TSTP Solution File: SYO449^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYO449^1 : TPTP v8.2.0. Released v4.0.0.
% 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 : n008.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 09:04:29 EDT 2024
% Result : Theorem 0.21s 0.47s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO449^1 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14 % 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
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 20 08:42:38 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 This is a TH0_THM_EQU_NAR problem
% 0.14/0.34 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/benchmark/theBenchmark.p
% 0.14/0.36 % (24558)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.37 % (24565)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)
% 0.14/0.37 % (24564)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.37 % (24565)Instruction limit reached!
% 0.14/0.37 % (24565)------------------------------
% 0.14/0.37 % (24565)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (24565)Termination reason: Unknown
% 0.14/0.37 % (24565)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (24565)Memory used [KB]: 1023
% 0.14/0.37 % (24565)Time elapsed: 0.004 s
% 0.14/0.37 % (24565)Instructions burned: 3 (million)
% 0.14/0.37 % (24565)------------------------------
% 0.14/0.37 % (24565)------------------------------
% 0.14/0.37 % (24560)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)
% 0.14/0.37 % (24559)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)
% 0.14/0.37 % (24559)Instruction limit reached!
% 0.14/0.37 % (24559)------------------------------
% 0.14/0.37 % (24559)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37 % (24559)Termination reason: Unknown
% 0.14/0.37 % (24559)Termination phase: shuffling
% 0.14/0.37
% 0.14/0.37 % (24559)Memory used [KB]: 1023
% 0.14/0.37 % (24559)Time elapsed: 0.004 s
% 0.14/0.37 % (24559)Instructions burned: 6 (million)
% 0.14/0.37 % (24559)------------------------------
% 0.14/0.37 % (24559)------------------------------
% 0.14/0.38 % (24564)Instruction limit reached!
% 0.14/0.38 % (24564)------------------------------
% 0.14/0.38 % (24564)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (24564)Termination reason: Unknown
% 0.14/0.38 % (24564)Termination phase: Saturation
% 0.14/0.38
% 0.14/0.38 % (24564)Memory used [KB]: 5628
% 0.14/0.38 % (24564)Time elapsed: 0.011 s
% 0.14/0.38 % (24564)Instructions burned: 19 (million)
% 0.14/0.38 % (24564)------------------------------
% 0.14/0.38 % (24564)------------------------------
% 0.14/0.38 % (24563)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)
% 0.14/0.38 % (24561)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38 % (24561)Instruction limit reached!
% 0.14/0.38 % (24561)------------------------------
% 0.14/0.38 % (24561)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (24561)Termination reason: Unknown
% 0.14/0.38 % (24561)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (24561)Memory used [KB]: 1023
% 0.14/0.38 % (24561)Time elapsed: 0.003 s
% 0.14/0.38 % (24561)Instructions burned: 2 (million)
% 0.14/0.38 % (24561)------------------------------
% 0.14/0.38 % (24561)------------------------------
% 0.14/0.38 % (24562)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)
% 0.14/0.38 % (24562)Instruction limit reached!
% 0.14/0.38 % (24562)------------------------------
% 0.14/0.38 % (24562)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (24562)Termination reason: Unknown
% 0.14/0.38 % (24562)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (24562)Memory used [KB]: 1023
% 0.14/0.38 % (24562)Time elapsed: 0.003 s
% 0.14/0.38 % (24562)Instructions burned: 2 (million)
% 0.14/0.38 % (24562)------------------------------
% 0.14/0.38 % (24562)------------------------------
% 0.14/0.38 % (24563)Refutation not found, incomplete strategy
% 0.14/0.38 % (24563)------------------------------
% 0.14/0.38 % (24563)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (24563)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38
% 0.14/0.38 % (24563)Memory used [KB]: 5628
% 0.14/0.38 % (24563)Time elapsed: 0.007 s
% 0.14/0.38 % (24563)Instructions burned: 9 (million)
% 0.14/0.38 % (24563)------------------------------
% 0.14/0.38 % (24563)------------------------------
% 0.14/0.39 % (24560)Instruction limit reached!
% 0.14/0.39 % (24560)------------------------------
% 0.14/0.39 % (24560)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (24560)Termination reason: Unknown
% 0.14/0.39 % (24560)Termination phase: Saturation
% 0.14/0.39
% 0.14/0.39 % (24560)Memory used [KB]: 5756
% 0.14/0.39 % (24560)Time elapsed: 0.016 s
% 0.14/0.39 % (24560)Instructions burned: 27 (million)
% 0.14/0.39 % (24560)------------------------------
% 0.14/0.39 % (24560)------------------------------
% 0.14/0.39 % (24566)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)
% 0.14/0.39 % (24568)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)
% 0.14/0.39 % (24568)Instruction limit reached!
% 0.14/0.39 % (24568)------------------------------
% 0.14/0.39 % (24568)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (24568)Termination reason: Unknown
% 0.14/0.39 % (24568)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (24568)Memory used [KB]: 1023
% 0.14/0.39 % (24568)Time elapsed: 0.003 s
% 0.14/0.39 % (24568)Instructions burned: 3 (million)
% 0.14/0.39 % (24568)------------------------------
% 0.14/0.39 % (24568)------------------------------
% 0.14/0.39 % (24567)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)
% 0.21/0.40 % (24570)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.40 % (24571)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.40 % (24567)Instruction limit reached!
% 0.21/0.40 % (24567)------------------------------
% 0.21/0.40 % (24567)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (24567)Termination reason: Unknown
% 0.21/0.40 % (24567)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (24567)Memory used [KB]: 5628
% 0.21/0.40 % (24567)Time elapsed: 0.010 s
% 0.21/0.40 % (24567)Instructions burned: 16 (million)
% 0.21/0.40 % (24567)------------------------------
% 0.21/0.40 % (24567)------------------------------
% 0.21/0.40 % (24570)Instruction limit reached!
% 0.21/0.40 % (24570)------------------------------
% 0.21/0.40 % (24570)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (24570)Termination reason: Unknown
% 0.21/0.40 % (24570)Termination phase: Property scanning
% 0.21/0.40
% 0.21/0.40 % (24570)Memory used [KB]: 1023
% 0.21/0.40 % (24570)Time elapsed: 0.006 s
% 0.21/0.40 % (24570)Instructions burned: 8 (million)
% 0.21/0.40 % (24570)------------------------------
% 0.21/0.40 % (24570)------------------------------
% 0.21/0.40 % (24569)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)
% 0.21/0.40 % (24572)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)
% 0.21/0.40 % (24572)Instruction limit reached!
% 0.21/0.40 % (24572)------------------------------
% 0.21/0.40 % (24572)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (24572)Termination reason: Unknown
% 0.21/0.40 % (24572)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (24572)Memory used [KB]: 1023
% 0.21/0.40 % (24572)Time elapsed: 0.003 s
% 0.21/0.40 % (24572)Instructions burned: 3 (million)
% 0.21/0.40 % (24572)------------------------------
% 0.21/0.40 % (24572)------------------------------
% 0.21/0.40 % (24566)Instruction limit reached!
% 0.21/0.40 % (24566)------------------------------
% 0.21/0.40 % (24566)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (24566)Termination reason: Unknown
% 0.21/0.40 % (24566)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (24566)Memory used [KB]: 5756
% 0.21/0.40 % (24566)Time elapsed: 0.018 s
% 0.21/0.40 % (24566)Instructions burned: 37 (million)
% 0.21/0.40 % (24566)------------------------------
% 0.21/0.40 % (24566)------------------------------
% 0.21/0.41 % (24573)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)
% 0.21/0.41 % (24573)Instruction limit reached!
% 0.21/0.41 % (24573)------------------------------
% 0.21/0.41 % (24573)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (24573)Termination reason: Unknown
% 0.21/0.41 % (24573)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (24573)Memory used [KB]: 1023
% 0.21/0.41 % (24573)Time elapsed: 0.003 s
% 0.21/0.41 % (24573)Instructions burned: 3 (million)
% 0.21/0.41 % (24573)------------------------------
% 0.21/0.41 % (24573)------------------------------
% 0.21/0.41 % (24571)Instruction limit reached!
% 0.21/0.41 % (24571)------------------------------
% 0.21/0.41 % (24571)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (24571)Termination reason: Unknown
% 0.21/0.41 % (24571)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (24571)Memory used [KB]: 5884
% 0.21/0.41 % (24571)Time elapsed: 0.012 s
% 0.21/0.41 % (24571)Instructions burned: 16 (million)
% 0.21/0.41 % (24571)------------------------------
% 0.21/0.41 % (24571)------------------------------
% 0.21/0.41 % (24574)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)
% 0.21/0.41 % (24575)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)
% 0.21/0.42 % (24575)Instruction limit reached!
% 0.21/0.42 % (24575)------------------------------
% 0.21/0.42 % (24575)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (24575)Termination reason: Unknown
% 0.21/0.42 % (24575)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (24575)Memory used [KB]: 1023
% 0.21/0.42 % (24575)Time elapsed: 0.004 s
% 0.21/0.42 % (24575)Instructions burned: 4 (million)
% 0.21/0.42 % (24575)------------------------------
% 0.21/0.42 % (24575)------------------------------
% 0.21/0.42 % (24574)Instruction limit reached!
% 0.21/0.42 % (24574)------------------------------
% 0.21/0.42 % (24574)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (24574)Termination reason: Unknown
% 0.21/0.42 % (24574)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (24574)Memory used [KB]: 1023
% 0.21/0.42 % (24574)Time elapsed: 0.005 s
% 0.21/0.42 % (24574)Instructions burned: 8 (million)
% 0.21/0.42 % (24574)------------------------------
% 0.21/0.42 % (24574)------------------------------
% 0.21/0.42 % (24576)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.42 % (24577)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)
% 0.21/0.42 % (24576)Instruction limit reached!
% 0.21/0.42 % (24576)------------------------------
% 0.21/0.42 % (24576)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (24576)Termination reason: Unknown
% 0.21/0.42 % (24576)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (24576)Memory used [KB]: 1023
% 0.21/0.42 % (24576)Time elapsed: 0.004 s
% 0.21/0.42 % (24576)Instructions burned: 5 (million)
% 0.21/0.42 % (24578)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.42 % (24576)------------------------------
% 0.21/0.42 % (24576)------------------------------
% 0.21/0.42 % (24579)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.42 % (24581)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)
% 0.21/0.43 % (24578)Refutation not found, incomplete strategy
% 0.21/0.43 % (24578)------------------------------
% 0.21/0.43 % (24578)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (24578)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.43
% 0.21/0.43
% 0.21/0.43 % (24578)Memory used [KB]: 5628
% 0.21/0.43 % (24578)Time elapsed: 0.007 s
% 0.21/0.43 % (24578)Instructions burned: 12 (million)
% 0.21/0.43 % (24578)------------------------------
% 0.21/0.43 % (24578)------------------------------
% 0.21/0.43 % (24579)Instruction limit reached!
% 0.21/0.43 % (24579)------------------------------
% 0.21/0.43 % (24579)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (24579)Termination reason: Unknown
% 0.21/0.43 % (24579)Termination phase: Preprocessing 3
% 0.21/0.43
% 0.21/0.43 % (24579)Memory used [KB]: 1023
% 0.21/0.43 % (24579)Time elapsed: 0.007 s
% 0.21/0.43 % (24579)Instructions burned: 6 (million)
% 0.21/0.43 % (24579)------------------------------
% 0.21/0.43 % (24579)------------------------------
% 0.21/0.43 % (24577)Instruction limit reached!
% 0.21/0.43 % (24577)------------------------------
% 0.21/0.43 % (24577)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (24577)Termination reason: Unknown
% 0.21/0.43 % (24577)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (24577)Memory used [KB]: 5628
% 0.21/0.43 % (24577)Time elapsed: 0.011 s
% 0.21/0.43 % (24577)Instructions burned: 18 (million)
% 0.21/0.43 % (24577)------------------------------
% 0.21/0.43 % (24577)------------------------------
% 0.21/0.43 % (24580)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)
% 0.21/0.43 % (24581)Instruction limit reached!
% 0.21/0.43 % (24581)------------------------------
% 0.21/0.43 % (24581)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (24581)Termination reason: Unknown
% 0.21/0.43 % (24581)Termination phase: Saturation
% 0.21/0.43
% 0.21/0.43 % (24581)Memory used [KB]: 5628
% 0.21/0.43 % (24581)Time elapsed: 0.008 s
% 0.21/0.43 % (24581)Instructions burned: 22 (million)
% 0.21/0.43 % (24581)------------------------------
% 0.21/0.43 % (24581)------------------------------
% 0.21/0.44 % (24580)Refutation not found, incomplete strategy
% 0.21/0.44 % (24580)------------------------------
% 0.21/0.44 % (24580)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (24580)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.44
% 0.21/0.44
% 0.21/0.44 % (24580)Memory used [KB]: 5628
% 0.21/0.44 % (24580)Time elapsed: 0.007 s
% 0.21/0.44 % (24580)Instructions burned: 9 (million)
% 0.21/0.44 % (24580)------------------------------
% 0.21/0.44 % (24580)------------------------------
% 0.21/0.44 % (24582)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.44 % (24582)Instruction limit reached!
% 0.21/0.44 % (24582)------------------------------
% 0.21/0.44 % (24582)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (24582)Termination reason: Unknown
% 0.21/0.44 % (24582)Termination phase: Property scanning
% 0.21/0.44
% 0.21/0.44 % (24582)Memory used [KB]: 1023
% 0.21/0.44 % (24582)Time elapsed: 0.004 s
% 0.21/0.44 % (24582)Instructions burned: 5 (million)
% 0.21/0.44 % (24582)------------------------------
% 0.21/0.44 % (24582)------------------------------
% 0.21/0.44 % (24586)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.21/0.44 % (24583)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 (2999ds/6Mi)
% 0.21/0.44 % (24586)Refutation not found, incomplete strategy
% 0.21/0.44 % (24586)------------------------------
% 0.21/0.44 % (24586)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (24586)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.44
% 0.21/0.44
% 0.21/0.44 % (24586)Memory used [KB]: 5628
% 0.21/0.44 % (24586)Time elapsed: 0.004 s
% 0.21/0.44 % (24586)Instructions burned: 10 (million)
% 0.21/0.44 % (24586)------------------------------
% 0.21/0.44 % (24586)------------------------------
% 0.21/0.44 % (24585)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.21/0.44 % (24583)Instruction limit reached!
% 0.21/0.44 % (24583)------------------------------
% 0.21/0.44 % (24583)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (24583)Termination reason: Unknown
% 0.21/0.44 % (24583)Termination phase: SInE selection
% 0.21/0.44
% 0.21/0.44 % (24583)Memory used [KB]: 1023
% 0.21/0.44 % (24583)Time elapsed: 0.004 s
% 0.21/0.44 % (24583)Instructions burned: 6 (million)
% 0.21/0.44 % (24583)------------------------------
% 0.21/0.44 % (24583)------------------------------
% 0.21/0.45 % (24587)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.21/0.45 % (24589)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.21/0.45 % (24584)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.21/0.45 % (24589)Instruction limit reached!
% 0.21/0.45 % (24589)------------------------------
% 0.21/0.45 % (24589)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (24589)Termination reason: Unknown
% 0.21/0.45 % (24589)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (24589)Memory used [KB]: 1023
% 0.21/0.45 % (24589)Time elapsed: 0.002 s
% 0.21/0.45 % (24589)Instructions burned: 3 (million)
% 0.21/0.45 % (24589)------------------------------
% 0.21/0.45 % (24589)------------------------------
% 0.21/0.46 % (24588)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.21/0.46 % (24591)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on theBenchmark for (2998ds/127Mi)
% 0.21/0.46 % (24590)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.21/0.46 % (24569)First to succeed.
% 0.21/0.46 % (24588)Instruction limit reached!
% 0.21/0.46 % (24588)------------------------------
% 0.21/0.46 % (24588)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.46 % (24588)Termination reason: Unknown
% 0.21/0.46 % (24588)Termination phase: Saturation
% 0.21/0.46
% 0.21/0.46 % (24588)Memory used [KB]: 5628
% 0.21/0.46 % (24588)Time elapsed: 0.010 s
% 0.21/0.46 % (24588)Instructions burned: 18 (million)
% 0.21/0.46 % (24588)------------------------------
% 0.21/0.46 % (24588)------------------------------
% 0.21/0.47 % (24569)Refutation found. Thanks to Tanya!
% 0.21/0.47 % SZS status Theorem for theBenchmark
% 0.21/0.47 % SZS output start Proof for theBenchmark
% 0.21/0.47 thf(type_def_5, type, mu: $tType).
% 0.21/0.47 thf(func_def_0, type, mu: $tType).
% 0.21/0.47 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.21/0.47 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.47 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.21/0.47 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.47 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.47 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.47 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.47 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.47 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.47 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.21/0.47 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.21/0.47 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.21/0.47 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.21/0.47 thf(func_def_15, type, mtrue: $i > $o).
% 0.21/0.47 thf(func_def_16, type, mfalse: $i > $o).
% 0.21/0.47 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.21/0.47 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.21/0.47 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.21/0.47 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.21/0.47 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.21/0.47 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.21/0.47 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.21/0.47 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.21/0.47 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.21/0.47 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.21/0.47 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.21/0.47 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.21/0.47 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.21/0.47 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.21/0.47 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.21/0.47 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.21/0.47 thf(func_def_33, type, rel_s5: $i > $i > $o).
% 0.21/0.47 thf(func_def_34, type, mbox_s5: ($i > $o) > $i > $o).
% 0.21/0.47 thf(func_def_35, type, mdia_s5: ($i > $o) > $i > $o).
% 0.21/0.47 thf(func_def_36, type, p: $i > $o).
% 0.21/0.47 thf(func_def_37, type, q: $i > $o).
% 0.21/0.47 thf(func_def_54, type, ph1: !>[X0: $tType]:(X0)).
% 0.21/0.47 thf(f1131,plain,(
% 0.21/0.47 $false),
% 0.21/0.47 inference(avatar_sat_refutation,[],[f264,f917,f1130])).
% 0.21/0.47 thf(f1130,plain,(
% 0.21/0.47 ~spl0_1),
% 0.21/0.47 inference(avatar_contradiction_clause,[],[f1129])).
% 0.21/0.47 thf(f1129,plain,(
% 0.21/0.47 $false | ~spl0_1),
% 0.21/0.47 inference(trivial_inequality_removal,[],[f1128])).
% 0.21/0.47 thf(f1128,plain,(
% 0.21/0.47 ($true = $false) | ~spl0_1),
% 0.21/0.47 inference(boolean_simplification,[],[f1127])).
% 0.21/0.47 thf(f1127,plain,(
% 0.21/0.47 ((~ $true) = $true) | ~spl0_1),
% 0.21/0.47 inference(forward_demodulation,[],[f1114,f1031])).
% 0.21/0.47 thf(f1031,plain,(
% 0.21/0.47 ((rel_s5 @ sK6 @ sK5) = $true) | ~spl0_1),
% 0.21/0.47 inference(boolean_simplification,[],[f1028])).
% 0.21/0.47 thf(f1028,plain,(
% 0.21/0.47 (($true => (rel_s5 @ sK6 @ sK5)) = $true) | ~spl0_1),
% 0.21/0.47 inference(superposition,[],[f172,f1022])).
% 0.21/0.47 thf(f1022,plain,(
% 0.21/0.47 ($true = (rel_s5 @ sK5 @ sK6)) | ~spl0_1),
% 0.21/0.47 inference(not_proxy_clausification,[],[f973])).
% 0.21/0.47 thf(f973,plain,(
% 0.21/0.47 ((~ (rel_s5 @ sK5 @ sK6)) = $false) | ~spl0_1),
% 0.21/0.47 inference(binary_proxy_clausification,[],[f958])).
% 0.21/0.47 thf(f958,plain,(
% 0.21/0.47 ($false = ((q @ sK6) | (~ (rel_s5 @ sK5 @ sK6)))) | ~spl0_1),
% 0.21/0.47 inference(beta_eta_normalization,[],[f957])).
% 0.21/0.47 thf(f957,plain,(
% 0.21/0.47 (((^[Y0 : $i]: ((q @ Y0) | (~ (rel_s5 @ sK5 @ Y0)))) @ sK6) = $false) | ~spl0_1),
% 0.21/0.47 inference(sigma_clausification,[],[f937])).
% 0.21/0.47 thf(f937,plain,(
% 0.21/0.47 ($false = (!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s5 @ sK5 @ Y0)))))) | ~spl0_1),
% 0.21/0.47 inference(binary_proxy_clausification,[],[f932])).
% 0.21/0.47 thf(f932,plain,(
% 0.21/0.47 (((!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s5 @ sK5 @ Y0))))) | (~ (p @ sK5))) = $false) | ~spl0_1),
% 0.21/0.47 inference(boolean_simplification,[],[f931])).
% 0.21/0.47 thf(f931,plain,(
% 0.21/0.47 ((((!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s5 @ sK5 @ Y0))))) | (~ (p @ sK5))) | $false) = $false) | ~spl0_1),
% 0.21/0.47 inference(backward_demodulation,[],[f928,f929])).
% 0.21/0.47 thf(f929,plain,(
% 0.21/0.47 ($false = (~ (rel_s5 @ sK3 @ sK5))) | ~spl0_1),
% 0.21/0.47 inference(binary_proxy_clausification,[],[f928])).
% 0.21/0.47 thf(f928,plain,(
% 0.21/0.47 ((((!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s5 @ sK5 @ Y0))))) | (~ (p @ sK5))) | (~ (rel_s5 @ sK3 @ sK5))) = $false) | ~spl0_1),
% 0.21/0.47 inference(beta_eta_normalization,[],[f927])).
% 0.21/0.47 thf(f927,plain,(
% 0.21/0.47 ($false = ((^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((q @ Y1) | (~ (rel_s5 @ Y0 @ Y1))))) | (~ (p @ Y0))) | (~ (rel_s5 @ sK3 @ Y0)))) @ sK5)) | ~spl0_1),
% 0.21/0.47 inference(sigma_clausification,[],[f926])).
% 0.21/0.47 thf(f926,plain,(
% 0.21/0.47 ($false = (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((q @ Y1) | (~ (rel_s5 @ Y0 @ Y1))))) | (~ (p @ Y0))) | (~ (rel_s5 @ sK3 @ Y0)))))) | ~spl0_1),
% 0.21/0.47 inference(boolean_simplification,[],[f925])).
% 0.21/0.47 thf(f925,plain,(
% 0.21/0.47 (((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((q @ Y1) | (~ (rel_s5 @ Y0 @ Y1))))) | (~ (p @ Y0))) | (~ (rel_s5 @ sK3 @ Y0))))) | $false) = $false) | ~spl0_1),
% 0.21/0.47 inference(backward_demodulation,[],[f920,f923])).
% 0.21/0.47 thf(f923,plain,(
% 0.21/0.47 ((~ (!! @ $i @ (^[Y0 : $i]: (((q @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((~ (p @ Y1)) | (~ (rel_s5 @ Y0 @ Y1)))))) | (~ (rel_s5 @ sK3 @ Y0)))))) = $false) | ~spl0_1),
% 0.21/0.47 inference(binary_proxy_clausification,[],[f920])).
% 0.21/0.47 thf(f920,plain,(
% 0.21/0.47 (((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((q @ Y1) | (~ (rel_s5 @ Y0 @ Y1))))) | (~ (p @ Y0))) | (~ (rel_s5 @ sK3 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((q @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((~ (p @ Y1)) | (~ (rel_s5 @ Y0 @ Y1)))))) | (~ (rel_s5 @ sK3 @ Y0))))))) = $false) | ~spl0_1),
% 0.21/0.47 inference(not_proxy_clausification,[],[f260])).
% 0.21/0.47 thf(f260,plain,(
% 0.21/0.47 ((~ ((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((q @ Y1) | (~ (rel_s5 @ Y0 @ Y1))))) | (~ (p @ Y0))) | (~ (rel_s5 @ sK3 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((q @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((~ (p @ Y1)) | (~ (rel_s5 @ Y0 @ Y1)))))) | (~ (rel_s5 @ sK3 @ Y0)))))))) = $true) | ~spl0_1),
% 0.21/0.47 inference(avatar_component_clause,[],[f259])).
% 0.21/0.47 thf(f259,plain,(
% 0.21/0.47 spl0_1 <=> ((~ ((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((q @ Y1) | (~ (rel_s5 @ Y0 @ Y1))))) | (~ (p @ Y0))) | (~ (rel_s5 @ sK3 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((q @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((~ (p @ Y1)) | (~ (rel_s5 @ Y0 @ Y1)))))) | (~ (rel_s5 @ sK3 @ Y0)))))))) = $true)),
% 0.21/0.47 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.21/0.47 thf(f172,plain,(
% 0.21/0.47 ( ! [X2 : $i,X1 : $i] : (($true = ((rel_s5 @ X2 @ X1) => (rel_s5 @ X1 @ X2)))) )),
% 0.21/0.47 inference(beta_eta_normalization,[],[f171])).
% 0.21/0.47 thf(f171,plain,(
% 0.21/0.47 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((rel_s5 @ Y0 @ X1) => (rel_s5 @ X1 @ Y0))) @ X2) = $true)) )),
% 0.21/0.47 inference(pi_clausification,[],[f170])).
% 0.21/0.47 thf(f170,plain,(
% 0.21/0.47 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((rel_s5 @ Y0 @ X1) => (rel_s5 @ X1 @ Y0)))))) )),
% 0.21/0.47 inference(beta_eta_normalization,[],[f169])).
% 0.21/0.47 thf(f169,plain,(
% 0.21/0.47 ( ! [X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel_s5 @ Y1 @ Y0) => (rel_s5 @ Y0 @ Y1))))) @ X1) = $true)) )),
% 0.21/0.47 inference(pi_clausification,[],[f165])).
% 0.21/0.47 thf(f165,plain,(
% 0.21/0.47 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((rel_s5 @ Y1 @ Y0) => (rel_s5 @ Y0 @ Y1)))))) = $true)),
% 0.21/0.47 inference(beta_eta_normalization,[],[f161])).
% 0.21/0.47 thf(f161,plain,(
% 0.21/0.47 (((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))) @ rel_s5) = $true)),
% 0.21/0.47 inference(definition_unfolding,[],[f145,f129])).
% 0.21/0.47 thf(f129,plain,(
% 0.21/0.47 (msymmetric = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))))),
% 0.21/0.47 inference(cnf_transformation,[],[f100])).
% 0.21/0.47 thf(f100,plain,(
% 0.21/0.47 (msymmetric = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2 @ Y1) => (Y0 @ Y1 @ Y2))))))))),
% 0.21/0.47 inference(fool_elimination,[],[f99])).
% 0.21/0.47 thf(f99,plain,(
% 0.21/0.47 ((^[X0 : $i > $i > $o] : (! [X1,X2] : ((X0 @ X1 @ X2) => (X0 @ X2 @ X1)))) = msymmetric)),
% 0.21/0.47 inference(rectify,[],[f19])).
% 0.21/0.47 thf(f19,axiom,(
% 0.21/0.47 ((^[X6 : $i > $i > $o] : (! [X8,X9] : ((X6 @ X8 @ X9) => (X6 @ X9 @ X8)))) = msymmetric)),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',msymmetric)).
% 0.21/0.47 thf(f145,plain,(
% 0.21/0.47 ((msymmetric @ rel_s5) = $true)),
% 0.21/0.47 inference(cnf_transformation,[],[f43])).
% 0.21/0.47 thf(f43,plain,(
% 0.21/0.47 ((msymmetric @ rel_s5) = $true)),
% 0.21/0.47 inference(fool_elimination,[],[f42])).
% 0.21/0.47 thf(f42,plain,(
% 0.21/0.47 (msymmetric @ rel_s5)),
% 0.21/0.47 inference(rectify,[],[f36])).
% 0.21/0.47 thf(f36,axiom,(
% 0.21/0.47 (msymmetric @ rel_s5)),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3)).
% 0.21/0.47 thf(f1114,plain,(
% 0.21/0.47 ((~ (rel_s5 @ sK6 @ sK5)) = $true) | ~spl0_1),
% 0.21/0.47 inference(boolean_simplification,[],[f1113])).
% 0.21/0.47 thf(f1113,plain,(
% 0.21/0.47 (($false | (~ (rel_s5 @ sK6 @ sK5))) = $true) | ~spl0_1),
% 0.21/0.47 inference(boolean_simplification,[],[f1110])).
% 0.21/0.47 thf(f1110,plain,(
% 0.21/0.47 ($true = ((~ $true) | (~ (rel_s5 @ sK6 @ sK5)))) | ~spl0_1),
% 0.21/0.47 inference(superposition,[],[f1080,f940])).
% 0.21/0.47 thf(f940,plain,(
% 0.21/0.47 ((p @ sK5) = $true) | ~spl0_1),
% 0.21/0.47 inference(not_proxy_clausification,[],[f939])).
% 0.21/0.47 thf(f939,plain,(
% 0.21/0.47 ((~ (p @ sK5)) = $false) | ~spl0_1),
% 0.21/0.47 inference(boolean_simplification,[],[f938])).
% 0.21/0.47 thf(f938,plain,(
% 0.21/0.47 (($false | (~ (p @ sK5))) = $false) | ~spl0_1),
% 0.21/0.47 inference(backward_demodulation,[],[f932,f937])).
% 0.21/0.47 thf(f1080,plain,(
% 0.21/0.47 ( ! [X1 : $i] : (($true = ((~ (p @ X1)) | (~ (rel_s5 @ sK6 @ X1))))) ) | ~spl0_1),
% 0.21/0.47 inference(beta_eta_normalization,[],[f1078])).
% 0.21/0.47 thf(f1078,plain,(
% 0.21/0.47 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((~ (p @ Y0)) | (~ (rel_s5 @ sK6 @ Y0)))) @ X1) = $true)) ) | ~spl0_1),
% 0.21/0.47 inference(pi_clausification,[],[f1077])).
% 0.21/0.47 thf(f1077,plain,(
% 0.21/0.47 ($true = (!! @ $i @ (^[Y0 : $i]: ((~ (p @ Y0)) | (~ (rel_s5 @ sK6 @ Y0)))))) | ~spl0_1),
% 0.21/0.47 inference(boolean_simplification,[],[f1076])).
% 0.21/0.47 thf(f1076,plain,(
% 0.21/0.47 (((!! @ $i @ (^[Y0 : $i]: ((~ (p @ Y0)) | (~ (rel_s5 @ sK6 @ Y0))))) | $false) = $true) | ~spl0_1),
% 0.21/0.47 inference(boolean_simplification,[],[f1075])).
% 0.21/0.47 thf(f1075,plain,(
% 0.21/0.47 (((!! @ $i @ (^[Y0 : $i]: ((~ (p @ Y0)) | (~ (rel_s5 @ sK6 @ Y0))))) | (~ $true)) = $true) | ~spl0_1),
% 0.21/0.47 inference(backward_demodulation,[],[f1015,f1073])).
% 0.21/0.47 thf(f1073,plain,(
% 0.21/0.47 ((rel_s5 @ sK3 @ sK6) = $true) | ~spl0_1),
% 0.21/0.47 inference(boolean_simplification,[],[f1067])).
% 0.21/0.47 thf(f1067,plain,(
% 0.21/0.47 (($true => (rel_s5 @ sK3 @ sK6)) = $true) | ~spl0_1),
% 0.21/0.47 inference(superposition,[],[f956,f1022])).
% 0.21/0.47 thf(f956,plain,(
% 0.21/0.47 ( ! [X0 : $i] : (($true = ((rel_s5 @ sK5 @ X0) => (rel_s5 @ sK3 @ X0)))) ) | ~spl0_1),
% 0.21/0.47 inference(boolean_simplification,[],[f946])).
% 0.21/0.47 thf(f946,plain,(
% 0.21/0.47 ( ! [X0 : $i] : (($true = (((rel_s5 @ sK5 @ X0) & $true) => (rel_s5 @ sK3 @ X0)))) ) | ~spl0_1),
% 0.21/0.47 inference(superposition,[],[f183,f933])).
% 0.21/0.47 thf(f933,plain,(
% 0.21/0.47 ($true = (rel_s5 @ sK3 @ sK5)) | ~spl0_1),
% 0.21/0.47 inference(not_proxy_clausification,[],[f929])).
% 0.21/0.47 thf(f183,plain,(
% 0.21/0.47 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((((rel_s5 @ X1 @ X3) & (rel_s5 @ X2 @ X1)) => (rel_s5 @ X2 @ X3)) = $true)) )),
% 0.21/0.47 inference(beta_eta_normalization,[],[f182])).
% 0.21/0.47 thf(f182,plain,(
% 0.21/0.47 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: (((rel_s5 @ X1 @ Y0) & (rel_s5 @ X2 @ X1)) => (rel_s5 @ X2 @ Y0))) @ X3))) )),
% 0.21/0.47 inference(pi_clausification,[],[f181])).
% 0.21/0.47 thf(f181,plain,(
% 0.21/0.47 ( ! [X2 : $i,X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (((rel_s5 @ X1 @ Y0) & (rel_s5 @ X2 @ X1)) => (rel_s5 @ X2 @ Y0)))) = $true)) )),
% 0.21/0.47 inference(beta_eta_normalization,[],[f180])).
% 0.21/0.47 thf(f180,plain,(
% 0.21/0.47 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((rel_s5 @ X1 @ Y1) & (rel_s5 @ Y0 @ X1)) => (rel_s5 @ Y0 @ Y1))))) @ X2) = $true)) )),
% 0.21/0.47 inference(pi_clausification,[],[f179])).
% 0.21/0.47 thf(f179,plain,(
% 0.21/0.47 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (((rel_s5 @ X1 @ Y1) & (rel_s5 @ Y0 @ X1)) => (rel_s5 @ Y0 @ Y1)))))) = $true)) )),
% 0.21/0.47 inference(beta_eta_normalization,[],[f178])).
% 0.21/0.47 thf(f178,plain,(
% 0.21/0.47 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rel_s5 @ Y0 @ Y2) & (rel_s5 @ Y1 @ Y0)) => (rel_s5 @ Y1 @ Y2))))))) @ X1))) )),
% 0.21/0.47 inference(pi_clausification,[],[f166])).
% 0.21/0.47 thf(f166,plain,(
% 0.21/0.47 ((!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (((rel_s5 @ Y0 @ Y2) & (rel_s5 @ Y1 @ Y0)) => (rel_s5 @ Y1 @ Y2)))))))) = $true)),
% 0.21/0.47 inference(beta_eta_normalization,[],[f159])).
% 0.21/0.47 thf(f159,plain,(
% 0.21/0.47 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))) @ rel_s5))),
% 0.21/0.47 inference(definition_unfolding,[],[f134,f121])).
% 0.21/0.47 thf(f121,plain,(
% 0.21/0.47 (mtransitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))))),
% 0.21/0.47 inference(cnf_transformation,[],[f106])).
% 0.21/0.47 thf(f106,plain,(
% 0.21/0.47 (mtransitive = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: (((Y0 @ Y1 @ Y3) & (Y0 @ Y2 @ Y1)) => (Y0 @ Y2 @ Y3))))))))))),
% 0.21/0.47 inference(fool_elimination,[],[f105])).
% 0.21/0.47 thf(f105,plain,(
% 0.21/0.47 (mtransitive = (^[X0 : $i > $i > $o] : (! [X1,X2,X3] : (((X0 @ X2 @ X3) & (X0 @ X3 @ X1)) => (X0 @ X2 @ X1)))))),
% 0.21/0.47 inference(rectify,[],[f21])).
% 0.21/0.47 thf(f21,axiom,(
% 0.21/0.47 (mtransitive = (^[X6 : $i > $i > $o] : (! [X10,X8,X9] : (((X6 @ X8 @ X9) & (X6 @ X9 @ X10)) => (X6 @ X8 @ X10)))))),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mtransitive)).
% 0.21/0.47 thf(f134,plain,(
% 0.21/0.47 ((mtransitive @ rel_s5) = $true)),
% 0.21/0.47 inference(cnf_transformation,[],[f78])).
% 0.21/0.47 thf(f78,plain,(
% 0.21/0.47 ((mtransitive @ rel_s5) = $true)),
% 0.21/0.47 inference(fool_elimination,[],[f77])).
% 0.21/0.47 thf(f77,plain,(
% 0.21/0.47 (mtransitive @ rel_s5)),
% 0.21/0.47 inference(rectify,[],[f35])).
% 0.21/0.47 thf(f35,axiom,(
% 0.21/0.47 (mtransitive @ rel_s5)),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2)).
% 0.21/0.47 thf(f1015,plain,(
% 0.21/0.47 ($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (p @ Y0)) | (~ (rel_s5 @ sK6 @ Y0))))) | (~ (rel_s5 @ sK3 @ sK6)))) | ~spl0_1),
% 0.21/0.47 inference(boolean_simplification,[],[f1014])).
% 0.21/0.47 thf(f1014,plain,(
% 0.21/0.47 ($true = (($false | (!! @ $i @ (^[Y0 : $i]: ((~ (p @ Y0)) | (~ (rel_s5 @ sK6 @ Y0)))))) | (~ (rel_s5 @ sK3 @ sK6)))) | ~spl0_1),
% 0.21/0.47 inference(superposition,[],[f995,f976])).
% 0.21/0.47 thf(f976,plain,(
% 0.21/0.47 ((q @ sK6) = $false) | ~spl0_1),
% 0.21/0.47 inference(boolean_simplification,[],[f975])).
% 0.21/0.47 thf(f975,plain,(
% 0.21/0.47 ($false = ((q @ sK6) | $false)) | ~spl0_1),
% 0.21/0.47 inference(backward_demodulation,[],[f958,f973])).
% 0.21/0.47 thf(f995,plain,(
% 0.21/0.47 ( ! [X1 : $i] : (((((q @ X1) | (!! @ $i @ (^[Y0 : $i]: ((~ (p @ Y0)) | (~ (rel_s5 @ X1 @ Y0)))))) | (~ (rel_s5 @ sK3 @ X1))) = $true)) ) | ~spl0_1),
% 0.21/0.47 inference(beta_eta_normalization,[],[f994])).
% 0.21/0.47 thf(f994,plain,(
% 0.21/0.47 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (((q @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((~ (p @ Y1)) | (~ (rel_s5 @ Y0 @ Y1)))))) | (~ (rel_s5 @ sK3 @ Y0)))) @ X1))) ) | ~spl0_1),
% 0.21/0.47 inference(pi_clausification,[],[f977])).
% 0.21/0.47 thf(f977,plain,(
% 0.21/0.47 ((!! @ $i @ (^[Y0 : $i]: (((q @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((~ (p @ Y1)) | (~ (rel_s5 @ Y0 @ Y1)))))) | (~ (rel_s5 @ sK3 @ Y0))))) = $true) | ~spl0_1),
% 0.21/0.47 inference(not_proxy_clausification,[],[f923])).
% 0.21/0.47 thf(f917,plain,(
% 0.21/0.47 ~spl0_2),
% 0.21/0.47 inference(avatar_contradiction_clause,[],[f916])).
% 0.21/0.47 thf(f916,plain,(
% 0.21/0.47 $false | ~spl0_2),
% 0.21/0.47 inference(trivial_inequality_removal,[],[f915])).
% 0.21/0.47 thf(f915,plain,(
% 0.21/0.47 ($true = $false) | ~spl0_2),
% 0.21/0.47 inference(boolean_simplification,[],[f914])).
% 0.21/0.47 thf(f914,plain,(
% 0.21/0.47 ((~ $true) = $true) | ~spl0_2),
% 0.21/0.47 inference(forward_demodulation,[],[f913,f869])).
% 0.21/0.47 thf(f869,plain,(
% 0.21/0.47 ((rel_s5 @ sK7 @ sK4) = $true) | ~spl0_2),
% 0.21/0.47 inference(boolean_simplification,[],[f866])).
% 0.21/0.47 thf(f866,plain,(
% 0.21/0.47 (($true => (rel_s5 @ sK7 @ sK4)) = $true) | ~spl0_2),
% 0.21/0.47 inference(superposition,[],[f172,f834])).
% 0.21/0.47 thf(f834,plain,(
% 0.21/0.47 ((rel_s5 @ sK4 @ sK7) = $true) | ~spl0_2),
% 0.21/0.47 inference(not_proxy_clausification,[],[f822])).
% 0.21/0.47 thf(f822,plain,(
% 0.21/0.47 ((~ (rel_s5 @ sK4 @ sK7)) = $false) | ~spl0_2),
% 0.21/0.47 inference(binary_proxy_clausification,[],[f808])).
% 0.21/0.47 thf(f808,plain,(
% 0.21/0.47 (((~ (p @ sK7)) | (~ (rel_s5 @ sK4 @ sK7))) = $false) | ~spl0_2),
% 0.21/0.47 inference(beta_eta_normalization,[],[f807])).
% 0.21/0.47 thf(f807,plain,(
% 0.21/0.47 ($false = ((^[Y0 : $i]: ((~ (p @ Y0)) | (~ (rel_s5 @ sK4 @ Y0)))) @ sK7)) | ~spl0_2),
% 0.21/0.47 inference(sigma_clausification,[],[f709])).
% 0.21/0.47 thf(f709,plain,(
% 0.21/0.47 ($false = (!! @ $i @ (^[Y0 : $i]: ((~ (p @ Y0)) | (~ (rel_s5 @ sK4 @ Y0)))))) | ~spl0_2),
% 0.21/0.47 inference(binary_proxy_clausification,[],[f621])).
% 0.21/0.47 thf(f621,plain,(
% 0.21/0.47 ($false = ((q @ sK4) | (!! @ $i @ (^[Y0 : $i]: ((~ (p @ Y0)) | (~ (rel_s5 @ sK4 @ Y0))))))) | ~spl0_2),
% 0.21/0.47 inference(binary_proxy_clausification,[],[f619])).
% 0.21/0.47 thf(f619,plain,(
% 0.21/0.47 ($false = (((q @ sK4) | (!! @ $i @ (^[Y0 : $i]: ((~ (p @ Y0)) | (~ (rel_s5 @ sK4 @ Y0)))))) | (~ (rel_s5 @ sK3 @ sK4)))) | ~spl0_2),
% 0.21/0.47 inference(beta_eta_normalization,[],[f618])).
% 0.21/0.47 thf(f618,plain,(
% 0.21/0.47 (((^[Y0 : $i]: (((q @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((~ (p @ Y1)) | (~ (rel_s5 @ Y0 @ Y1)))))) | (~ (rel_s5 @ sK3 @ Y0)))) @ sK4) = $false) | ~spl0_2),
% 0.21/0.47 inference(sigma_clausification,[],[f617])).
% 0.21/0.47 thf(f617,plain,(
% 0.21/0.47 ((!! @ $i @ (^[Y0 : $i]: (((q @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((~ (p @ Y1)) | (~ (rel_s5 @ Y0 @ Y1)))))) | (~ (rel_s5 @ sK3 @ Y0))))) = $false) | ~spl0_2),
% 0.21/0.47 inference(boolean_simplification,[],[f616])).
% 0.21/0.47 thf(f616,plain,(
% 0.21/0.47 (((!! @ $i @ (^[Y0 : $i]: (((q @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((~ (p @ Y1)) | (~ (rel_s5 @ Y0 @ Y1)))))) | (~ (rel_s5 @ sK3 @ Y0))))) | $false) = $false) | ~spl0_2),
% 0.21/0.47 inference(backward_demodulation,[],[f611,f614])).
% 0.21/0.47 thf(f614,plain,(
% 0.21/0.47 ((~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((q @ Y1) | (~ (rel_s5 @ Y0 @ Y1))))) | (~ (p @ Y0))) | (~ (rel_s5 @ sK3 @ Y0)))))) = $false) | ~spl0_2),
% 0.21/0.47 inference(binary_proxy_clausification,[],[f611])).
% 0.21/0.47 thf(f611,plain,(
% 0.21/0.47 (((!! @ $i @ (^[Y0 : $i]: (((q @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((~ (p @ Y1)) | (~ (rel_s5 @ Y0 @ Y1)))))) | (~ (rel_s5 @ sK3 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((q @ Y1) | (~ (rel_s5 @ Y0 @ Y1))))) | (~ (p @ Y0))) | (~ (rel_s5 @ sK3 @ Y0))))))) = $false) | ~spl0_2),
% 0.21/0.47 inference(not_proxy_clausification,[],[f263])).
% 0.21/0.47 thf(f263,plain,(
% 0.21/0.47 ((~ ((!! @ $i @ (^[Y0 : $i]: (((q @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((~ (p @ Y1)) | (~ (rel_s5 @ Y0 @ Y1)))))) | (~ (rel_s5 @ sK3 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((q @ Y1) | (~ (rel_s5 @ Y0 @ Y1))))) | (~ (p @ Y0))) | (~ (rel_s5 @ sK3 @ Y0)))))))) = $true) | ~spl0_2),
% 0.21/0.47 inference(avatar_component_clause,[],[f262])).
% 0.21/0.47 thf(f262,plain,(
% 0.21/0.47 spl0_2 <=> ((~ ((!! @ $i @ (^[Y0 : $i]: (((q @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((~ (p @ Y1)) | (~ (rel_s5 @ Y0 @ Y1)))))) | (~ (rel_s5 @ sK3 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((q @ Y1) | (~ (rel_s5 @ Y0 @ Y1))))) | (~ (p @ Y0))) | (~ (rel_s5 @ sK3 @ Y0)))))))) = $true)),
% 0.21/0.47 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.21/0.47 thf(f913,plain,(
% 0.21/0.47 ((~ (rel_s5 @ sK7 @ sK4)) = $true) | ~spl0_2),
% 0.21/0.47 inference(boolean_simplification,[],[f910])).
% 0.21/0.47 thf(f910,plain,(
% 0.21/0.47 (($false | (~ (rel_s5 @ sK7 @ sK4))) = $true) | ~spl0_2),
% 0.21/0.47 inference(superposition,[],[f884,f712])).
% 0.21/0.47 thf(f712,plain,(
% 0.21/0.47 ((q @ sK4) = $false) | ~spl0_2),
% 0.21/0.47 inference(boolean_simplification,[],[f711])).
% 0.21/0.47 thf(f711,plain,(
% 0.21/0.47 ($false = ((q @ sK4) | $false)) | ~spl0_2),
% 0.21/0.47 inference(backward_demodulation,[],[f621,f709])).
% 0.21/0.47 thf(f884,plain,(
% 0.21/0.47 ( ! [X1 : $i] : ((((q @ X1) | (~ (rel_s5 @ sK7 @ X1))) = $true)) ) | ~spl0_2),
% 0.21/0.47 inference(beta_eta_normalization,[],[f880])).
% 0.21/0.47 thf(f880,plain,(
% 0.21/0.47 ( ! [X1 : $i] : ((((^[Y0 : $i]: ((q @ Y0) | (~ (rel_s5 @ sK7 @ Y0)))) @ X1) = $true)) ) | ~spl0_2),
% 0.21/0.47 inference(pi_clausification,[],[f879])).
% 0.21/0.47 thf(f879,plain,(
% 0.21/0.47 ((!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s5 @ sK7 @ Y0))))) = $true) | ~spl0_2),
% 0.21/0.47 inference(boolean_simplification,[],[f878])).
% 0.21/0.47 thf(f878,plain,(
% 0.21/0.47 ($true = ((!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s5 @ sK7 @ Y0))))) | $false)) | ~spl0_2),
% 0.21/0.47 inference(boolean_simplification,[],[f877])).
% 0.21/0.47 thf(f877,plain,(
% 0.21/0.47 (((!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s5 @ sK7 @ Y0))))) | (~ $true)) = $true) | ~spl0_2),
% 0.21/0.47 inference(backward_demodulation,[],[f828,f868])).
% 0.21/0.47 thf(f868,plain,(
% 0.21/0.47 ((rel_s5 @ sK3 @ sK7) = $true) | ~spl0_2),
% 0.21/0.47 inference(boolean_simplification,[],[f862])).
% 0.21/0.47 thf(f862,plain,(
% 0.21/0.47 (($true => (rel_s5 @ sK3 @ sK7)) = $true) | ~spl0_2),
% 0.21/0.47 inference(superposition,[],[f640,f834])).
% 0.21/0.47 thf(f640,plain,(
% 0.21/0.47 ( ! [X0 : $i] : ((((rel_s5 @ sK4 @ X0) => (rel_s5 @ sK3 @ X0)) = $true)) ) | ~spl0_2),
% 0.21/0.47 inference(boolean_simplification,[],[f630])).
% 0.21/0.47 thf(f630,plain,(
% 0.21/0.47 ( ! [X0 : $i] : (($true = (((rel_s5 @ sK4 @ X0) & $true) => (rel_s5 @ sK3 @ X0)))) ) | ~spl0_2),
% 0.21/0.47 inference(superposition,[],[f183,f624])).
% 0.21/0.47 thf(f624,plain,(
% 0.21/0.47 ((rel_s5 @ sK3 @ sK4) = $true) | ~spl0_2),
% 0.21/0.47 inference(not_proxy_clausification,[],[f623])).
% 0.21/0.47 thf(f623,plain,(
% 0.21/0.47 ((~ (rel_s5 @ sK3 @ sK4)) = $false) | ~spl0_2),
% 0.21/0.47 inference(boolean_simplification,[],[f622])).
% 0.21/0.47 thf(f622,plain,(
% 0.21/0.47 (($false | (~ (rel_s5 @ sK3 @ sK4))) = $false) | ~spl0_2),
% 0.21/0.47 inference(backward_demodulation,[],[f619,f621])).
% 0.21/0.47 thf(f828,plain,(
% 0.21/0.47 ($true = ((!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s5 @ sK7 @ Y0))))) | (~ (rel_s5 @ sK3 @ sK7)))) | ~spl0_2),
% 0.21/0.47 inference(boolean_simplification,[],[f827])).
% 0.21/0.47 thf(f827,plain,(
% 0.21/0.47 ($true = (((!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s5 @ sK7 @ Y0))))) | $false) | (~ (rel_s5 @ sK3 @ sK7)))) | ~spl0_2),
% 0.21/0.47 inference(superposition,[],[f730,f825])).
% 0.21/0.47 thf(f825,plain,(
% 0.21/0.47 ((~ (p @ sK7)) = $false) | ~spl0_2),
% 0.21/0.47 inference(boolean_simplification,[],[f824])).
% 0.21/0.47 thf(f824,plain,(
% 0.21/0.47 ($false = ((~ (p @ sK7)) | $false)) | ~spl0_2),
% 0.21/0.47 inference(backward_demodulation,[],[f808,f822])).
% 0.21/0.47 thf(f730,plain,(
% 0.21/0.47 ( ! [X1 : $i] : (($true = (((!! @ $i @ (^[Y0 : $i]: ((q @ Y0) | (~ (rel_s5 @ X1 @ Y0))))) | (~ (p @ X1))) | (~ (rel_s5 @ sK3 @ X1))))) ) | ~spl0_2),
% 0.21/0.47 inference(beta_eta_normalization,[],[f729])).
% 0.21/0.47 thf(f729,plain,(
% 0.21/0.47 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((q @ Y1) | (~ (rel_s5 @ Y0 @ Y1))))) | (~ (p @ Y0))) | (~ (rel_s5 @ sK3 @ Y0)))) @ X1))) ) | ~spl0_2),
% 0.21/0.47 inference(pi_clausification,[],[f713])).
% 0.21/0.47 thf(f713,plain,(
% 0.21/0.47 ($true = (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((q @ Y1) | (~ (rel_s5 @ Y0 @ Y1))))) | (~ (p @ Y0))) | (~ (rel_s5 @ sK3 @ Y0)))))) | ~spl0_2),
% 0.21/0.47 inference(not_proxy_clausification,[],[f614])).
% 0.21/0.47 thf(f264,plain,(
% 0.21/0.47 spl0_1 | spl0_2),
% 0.21/0.47 inference(avatar_split_clause,[],[f257,f262,f259])).
% 0.21/0.47 thf(f257,plain,(
% 0.21/0.47 ((~ ((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((q @ Y1) | (~ (rel_s5 @ Y0 @ Y1))))) | (~ (p @ Y0))) | (~ (rel_s5 @ sK3 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((q @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((~ (p @ Y1)) | (~ (rel_s5 @ Y0 @ Y1)))))) | (~ (rel_s5 @ sK3 @ Y0)))))))) = $true) | ((~ ((!! @ $i @ (^[Y0 : $i]: (((q @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((~ (p @ Y1)) | (~ (rel_s5 @ Y0 @ Y1)))))) | (~ (rel_s5 @ sK3 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((q @ Y1) | (~ (rel_s5 @ Y0 @ Y1))))) | (~ (p @ Y0))) | (~ (rel_s5 @ sK3 @ Y0)))))))) = $true)),
% 0.21/0.47 inference(binary_proxy_clausification,[],[f245])).
% 0.21/0.47 thf(f245,plain,(
% 0.21/0.47 ($true = ((~ ((!! @ $i @ (^[Y0 : $i]: (((q @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((~ (p @ Y1)) | (~ (rel_s5 @ Y0 @ Y1)))))) | (~ (rel_s5 @ sK3 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((q @ Y1) | (~ (rel_s5 @ Y0 @ Y1))))) | (~ (p @ Y0))) | (~ (rel_s5 @ sK3 @ Y0)))))))) | (~ ((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((q @ Y1) | (~ (rel_s5 @ Y0 @ Y1))))) | (~ (p @ Y0))) | (~ (rel_s5 @ sK3 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((q @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((~ (p @ Y1)) | (~ (rel_s5 @ Y0 @ Y1)))))) | (~ (rel_s5 @ sK3 @ Y0))))))))))),
% 0.21/0.47 inference(not_proxy_clausification,[],[f201])).
% 0.21/0.47 thf(f201,plain,(
% 0.21/0.47 ((~ ((~ ((!! @ $i @ (^[Y0 : $i]: (((q @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((~ (p @ Y1)) | (~ (rel_s5 @ Y0 @ Y1)))))) | (~ (rel_s5 @ sK3 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((q @ Y1) | (~ (rel_s5 @ Y0 @ Y1))))) | (~ (p @ Y0))) | (~ (rel_s5 @ sK3 @ Y0)))))))) | (~ ((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((q @ Y1) | (~ (rel_s5 @ Y0 @ Y1))))) | (~ (p @ Y0))) | (~ (rel_s5 @ sK3 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((q @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((~ (p @ Y1)) | (~ (rel_s5 @ Y0 @ Y1)))))) | (~ (rel_s5 @ sK3 @ Y0)))))))))) = $false)),
% 0.21/0.47 inference(binary_proxy_clausification,[],[f199])).
% 0.21/0.47 thf(f199,plain,(
% 0.21/0.47 (((~ ((~ ((!! @ $i @ (^[Y0 : $i]: (((q @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((~ (p @ Y1)) | (~ (rel_s5 @ Y0 @ Y1)))))) | (~ (rel_s5 @ sK3 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((q @ Y1) | (~ (rel_s5 @ Y0 @ Y1))))) | (~ (p @ Y0))) | (~ (rel_s5 @ sK3 @ Y0)))))))) | (~ ((!! @ $i @ (^[Y0 : $i]: (((!! @ $i @ (^[Y1 : $i]: ((q @ Y1) | (~ (rel_s5 @ Y0 @ Y1))))) | (~ (p @ Y0))) | (~ (rel_s5 @ sK3 @ Y0))))) | (~ (!! @ $i @ (^[Y0 : $i]: (((q @ Y0) | (!! @ $i @ (^[Y1 : $i]: ((~ (p @ Y1)) | (~ (rel_s5 @ Y0 @ Y1)))))) | (~ (rel_s5 @ sK3 @ Y0)))))))))) | (~ (rel_s5 @ sK2 @ sK3))) = $false)),
% 0.21/0.47 inference(beta_eta_normalization,[],[f198])).
% 0.21/0.47 thf(f198,plain,(
% 0.21/0.47 ($false = ((^[Y0 : $i]: ((~ ((~ ((!! @ $i @ (^[Y1 : $i]: (((q @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((~ (p @ Y2)) | (~ (rel_s5 @ Y1 @ Y2)))))) | (~ (rel_s5 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((q @ Y2) | (~ (rel_s5 @ Y1 @ Y2))))) | (~ (p @ Y1))) | (~ (rel_s5 @ Y0 @ Y1)))))))) | (~ ((!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((q @ Y2) | (~ (rel_s5 @ Y1 @ Y2))))) | (~ (p @ Y1))) | (~ (rel_s5 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((q @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((~ (p @ Y2)) | (~ (rel_s5 @ Y1 @ Y2)))))) | (~ (rel_s5 @ Y0 @ Y1)))))))))) | (~ (rel_s5 @ sK2 @ Y0)))) @ sK3))),
% 0.21/0.47 inference(sigma_clausification,[],[f197])).
% 0.21/0.47 thf(f197,plain,(
% 0.21/0.47 ((!! @ $i @ (^[Y0 : $i]: ((~ ((~ ((!! @ $i @ (^[Y1 : $i]: (((q @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((~ (p @ Y2)) | (~ (rel_s5 @ Y1 @ Y2)))))) | (~ (rel_s5 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((q @ Y2) | (~ (rel_s5 @ Y1 @ Y2))))) | (~ (p @ Y1))) | (~ (rel_s5 @ Y0 @ Y1)))))))) | (~ ((!! @ $i @ (^[Y1 : $i]: (((!! @ $i @ (^[Y2 : $i]: ((q @ Y2) | (~ (rel_s5 @ Y1 @ Y2))))) | (~ (p @ Y1))) | (~ (rel_s5 @ Y0 @ Y1))))) | (~ (!! @ $i @ (^[Y1 : $i]: (((q @ Y1) | (!! @ $i @ (^[Y2 : $i]: ((~ (p @ Y2)) | (~ (rel_s5 @ Y1 @ Y2)))))) | (~ (rel_s5 @ Y0 @ Y1)))))))))) | (~ (rel_s5 @ sK2 @ Y0))))) = $false)),
% 0.21/0.47 inference(beta_eta_normalization,[],[f196])).
% 0.21/0.47 thf(f196,plain,(
% 0.21/0.47 (((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ ((~ ((!! @ $i @ (^[Y2 : $i]: (((q @ Y2) | (!! @ $i @ (^[Y3 : $i]: ((~ (p @ Y3)) | (~ (rel_s5 @ Y2 @ Y3)))))) | (~ (rel_s5 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((q @ Y3) | (~ (rel_s5 @ Y2 @ Y3))))) | (~ (p @ Y2))) | (~ (rel_s5 @ Y1 @ Y2)))))))) | (~ ((!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((q @ Y3) | (~ (rel_s5 @ Y2 @ Y3))))) | (~ (p @ Y2))) | (~ (rel_s5 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((q @ Y2) | (!! @ $i @ (^[Y3 : $i]: ((~ (p @ Y3)) | (~ (rel_s5 @ Y2 @ Y3)))))) | (~ (rel_s5 @ Y1 @ Y2)))))))))) | (~ (rel_s5 @ Y0 @ Y1)))))) @ sK2) = $false)),
% 0.21/0.47 inference(sigma_clausification,[],[f193])).
% 0.21/0.47 thf(f193,plain,(
% 0.21/0.47 ($false = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ ((~ ((!! @ $i @ (^[Y2 : $i]: (((q @ Y2) | (!! @ $i @ (^[Y3 : $i]: ((~ (p @ Y3)) | (~ (rel_s5 @ Y2 @ Y3)))))) | (~ (rel_s5 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((q @ Y3) | (~ (rel_s5 @ Y2 @ Y3))))) | (~ (p @ Y2))) | (~ (rel_s5 @ Y1 @ Y2)))))))) | (~ ((!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((q @ Y3) | (~ (rel_s5 @ Y2 @ Y3))))) | (~ (p @ Y2))) | (~ (rel_s5 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((q @ Y2) | (!! @ $i @ (^[Y3 : $i]: ((~ (p @ Y3)) | (~ (rel_s5 @ Y2 @ Y3)))))) | (~ (rel_s5 @ Y1 @ Y2)))))))))) | (~ (rel_s5 @ Y0 @ Y1))))))))),
% 0.21/0.47 inference(not_proxy_clausification,[],[f163])).
% 0.21/0.47 thf(f163,plain,(
% 0.21/0.47 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ ((~ ((!! @ $i @ (^[Y2 : $i]: (((q @ Y2) | (!! @ $i @ (^[Y3 : $i]: ((~ (p @ Y3)) | (~ (rel_s5 @ Y2 @ Y3)))))) | (~ (rel_s5 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((q @ Y3) | (~ (rel_s5 @ Y2 @ Y3))))) | (~ (p @ Y2))) | (~ (rel_s5 @ Y1 @ Y2)))))))) | (~ ((!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((q @ Y3) | (~ (rel_s5 @ Y2 @ Y3))))) | (~ (p @ Y2))) | (~ (rel_s5 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((q @ Y2) | (!! @ $i @ (^[Y3 : $i]: ((~ (p @ Y3)) | (~ (rel_s5 @ Y2 @ Y3)))))) | (~ (rel_s5 @ Y1 @ Y2)))))))))) | (~ (rel_s5 @ Y0 @ Y1)))))))) = $true)),
% 0.21/0.47 inference(boolean_simplification,[],[f162])).
% 0.21/0.47 thf(f162,plain,(
% 0.21/0.47 ((~ (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((~ ((~ ((!! @ $i @ (^[Y2 : $i]: (((q @ Y2) | (~ (~ (!! @ $i @ (^[Y3 : $i]: ((~ (p @ Y3)) | (~ (rel_s5 @ Y2 @ Y3)))))))) | (~ (rel_s5 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((q @ Y3) | (~ (rel_s5 @ Y2 @ Y3))))) | (~ (p @ Y2))) | (~ (rel_s5 @ Y1 @ Y2)))))))) | (~ ((!! @ $i @ (^[Y2 : $i]: (((!! @ $i @ (^[Y3 : $i]: ((q @ Y3) | (~ (rel_s5 @ Y2 @ Y3))))) | (~ (p @ Y2))) | (~ (rel_s5 @ Y1 @ Y2))))) | (~ (!! @ $i @ (^[Y2 : $i]: (((q @ Y2) | (~ (~ (!! @ $i @ (^[Y3 : $i]: ((~ (p @ Y3)) | (~ (rel_s5 @ Y2 @ Y3)))))))) | (~ (rel_s5 @ Y1 @ Y2)))))))))) | (~ (rel_s5 @ Y0 @ Y1)))))))) = $true)),
% 0.21/0.47 inference(beta_eta_normalization,[],[f160])).
% 0.21/0.47 thf(f160,plain,(
% 0.21/0.47 ((~ ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s5 @ Y1 @ Y2)))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y1 @ Y0))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s5 @ Y1 @ Y2)))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s5 @ Y2 @ Y3)))))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ Y0)))) @ p) @ q)) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s5 @ Y1 @ Y2)))))))) @ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))) @ p @ ((^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s5 @ Y1 @ Y2)))))))) @ q))))))) = $true)),
% 0.21/0.47 inference(definition_unfolding,[],[f143,f112,f111,f151,f111,f149,f157,f111,f149,f111])).
% 0.21/0.47 thf(f157,plain,(
% 0.21/0.47 (mdia_s5 = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (rel_s5 @ Y2 @ Y3)))))))) @ ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ Y0)))))),
% 0.21/0.47 inference(definition_unfolding,[],[f147,f118,f111,f118])).
% 0.21/0.47 thf(f118,plain,(
% 0.21/0.47 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.21/0.47 inference(cnf_transformation,[],[f80])).
% 0.21/0.47 thf(f80,plain,(
% 0.21/0.47 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.21/0.47 inference(fool_elimination,[],[f79])).
% 0.21/0.47 thf(f79,plain,(
% 0.21/0.47 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.21/0.47 inference(rectify,[],[f3])).
% 0.21/0.47 thf(f3,axiom,(
% 0.21/0.47 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mnot)).
% 0.21/0.47 thf(f147,plain,(
% 0.21/0.47 (mdia_s5 = (^[Y0 : $i > $o]: (mnot @ (mbox_s5 @ (mnot @ Y0)))))),
% 0.21/0.47 inference(cnf_transformation,[],[f110])).
% 0.21/0.47 thf(f110,plain,(
% 0.21/0.47 (mdia_s5 = (^[Y0 : $i > $o]: (mnot @ (mbox_s5 @ (mnot @ Y0)))))),
% 0.21/0.47 inference(fool_elimination,[],[f109])).
% 0.21/0.47 thf(f109,plain,(
% 0.21/0.47 (mdia_s5 = (^[X0 : $i > $o] : (mnot @ (mbox_s5 @ (mnot @ X0)))))),
% 0.21/0.47 inference(rectify,[],[f33])).
% 0.21/0.47 thf(f33,axiom,(
% 0.21/0.47 (mdia_s5 = (^[X3 : $i > $o] : (mnot @ (mbox_s5 @ (mnot @ X3)))))),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mdia_s5)).
% 0.21/0.47 thf(f149,plain,(
% 0.21/0.47 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.21/0.47 inference(definition_unfolding,[],[f120,f135,f118])).
% 0.21/0.47 thf(f135,plain,(
% 0.21/0.47 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.21/0.47 inference(cnf_transformation,[],[f55])).
% 0.21/0.47 thf(f55,plain,(
% 0.21/0.47 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.21/0.47 inference(fool_elimination,[],[f54])).
% 0.21/0.47 thf(f54,plain,(
% 0.21/0.47 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
% 0.21/0.47 inference(rectify,[],[f4])).
% 0.21/0.47 thf(f4,axiom,(
% 0.21/0.47 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))))),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mor)).
% 0.21/0.47 thf(f120,plain,(
% 0.21/0.47 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.21/0.47 inference(cnf_transformation,[],[f53])).
% 0.21/0.47 thf(f53,plain,(
% 0.21/0.47 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.21/0.47 inference(fool_elimination,[],[f52])).
% 0.21/0.47 thf(f52,plain,(
% 0.21/0.47 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 0.21/0.47 inference(rectify,[],[f6])).
% 0.21/0.47 thf(f6,axiom,(
% 0.21/0.47 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mimplies)).
% 0.21/0.47 thf(f151,plain,(
% 0.21/0.47 (mequiv = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y0 @ Y1) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y5 @ Y6) | (Y4 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ Y1 @ Y0))))))),
% 0.21/0.47 inference(definition_unfolding,[],[f140,f148,f149,f149])).
% 0.21/0.47 thf(f148,plain,(
% 0.21/0.47 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y3 @ Y4) | (Y2 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
% 0.21/0.47 inference(definition_unfolding,[],[f124,f118,f135,f118,f118])).
% 0.21/0.47 thf(f124,plain,(
% 0.21/0.47 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 0.21/0.47 inference(cnf_transformation,[],[f75])).
% 0.21/0.47 thf(f75,plain,(
% 0.21/0.47 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 0.21/0.47 inference(fool_elimination,[],[f74])).
% 0.21/0.47 thf(f74,plain,(
% 0.21/0.47 (mand = (^[X0 : $i > $o, X1 : $i > $o] : (mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))))),
% 0.21/0.47 inference(rectify,[],[f5])).
% 0.21/0.47 thf(f5,axiom,(
% 0.21/0.47 (mand = (^[X3 : $i > $o, X4 : $i > $o] : (mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))))),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mand)).
% 0.21/0.47 thf(f140,plain,(
% 0.21/0.47 (mequiv = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mand @ (mimplies @ Y0 @ Y1) @ (mimplies @ Y1 @ Y0))))))),
% 0.21/0.47 inference(cnf_transformation,[],[f69])).
% 0.21/0.47 thf(f69,plain,(
% 0.21/0.47 (mequiv = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mand @ (mimplies @ Y0 @ Y1) @ (mimplies @ Y1 @ Y0))))))),
% 0.21/0.47 inference(fool_elimination,[],[f68])).
% 0.21/0.47 thf(f68,plain,(
% 0.21/0.47 (mequiv = (^[X0 : $i > $o, X1 : $i > $o] : (mand @ (mimplies @ X0 @ X1) @ (mimplies @ X1 @ X0))))),
% 0.21/0.47 inference(rectify,[],[f8])).
% 0.21/0.47 thf(f8,axiom,(
% 0.21/0.47 (mequiv = (^[X3 : $i > $o, X4 : $i > $o] : (mand @ (mimplies @ X3 @ X4) @ (mimplies @ X4 @ X3))))),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mequiv)).
% 0.21/0.47 thf(f111,plain,(
% 0.21/0.47 (mbox_s5 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s5 @ Y1 @ Y2)))))))))),
% 0.21/0.47 inference(cnf_transformation,[],[f46])).
% 0.21/0.47 thf(f46,plain,(
% 0.21/0.47 (mbox_s5 = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y2) | (~ (rel_s5 @ Y1 @ Y2)))))))))),
% 0.21/0.47 inference(fool_elimination,[],[f45])).
% 0.21/0.47 thf(f45,plain,(
% 0.21/0.47 (mbox_s5 = (^[X0 : $i > $o, X1 : $i] : (! [X2] : (~(rel_s5 @ X1 @ X2) | (X0 @ X2)))))),
% 0.21/0.47 inference(rectify,[],[f32])).
% 0.21/0.47 thf(f32,axiom,(
% 0.21/0.47 (mbox_s5 = (^[X3 : $i > $o, X2 : $i] : (! [X7] : (~(rel_s5 @ X2 @ X7) | (X3 @ X7)))))),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mbox_s5)).
% 0.21/0.47 thf(f112,plain,(
% 0.21/0.47 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.21/0.47 inference(cnf_transformation,[],[f108])).
% 0.21/0.47 thf(f108,plain,(
% 0.21/0.47 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.21/0.47 inference(fool_elimination,[],[f107])).
% 0.21/0.47 thf(f107,plain,(
% 0.21/0.47 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.21/0.47 inference(rectify,[],[f28])).
% 0.21/0.47 thf(f28,axiom,(
% 0.21/0.47 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mvalid)).
% 0.21/0.47 thf(f143,plain,(
% 0.21/0.47 ((~ (mvalid @ (mbox_s5 @ (mequiv @ (mbox_s5 @ (mimplies @ (mdia_s5 @ p) @ q)) @ (mbox_s5 @ (mimplies @ p @ (mbox_s5 @ q))))))) = $true)),
% 0.21/0.47 inference(cnf_transformation,[],[f61])).
% 0.21/0.47 thf(f61,plain,(
% 0.21/0.47 ((~ (mvalid @ (mbox_s5 @ (mequiv @ (mbox_s5 @ (mimplies @ (mdia_s5 @ p) @ q)) @ (mbox_s5 @ (mimplies @ p @ (mbox_s5 @ q))))))) = $true)),
% 0.21/0.47 inference(fool_elimination,[],[f60])).
% 0.21/0.47 thf(f60,plain,(
% 0.21/0.47 ~(mvalid @ (mbox_s5 @ (mequiv @ (mbox_s5 @ (mimplies @ (mdia_s5 @ p) @ q)) @ (mbox_s5 @ (mimplies @ p @ (mbox_s5 @ q))))))),
% 0.21/0.47 inference(rectify,[],[f38])).
% 0.21/0.47 thf(f38,negated_conjecture,(
% 0.21/0.47 ~(mvalid @ (mbox_s5 @ (mequiv @ (mbox_s5 @ (mimplies @ (mdia_s5 @ p) @ q)) @ (mbox_s5 @ (mimplies @ p @ (mbox_s5 @ q))))))),
% 0.21/0.47 inference(negated_conjecture,[],[f37])).
% 0.21/0.47 thf(f37,conjecture,(
% 0.21/0.47 (mvalid @ (mbox_s5 @ (mequiv @ (mbox_s5 @ (mimplies @ (mdia_s5 @ p) @ q)) @ (mbox_s5 @ (mimplies @ p @ (mbox_s5 @ q))))))),
% 0.21/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove)).
% 0.21/0.47 % SZS output end Proof for theBenchmark
% 0.21/0.47 % (24569)------------------------------
% 0.21/0.47 % (24569)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.47 % (24569)Termination reason: Refutation
% 0.21/0.47
% 0.21/0.47 % (24569)Memory used [KB]: 6268
% 0.21/0.47 % (24569)Time elapsed: 0.070 s
% 0.21/0.47 % (24569)Instructions burned: 130 (million)
% 0.21/0.47 % (24569)------------------------------
% 0.21/0.47 % (24569)------------------------------
% 0.21/0.47 % (24557)Success in time 0.127 s
% 0.21/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------