TSTP Solution File: SEU512^1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU512^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n015.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 : Tue May 21 03:49:15 EDT 2024
% Result : Theorem 0.22s 0.41s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU512^1 : TPTP v8.2.0. Released v3.7.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 16:24:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a TH0_THM_EQU_NAR problem
% 0.15/0.36 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/sandbox/benchmark/theBenchmark.p
% 0.22/0.38 % (17899)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.38 % (17901)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 theBenchmark for (2999ds/27Mi)
% 0.22/0.38 % (17902)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.38 % (17903)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.38 % (17900)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 theBenchmark for (2999ds/4Mi)
% 0.22/0.38 % (17904)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.22/0.38 % (17905)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.22/0.38 % (17902)Instruction limit reached!
% 0.22/0.38 % (17902)------------------------------
% 0.22/0.38 % (17902)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (17902)Termination reason: Unknown
% 0.22/0.38 % (17903)Instruction limit reached!
% 0.22/0.38 % (17903)------------------------------
% 0.22/0.38 % (17903)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (17903)Termination reason: Unknown
% 0.22/0.38 % (17903)Termination phase: shuffling
% 0.22/0.38
% 0.22/0.38 % (17906)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.38 % (17903)Memory used [KB]: 1023
% 0.22/0.38 % (17903)Time elapsed: 0.003 s
% 0.22/0.38 % (17903)Instructions burned: 2 (million)
% 0.22/0.38 % (17903)------------------------------
% 0.22/0.38 % (17903)------------------------------
% 0.22/0.38 % (17902)Termination phase: shuffling
% 0.22/0.38
% 0.22/0.38 % (17902)Memory used [KB]: 1023
% 0.22/0.38 % (17902)Time elapsed: 0.003 s
% 0.22/0.38 % (17902)Instructions burned: 2 (million)
% 0.22/0.38 % (17902)------------------------------
% 0.22/0.38 % (17902)------------------------------
% 0.22/0.38 % (17906)Instruction limit reached!
% 0.22/0.38 % (17906)------------------------------
% 0.22/0.38 % (17906)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (17906)Termination reason: Unknown
% 0.22/0.38 % (17906)Termination phase: shuffling
% 0.22/0.38
% 0.22/0.38 % (17906)Memory used [KB]: 1023
% 0.22/0.38 % (17906)Time elapsed: 0.003 s
% 0.22/0.38 % (17906)Instructions burned: 3 (million)
% 0.22/0.38 % (17906)------------------------------
% 0.22/0.38 % (17906)------------------------------
% 0.22/0.38 % (17900)Instruction limit reached!
% 0.22/0.38 % (17900)------------------------------
% 0.22/0.38 % (17900)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.38 % (17900)Termination reason: Unknown
% 0.22/0.38 % (17900)Termination phase: shuffling
% 0.22/0.38
% 0.22/0.38 % (17900)Memory used [KB]: 1151
% 0.22/0.38 % (17900)Time elapsed: 0.004 s
% 0.22/0.38 % (17900)Instructions burned: 5 (million)
% 0.22/0.38 % (17900)------------------------------
% 0.22/0.38 % (17900)------------------------------
% 0.22/0.39 % (17905)Instruction limit reached!
% 0.22/0.39 % (17905)------------------------------
% 0.22/0.39 % (17905)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (17905)Termination reason: Unknown
% 0.22/0.39 % (17905)Termination phase: shuffling
% 0.22/0.39
% 0.22/0.39 % (17905)Memory used [KB]: 1407
% 0.22/0.39 % (17905)Time elapsed: 0.012 s
% 0.22/0.39 % (17905)Instructions burned: 19 (million)
% 0.22/0.39 % (17905)------------------------------
% 0.22/0.39 % (17905)------------------------------
% 0.22/0.39 % (17901)Instruction limit reached!
% 0.22/0.39 % (17901)------------------------------
% 0.22/0.39 % (17901)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.39 % (17901)Termination reason: Unknown
% 0.22/0.39 % (17901)Termination phase: Saturation
% 0.22/0.39
% 0.22/0.39 % (17901)Memory used [KB]: 5756
% 0.22/0.39 % (17901)Time elapsed: 0.016 s
% 0.22/0.39 % (17901)Instructions burned: 27 (million)
% 0.22/0.39 % (17901)------------------------------
% 0.22/0.39 % (17901)------------------------------
% 0.22/0.40 % (17907)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.40 % (17908)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.22/0.40 % (17909)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.40 % (17910)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.22/0.40 % (17909)Instruction limit reached!
% 0.22/0.40 % (17909)------------------------------
% 0.22/0.40 % (17909)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.40 % (17909)Termination reason: Unknown
% 0.22/0.40 % (17909)Termination phase: shuffling
% 0.22/0.40
% 0.22/0.40 % (17909)Memory used [KB]: 1023
% 0.22/0.40 % (17909)Time elapsed: 0.004 s
% 0.22/0.40 % (17909)Instructions burned: 4 (million)
% 0.22/0.40 % (17909)------------------------------
% 0.22/0.40 % (17909)------------------------------
% 0.22/0.41 % (17908)Instruction limit reached!
% 0.22/0.41 % (17908)------------------------------
% 0.22/0.41 % (17908)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (17908)Termination reason: Unknown
% 0.22/0.41 % (17908)Termination phase: Property scanning
% 0.22/0.41
% 0.22/0.41 % (17908)Memory used [KB]: 1407
% 0.22/0.41 % (17908)Time elapsed: 0.011 s
% 0.22/0.41 % (17908)Instructions burned: 16 (million)
% 0.22/0.41 % (17908)------------------------------
% 0.22/0.41 % (17908)------------------------------
% 0.22/0.41 % (17911)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.41 % (17912)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.41 % (17899)First to succeed.
% 0.22/0.41 % (17911)Instruction limit reached!
% 0.22/0.41 % (17911)------------------------------
% 0.22/0.41 % (17911)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (17911)Termination reason: Unknown
% 0.22/0.41 % (17911)Termination phase: Property scanning
% 0.22/0.41
% 0.22/0.41 % (17911)Memory used [KB]: 1151
% 0.22/0.41 % (17911)Time elapsed: 0.006 s
% 0.22/0.41 % (17911)Instructions burned: 8 (million)
% 0.22/0.41 % (17911)------------------------------
% 0.22/0.41 % (17911)------------------------------
% 0.22/0.41 % (17899)Refutation found. Thanks to Tanya!
% 0.22/0.41 % SZS status Theorem for theBenchmark
% 0.22/0.41 % SZS output start Proof for theBenchmark
% 0.22/0.41 thf(func_def_0, type, in: $i > $i > $o).
% 0.22/0.41 thf(func_def_1, type, exu: ($i > $o) > $o).
% 0.22/0.41 thf(func_def_6, type, setadjoin: $i > $i > $i).
% 0.22/0.41 thf(func_def_8, type, powerset: $i > $i).
% 0.22/0.41 thf(func_def_10, type, setunion: $i > $i).
% 0.22/0.41 thf(func_def_19, type, descr: ($i > $o) > $i).
% 0.22/0.41 thf(func_def_21, type, dsetconstr: $i > ($i > $o) > $i).
% 0.22/0.41 thf(func_def_26, type, prop2set: $o > $i).
% 0.22/0.41 thf(func_def_36, type, nonempty: $i > $o).
% 0.22/0.41 thf(func_def_59, type, sK3: $i > $i).
% 0.22/0.41 thf(func_def_60, type, sK4: $i > $i > $i).
% 0.22/0.41 thf(func_def_61, type, sK5: $i > $i > $i).
% 0.22/0.41 thf(func_def_62, type, sK6: $i > $i > $i).
% 0.22/0.41 thf(func_def_63, type, sK7: $i > $i).
% 0.22/0.41 thf(func_def_64, type, sK8: $i > $i).
% 0.22/0.41 thf(func_def_65, type, sK9: ($i > $o) > $i).
% 0.22/0.41 thf(func_def_66, type, sK10: ($i > $o) > $i > $i).
% 0.22/0.41 thf(func_def_67, type, sK11: $i > $i > $i).
% 0.22/0.41 thf(func_def_68, type, sK12: $i > $i).
% 0.22/0.41 thf(func_def_70, type, sK13: ($i > $i > $o) > $i > $i).
% 0.22/0.41 thf(func_def_71, type, sK14: ($i > $i > $o) > $i > $i).
% 0.22/0.41 thf(func_def_72, type, sK15: $i > ($i > $i > $o) > $i > $i).
% 0.22/0.41 thf(func_def_73, type, sK16: ($i > $i > $o) > $i > $i).
% 0.22/0.41 thf(func_def_74, type, sK17: $i > ($i > $i > $o) > $i > $i).
% 0.22/0.41 thf(func_def_75, type, sK18: $i > ($i > $i > $o) > $i > $i).
% 0.22/0.41 thf(func_def_76, type, sK19: $i > $i).
% 0.22/0.41 thf(func_def_77, type, sK20: $i > $i > $i > $i).
% 0.22/0.41 thf(func_def_78, type, sK21: $i > $i > $i).
% 0.22/0.41 thf(func_def_79, type, sK22: $i > $i > $i).
% 0.22/0.41 thf(func_def_80, type, sK23: $i > $i > $i).
% 0.22/0.41 thf(func_def_81, type, sK24: $i > $i).
% 0.22/0.41 thf(func_def_82, type, sK25: $i > $i > $i).
% 0.22/0.41 thf(func_def_83, type, sK26: ($i > $o) > $i > $i).
% 0.22/0.41 thf(func_def_84, type, sK27: $i > $i > $i).
% 0.22/0.41 thf(f591,plain,(
% 0.22/0.41 $false),
% 0.22/0.41 inference(trivial_inequality_removal,[],[f590])).
% 0.22/0.41 thf(f590,plain,(
% 0.22/0.41 ($true != $true) | (sK0 != sK0)),
% 0.22/0.41 inference(superposition,[],[f139,f271])).
% 0.22/0.41 thf(f271,plain,(
% 0.22/0.41 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (in @ X3 @ (setadjoin @ X1 @ X2))) | (X1 != X3)) )),
% 0.22/0.41 inference(equality_proxy_clausification,[],[f270])).
% 0.22/0.41 thf(f270,plain,(
% 0.22/0.41 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (in @ X3 @ (setadjoin @ X1 @ X2))) | ((X3 = X1) = $false)) )),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f265])).
% 0.22/0.41 thf(f265,plain,(
% 0.22/0.41 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($false = ((X3 = X1) | (in @ X3 @ X2))) | ($true = (in @ X3 @ (setadjoin @ X1 @ X2)))) )),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f264])).
% 0.22/0.41 thf(f264,plain,(
% 0.22/0.41 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X3 @ (setadjoin @ X1 @ X2)) = ((X3 = X1) | (in @ X3 @ X2)))) )),
% 0.22/0.41 inference(binary_proxy_clausification,[],[f263])).
% 0.22/0.41 thf(f263,plain,(
% 0.22/0.41 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((in @ X3 @ (setadjoin @ X1 @ X2)) = ((X3 = X1) | (in @ X3 @ X2))))) )),
% 0.22/0.41 inference(beta_eta_normalization,[],[f262])).
% 0.22/0.41 thf(f262,plain,(
% 0.22/0.41 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ (setadjoin @ X1 @ X2)) = ((Y0 = X1) | (in @ Y0 @ X2)))) @ X3))) )),
% 0.22/0.41 inference(pi_clausification,[],[f261])).
% 0.22/0.41 thf(f261,plain,(
% 0.22/0.41 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ (setadjoin @ X1 @ X2)) = ((Y0 = X1) | (in @ Y0 @ X2))))) = $true)) )),
% 0.22/0.41 inference(beta_eta_normalization,[],[f260])).
% 0.22/0.41 thf(f260,plain,(
% 0.22/0.41 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (setadjoin @ X1 @ Y0)) = ((Y1 = X1) | (in @ Y1 @ Y0)))))) @ X2) = $true)) )),
% 0.22/0.41 inference(pi_clausification,[],[f259])).
% 0.22/0.41 thf(f259,plain,(
% 0.22/0.41 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ (setadjoin @ X1 @ Y0)) = ((Y1 = X1) | (in @ Y1 @ Y0))))))))) )),
% 0.22/0.41 inference(beta_eta_normalization,[],[f258])).
% 0.22/0.41 thf(f258,plain,(
% 0.22/0.41 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (setadjoin @ Y0 @ Y1)) = ((Y2 = Y0) | (in @ Y2 @ Y1)))))))) @ X1))) )),
% 0.22/0.41 inference(pi_clausification,[],[f171])).
% 0.22/0.41 thf(f171,plain,(
% 0.22/0.41 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (setadjoin @ Y0 @ Y1)) = ((Y2 = Y0) | (in @ Y2 @ Y1))))))))))),
% 0.22/0.41 inference(definition_unfolding,[],[f140,f116])).
% 0.22/0.41 thf(f116,plain,(
% 0.22/0.41 (setadjoinAx = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (setadjoin @ Y0 @ Y1)) = ((Y2 = Y0) | (in @ Y2 @ Y1))))))))))),
% 0.22/0.41 inference(cnf_transformation,[],[f91])).
% 0.22/0.41 thf(f91,plain,(
% 0.22/0.41 (setadjoinAx = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ (setadjoin @ Y0 @ Y1)) = ((Y2 = Y0) | (in @ Y2 @ Y1))))))))))),
% 0.22/0.41 inference(fool_elimination,[],[f90])).
% 0.22/0.41 thf(f90,plain,(
% 0.22/0.41 (setadjoinAx = ! [X0,X1,X2] : ((in @ X0 @ (setadjoin @ X2 @ X1)) <=> ((in @ X0 @ X1) | (X0 = X2))))),
% 0.22/0.41 inference(rectify,[],[f4])).
% 0.22/0.41 thf(f4,axiom,(
% 0.22/0.41 (setadjoinAx = ! [X2,X3,X1] : ((in @ X2 @ (setadjoin @ X1 @ X3)) <=> ((in @ X2 @ X3) | (X1 = X2))))),
% 0.22/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinAx)).
% 0.22/0.41 thf(f140,plain,(
% 0.22/0.41 (setadjoinAx = $true)),
% 0.22/0.41 inference(cnf_transformation,[],[f99])).
% 0.22/0.41 thf(f99,plain,(
% 0.22/0.41 (dsetconstrEL = $true) & (nonemptyE1 = $true) & (noeltsimpempty = $true) & (notinemptyset = $true) & (descrp = $true) & (prop2setE = $true) & (dsetconstrI = $true) & (emptysetAx = $true) & (emptyI = $true) & (setadjoinAx = $true) & ($true != (in @ sK0 @ (setadjoin @ sK0 @ sK1))) & (setbeta = $true) & (exuE1 = $true) & (emptysetimpfalse = $true) & (setextAx = $true) & (exuE3e = $true) & (omega0Ax = $true) & (emptysetE = $true) & (wellorderingAx = $true) & (nonemptyI1 = $true) & (setunionAx = $true) & (foundationAx = $true) & (dsetconstrER = $true) & (nonemptyI = $true) & (setext = $true) & (omegaSAx = $true) & (omegaIndAx = $true) & (replAx = $true) & (powersetAx = $true)),
% 0.22/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f97,f98])).
% 0.22/0.41 thf(f98,plain,(
% 0.22/0.41 ? [X0,X1] : ((in @ X0 @ (setadjoin @ X0 @ X1)) != $true) => ($true != (in @ sK0 @ (setadjoin @ sK0 @ sK1)))),
% 0.22/0.41 introduced(choice_axiom,[])).
% 0.22/0.41 thf(f97,plain,(
% 0.22/0.41 (dsetconstrEL = $true) & (nonemptyE1 = $true) & (noeltsimpempty = $true) & (notinemptyset = $true) & (descrp = $true) & (prop2setE = $true) & (dsetconstrI = $true) & (emptysetAx = $true) & (emptyI = $true) & (setadjoinAx = $true) & ? [X0,X1] : ((in @ X0 @ (setadjoin @ X0 @ X1)) != $true) & (setbeta = $true) & (exuE1 = $true) & (emptysetimpfalse = $true) & (setextAx = $true) & (exuE3e = $true) & (omega0Ax = $true) & (emptysetE = $true) & (wellorderingAx = $true) & (nonemptyI1 = $true) & (setunionAx = $true) & (foundationAx = $true) & (dsetconstrER = $true) & (nonemptyI = $true) & (setext = $true) & (omegaSAx = $true) & (omegaIndAx = $true) & (replAx = $true) & (powersetAx = $true)),
% 0.22/0.41 inference(flattening,[],[f96])).
% 0.22/0.41 thf(f96,plain,(
% 0.22/0.41 (((((((((((((((((((((((((((? [X0,X1] : ((in @ X0 @ (setadjoin @ X0 @ X1)) != $true) & (nonemptyI1 = $true)) & (nonemptyI = $true)) & (nonemptyE1 = $true)) & (setbeta = $true)) & (noeltsimpempty = $true)) & (emptyI = $true)) & (setext = $true)) & (exuE3e = $true)) & (notinemptyset = $true)) & (emptysetimpfalse = $true)) & (emptysetE = $true)) & (prop2setE = $true)) & (exuE1 = $true)) & (dsetconstrER = $true)) & (dsetconstrEL = $true)) & (dsetconstrI = $true)) & (descrp = $true)) & (wellorderingAx = $true)) & (foundationAx = $true)) & (replAx = $true)) & (omegaIndAx = $true)) & (omegaSAx = $true)) & (omega0Ax = $true)) & (setunionAx = $true)) & (powersetAx = $true)) & (setadjoinAx = $true)) & (emptysetAx = $true)) & (setextAx = $true)),
% 0.22/0.41 inference(ennf_transformation,[],[f62])).
% 0.22/0.41 thf(f62,plain,(
% 0.22/0.41 ~((setextAx = $true) => ((emptysetAx = $true) => ((setadjoinAx = $true) => ((powersetAx = $true) => ((setunionAx = $true) => ((omega0Ax = $true) => ((omegaSAx = $true) => ((omegaIndAx = $true) => ((replAx = $true) => ((foundationAx = $true) => ((wellorderingAx = $true) => ((descrp = $true) => ((dsetconstrI = $true) => ((dsetconstrEL = $true) => ((dsetconstrER = $true) => ((exuE1 = $true) => ((prop2setE = $true) => ((emptysetE = $true) => ((emptysetimpfalse = $true) => ((notinemptyset = $true) => ((exuE3e = $true) => ((setext = $true) => ((emptyI = $true) => ((noeltsimpempty = $true) => ((setbeta = $true) => ((nonemptyE1 = $true) => ((nonemptyI = $true) => ((nonemptyI1 = $true) => ! [X0,X1] : ((in @ X0 @ (setadjoin @ X0 @ X1)) = $true)))))))))))))))))))))))))))))),
% 0.22/0.41 inference(fool_elimination,[],[f61])).
% 0.22/0.41 thf(f61,plain,(
% 0.22/0.41 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => ! [X0,X1] : (in @ X0 @ (setadjoin @ X0 @ X1))))))))))))))))))))))))))))))),
% 0.22/0.41 inference(rectify,[],[f33])).
% 0.22/0.41 thf(f33,negated_conjecture,(
% 0.22/0.41 ~(setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => ! [X1,X2] : (in @ X1 @ (setadjoin @ X1 @ X2))))))))))))))))))))))))))))))),
% 0.22/0.41 inference(negated_conjecture,[],[f32])).
% 0.22/0.41 thf(f32,conjecture,(
% 0.22/0.41 setextAx => (emptysetAx => (setadjoinAx => (powersetAx => (setunionAx => (omega0Ax => (omegaSAx => (omegaIndAx => (replAx => (foundationAx => (wellorderingAx => (descrp => (dsetconstrI => (dsetconstrEL => (dsetconstrER => (exuE1 => (prop2setE => (emptysetE => (emptysetimpfalse => (notinemptyset => (exuE3e => (setext => (emptyI => (noeltsimpempty => (setbeta => (nonemptyE1 => (nonemptyI => (nonemptyI1 => ! [X1,X2] : (in @ X1 @ (setadjoin @ X1 @ X2)))))))))))))))))))))))))))))),
% 0.22/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p',setadjoinIL)).
% 0.22/0.41 thf(f139,plain,(
% 0.22/0.41 ($true != (in @ sK0 @ (setadjoin @ sK0 @ sK1)))),
% 0.22/0.41 inference(cnf_transformation,[],[f99])).
% 0.22/0.41 % SZS output end Proof for theBenchmark
% 0.22/0.41 % (17899)------------------------------
% 0.22/0.41 % (17899)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.41 % (17899)Termination reason: Refutation
% 0.22/0.41
% 0.22/0.41 % (17899)Memory used [KB]: 6012
% 0.22/0.41 % (17899)Time elapsed: 0.033 s
% 0.22/0.41 % (17899)Instructions burned: 55 (million)
% 0.22/0.41 % (17899)------------------------------
% 0.22/0.41 % (17899)------------------------------
% 0.22/0.41 % (17898)Success in time 0.032 s
% 0.22/0.41 % Vampire---4.8 exiting
%------------------------------------------------------------------------------