TSTP Solution File: AGT031^1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : AGT031^1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 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 : n022.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 17:58:46 EDT 2024
% Result : Theorem 0.22s 0.54s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : AGT031^1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 18:49:52 EDT 2024
% 0.21/0.35 % CPUTime :
% 0.21/0.35 This is a TH0_THM_EQU_NAR problem
% 0.21/0.35 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
% 0.21/0.38 % (3574)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)
% 0.21/0.38 % (3570)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.38 % (3575)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)
% 0.21/0.38 % (3571)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)
% 0.21/0.38 % (3576)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.38 % (3574)Instruction limit reached!
% 0.21/0.38 % (3574)------------------------------
% 0.21/0.38 % (3574)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (3574)Termination reason: Unknown
% 0.21/0.38 % (3574)Termination phase: shuffling
% 0.21/0.38
% 0.21/0.38 % (3574)Memory used [KB]: 1023
% 0.21/0.38 % (3574)Time elapsed: 0.004 s
% 0.21/0.38 % (3574)Instructions burned: 3 (million)
% 0.21/0.38 % (3574)------------------------------
% 0.21/0.38 % (3574)------------------------------
% 0.21/0.38 % (3577)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)
% 0.21/0.38 % (3571)Instruction limit reached!
% 0.21/0.38 % (3571)------------------------------
% 0.21/0.38 % (3571)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (3571)Termination reason: Unknown
% 0.21/0.38 % (3571)Termination phase: shuffling
% 0.21/0.38
% 0.21/0.38 % (3571)Memory used [KB]: 1151
% 0.21/0.38 % (3571)Time elapsed: 0.005 s
% 0.21/0.38 % (3571)Instructions burned: 5 (million)
% 0.21/0.38 % (3571)------------------------------
% 0.21/0.38 % (3571)------------------------------
% 0.21/0.38 % (3573)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.38 % (3573)Instruction limit reached!
% 0.21/0.38 % (3573)------------------------------
% 0.21/0.38 % (3573)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (3573)Termination reason: Unknown
% 0.21/0.38 % (3573)Termination phase: shuffling
% 0.21/0.38
% 0.21/0.38 % (3573)Memory used [KB]: 1023
% 0.21/0.38 % (3573)Time elapsed: 0.004 s
% 0.21/0.38 % (3573)Instructions burned: 2 (million)
% 0.21/0.38 % (3573)------------------------------
% 0.21/0.38 % (3573)------------------------------
% 0.21/0.38 % (3577)Instruction limit reached!
% 0.21/0.38 % (3577)------------------------------
% 0.21/0.38 % (3577)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (3577)Termination reason: Unknown
% 0.21/0.38 % (3577)Termination phase: shuffling
% 0.21/0.38
% 0.21/0.38 % (3577)Memory used [KB]: 1023
% 0.21/0.38 % (3577)Time elapsed: 0.004 s
% 0.21/0.38 % (3577)Instructions burned: 4 (million)
% 0.21/0.38 % (3577)------------------------------
% 0.21/0.38 % (3577)------------------------------
% 0.21/0.38 % (3575)Refutation not found, incomplete strategy
% 0.21/0.38 % (3575)------------------------------
% 0.21/0.38 % (3575)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (3575)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.38
% 0.21/0.38
% 0.21/0.38 % (3575)Memory used [KB]: 5628
% 0.21/0.38 % (3575)Time elapsed: 0.009 s
% 0.21/0.38 % (3575)Instructions burned: 12 (million)
% 0.21/0.38 % (3575)------------------------------
% 0.21/0.38 % (3575)------------------------------
% 0.21/0.38 % (3576)Instruction limit reached!
% 0.21/0.38 % (3576)------------------------------
% 0.21/0.38 % (3576)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38 % (3576)Termination reason: Unknown
% 0.21/0.38 % (3576)Termination phase: Property scanning
% 0.21/0.38
% 0.21/0.38 % (3576)Memory used [KB]: 1151
% 0.21/0.38 % (3576)Time elapsed: 0.011 s
% 0.21/0.38 % (3576)Instructions burned: 19 (million)
% 0.21/0.38 % (3576)------------------------------
% 0.21/0.38 % (3576)------------------------------
% 0.21/0.39 % (3572)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)
% 0.21/0.39 % (3578)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)
% 0.21/0.39 % (3579)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)
% 0.21/0.39 % (3581)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 % (3582)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 % (3583)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 % (3572)Instruction limit reached!
% 0.21/0.40 % (3572)------------------------------
% 0.21/0.40 % (3572)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (3572)Termination reason: Unknown
% 0.21/0.40 % (3572)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (3572)Memory used [KB]: 5756
% 0.21/0.40 % (3572)Time elapsed: 0.015 s
% 0.21/0.40 % (3572)Instructions burned: 27 (million)
% 0.21/0.40 % (3572)------------------------------
% 0.21/0.40 % (3572)------------------------------
% 0.21/0.40 % (3580)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)
% 0.21/0.40 % (3579)Instruction limit reached!
% 0.21/0.40 % (3579)------------------------------
% 0.21/0.40 % (3579)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (3579)Termination reason: Unknown
% 0.21/0.40 % (3579)Termination phase: Property scanning
% 0.21/0.40
% 0.21/0.40 % (3579)Memory used [KB]: 1151
% 0.21/0.40 % (3579)Time elapsed: 0.010 s
% 0.21/0.40 % (3579)Instructions burned: 15 (million)
% 0.21/0.40 % (3579)------------------------------
% 0.21/0.40 % (3579)------------------------------
% 0.21/0.40 % (3582)Instruction limit reached!
% 0.21/0.40 % (3582)------------------------------
% 0.21/0.40 % (3582)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (3582)Termination reason: Unknown
% 0.21/0.40 % (3582)Termination phase: Property scanning
% 0.21/0.40
% 0.21/0.40 % (3582)Memory used [KB]: 1151
% 0.21/0.40 % (3582)Time elapsed: 0.006 s
% 0.21/0.40 % (3582)Instructions burned: 8 (million)
% 0.21/0.40 % (3582)------------------------------
% 0.21/0.40 % (3582)------------------------------
% 0.21/0.40 % (3580)Instruction limit reached!
% 0.21/0.40 % (3580)------------------------------
% 0.21/0.40 % (3580)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (3580)Termination reason: Unknown
% 0.21/0.40 % (3580)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (3580)Memory used [KB]: 1023
% 0.21/0.40 % (3580)Time elapsed: 0.004 s
% 0.21/0.40 % (3580)Instructions burned: 4 (million)
% 0.21/0.40 % (3580)------------------------------
% 0.21/0.40 % (3580)------------------------------
% 0.21/0.41 % (3583)Instruction limit reached!
% 0.21/0.41 % (3583)------------------------------
% 0.21/0.41 % (3583)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (3583)Termination reason: Unknown
% 0.21/0.41 % (3583)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (3583)Memory used [KB]: 1151
% 0.21/0.41 % (3583)Time elapsed: 0.010 s
% 0.21/0.41 % (3583)Instructions burned: 17 (million)
% 0.21/0.41 % (3583)------------------------------
% 0.21/0.41 % (3583)------------------------------
% 0.21/0.41 % (3578)Instruction limit reached!
% 0.21/0.41 % (3578)------------------------------
% 0.21/0.41 % (3578)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (3578)Termination reason: Unknown
% 0.21/0.41 % (3578)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (3578)Memory used [KB]: 5884
% 0.21/0.41 % (3578)Time elapsed: 0.020 s
% 0.21/0.41 % (3578)Instructions burned: 38 (million)
% 0.21/0.41 % (3578)------------------------------
% 0.21/0.41 % (3578)------------------------------
% 0.21/0.41 % (3584)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)
% 0.21/0.42 % (3585)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)
% 0.21/0.42 % (3586)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)
% 0.21/0.42 % (3584)Instruction limit reached!
% 0.21/0.42 % (3584)------------------------------
% 0.21/0.42 % (3584)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (3584)Termination reason: Unknown
% 0.21/0.42 % (3584)Termination phase: shuffling
% 0.21/0.42 % (3587)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
% 0.21/0.42 % (3584)Memory used [KB]: 1023
% 0.21/0.42 % (3584)Time elapsed: 0.004 s
% 0.21/0.42 % (3584)Instructions burned: 4 (million)
% 0.21/0.42 % (3584)------------------------------
% 0.21/0.42 % (3584)------------------------------
% 0.21/0.42 % (3585)Instruction limit reached!
% 0.21/0.42 % (3585)------------------------------
% 0.21/0.42 % (3585)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (3585)Termination reason: Unknown
% 0.21/0.42 % (3585)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (3585)Memory used [KB]: 1023
% 0.21/0.42 % (3585)Time elapsed: 0.003 s
% 0.21/0.42 % (3585)Instructions burned: 3 (million)
% 0.21/0.42 % (3585)------------------------------
% 0.21/0.42 % (3585)------------------------------
% 0.21/0.42 % (3587)Instruction limit reached!
% 0.21/0.42 % (3587)------------------------------
% 0.21/0.42 % (3587)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (3587)Termination reason: Unknown
% 0.21/0.42 % (3587)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (3587)Memory used [KB]: 1023
% 0.21/0.42 % (3587)Time elapsed: 0.004 s
% 0.21/0.42 % (3587)Instructions burned: 4 (million)
% 0.21/0.42 % (3587)------------------------------
% 0.21/0.42 % (3587)------------------------------
% 0.21/0.42 % (3586)Instruction limit reached!
% 0.21/0.42 % (3586)------------------------------
% 0.21/0.42 % (3586)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (3586)Termination reason: Unknown
% 0.21/0.42 % (3586)Termination phase: Property scanning
% 0.21/0.42
% 0.21/0.42 % (3586)Memory used [KB]: 1151
% 0.21/0.42 % (3586)Time elapsed: 0.006 s
% 0.21/0.42 % (3586)Instructions burned: 8 (million)
% 0.21/0.42 % (3586)------------------------------
% 0.21/0.42 % (3586)------------------------------
% 0.21/0.42 % (3588)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 % (3588)Instruction limit reached!
% 0.21/0.42 % (3588)------------------------------
% 0.21/0.42 % (3588)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (3588)Termination reason: Unknown
% 0.21/0.42 % (3588)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (3588)Memory used [KB]: 1023
% 0.21/0.42 % (3588)Time elapsed: 0.004 s
% 0.21/0.42 % (3588)Instructions burned: 4 (million)
% 0.21/0.42 % (3588)------------------------------
% 0.21/0.42 % (3588)------------------------------
% 0.21/0.43 % (3589)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)
% 0.21/0.43 % (3590)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.43 % (3591)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.43 % (3591)Instruction limit reached!
% 0.22/0.43 % (3591)------------------------------
% 0.22/0.43 % (3591)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.43 % (3591)Termination reason: Unknown
% 0.22/0.43 % (3591)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (3591)Memory used [KB]: 1151
% 0.22/0.43 % (3591)Time elapsed: 0.005 s
% 0.22/0.43 % (3591)Instructions burned: 6 (million)
% 0.22/0.43 % (3591)------------------------------
% 0.22/0.43 % (3591)------------------------------
% 0.22/0.43 % (3593)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)
% 0.22/0.44 % (3589)Instruction limit reached!
% 0.22/0.44 % (3589)------------------------------
% 0.22/0.44 % (3589)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (3589)Termination reason: Unknown
% 0.22/0.44 % (3589)Termination phase: Saturation
% 0.22/0.44
% 0.22/0.44 % (3589)Memory used [KB]: 5628
% 0.22/0.44 % (3589)Time elapsed: 0.012 s
% 0.22/0.44 % (3589)Instructions burned: 19 (million)
% 0.22/0.44 % (3589)------------------------------
% 0.22/0.44 % (3589)------------------------------
% 0.22/0.44 % (3592)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)
% 0.22/0.44 % (3590)Refutation not found, incomplete strategy
% 0.22/0.44 % (3590)------------------------------
% 0.22/0.44 % (3590)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (3590)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.44
% 0.22/0.44
% 0.22/0.44 % (3590)Memory used [KB]: 5628
% 0.22/0.44 % (3590)Time elapsed: 0.013 s
% 0.22/0.44 % (3590)Instructions burned: 19 (million)
% 0.22/0.44 % (3590)------------------------------
% 0.22/0.44 % (3590)------------------------------
% 0.22/0.44 % (3594)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.44 % (3593)Instruction limit reached!
% 0.22/0.44 % (3593)------------------------------
% 0.22/0.44 % (3593)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.44 % (3593)Termination reason: Unknown
% 0.22/0.44 % (3593)Termination phase: Property scanning
% 0.22/0.44
% 0.22/0.44 % (3593)Memory used [KB]: 1151
% 0.22/0.44 % (3593)Time elapsed: 0.012 s
% 0.22/0.44 % (3593)Instructions burned: 21 (million)
% 0.22/0.44 % (3593)------------------------------
% 0.22/0.44 % (3593)------------------------------
% 0.22/0.45 % (3592)Refutation not found, incomplete strategy
% 0.22/0.45 % (3592)------------------------------
% 0.22/0.45 % (3592)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (3592)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.45
% 0.22/0.45
% 0.22/0.45 % (3592)Memory used [KB]: 5628
% 0.22/0.45 % (3592)Time elapsed: 0.011 s
% 0.22/0.45 % (3592)Instructions burned: 15 (million)
% 0.22/0.45 % (3592)------------------------------
% 0.22/0.45 % (3592)------------------------------
% 0.22/0.45 % (3594)Instruction limit reached!
% 0.22/0.45 % (3594)------------------------------
% 0.22/0.45 % (3594)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (3594)Termination reason: Unknown
% 0.22/0.45 % (3594)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (3594)Memory used [KB]: 1151
% 0.22/0.45 % (3594)Time elapsed: 0.004 s
% 0.22/0.45 % (3594)Instructions burned: 5 (million)
% 0.22/0.45 % (3594)------------------------------
% 0.22/0.45 % (3594)------------------------------
% 0.22/0.45 % (3595)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)
% 0.22/0.45 % (3595)Instruction limit reached!
% 0.22/0.45 % (3595)------------------------------
% 0.22/0.45 % (3595)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.45 % (3595)Termination reason: Unknown
% 0.22/0.45 % (3595)Termination phase: Property scanning
% 0.22/0.45
% 0.22/0.45 % (3595)Memory used [KB]: 1151
% 0.22/0.45 % (3595)Time elapsed: 0.005 s
% 0.22/0.45 % (3595)Instructions burned: 6 (million)
% 0.22/0.45 % (3595)------------------------------
% 0.22/0.45 % (3595)------------------------------
% 0.22/0.45 % (3596)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.22/0.46 % (3597)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)
% 0.22/0.46 % (3598)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)
% 0.22/0.46 % (3600)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2999ds/17Mi)
% 0.22/0.46 % (3599)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)
% 0.22/0.46 % (3601)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.47 % (3601)Instruction limit reached!
% 0.22/0.47 % (3601)------------------------------
% 0.22/0.47 % (3601)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (3601)Termination reason: Unknown
% 0.22/0.47 % (3601)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (3601)Memory used [KB]: 1023
% 0.22/0.47 % (3601)Time elapsed: 0.002 s
% 0.22/0.47 % (3601)Instructions burned: 3 (million)
% 0.22/0.47 % (3601)------------------------------
% 0.22/0.47 % (3601)------------------------------
% 0.22/0.47 % (3600)Instruction limit reached!
% 0.22/0.47 % (3600)------------------------------
% 0.22/0.47 % (3600)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (3600)Termination reason: Unknown
% 0.22/0.47 % (3600)Termination phase: Property scanning
% 0.22/0.47
% 0.22/0.47 % (3600)Memory used [KB]: 1151
% 0.22/0.47 % (3600)Time elapsed: 0.008 s
% 0.22/0.47 % (3600)Instructions burned: 17 (million)
% 0.22/0.47 % (3600)------------------------------
% 0.22/0.47 % (3600)------------------------------
% 0.22/0.47 % (3598)Refutation not found, incomplete strategy
% 0.22/0.47 % (3598)------------------------------
% 0.22/0.47 % (3598)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.47 % (3598)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.47
% 0.22/0.47
% 0.22/0.47 % (3598)Memory used [KB]: 5628
% 0.22/0.47 % (3598)Time elapsed: 0.014 s
% 0.22/0.47 % (3598)Instructions burned: 14 (million)
% 0.22/0.47 % (3598)------------------------------
% 0.22/0.47 % (3598)------------------------------
% 0.22/0.47 % (3602)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.22/0.48 % (3603)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)
% 0.22/0.48 % (3602)Instruction limit reached!
% 0.22/0.48 % (3602)------------------------------
% 0.22/0.48 % (3602)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (3602)Termination reason: Unknown
% 0.22/0.48 % (3602)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (3602)Memory used [KB]: 5756
% 0.22/0.48 % (3602)Time elapsed: 0.009 s
% 0.22/0.48 % (3602)Instructions burned: 31 (million)
% 0.22/0.48 % (3602)------------------------------
% 0.22/0.48 % (3602)------------------------------
% 0.22/0.48 % (3570)Instruction limit reached!
% 0.22/0.48 % (3570)------------------------------
% 0.22/0.48 % (3570)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.48 % (3570)Termination reason: Unknown
% 0.22/0.48 % (3570)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (3570)Memory used [KB]: 6652
% 0.22/0.48 % (3570)Time elapsed: 0.108 s
% 0.22/0.48 % (3570)Instructions burned: 183 (million)
% 0.22/0.48 % (3570)------------------------------
% 0.22/0.48 % (3570)------------------------------
% 0.22/0.48 % (3604)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on theBenchmark for (2998ds/100Mi)
% 0.22/0.49 % (3605)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.22/0.49 % (3605)Instruction limit reached!
% 0.22/0.49 % (3605)------------------------------
% 0.22/0.49 % (3605)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.49 % (3605)Termination reason: Unknown
% 0.22/0.49 % (3605)Termination phase: shuffling
% 0.22/0.49
% 0.22/0.49 % (3605)Memory used [KB]: 1023
% 0.22/0.49 % (3605)Time elapsed: 0.002 s
% 0.22/0.49 % (3605)Instructions burned: 3 (million)
% 0.22/0.49 % (3605)------------------------------
% 0.22/0.49 % (3605)------------------------------
% 0.22/0.49 % (3606)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 0.22/0.50 % (3606)Refutation not found, incomplete strategy
% 0.22/0.50 % (3606)------------------------------
% 0.22/0.50 % (3606)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (3606)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.50
% 0.22/0.50
% 0.22/0.50 % (3606)Memory used [KB]: 5628
% 0.22/0.50 % (3606)Time elapsed: 0.006 s
% 0.22/0.50 % (3606)Instructions burned: 15 (million)
% 0.22/0.50 % (3606)------------------------------
% 0.22/0.50 % (3606)------------------------------
% 0.22/0.50 % (3597)Refutation not found, incomplete strategy
% 0.22/0.50 % (3597)------------------------------
% 0.22/0.50 % (3597)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.50 % (3597)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.50
% 0.22/0.50
% 0.22/0.50 % (3597)Memory used [KB]: 6012
% 0.22/0.50 % (3597)Time elapsed: 0.040 s
% 0.22/0.50 % (3597)Instructions burned: 92 (million)
% 0.22/0.50 % (3597)------------------------------
% 0.22/0.50 % (3597)------------------------------
% 0.22/0.50 % (3607)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 0.22/0.50 % (3608)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 0.22/0.51 % (3609)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on theBenchmark for (2998ds/39Mi)
% 0.22/0.52 % (3609)Instruction limit reached!
% 0.22/0.52 % (3609)------------------------------
% 0.22/0.52 % (3609)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (3609)Termination reason: Unknown
% 0.22/0.52 % (3609)Termination phase: Saturation
% 0.22/0.52
% 0.22/0.52 % (3609)Memory used [KB]: 5884
% 0.22/0.52 % (3609)Time elapsed: 0.012 s
% 0.22/0.52 % (3609)Instructions burned: 39 (million)
% 0.22/0.52 % (3609)------------------------------
% 0.22/0.52 % (3609)------------------------------
% 0.22/0.52 % (3604)Instruction limit reached!
% 0.22/0.52 % (3604)------------------------------
% 0.22/0.52 % (3604)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (3604)Termination reason: Unknown
% 0.22/0.52 % (3604)Termination phase: Saturation
% 0.22/0.52
% 0.22/0.52 % (3604)Memory used [KB]: 6268
% 0.22/0.52 % (3604)Time elapsed: 0.036 s
% 0.22/0.52 % (3604)Instructions burned: 100 (million)
% 0.22/0.52 % (3604)------------------------------
% 0.22/0.52 % (3604)------------------------------
% 0.22/0.52 % (3607)Instruction limit reached!
% 0.22/0.52 % (3607)------------------------------
% 0.22/0.52 % (3607)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.52 % (3607)Termination reason: Unknown
% 0.22/0.52 % (3607)Termination phase: Saturation
% 0.22/0.52
% 0.22/0.52 % (3607)Memory used [KB]: 6268
% 0.22/0.52 % (3607)Time elapsed: 0.027 s
% 0.22/0.52 % (3607)Instructions burned: 88 (million)
% 0.22/0.52 % (3607)------------------------------
% 0.22/0.52 % (3607)------------------------------
% 0.22/0.53 % (3610)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on theBenchmark for (2998ds/448Mi)
% 0.22/0.53 % (3603)Instruction limit reached!
% 0.22/0.53 % (3603)------------------------------
% 0.22/0.53 % (3603)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.53 % (3603)Termination reason: Unknown
% 0.22/0.53 % (3603)Termination phase: Saturation
% 0.22/0.53
% 0.22/0.53 % (3603)Memory used [KB]: 6268
% 0.22/0.53 % (3603)Time elapsed: 0.052 s
% 0.22/0.53 % (3603)Instructions burned: 128 (million)
% 0.22/0.53 % (3603)------------------------------
% 0.22/0.53 % (3603)------------------------------
% 0.22/0.53 % (3611)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on theBenchmark for (2998ds/46Mi)
% 0.22/0.53 % (3612)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on theBenchmark for (2998ds/98Mi)
% 0.22/0.53 % (3596)First to succeed.
% 0.22/0.54 % (3596)Refutation found. Thanks to Tanya!
% 0.22/0.54 % SZS status Theorem for theBenchmark
% 0.22/0.54 % SZS output start Proof for theBenchmark
% 0.22/0.54 thf(type_def_5, type, mu: $tType).
% 0.22/0.54 thf(func_def_0, type, mu: $tType).
% 0.22/0.54 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.22/0.54 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.54 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.22/0.54 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.54 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.54 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.54 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.54 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.54 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.54 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.54 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.54 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.54 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.54 thf(func_def_15, type, mtrue: $i > $o).
% 0.22/0.54 thf(func_def_16, type, mfalse: $i > $o).
% 0.22/0.54 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.54 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.54 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.22/0.54 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.22/0.54 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.22/0.54 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.22/0.54 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.22/0.54 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.22/0.54 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.22/0.54 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.22/0.54 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.22/0.54 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.22/0.54 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.22/0.54 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.22/0.54 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.22/0.54 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.22/0.54 thf(func_def_33, type, a1: $i > $i > $o).
% 0.22/0.54 thf(func_def_34, type, a2: $i > $i > $o).
% 0.22/0.54 thf(func_def_35, type, a3: $i > $i > $o).
% 0.22/0.54 thf(func_def_36, type, jan: mu).
% 0.22/0.54 thf(func_def_37, type, piotr: mu).
% 0.22/0.54 thf(func_def_38, type, cola: mu).
% 0.22/0.54 thf(func_def_39, type, pepsi: mu).
% 0.22/0.54 thf(func_def_40, type, beer: mu).
% 0.22/0.54 thf(func_def_41, type, likes: mu > mu > $i > $o).
% 0.22/0.54 thf(func_def_42, type, very_much_likes: mu > mu > $i > $o).
% 0.22/0.54 thf(func_def_43, type, possibly_likes: mu > mu > $i > $o).
% 0.22/0.54 thf(func_def_44, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.22/0.54 thf(func_def_45, type, cond4s: ($i > $i > $o) > ($i > $i > $o) > $o).
% 0.22/0.54 thf(func_def_63, type, sK2: $i > $i).
% 0.22/0.54 thf(func_def_64, type, sK3: $i > $i).
% 0.22/0.54 thf(func_def_65, type, sK4: mu > $i > mu > $i).
% 0.22/0.54 thf(func_def_66, type, sK5: mu > $i > mu > $i).
% 0.22/0.54 thf(func_def_67, type, sK6: $i > $i).
% 0.22/0.54 thf(func_def_68, type, sK7: $i > $i).
% 0.22/0.54 thf(func_def_69, type, sK8: $i > $i).
% 0.22/0.54 thf(func_def_70, type, sK9: mu > $i > mu > $i).
% 0.22/0.54 thf(f1381,plain,(
% 0.22/0.54 $false),
% 0.22/0.54 inference(avatar_sat_refutation,[],[f1225,f1258,f1380])).
% 0.22/0.54 thf(f1380,plain,(
% 0.22/0.54 ~spl0_1),
% 0.22/0.54 inference(avatar_contradiction_clause,[],[f1379])).
% 0.22/0.54 thf(f1379,plain,(
% 0.22/0.54 $false | ~spl0_1),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1378])).
% 0.22/0.54 thf(f1378,plain,(
% 0.22/0.54 ($true = $false) | ~spl0_1),
% 0.22/0.54 inference(forward_demodulation,[],[f1363,f350])).
% 0.22/0.54 thf(f350,plain,(
% 0.22/0.54 ( ! [X2 : mu,X1 : mu] : (((very_much_likes @ X1 @ X2 @ sK1) = $false)) )),
% 0.22/0.54 inference(not_proxy_clausification,[],[f349])).
% 0.22/0.54 thf(f349,plain,(
% 0.22/0.54 ( ! [X2 : mu,X1 : mu] : (($true = (~ (very_much_likes @ X1 @ X2 @ sK1)))) )),
% 0.22/0.54 inference(beta_eta_normalization,[],[f348])).
% 0.22/0.54 thf(f348,plain,(
% 0.22/0.54 ( ! [X2 : mu,X1 : mu] : (($true = ((^[Y0 : mu]: (~ (very_much_likes @ X1 @ Y0 @ sK1))) @ X2))) )),
% 0.22/0.54 inference(pi_clausification,[],[f347])).
% 0.22/0.54 thf(f347,plain,(
% 0.22/0.54 ( ! [X1 : mu] : (($true = (!! @ mu @ (^[Y0 : mu]: (~ (very_much_likes @ X1 @ Y0 @ sK1)))))) )),
% 0.22/0.54 inference(beta_eta_normalization,[],[f346])).
% 0.22/0.54 thf(f346,plain,(
% 0.22/0.54 ( ! [X1 : mu] : (($true = ((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (~ (very_much_likes @ Y0 @ Y1 @ sK1))))) @ X1))) )),
% 0.22/0.54 inference(pi_clausification,[],[f345])).
% 0.22/0.54 thf(f345,plain,(
% 0.22/0.54 ($true = (!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (~ (very_much_likes @ Y0 @ Y1 @ sK1)))))))),
% 0.22/0.54 inference(not_proxy_clausification,[],[f344])).
% 0.22/0.54 thf(f344,plain,(
% 0.22/0.54 ((~ (!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (~ (very_much_likes @ Y0 @ Y1 @ sK1))))))) = $false)),
% 0.22/0.54 inference(beta_eta_normalization,[],[f343])).
% 0.22/0.54 thf(f343,plain,(
% 0.22/0.54 ($false = ((^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (~ (very_much_likes @ Y1 @ Y2 @ Y0)))))))) @ sK1))),
% 0.22/0.54 inference(sigma_clausification,[],[f342])).
% 0.22/0.54 thf(f342,plain,(
% 0.22/0.54 ($true != (!! @ $i @ (^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (~ (very_much_likes @ Y1 @ Y2 @ Y0))))))))))),
% 0.22/0.54 inference(boolean_simplification,[],[f341])).
% 0.22/0.54 thf(f341,plain,(
% 0.22/0.54 ($true != (!! @ $i @ (^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (~ (~ (!! @ mu @ (^[Y2 : mu]: (~ (very_much_likes @ Y1 @ Y2 @ Y0))))))))))))),
% 0.22/0.54 inference(beta_eta_normalization,[],[f331])).
% 0.22/0.54 thf(f331,plain,(
% 0.22/0.54 ($true != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : mu > $i > $o]: ((^[Y3 : $i]: (!! @ mu @ (^[Y4 : mu]: (Y2 @ Y4 @ Y3)))))) @ (^[Y2 : mu]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ (Y1 @ Y2)))))) @ (^[Y1 : mu]: (very_much_likes @ Y0 @ Y1)))))))),
% 0.22/0.54 inference(definition_unfolding,[],[f271,f221,f297,f297])).
% 0.22/0.54 thf(f297,plain,(
% 0.22/0.54 (mexists_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (~ (Y1 @ Y2))))) @ ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ (Y0 @ Y1)))))))),
% 0.22/0.54 inference(definition_unfolding,[],[f265,f242,f234,f242])).
% 0.22/0.54 thf(f234,plain,(
% 0.22/0.54 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 0.22/0.54 inference(cnf_transformation,[],[f94])).
% 0.22/0.54 thf(f94,plain,(
% 0.22/0.54 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 0.22/0.54 inference(fool_elimination,[],[f93])).
% 0.22/0.54 thf(f93,plain,(
% 0.22/0.54 ((^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : (X0 @ X2 @ X1))) = mforall_ind)),
% 0.22/0.54 inference(rectify,[],[f10])).
% 0.22/0.54 thf(f10,axiom,(
% 0.22/0.54 ((^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : (X3 @ X0 @ X2))) = mforall_ind)),
% 0.22/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_ind)).
% 0.22/0.54 thf(f242,plain,(
% 0.22/0.54 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.22/0.54 inference(cnf_transformation,[],[f90])).
% 0.22/0.54 thf(f90,plain,(
% 0.22/0.54 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.22/0.54 inference(fool_elimination,[],[f89])).
% 0.22/0.54 thf(f89,plain,(
% 0.22/0.54 (mnot = (^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))))),
% 0.22/0.54 inference(rectify,[],[f3])).
% 0.22/0.54 thf(f3,axiom,(
% 0.22/0.54 (mnot = (^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))))),
% 0.22/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 0.22/0.54 thf(f265,plain,(
% 0.22/0.54 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 0.22/0.54 inference(cnf_transformation,[],[f108])).
% 0.22/0.54 thf(f108,plain,(
% 0.22/0.54 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 0.22/0.54 inference(fool_elimination,[],[f107])).
% 0.22/0.54 thf(f107,plain,(
% 0.22/0.54 ((^[X0 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X1 : mu] : (mnot @ (X0 @ X1)))))) = mexists_ind)),
% 0.22/0.54 inference(rectify,[],[f12])).
% 0.22/0.54 thf(f12,axiom,(
% 0.22/0.54 ((^[X3 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X0 : mu] : (mnot @ (X3 @ X0)))))) = mexists_ind)),
% 0.22/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_ind)).
% 0.22/0.54 thf(f221,plain,(
% 0.22/0.54 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.54 inference(cnf_transformation,[],[f174])).
% 0.22/0.54 thf(f174,plain,(
% 0.22/0.54 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.54 inference(fool_elimination,[],[f173])).
% 0.22/0.54 thf(f173,plain,(
% 0.22/0.54 (mvalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.22/0.54 inference(rectify,[],[f28])).
% 0.22/0.54 thf(f28,axiom,(
% 0.22/0.54 (mvalid = (^[X3 : $i > $o] : (! [X2] : (X3 @ X2))))),
% 0.22/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.22/0.54 thf(f271,plain,(
% 0.22/0.54 ($true != (mvalid @ (mexists_ind @ (^[Y0 : mu]: (mexists_ind @ (^[Y1 : mu]: (very_much_likes @ Y0 @ Y1)))))))),
% 0.22/0.54 inference(cnf_transformation,[],[f218])).
% 0.22/0.54 thf(f218,plain,(
% 0.22/0.54 ($true != (mvalid @ (mexists_ind @ (^[Y0 : mu]: (mexists_ind @ (^[Y1 : mu]: (very_much_likes @ Y0 @ Y1)))))))),
% 0.22/0.54 inference(flattening,[],[f112])).
% 0.22/0.54 thf(f112,plain,(
% 0.22/0.54 ~($true = (mvalid @ (mexists_ind @ (^[Y0 : mu]: (mexists_ind @ (^[Y1 : mu]: (very_much_likes @ Y0 @ Y1)))))))),
% 0.22/0.54 inference(fool_elimination,[],[f111])).
% 0.22/0.54 thf(f111,plain,(
% 0.22/0.54 ~(mvalid @ (mexists_ind @ (^[X0 : mu] : (mexists_ind @ (^[X1 : mu] : (very_much_likes @ X0 @ X1))))))),
% 0.22/0.54 inference(rectify,[],[f74])).
% 0.22/0.54 thf(f74,negated_conjecture,(
% 0.22/0.54 ~(mvalid @ (mexists_ind @ (^[X0 : mu] : (mexists_ind @ (^[X1 : mu] : (very_much_likes @ X0 @ X1))))))),
% 0.22/0.54 inference(negated_conjecture,[],[f73])).
% 0.22/0.54 thf(f73,conjecture,(
% 0.22/0.54 (mvalid @ (mexists_ind @ (^[X0 : mu] : (mexists_ind @ (^[X1 : mu] : (very_much_likes @ X0 @ X1))))))),
% 0.22/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 0.22/0.54 thf(f1363,plain,(
% 0.22/0.54 ( ! [X0 : mu,X1 : mu] : (($true = (very_much_likes @ X1 @ X0 @ sK1))) ) | ~spl0_1),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1339])).
% 0.22/0.54 thf(f1339,plain,(
% 0.22/0.54 ( ! [X0 : mu,X1 : mu] : (($true = (very_much_likes @ X1 @ X0 @ sK1)) | ($true = $false)) ) | ~spl0_1),
% 0.22/0.54 inference(superposition,[],[f1286,f630])).
% 0.22/0.54 thf(f630,plain,(
% 0.22/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = (a3 @ X1 @ (sK9 @ X3 @ X1 @ X2))) | ($true = (very_much_likes @ X2 @ X3 @ X1))) )),
% 0.22/0.54 inference(not_proxy_clausification,[],[f628])).
% 0.22/0.54 thf(f628,plain,(
% 0.22/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($false = (~ (a3 @ X1 @ (sK9 @ X3 @ X1 @ X2)))) | ($true = (very_much_likes @ X2 @ X3 @ X1))) )),
% 0.22/0.54 inference(binary_proxy_clausification,[],[f627])).
% 0.22/0.54 thf(f627,plain,(
% 0.22/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i] : ((((very_much_likes @ X2 @ X3 @ (sK9 @ X3 @ X1 @ X2)) | (~ (a3 @ X1 @ (sK9 @ X3 @ X1 @ X2)))) = $false) | ($true = (very_much_likes @ X2 @ X3 @ X1))) )),
% 0.22/0.54 inference(beta_eta_normalization,[],[f626])).
% 0.22/0.54 thf(f626,plain,(
% 0.22/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = (very_much_likes @ X2 @ X3 @ X1)) | (((^[Y0 : $i]: ((very_much_likes @ X2 @ X3 @ Y0) | (~ (a3 @ X1 @ Y0)))) @ (sK9 @ X3 @ X1 @ X2)) = $false)) )),
% 0.22/0.54 inference(sigma_clausification,[],[f625])).
% 0.22/0.54 thf(f625,plain,(
% 0.22/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($false = (!! @ $i @ (^[Y0 : $i]: ((very_much_likes @ X2 @ X3 @ Y0) | (~ (a3 @ X1 @ Y0)))))) | ($true = (very_much_likes @ X2 @ X3 @ X1))) )),
% 0.22/0.54 inference(not_proxy_clausification,[],[f624])).
% 0.22/0.54 thf(f624,plain,(
% 0.22/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = (very_much_likes @ X2 @ X3 @ X1)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((very_much_likes @ X2 @ X3 @ Y0) | (~ (a3 @ X1 @ Y0)))))))) )),
% 0.22/0.54 inference(binary_proxy_clausification,[],[f623])).
% 0.22/0.54 thf(f623,plain,(
% 0.22/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((very_much_likes @ X2 @ X3 @ Y0) | (~ (a3 @ X1 @ Y0)))))) | (very_much_likes @ X2 @ X3 @ X1)))) )),
% 0.22/0.54 inference(beta_eta_normalization,[],[f622])).
% 0.22/0.54 thf(f622,plain,(
% 0.22/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: ((~ (!! @ $i @ (^[Y1 : $i]: ((very_much_likes @ X2 @ Y0 @ Y1) | (~ (a3 @ X1 @ Y1)))))) | (very_much_likes @ X2 @ Y0 @ X1))) @ X3))) )),
% 0.22/0.54 inference(pi_clausification,[],[f621])).
% 0.22/0.54 thf(f621,plain,(
% 0.22/0.54 ( ! [X2 : mu,X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: ((~ (!! @ $i @ (^[Y1 : $i]: ((very_much_likes @ X2 @ Y0 @ Y1) | (~ (a3 @ X1 @ Y1)))))) | (very_much_likes @ X2 @ Y0 @ X1)))) = $true)) )),
% 0.22/0.54 inference(beta_eta_normalization,[],[f620])).
% 0.22/0.54 thf(f620,plain,(
% 0.22/0.54 ( ! [X2 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((~ (!! @ $i @ (^[Y2 : $i]: ((very_much_likes @ Y0 @ Y1 @ Y2) | (~ (a3 @ X1 @ Y2)))))) | (very_much_likes @ Y0 @ Y1 @ X1))))) @ X2))) )),
% 0.22/0.54 inference(pi_clausification,[],[f619])).
% 0.22/0.54 thf(f619,plain,(
% 0.22/0.54 ( ! [X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: ((~ (!! @ $i @ (^[Y2 : $i]: ((very_much_likes @ Y0 @ Y1 @ Y2) | (~ (a3 @ X1 @ Y2)))))) | (very_much_likes @ Y0 @ Y1 @ X1)))))))) )),
% 0.22/0.54 inference(beta_eta_normalization,[],[f618])).
% 0.22/0.54 thf(f618,plain,(
% 0.22/0.54 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((~ (!! @ $i @ (^[Y3 : $i]: ((very_much_likes @ Y1 @ Y2 @ Y3) | (~ (a3 @ Y0 @ Y3)))))) | (very_much_likes @ Y1 @ Y2 @ Y0))))))) @ X1))) )),
% 0.22/0.54 inference(pi_clausification,[],[f617])).
% 0.22/0.54 thf(f617,plain,(
% 0.22/0.54 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: ((~ (!! @ $i @ (^[Y3 : $i]: ((very_much_likes @ Y1 @ Y2 @ Y3) | (~ (a3 @ Y0 @ Y3)))))) | (very_much_likes @ Y1 @ Y2 @ Y0)))))))))),
% 0.22/0.54 inference(beta_eta_normalization,[],[f338])).
% 0.22/0.54 thf(f338,plain,(
% 0.22/0.54 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (Y2 @ Y4 @ Y5)))))))))) @ a3 @ (very_much_likes @ Y0 @ Y1)) @ (very_much_likes @ Y0 @ Y1))))))))),
% 0.22/0.54 inference(definition_unfolding,[],[f283,f221,f234,f234,f293,f268])).
% 0.22/0.54 thf(f268,plain,(
% 0.22/0.54 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 0.22/0.54 inference(cnf_transformation,[],[f136])).
% 0.22/0.54 thf(f136,plain,(
% 0.22/0.54 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))))),
% 0.22/0.54 inference(fool_elimination,[],[f135])).
% 0.22/0.54 thf(f135,plain,(
% 0.22/0.54 ((^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : (~(X0 @ X2 @ X3) | (X1 @ X3)))) = mbox)),
% 0.22/0.54 inference(rectify,[],[f16])).
% 0.22/0.54 thf(f16,axiom,(
% 0.22/0.54 ((^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : (~(X6 @ X2 @ X7) | (X3 @ X7)))) = mbox)),
% 0.22/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
% 0.22/0.54 thf(f293,plain,(
% 0.22/0.54 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ Y1)))))),
% 0.22/0.54 inference(definition_unfolding,[],[f272,f235,f242])).
% 0.22/0.54 thf(f235,plain,(
% 0.22/0.54 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.22/0.54 inference(cnf_transformation,[],[f126])).
% 0.22/0.54 thf(f126,plain,(
% 0.22/0.54 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y0 @ Y2) | (Y1 @ Y2))))))))),
% 0.22/0.54 inference(fool_elimination,[],[f125])).
% 0.22/0.54 thf(f125,plain,(
% 0.22/0.54 ((^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X1 @ X2) | (X0 @ X2))) = mor)),
% 0.22/0.54 inference(rectify,[],[f4])).
% 0.22/0.54 thf(f4,axiom,(
% 0.22/0.54 ((^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X4 @ X2) | (X3 @ X2))) = mor)),
% 0.22/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 0.22/0.54 thf(f272,plain,(
% 0.22/0.54 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.22/0.54 inference(cnf_transformation,[],[f164])).
% 0.22/0.54 thf(f164,plain,(
% 0.22/0.54 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.22/0.54 inference(fool_elimination,[],[f163])).
% 0.22/0.54 thf(f163,plain,(
% 0.22/0.54 ((^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)) = mimplies)),
% 0.22/0.54 inference(rectify,[],[f6])).
% 0.22/0.54 thf(f6,axiom,(
% 0.22/0.54 ((^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)) = mimplies)),
% 0.22/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
% 0.22/0.54 thf(f283,plain,(
% 0.22/0.54 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mbox @ a3 @ (very_much_likes @ Y0 @ Y1)) @ (very_much_likes @ Y0 @ Y1))))))))),
% 0.22/0.54 inference(cnf_transformation,[],[f152])).
% 0.22/0.54 thf(f152,plain,(
% 0.22/0.54 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mimplies @ (mbox @ a3 @ (very_much_likes @ Y0 @ Y1)) @ (very_much_likes @ Y0 @ Y1))))))))),
% 0.22/0.54 inference(fool_elimination,[],[f151])).
% 0.22/0.54 thf(f151,plain,(
% 0.22/0.54 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mbox @ a3 @ (very_much_likes @ X0 @ X1)) @ (very_much_likes @ X0 @ X1)))))))),
% 0.22/0.54 inference(rectify,[],[f45])).
% 0.22/0.54 thf(f45,axiom,(
% 0.22/0.54 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mimplies @ (mbox @ a3 @ (very_much_likes @ X0 @ X1)) @ (very_much_likes @ X0 @ X1)))))))),
% 0.22/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_user_communication_1)).
% 0.22/0.54 thf(f1286,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (((a3 @ sK1 @ X0) = $false)) ) | ~spl0_1),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1261])).
% 0.22/0.54 thf(f1261,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (((a3 @ sK1 @ X0) = $false) | ($true = $false)) ) | ~spl0_1),
% 0.22/0.54 inference(superposition,[],[f1219,f431])).
% 0.22/0.54 thf(f431,plain,(
% 0.22/0.54 ( ! [X2 : $i,X1 : $i] : (($true = (a3 @ X2 @ X1)) | ((a3 @ X1 @ X2) = $false)) )),
% 0.22/0.54 inference(binary_proxy_clausification,[],[f430])).
% 0.22/0.54 thf(f430,plain,(
% 0.22/0.54 ( ! [X2 : $i,X1 : $i] : (($true = ((a3 @ X1 @ X2) => (a3 @ X2 @ X1)))) )),
% 0.22/0.54 inference(beta_eta_normalization,[],[f429])).
% 0.22/0.54 thf(f429,plain,(
% 0.22/0.54 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((a3 @ X1 @ Y0) => (a3 @ Y0 @ X1))) @ X2))) )),
% 0.22/0.54 inference(pi_clausification,[],[f428])).
% 0.22/0.54 thf(f428,plain,(
% 0.22/0.54 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((a3 @ X1 @ Y0) => (a3 @ Y0 @ X1)))))) )),
% 0.22/0.54 inference(beta_eta_normalization,[],[f427])).
% 0.22/0.54 thf(f427,plain,(
% 0.22/0.54 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((a3 @ Y0 @ Y1) => (a3 @ Y1 @ Y0))))) @ X1))) )),
% 0.22/0.54 inference(pi_clausification,[],[f426])).
% 0.22/0.54 thf(f426,plain,(
% 0.22/0.54 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((a3 @ Y0 @ Y1) => (a3 @ Y1 @ Y0)))))))),
% 0.22/0.54 inference(beta_eta_normalization,[],[f311])).
% 0.22/0.54 thf(f311,plain,(
% 0.22/0.54 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ Y1))))))) @ a3))),
% 0.22/0.54 inference(definition_unfolding,[],[f239,f290])).
% 0.22/0.54 thf(f290,plain,(
% 0.22/0.54 (msymmetric = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ Y1))))))))),
% 0.22/0.54 inference(cnf_transformation,[],[f110])).
% 0.22/0.54 thf(f110,plain,(
% 0.22/0.54 (msymmetric = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ Y1))))))))),
% 0.22/0.54 inference(fool_elimination,[],[f109])).
% 0.22/0.54 thf(f109,plain,(
% 0.22/0.54 ((^[X0 : $i > $i > $o] : (! [X1,X2] : ((X0 @ X2 @ X1) => (X0 @ X1 @ X2)))) = msymmetric)),
% 0.22/0.54 inference(rectify,[],[f19])).
% 0.22/0.54 thf(f19,axiom,(
% 0.22/0.54 ((^[X6 : $i > $i > $o] : (! [X9,X8] : ((X6 @ X8 @ X9) => (X6 @ X9 @ X8)))) = msymmetric)),
% 0.22/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',msymmetric)).
% 0.22/0.54 thf(f239,plain,(
% 0.22/0.54 ((msymmetric @ a3) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f150])).
% 0.22/0.54 thf(f150,plain,(
% 0.22/0.54 ((msymmetric @ a3) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f149])).
% 0.22/0.54 thf(f149,plain,(
% 0.22/0.54 (msymmetric @ a3)),
% 0.22/0.54 inference(rectify,[],[f52])).
% 0.22/0.54 thf(f52,axiom,(
% 0.22/0.54 (msymmetric @ a3)),
% 0.22/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_B_a3)).
% 0.22/0.54 thf(f1219,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($false = (a3 @ X0 @ sK1))) ) | ~spl0_1),
% 0.22/0.54 inference(avatar_component_clause,[],[f1218])).
% 0.22/0.54 thf(f1218,plain,(
% 0.22/0.54 spl0_1 <=> ! [X0] : ($false = (a3 @ X0 @ sK1))),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 0.22/0.54 thf(f1258,plain,(
% 0.22/0.54 spl0_1 | ~spl0_2),
% 0.22/0.54 inference(avatar_split_clause,[],[f1238,f1221,f1218])).
% 0.22/0.54 thf(f1221,plain,(
% 0.22/0.54 spl0_2 <=> ((likes @ jan @ cola @ sK1) = $false)),
% 0.22/0.54 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 0.22/0.54 thf(f1238,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($false = (a3 @ X0 @ sK1))) ) | ~spl0_2),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1233])).
% 0.22/0.54 thf(f1233,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($true = $false) | ($false = (a3 @ X0 @ sK1))) ) | ~spl0_2),
% 0.22/0.54 inference(superposition,[],[f528,f1223])).
% 0.22/0.54 thf(f1223,plain,(
% 0.22/0.54 ((likes @ jan @ cola @ sK1) = $false) | ~spl0_2),
% 0.22/0.54 inference(avatar_component_clause,[],[f1221])).
% 0.22/0.54 thf(f528,plain,(
% 0.22/0.54 ( ! [X2 : $i,X1 : $i] : (($true = (likes @ jan @ cola @ X2)) | ((a3 @ X1 @ X2) = $false)) )),
% 0.22/0.54 inference(not_proxy_clausification,[],[f527])).
% 0.22/0.54 thf(f527,plain,(
% 0.22/0.54 ( ! [X2 : $i,X1 : $i] : (($true = (likes @ jan @ cola @ X2)) | ($true = (~ (a3 @ X1 @ X2)))) )),
% 0.22/0.54 inference(binary_proxy_clausification,[],[f526])).
% 0.22/0.54 thf(f526,plain,(
% 0.22/0.54 ( ! [X2 : $i,X1 : $i] : (($true = ((likes @ jan @ cola @ X2) | (~ (a3 @ X1 @ X2))))) )),
% 0.22/0.54 inference(beta_eta_normalization,[],[f525])).
% 0.22/0.54 thf(f525,plain,(
% 0.22/0.54 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a3 @ X1 @ Y0)))) @ X2))) )),
% 0.22/0.54 inference(pi_clausification,[],[f524])).
% 0.22/0.54 thf(f524,plain,(
% 0.22/0.54 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a3 @ X1 @ Y0))))))) )),
% 0.22/0.54 inference(beta_eta_normalization,[],[f523])).
% 0.22/0.54 thf(f523,plain,(
% 0.22/0.54 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ cola @ Y1) | (~ (a3 @ Y0 @ Y1)))))) @ X1))) )),
% 0.22/0.54 inference(pi_clausification,[],[f522])).
% 0.22/0.54 thf(f522,plain,(
% 0.22/0.54 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ cola @ Y1) | (~ (a3 @ Y0 @ Y1))))))))),
% 0.22/0.54 inference(beta_eta_normalization,[],[f330])).
% 0.22/0.54 thf(f330,plain,(
% 0.22/0.54 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))) @ a3 @ (likes @ jan @ cola))))),
% 0.22/0.54 inference(definition_unfolding,[],[f270,f221,f268])).
% 0.22/0.54 thf(f270,plain,(
% 0.22/0.54 ((mvalid @ (mbox @ a3 @ (likes @ jan @ cola))) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f213])).
% 0.22/0.54 thf(f213,plain,(
% 0.22/0.54 ((mvalid @ (mbox @ a3 @ (likes @ jan @ cola))) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f212])).
% 0.22/0.54 thf(f212,plain,(
% 0.22/0.54 (mvalid @ (mbox @ a3 @ (likes @ jan @ cola)))),
% 0.22/0.54 inference(rectify,[],[f41])).
% 0.22/0.54 thf(f41,axiom,(
% 0.22/0.54 (mvalid @ (mbox @ a3 @ (likes @ jan @ cola)))),
% 0.22/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_1)).
% 0.22/0.54 thf(f1225,plain,(
% 0.22/0.54 spl0_1 | spl0_2),
% 0.22/0.54 inference(avatar_split_clause,[],[f1214,f1221,f1218])).
% 0.22/0.54 thf(f1214,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (($false = (a3 @ X0 @ sK1)) | ((likes @ jan @ cola @ sK1) = $false)) )),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1212])).
% 0.22/0.54 thf(f1212,plain,(
% 0.22/0.54 ( ! [X0 : $i] : (((likes @ jan @ cola @ sK1) = $false) | ($false = (a3 @ X0 @ sK1)) | ($true = $false)) )),
% 0.22/0.54 inference(superposition,[],[f350,f1201])).
% 0.22/0.54 thf(f1201,plain,(
% 0.22/0.54 ( ! [X0 : $i,X1 : $i] : (($true = (very_much_likes @ jan @ cola @ X0)) | ((likes @ jan @ cola @ X0) = $false) | ((a3 @ X1 @ X0) = $false)) )),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1175])).
% 0.22/0.54 thf(f1175,plain,(
% 0.22/0.54 ( ! [X0 : $i,X1 : $i] : (((a3 @ X1 @ X0) = $false) | ($true = $false) | ($true = (very_much_likes @ jan @ cola @ X0)) | ((likes @ jan @ cola @ X0) = $false)) )),
% 0.22/0.54 inference(superposition,[],[f368,f1153])).
% 0.22/0.54 thf(f1153,plain,(
% 0.22/0.54 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((a1 @ (sK4 @ cola @ X1 @ jan) @ X0) = $false) | ($false = (likes @ jan @ cola @ X1)) | ($false = (a3 @ X2 @ X1)) | ($true = (very_much_likes @ jan @ cola @ X1))) )),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1144])).
% 0.22/0.54 thf(f1144,plain,(
% 0.22/0.54 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = $false) | ($false = (likes @ jan @ cola @ X1)) | ($true = (very_much_likes @ jan @ cola @ X1)) | ((a1 @ (sK4 @ cola @ X1 @ jan) @ X0) = $false) | ($false = (a3 @ X2 @ X1))) )),
% 0.22/0.54 inference(superposition,[],[f1137,f682])).
% 0.22/0.54 thf(f682,plain,(
% 0.22/0.54 ( ! [X2 : $i,X1 : $i] : (($true = (a1 @ X2 @ X1)) | ($false = (a1 @ X1 @ X2))) )),
% 0.22/0.54 inference(binary_proxy_clausification,[],[f681])).
% 0.22/0.54 thf(f681,plain,(
% 0.22/0.54 ( ! [X2 : $i,X1 : $i] : (($true = ((a1 @ X1 @ X2) => (a1 @ X2 @ X1)))) )),
% 0.22/0.54 inference(beta_eta_normalization,[],[f680])).
% 0.22/0.54 thf(f680,plain,(
% 0.22/0.54 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((a1 @ X1 @ Y0) => (a1 @ Y0 @ X1))) @ X2))) )),
% 0.22/0.54 inference(pi_clausification,[],[f679])).
% 0.22/0.54 thf(f679,plain,(
% 0.22/0.54 ( ! [X1 : $i] : (((!! @ $i @ (^[Y0 : $i]: ((a1 @ X1 @ Y0) => (a1 @ Y0 @ X1)))) = $true)) )),
% 0.22/0.54 inference(beta_eta_normalization,[],[f678])).
% 0.22/0.54 thf(f678,plain,(
% 0.22/0.54 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((a1 @ Y0 @ Y1) => (a1 @ Y1 @ Y0))))) @ X1))) )),
% 0.22/0.54 inference(pi_clausification,[],[f677])).
% 0.22/0.54 thf(f677,plain,(
% 0.22/0.54 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((a1 @ Y0 @ Y1) => (a1 @ Y1 @ Y0)))))))),
% 0.22/0.54 inference(beta_eta_normalization,[],[f304])).
% 0.22/0.54 thf(f304,plain,(
% 0.22/0.54 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ Y2 @ Y1))))))) @ a1))),
% 0.22/0.54 inference(definition_unfolding,[],[f226,f290])).
% 0.22/0.54 thf(f226,plain,(
% 0.22/0.54 ((msymmetric @ a1) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f202])).
% 0.22/0.54 thf(f202,plain,(
% 0.22/0.54 ((msymmetric @ a1) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f201])).
% 0.22/0.54 thf(f201,plain,(
% 0.22/0.54 (msymmetric @ a1)),
% 0.22/0.54 inference(rectify,[],[f50])).
% 0.22/0.54 thf(f50,axiom,(
% 0.22/0.54 (msymmetric @ a1)),
% 0.22/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_B_a1)).
% 0.22/0.54 thf(f1137,plain,(
% 0.22/0.54 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (a1 @ X2 @ (sK4 @ cola @ X0 @ jan))) | ((likes @ jan @ cola @ X0) = $false) | ((a3 @ X1 @ X0) = $false) | ($true = (very_much_likes @ jan @ cola @ X0))) )),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1104])).
% 0.22/0.54 thf(f1104,plain,(
% 0.22/0.54 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($false = (a1 @ X2 @ (sK4 @ cola @ X0 @ jan))) | ($true = (very_much_likes @ jan @ cola @ X0)) | ((a3 @ X1 @ X0) = $false) | ($true = $false) | ((likes @ jan @ cola @ X0) = $false)) )),
% 0.22/0.54 inference(superposition,[],[f1034,f568])).
% 0.22/0.54 thf(f568,plain,(
% 0.22/0.54 ( ! [X1 : $i] : (($true = (a3 @ X1 @ (sK6 @ X1)))) )),
% 0.22/0.54 inference(sigma_clausification,[],[f567])).
% 0.22/0.54 thf(f567,plain,(
% 0.22/0.54 ( ! [X1 : $i] : (($true = (?? @ $i @ (a3 @ X1)))) )),
% 0.22/0.54 inference(beta_eta_normalization,[],[f566])).
% 0.22/0.54 thf(f566,plain,(
% 0.22/0.54 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (?? @ $i @ (a3 @ Y0))) @ X1))) )),
% 0.22/0.54 inference(pi_clausification,[],[f565])).
% 0.22/0.54 thf(f565,plain,(
% 0.22/0.54 ($true = (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (a3 @ Y0)))))),
% 0.22/0.54 inference(beta_eta_normalization,[],[f319])).
% 0.22/0.54 thf(f319,plain,(
% 0.22/0.54 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))) @ a3))),
% 0.22/0.54 inference(definition_unfolding,[],[f252,f277])).
% 0.22/0.54 thf(f277,plain,(
% 0.22/0.54 (mserial = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))))),
% 0.22/0.54 inference(cnf_transformation,[],[f146])).
% 0.22/0.54 thf(f146,plain,(
% 0.22/0.54 (mserial = (^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))))),
% 0.22/0.54 inference(fool_elimination,[],[f145])).
% 0.22/0.54 thf(f145,plain,(
% 0.22/0.54 (mserial = (^[X0 : $i > $i > $o] : (! [X1] : ? [X2] : (X0 @ X1 @ X2))))),
% 0.22/0.54 inference(rectify,[],[f20])).
% 0.22/0.54 thf(f20,axiom,(
% 0.22/0.54 (mserial = (^[X6 : $i > $i > $o] : (! [X8] : ? [X9] : (X6 @ X8 @ X9))))),
% 0.22/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mserial)).
% 0.22/0.54 thf(f252,plain,(
% 0.22/0.54 ((mserial @ a3) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f172])).
% 0.22/0.54 thf(f172,plain,(
% 0.22/0.54 ((mserial @ a3) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f171])).
% 0.22/0.54 thf(f171,plain,(
% 0.22/0.54 (mserial @ a3)),
% 0.22/0.54 inference(rectify,[],[f55])).
% 0.22/0.54 thf(f55,axiom,(
% 0.22/0.54 (mserial @ a3)),
% 0.22/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_D_a3)).
% 0.22/0.54 thf(f1034,plain,(
% 0.22/0.54 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (a3 @ (sK5 @ cola @ X1 @ jan) @ X0)) | ($false = (a3 @ X2 @ X1)) | ($true = (very_much_likes @ jan @ cola @ X1)) | ($false = (likes @ jan @ cola @ X1)) | ((a1 @ X3 @ (sK4 @ cola @ X1 @ jan)) = $false)) )),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f1015])).
% 0.22/0.54 thf(f1015,plain,(
% 0.22/0.54 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (a3 @ (sK5 @ cola @ X1 @ jan) @ X0)) | ($false = (a3 @ X2 @ X1)) | ($false = (likes @ jan @ cola @ X1)) | ($true = $false) | ((a1 @ X3 @ (sK4 @ cola @ X1 @ jan)) = $false) | ($true = (very_much_likes @ jan @ cola @ X1))) )),
% 0.22/0.54 inference(superposition,[],[f431,f1003])).
% 0.22/0.54 thf(f1003,plain,(
% 0.22/0.54 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (a3 @ X3 @ (sK5 @ cola @ X0 @ jan))) | ($true = (very_much_likes @ jan @ cola @ X0)) | ($false = (a3 @ X2 @ X0)) | ((likes @ jan @ cola @ X0) = $false) | ($false = (a1 @ X1 @ (sK4 @ cola @ X0 @ jan)))) )),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f990])).
% 0.22/0.54 thf(f990,plain,(
% 0.22/0.54 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($true = (very_much_likes @ jan @ cola @ X0)) | ($false = (a3 @ X2 @ X0)) | ($false = (a1 @ X1 @ (sK4 @ cola @ X0 @ jan))) | ((likes @ jan @ cola @ X0) = $false) | ($true = $false) | ($false = (a3 @ X3 @ (sK5 @ cola @ X0 @ jan)))) )),
% 0.22/0.54 inference(superposition,[],[f707,f969])).
% 0.22/0.54 thf(f969,plain,(
% 0.22/0.54 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((likes @ jan @ cola @ (sK4 @ cola @ X0 @ jan)) = $false) | ($false = (a3 @ X2 @ X0)) | ((likes @ jan @ cola @ X0) = $false) | ($true = (very_much_likes @ jan @ cola @ X0)) | ($false = (a3 @ X1 @ (sK5 @ cola @ X0 @ jan)))) )),
% 0.22/0.54 inference(trivial_inequality_removal,[],[f954])).
% 0.22/0.54 thf(f954,plain,(
% 0.22/0.54 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = $false) | ($false = (a3 @ X2 @ X0)) | ((likes @ jan @ cola @ (sK4 @ cola @ X0 @ jan)) = $false) | ($false = (a3 @ X1 @ (sK5 @ cola @ X0 @ jan))) | ($true = (very_much_likes @ jan @ cola @ X0)) | ((likes @ jan @ cola @ X0) = $false)) )),
% 0.22/0.54 inference(superposition,[],[f528,f506])).
% 0.22/0.54 thf(f506,plain,(
% 0.22/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($false = (likes @ X2 @ X3 @ (sK5 @ X3 @ X4 @ X2))) | ($false = (likes @ X2 @ X3 @ X4)) | ((a3 @ X1 @ X4) = $false) | ($false = (likes @ X2 @ X3 @ (sK4 @ X3 @ X4 @ X2))) | ($true = (very_much_likes @ X2 @ X3 @ X4))) )),
% 0.22/0.54 inference(binary_proxy_clausification,[],[f504])).
% 0.22/0.54 thf(f504,plain,(
% 0.22/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((a3 @ X1 @ X4) = $false) | (((likes @ X2 @ X3 @ (sK4 @ X3 @ X4 @ X2)) | (~ (a2 @ X4 @ (sK4 @ X3 @ X4 @ X2)))) = $false) | ($false = (likes @ X2 @ X3 @ (sK5 @ X3 @ X4 @ X2))) | ($false = (likes @ X2 @ X3 @ X4)) | ($true = (very_much_likes @ X2 @ X3 @ X4))) )),
% 0.22/0.54 inference(binary_proxy_clausification,[],[f502])).
% 0.22/0.54 thf(f502,plain,(
% 0.22/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (((a3 @ X1 @ X4) = $false) | (((likes @ X2 @ X3 @ (sK5 @ X3 @ X4 @ X2)) | (~ (a1 @ X4 @ (sK5 @ X3 @ X4 @ X2)))) = $false) | ($false = (likes @ X2 @ X3 @ X4)) | (((likes @ X2 @ X3 @ (sK4 @ X3 @ X4 @ X2)) | (~ (a2 @ X4 @ (sK4 @ X3 @ X4 @ X2)))) = $false) | ($true = (very_much_likes @ X2 @ X3 @ X4))) )),
% 0.22/0.54 inference(beta_eta_normalization,[],[f501])).
% 0.22/0.54 thf(f501,plain,(
% 0.22/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($false = ((^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))) @ (sK5 @ X3 @ X4 @ X2))) | ($false = (likes @ X2 @ X3 @ X4)) | ($true = (very_much_likes @ X2 @ X3 @ X4)) | ((a3 @ X1 @ X4) = $false) | (((likes @ X2 @ X3 @ (sK4 @ X3 @ X4 @ X2)) | (~ (a2 @ X4 @ (sK4 @ X3 @ X4 @ X2)))) = $false)) )),
% 0.22/0.54 inference(sigma_clausification,[],[f500])).
% 0.22/0.54 thf(f500,plain,(
% 0.22/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (very_much_likes @ X2 @ X3 @ X4)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))))) | ((a3 @ X1 @ X4) = $false) | (((likes @ X2 @ X3 @ (sK4 @ X3 @ X4 @ X2)) | (~ (a2 @ X4 @ (sK4 @ X3 @ X4 @ X2)))) = $false) | ($false = (likes @ X2 @ X3 @ X4))) )),
% 0.22/0.54 inference(beta_eta_normalization,[],[f499])).
% 0.22/0.54 thf(f499,plain,(
% 0.22/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (very_much_likes @ X2 @ X3 @ X4)) | (((^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))) @ (sK4 @ X3 @ X4 @ X2)) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))))) | ((a3 @ X1 @ X4) = $false) | ($false = (likes @ X2 @ X3 @ X4))) )),
% 0.22/0.54 inference(sigma_clausification,[],[f498])).
% 0.22/0.54 thf(f498,plain,(
% 0.22/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (very_much_likes @ X2 @ X3 @ X4)) | ((a3 @ X1 @ X4) = $false) | ((!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0))))) = $false) | ($false = (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))))) | ($false = (likes @ X2 @ X3 @ X4))) )),
% 0.22/0.54 inference(not_proxy_clausification,[],[f497])).
% 0.22/0.54 thf(f497,plain,(
% 0.22/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0))))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))))) | ((a3 @ X1 @ X4) = $false) | ($false = (likes @ X2 @ X3 @ X4)) | ($true = (very_much_likes @ X2 @ X3 @ X4))) )),
% 0.22/0.54 inference(not_proxy_clausification,[],[f496])).
% 0.22/0.54 thf(f496,plain,(
% 0.22/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (very_much_likes @ X2 @ X3 @ X4)) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0))))))) | ($false = (likes @ X2 @ X3 @ X4)) | ((a3 @ X1 @ X4) = $false) | ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))))) )),
% 0.22/0.54 inference(binary_proxy_clausification,[],[f495])).
% 0.22/0.54 thf(f495,plain,(
% 0.22/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($false = (likes @ X2 @ X3 @ X4)) | ((a3 @ X1 @ X4) = $false) | ($true = (very_much_likes @ X2 @ X3 @ X4)) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0))))))))) )),
% 0.22/0.54 inference(not_proxy_clausification,[],[f494])).
% 0.22/0.54 thf(f494,plain,(
% 0.22/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (~ (likes @ X2 @ X3 @ X4))) | ($true = ((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))))) | ($true = (very_much_likes @ X2 @ X3 @ X4)) | ((a3 @ X1 @ X4) = $false)) )),
% 0.22/0.54 inference(binary_proxy_clausification,[],[f493])).
% 0.22/0.54 thf(f493,plain,(
% 0.22/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (very_much_likes @ X2 @ X3 @ X4)) | ($true = ((~ (likes @ X2 @ X3 @ X4)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0))))))))) | ((a3 @ X1 @ X4) = $false)) )),
% 0.22/0.54 inference(not_proxy_clausification,[],[f492])).
% 0.22/0.54 thf(f492,plain,(
% 0.22/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (~ (a3 @ X1 @ X4))) | ($true = (very_much_likes @ X2 @ X3 @ X4)) | ($true = ((~ (likes @ X2 @ X3 @ X4)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))))))) )),
% 0.22/0.54 inference(binary_proxy_clausification,[],[f491])).
% 0.22/0.54 thf(f491,plain,(
% 0.22/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = (((~ (likes @ X2 @ X3 @ X4)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))))) | (very_much_likes @ X2 @ X3 @ X4))) | ($true = (~ (a3 @ X1 @ X4)))) )),
% 0.22/0.54 inference(binary_proxy_clausification,[],[f490])).
% 0.22/0.54 thf(f490,plain,(
% 0.22/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = ((((~ (likes @ X2 @ X3 @ X4)) | ((~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a1 @ X4 @ Y0)))))) | (~ (!! @ $i @ (^[Y0 : $i]: ((likes @ X2 @ X3 @ Y0) | (~ (a2 @ X4 @ Y0)))))))) | (very_much_likes @ X2 @ X3 @ X4)) | (~ (a3 @ X1 @ X4))))) )),
% 0.22/0.54 inference(beta_eta_normalization,[],[f489])).
% 0.22/0.54 thf(f489,plain,(
% 0.22/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i,X4 : $i] : (($true = ((^[Y0 : $i]: ((((~ (likes @ X2 @ X3 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((likes @ X2 @ X3 @ Y1) | (~ (a1 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((likes @ X2 @ X3 @ Y1) | (~ (a2 @ Y0 @ Y1)))))))) | (very_much_likes @ X2 @ X3 @ Y0)) | (~ (a3 @ X1 @ Y0)))) @ X4))) )),
% 0.22/0.54 inference(pi_clausification,[],[f488])).
% 0.22/0.54 thf(f488,plain,(
% 0.22/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((((~ (likes @ X2 @ X3 @ Y0)) | ((~ (!! @ $i @ (^[Y1 : $i]: ((likes @ X2 @ X3 @ Y1) | (~ (a1 @ Y0 @ Y1)))))) | (~ (!! @ $i @ (^[Y1 : $i]: ((likes @ X2 @ X3 @ Y1) | (~ (a2 @ Y0 @ Y1)))))))) | (very_much_likes @ X2 @ X3 @ Y0)) | (~ (a3 @ X1 @ Y0))))))) )),
% 0.22/0.54 inference(beta_eta_normalization,[],[f487])).
% 0.22/0.54 thf(f487,plain,(
% 0.22/0.54 ( ! [X2 : mu,X3 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: ((((~ (likes @ X2 @ Y0 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((likes @ X2 @ Y0 @ Y2) | (~ (a1 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((likes @ X2 @ Y0 @ Y2) | (~ (a2 @ Y1 @ Y2)))))))) | (very_much_likes @ X2 @ Y0 @ Y1)) | (~ (a3 @ X1 @ Y1)))))) @ X3))) )),
% 0.22/0.54 inference(pi_clausification,[],[f486])).
% 0.22/0.54 thf(f486,plain,(
% 0.22/0.54 ( ! [X2 : mu,X1 : $i] : (((!! @ mu @ (^[Y0 : mu]: (!! @ $i @ (^[Y1 : $i]: ((((~ (likes @ X2 @ Y0 @ Y1)) | ((~ (!! @ $i @ (^[Y2 : $i]: ((likes @ X2 @ Y0 @ Y2) | (~ (a1 @ Y1 @ Y2)))))) | (~ (!! @ $i @ (^[Y2 : $i]: ((likes @ X2 @ Y0 @ Y2) | (~ (a2 @ Y1 @ Y2)))))))) | (very_much_likes @ X2 @ Y0 @ Y1)) | (~ (a3 @ X1 @ Y1))))))) = $true)) )),
% 0.22/0.54 inference(beta_eta_normalization,[],[f485])).
% 0.22/0.54 thf(f485,plain,(
% 0.22/0.54 ( ! [X2 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (!! @ $i @ (^[Y2 : $i]: ((((~ (likes @ Y0 @ Y1 @ Y2)) | ((~ (!! @ $i @ (^[Y3 : $i]: ((likes @ Y0 @ Y1 @ Y3) | (~ (a1 @ Y2 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((likes @ Y0 @ Y1 @ Y3) | (~ (a2 @ Y2 @ Y3)))))))) | (very_much_likes @ Y0 @ Y1 @ Y2)) | (~ (a3 @ X1 @ Y2)))))))) @ X2))) )),
% 0.22/0.54 inference(pi_clausification,[],[f484])).
% 0.22/0.54 thf(f484,plain,(
% 0.22/0.54 ( ! [X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: (!! @ mu @ (^[Y1 : mu]: (!! @ $i @ (^[Y2 : $i]: ((((~ (likes @ Y0 @ Y1 @ Y2)) | ((~ (!! @ $i @ (^[Y3 : $i]: ((likes @ Y0 @ Y1 @ Y3) | (~ (a1 @ Y2 @ Y3)))))) | (~ (!! @ $i @ (^[Y3 : $i]: ((likes @ Y0 @ Y1 @ Y3) | (~ (a2 @ Y2 @ Y3)))))))) | (very_much_likes @ Y0 @ Y1 @ Y2)) | (~ (a3 @ X1 @ Y2))))))))))) )),
% 0.22/0.54 inference(beta_eta_normalization,[],[f483])).
% 0.22/0.54 thf(f483,plain,(
% 0.22/0.54 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (!! @ $i @ (^[Y3 : $i]: ((((~ (likes @ Y1 @ Y2 @ Y3)) | ((~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a1 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a2 @ Y3 @ Y4)))))))) | (very_much_likes @ Y1 @ Y2 @ Y3)) | (~ (a3 @ Y0 @ Y3)))))))))) @ X1))) )),
% 0.22/0.54 inference(pi_clausification,[],[f482])).
% 0.22/0.54 thf(f482,plain,(
% 0.22/0.54 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (!! @ $i @ (^[Y3 : $i]: ((((~ (likes @ Y1 @ Y2 @ Y3)) | ((~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a1 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a2 @ Y3 @ Y4)))))))) | (very_much_likes @ Y1 @ Y2 @ Y3)) | (~ (a3 @ Y0 @ Y3))))))))))))),
% 0.22/0.54 inference(boolean_simplification,[],[f481])).
% 0.22/0.54 thf(f481,plain,(
% 0.22/0.54 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (!! @ $i @ (^[Y3 : $i]: ((((~ (likes @ Y1 @ Y2 @ Y3)) | (~ (~ ((~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a1 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a2 @ Y3 @ Y4)))))))))) | (very_much_likes @ Y1 @ Y2 @ Y3)) | (~ (a3 @ Y0 @ Y3))))))))))))),
% 0.22/0.54 inference(boolean_simplification,[],[f480])).
% 0.22/0.54 thf(f480,plain,(
% 0.22/0.54 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: (!! @ mu @ (^[Y2 : mu]: (!! @ $i @ (^[Y3 : $i]: (((~ (~ ((~ (likes @ Y1 @ Y2 @ Y3)) | (~ (~ ((~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a1 @ Y3 @ Y4)))))) | (~ (!! @ $i @ (^[Y4 : $i]: ((likes @ Y1 @ Y2 @ Y4) | (~ (a2 @ Y3 @ Y4)))))))))))) | (very_much_likes @ Y1 @ Y2 @ Y3)) | (~ (a3 @ Y0 @ Y3))))))))))))),
% 0.22/0.54 inference(beta_eta_normalization,[],[f314])).
% 0.22/0.54 thf(f314,plain,(
% 0.22/0.54 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : mu > $i > $o]: ((^[Y2 : $i]: (!! @ mu @ (^[Y3 : mu]: (Y1 @ Y3 @ Y2)))))) @ (^[Y1 : mu]: ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (Y2 @ Y4 @ Y5)))))))))) @ a3 @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ Y3)))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ (likes @ Y0 @ Y1) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i > $o]: ((^[Y6 : $i]: ((Y4 @ Y6) | (Y5 @ Y6))))))) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y2) @ ((^[Y4 : $i > $o]: ((^[Y5 : $i]: (~ (Y4 @ Y5))))) @ Y3)))))) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (Y2 @ Y4 @ Y5)))))))))) @ a1 @ (likes @ Y0 @ Y1)) @ ((^[Y2 : $i > $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (!! @ $i @ (^[Y5 : $i]: ((Y3 @ Y5) | (~ (Y2 @ Y4 @ Y5)))))))))) @ a2 @ (likes @ Y0 @ Y1)))) @ (very_much_likes @ Y0 @ Y1)))))))))),
% 0.22/0.54 inference(definition_unfolding,[],[f244,f221,f234,f234,f268,f293,f292,f292,f268,f268])).
% 0.22/0.54 thf(f292,plain,(
% 0.22/0.54 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i]: ((Y2 @ Y4) | (Y3 @ Y4))))))) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y0) @ ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (~ (Y2 @ Y3))))) @ Y1)))))))),
% 0.22/0.54 inference(definition_unfolding,[],[f237,f242,f235,f242,f242])).
% 0.22/0.54 thf(f237,plain,(
% 0.22/0.54 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 0.22/0.54 inference(cnf_transformation,[],[f196])).
% 0.22/0.54 thf(f196,plain,(
% 0.22/0.54 (mand = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mnot @ (mor @ (mnot @ Y0) @ (mnot @ Y1)))))))),
% 0.22/0.54 inference(fool_elimination,[],[f195])).
% 0.22/0.54 thf(f195,plain,(
% 0.22/0.54 ((^[X0 : $i > $o, X1 : $i > $o] : (mnot @ (mor @ (mnot @ X0) @ (mnot @ X1)))) = mand)),
% 0.22/0.54 inference(rectify,[],[f5])).
% 0.22/0.54 thf(f5,axiom,(
% 0.22/0.54 ((^[X3 : $i > $o, X4 : $i > $o] : (mnot @ (mor @ (mnot @ X3) @ (mnot @ X4)))) = mand)),
% 0.22/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mand)).
% 0.22/0.54 thf(f244,plain,(
% 0.22/0.54 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mbox @ a3 @ (mimplies @ (mand @ (likes @ Y0 @ Y1) @ (mand @ (mbox @ a1 @ (likes @ Y0 @ Y1)) @ (mbox @ a2 @ (likes @ Y0 @ Y1)))) @ (very_much_likes @ Y0 @ Y1)))))))))),
% 0.22/0.54 inference(cnf_transformation,[],[f217])).
% 0.22/0.54 thf(f217,plain,(
% 0.22/0.54 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mforall_ind @ (^[Y1 : mu]: (mbox @ a3 @ (mimplies @ (mand @ (likes @ Y0 @ Y1) @ (mand @ (mbox @ a1 @ (likes @ Y0 @ Y1)) @ (mbox @ a2 @ (likes @ Y0 @ Y1)))) @ (very_much_likes @ Y0 @ Y1)))))))))),
% 0.22/0.54 inference(fool_elimination,[],[f216])).
% 0.22/0.54 thf(f216,plain,(
% 0.22/0.54 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mbox @ a3 @ (mimplies @ (mand @ (likes @ X0 @ X1) @ (mand @ (mbox @ a1 @ (likes @ X0 @ X1)) @ (mbox @ a2 @ (likes @ X0 @ X1)))) @ (very_much_likes @ X0 @ X1))))))))),
% 0.22/0.54 inference(rectify,[],[f44])).
% 0.22/0.54 thf(f44,axiom,(
% 0.22/0.54 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mforall_ind @ (^[X1 : mu] : (mbox @ a3 @ (mimplies @ (mand @ (likes @ X0 @ X1) @ (mand @ (mbox @ a1 @ (likes @ X0 @ X1)) @ (mbox @ a2 @ (likes @ X0 @ X1)))) @ (very_much_likes @ X0 @ X1))))))))),
% 0.22/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a3_4)).
% 0.22/0.54 thf(f707,plain,(
% 0.22/0.54 ( ! [X2 : $i,X1 : $i] : (($true = (likes @ jan @ cola @ X2)) | ($false = (a1 @ X1 @ X2))) )),
% 0.22/0.54 inference(not_proxy_clausification,[],[f706])).
% 0.22/0.54 thf(f706,plain,(
% 0.22/0.54 ( ! [X2 : $i,X1 : $i] : (($true = (~ (a1 @ X1 @ X2))) | ($true = (likes @ jan @ cola @ X2))) )),
% 0.22/0.54 inference(binary_proxy_clausification,[],[f705])).
% 0.22/0.54 thf(f705,plain,(
% 0.22/0.54 ( ! [X2 : $i,X1 : $i] : ((((likes @ jan @ cola @ X2) | (~ (a1 @ X1 @ X2))) = $true)) )),
% 0.22/0.54 inference(beta_eta_normalization,[],[f704])).
% 0.22/0.54 thf(f704,plain,(
% 0.22/0.54 ( ! [X2 : $i,X1 : $i] : ((((^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a1 @ X1 @ Y0)))) @ X2) = $true)) )),
% 0.22/0.54 inference(pi_clausification,[],[f703])).
% 0.22/0.54 thf(f703,plain,(
% 0.22/0.54 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((likes @ jan @ cola @ Y0) | (~ (a1 @ X1 @ Y0))))))) )),
% 0.22/0.54 inference(beta_eta_normalization,[],[f702])).
% 0.22/0.54 thf(f702,plain,(
% 0.22/0.54 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ cola @ Y1) | (~ (a1 @ Y0 @ Y1)))))) @ X1))) )),
% 0.22/0.54 inference(pi_clausification,[],[f701])).
% 0.22/0.54 thf(f701,plain,(
% 0.22/0.54 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ $i @ (^[Y1 : $i]: ((likes @ jan @ cola @ Y1) | (~ (a1 @ Y0 @ Y1))))))))),
% 0.22/0.54 inference(beta_eta_normalization,[],[f313])).
% 0.22/0.54 thf(f313,plain,(
% 0.22/0.54 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((Y1 @ Y3) | (~ (Y0 @ Y2 @ Y3)))))))))) @ a1 @ (likes @ jan @ cola))))),
% 0.22/0.54 inference(definition_unfolding,[],[f243,f221,f268])).
% 0.22/0.54 thf(f243,plain,(
% 0.22/0.54 ((mvalid @ (mbox @ a1 @ (likes @ jan @ cola))) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f122])).
% 0.22/0.54 thf(f122,plain,(
% 0.22/0.54 ((mvalid @ (mbox @ a1 @ (likes @ jan @ cola))) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f121])).
% 0.22/0.54 thf(f121,plain,(
% 0.22/0.54 (mvalid @ (mbox @ a1 @ (likes @ jan @ cola)))),
% 0.22/0.54 inference(rectify,[],[f32])).
% 0.22/0.54 thf(f32,axiom,(
% 0.22/0.54 (mvalid @ (mbox @ a1 @ (likes @ jan @ cola)))),
% 0.22/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a1_1)).
% 0.22/0.54 thf(f368,plain,(
% 0.22/0.54 ( ! [X1 : $i] : (((a1 @ X1 @ (sK2 @ X1)) = $true)) )),
% 0.22/0.54 inference(sigma_clausification,[],[f367])).
% 0.22/0.54 thf(f367,plain,(
% 0.22/0.54 ( ! [X1 : $i] : (($true = (?? @ $i @ (a1 @ X1)))) )),
% 0.22/0.54 inference(beta_eta_normalization,[],[f366])).
% 0.22/0.54 thf(f366,plain,(
% 0.22/0.54 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (?? @ $i @ (a1 @ Y0))) @ X1))) )),
% 0.22/0.54 inference(pi_clausification,[],[f365])).
% 0.22/0.54 thf(f365,plain,(
% 0.22/0.54 ($true = (!! @ $i @ (^[Y0 : $i]: (?? @ $i @ (a1 @ Y0)))))),
% 0.22/0.54 inference(beta_eta_normalization,[],[f323])).
% 0.22/0.54 thf(f323,plain,(
% 0.22/0.54 ($true = ((^[Y0 : $i > $i > $o]: (!! @ $i @ (^[Y1 : $i]: (?? @ $i @ (^[Y2 : $i]: (Y0 @ Y1 @ Y2)))))) @ a1))),
% 0.22/0.54 inference(definition_unfolding,[],[f258,f277])).
% 0.22/0.54 thf(f258,plain,(
% 0.22/0.54 ((mserial @ a1) = $true)),
% 0.22/0.54 inference(cnf_transformation,[],[f162])).
% 0.22/0.54 thf(f162,plain,(
% 0.22/0.54 ((mserial @ a1) = $true)),
% 0.22/0.54 inference(fool_elimination,[],[f161])).
% 0.22/0.54 thf(f161,plain,(
% 0.22/0.54 (mserial @ a1)),
% 0.22/0.54 inference(rectify,[],[f53])).
% 0.22/0.54 thf(f53,axiom,(
% 0.22/0.54 (mserial @ a1)),
% 0.22/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_D_a1)).
% 0.22/0.54 % SZS output end Proof for theBenchmark
% 0.22/0.54 % (3596)------------------------------
% 0.22/0.54 % (3596)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.22/0.54 % (3596)Termination reason: Refutation
% 0.22/0.54
% 0.22/0.54 % (3596)Memory used [KB]: 6652
% 0.22/0.54 % (3596)Time elapsed: 0.083 s
% 0.22/0.54 % (3596)Instructions burned: 204 (million)
% 0.22/0.54 % (3596)------------------------------
% 0.22/0.54 % (3596)------------------------------
% 0.22/0.54 % (3569)Success in time 0.169 s
% 0.22/0.54 % Vampire---4.8 exiting
%------------------------------------------------------------------------------