) ).
thf(924,plain,
s_contains @ s_g154 @ s_LV,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[320]) ).
thf(152,axiom,
s_partOf @ s_IS @ s_g154,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb330) ).
thf(756,plain,
s_partOf @ s_IS @ s_g154,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).
thf(185,axiom,
s_partOf @ s_AT @ s_g155,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb338) ).
thf(789,plain,
s_partOf @ s_AT @ s_g155,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).
thf(19,axiom,
s_partOf @ s_g061 @ s_g009,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb580) ).
thf(623,plain,
s_partOf @ s_g061 @ s_g009,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(42,axiom,
s_partOf @ s_RU @ s_g172,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb312) ).
thf(646,plain,
s_partOf @ s_RU @ s_g172,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(415,axiom,
s_contains @ s_g009 @ s_g061,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb15) ).
thf(1020,plain,
s_contains @ s_g009 @ s_g061,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[415]) ).
thf(202,axiom,
s_partOf @ s_BB @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb462) ).
thf(806,plain,
s_partOf @ s_BB @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[202]) ).
thf(362,axiom,
s_contains @ s_g419 @ s_g005,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb450) ).
thf(966,plain,
s_contains @ s_g419 @ s_g005,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[362]) ).
thf(576,axiom,
s_contains @ s_g155 @ s_DE,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb294) ).
thf(1183,plain,
s_contains @ s_g155 @ s_DE,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[576]) ).
thf(301,axiom,
s_contains @ s_g021 @ s_BM,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb410) ).
thf(905,plain,
s_contains @ s_g021 @ s_BM,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[301]) ).
thf(435,axiom,
s_contains @ s_g018 @ s_LS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb383) ).
thf(1040,plain,
s_contains @ s_g018 @ s_LS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[435]) ).
thf(503,axiom,
s_contains @ s_g039 @ s_YU,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb259) ).
thf(1109,plain,
s_contains @ s_g039 @ s_YU,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[503]) ).
thf(530,axiom,
s_contains @ s_g011 @ s_BJ,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb36) ).
thf(1136,plain,
s_contains @ s_g011 @ s_BJ,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[530]) ).
thf(230,axiom,
s_partOf @ s_TL @ s_g035,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb502) ).
thf(834,plain,
s_partOf @ s_TL @ s_g035,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[230]) ).
thf(545,axiom,
s_contains @ s_g005 @ s_VE,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb408) ).
thf(1151,plain,
s_contains @ s_g005 @ s_VE,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[545]) ).
thf(333,axiom,
s_contains @ s_g011 @ s_ML,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb44) ).
thf(937,plain,
s_contains @ s_g011 @ s_ML,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[333]) ).
thf(446,axiom,
s_contains @ s_g009 @ s_g057,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb14) ).
thf(1051,plain,
s_contains @ s_g009 @ s_g057,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[446]) ).
thf(217,axiom,
s_partOf @ s_TN @ s_g015,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb240) ).
thf(821,plain,
s_partOf @ s_TN @ s_g015,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[217]) ).
thf(30,axiom,
s_partOf @ s_BF @ s_g011,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb53) ).
thf(634,plain,
s_partOf @ s_BF @ s_g011,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(130,axiom,
s_partOf @ s_CY @ s_g145,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb209) ).
thf(734,plain,
s_partOf @ s_CY @ s_g145,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(352,axiom,
s_contains @ s_g155 @ s_CH,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb293) ).
thf(956,plain,
s_contains @ s_g155 @ s_CH,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[352]) ).
thf(262,axiom,
s_partOf @ s_ER @ s_g014,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb111) ).
thf(866,plain,
s_partOf @ s_ER @ s_g014,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[262]) ).
thf(467,axiom,
s_contains @ s_g142 @ s_g145,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb27) ).
thf(1072,plain,
s_contains @ s_g142 @ s_g145,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[467]) ).
thf(56,axiom,
s_partOf @ s_JO @ s_g145,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb214) ).
thf(660,plain,
s_partOf @ s_JO @ s_g145,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(393,axiom,
s_contains @ s_g035 @ s_BU,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb143) ).
thf(998,plain,
s_contains @ s_g035 @ s_BU,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[393]) ).
thf(383,axiom,
s_contains @ s_g014 @ s_KE,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb93) ).
thf(988,plain,
s_contains @ s_g014 @ s_KE,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[383]) ).
thf(594,axiom,
s_contains @ s_g005 @ s_CL,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb398) ).
thf(1201,plain,
s_contains @ s_g005 @ s_CL,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[594]) ).
thf(377,axiom,
s_contains @ s_g039 @ s_MK,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb251) ).
thf(981,plain,
s_contains @ s_g039 @ s_MK,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[377]) ).
thf(162,axiom,
s_partOf @ s_JM @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb471) ).
thf(766,plain,
s_partOf @ s_JM @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).
thf(563,axiom,
s_contains @ s_g039 @ s_AL,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb243) ).
thf(1169,plain,
s_contains @ s_g039 @ s_AL,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[563]) ).
thf(83,axiom,
s_partOf @ s_MV @ s_g034,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb597) ).
thf(687,plain,
s_partOf @ s_MV @ s_g034,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(273,axiom,
s_partOf @ s_DO @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb467) ).
thf(877,plain,
s_partOf @ s_DO @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[273]) ).
thf(88,axiom,
s_partOf @ s_GY @ s_g005,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb531) ).
thf(692,plain,
s_partOf @ s_GY @ s_g005,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(513,axiom,
s_contains @ s_g154 @ s_LT,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb285) ).
thf(1119,plain,
s_contains @ s_g154 @ s_LT,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[513]) ).
thf(170,axiom,
s_partOf @ s_UG @ s_g014,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb124) ).
thf(774,plain,
s_partOf @ s_UG @ s_g014,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(499,axiom,
s_contains @ s_g005 @ s_CO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb399) ).
thf(1104,plain,
s_contains @ s_g005 @ s_CO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[499]) ).
thf(245,axiom,
s_partOf @ s_PY @ s_g005,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb533) ).
thf(849,plain,
s_partOf @ s_PY @ s_g005,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[245]) ).
thf(469,axiom,
s_contains @ s_g145 @ s_YE,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb177) ).
thf(1074,plain,
s_contains @ s_g145 @ s_YE,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[469]) ).
thf(599,axiom,
s_contains @ s_g039 @ s_CS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb253) ).
thf(1206,plain,
s_contains @ s_g039 @ s_CS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[599]) ).
thf(316,axiom,
s_contains @ s_g142 @ s_g062,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb29) ).
thf(920,plain,
s_contains @ s_g142 @ s_g062,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[316]) ).
thf(338,axiom,
s_contains @ s_g014 @ s_MG,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb95) ).
thf(942,plain,
s_contains @ s_g014 @ s_MG,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[338]) ).
thf(74,axiom,
s_partOf @ s_g029 @ s_g419,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb444) ).
thf(678,plain,
s_partOf @ s_g029 @ s_g419,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(57,axiom,
s_partOf @ s_g013 @ s_g003,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb79) ).
thf(661,plain,
s_partOf @ s_g013 @ s_g003,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(189,axiom,
s_partOf @ s_YD @ s_g145,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb225) ).
thf(793,plain,
s_partOf @ s_YD @ s_g145,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[189]) ).
thf(321,axiom,
s_contains @ s_g145 @ s_YD,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb178) ).
thf(925,plain,
s_contains @ s_g145 @ s_YD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[321]) ).
thf(592,axiom,
s_contains @ s_g035 @ s_TL,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb148) ).
thf(1199,plain,
s_contains @ s_g035 @ s_TL,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[592]) ).
thf(206,axiom,
s_partOf @ s_KR @ s_g030,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb488) ).
thf(810,plain,
s_partOf @ s_KR @ s_g030,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[206]) ).
thf(462,axiom,
s_contains @ s_g005 @ s_GF,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb402) ).
thf(1067,plain,
s_contains @ s_g005 @ s_GF,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[462]) ).
thf(110,axiom,
s_partOf @ s_PF @ s_g061,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb584) ).
thf(714,plain,
s_partOf @ s_PF @ s_g061,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(547,axiom,
s_contains @ s_g154 @ s_IM,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb283) ).
thf(1153,plain,
s_contains @ s_g154 @ s_IM,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[547]) ).
thf(157,axiom,
s_partOf @ s_GT @ s_g013,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb83) ).
thf(761,plain,
s_partOf @ s_GT @ s_g013,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(442,axiom,
s_contains @ s_g057 @ s_KI,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb557) ).
thf(1047,plain,
s_contains @ s_g057 @ s_KI,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[442]) ).
thf(194,axiom,
s_partOf @ s_SK @ s_g151,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb314) ).
thf(798,plain,
s_partOf @ s_SK @ s_g151,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[194]) ).
thf(452,axiom,
s_contains @ s_g154 @ s_EE,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb278) ).
thf(1057,plain,
s_contains @ s_g154 @ s_EE,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[452]) ).
thf(557,axiom,
s_contains @ s_g154 @ s_NO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb287) ).
thf(1163,plain,
s_contains @ s_g154 @ s_NO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[557]) ).
thf(306,axiom,
s_contains @ s_g029 @ s_GD,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb427) ).
thf(910,plain,
s_contains @ s_g029 @ s_GD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[306]) ).
thf(221,axiom,
s_partOf @ s_DE @ s_g155,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb341) ).
thf(825,plain,
s_partOf @ s_DE @ s_g155,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[221]) ).
thf(568,axiom,
s_contains @ s_g019 @ s_g003,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb21) ).
thf(1174,plain,
s_contains @ s_g019 @ s_g003,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[568]) ).
thf(216,axiom,
s_partOf @ s_PH @ s_g035,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb499) ).
thf(820,plain,
s_partOf @ s_PH @ s_g035,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[216]) ).
thf(184,axiom,
s_partOf @ s_VN @ s_g035,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb504) ).
thf(788,plain,
s_partOf @ s_VN @ s_g035,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).
thf(211,axiom,
s_partOf @ s_PK @ s_g034,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb599) ).
thf(815,plain,
s_partOf @ s_PK @ s_g034,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[211]) ).
thf(125,axiom,
s_partOf @ s_GR @ s_g039,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb510) ).
thf(729,plain,
s_partOf @ s_GR @ s_g039,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(353,axiom,
s_contains @ s_g061 @ s_NU,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb572) ).
thf(957,plain,
s_contains @ s_g061 @ s_NU,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[353]) ).
thf(290,axiom,
s_partOf @ s_TV @ s_g061,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb588) ).
thf(894,plain,
s_partOf @ s_TV @ s_g061,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[290]) ).
thf(142,axiom,
s_partOf @ s_NA @ s_g018,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb390) ).
thf(746,plain,
s_partOf @ s_NA @ s_g018,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(486,axiom,
s_contains @ s_g014 @ s_MZ,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb98) ).
thf(1091,plain,
s_contains @ s_g014 @ s_MZ,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[486]) ).
thf(416,axiom,
s_contains @ s_g154 @ s_FI,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb279) ).
thf(1021,plain,
s_contains @ s_g154 @ s_FI,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[416]) ).
thf(174,axiom,
s_partOf @ s_KW @ s_g145,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb215) ).
thf(778,plain,
s_partOf @ s_KW @ s_g145,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).
thf(437,axiom,
s_contains @ s_g035 @ s_KH,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb140) ).
thf(1042,plain,
s_contains @ s_g035 @ s_KH,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[437]) ).
thf(348,axiom,
s_contains @ s_g155 @ s_BE,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb292) ).
thf(952,plain,
s_contains @ s_g155 @ s_BE,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[348]) ).
thf(517,axiom,
s_contains @ s_g151 @ s_MD,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb265) ).
thf(1123,plain,
s_contains @ s_g151 @ s_MD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[517]) ).
thf(258,axiom,
s_partOf @ s_VG @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb482) ).
thf(862,plain,
s_partOf @ s_VG @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[258]) ).
thf(89,axiom,
s_partOf @ s_SC @ s_g014,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb121) ).
thf(693,plain,
s_partOf @ s_SC @ s_g014,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(26,axiom,
s_partOf @ s_VU @ s_g054,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb554) ).
thf(630,plain,
s_partOf @ s_VU @ s_g054,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(312,axiom,
s_contains @ s_g155 @ s_FR,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb296) ).
thf(916,plain,
s_contains @ s_g155 @ s_FR,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[312]) ).
thf(243,axiom,
s_partOf @ s_TC @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb479) ).
thf(847,plain,
s_partOf @ s_TC @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[243]) ).
thf(427,axiom,
s_contains @ s_g011 @ s_LR,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb43) ).
thf(1032,plain,
s_contains @ s_g011 @ s_LR,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[427]) ).
thf(21,axiom,
s_partOf @ s_SH @ s_g011,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb66) ).
thf(625,plain,
s_partOf @ s_SH @ s_g011,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(275,axiom,
s_partOf @ s_DK @ s_g154,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb324) ).
thf(879,plain,
s_partOf @ s_DK @ s_g154,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[275]) ).
thf(248,axiom,
s_partOf @ s_FJ @ s_g054,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb550) ).
thf(852,plain,
s_partOf @ s_FJ @ s_g054,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[248]) ).
thf(571,axiom,
s_contains @ s_g017 @ s_ZR,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb351) ).
thf(1178,plain,
s_contains @ s_g017 @ s_ZR,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[571]) ).
thf(61,axiom,
s_partOf @ s_RO @ s_g151,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb310) ).
thf(665,plain,
s_partOf @ s_RO @ s_g151,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(226,axiom,
s_partOf @ s_IM @ s_g154,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb320) ).
thf(830,plain,
s_partOf @ s_IM @ s_g154,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[226]) ).
thf(285,axiom,
s_partOf @ s_JE @ s_g154,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb321) ).
thf(889,plain,
s_partOf @ s_JE @ s_g154,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[285]) ).
thf(553,axiom,
s_contains @ s_g011 @ s_TG,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb51) ).
thf(1159,plain,
s_contains @ s_g011 @ s_TG,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[553]) ).
thf(603,axiom,
s_contains @ s_g029 @ s_BL,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb422) ).
thf(1210,plain,
s_contains @ s_g029 @ s_BL,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[603]) ).
thf(153,axiom,
s_partOf @ s_g054 @ s_g009,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb549) ).
thf(757,plain,
s_partOf @ s_g054 @ s_g009,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).
thf(522,axiom,
s_contains @ s_g011 @ s_SL,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb49) ).
thf(1128,plain,
s_contains @ s_g011 @ s_SL,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[522]) ).
thf(106,axiom,
s_partOf @ s_BY @ s_g151,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb303) ).
thf(710,plain,
s_partOf @ s_BY @ s_g151,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(238,axiom,
s_partOf @ s_g011 @ s_g002,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb52) ).
thf(842,plain,
s_partOf @ s_g011 @ s_g002,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[238]) ).
thf(370,axiom,
s_contains @ s_g030 @ s_KR,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb133) ).
thf(974,plain,
s_contains @ s_g030 @ s_KR,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[370]) ).
thf(407,axiom,
s_contains @ s_g172 @ s_UA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb380) ).
thf(1012,plain,
s_contains @ s_g172 @ s_UA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[407]) ).
thf(474,axiom,
s_contains @ s_g029 @ s_DM,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb425) ).
thf(1079,plain,
s_contains @ s_g029 @ s_DM,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[474]) ).
thf(422,axiom,
s_contains @ s_g009 @ s_g054,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb13) ).
thf(1027,plain,
s_contains @ s_g009 @ s_g054,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[422]) ).
thf(78,axiom,
s_partOf @ s_UA @ s_g172,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb316) ).
thf(682,plain,
s_partOf @ s_UA @ s_g172,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(588,axiom,
s_contains @ s_g145 @ s_SY,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb175) ).
thf(1195,plain,
s_contains @ s_g145 @ s_SY,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[588]) ).
thf(138,axiom,
s_partOf @ s_GF @ s_g005,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb530) ).
thf(742,plain,
s_partOf @ s_GF @ s_g005,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(412,axiom,
s_contains @ s_g054 @ s_FJ,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb544) ).
thf(1017,plain,
s_contains @ s_g054 @ s_FJ,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[412]) ).
thf(11,axiom,
s_partOf @ s_DM @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb466) ).
thf(615,plain,
s_partOf @ s_DM @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(515,axiom,
s_contains @ s_g029 @ s_AG,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb417) ).
thf(1121,plain,
s_contains @ s_g029 @ s_AG,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[515]) ).
thf(459,axiom,
s_contains @ s_g014 @ s_MU,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb96) ).
thf(1064,plain,
s_contains @ s_g014 @ s_MU,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[459]) ).
thf(505,axiom,
s_contains @ s_g034 @ s_BT,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb183) ).
thf(1111,plain,
s_contains @ s_g034 @ s_BT,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[505]) ).
thf(121,axiom,
s_partOf @ s_FI @ s_g154,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb326) ).
thf(725,plain,
s_partOf @ s_FI @ s_g154,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(376,axiom,
s_contains @ s_g057 @ s_PW,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb561) ).
thf(980,plain,
s_contains @ s_g057 @ s_PW,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[376]) ).
thf(491,axiom,
s_contains @ s_g001 @ s_g019,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb2) ).
thf(1096,plain,
s_contains @ s_g001 @ s_g019,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[491]) ).
thf(401,axiom,
s_contains @ s_g172 @ s_KG,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb374) ).
thf(1006,plain,
s_contains @ s_g172 @ s_KG,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[401]) ).
thf(532,axiom,
s_contains @ s_g014 @ s_BI,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb89) ).
thf(1138,plain,
s_contains @ s_g014 @ s_BI,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[532]) ).
thf(265,axiom,
s_partOf @ s_GG @ s_g154,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb317) ).
thf(869,plain,
s_partOf @ s_GG @ s_g154,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[265]) ).
thf(6,axiom,
s_partOf @ s_g062 @ s_g142,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb190) ).
thf(610,plain,
s_partOf @ s_g062 @ s_g142,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(384,axiom,
s_contains @ s_g143 @ s_UZ,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb156) ).
thf(989,plain,
s_contains @ s_g143 @ s_UZ,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[384]) ).
thf(253,axiom,
s_partOf @ s_MM @ s_g035,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb496) ).
thf(857,plain,
s_partOf @ s_MM @ s_g035,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[253]) ).
thf(93,axiom,
s_partOf @ s_KG @ s_g143,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb197) ).
thf(697,plain,
s_partOf @ s_KG @ s_g143,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(484,axiom,
s_contains @ s_g155 @ s_NL,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb301) ).
thf(1089,plain,
s_contains @ s_g155 @ s_NL,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[484]) ).
thf(270,axiom,
s_partOf @ s_g005 @ s_g419,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb394) ).
thf(874,plain,
s_partOf @ s_g005 @ s_g419,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[270]) ).
thf(537,axiom,
s_contains @ s_g039 @ s_SI,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb256) ).
thf(1143,plain,
s_contains @ s_g039 @ s_SI,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[537]) ).
thf(46,axiom,
s_partOf @ s_NR @ s_g057,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb568) ).
thf(650,plain,
s_partOf @ s_NR @ s_g057,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(344,axiom,
s_contains @ s_g039 @ s_PT,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb255) ).
thf(948,plain,
s_contains @ s_g039 @ s_PT,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[344]) ).
thf(179,axiom,
s_partOf @ s_TH @ s_g035,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb501) ).
thf(783,plain,
s_partOf @ s_TH @ s_g035,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).
thf(512,axiom,
s_contains @ s_g015 @ s_EH,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb228) ).
thf(1118,plain,
s_contains @ s_g015 @ s_EH,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[512]) ).
thf(280,axiom,
s_partOf @ s_CU @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb465) ).
thf(884,plain,
s_partOf @ s_CU @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[280]) ).
thf(554,axiom,
s_contains @ s_g154 @ s_SE,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb288) ).
thf(1160,plain,
s_contains @ s_g154 @ s_SE,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[554]) ).
thf(329,axiom,
s_contains @ s_g030 @ s_MN,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb134) ).
thf(933,plain,
s_contains @ s_g030 @ s_MN,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[329]) ).
thf(149,axiom,
s_partOf @ s_SN @ s_g011,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb68) ).
thf(753,plain,
s_partOf @ s_SN @ s_g011,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(575,axiom,
s_contains @ s_g145 @ s_PS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb171) ).
thf(1182,plain,
s_contains @ s_g145 @ s_PS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[575]) ).
thf(65,axiom,
s_partOf @ s_QA @ s_g145,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb219) ).
thf(669,plain,
s_partOf @ s_QA @ s_g145,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(38,axiom,
s_partOf @ s_AL @ s_g039,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb506) ).
thf(642,plain,
s_partOf @ s_AL @ s_g039,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(33,axiom,
s_partOf @ s_MY @ s_g035,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb498) ).
thf(637,plain,
s_partOf @ s_MY @ s_g035,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(549,axiom,
s_contains @ s_g061 @ s_AS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb570) ).
thf(1155,plain,
s_contains @ s_g061 @ s_AS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[549]) ).
thf(102,axiom,
s_partOf @ s_MD @ s_g172,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb308) ).
thf(706,plain,
s_partOf @ s_MD @ s_g172,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(423,axiom,
s_contains @ s_g017 @ s_CM,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb354) ).
thf(1028,plain,
s_contains @ s_g017 @ s_CM,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[423]) ).
thf(477,axiom,
s_contains @ s_g172 @ s_GE,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb373) ).
thf(1082,plain,
s_contains @ s_g172 @ s_GE,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[477]) ).
thf(297,axiom,
s_contains @ s_g035 @ s_VN,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb150) ).
thf(901,plain,
s_contains @ s_g035 @ s_VN,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[297]) ).
thf(82,axiom,
s_partOf @ s_CA @ s_g021,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb454) ).
thf(686,plain,
s_partOf @ s_CA @ s_g021,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(470,axiom,
s_contains @ s_g039 @ s_MT,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb252) ).
thf(1075,plain,
s_contains @ s_g039 @ s_MT,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[470]) ).
thf(411,axiom,
s_contains @ s_g011 @ s_GW,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb42) ).
thf(1016,plain,
s_contains @ s_g011 @ s_GW,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[411]) ).
thf(600,axiom,
s_contains @ s_g034 @ s_MV,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb187) ).
thf(1207,plain,
s_contains @ s_g034 @ s_MV,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[600]) ).
thf(75,axiom,
s_partOf @ s_SO @ s_g014,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb122) ).
thf(679,plain,
s_partOf @ s_SO @ s_g014,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(434,axiom,
s_contains @ s_g039 @ s_RS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb254) ).
thf(1039,plain,
s_contains @ s_g039 @ s_RS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[434]) ).
thf(366,axiom,
s_contains @ s_g039 @ s_IT,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb249) ).
thf(970,plain,
s_contains @ s_g039 @ s_IT,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[366]) ).
thf(508,axiom,
s_contains @ s_g001 @ s_g150,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb4) ).
thf(1114,plain,
s_contains @ s_g001 @ s_g150,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[508]) ).
thf(97,axiom,
s_partOf @ s_TW @ s_g030,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb491) ).
thf(701,plain,
s_partOf @ s_TW @ s_g030,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(544,axiom,
s_contains @ s_g172 @ s_TM,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb379) ).
thf(1150,plain,
s_contains @ s_g172 @ s_TM,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[544]) ).
thf(134,axiom,
s_partOf @ s_KY @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb473) ).
thf(738,plain,
s_partOf @ s_KY @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(585,axiom,
s_contains @ s_g029 @ s_AN,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb419) ).
thf(1192,plain,
s_contains @ s_g029 @ s_AN,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[585]) ).
thf(307,axiom,
s_contains @ s_g005 @ s_EC,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb400) ).
thf(911,plain,
s_contains @ s_g005 @ s_EC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[307]) ).
thf(117,axiom,
s_partOf @ s_g030 @ s_g142,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb128) ).
thf(721,plain,
s_partOf @ s_g030 @ s_g142,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(397,axiom,
s_contains @ s_g143 @ s_KZ,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb155) ).
thf(1002,plain,
s_contains @ s_g143 @ s_KZ,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[397]) ).
thf(175,axiom,
s_partOf @ s_ZA @ s_g018,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb392) ).
thf(779,plain,
s_partOf @ s_ZA @ s_g018,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).
thf(18,axiom,
s_partOf @ s_TJ @ s_g143,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb195) ).
thf(622,plain,
s_partOf @ s_TJ @ s_g143,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(233,axiom,
s_partOf @ s_YE @ s_g145,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb224) ).
thf(837,plain,
s_partOf @ s_YE @ s_g145,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[233]) ).
thf(43,axiom,
s_partOf @ s_BG @ s_g151,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb302) ).
thf(647,plain,
s_partOf @ s_BG @ s_g151,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(392,axiom,
s_contains @ s_g034 @ s_PK,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb189) ).
thf(997,plain,
s_contains @ s_g034 @ s_PK,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[392]) ).
thf(494,axiom,
s_contains @ s_g039 @ s_GI,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb246) ).
thf(1099,plain,
s_contains @ s_g039 @ s_GI,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[494]) ).
thf(380,axiom,
s_contains @ s_g014 @ s_SO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb102) ).
thf(985,plain,
s_contains @ s_g014 @ s_SO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[380]) ).
thf(525,axiom,
s_contains @ s_g029 @ s_KY,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb432) ).
thf(1131,plain,
s_contains @ s_g029 @ s_KY,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[525]) ).
thf(50,axiom,
s_partOf @ s_LA @ s_g035,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb495) ).
thf(654,plain,
s_partOf @ s_LA @ s_g035,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(455,axiom,
s_contains @ s_g030 @ s_TW,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb136) ).
thf(1060,plain,
s_contains @ s_g030 @ s_TW,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[455]) ).
thf(445,axiom,
s_contains @ s_g029 @ s_AI,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb418) ).
thf(1050,plain,
s_contains @ s_g029 @ s_AI,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[445]) ).
thf(29,axiom,
s_partOf @ s_PA @ s_g013,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb87) ).
thf(633,plain,
s_partOf @ s_PA @ s_g013,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(201,axiom,
s_partOf @ s_BM @ s_g021,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb453) ).
thf(805,plain,
s_partOf @ s_BM @ s_g021,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[201]) ).
thf(317,axiom,
s_contains @ s_g057 @ s_MH,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb558) ).
thf(921,plain,
s_contains @ s_g057 @ s_MH,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[317]) ).
thf(53,axiom,
s_partOf @ s_RW @ s_g014,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb120) ).
thf(657,plain,
s_partOf @ s_RW @ s_g014,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(564,axiom,
s_contains @ s_g029 @ s_MF,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb434) ).
thf(1170,plain,
s_contains @ s_g029 @ s_MF,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[564]) ).
thf(430,axiom,
s_contains @ s_g151 @ s_SK,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb270) ).
thf(1035,plain,
s_contains @ s_g151 @ s_SK,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[430]) ).
thf(466,axiom,
s_contains @ s_g143 @ s_TJ,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb153) ).
thf(1071,plain,
s_contains @ s_g143 @ s_TJ,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[466]) ).
thf(322,axiom,
s_contains @ s_g013 @ s_HN,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb73) ).
thf(926,plain,
s_contains @ s_g013 @ s_HN,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[322]) ).
thf(595,axiom,
s_contains @ s_g142 @ s_g035,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb25) ).
thf(1202,plain,
s_contains @ s_g142 @ s_g035,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[595]) ).
thf(188,axiom,
s_partOf @ s_g039 @ s_g150,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb241) ).
thf(792,plain,
s_partOf @ s_g039 @ s_g150,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).
thf(481,axiom,
s_contains @ s_g061 @ s_TK,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb575) ).
thf(1086,plain,
s_contains @ s_g061 @ s_TK,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[481]) ).
thf(334,axiom,
s_contains @ s_g057 @ s_NR,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb560) ).
thf(938,plain,
s_contains @ s_g057 @ s_NR,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[334]) ).
thf(161,axiom,
s_partOf @ s_UA @ s_g151,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb315) ).
thf(765,plain,
s_partOf @ s_UA @ s_g151,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).
thf(449,axiom,
s_contains @ s_g002 @ s_g017,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb9) ).
thf(1054,plain,
s_contains @ s_g002 @ s_g017,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[449]) ).
thf(580,axiom,
s_contains @ s_g029 @ s_TC,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb438) ).
thf(1187,plain,
s_contains @ s_g029 @ s_TC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[580]) ).
thf(70,axiom,
s_partOf @ s_WS @ s_g061,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb590) ).
thf(674,plain,
s_partOf @ s_WS @ s_g061,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(421,axiom,
s_contains @ s_g061 @ s_PN,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb574) ).
thf(1026,plain,
s_contains @ s_g061 @ s_PN,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[421]) ).
thf(561,axiom,
s_contains @ s_g005 @ s_UY,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb407) ).
thf(1167,plain,
s_contains @ s_g005 @ s_UY,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[561]) ).
thf(349,axiom,
s_contains @ s_g053 @ s_NZ,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb539) ).
thf(953,plain,
s_contains @ s_g053 @ s_NZ,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[349]) ).
thf(578,axiom,
s_contains @ s_g145 @ s_OM,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb170) ).
thf(1185,plain,
s_contains @ s_g145 @ s_OM,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[578]) ).
thf(169,axiom,
s_partOf @ s_g034 @ s_g142,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb179) ).
thf(773,plain,
s_partOf @ s_g034 @ s_g142,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(190,axiom,
s_partOf @ s_CR @ s_g013,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb82) ).
thf(794,plain,
s_partOf @ s_CR @ s_g013,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[190]) ).
thf(58,axiom,
s_partOf @ s_MW @ s_g014,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb117) ).
thf(662,plain,
s_partOf @ s_MW @ s_g014,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(114,axiom,
s_partOf @ s_GL @ s_g021,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb455) ).
thf(718,plain,
s_partOf @ s_GL @ s_g021,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(284,axiom,
s_partOf @ s_g018 @ s_g002,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb387) ).
thf(888,plain,
s_partOf @ s_g018 @ s_g002,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[284]) ).
thf(302,axiom,
s_contains @ s_g014 @ s_KM,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb94) ).
thf(906,plain,
s_contains @ s_g014 @ s_KM,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[302]) ).
thf(529,axiom,
s_contains @ s_g005 @ s_GY,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb403) ).
thf(1135,plain,
s_contains @ s_g005 @ s_GY,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[529]) ).
thf(14,axiom,
s_partOf @ s_AN @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb460) ).
thf(618,plain,
s_partOf @ s_AN @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(540,axiom,
s_contains @ s_g014 @ s_DJ,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb90) ).
thf(1146,plain,
s_contains @ s_g014 @ s_DJ,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[540]) ).
thf(498,axiom,
s_contains @ s_g057 @ s_MP,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb559) ).
thf(1103,plain,
s_contains @ s_g057 @ s_MP,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[498]) ).
thf(220,axiom,
s_partOf @ s_TK @ s_g061,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb586) ).
thf(824,plain,
s_partOf @ s_TK @ s_g061,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[220]) ).
thf(252,axiom,
s_partOf @ s_g145 @ s_g142,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb158) ).
thf(856,plain,
s_partOf @ s_g145 @ s_g142,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[252]) ).
thf(141,axiom,
s_partOf @ s_KP @ s_g030,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb487) ).
thf(745,plain,
s_partOf @ s_KP @ s_g030,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(85,axiom,
s_partOf @ s_DD @ s_g155,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb342) ).
thf(689,plain,
s_partOf @ s_DD @ s_g155,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(129,axiom,
s_partOf @ s_IL @ s_g145,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb212) ).
thf(733,plain,
s_partOf @ s_IL @ s_g145,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(361,axiom,
s_contains @ s_g018 @ s_BW,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb382) ).
thf(965,plain,
s_contains @ s_g018 @ s_BW,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[361]) ).
thf(146,axiom,
s_partOf @ s_g155 @ s_g150,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb290) ).
thf(750,plain,
s_partOf @ s_g155 @ s_g150,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(548,axiom,
s_contains @ s_g155 @ s_AT,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb291) ).
thf(1154,plain,
s_contains @ s_g155 @ s_AT,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[548]) ).
thf(215,axiom,
s_partOf @ s_NP @ s_g034,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb598) ).
thf(819,plain,
s_partOf @ s_NP @ s_g034,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[215]) ).
thf(128,axiom,
s_partOf @ s_GD @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb468) ).
thf(732,plain,
s_partOf @ s_GD @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(168,axiom,
s_partOf @ s_NT @ s_g145,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb221) ).
thf(772,plain,
s_partOf @ s_NT @ s_g145,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(139,axiom,
s_partOf @ s_GG @ s_g830,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb318) ).
thf(743,plain,
s_partOf @ s_GG @ s_g830,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(354,axiom,
s_contains @ s_g021 @ s_GL,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb412) ).
thf(958,plain,
s_contains @ s_g021 @ s_GL,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[354]) ).
thf(518,axiom,
s_contains @ s_g019 @ s_g419,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb22) ).
thf(1124,plain,
s_contains @ s_g019 @ s_g419,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[518]) ).
thf(300,axiom,
s_contains @ s_g011 @ s_NE,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb46) ).
thf(904,plain,
s_contains @ s_g011 @ s_NE,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[300]) ).
thf(371,axiom,
s_contains @ s_g017 @ s_CD,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb350) ).
thf(975,plain,
s_contains @ s_g017 @ s_CD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[371]) ).
thf(402,axiom,
s_contains @ s_g029 @ s_LC,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb433) ).
thf(1007,plain,
s_contains @ s_g029 @ s_LC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[402]) ).
thf(90,axiom,
s_partOf @ s_KM @ s_g014,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb114) ).
thf(694,plain,
s_partOf @ s_KM @ s_g014,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(239,axiom,
s_partOf @ s_WF @ s_g061,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb589) ).
thf(843,plain,
s_partOf @ s_WF @ s_g061,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[239]) ).
thf(519,axiom,
s_contains @ s_g151 @ s_BG,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb261) ).
thf(1125,plain,
s_contains @ s_g151 @ s_BG,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[519]) ).
thf(271,axiom,
s_partOf @ s_AE @ s_g145,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb203) ).
thf(875,plain,
s_partOf @ s_AE @ s_g145,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[271]) ).
thf(222,axiom,
s_partOf @ s_NF @ s_g053,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb542) ).
thf(826,plain,
s_partOf @ s_NF @ s_g053,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[222]) ).
thf(107,axiom,
s_partOf @ s_IQ @ s_g145,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb213) ).
thf(711,plain,
s_partOf @ s_IQ @ s_g145,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(37,axiom,
s_partOf @ s_TO @ s_g061,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb587) ).
thf(641,plain,
s_partOf @ s_TO @ s_g061,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(533,axiom,
s_contains @ s_g017 @ s_AO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb349) ).
thf(1139,plain,
s_contains @ s_g017 @ s_AO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[533]) ).
thf(332,axiom,
s_contains @ s_g054 @ s_VU,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb548) ).
thf(936,plain,
s_contains @ s_g054 @ s_VU,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[332]) ).
thf(109,axiom,
s_partOf @ s_PW @ s_g057,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb569) ).
thf(713,plain,
s_partOf @ s_PW @ s_g057,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(487,axiom,
s_contains @ s_g419 @ s_g013,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb451) ).
thf(1092,plain,
s_contains @ s_g419 @ s_g013,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[487]) ).
thf(485,axiom,
s_contains @ s_g039 @ s_SM,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb257) ).
thf(1090,plain,
s_contains @ s_g039 @ s_SM,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[485]) ).
thf(100,axiom,
s_partOf @ s_AX @ s_g154,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb323) ).
thf(704,plain,
s_partOf @ s_AX @ s_g154,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(343,axiom,
s_contains @ s_g154 @ s_DK,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb277) ).
thf(947,plain,
s_contains @ s_g154 @ s_DK,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[343]) ).
thf(68,axiom,
s_partOf @ s_LS @ s_g018,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb389) ).
thf(672,plain,
s_partOf @ s_LS @ s_g018,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(7,axiom,
s_partOf @ s_KI @ s_g057,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb565) ).
thf(611,plain,
s_partOf @ s_KI @ s_g057,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(183,axiom,
s_partOf @ s_TD @ s_g017,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb369) ).
thf(787,plain,
s_partOf @ s_TD @ s_g017,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).
thf(453,axiom,
s_contains @ s_g145 @ s_AE,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb159) ).
thf(1058,plain,
s_contains @ s_g145 @ s_AE,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[453]) ).
thf(501,axiom,
s_partOf @ s_g003 @ s_g019,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb445) ).
thf(1107,plain,
s_partOf @ s_g003 @ s_g019,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[501]) ).
thf(315,axiom,
s_contains @ s_g143 @ s_TM,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb152) ).
thf(919,plain,
s_contains @ s_g143 @ s_TM,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[315]) ).
thf(200,axiom,
s_partOf @ s_RE @ s_g014,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb119) ).
thf(804,plain,
s_partOf @ s_RE @ s_g014,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[200]) ).
thf(587,axiom,
s_contains @ s_g021 @ s_CA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb411) ).
thf(1194,plain,
s_contains @ s_g021 @ s_CA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[587]) ).
thf(602,axiom,
s_contains @ s_g172 @ s_TJ,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb378) ).
thf(1209,plain,
s_contains @ s_g172 @ s_TJ,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[602]) ).
thf(296,axiom,
s_contains @ s_g150 @ s_g151,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb32) ).
thf(900,plain,
s_contains @ s_g150 @ s_g151,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[296]) ).
thf(227,axiom,
s_partOf @ s_AO @ s_g017,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb360) ).
thf(831,plain,
s_partOf @ s_AO @ s_g017,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[227]) ).
thf(77,axiom,
s_partOf @ s_JP @ s_g030,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb486) ).
thf(681,plain,
s_partOf @ s_JP @ s_g030,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(406,axiom,
s_contains @ s_g018 @ s_ZA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb386) ).
thf(1011,plain,
s_contains @ s_g018 @ s_ZA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[406]) ).
thf(538,axiom,
s_contains @ s_g039 @ s_BA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb244) ).
thf(1144,plain,
s_contains @ s_g039 @ s_BA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[538]) ).
thf(133,axiom,
s_partOf @ s_IN @ s_g034,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb594) ).
thf(737,plain,
s_partOf @ s_IN @ s_g034,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(160,axiom,
s_partOf @ s_CG @ s_g017,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb364) ).
thf(764,plain,
s_partOf @ s_CG @ s_g017,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(375,axiom,
s_contains @ s_g029 @ s_VG,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb441) ).
thf(979,plain,
s_contains @ s_g029 @ s_VG,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[375]) ).
thf(180,axiom,
s_partOf @ s_BU @ s_g035,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb497) ).
thf(784,plain,
s_partOf @ s_BU @ s_g035,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).
thf(511,axiom,
s_contains @ s_g005 @ s_FK,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb401) ).
thf(1117,plain,
s_contains @ s_g005 @ s_FK,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[511]) ).
thf(443,axiom,
s_contains @ s_g154 @ s_AX,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb276) ).
thf(1048,plain,
s_contains @ s_g154 @ s_AX,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[443]) ).
thf(132,axiom,
s_partOf @ s_OM @ s_g145,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb217) ).
thf(736,plain,
s_partOf @ s_OM @ s_g145,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(385,axiom,
s_contains @ s_g029 @ s_KN,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb431) ).
thf(990,plain,
s_contains @ s_g029 @ s_KN,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[385]) ).
thf(391,axiom,
s_contains @ s_g150 @ s_g155,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb34) ).
thf(996,plain,
s_contains @ s_g150 @ s_g155,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[391]) ).
thf(276,axiom,
s_partOf @ s_FR @ s_g155,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb343) ).
thf(880,plain,
s_partOf @ s_FR @ s_g155,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[276]) ).
thf(45,axiom,
s_partOf @ s_RU @ s_g151,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb311) ).
thf(649,plain,
s_partOf @ s_RU @ s_g151,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(438,axiom,
s_contains @ s_g021 @ s_PM,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb413) ).
thf(1043,plain,
s_contains @ s_g021 @ s_PM,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[438]) ).
thf(12,axiom,
s_partOf @ s_HR @ s_g039,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb511) ).
thf(616,plain,
s_partOf @ s_HR @ s_g039,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(516,axiom,
s_contains @ s_g013 @ s_GT,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb72) ).
thf(1122,plain,
s_contains @ s_g013 @ s_GT,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[516]) ).
thf(259,axiom,
s_partOf @ s_MG @ s_g014,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb115) ).
thf(863,plain,
s_partOf @ s_MG @ s_g014,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[259]) ).
thf(569,axiom,
s_contains @ s_g014 @ s_YT,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb105) ).
thf(1175,plain,
s_contains @ s_g014 @ s_YT,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[569]) ).
thf(286,axiom,
s_partOf @ s_BJ @ s_g011,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb54) ).
thf(890,plain,
s_partOf @ s_BJ @ s_g011,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[286]) ).
thf(207,axiom,
s_partOf @ s_AZ @ s_g172,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb207) ).
thf(811,plain,
s_partOf @ s_AZ @ s_g172,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[207]) ).
thf(475,axiom,
s_contains @ s_g142 @ s_g034,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb28) ).
thf(1080,plain,
s_contains @ s_g142 @ s_g034,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[475]) ).
thf(27,axiom,
s_partOf @ s_TM @ s_g172,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb194) ).
thf(631,plain,
s_partOf @ s_TM @ s_g172,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(154,axiom,
s_partOf @ s_SU @ s_g151,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb313) ).
thf(758,plain,
s_partOf @ s_SU @ s_g151,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(254,axiom,
s_partOf @ s_TM @ s_g143,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb193) ).
thf(858,plain,
s_partOf @ s_TM @ s_g143,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[254]) ).
thf(212,axiom,
s_partOf @ s_g143 @ s_g142,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb151) ).
thf(816,plain,
s_partOf @ s_g143 @ s_g142,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[212]) ).
thf(5,axiom,
s_partOf @ s_ZW @ s_g014,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb127) ).
thf(609,plain,
s_partOf @ s_ZW @ s_g014,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(17,axiom,
s_partOf @ s_CH @ s_g155,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb340) ).
thf(621,plain,
s_partOf @ s_CH @ s_g155,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(165,axiom,
s_partOf @ s_SV @ s_g013,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb88) ).
thf(769,plain,
s_partOf @ s_SV @ s_g013,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).
thf(64,axiom,
s_partOf @ s_BI @ s_g014,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb109) ).
thf(668,plain,
s_partOf @ s_BI @ s_g014,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(506,axiom,
s_contains @ s_g150 @ s_g039,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb31) ).
thf(1112,plain,
s_contains @ s_g150 @ s_g039,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[506]) ).
thf(195,axiom,
s_partOf @ s_PL @ s_g151,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb309) ).
thf(799,plain,
s_partOf @ s_PL @ s_g151,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[195]) ).
thf(556,axiom,
s_partOf @ s_g013 @ s_g019,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb78) ).
thf(1162,plain,
s_partOf @ s_g013 @ s_g019,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[556]) ).
thf(122,axiom,
s_partOf @ s_AM @ s_g172,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb205) ).
thf(726,plain,
s_partOf @ s_AM @ s_g172,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(244,axiom,
s_partOf @ s_TG @ s_g011,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb69) ).
thf(848,plain,
s_partOf @ s_TG @ s_g011,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[244]) ).
thf(96,axiom,
s_partOf @ s_BL @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb463) ).
thf(700,plain,
s_partOf @ s_BL @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(424,axiom,
s_contains @ s_g029 @ s_VC,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb440) ).
thf(1029,plain,
s_contains @ s_g029 @ s_VC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[424]) ).
thf(291,axiom,
s_partOf @ s_IM @ s_g154,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb319) ).
thf(895,plain,
s_partOf @ s_IM @ s_g154,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[291]) ).
thf(543,axiom,
s_contains @ s_g014 @ s_SC,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb101) ).
thf(1149,plain,
s_contains @ s_g014 @ s_SC,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[543]) ).
thf(360,axiom,
s_contains @ s_g151 @ s_PL,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb266) ).
thf(964,plain,
s_contains @ s_g151 @ s_PL,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[360]) ).
thf(22,axiom,
s_partOf @ s_HN @ s_g013,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb84) ).
thf(626,plain,
s_partOf @ s_HN @ s_g013,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(311,axiom,
s_contains @ s_g018 @ s_NA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb384) ).
thf(915,plain,
s_contains @ s_g018 @ s_NA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[311]) ).
thf(339,axiom,
s_contains @ s_g014 @ s_ZW,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb107) ).
thf(943,plain,
s_contains @ s_g014 @ s_ZW,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[339]) ).
thf(417,axiom,
s_contains @ s_g002 @ s_g014,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb7) ).
thf(1022,plain,
s_contains @ s_g002 @ s_g014,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[417]) ).
thf(328,axiom,
s_contains @ s_g154 @ s_IS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb284) ).
thf(932,plain,
s_contains @ s_g154 @ s_IS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[328]) ).
thf(456,axiom,
s_contains @ s_g019 @ s_g005,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb17) ).
thf(1061,plain,
s_contains @ s_g019 @ s_g005,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[456]) ).
thf(379,axiom,
! [A: $i,B: $i] :
( ( s_partOf @ A @ B )
=> ( s_contains @ B @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom2) ).
thf(983,plain,
! [A: $i,B: $i] :
( ( s_partOf @ A @ B )
=> ( s_contains @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[379]) ).
thf(591,axiom,
s_contains @ s_g151 @ s_RU,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb268) ).
thf(1198,plain,
s_contains @ s_g151 @ s_RU,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[591]) ).
thf(355,axiom,
s_contains @ s_g013 @ s_SV,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb77) ).
thf(959,plain,
s_contains @ s_g013 @ s_SV,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[355]) ).
thf(176,axiom,
s_partOf @ s_BH @ s_g145,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb208) ).
thf(780,plain,
s_partOf @ s_BH @ s_g145,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).
thf(279,axiom,
s_partOf @ s_KN @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb472) ).
thf(883,plain,
s_partOf @ s_KN @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[279]) ).
thf(410,axiom,
s_contains @ s_g151 @ s_HU,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb264) ).
thf(1015,plain,
s_contains @ s_g151 @ s_HU,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[410]) ).
thf(381,axiom,
s_contains @ s_g145 @ s_NT,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb174) ).
thf(986,plain,
s_contains @ s_g145 @ s_NT,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[381]) ).
thf(507,axiom,
s_contains @ s_g011 @ s_BF,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb35) ).
thf(1113,plain,
s_contains @ s_g011 @ s_BF,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[507]) ).
thf(395,axiom,
s_contains @ s_g011 @ s_SN,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb50) ).
thf(1000,plain,
s_contains @ s_g011 @ s_SN,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[395]) ).
thf(49,axiom,
s_partOf @ s_SL @ s_g011,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb67) ).
thf(653,plain,
s_partOf @ s_SL @ s_g011,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(318,axiom,
s_contains @ s_g145 @ s_AZ,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb161) ).
thf(922,plain,
s_contains @ s_g145 @ s_AZ,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[318]) ).
thf(54,axiom,
s_partOf @ s_MH @ s_g057,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb566) ).
thf(658,plain,
s_partOf @ s_MH @ s_g057,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(308,axiom,
s_contains @ s_g029 @ s_DO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb426) ).
thf(912,plain,
s_contains @ s_g029 @ s_DO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[308]) ).
thf(81,axiom,
s_partOf @ s_VA @ s_g039,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb521) ).
thf(685,plain,
s_partOf @ s_VA @ s_g039,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(565,axiom,
s_contains @ s_g001 @ s_g002,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb0) ).
thf(1171,plain,
s_contains @ s_g001 @ s_g002,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[565]) ).
thf(164,axiom,
s_partOf @ s_MS @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb477) ).
thf(768,plain,
s_partOf @ s_MS @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(223,axiom,
s_partOf @ s_LY @ s_g015,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb237) ).
thf(827,plain,
s_partOf @ s_LY @ s_g015,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[223]) ).
thf(91,axiom,
s_partOf @ s_g015 @ s_g002,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb233) ).
thf(695,plain,
s_partOf @ s_g015 @ s_g002,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(32,axiom,
s_partOf @ s_FM @ s_g057,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb563) ).
thf(636,plain,
s_partOf @ s_FM @ s_g057,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(439,axiom,
s_contains @ s_g039 @ s_VA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb258) ).
thf(1044,plain,
s_contains @ s_g039 @ s_VA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[439]) ).
thf(461,axiom,
s_contains @ s_g015 @ s_TN,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb232) ).
thf(1066,plain,
s_contains @ s_g015 @ s_TN,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[461]) ).
thf(264,axiom,
s_partOf @ s_LV @ s_g154,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb332) ).
thf(868,plain,
s_partOf @ s_LV @ s_g154,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[264]) ).
thf(570,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( s_contains @ A @ B )
& ( s_contains @ B @ C ) )
=> ( s_contains @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom1) ).
thf(1176,plain,
! [A: $i,B: $i,C: $i] :
( ( ( s_contains @ A @ B )
& ( s_contains @ B @ C ) )
=> ( s_contains @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[570]) ).
thf(4,axiom,
s_partOf @ s_KZ @ s_g143,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb199) ).
thf(608,plain,
s_partOf @ s_KZ @ s_g143,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(247,axiom,
s_partOf @ s_PT @ s_g039,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb518) ).
thf(851,plain,
s_partOf @ s_PT @ s_g039,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[247]) ).
thf(497,axiom,
s_partOf @ s_g419 @ s_g019,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb449) ).
thf(1102,plain,
s_partOf @ s_g419 @ s_g019,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[497]) ).
thf(471,axiom,
s_contains @ s_g034 @ s_NP,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb188) ).
thf(1076,plain,
s_contains @ s_g034 @ s_NP,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[471]) ).
thf(118,axiom,
s_partOf @ s_BW @ s_g018,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb388) ).
thf(722,plain,
s_partOf @ s_BW @ s_g018,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(429,axiom,
s_contains @ s_g014 @ s_RW,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb100) ).
thf(1034,plain,
s_contains @ s_g014 @ s_RW,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[429]) ).
thf(71,axiom,
s_partOf @ s_EG @ s_g015,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb235) ).
thf(675,plain,
s_partOf @ s_EG @ s_g015,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(560,axiom,
s_contains @ s_g061 @ s_WF,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb578) ).
thf(1166,plain,
s_contains @ s_g061 @ s_WF,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[560]) ).
thf(340,axiom,
s_contains @ s_g035 @ s_TH,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb147) ).
thf(944,plain,
s_contains @ s_g035 @ s_TH,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[340]) ).
thf(59,axiom,
s_partOf @ s_CI @ s_g011,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb55) ).
thf(663,plain,
s_partOf @ s_CI @ s_g011,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(323,axiom,
s_contains @ s_g061 @ s_TV,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb577) ).
thf(927,plain,
s_contains @ s_g061 @ s_TV,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[323]) ).
thf(208,axiom,
s_partOf @ s_g035 @ s_g142,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb137) ).
thf(812,plain,
s_partOf @ s_g035 @ s_g142,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[208]) ).
thf(13,axiom,
s_partOf @ s_MP @ s_g057,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb567) ).
thf(617,plain,
s_partOf @ s_MP @ s_g057,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(335,axiom,
s_contains @ s_g151 @ s_CZ,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb263) ).
thf(939,plain,
s_contains @ s_g151 @ s_CZ,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[335]) ).
thf(150,axiom,
s_partOf @ s_DJ @ s_g014,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb110) ).
thf(754,plain,
s_partOf @ s_DJ @ s_g014,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(232,axiom,
s_partOf @ s_NZ @ s_g053,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb543) ).
thf(836,plain,
s_partOf @ s_NZ @ s_g053,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[232]) ).
thf(444,axiom,
s_contains @ s_g030 @ s_HK,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb130) ).
thf(1049,plain,
s_contains @ s_g030 @ s_HK,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[444]) ).
thf(596,axiom,
s_partOf @ s_g019 @ s_g001,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb16) ).
thf(1203,plain,
s_partOf @ s_g019 @ s_g001,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[596]) ).
thf(601,axiom,
s_contains @ s_g015 @ s_EG,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb227) ).
thf(1208,plain,
s_contains @ s_g015 @ s_EG,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[601]) ).
thf(191,axiom,
s_partOf @ s_ML @ s_g011,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb62) ).
thf(795,plain,
s_partOf @ s_ML @ s_g011,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).
thf(76,axiom,
s_partOf @ s_AI @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb459) ).
thf(680,plain,
s_partOf @ s_AI @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(528,axiom,
s_contains @ s_g019 @ s_g013,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb18) ).
thf(1134,plain,
s_contains @ s_g019 @ s_g013,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[528]) ).
thf(44,axiom,
s_partOf @ s_CL @ s_g005,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb526) ).
thf(648,plain,
s_partOf @ s_CL @ s_g005,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(476,axiom,
s_contains @ s_g029 @ s_MS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb436) ).
thf(1081,plain,
s_contains @ s_g029 @ s_MS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[476]) ).
thf(145,axiom,
s_partOf @ s_g154 @ s_g150,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb272) ).
thf(749,plain,
s_partOf @ s_g154 @ s_g150,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(539,axiom,
s_contains @ s_g145 @ s_QA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb172) ).
thf(1145,plain,
s_contains @ s_g145 @ s_QA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[539]) ).
thf(413,axiom,
s_contains @ s_g029 @ s_MQ,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb435) ).
thf(1018,plain,
s_contains @ s_g029 @ s_MQ,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[413]) ).
thf(364,axiom,
s_contains @ s_g005 @ s_PY,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb405) ).
thf(968,plain,
s_contains @ s_g005 @ s_PY,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[364]) ).
thf(574,axiom,
s_contains @ s_g030 @ s_JP,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb131) ).
thf(1181,plain,
s_contains @ s_g030 @ s_JP,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[574]) ).
thf(219,axiom,
s_partOf @ s_BO @ s_g005,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb524) ).
thf(823,plain,
s_partOf @ s_BO @ s_g005,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[219]) ).
thf(172,axiom,
s_partOf @ s_MF @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb475) ).
thf(776,plain,
s_partOf @ s_MF @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).
thf(251,axiom,
s_partOf @ s_AF @ s_g034,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb591) ).
thf(855,plain,
s_partOf @ s_AF @ s_g034,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[251]) ).
thf(86,axiom,
s_partOf @ s_NL @ s_g155,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb348) ).
thf(690,plain,
s_partOf @ s_NL @ s_g155,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(36,axiom,
s_partOf @ s_g034 @ s_g062,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb180) ).
thf(640,plain,
s_partOf @ s_g034 @ s_g062,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(420,axiom,
s_contains @ s_g172 @ s_KZ,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb375) ).
thf(1025,plain,
s_contains @ s_g172 @ s_KZ,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[420]) ).
thf(103,axiom,
s_partOf @ s_TP @ s_g035,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb503) ).
thf(707,plain,
s_partOf @ s_TP @ s_g035,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(283,axiom,
s_partOf @ s_IT @ s_g039,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb512) ).
thf(887,plain,
s_partOf @ s_IT @ s_g039,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[283]) ).
thf(367,axiom,
s_contains @ s_g019 @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb20) ).
thf(971,plain,
s_contains @ s_g019 @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[367]) ).
thf(350,axiom,
s_contains @ s_g002 @ s_g015,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb8) ).
thf(954,plain,
s_contains @ s_g002 @ s_g015,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[350]) ).
thf(135,axiom,
s_partOf @ s_MC @ s_g155,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb347) ).
thf(739,plain,
s_partOf @ s_MC @ s_g155,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(493,axiom,
s_contains @ s_g005 @ s_BO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb396) ).
thf(1098,plain,
s_contains @ s_g005 @ s_BO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[493]) ).
thf(388,axiom,
s_contains @ s_g155 @ s_LI,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb298) ).
thf(993,plain,
s_contains @ s_g155 @ s_LI,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[388]) ).
thf(108,axiom,
s_partOf @ s_CM @ s_g017,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb365) ).
thf(712,plain,
s_partOf @ s_CM @ s_g017,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(398,axiom,
s_contains @ s_g013 @ s_PA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb76) ).
thf(1003,plain,
s_contains @ s_g013 @ s_PA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[398]) ).
thf(465,axiom,
s_contains @ s_g172 @ s_BY,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb372) ).
thf(1070,plain,
s_contains @ s_g172 @ s_BY,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[465]) ).
thf(268,axiom,
s_partOf @ s_g143 @ s_g062,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb157) ).
thf(872,plain,
s_partOf @ s_g143 @ s_g062,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[268]) ).
thf(101,axiom,
s_partOf @ s_MQ @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb476) ).
thf(705,plain,
s_partOf @ s_MQ @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(550,axiom,
s_contains @ s_g034 @ s_BD,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb182) ).
thf(1156,plain,
s_contains @ s_g034 @ s_BD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[550]) ).
thf(448,axiom,
s_contains @ s_g030 @ s_MO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb135) ).
thf(1053,plain,
s_contains @ s_g030 @ s_MO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[448]) ).
thf(69,axiom,
s_partOf @ s_SD @ s_g015,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb239) ).
thf(673,plain,
s_partOf @ s_SD @ s_g015,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(187,axiom,
s_partOf @ s_LK @ s_g034,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb596) ).
thf(791,plain,
s_partOf @ s_LK @ s_g034,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).
thf(433,axiom,
s_contains @ s_g039 @ s_ES,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb245) ).
thf(1038,plain,
s_contains @ s_g039 @ s_ES,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[433]) ).
thf(113,axiom,
s_partOf @ s_US @ s_g021,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb457) ).
thf(717,plain,
s_partOf @ s_US @ s_g021,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(236,axiom,
s_partOf @ s_NC @ s_g054,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb551) ).
thf(840,plain,
s_partOf @ s_NC @ s_g054,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[236]) ).
thf(480,axiom,
s_contains @ s_g018 @ s_SZ,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb385) ).
thf(1085,plain,
s_contains @ s_g018 @ s_SZ,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[480]) ).
thf(524,axiom,
s_contains @ s_g035 @ s_BN,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb138) ).
thf(1130,plain,
s_contains @ s_g035 @ s_BN,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[524]) ).
thf(39,axiom,
s_partOf @ s_LI @ s_g155,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb345) ).
thf(643,plain,
s_partOf @ s_LI @ s_g155,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(303,axiom,
s_contains @ s_g145 @ s_CY,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb163) ).
thf(907,plain,
s_contains @ s_g145 @ s_CY,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[303]) ).
thf(581,axiom,
s_contains @ s_g035 @ s_SG,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb146) ).
thf(1188,plain,
s_contains @ s_g035 @ s_SG,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[581]) ).
thf(579,axiom,
s_contains @ s_g011 @ s_GN,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb41) ).
thf(1186,plain,
s_contains @ s_g011 @ s_GN,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[579]) ).
thf(347,axiom,
s_contains @ s_g030 @ s_CN,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb129) ).
thf(951,plain,
s_contains @ s_g030 @ s_CN,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[347]) ).
thf(204,axiom,
s_partOf @ s_g029 @ s_g003,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb443) ).
thf(808,plain,
s_partOf @ s_g029 @ s_g003,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[204]) ).
thf(140,axiom,
s_partOf @ s_SZ @ s_g018,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb391) ).
thf(744,plain,
s_partOf @ s_SZ @ s_g018,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(99,axiom,
s_partOf @ s_CN @ s_g030,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb484) ).
thf(703,plain,
s_partOf @ s_CN @ s_g030,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(535,axiom,
s_contains @ s_g062 @ s_g034,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb191) ).
thf(1141,plain,
s_contains @ s_g062 @ s_g034,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[535]) ).
thf(9,axiom,
s_partOf @ s_GP @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb469) ).
thf(613,plain,
s_partOf @ s_GP @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(447,axiom,
s_contains @ s_g154 @ s_IE,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb282) ).
thf(1052,plain,
s_contains @ s_g154 @ s_IE,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[447]) ).
thf(260,axiom,
s_partOf @ s_SM @ s_g039,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb520) ).
thf(864,plain,
s_partOf @ s_SM @ s_g039,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[260]) ).
thf(123,axiom,
s_partOf @ s_JE @ s_g830,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb322) ).
thf(727,plain,
s_partOf @ s_JE @ s_g830,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(403,axiom,
s_partOf @ s_g021 @ s_g019,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb409) ).
thf(1008,plain,
s_partOf @ s_g021 @ s_g019,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[403]) ).
thf(8,axiom,
s_partOf @ s_g142 @ s_g001,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb23) ).
thf(612,plain,
s_partOf @ s_g142 @ s_g001,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(272,axiom,
s_partOf @ s_g013 @ s_g419,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb80) ).
thf(876,plain,
s_partOf @ s_g013 @ s_g419,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[272]) ).
thf(255,axiom,
s_partOf @ s_HU @ s_g151,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb306) ).
thf(859,plain,
s_partOf @ s_HU @ s_g151,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[255]) ).
thf(386,axiom,
s_contains @ s_g015 @ s_DZ,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb226) ).
thf(991,plain,
s_contains @ s_g015 @ s_DZ,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[386]) ).
thf(52,axiom,
s_partOf @ s_DZ @ s_g015,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb234) ).
thf(656,plain,
s_partOf @ s_DZ @ s_g015,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(418,axiom,
s_contains @ s_g154 @ s_FO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb280) ).
thf(1023,plain,
s_contains @ s_g154 @ s_FO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[418]) ).
thf(489,axiom,
s_contains @ s_g172 @ s_RU,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb377) ).
thf(1094,plain,
s_contains @ s_g172 @ s_RU,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[489]) ).
thf(374,axiom,
s_contains @ s_g830 @ s_GG,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb336) ).
thf(978,plain,
s_contains @ s_g830 @ s_GG,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[374]) ).
thf(534,axiom,
s_contains @ s_g154 @ s_IM,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb274) ).
thf(1140,plain,
s_contains @ s_g154 @ s_IM,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[534]) ).
thf(241,axiom,
s_partOf @ s_g150 @ s_g001,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb30) ).
thf(845,plain,
s_partOf @ s_g150 @ s_g001,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[241]) ).
thf(23,axiom,
s_partOf @ s_VE @ s_g005,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb536) ).
thf(627,plain,
s_partOf @ s_VE @ s_g005,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(479,axiom,
s_contains @ s_g005 @ s_PE,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb404) ).
thf(1084,plain,
s_contains @ s_g005 @ s_PE,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[479]) ).
thf(573,axiom,
s_contains @ s_g011 @ s_NG,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb47) ).
thf(1180,plain,
s_contains @ s_g011 @ s_NG,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[573]) ).
thf(327,axiom,
s_contains @ s_g002 @ s_g011,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb6) ).
thf(931,plain,
s_contains @ s_g002 @ s_g011,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[327]) ).
thf(67,axiom,
s_partOf @ s_GM @ s_g011,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb58) ).
thf(671,plain,
s_partOf @ s_GM @ s_g011,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(551,axiom,
s_contains @ s_g061 @ s_PF,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb573) ).
thf(1157,plain,
s_contains @ s_g061 @ s_PF,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[551]) ).
thf(155,axiom,
s_partOf @ s_TR @ s_g145,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb223) ).
thf(759,plain,
s_partOf @ s_TR @ s_g145,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(287,axiom,
s_partOf @ s_AD @ s_g039,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb505) ).
thf(891,plain,
s_partOf @ s_AD @ s_g039,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[287]) ).
thf(520,axiom,
s_contains @ s_g145 @ s_BH,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb162) ).
thf(1126,plain,
s_contains @ s_g145 @ s_BH,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[520]) ).
thf(582,axiom,
s_contains @ s_g029 @ s_JM,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb430) ).
thf(1189,plain,
s_contains @ s_g029 @ s_JM,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[582]) ).
thf(405,axiom,
s_contains @ s_g172 @ s_UZ,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb381) ).
thf(1010,plain,
s_contains @ s_g172 @ s_UZ,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[405]) ).
thf(240,axiom,
s_partOf @ s_SJ @ s_g154,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb335) ).
thf(844,plain,
s_partOf @ s_SJ @ s_g154,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[240]) ).
thf(167,axiom,
s_partOf @ s_GU @ s_g057,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb564) ).
thf(771,plain,
s_partOf @ s_GU @ s_g057,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(502,axiom,
s_contains @ s_g035 @ s_LA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb141) ).
thf(1108,plain,
s_contains @ s_g035 @ s_LA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[502]) ).
thf(372,axiom,
s_contains @ s_g002 @ s_g018,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb10) ).
thf(976,plain,
s_contains @ s_g002 @ s_g018,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[372]) ).
thf(84,axiom,
s_partOf @ s_BA @ s_g039,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb507) ).
thf(688,plain,
s_partOf @ s_BA @ s_g039,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(299,axiom,
s_contains @ s_g145 @ s_IQ,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb166) ).
thf(903,plain,
s_contains @ s_g145 @ s_IQ,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[299]) ).
thf(95,axiom,
s_partOf @ s_g057 @ s_g009,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb562) ).
thf(699,plain,
s_partOf @ s_g057 @ s_g009,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(359,axiom,
s_contains @ s_g054 @ s_PG,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb546) ).
thf(963,plain,
s_contains @ s_g054 @ s_PG,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[359]) ).
thf(457,axiom,
s_contains @ s_g029 @ s_PR,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb437) ).
thf(1062,plain,
s_contains @ s_g029 @ s_PR,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[457]) ).
thf(48,axiom,
s_partOf @ s_EE @ s_g154,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb325) ).
thf(652,plain,
s_partOf @ s_EE @ s_g154,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(28,axiom,
s_partOf @ s_EC @ s_g005,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb528) ).
thf(632,plain,
s_partOf @ s_EC @ s_g005,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(177,axiom,
s_partOf @ s_GB @ s_g154,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb328) ).
thf(781,plain,
s_partOf @ s_GB @ s_g154,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).
thf(390,axiom,
s_contains @ s_g003 @ s_g013,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb446) ).
thf(995,plain,
s_contains @ s_g003 @ s_g013,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[390]) ).
thf(357,axiom,
s_contains @ s_g001 @ s_g142,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb3) ).
thf(961,plain,
s_contains @ s_g001 @ s_g142,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[357]) ).
thf(209,axiom,
s_partOf @ s_TT @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb480) ).
thf(813,plain,
s_partOf @ s_TT @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[209]) ).
thf(292,axiom,
s_partOf @ s_ST @ s_g017,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb368) ).
thf(896,plain,
s_partOf @ s_ST @ s_g017,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[292]) ).
thf(144,axiom,
s_partOf @ s_AS @ s_g061,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb581) ).
thf(748,plain,
s_partOf @ s_AS @ s_g061,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(342,axiom,
s_contains @ s_g061 @ s_CK,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb571) ).
thf(946,plain,
s_contains @ s_g061 @ s_CK,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[342]) ).
thf(496,axiom,
s_contains @ s_g003 @ s_g021,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb447) ).
thf(1101,plain,
s_contains @ s_g003 @ s_g021,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[496]) ).
thf(127,axiom,
s_partOf @ s_SA @ s_g145,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb220) ).
thf(731,plain,
s_partOf @ s_SA @ s_g145,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(182,axiom,
s_partOf @ s_HT @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb470) ).
thf(786,plain,
s_partOf @ s_HT @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).
thf(425,axiom,
s_contains @ s_g039 @ s_HR,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb248) ).
thf(1030,plain,
s_contains @ s_g039 @ s_HR,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[425]) ).
thf(310,axiom,
s_contains @ s_g151 @ s_BY,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb262) ).
thf(914,plain,
s_contains @ s_g151 @ s_BY,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[310]) ).
thf(63,axiom,
s_partOf @ s_ES @ s_g039,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb508) ).
thf(667,plain,
s_partOf @ s_ES @ s_g039,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(325,axiom,
s_contains @ s_g143 @ s_KG,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb154) ).
thf(929,plain,
s_contains @ s_g143 @ s_KG,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[325]) ).
thf(586,axiom,
s_contains @ s_g035 @ s_MY,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb144) ).
thf(1193,plain,
s_contains @ s_g035 @ s_MY,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[586]) ).
thf(472,axiom,
s_contains @ s_g014 @ s_RE,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb99) ).
thf(1077,plain,
s_contains @ s_g014 @ s_RE,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[472]) ).
thf(605,axiom,
s_contains @ s_g017 @ s_GQ,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb356) ).
thf(1212,plain,
s_contains @ s_g017 @ s_GQ,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[605]) ).
thf(159,axiom,
s_partOf @ s_BN @ s_g035,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb492) ).
thf(763,plain,
s_partOf @ s_BN @ s_g035,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).
thf(295,axiom,
s_contains @ s_g015 @ s_SD,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb231) ).
thf(899,plain,
s_contains @ s_g015 @ s_SD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[295]) ).
thf(440,axiom,
s_contains @ s_g145 @ s_GE,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb164) ).
thf(1045,plain,
s_contains @ s_g145 @ s_GE,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[440]) ).
thf(228,axiom,
s_partOf @ s_PM @ s_g021,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb456) ).
thf(832,plain,
s_partOf @ s_PM @ s_g021,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[228]) ).
thf(80,axiom,
s_partOf @ s_PR @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb478) ).
thf(684,plain,
s_partOf @ s_PR @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(112,axiom,
s_partOf @ s_HK @ s_g030,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb485) ).
thf(716,plain,
s_partOf @ s_HK @ s_g030,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(555,axiom,
s_contains @ s_g419 @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb452) ).
thf(1161,plain,
s_contains @ s_g419 @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[555]) ).
thf(196,axiom,
s_partOf @ s_RS @ s_g039,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb517) ).
thf(800,plain,
s_partOf @ s_RS @ s_g039,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[196]) ).
thf(510,axiom,
s_contains @ s_g145 @ s_KW,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb168) ).
thf(1116,plain,
s_contains @ s_g145 @ s_KW,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[510]) ).
thf(527,axiom,
s_contains @ s_g039 @ s_ME,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb250) ).
thf(1133,plain,
s_contains @ s_g039 @ s_ME,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[527]) ).
thf(148,axiom,
s_partOf @ s_g053 @ s_g009,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb540) ).
thf(752,plain,
s_partOf @ s_g053 @ s_g009,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(214,axiom,
s_partOf @ s_TJ @ s_g172,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb196) ).
thf(818,plain,
s_partOf @ s_TJ @ s_g172,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[214]) ).
thf(250,axiom,
s_partOf @ s_g021 @ s_g003,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb415) ).
thf(854,plain,
s_partOf @ s_g021 @ s_g003,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[250]) ).
thf(542,axiom,
s_partOf @ s_g029 @ s_g019,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb416) ).
thf(1148,plain,
s_partOf @ s_g029 @ s_g019,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[542]) ).
thf(186,axiom,
s_partOf @ s_GA @ s_g017,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb366) ).
thf(790,plain,
s_partOf @ s_GA @ s_g017,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).
thf(263,axiom,
s_partOf @ s_LR @ s_g011,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb61) ).
thf(867,plain,
s_partOf @ s_LR @ s_g011,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[263]) ).
thf(261,axiom,
s_partOf @ s_NE @ s_g011,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb64) ).
thf(865,plain,
s_partOf @ s_NE @ s_g011,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[261]) ).
thf(131,axiom,
s_partOf @ s_FX @ s_g155,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb344) ).
thf(735,plain,
s_partOf @ s_FX @ s_g155,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(394,axiom,
s_contains @ s_g057 @ s_FM,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb555) ).
thf(999,plain,
s_contains @ s_g057 @ s_FM,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[394]) ).
thf(16,axiom,
s_partOf @ s_GN @ s_g011,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb59) ).
thf(620,plain,
s_partOf @ s_GN @ s_g011,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(229,axiom,
s_partOf @ s_MR @ s_g011,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb63) ).
thf(833,plain,
s_partOf @ s_MR @ s_g011,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[229]) ).
thf(363,axiom,
s_contains @ s_g150 @ s_g154,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb33) ).
thf(967,plain,
s_contains @ s_g150 @ s_g154,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[363]) ).
thf(346,axiom,
s_contains @ s_g017 @ s_ST,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb357) ).
thf(950,plain,
s_contains @ s_g017 @ s_ST,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[346]) ).
thf(492,axiom,
s_contains @ s_g155 @ s_LU,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb299) ).
thf(1097,plain,
s_contains @ s_g155 @ s_LU,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[492]) ).
thf(231,axiom,
s_partOf @ s_PS @ s_g145,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb218) ).
thf(835,plain,
s_partOf @ s_PS @ s_g145,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[231]) ).
thf(203,axiom,
s_partOf @ s_KG @ s_g172,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb198) ).
thf(807,plain,
s_partOf @ s_KG @ s_g172,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[203]) ).
thf(224,axiom,
s_partOf @ s_g009 @ s_g001,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb11) ).
thf(828,plain,
s_partOf @ s_g009 @ s_g001,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[224]) ).
thf(460,axiom,
s_contains @ s_g001 @ s_g009,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb1) ).
thf(1065,plain,
s_contains @ s_g001 @ s_g009,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[460]) ).
thf(92,axiom,
s_partOf @ s_GE @ s_g145,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb210) ).
thf(696,plain,
s_partOf @ s_GE @ s_g145,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(351,axiom,
s_contains @ s_g003 @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb448) ).
thf(955,plain,
s_contains @ s_g003 @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[351]) ).
thf(192,axiom,
s_partOf @ s_PN @ s_g061,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb585) ).
thf(796,plain,
s_partOf @ s_PN @ s_g061,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[192]) ).
thf(314,axiom,
s_contains @ s_g014 @ s_UG,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb104) ).
thf(918,plain,
s_contains @ s_g014 @ s_UG,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[314]) ).
thf(197,axiom,
s_partOf @ s_g151 @ s_g150,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb260) ).
thf(801,plain,
s_partOf @ s_g151 @ s_g150,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).
thf(566,axiom,
s_contains @ s_g017 @ s_CF,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb352) ).
thf(1172,plain,
s_contains @ s_g017 @ s_CF,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[566]) ).
thf(293,axiom,
s_partOf @ s_VI @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb483) ).
thf(897,plain,
s_partOf @ s_VI @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[293]) ).
thf(163,axiom,
s_partOf @ s_NU @ s_g061,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb583) ).
thf(767,plain,
s_partOf @ s_NU @ s_g061,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(451,axiom,
s_contains @ s_g142 @ s_g030,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb24) ).
thf(1056,plain,
s_contains @ s_g142 @ s_g030,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[451]) ).
thf(60,axiom,
s_partOf @ s_EH @ s_g015,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb236) ).
thf(664,plain,
s_partOf @ s_EH @ s_g015,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(428,axiom,
s_contains @ s_g029 @ s_VI,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb442) ).
thf(1033,plain,
s_contains @ s_g029 @ s_VI,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[428]) ).
thf(590,axiom,
s_contains @ s_g035 @ s_MM,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb142) ).
thf(1197,plain,
s_contains @ s_g035 @ s_MM,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[590]) ).
thf(356,axiom,
s_contains @ s_g151 @ s_RO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb267) ).
thf(960,plain,
s_contains @ s_g151 @ s_RO,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[356]) ).
thf(31,axiom,
s_partOf @ s_CF @ s_g017,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb363) ).
thf(635,plain,
s_partOf @ s_CF @ s_g017,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(116,axiom,
s_partOf @ s_LB @ s_g145,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb216) ).
thf(720,plain,
s_partOf @ s_LB @ s_g145,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(559,axiom,
s_contains @ s_g011 @ s_GM,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb40) ).
thf(1165,plain,
s_contains @ s_g011 @ s_GM,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[559]) ).
thf(282,axiom,
s_partOf @ s_ID @ s_g035,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb493) ).
thf(886,plain,
s_partOf @ s_ID @ s_g035,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[282]) ).
thf(324,axiom,
s_contains @ s_g154 @ s_GB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb281) ).
thf(928,plain,
s_contains @ s_g154 @ s_GB,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[324]) ).
thf(382,axiom,
s_contains @ s_g013 @ s_CR,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb71) ).
thf(987,plain,
s_contains @ s_g013 @ s_CR,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[382]) ).
thf(523,axiom,
s_contains @ s_g009 @ s_g053,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb12) ).
thf(1129,plain,
s_contains @ s_g009 @ s_g053,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[523]) ).
thf(546,axiom,
s_contains @ s_g145 @ s_SA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb173) ).
thf(1152,plain,
s_contains @ s_g145 @ s_SA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[546]) ).
thf(256,axiom,
s_partOf @ s_CD @ s_g017,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb361) ).
thf(860,plain,
s_partOf @ s_CD @ s_g017,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[256]) ).
thf(414,axiom,
s_contains @ s_g013 @ s_MX,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb74) ).
thf(1019,plain,
s_contains @ s_g013 @ s_MX,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[414]) ).
thf(40,axiom,
s_partOf @ s_BE @ s_g155,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb339) ).
thf(644,plain,
s_partOf @ s_BE @ s_g155,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(119,axiom,
s_partOf @ s_KH @ s_g035,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb494) ).
thf(723,plain,
s_partOf @ s_KH @ s_g035,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(218,axiom,
s_partOf @ s_SG @ s_g035,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb500) ).
thf(822,plain,
s_partOf @ s_SG @ s_g035,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[218]) ).
thf(246,axiom,
s_partOf @ s_UZ @ s_g143,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb201) ).
thf(850,plain,
s_partOf @ s_UZ @ s_g143,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[246]) ).
thf(87,axiom,
s_partOf @ s_BS @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb464) ).
thf(691,plain,
s_partOf @ s_BS @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(267,axiom,
s_partOf @ s_ZM @ s_g014,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb126) ).
thf(871,plain,
s_partOf @ s_ZM @ s_g014,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[267]) ).
thf(514,axiom,
s_contains @ s_g035 @ s_PH,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb145) ).
thf(1120,plain,
s_contains @ s_g035 @ s_PH,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[514]) ).
thf(3,axiom,
s_partOf @ s_IE @ s_g154,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb329) ).
thf(607,plain,
s_partOf @ s_IE @ s_g154,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(488,axiom,
s_contains @ s_g021 @ s_US,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb414) ).
thf(1093,plain,
s_contains @ s_g021 @ s_US,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[488]) ).
thf(20,axiom,
s_partOf @ s_SR @ s_g005,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb534) ).
thf(624,plain,
s_partOf @ s_SR @ s_g005,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(235,axiom,
s_partOf @ s_g002 @ s_g001,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb5) ).
thf(839,plain,
s_partOf @ s_g002 @ s_g001,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[235]) ).
thf(124,axiom,
s_partOf @ s_CS @ s_g039,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb516) ).
thf(728,plain,
s_partOf @ s_CS @ s_g039,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(136,axiom,
s_partOf @ s_BY @ s_g172,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb304) ).
thf(740,plain,
s_partOf @ s_BY @ s_g172,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(304,axiom,
s_contains @ s_g155 @ s_FX,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb297) ).
thf(908,plain,
s_contains @ s_g155 @ s_FX,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[304]) ).
thf(387,axiom,
s_contains @ s_g017 @ s_TD,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb358) ).
thf(992,plain,
s_contains @ s_g017 @ s_TD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[387]) ).
thf(378,axiom,
s_contains @ s_g013 @ s_NI,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb75) ).
thf(982,plain,
s_contains @ s_g013 @ s_NI,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[378]) ).
thf(399,axiom,
s_contains @ s_g151 @ s_UA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb271) ).
thf(1004,plain,
s_contains @ s_g151 @ s_UA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[399]) ).
thf(199,axiom,
s_partOf @ s_MA @ s_g015,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb238) ).
thf(803,plain,
s_partOf @ s_MA @ s_g015,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[199]) ).
thf(336,axiom,
s_contains @ s_g029 @ s_BS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb423) ).
thf(940,plain,
s_contains @ s_g029 @ s_BS,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[336]) ).
thf(319,axiom,
s_contains @ s_g029 @ s_GP,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb428) ).
thf(923,plain,
s_contains @ s_g029 @ s_GP,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[319]) ).
thf(577,axiom,
s_contains @ s_g017 @ s_CG,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb353) ).
thf(1184,plain,
s_contains @ s_g017 @ s_CG,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[577]) ).
thf(55,axiom,
s_partOf @ s_LU @ s_g155,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb346) ).
thf(659,plain,
s_partOf @ s_LU @ s_g155,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(35,axiom,
s_partOf @ s_UZ @ s_g172,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb202) ).
thf(639,plain,
s_partOf @ s_UZ @ s_g172,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(483,axiom,
s_contains @ s_g151 @ s_SU,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb269) ).
thf(1088,plain,
s_contains @ s_g151 @ s_SU,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[483]) ).
thf(597,axiom,
s_contains @ s_g014 @ s_TZ,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb103) ).
thf(1204,plain,
s_contains @ s_g014 @ s_TZ,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[597]) ).
thf(464,axiom,
s_contains @ s_g172 @ s_MD,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb376) ).
thf(1069,plain,
s_contains @ s_g172 @ s_MD,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[464]) ).
thf(104,axiom,
s_partOf @ s_g014 @ s_g002,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb108) ).
thf(708,plain,
s_partOf @ s_g014 @ s_g002,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(278,axiom,
s_partOf @ s_YT @ s_g014,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb125) ).
thf(882,plain,
s_partOf @ s_YT @ s_g014,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[278]) ).
thf(331,axiom,
s_contains @ s_g154 @ s_JE,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb275) ).
thf(935,plain,
s_contains @ s_g154 @ s_JE,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[331]) ).
thf(404,axiom,
s_contains @ s_g017 @ s_GA,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb355) ).
thf(1009,plain,
s_contains @ s_g017 @ s_GA,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[404]) ).
thf(432,axiom,
s_contains @ s_g062 @ s_g143,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb192) ).
thf(1037,plain,
s_contains @ s_g062 @ s_g143,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[432]) ).
thf(171,axiom,
s_partOf @ s_MO @ s_g030,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb490) ).
thf(775,plain,
s_partOf @ s_MO @ s_g030,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).
thf(151,axiom,
s_partOf @ s_LT @ s_g154,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb331) ).
thf(755,plain,
s_partOf @ s_LT @ s_g154,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(72,axiom,
s_partOf @ s_LC @ s_g029,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb474) ).
thf(676,plain,
s_partOf @ s_LC @ s_g029,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(409,axiom,
s_contains @ s_g029 @ s_TT,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb439) ).
thf(1014,plain,
s_contains @ s_g029 @ s_TT,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[409]) ).
thf(368,axiom,
s_contains @ s_g154 @ s_SJ,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb289) ).
thf(972,plain,
s_contains @ s_g154 @ s_SJ,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[368]) ).
thf(1213,plain,
$false,
inference(e,[status(thm)],[1036,809,629,1024,1190,1105,846,893,941,1179,777,666,1110,645,892,1168,760,909,628,1031,1083,962,1200,977,1211,1005,683,730,1068,994,1142,1173,1158,762,741,1073,873,1205,878,655,614,677,1041,861,1078,1137,715,814,698,945,1063,930,670,1164,797,747,913,1196,898,1001,1127,782,709,841,651,829,1095,973,885,1046,719,785,802,949,1055,724,619,838,917,702,751,934,1191,1059,1132,1087,1147,870,881,1115,1100,817,902,638,853,969,606,1013,770,924,756,789,623,646,1020,806,966,1183,905,1040,1109,1136,834,1151,937,1051,821,634,734,956,866,1072,660,998,988,1201,981,766,1169,687,877,692,1119,774,1104,849,1074,1206,920,942,678,661,793,925,1199,810,1067,714,1153,761,1047,798,1057,1163,910,825,1174,820,788,815,729,957,894,746,1091,1021,778,1042,952,1123,862,693,630,916,847,1032,625,879,852,1178,665,830,889,1159,1210,757,1128,710,842,974,1012,1079,1027,682,1195,742,1017,615,1121,1064,1111,725,980,1096,1006,1138,869,610,989,857,697,1089,874,1143,650,948,783,1118,884,1160,933,753,1182,669,642,637,1155,706,1028,1082,901,686,1075,1016,1207,679,1039,970,1114,701,1150,738,1192,911,721,1002,779,622,837,647,997,1099,985,1131,654,1060,1050,633,805,921,657,1170,1035,1071,926,1202,792,1086,938,765,1054,1187,674,1026,1167,953,1185,773,794,662,718,888,906,1135,618,1146,1103,824,856,745,689,733,965,750,1154,819,732,772,743,958,1124,904,975,1007,694,843,1125,875,826,711,641,1139,936,713,1092,1090,704,947,672,611,787,1058,1107,919,804,1194,1209,900,831,681,1011,1144,737,764,979,784,1117,1048,736,990,996,880,649,1043,616,1122,863,1175,890,811,1080,631,758,858,816,609,621,769,668,1112,799,1162,726,848,700,1029,895,1149,964,626,915,943,1022,932,1061,983,1198,959,780,883,1015,986,1113,1000,653,922,658,912,685,1171,768,827,695,636,1044,1066,868,1176,608,851,1102,1076,722,1034,675,1166,944,663,927,812,617,939,754,836,1049,1203,1208,795,680,1134,648,1081,749,1145,1018,968,1181,823,776,855,690,640,1025,707,887,971,954,739,1098,993,712,1003,1070,872,705,1156,1053,673,791,1038,717,840,1085,1130,643,907,1188,1186,951,808,744,703,1141,613,1052,864,727,1008,612,876,859,991,656,1023,1094,978,1140,845,627,1084,1180,931,671,1157,759,891,1126,1189,1010,844,771,1108,976,688,903,699,963,1062,652,632,781,995,961,813,896,748,946,1101,731,786,1030,914,667,929,1193,1077,1212,763,899,1045,832,684,716,1161,800,1116,1133,752,818,854,1148,790,867,865,735,999,620,833,967,950,1097,835,807,828,1065,696,955,796,918,801,1172,897,767,1056,664,1033,1197,960,635,720,1165,886,928,987,1129,1152,860,1019,644,723,822,850,691,871,1120,607,1093,624,839,728,740,908,992,982,1004,803,940,923,1184,659,639,1088,1204,1069,708,882,935,1009,1037,775,755,676,1014,972]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : MSC019+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11 % Command : run_Leo-III %s %d
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu May 18 15:18:05 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.73/0.68 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.23/0.85 % [INFO] Parsing done (169ms).
% 1.23/0.86 % [INFO] Running in sequential loop mode.
% 1.45/1.04 % [INFO] eprover registered as external prover.
% 1.45/1.04 % [INFO] cvc4 registered as external prover.
% 1.45/1.05 % [INFO] Scanning for conjecture ...
% 1.70/1.12 % [INFO] Found a conjecture and 603 axioms. Running axiom selection ...
% 2.19/1.24 % [INFO] Axiom selection finished. Selected 603 axioms (removed 0 axioms).
% 2.37/1.33 % [INFO] Problem is first-order (TPTP FOF).
% 2.58/1.34 % [INFO] Type checking passed.
% 2.58/1.34 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 5.55/2.25 % External prover 'e' found a proof!
% 5.55/2.25 % [INFO] Killing All external provers ...
% 5.55/2.25 % Time passed: 1835ms (effective reasoning time: 1387ms)
% 5.55/2.25 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 5.91/2.25 % Axioms used in derivation (603): kb204, kb124, kb350, kb564, kb598, kb193, kb150, kb26, kb363, kb284, kb70, kb134, kb113, kb251, kb553, kb207, kb236, kb153, kb323, kb412, kb333, kb164, kb338, kb129, kb344, kb243, kb571, kb7, kb37, kb535, kb312, kb352, kb392, kb576, kb145, kb402, kb391, kb361, kb105, kb366, kb445, kb262, kb44, kb582, kb273, kb161, kb587, kb417, kb434, kb300, kb543, kb594, kb127, kb182, kb62, kb98, kb568, kb423, kb509, kb380, kb73, kb290, kb557, kb232, kb51, kb496, kb167, kb3, kb156, kb441, kb210, kb116, kb531, kb489, kb87, kb171, kb478, kb430, kb40, kb95, kb131, kb221, kb546, kb493, kb406, kb355, kb532, kb306, kb279, kb457, kb439, kb264, kb468, kb15, kb177, kb506, kb420, kb398, kb188, kb294, kb536, kb47, kb54, kb500, kb199, kb499, kb593, kb229, kb2, kb253, kb32, kb142, kb8, kb84, kb21, kb102, kb214, kb225, kb359, kb69, kb65, kb475, kb337, kb387, kb58, kb309, kb481, kb218, kb200, kb517, kb349, kb511, kb275, kb247, kb10, kb268, kb348, kb464, kb280, axiom2, kb297, kb92, kb428, kb547, kb409, kb470, kb76, kb522, kb327, kb583, kb376, kb257, kb453, kb572, kb479, kb317, kb286, kb486, kb81, kb558, kb528, kb362, kb304, kb14, kb231, kb373, kb208, kb203, kb123, kb94, kb460, kb61, kb343, kb283, kb390, kb492, kb403, kb497, kb444, kb563, kb310, kb534, kb384, kb276, kb163, kb405, kb174, kb433, kb72, kb112, kb552, kb242, kb466, kb351, kb332, kb527, kb185, kb545, kb418, kb135, kb152, kb83, kb429, kb326, kb488, kb5, kb354, kb578, kb50, kb168, kb440, kb530, kb459, kb340, kb192, kb272, kb19, kb130, kb220, kb567, kb43, kb411, kb157, kb556, kb477, kb250, kb365, kb261, kb422, kb170, kb141, kb36, kb6, kb315, kb25, kb541, kb395, kb146, kb101, kb471, kb181, kb219, kb358, kb505, kb196, kb579, kb118, kb452, kb224, kb575, kb254, kb537, kb542, kb548, kb485, kb213, kb399, kb265, kb293, kb482, kb369, kb474, kb311, kb559, kb160, kb456, kb560, kb388, kb59, kb463, kb328, kb22, kb377, kb448, kb235, kb287, kb339, kb597, kb120, kb374, kb408, kb240, kb11, kb138, kb347, kb258, kb33, kb385, kb9, kb516, kb246, kb269, kb189, kb586, kb467, kb107, kb396, kb178, kb48, axiom1, kb322, kb149, kb336, kb93, kb461, kb383, kb540, kb271, kb223, kb436, kb82, kb325, kb1, kb443, kb100, kb216, kb378, kb404, kb303, kb202, kb126, kb191, kb180, kb389, kb60, kb13, kb282, kb538, kb519, kb245, kb508, kb292, kb372, kb111, kb551, kb209, kb450, kb234, kb498, kb29, kb35, kb97, kb314, kb394, kb520, kb18, kb526, kb89, kb173, kb104, kb491, kb288, kb212, kb260, kb472, kb143, kb4, kb400, kb447, kb86, kb515, kb122, kb562, kb414, kb318, kb425, kb483, kb132, kb238, kb277, kb249, kb184, kb24, kb53, kb78, kb147, kb589, kb23, kb30, kb259, kb574, kb512, kb415, kb523, kb484, kb42, kb158, kb67, kb473, kb451, kb136, kb75, kb386, kb169, kb426, kb346, kb331, kb585, kb371, kb154, kb549, kb368, kb119, kb90, kb397, kb298, kb34, kb357, kb321, kb255, kb227, kb108, kb335, kb596, kb375, kb139, kb64, kb449, kb230, kb307, kb71, kb590, kb165, kb115, kb504, kb195, kb455, kb241, kb266, kb12, kb462, kb501, kb49, kb179, kb296, kb437, kb555, kb63, kb256, kb539, kb110, kb550, kb244, kb431, kb186, kb324, kb206, kb581, kb211, kb313, kb393, kb140, kb364, kb588, kb39, kb291, kb263, kb45, kb0, kb38, kb518, kb529, kb353, kb285, kb308, kb28, kb121, kb205, kb442, kb151, kb577, kb222, kb502, kb379, kb566, kb99, kb166, kb233, kb503, kb561, kb599, kb274, kb175, kb56, kb190, kb74, kb416, kb252, kb248, kb117, kb525, kb319, kb183, kb490, kb424, kb144, kb197, kb407, kb133, kb435, kb360, kb533, kb320, kb514, kb329, kb544, kb103, kb128, kb401, kb106, kb52, kb446, kb495, kb342, kb17, kb41, kb278, kb382, kb494, kb88, kb162, kb302, kb507, kb237, kb289, kb595, kb413, kb137, kb172, kb79, kb85, kb427, axiom3, kb524, kb66, kb305, kb476, kb239, kb228, kb469, kb187, kb569, kb299, kb31, kb77, kb330, kb370, kb148, kb513, kb16, kb580, kb341, kb381, kb68, kb410, kb198, kb301, kb421, kb458, kb592, kb521, kb591, kb20, kb159, kb96, kb480, kb176, kb295, kb367, kb114, kb570, kb487, kb201, kb91, kb419, kb334, kb432, kb109, kb584, kb573, kb46, kb316, kb438, kb554, kb215, kb27, kb267, kb454, kb55, kb217, kb356, kb281, kb155, kb565, kb270, kb345, kb465, kb510, kb125, kb80, kb194, kb57, kb226
% 5.91/2.25 % No. of inferences in proof: 1210
% 5.91/2.25 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1835 ms resp. 1387 ms w/o parsing
% 6.11/2.34 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.33/2.34 % [INFO] Killing All external provers ...
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