0.11/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.11 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.11/0.32 % Computer : n018.cluster.edu 0.11/0.32 % Model : x86_64 x86_64 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.32 % Memory : 8042.1875MB 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 0.11/0.32 % CPULimit : 1920 0.11/0.32 % WCLimit : 240 0.11/0.32 % DateTime : Wed Jul 30 07:10:04 EDT 2025 0.11/0.32 % CPUTime : 0.18/0.47 Running higher-order theorem proving 0.18/0.49 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=240 /export/starexec/sandbox2/tmp/tmp.79qvLGdtyy/E---3.1_24301.p 0.18/0.52 # Version: 3.0.0-ho 0.18/0.52 # Preprocessing class: HSLSSLSMSSSNSFA. 0.18/0.52 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.18/0.52 # Starting additional_ho_4 with 1200s (5) cores 0.18/0.52 # Starting pre_casc_8 with 240s (1) cores 0.18/0.52 # Starting pre_casc_5 with 240s (1) cores 0.18/0.52 # Starting pre_casc_6 with 240s (1) cores 0.18/0.52 # additional_ho_4 with pid 24429 completed with status 0 0.18/0.52 # Result found by additional_ho_4 0.18/0.52 # Preprocessing class: HSLSSLSMSSSNSFA. 0.18/0.52 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.18/0.52 # Starting additional_ho_4 with 1200s (5) cores 0.18/0.52 # SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0) 0.18/0.52 # Search class: HGHSF-FFMF33-DSFFFFNN 0.18/0.52 # partial match(4): FGHSF-FFMF31-SFFFFFNN 0.18/0.52 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 0.18/0.52 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 605s (1) cores 0.18/0.52 # Starting additional_ho_4 with 121s (1) cores 0.18/0.52 # Starting new_bool_3 with 130s (1) cores 0.18/0.52 # Starting new_bool_1 with 126s (1) cores 0.18/0.52 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 109s (1) cores 0.18/0.52 # additional_ho_4 with pid 24439 completed with status 0 0.18/0.52 # Result found by additional_ho_4 0.18/0.52 # Preprocessing class: HSLSSLSMSSSNSFA. 0.18/0.52 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 0.18/0.52 # Starting additional_ho_4 with 1200s (5) cores 0.18/0.52 # SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0) 0.18/0.52 # Search class: HGHSF-FFMF33-DSFFFFNN 0.18/0.52 # partial match(4): FGHSF-FFMF31-SFFFFFNN 0.18/0.52 # Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total) 0.18/0.52 # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S2U with 605s (1) cores 0.18/0.52 # Starting additional_ho_4 with 121s (1) cores 0.18/0.52 # Preprocessing time : 0.005 s 0.18/0.52 # Presaturation interreduction done 0.18/0.52 0.18/0.52 # Proof found! 0.18/0.52 # SZS status Theorem 0.18/0.52 # SZS output start CNFRefutation 0.18/0.52 thf(decl_sort1, type, d: $tType). 0.18/0.52 thf(decl_sort2, type, u: $tType). 0.18/0.52 thf(decl_sort3, type, du: $tType). 0.18/0.52 thf(decl_23, type, tyop_2Emin_2Ebool: d). 0.18/0.52 thf(decl_24, type, tyop_2Emin_2Efun: d > d > d). 0.18/0.52 thf(decl_25, type, s: d > u > du). 0.18/0.52 thf(decl_26, type, app_2E2: du > du > u). 0.18/0.52 thf(decl_42, type, c_2EquantHeuristics_2EGUESS__EXISTS_2E2: du > du > u). 0.18/0.52 thf(decl_44, type, c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2: du > du > u). 0.18/0.52 thf(decl_46, type, c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2: du > du > u). 0.18/0.52 thf(decl_48, type, c_2EquantHeuristics_2EGUESS__FORALL_2E2: du > du > u). 0.18/0.52 thf(decl_50, type, c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2: du > du > u). 0.18/0.52 thf(decl_52, type, c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2: du > du > u). 0.18/0.52 thf(decl_69, type, j_mono_2Etyop_2Emin_2Ebool: du > $o). 0.18/0.52 thf(decl_72, type, esk1_0: d). 0.18/0.52 thf(decl_73, type, esk2_0: d). 0.18/0.52 thf(decl_74, type, esk3_0: u). 0.18/0.52 thf(decl_75, type, esk4_0: u). 0.18/0.52 thf(decl_76, type, esk5_0: u). 0.18/0.52 thf(decl_78, type, esk7_4: d > d > u > u > u). 0.18/0.52 thf(decl_79, type, esk8_4: d > d > u > u > u). 0.18/0.52 thf(decl_80, type, esk9_4: d > d > u > u > u). 0.18/0.52 thf(decl_81, type, esk10_5: d > d > u > u > u > u). 0.18/0.52 thf(decl_82, type, esk11_5: d > d > u > u > u > u). 0.18/0.52 thf(decl_83, type, esk12_4: d > d > u > u > u). 0.18/0.52 thf(decl_84, type, esk13_4: d > d > u > u > u). 0.18/0.52 thf(decl_85, type, esk14_4: d > d > u > u > u). 0.18/0.52 thf(decl_86, type, esk15_4: d > d > u > u > u). 0.18/0.52 thf(decl_87, type, esk16_4: d > d > u > u > u). 0.18/0.52 thf(thm_2EquantHeuristics_2EGUESS__REWRITES, axiom, ![X1:d, X4:d, X7:u, X8:u]:(((((((![X9:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X8) @ (s @ X4 @ X9))))=>?[X10:u]:((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X8) @ (s @ X4 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X7) @ (s @ X1 @ X10)))))))))<=>(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X7) @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X8)))))&![X11:u, X12:u]:((![X13:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X12) @ (s @ X4 @ X13))))=>?[X14:u]:(((s @ X4 @ X13)=(s @ X4 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X11) @ (s @ X1 @ X14)))))))<=>(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X11) @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X12)))))))&![X15:u, X16:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X15) @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X16))))<=>![X17:u]:((?[X18:u]:(((s @ X4 @ X17)=(s @ X4 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X15) @ (s @ X1 @ X18)))))<=~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X16) @ (s @ X4 @ X17))))))))))&![X19:u, X20:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X19) @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X20))))<=>![X21:u]:(~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X20) @ (s @ X4 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X19) @ (s @ X1 @ X21)))))))))))&![X22:u, X23:u]:((![X24:u]:((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X23) @ (s @ X4 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X22) @ (s @ X1 @ X24)))))))<=>(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X22) @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X23)))))))&(![X25:u]:((~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X8) @ (s @ X4 @ X25)))))=>?[X26:u]:(~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X8) @ (s @ X4 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X7) @ (s @ X1 @ X26))))))))))<=>(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X7) @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X8))))))), file('/export/starexec/sandbox2/tmp/tmp.79qvLGdtyy/E---3.1_24301.p', thm_2EquantHeuristics_2EGUESS__REWRITES)). 0.18/0.52 thf(thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT, conjecture, ![X1:d, X4:d, X7:u, X8:u, X40:u]:((![X41:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X40) @ (s @ X1 @ X41))))=>(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X8) @ (s @ X1 @ X41))))))=>((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X7) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X8))))=>(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X7) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X40))))))), file('/export/starexec/sandbox2/tmp/tmp.79qvLGdtyy/E---3.1_24301.p', thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT)). 0.18/0.52 thf(c_0_2, plain, ![X1:d, X4:d, X7:u, X8:u]:(((((((![X9:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X8) @ (s @ X4 @ X9))))=>?[X10:u]:((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X8) @ (s @ X4 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X7) @ (s @ X1 @ X10)))))))))<=>(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X7) @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X8)))))&![X11:u, X12:u]:((![X13:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X12) @ (s @ X4 @ X13))))=>?[X14:u]:(((s @ X4 @ X13)=(s @ X4 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X11) @ (s @ X1 @ X14)))))))<=>(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X11) @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X12)))))))&![X15:u, X16:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X15) @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X16))))<=>![X17:u]:((~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X16) @ (s @ X4 @ X17))))=>?[X18:u]:(((s @ X4 @ X17)=(s @ X4 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X15) @ (s @ X1 @ X18))))))))))&![X19:u, X20:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X19) @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X20))))<=>![X21:u]:(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X20) @ (s @ X4 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X19) @ (s @ X1 @ X21))))))))))&![X22:u, X23:u]:((![X24:u]:((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X23) @ (s @ X4 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X22) @ (s @ X1 @ X24)))))))<=>(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X22) @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X23)))))))&(![X25:u]:((~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X8) @ (s @ X4 @ X25))))=>?[X26:u]:(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X8) @ (s @ X4 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X7) @ (s @ X1 @ X26)))))))))<=>(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X7) @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X8))))))), inference(fof_simplification,[status(thm)],[thm_2EquantHeuristics_2EGUESS__REWRITES])). 0.18/0.52 thf(c_0_3, negated_conjecture, ~(![X1:d, X4:d, X7:u, X8:u, X40:u]:((![X41:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X40) @ (s @ X1 @ X41))))=>(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X8) @ (s @ X1 @ X41))))))=>((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X7) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X8))))=>(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X7) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X40)))))))), inference(assume_negation,[status(cth)],[thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT])). 0.18/0.52 thf(c_0_4, plain, ![X140:d, X141:d, X142:u, X143:u, X145:u, X146:d, X147:d, X148:u, X149:u, X150:u, X152:d, X153:d, X154:u, X155:u, X157:u, X158:d, X159:d, X160:u, X161:u, X162:u, X164:d, X165:d, X166:u, X167:u, X168:u, X170:d, X171:d, X172:u, X173:u, X175:u, X176:d, X177:d, X178:u, X179:u, X180:u, X181:d, X182:d, X183:u, X184:u, X186:d, X187:d, X188:u, X189:u, X191:d, X192:d, X193:u, X194:u, X195:u, X196:d, X197:d, X198:u, X199:u, X201:u, X202:d, X203:d, X204:u, X205:u, X206:u]:((((((((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X141 @ tyop_2Emin_2Ebool) @ X143) @ (s @ X141 @ (esk7_4 @ X140 @ X141 @ X142 @ X143)))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ (s @ (tyop_2Emin_2Efun @ X140 @ X141) @ X142) @ (s @ (tyop_2Emin_2Efun @ X141 @ tyop_2Emin_2Ebool) @ X143)))))&(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X141 @ tyop_2Emin_2Ebool) @ X143) @ (s @ X141 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X140 @ X141) @ X142) @ (s @ X140 @ X145))))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ (s @ (tyop_2Emin_2Efun @ X140 @ X141) @ X142) @ (s @ (tyop_2Emin_2Efun @ X141 @ tyop_2Emin_2Ebool) @ X143))))))&(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ (s @ (tyop_2Emin_2Efun @ X146 @ X147) @ X148) @ (s @ (tyop_2Emin_2Efun @ X147 @ tyop_2Emin_2Ebool) @ X149))))|(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X147 @ tyop_2Emin_2Ebool) @ X149) @ (s @ X147 @ X150))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X147 @ tyop_2Emin_2Ebool) @ X149) @ (s @ X147 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X146 @ X147) @ X148) @ (s @ X146 @ (esk8_4 @ X146 @ X147 @ X148 @ X149))))))))))&((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X153 @ tyop_2Emin_2Ebool) @ X155) @ (s @ X153 @ (esk9_4 @ X152 @ X153 @ X154 @ X155)))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @ (s @ (tyop_2Emin_2Efun @ X152 @ X153) @ X154) @ (s @ (tyop_2Emin_2Efun @ X153 @ tyop_2Emin_2Ebool) @ X155)))))&(((s @ X153 @ (esk9_4 @ X152 @ X153 @ X154 @ X155))!=(s @ X153 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X152 @ X153) @ X154) @ (s @ X152 @ X157))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @ (s @ (tyop_2Emin_2Efun @ X152 @ X153) @ X154) @ (s @ (tyop_2Emin_2Efun @ X153 @ tyop_2Emin_2Ebool) @ X155))))))&(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @ (s @ (tyop_2Emin_2Efun @ X158 @ X159) @ X160) @ (s @ (tyop_2Emin_2Efun @ X159 @ tyop_2Emin_2Ebool) @ X161))))|(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X159 @ tyop_2Emin_2Ebool) @ X161) @ (s @ X159 @ X162))))|((s @ X159 @ X162)=(s @ X159 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X158 @ X159) @ X160) @ (s @ X158 @ (esk10_5 @ X158 @ X159 @ X160 @ X161 @ X162)))))))))&((~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @ (s @ (tyop_2Emin_2Efun @ X164 @ X165) @ X166) @ (s @ (tyop_2Emin_2Efun @ X165 @ tyop_2Emin_2Ebool) @ X167))))|((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X165 @ tyop_2Emin_2Ebool) @ X167) @ (s @ X165 @ X168))))|((s @ X165 @ X168)=(s @ X165 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X164 @ X165) @ X166) @ (s @ X164 @ (esk11_5 @ X164 @ X165 @ X166 @ X167 @ X168)))))))&((~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X171 @ tyop_2Emin_2Ebool) @ X173) @ (s @ X171 @ (esk12_4 @ X170 @ X171 @ X172 @ X173)))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @ (s @ (tyop_2Emin_2Efun @ X170 @ X171) @ X172) @ (s @ (tyop_2Emin_2Efun @ X171 @ tyop_2Emin_2Ebool) @ X173)))))&(((s @ X171 @ (esk12_4 @ X170 @ X171 @ X172 @ X173))!=(s @ X171 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X170 @ X171) @ X172) @ (s @ X170 @ X175))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @ (s @ (tyop_2Emin_2Efun @ X170 @ X171) @ X172) @ (s @ (tyop_2Emin_2Efun @ X171 @ tyop_2Emin_2Ebool) @ X173))))))))&((~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ (s @ (tyop_2Emin_2Efun @ X176 @ X177) @ X178) @ (s @ (tyop_2Emin_2Efun @ X177 @ tyop_2Emin_2Ebool) @ X179))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X177 @ tyop_2Emin_2Ebool) @ X179) @ (s @ X177 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X176 @ X177) @ X178) @ (s @ X176 @ X180)))))))&((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X182 @ tyop_2Emin_2Ebool) @ X184) @ (s @ X182 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X181 @ X182) @ X183) @ (s @ X181 @ (esk13_4 @ X181 @ X182 @ X183 @ X184)))))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ (s @ (tyop_2Emin_2Efun @ X181 @ X182) @ X183) @ (s @ (tyop_2Emin_2Efun @ X182 @ tyop_2Emin_2Ebool) @ X184)))))))&((~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X187 @ tyop_2Emin_2Ebool) @ X189) @ (s @ X187 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X186 @ X187) @ X188) @ (s @ X186 @ (esk14_4 @ X186 @ X187 @ X188 @ X189)))))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @ (s @ (tyop_2Emin_2Efun @ X186 @ X187) @ X188) @ (s @ (tyop_2Emin_2Efun @ X187 @ tyop_2Emin_2Ebool) @ X189)))))&(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @ (s @ (tyop_2Emin_2Efun @ X191 @ X192) @ X193) @ (s @ (tyop_2Emin_2Efun @ X192 @ tyop_2Emin_2Ebool) @ X194))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X192 @ tyop_2Emin_2Ebool) @ X194) @ (s @ X192 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X191 @ X192) @ X193) @ (s @ X191 @ X195)))))))))&(((~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X197 @ tyop_2Emin_2Ebool) @ X199) @ (s @ X197 @ (esk15_4 @ X196 @ X197 @ X198 @ X199)))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ (s @ (tyop_2Emin_2Efun @ X196 @ X197) @ X198) @ (s @ (tyop_2Emin_2Efun @ X197 @ tyop_2Emin_2Ebool) @ X199)))))&((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X197 @ tyop_2Emin_2Ebool) @ X199) @ (s @ X197 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X196 @ X197) @ X198) @ (s @ X196 @ X201))))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ (s @ (tyop_2Emin_2Efun @ X196 @ X197) @ X198) @ (s @ (tyop_2Emin_2Efun @ X197 @ tyop_2Emin_2Ebool) @ X199))))))&(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ (s @ (tyop_2Emin_2Efun @ X202 @ X203) @ X204) @ (s @ (tyop_2Emin_2Efun @ X203 @ tyop_2Emin_2Ebool) @ X205))))|((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X203 @ tyop_2Emin_2Ebool) @ X205) @ (s @ X203 @ X206))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X203 @ tyop_2Emin_2Ebool) @ X205) @ (s @ X203 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X202 @ X203) @ X204) @ (s @ X202 @ (esk16_4 @ X202 @ X203 @ X204 @ X205)))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])])])). 0.18/0.52 thf(c_0_5, negated_conjecture, ![X131:u]:(((~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ esk5_0) @ (s @ esk1_0 @ X131))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ esk4_0) @ (s @ esk1_0 @ X131)))))&((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk1_0) @ esk3_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ esk4_0))))&~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk1_0) @ esk3_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ esk5_0))))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])). 0.18/0.52 thf(c_0_6, plain, ![X1:d, X3:u, X2:u, X4:d, X5:u]:((~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X2) @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X3)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ tyop_2Emin_2Ebool) @ X3) @ (s @ X4 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X4) @ X2) @ (s @ X1 @ X5))))))))), inference(split_conjunct,[status(thm)],[c_0_4])). 0.18/0.52 thf(c_0_7, negated_conjecture, (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk1_0) @ esk3_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ esk4_0)))), inference(split_conjunct,[status(thm)],[c_0_5])). 0.18/0.52 thf(c_0_8, negated_conjecture, ![X2:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ esk4_0) @ (s @ esk1_0 @ X2))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ esk5_0) @ (s @ esk1_0 @ X2))))))), inference(split_conjunct,[status(thm)],[c_0_5])). 0.18/0.52 thf(c_0_9, plain, ![X1:d, X4:d, X3:u, X2:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X2) @ (s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X3) @ (s @ X4 @ (esk13_4 @ X4 @ X1 @ X3 @ X2)))))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ (s @ (tyop_2Emin_2Efun @ X4 @ X1) @ X3) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X2)))))), inference(split_conjunct,[status(thm)],[c_0_4])). 0.18/0.52 thf(c_0_10, negated_conjecture, ![X2:u]:(~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ esk4_0) @ (s @ esk1_0 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk1_0) @ esk3_0) @ (s @ esk2_0 @ X2)))))))), inference(spm,[status(thm)],[c_0_6, c_0_7])). 0.18/0.52 thf(c_0_11, negated_conjecture, ![X1:d, X2:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ esk4_0) @ (s @ esk1_0 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ esk1_0) @ X2) @ (s @ X1 @ (esk13_4 @ X1 @ esk1_0 @ X2 @ esk5_0)))))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ esk1_0) @ X2) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ esk5_0)))))), inference(spm,[status(thm)],[c_0_8, c_0_9])). 0.18/0.52 thf(c_0_12, negated_conjecture, ~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk1_0) @ esk3_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ esk5_0))))), inference(split_conjunct,[status(thm)],[c_0_5])). 0.18/0.52 thf(c_0_13, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10, c_0_11]), c_0_12]), ['proof']). 0.18/0.52 # SZS output end CNFRefutation 0.18/0.52 # Parsed axioms : 103 0.18/0.52 # Removed by relevancy pruning/SinE : 92 0.18/0.52 # Initial clauses : 36 0.18/0.52 # Removed in clause preprocessing : 2 0.18/0.52 # Initial clauses in saturation : 34 0.18/0.52 # Processed clauses : 69 0.18/0.52 # ...of these trivial : 0 0.18/0.52 # ...subsumed : 3 0.18/0.52 # ...remaining for further processing : 66 0.18/0.52 # Other redundant clauses eliminated : 0 0.18/0.52 # Clauses deleted for lack of memory : 0 0.18/0.52 # Backward-subsumed : 0 0.18/0.52 # Backward-rewritten : 0 0.18/0.52 # Generated clauses : 49 0.18/0.52 # ...of the previous two non-redundant : 46 0.18/0.52 # ...aggressively subsumed : 0 0.18/0.52 # Contextual simplify-reflections : 0 0.18/0.52 # Paramodulations : 48 0.18/0.52 # Factorizations : 0 0.18/0.52 # NegExts : 0 0.18/0.52 # Equation resolutions : 1 0.18/0.52 # Disequality decompositions : 0 0.18/0.52 # Total rewrite steps : 1 0.18/0.52 # ...of those cached : 0 0.18/0.52 # Propositional unsat checks : 0 0.18/0.52 # Propositional check models : 0 0.18/0.52 # Propositional check unsatisfiable : 0 0.18/0.52 # Propositional clauses : 0 0.18/0.52 # Propositional clauses after purity: 0 0.18/0.52 # Propositional unsat core size : 0 0.18/0.52 # Propositional preprocessing time : 0.000 0.18/0.52 # Propositional encoding time : 0.000 0.18/0.52 # Propositional solver time : 0.000 0.18/0.52 # Success case prop preproc time : 0.000 0.18/0.52 # Success case prop encoding time : 0.000 0.18/0.52 # Success case prop solver time : 0.000 0.18/0.52 # Current number of processed clauses : 34 0.18/0.52 # Positive orientable unit clauses : 3 0.18/0.52 # Positive unorientable unit clauses: 0 0.18/0.52 # Negative unit clauses : 2 0.18/0.52 # Non-unit-clauses : 29 0.18/0.52 # Current number of unprocessed clauses: 41 0.18/0.52 # ...number of literals in the above : 91 0.18/0.52 # Current number of archived formulas : 0 0.18/0.52 # Current number of archived clauses : 32 0.18/0.52 # Clause-clause subsumption calls (NU) : 116 0.18/0.52 # Rec. Clause-clause subsumption calls : 109 0.18/0.52 # Non-unit clause-clause subsumptions : 3 0.18/0.52 # Unit Clause-clause subsumption calls : 1 0.18/0.52 # Rewrite failures with RHS unbound : 0 0.18/0.52 # BW rewrite match attempts : 7 0.18/0.52 # BW rewrite match successes : 0 0.18/0.52 # Condensation attempts : 0 0.18/0.52 # Condensation successes : 0 0.18/0.52 # Termbank termtop insertions : 12153 0.18/0.52 # Search garbage collected termcells : 1806 0.18/0.52 0.18/0.52 # ------------------------------------------------- 0.18/0.52 # User time : 0.015 s 0.18/0.52 # System time : 0.007 s 0.18/0.52 # Total time : 0.022 s 0.18/0.52 # Maximum resident set size: 2288 pages 0.18/0.52 0.18/0.52 # ------------------------------------------------- 0.18/0.52 # User time : 0.058 s 0.18/0.52 # System time : 0.031 s 0.18/0.52 # Total time : 0.090 s 0.18/0.52 # Maximum resident set size: 1916 pages 0.18/0.52 % E exiting 0.18/0.53 % E exiting 0.18/0.53 EOF