TSTP Solution File: ITP153^2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP153^2 : TPTP v8.2.0. Released 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n011.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 : Mon May 20 22:34:05 EDT 2024
% Result : Theorem 0.23s 0.51s
% Output : Refutation 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : ITP153^2 : TPTP v8.2.0. Released v7.5.0.
% 0.14/0.16 % 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
% 0.16/0.38 % Computer : n011.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Sat May 18 15:18:08 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.16/0.38 This is a TH1_THM_EQU_NAR problem
% 0.16/0.38 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
% 0.16/0.42 % (32280)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.42 % (32277)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.16/0.42 % (32279)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)
% 0.16/0.42 % (32278)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)
% 0.16/0.42 % (32281)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)
% 0.16/0.42 % (32284)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)
% 0.16/0.42 % (32283)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.16/0.42 % (32282)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)
% 0.16/0.42 % (32281)Instruction limit reached!
% 0.16/0.42 % (32281)------------------------------
% 0.16/0.42 % (32281)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42 % (32281)Termination reason: Unknown
% 0.16/0.42 % (32281)Termination phase: shuffling
% 0.16/0.42
% 0.16/0.42 % (32281)Memory used [KB]: 1279
% 0.16/0.42 % (32281)Time elapsed: 0.003 s
% 0.16/0.42 % (32281)Instructions burned: 2 (million)
% 0.16/0.42 % (32281)------------------------------
% 0.16/0.42 % (32281)------------------------------
% 0.16/0.42 % (32280)Instruction limit reached!
% 0.16/0.42 % (32280)------------------------------
% 0.16/0.42 % (32280)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42 % (32280)Termination reason: Unknown
% 0.16/0.42 % (32280)Termination phase: shuffling
% 0.16/0.42
% 0.16/0.42 % (32280)Memory used [KB]: 1407
% 0.16/0.42 % (32280)Time elapsed: 0.004 s
% 0.16/0.42 % (32280)Instructions burned: 3 (million)
% 0.16/0.42 % (32280)------------------------------
% 0.16/0.42 % (32280)------------------------------
% 0.16/0.42 % (32284)Instruction limit reached!
% 0.16/0.42 % (32284)------------------------------
% 0.16/0.42 % (32284)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42 % (32284)Termination reason: Unknown
% 0.16/0.42 % (32284)Termination phase: shuffling
% 0.16/0.42
% 0.16/0.42 % (32284)Memory used [KB]: 1407
% 0.16/0.42 % (32284)Time elapsed: 0.003 s
% 0.16/0.42 % (32284)Instructions burned: 3 (million)
% 0.16/0.42 % (32284)------------------------------
% 0.16/0.42 % (32284)------------------------------
% 0.16/0.42 % (32278)Instruction limit reached!
% 0.16/0.42 % (32278)------------------------------
% 0.16/0.42 % (32278)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.42 % (32278)Termination reason: Unknown
% 0.16/0.42 % (32278)Termination phase: shuffling
% 0.16/0.42
% 0.16/0.42 % (32278)Memory used [KB]: 1407
% 0.16/0.42 % (32278)Time elapsed: 0.005 s
% 0.16/0.42 % (32278)Instructions burned: 4 (million)
% 0.16/0.42 % (32278)------------------------------
% 0.16/0.42 % (32278)------------------------------
% 0.16/0.43 % (32283)Instruction limit reached!
% 0.16/0.43 % (32283)------------------------------
% 0.16/0.43 % (32283)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.43 % (32283)Termination reason: Unknown
% 0.16/0.43 % (32283)Termination phase: shuffling
% 0.16/0.43
% 0.16/0.43 % (32283)Memory used [KB]: 1663
% 0.16/0.43 % (32283)Time elapsed: 0.012 s
% 0.16/0.43 % (32283)Instructions burned: 18 (million)
% 0.16/0.43 % (32283)------------------------------
% 0.16/0.43 % (32283)------------------------------
% 0.16/0.44 % (32285)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)
% 0.16/0.44 % (32286)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)
% 0.16/0.44 % (32287)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)
% 0.16/0.44 % (32288)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)
% 0.16/0.44 % (32279)Instruction limit reached!
% 0.16/0.44 % (32279)------------------------------
% 0.16/0.44 % (32279)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.44 % (32279)Termination reason: Unknown
% 0.16/0.44 % (32279)Termination phase: Property scanning
% 0.16/0.44
% 0.16/0.44 % (32279)Memory used [KB]: 1791
% 0.16/0.44 % (32279)Time elapsed: 0.020 s
% 0.16/0.44 % (32279)Instructions burned: 28 (million)
% 0.16/0.44 % (32279)------------------------------
% 0.16/0.44 % (32279)------------------------------
% 0.16/0.44 % (32287)Instruction limit reached!
% 0.16/0.44 % (32287)------------------------------
% 0.16/0.44 % (32287)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.16/0.44 % (32287)Termination reason: Unknown
% 0.16/0.44 % (32287)Termination phase: shuffling
% 0.16/0.44
% 0.16/0.44 % (32287)Memory used [KB]: 1407
% 0.16/0.44 % (32287)Time elapsed: 0.004 s
% 0.16/0.44 % (32287)Instructions burned: 3 (million)
% 0.16/0.44 % (32287)------------------------------
% 0.16/0.44 % (32287)------------------------------
% 0.23/0.45 % (32286)Instruction limit reached!
% 0.23/0.45 % (32286)------------------------------
% 0.23/0.45 % (32286)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.45 % (32286)Termination reason: Unknown
% 0.23/0.45 % (32286)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (32286)Memory used [KB]: 1663
% 0.23/0.45 % (32286)Time elapsed: 0.012 s
% 0.23/0.45 % (32286)Instructions burned: 15 (million)
% 0.23/0.45 % (32286)------------------------------
% 0.23/0.45 % (32286)------------------------------
% 0.23/0.45 % (32289)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.46 % (32289)Instruction limit reached!
% 0.23/0.46 % (32289)------------------------------
% 0.23/0.46 % (32289)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (32282)Refutation not found, incomplete strategy
% 0.23/0.46 % (32282)------------------------------
% 0.23/0.46 % (32282)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (32282)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.46
% 0.23/0.46
% 0.23/0.46 % (32282)Memory used [KB]: 6524
% 0.23/0.46 % (32282)Time elapsed: 0.037 s
% 0.23/0.46 % (32282)Instructions burned: 60 (million)
% 0.23/0.46 % (32282)------------------------------
% 0.23/0.46 % (32282)------------------------------
% 0.23/0.46 % (32289)Termination reason: Unknown
% 0.23/0.46 % (32289)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (32289)Memory used [KB]: 1407
% 0.23/0.46 % (32289)Time elapsed: 0.006 s
% 0.23/0.46 % (32289)Instructions burned: 8 (million)
% 0.23/0.46 % (32289)------------------------------
% 0.23/0.46 % (32289)------------------------------
% 0.23/0.46 % (32285)Instruction limit reached!
% 0.23/0.46 % (32285)------------------------------
% 0.23/0.46 % (32285)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (32285)Termination reason: Unknown
% 0.23/0.46 % (32285)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (32285)Memory used [KB]: 2174
% 0.23/0.46 % (32285)Time elapsed: 0.023 s
% 0.23/0.46 % (32285)Instructions burned: 38 (million)
% 0.23/0.46 % (32285)------------------------------
% 0.23/0.46 % (32285)------------------------------
% 0.23/0.46 % (32291)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.23/0.46 % (32291)Instruction limit reached!
% 0.23/0.46 % (32291)------------------------------
% 0.23/0.46 % (32291)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (32291)Termination reason: Unknown
% 0.23/0.46 % (32291)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (32291)Memory used [KB]: 1407
% 0.23/0.46 % (32291)Time elapsed: 0.004 s
% 0.23/0.46 % (32291)Instructions burned: 3 (million)
% 0.23/0.46 % (32291)------------------------------
% 0.23/0.46 % (32291)------------------------------
% 0.23/0.46 % (32292)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.23/0.46 % (32292)Instruction limit reached!
% 0.23/0.46 % (32292)------------------------------
% 0.23/0.46 % (32292)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.46 % (32292)Termination reason: Unknown
% 0.23/0.46 % (32292)Termination phase: shuffling
% 0.23/0.46
% 0.23/0.46 % (32292)Memory used [KB]: 1407
% 0.23/0.46 % (32292)Time elapsed: 0.004 s
% 0.23/0.46 % (32292)Instructions burned: 3 (million)
% 0.23/0.46 % (32292)------------------------------
% 0.23/0.46 % (32292)------------------------------
% 0.23/0.46 % (32290)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.23/0.47 % (32294)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.23/0.47 % (32294)Instruction limit reached!
% 0.23/0.47 % (32294)------------------------------
% 0.23/0.47 % (32294)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (32294)Termination reason: Unknown
% 0.23/0.47 % (32294)Termination phase: shuffling
% 0.23/0.47
% 0.23/0.47 % (32294)Memory used [KB]: 1407
% 0.23/0.47 % (32294)Time elapsed: 0.004 s
% 0.23/0.47 % (32294)Instructions burned: 3 (million)
% 0.23/0.47 % (32294)------------------------------
% 0.23/0.47 % (32294)------------------------------
% 0.23/0.47 % (32295)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.23/0.47 % (32290)Instruction limit reached!
% 0.23/0.47 % (32290)------------------------------
% 0.23/0.47 % (32290)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.47 % (32290)Termination reason: Unknown
% 0.23/0.47 % (32290)Termination phase: shuffling
% 0.23/0.47
% 0.23/0.47 % (32290)Memory used [KB]: 1663
% 0.23/0.47 % (32290)Time elapsed: 0.012 s
% 0.23/0.47 % (32290)Instructions burned: 16 (million)
% 0.23/0.47 % (32290)------------------------------
% 0.23/0.47 % (32290)------------------------------
% 0.23/0.48 % (32296)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.23/0.48 % (32295)Instruction limit reached!
% 0.23/0.48 % (32295)------------------------------
% 0.23/0.48 % (32295)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.48 % (32295)Termination reason: Unknown
% 0.23/0.48 % (32295)Termination phase: shuffling
% 0.23/0.48
% 0.23/0.48 % (32295)Memory used [KB]: 1407
% 0.23/0.48 % (32295)Time elapsed: 0.005 s
% 0.23/0.48 % (32295)Instructions burned: 5 (million)
% 0.23/0.48 % (32295)------------------------------
% 0.23/0.48 % (32295)------------------------------
% 0.23/0.48 % (32297)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.23/0.48 % (32293)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.23/0.49 % (32296)Instruction limit reached!
% 0.23/0.49 % (32296)------------------------------
% 0.23/0.49 % (32296)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (32296)Termination reason: Unknown
% 0.23/0.49 % (32296)Termination phase: shuffling
% 0.23/0.49
% 0.23/0.49 % (32296)Memory used [KB]: 1663
% 0.23/0.49 % (32296)Time elapsed: 0.013 s
% 0.23/0.49 % (32296)Instructions burned: 19 (million)
% 0.23/0.49 % (32296)------------------------------
% 0.23/0.49 % (32296)------------------------------
% 0.23/0.49 % (32298)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.23/0.49 % (32293)Instruction limit reached!
% 0.23/0.49 % (32293)------------------------------
% 0.23/0.49 % (32293)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (32299)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.23/0.49 % (32293)Termination reason: Unknown
% 0.23/0.49 % (32293)Termination phase: shuffling
% 0.23/0.49
% 0.23/0.49 % (32293)Memory used [KB]: 1407
% 0.23/0.49 % (32293)Time elapsed: 0.007 s
% 0.23/0.49 % (32293)Instructions burned: 8 (million)
% 0.23/0.49 % (32293)------------------------------
% 0.23/0.49 % (32293)------------------------------
% 0.23/0.49 % (32300)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.23/0.49 % (32298)Instruction limit reached!
% 0.23/0.49 % (32298)------------------------------
% 0.23/0.49 % (32298)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.49 % (32298)Termination reason: Unknown
% 0.23/0.49 % (32298)Termination phase: shuffling
% 0.23/0.49
% 0.23/0.49 % (32298)Memory used [KB]: 1407
% 0.23/0.49 % (32298)Time elapsed: 0.006 s
% 0.23/0.49 % (32298)Instructions burned: 6 (million)
% 0.23/0.49 % (32298)------------------------------
% 0.23/0.49 % (32298)------------------------------
% 0.23/0.50 % (32301)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.23/0.51 % (32300)Instruction limit reached!
% 0.23/0.51 % (32300)------------------------------
% 0.23/0.51 % (32300)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (32300)Termination reason: Unknown
% 0.23/0.51 % (32300)Termination phase: shuffling
% 0.23/0.51
% 0.23/0.51 % (32300)Memory used [KB]: 1791
% 0.23/0.51 % (32300)Time elapsed: 0.016 s
% 0.23/0.51 % (32300)Instructions burned: 21 (million)
% 0.23/0.51 % (32300)------------------------------
% 0.23/0.51 % (32300)------------------------------
% 0.23/0.51 % (32301)Instruction limit reached!
% 0.23/0.51 % (32301)------------------------------
% 0.23/0.51 % (32301)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (32301)Termination reason: Unknown
% 0.23/0.51 % (32301)Termination phase: shuffling
% 0.23/0.51
% 0.23/0.51 % (32301)Memory used [KB]: 1407
% 0.23/0.51 % (32301)Time elapsed: 0.005 s
% 0.23/0.51 % (32301)Instructions burned: 5 (million)
% 0.23/0.51 % (32301)------------------------------
% 0.23/0.51 % (32301)------------------------------
% 0.23/0.51 % (32302)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 0.23/0.51 % (32297)First to succeed.
% 0.23/0.51 % (32303)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.23/0.51 % (32297)Refutation found. Thanks to Tanya!
% 0.23/0.51 % SZS status Theorem for theBenchmark
% 0.23/0.51 % SZS output start Proof for theBenchmark
% 0.23/0.51 thf(type_def_5, type, product_prod: ($tType * $tType) > $tType).
% 0.23/0.51 thf(type_def_6, type, set: ($tType) > $tType).
% 0.23/0.51 thf(type_def_8, type, a: $tType).
% 0.23/0.51 thf(func_def_0, type, product_prod: ($tType * $tType) > $tType).
% 0.23/0.51 thf(func_def_1, type, set: ($tType) > $tType).
% 0.23/0.51 thf(func_def_2, type, a: $tType).
% 0.23/0.51 thf(func_def_3, type, type: !>[X0: $tType]:($o)).
% 0.23/0.51 thf(func_def_4, type, bot: !>[X0: $tType]:($o)).
% 0.23/0.51 thf(func_def_5, type, ord: !>[X0: $tType]:($o)).
% 0.23/0.51 thf(func_def_6, type, order: !>[X0: $tType]:($o)).
% 0.23/0.51 thf(func_def_7, type, linorder: !>[X0: $tType]:($o)).
% 0.23/0.51 thf(func_def_8, type, preorder: !>[X0: $tType]:($o)).
% 0.23/0.51 thf(func_def_9, type, order_bot: !>[X0: $tType]:($o)).
% 0.23/0.51 thf(func_def_10, type, bNF_Ca1785829860lChain: !>[X0: $tType, X1: $tType]:(set @ product_prod @ X0 @ X0 > (X0 > X1) > $o)).
% 0.23/0.51 thf(func_def_11, type, uminus_uminus: !>[X0: $tType]:(X0 > X0)).
% 0.23/0.51 thf(func_def_12, type, order_1409979114der_on: !>[X0: $tType]:(set @ X0 > set @ product_prod @ X0 @ X0 > $o)).
% 0.23/0.51 thf(func_def_13, type, order_preorder_on: !>[X0: $tType]:(set @ X0 > set @ product_prod @ X0 @ X0 > $o)).
% 0.23/0.51 thf(func_def_14, type, order_under: !>[X0: $tType]:(set @ product_prod @ X0 @ X0 > X0 > set @ X0)).
% 0.23/0.51 thf(func_def_15, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.23/0.51 thf(func_def_16, type, ord_less_eq: !>[X0: $tType]:(X0 > X0 > $o)).
% 0.23/0.51 thf(func_def_17, type, order_Greatest: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.23/0.51 thf(func_def_18, type, prefer951318096ood_as: !>[X0: $tType]:(X0 > set @ X0 > set @ product_prod @ X0 @ X0 > set @ X0)).
% 0.23/0.51 thf(func_def_19, type, prefer310429814s_good: !>[X0: $tType]:(X0 > set @ X0 > set @ product_prod @ X0 @ X0 > set @ X0)).
% 0.23/0.51 thf(func_def_20, type, prefer1532642881r_than: !>[X0: $tType]:(X0 > set @ X0 > set @ product_prod @ X0 @ X0 > set @ X0)).
% 0.23/0.51 thf(func_def_21, type, prefer199794634erence: !>[X0: $tType]:(set @ X0 > set @ product_prod @ X0 @ X0 > $o)).
% 0.23/0.51 thf(func_def_22, type, prefer1997167224erence: !>[X0: $tType]:(set @ X0 > set @ product_prod @ X0 @ X0 > $o)).
% 0.23/0.51 thf(func_def_23, type, prefer1801827867axioms: !>[X0: $tType]:(set @ X0 > set @ product_prod @ X0 @ X0 > $o)).
% 0.23/0.51 thf(func_def_24, type, product_Pair: !>[X0: $tType, X1: $tType]:(X0 > X1 > product_prod @ X0 @ X1)).
% 0.23/0.51 thf(func_def_25, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2)).
% 0.23/0.51 thf(func_def_26, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2)).
% 0.23/0.51 thf(func_def_27, type, product_fst: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X0)).
% 0.23/0.51 thf(func_def_28, type, product_snd: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > X1)).
% 0.23/0.51 thf(func_def_29, type, product_swap: !>[X0: $tType, X1: $tType]:(product_prod @ X0 @ X1 > product_prod @ X1 @ X0)).
% 0.23/0.51 thf(func_def_30, type, domain: !>[X0: $tType, X1: $tType]:(set @ product_prod @ X0 @ X1 > set @ X0)).
% 0.23/0.51 thf(func_def_31, type, id_on: !>[X0: $tType]:(set @ X0 > set @ product_prod @ X0 @ X0)).
% 0.23/0.51 thf(func_def_32, type, range: !>[X0: $tType, X1: $tType]:(set @ product_prod @ X0 @ X1 > set @ X1)).
% 0.23/0.51 thf(func_def_33, type, refl_on: !>[X0: $tType]:(set @ X0 > set @ product_prod @ X0 @ X0 > $o)).
% 0.23/0.51 thf(func_def_34, type, total_on: !>[X0: $tType]:(set @ X0 > set @ product_prod @ X0 @ X0 > $o)).
% 0.23/0.51 thf(func_def_35, type, trans: !>[X0: $tType]:(set @ product_prod @ X0 @ X0 > $o)).
% 0.23/0.51 thf(func_def_36, type, collect: !>[X0: $tType]:((X0 > $o) > set @ X0)).
% 0.23/0.51 thf(func_def_37, type, insert: !>[X0: $tType]:(X0 > set @ X0 > set @ X0)).
% 0.23/0.51 thf(func_def_38, type, is_empty: !>[X0: $tType]:(set @ X0 > $o)).
% 0.23/0.51 thf(func_def_39, type, is_singleton: !>[X0: $tType]:(set @ X0 > $o)).
% 0.23/0.51 thf(func_def_40, type, the_elem: !>[X0: $tType]:(set @ X0 > X0)).
% 0.23/0.51 thf(func_def_41, type, member: !>[X0: $tType]:(X0 > set @ X0 > $o)).
% 0.23/0.51 thf(func_def_42, type, carrier: set @ a).
% 0.23/0.51 thf(func_def_43, type, relation: set @ product_prod @ a @ a).
% 0.23/0.51 thf(func_def_44, type, y: a).
% 0.23/0.51 thf(func_def_45, type, z: a).
% 0.23/0.51 thf(func_def_61, type, sK0: !>[X0: $tType, X1: $tType]:((X1 > X0) > (X1 > X0) > X1)).
% 0.23/0.51 thf(f810,plain,(
% 0.23/0.51 $false),
% 0.23/0.51 inference(avatar_sat_refutation,[],[f801,f807,f809])).
% 0.23/0.51 thf(f809,plain,(
% 0.23/0.51 spl1_1),
% 0.23/0.51 inference(avatar_contradiction_clause,[],[f808])).
% 0.23/0.51 thf(f808,plain,(
% 0.23/0.51 $false | spl1_1),
% 0.23/0.51 inference(subsumption_resolution,[],[f805,f796])).
% 0.23/0.51 thf(f796,plain,(
% 0.23/0.51 ((member @ a @ z @ carrier) != $true) | spl1_1),
% 0.23/0.51 inference(avatar_component_clause,[],[f794])).
% 0.23/0.51 thf(f794,plain,(
% 0.23/0.51 spl1_1 <=> ((member @ a @ z @ carrier) = $true)),
% 0.23/0.51 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
% 0.23/0.51 thf(f805,plain,(
% 0.23/0.51 ((member @ a @ z @ carrier) = $true)),
% 0.23/0.51 inference(trivial_inequality_removal,[],[f803])).
% 0.23/0.51 thf(f803,plain,(
% 0.23/0.51 ($true != $true) | ((member @ a @ z @ carrier) = $true)),
% 0.23/0.51 inference(superposition,[],[f781,f784])).
% 0.23/0.51 thf(f784,plain,(
% 0.23/0.51 ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ z @ y) @ relation) = $true)),
% 0.23/0.51 inference(cnf_transformation,[],[f344])).
% 0.23/0.51 thf(f344,plain,(
% 0.23/0.51 ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ y @ z) @ relation) = $true) & ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ z @ y) @ relation) = $true)),
% 0.23/0.51 inference(fool_elimination,[],[f343])).
% 0.23/0.51 thf(f343,plain,(
% 0.23/0.51 (member @ product_prod @ a @ a @ (product_Pair @ a @ a @ y @ z) @ relation) & (member @ product_prod @ a @ a @ (product_Pair @ a @ a @ z @ y) @ relation)),
% 0.23/0.51 inference(rectify,[],[f1])).
% 0.23/0.51 thf(f1,axiom,(
% 0.23/0.51 (member @ product_prod @ a @ a @ (product_Pair @ a @ a @ y @ z) @ relation) & (member @ product_prod @ a @ a @ (product_Pair @ a @ a @ z @ y) @ relation)),
% 0.23/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms)).
% 0.23/0.51 thf(f781,plain,(
% 0.23/0.51 ( ! [X0 : a,X1 : a] : (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X0 @ X1) @ relation) != $true) | ((member @ a @ X0 @ carrier) = $true)) )),
% 0.23/0.51 inference(cnf_transformation,[],[f756])).
% 0.23/0.51 thf(f756,plain,(
% 0.23/0.51 ! [X0 : a,X1 : a] : (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X0 @ X1) @ relation) != $true) | ((member @ a @ X0 @ carrier) = $true))),
% 0.23/0.51 inference(ennf_transformation,[],[f706])).
% 0.23/0.51 thf(f706,plain,(
% 0.23/0.51 ! [X0 : a,X1 : a] : (((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X0 @ X1) @ relation) = $true) => ((member @ a @ X0 @ carrier) = $true))),
% 0.23/0.51 inference(fool_elimination,[],[f705])).
% 0.23/0.51 thf(f705,plain,(
% 0.23/0.51 ! [X0 : a,X1 : a] : ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X0 @ X1) @ relation) => (member @ a @ X0 @ carrier))),
% 0.23/0.51 inference(rectify,[],[f9])).
% 0.23/0.51 thf(f9,axiom,(
% 0.23/0.51 ! [X6 : a,X7 : a] : ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ X6 @ X7) @ relation) => (member @ a @ X6 @ carrier))),
% 0.23/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_not__outside)).
% 0.23/0.51 thf(f807,plain,(
% 0.23/0.51 spl1_2),
% 0.23/0.51 inference(avatar_split_clause,[],[f806,f798])).
% 0.23/0.51 thf(f798,plain,(
% 0.23/0.51 spl1_2 <=> ((member @ a @ y @ carrier) = $true)),
% 0.23/0.51 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
% 0.23/0.51 thf(f806,plain,(
% 0.23/0.51 ((member @ a @ y @ carrier) = $true)),
% 0.23/0.51 inference(trivial_inequality_removal,[],[f804])).
% 0.23/0.51 thf(f804,plain,(
% 0.23/0.51 ((member @ a @ y @ carrier) = $true) | ($true != $true)),
% 0.23/0.51 inference(superposition,[],[f781,f785])).
% 0.23/0.51 thf(f785,plain,(
% 0.23/0.51 ((member @ product_prod @ a @ a @ (product_Pair @ a @ a @ y @ z) @ relation) = $true)),
% 0.23/0.51 inference(cnf_transformation,[],[f344])).
% 0.23/0.51 thf(f801,plain,(
% 0.23/0.51 ~spl1_1 | ~spl1_2),
% 0.23/0.51 inference(avatar_split_clause,[],[f780,f798,f794])).
% 0.23/0.51 thf(f780,plain,(
% 0.23/0.51 ((member @ a @ y @ carrier) != $true) | ((member @ a @ z @ carrier) != $true)),
% 0.23/0.51 inference(cnf_transformation,[],[f766])).
% 0.23/0.51 thf(f766,plain,(
% 0.23/0.51 ((member @ a @ z @ carrier) != $true) | ((member @ a @ y @ carrier) != $true)),
% 0.23/0.51 inference(ennf_transformation,[],[f394])).
% 0.23/0.51 thf(f394,plain,(
% 0.23/0.51 ~(((member @ a @ z @ carrier) = $true) & ((member @ a @ y @ carrier) = $true))),
% 0.23/0.51 inference(fool_elimination,[],[f393])).
% 0.23/0.51 thf(f393,plain,(
% 0.23/0.51 ~((member @ a @ z @ carrier) & (member @ a @ y @ carrier))),
% 0.23/0.51 inference(rectify,[],[f279])).
% 0.23/0.51 thf(f279,negated_conjecture,(
% 0.23/0.51 ~((member @ a @ z @ carrier) & (member @ a @ y @ carrier))),
% 0.23/0.51 inference(negated_conjecture,[],[f278])).
% 0.23/0.51 thf(f278,conjecture,(
% 0.23/0.51 (member @ a @ z @ carrier) & (member @ a @ y @ carrier)),
% 0.23/0.51 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.23/0.51 % SZS output end Proof for theBenchmark
% 0.23/0.51 % (32297)------------------------------
% 0.23/0.51 % (32297)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.51 % (32297)Termination reason: Refutation
% 0.23/0.51
% 0.23/0.51 % (32297)Memory used [KB]: 6396
% 0.23/0.51 % (32297)Time elapsed: 0.032 s
% 0.23/0.51 % (32297)Instructions burned: 45 (million)
% 0.23/0.51 % (32297)------------------------------
% 0.23/0.51 % (32297)------------------------------
% 0.23/0.51 % (32276)Success in time 0.122 s
% 0.23/0.51 % Vampire---4.8 exiting
%------------------------------------------------------------------------------