TSTP Solution File: ITP020^3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP020^3 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 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 : Sun May 5 06:48:36 EDT 2024
% Result : Theorem 0.13s 0.31s
% Output : Refutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : ITP020^3 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.09/0.09 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Fri May 3 18:58:22 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.09/0.28 This is a TH1_THM_EQU_NAR problem
% 0.09/0.29 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.tckgtBgvmV/Vampire---4.8_16341
% 0.09/0.30 % (16449)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (2999ds/183Mi)
% 0.09/0.30 % (16451)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on Vampire---4 for (2999ds/27Mi)
% 0.09/0.30 % (16456)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (2999ds/3Mi)
% 0.09/0.30 % (16452)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.09/0.30 % (16453)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (2999ds/2Mi)
% 0.09/0.30 % (16450)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (2999ds/4Mi)
% 0.09/0.30 % (16454)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (2999ds/275Mi)
% 0.09/0.30 % (16452)Instruction limit reached!
% 0.09/0.30 % (16452)------------------------------
% 0.09/0.30 % (16452)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.09/0.30 % (16452)Termination reason: Unknown
% 0.09/0.30 % (16452)Termination phase: shuffling
% 0.09/0.30
% 0.09/0.30 % (16452)Memory used [KB]: 1023
% 0.09/0.30 % (16452)Time elapsed: 0.002 s
% 0.09/0.30 % (16452)Instructions burned: 2 (million)
% 0.09/0.30 % (16452)------------------------------
% 0.09/0.30 % (16452)------------------------------
% 0.09/0.30 % (16455)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (2999ds/18Mi)
% 0.09/0.30 % (16453)Instruction limit reached!
% 0.09/0.30 % (16453)------------------------------
% 0.09/0.30 % (16453)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.09/0.30 % (16453)Termination reason: Unknown
% 0.09/0.30 % (16453)Termination phase: shuffling
% 0.09/0.30
% 0.09/0.30 % (16453)Memory used [KB]: 1023
% 0.09/0.30 % (16453)Time elapsed: 0.003 s
% 0.09/0.30 % (16453)Instructions burned: 3 (million)
% 0.09/0.30 % (16453)------------------------------
% 0.09/0.30 % (16453)------------------------------
% 0.09/0.30 % (16456)Instruction limit reached!
% 0.09/0.30 % (16456)------------------------------
% 0.09/0.30 % (16456)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.09/0.30 % (16456)Termination reason: Unknown
% 0.09/0.30 % (16456)Termination phase: Preprocessing 3
% 0.09/0.30
% 0.09/0.30 % (16450)Instruction limit reached!
% 0.09/0.30 % (16450)------------------------------
% 0.09/0.30 % (16450)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.09/0.30 % (16450)Termination reason: Unknown
% 0.09/0.30 % (16450)Termination phase: shuffling
% 0.09/0.30
% 0.09/0.30 % (16450)Memory used [KB]: 1023
% 0.09/0.30 % (16450)Time elapsed: 0.003 s
% 0.09/0.30 % (16450)Instructions burned: 4 (million)
% 0.09/0.30 % (16450)------------------------------
% 0.09/0.30 % (16450)------------------------------
% 0.09/0.30 % (16456)Memory used [KB]: 1023
% 0.09/0.30 % (16456)Time elapsed: 0.004 s
% 0.09/0.30 % (16456)Instructions burned: 4 (million)
% 0.09/0.30 % (16456)------------------------------
% 0.09/0.30 % (16456)------------------------------
% 0.13/0.31 % (16454)First to succeed.
% 0.13/0.31 % (16454)Refutation found. Thanks to Tanya!
% 0.13/0.31 % SZS status Theorem for Vampire---4
% 0.13/0.31 % SZS output start Proof for Vampire---4
% 0.13/0.31 thf(type_def_6, type, tyop_2Epair_2Eprod: ($tType * $tType) > $tType).
% 0.13/0.31 thf(type_def_7, type, tyop_2Enum_2Enum: $tType).
% 0.13/0.31 thf(func_def_0, type, tyop_2Emin_2Ebool: $tType).
% 0.13/0.31 thf(func_def_1, type, tyop_2Emin_2Efun: ($tType * $tType) > $tType).
% 0.13/0.31 thf(func_def_2, type, tyop_2Enum_2Enum: $tType).
% 0.13/0.31 thf(func_def_3, type, tyop_2Epair_2Eprod: ($tType * $tType) > $tType).
% 0.13/0.31 thf(func_def_4, type, c_2Ebool_2E_21: !>[X0: $tType]:((X0 > $o) > $o)).
% 0.13/0.31 thf(func_def_5, type, c_2Ebool_2E_2F_5C: $o > $o > $o).
% 0.13/0.31 thf(func_def_6, type, c_2Emin_2E_3D: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.13/0.31 thf(func_def_7, type, c_2Emin_2E_3D_3D_3E: $o > $o > $o).
% 0.13/0.31 thf(func_def_8, type, c_2Ebool_2E_3F: !>[X0: $tType]:((X0 > $o) > $o)).
% 0.13/0.31 thf(func_def_9, type, c_2Epred__set_2EBIJ: !>[X0: $tType, X1: $tType]:((X0 > X1) > (X0 > $o) > (X1 > $o) > $o)).
% 0.13/0.31 thf(func_def_10, type, c_2Epred__set_2ECROSS: !>[X0: $tType, X1: $tType]:((X0 > $o) > (X1 > $o) > tyop_2Epair_2Eprod @ X0 @ X1 > $o)).
% 0.13/0.31 thf(func_def_13, type, c_2Epred__set_2EUNIV: !>[X0: $tType]:(X0 > $o)).
% 0.13/0.31 thf(func_def_14, type, c_2Ebool_2E_5C_2F: $o > $o > $o).
% 0.13/0.31 thf(func_def_15, type, c_2Ebool_2E_7E: $o > $o).
% 0.13/0.31 thf(func_def_24, type, sK0: tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum > tyop_2Enum_2Enum).
% 0.13/0.31 thf(func_def_25, type, sK1: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.13/0.31 thf(func_def_26, type, sK2: !>[X0: $tType]:($o > (X0 > $o) > X0)).
% 0.13/0.31 thf(func_def_27, type, sK3: !>[X0: $tType, X1: $tType]:((X1 > $o) > (X0 > $o) > X1 > X0)).
% 0.13/0.31 thf(func_def_28, type, sK4: !>[X0: $tType, X1: $tType]:((X1 > $o) > (X0 > $o) > X0 > X1)).
% 0.13/0.31 thf(func_def_29, type, sK5: !>[X0: $tType]:($o > (X0 > $o) > X0)).
% 0.13/0.31 thf(func_def_30, type, sK6: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.13/0.31 thf(func_def_31, type, sK7: !>[X0: $tType, X1: $tType]:(X0 > (X0 > X1 > $o) > X1)).
% 0.13/0.31 thf(func_def_32, type, sK8: !>[X0: $tType, X1: $tType]:((X0 > X1) > (X0 > X1 > $o) > X0)).
% 0.13/0.31 thf(func_def_33, type, sK9: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > X0 > X1)).
% 0.13/0.31 thf(func_def_34, type, sK10: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o) > X0)).
% 0.13/0.31 thf(func_def_35, type, sK11: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.13/0.31 thf(func_def_36, type, sK12: !>[X0: $tType]:((X0 > $o) > $o > X0)).
% 0.13/0.31 thf(func_def_37, type, sK13: !>[X0: $tType]:((X0 > $o) > $o > X0)).
% 0.13/0.31 thf(func_def_38, type, sK14: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.13/0.31 thf(func_def_39, type, sK15: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.13/0.31 thf(func_def_40, type, sK16: !>[X0: $tType]:((X0 > $o) > $o > X0)).
% 0.13/0.31 thf(func_def_41, type, sK17: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.13/0.31 thf(func_def_42, type, sK18: !>[X0: $tType]:((X0 > $o) > $o > X0)).
% 0.13/0.31 thf(func_def_43, type, sK19: !>[X0: $tType]:((X0 > $o) > $o > X0)).
% 0.13/0.31 thf(func_def_44, type, sK20: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.13/0.31 thf(func_def_45, type, sK21: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.13/0.31 thf(func_def_46, type, sK22: !>[X0: $tType]:($o > (X0 > $o) > X0)).
% 0.13/0.31 thf(func_def_48, type, ph24: !>[X0: $tType]:(X0)).
% 0.13/0.31 thf(f296,plain,(
% 0.13/0.31 $false),
% 0.13/0.31 inference(trivial_inequality_removal,[],[f286])).
% 0.13/0.31 thf(f286,plain,(
% 0.13/0.31 ($true != $true)),
% 0.13/0.31 inference(superposition,[],[f277,f191])).
% 0.13/0.31 thf(f191,plain,(
% 0.13/0.31 ($true = (c_2Epred__set_2EBIJ @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ sK0 @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum) @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum))),
% 0.13/0.31 inference(cnf_transformation,[],[f123])).
% 0.13/0.31 thf(f123,plain,(
% 0.13/0.31 ($true = (c_2Epred__set_2EBIJ @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ sK0 @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum) @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum))),
% 0.13/0.31 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f45,f122])).
% 0.13/0.31 thf(f122,plain,(
% 0.13/0.31 ? [X0 : tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum > tyop_2Enum_2Enum] : ((c_2Epred__set_2EBIJ @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ X0 @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum) @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum) = $true) => ($true = (c_2Epred__set_2EBIJ @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ sK0 @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum) @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum))),
% 0.13/0.31 introduced(choice_axiom,[])).
% 0.13/0.31 thf(f45,plain,(
% 0.13/0.31 ? [X0 : tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum > tyop_2Enum_2Enum] : ((c_2Epred__set_2EBIJ @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ X0 @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum) @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum) = $true)),
% 0.13/0.31 inference(fool_elimination,[],[f44])).
% 0.13/0.31 thf(f44,plain,(
% 0.13/0.31 ? [X0 : tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum > tyop_2Enum_2Enum] : (c_2Epred__set_2EBIJ @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ X0 @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum) @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum)),
% 0.13/0.31 inference(rectify,[],[f38])).
% 0.13/0.31 thf(f38,axiom,(
% 0.13/0.31 ? [X4 : tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum > tyop_2Enum_2Enum] : (c_2Epred__set_2EBIJ @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ X4 @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum) @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum)),
% 0.13/0.31 file('/export/starexec/sandbox2/tmp/tmp.tckgtBgvmV/Vampire---4.8_16341',thm_2Eutil__prob_2ENUM__2D__BIJ)).
% 0.13/0.31 thf(f277,plain,(
% 0.13/0.31 ( ! [X0 : tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum > tyop_2Enum_2Enum] : (((c_2Epred__set_2EBIJ @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ X0 @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum) @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum) != $true)) )),
% 0.13/0.31 inference(trivial_inequality_removal,[],[f270])).
% 0.13/0.31 thf(f270,plain,(
% 0.13/0.31 ( ! [X0 : tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum > tyop_2Enum_2Enum] : (((c_2Epred__set_2EBIJ @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ X0 @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum) @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum) != $true) | ($true != $true)) )),
% 0.13/0.31 inference(superposition,[],[f208,f198])).
% 0.13/0.31 thf(f198,plain,(
% 0.13/0.31 ( ! [X1 : $tType,X0 : $tType,X2 : X0 > $o,X3 : X1 > $o,X7 : X1 > X0] : (($true = (c_2Epred__set_2EBIJ @ X0 @ X1 @ (sK4 @ X0 @ X1 @ X3 @ X2) @ X2 @ X3)) | ((c_2Epred__set_2EBIJ @ X1 @ X0 @ X7 @ X3 @ X2) != $true)) )),
% 0.13/0.31 inference(cnf_transformation,[],[f135])).
% 0.13/0.31 thf(f135,plain,(
% 0.13/0.31 ! [X0 : $tType,X1 : $tType,X2 : X0 > $o,X3 : X1 > $o] : ((($true = (c_2Epred__set_2EBIJ @ X1 @ X0 @ (sK3 @ X0 @ X1 @ X3 @ X2) @ X3 @ X2)) | ! [X5 : X0 > X1] : ((c_2Epred__set_2EBIJ @ X0 @ X1 @ X5 @ X2 @ X3) != $true)) & (($true = (c_2Epred__set_2EBIJ @ X0 @ X1 @ (sK4 @ X0 @ X1 @ X3 @ X2) @ X2 @ X3)) | ! [X7 : X1 > X0] : ((c_2Epred__set_2EBIJ @ X1 @ X0 @ X7 @ X3 @ X2) != $true)))),
% 0.13/0.31 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f132,f134,f133])).
% 0.13/0.31 thf(f133,plain,(
% 0.13/0.31 ! [X1 : $tType,X0 : $tType,X2 : X0 > $o,X3 : X1 > $o] : (? [X4 : X1 > X0] : ((c_2Epred__set_2EBIJ @ X1 @ X0 @ X4 @ X3 @ X2) = $true) => ($true = (c_2Epred__set_2EBIJ @ X1 @ X0 @ (sK3 @ X0 @ X1 @ X3 @ X2) @ X3 @ X2)))),
% 0.13/0.31 introduced(choice_axiom,[])).
% 0.13/0.31 thf(f134,plain,(
% 0.13/0.31 ! [X1 : $tType,X0 : $tType,X2 : X0 > $o,X3 : X1 > $o] : (? [X6 : X0 > X1] : ((c_2Epred__set_2EBIJ @ X0 @ X1 @ X6 @ X2 @ X3) = $true) => ($true = (c_2Epred__set_2EBIJ @ X0 @ X1 @ (sK4 @ X0 @ X1 @ X3 @ X2) @ X2 @ X3)))),
% 0.13/0.31 introduced(choice_axiom,[])).
% 0.13/0.31 thf(f132,plain,(
% 0.13/0.31 ! [X0 : $tType,X1 : $tType,X2 : X0 > $o,X3 : X1 > $o] : ((? [X4 : X1 > X0] : ((c_2Epred__set_2EBIJ @ X1 @ X0 @ X4 @ X3 @ X2) = $true) | ! [X5 : X0 > X1] : ((c_2Epred__set_2EBIJ @ X0 @ X1 @ X5 @ X2 @ X3) != $true)) & (? [X6 : X0 > X1] : ((c_2Epred__set_2EBIJ @ X0 @ X1 @ X6 @ X2 @ X3) = $true) | ! [X7 : X1 > X0] : ((c_2Epred__set_2EBIJ @ X1 @ X0 @ X7 @ X3 @ X2) != $true)))),
% 0.13/0.31 inference(rectify,[],[f131])).
% 0.13/0.31 thf(f131,plain,(
% 0.13/0.31 ! [X0 : $tType,X1 : $tType,X2 : X0 > $o,X3 : X1 > $o] : ((? [X4 : X1 > X0] : ((c_2Epred__set_2EBIJ @ X1 @ X0 @ X4 @ X3 @ X2) = $true) | ! [X5 : X0 > X1] : ((c_2Epred__set_2EBIJ @ X0 @ X1 @ X5 @ X2 @ X3) != $true)) & (? [X5 : X0 > X1] : ((c_2Epred__set_2EBIJ @ X0 @ X1 @ X5 @ X2 @ X3) = $true) | ! [X4 : X1 > X0] : ((c_2Epred__set_2EBIJ @ X1 @ X0 @ X4 @ X3 @ X2) != $true)))),
% 0.13/0.31 inference(nnf_transformation,[],[f109])).
% 0.13/0.31 thf(f109,plain,(
% 0.13/0.31 ! [X0 : $tType,X1 : $tType,X2 : X0 > $o,X3 : X1 > $o] : (? [X4 : X1 > X0] : ((c_2Epred__set_2EBIJ @ X1 @ X0 @ X4 @ X3 @ X2) = $true) <=> ? [X5 : X0 > X1] : ((c_2Epred__set_2EBIJ @ X0 @ X1 @ X5 @ X2 @ X3) = $true))),
% 0.13/0.31 inference(fool_elimination,[],[f108])).
% 0.13/0.31 thf(f108,plain,(
% 0.13/0.31 ! [X0 : $tType,X1 : $tType,X2 : X0 > $o,X3 : X1 > $o] : (? [X4 : X1 > X0] : (c_2Epred__set_2EBIJ @ X1 @ X0 @ X4 @ X3 @ X2) <=> ? [X5 : X0 > X1] : (c_2Epred__set_2EBIJ @ X0 @ X1 @ X5 @ X2 @ X3))),
% 0.13/0.31 inference(rectify,[],[f27])).
% 0.13/0.31 thf(f27,axiom,(
% 0.13/0.31 ! [X0 : $tType,X1 : $tType,X22 : X0 > $o,X23 : X1 > $o] : (? [X25 : X1 > X0] : (c_2Epred__set_2EBIJ @ X1 @ X0 @ X25 @ X23 @ X22) <=> ? [X24 : X0 > X1] : (c_2Epred__set_2EBIJ @ X0 @ X1 @ X24 @ X22 @ X23))),
% 0.13/0.31 file('/export/starexec/sandbox2/tmp/tmp.tckgtBgvmV/Vampire---4.8_16341',thm_2Epred__set_2EBIJ__SYM)).
% 0.13/0.31 thf(f208,plain,(
% 0.13/0.31 ( ! [X0 : tyop_2Enum_2Enum > tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum] : (((c_2Epred__set_2EBIJ @ tyop_2Enum_2Enum @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ X0 @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum)) != $true)) )),
% 0.13/0.31 inference(cnf_transformation,[],[f121])).
% 0.13/0.31 thf(f121,plain,(
% 0.13/0.31 ! [X0 : tyop_2Enum_2Enum > tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum] : ((c_2Epred__set_2EBIJ @ tyop_2Enum_2Enum @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ X0 @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum)) != $true)),
% 0.13/0.31 inference(ennf_transformation,[],[f69])).
% 0.13/0.31 thf(f69,plain,(
% 0.13/0.31 ~? [X0 : tyop_2Enum_2Enum > tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum] : ((c_2Epred__set_2EBIJ @ tyop_2Enum_2Enum @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ X0 @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum)) = $true)),
% 0.13/0.31 inference(fool_elimination,[],[f68])).
% 0.13/0.31 thf(f68,plain,(
% 0.13/0.31 ~? [X0 : tyop_2Enum_2Enum > tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum] : (c_2Epred__set_2EBIJ @ tyop_2Enum_2Enum @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ X0 @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum))),
% 0.13/0.31 inference(rectify,[],[f40])).
% 0.13/0.31 thf(f40,negated_conjecture,(
% 0.13/0.31 ~? [X4 : tyop_2Enum_2Enum > tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum] : (c_2Epred__set_2EBIJ @ tyop_2Enum_2Enum @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ X4 @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum))),
% 0.13/0.31 inference(negated_conjecture,[],[f39])).
% 0.13/0.31 thf(f39,conjecture,(
% 0.13/0.31 ? [X4 : tyop_2Enum_2Enum > tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum] : (c_2Epred__set_2EBIJ @ tyop_2Enum_2Enum @ tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ X4 @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ (c_2Epred__set_2ECROSS @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum @ c_2Epred__set_2EUNIV @ tyop_2Enum_2Enum))),
% 0.13/0.31 file('/export/starexec/sandbox2/tmp/tmp.tckgtBgvmV/Vampire---4.8_16341',thm_2Eutil__prob_2ENUM__2D__BIJ__INV)).
% 0.13/0.31 % SZS output end Proof for Vampire---4
% 0.13/0.31 % (16454)------------------------------
% 0.13/0.31 % (16454)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.13/0.31 % (16454)Termination reason: Refutation
% 0.13/0.31
% 0.13/0.31 % (16454)Memory used [KB]: 5756
% 0.13/0.31 % (16454)Time elapsed: 0.009 s
% 0.13/0.31 % (16454)Instructions burned: 10 (million)
% 0.13/0.31 % (16454)------------------------------
% 0.13/0.31 % (16454)------------------------------
% 0.13/0.31 % (16448)Success in time 0.01 s
% 0.13/0.31 % Vampire---4.8 exiting
%------------------------------------------------------------------------------