TSTP Solution File: AGT029^1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : AGT029^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n004.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 Jun 24 03:40:14 EDT 2024
% Result : Theorem 0.22s 0.49s
% Output : Refutation 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : AGT029^1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 04:14:09 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 This is a TH0_THM_EQU_NAR problem
% 0.12/0.37 Running higher-order theorem proving
% 0.12/0.37 Running /export/starexec/sandbox/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox/benchmark/theBenchmark.p -m 16384 -t 300
% 0.12/0.40 % (26917)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.12/0.40 % (26915)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)
% 0.12/0.40 % (26917)Instruction limit reached!
% 0.12/0.40 % (26917)------------------------------
% 0.12/0.40 % (26917)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (26917)Termination reason: Unknown
% 0.12/0.40 % (26917)Termination phase: shuffling
% 0.12/0.40
% 0.12/0.40 % (26916)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)
% 0.12/0.40 % (26917)Memory used [KB]: 1151
% 0.12/0.40 % (26917)Time elapsed: 0.003 s
% 0.12/0.40 % (26917)Instructions burned: 2 (million)
% 0.12/0.40 % (26917)------------------------------
% 0.12/0.40 % (26917)------------------------------
% 0.12/0.40 % (26920)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.12/0.40 % (26915)Instruction limit reached!
% 0.12/0.40 % (26915)------------------------------
% 0.12/0.40 % (26915)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.12/0.40 % (26915)Termination reason: Unknown
% 0.12/0.40 % (26915)Termination phase: shuffling
% 0.12/0.40
% 0.12/0.40 % (26915)Memory used [KB]: 1151
% 0.12/0.40 % (26915)Time elapsed: 0.004 s
% 0.12/0.40 % (26915)Instructions burned: 5 (million)
% 0.12/0.40 % (26915)------------------------------
% 0.12/0.40 % (26915)------------------------------
% 0.12/0.40 % (26919)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.22/0.41 % (26918)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.22/0.41 % (26918)Instruction limit reached!
% 0.22/0.41 % (26918)------------------------------
% 0.22/0.41 % (26918)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (26918)Termination reason: Unknown
% 0.22/0.41 % (26918)Termination phase: shuffling
% 0.22/0.41
% 0.22/0.41 % (26918)Memory used [KB]: 1151
% 0.22/0.41 % (26918)Time elapsed: 0.003 s
% 0.22/0.41 % (26918)Instructions burned: 3 (million)
% 0.22/0.41 % (26918)------------------------------
% 0.22/0.41 % (26918)------------------------------
% 0.22/0.41 % (26914)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.22/0.41 % (26920)Instruction limit reached!
% 0.22/0.41 % (26920)------------------------------
% 0.22/0.41 % (26920)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (26920)Termination reason: Unknown
% 0.22/0.41 % (26920)Termination phase: Property scanning
% 0.22/0.41
% 0.22/0.41 % (26920)Memory used [KB]: 1279
% 0.22/0.41 % (26920)Time elapsed: 0.011 s
% 0.22/0.41 % (26920)Instructions burned: 20 (million)
% 0.22/0.41 % (26920)------------------------------
% 0.22/0.41 % (26920)------------------------------
% 0.22/0.41 % (26916)Instruction limit reached!
% 0.22/0.41 % (26916)------------------------------
% 0.22/0.41 % (26916)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (26916)Termination reason: Unknown
% 0.22/0.41 % (26916)Termination phase: Property scanning
% 0.22/0.41
% 0.22/0.41 % (26916)Memory used [KB]: 1279
% 0.22/0.41 % (26916)Time elapsed: 0.015 s
% 0.22/0.41 % (26916)Instructions burned: 28 (million)
% 0.22/0.41 % (26916)------------------------------
% 0.22/0.41 % (26916)------------------------------
% 0.22/0.41 % (26919)Refutation not found, incomplete strategy
% 0.22/0.41 % (26919)------------------------------
% 0.22/0.41 % (26919)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.41 % (26919)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.41
% 0.22/0.41
% 0.22/0.41 % (26919)Memory used [KB]: 5756
% 0.22/0.41 % (26919)Time elapsed: 0.013 s
% 0.22/0.41 % (26919)Instructions burned: 22 (million)
% 0.22/0.41 % (26919)------------------------------
% 0.22/0.41 % (26919)------------------------------
% 0.22/0.42 % (26922)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.22/0.42 % (26921)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.42 % (26923)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.22/0.42 % (26921)Instruction limit reached!
% 0.22/0.42 % (26921)------------------------------
% 0.22/0.42 % (26921)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.42 % (26921)Termination reason: Unknown
% 0.22/0.42 % (26921)Termination phase: shuffling
% 0.22/0.42
% 0.22/0.42 % (26921)Memory used [KB]: 1151
% 0.22/0.42 % (26921)Time elapsed: 0.004 s
% 0.22/0.42 % (26921)Instructions burned: 4 (million)
% 0.22/0.42 % (26921)------------------------------
% 0.22/0.42 % (26921)------------------------------
% 0.22/0.43 % (26924)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.43 % (26924)Instruction limit reached!
% 0.22/0.43 % (26924)------------------------------
% 0.22/0.43 % (26924)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (26924)Termination reason: Unknown
% 0.22/0.43 % (26924)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (26924)Memory used [KB]: 1151
% 0.22/0.43 % (26924)Time elapsed: 0.003 s
% 0.22/0.43 % (26924)Instructions burned: 3 (million)
% 0.22/0.43 % (26924)------------------------------
% 0.22/0.43 % (26924)------------------------------
% 0.22/0.43 % (26925)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.22/0.43 % (26923)Instruction limit reached!
% 0.22/0.43 % (26923)------------------------------
% 0.22/0.43 % (26923)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (26923)Termination reason: Unknown
% 0.22/0.43 % (26923)Termination phase: Property scanning
% 0.22/0.43
% 0.22/0.43 % (26923)Memory used [KB]: 1279
% 0.22/0.43 % (26923)Time elapsed: 0.009 s
% 0.22/0.43 % (26923)Instructions burned: 16 (million)
% 0.22/0.43 % (26923)------------------------------
% 0.22/0.43 % (26923)------------------------------
% 0.22/0.43 % (26926)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.43 % (26926)Instruction limit reached!
% 0.22/0.43 % (26926)------------------------------
% 0.22/0.43 % (26926)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (26926)Termination reason: Unknown
% 0.22/0.43 % (26926)Termination phase: shuffling
% 0.22/0.43
% 0.22/0.43 % (26926)Memory used [KB]: 1151
% 0.22/0.43 % (26926)Time elapsed: 0.005 s
% 0.22/0.43 % (26926)Instructions burned: 7 (million)
% 0.22/0.43 % (26926)------------------------------
% 0.22/0.43 % (26926)------------------------------
% 0.22/0.43 % (26922)Instruction limit reached!
% 0.22/0.43 % (26922)------------------------------
% 0.22/0.43 % (26922)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.43 % (26922)Termination reason: Unknown
% 0.22/0.43 % (26922)Termination phase: Property scanning
% 0.22/0.43
% 0.22/0.43 % (26922)Memory used [KB]: 1279
% 0.22/0.43 % (26922)Time elapsed: 0.019 s
% 0.22/0.43 % (26922)Instructions burned: 38 (million)
% 0.22/0.43 % (26922)------------------------------
% 0.22/0.43 % (26922)------------------------------
% 0.22/0.44 % (26927)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.22/0.44 % (26928)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)
% 0.22/0.44 % (26928)Instruction limit reached!
% 0.22/0.44 % (26928)------------------------------
% 0.22/0.44 % (26928)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.44 % (26928)Termination reason: Unknown
% 0.22/0.44 % (26928)Termination phase: shuffling
% 0.22/0.44
% 0.22/0.44 % (26928)Memory used [KB]: 1151
% 0.22/0.44 % (26928)Time elapsed: 0.003 s
% 0.22/0.44 % (26928)Instructions burned: 3 (million)
% 0.22/0.44 % (26928)------------------------------
% 0.22/0.44 % (26928)------------------------------
% 0.22/0.44 % (26929)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)
% 0.22/0.45 % (26929)Instruction limit reached!
% 0.22/0.45 % (26929)------------------------------
% 0.22/0.45 % (26929)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45 % (26929)Termination reason: Unknown
% 0.22/0.45 % (26929)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (26929)Memory used [KB]: 1151
% 0.22/0.45 % (26929)Time elapsed: 0.003 s
% 0.22/0.45 % (26929)Instructions burned: 3 (million)
% 0.22/0.45 % (26929)------------------------------
% 0.22/0.45 % (26929)------------------------------
% 0.22/0.45 % (26927)Instruction limit reached!
% 0.22/0.45 % (26927)------------------------------
% 0.22/0.45 % (26927)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45 % (26927)Termination reason: Unknown
% 0.22/0.45 % (26927)Termination phase: Property scanning
% 0.22/0.45
% 0.22/0.45 % (26927)Memory used [KB]: 1279
% 0.22/0.45 % (26927)Time elapsed: 0.009 s
% 0.22/0.45 % (26927)Instructions burned: 16 (million)
% 0.22/0.45 % (26927)------------------------------
% 0.22/0.45 % (26927)------------------------------
% 0.22/0.45 % (26930)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)
% 0.22/0.45 % (26931)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)
% 0.22/0.45 % (26931)Instruction limit reached!
% 0.22/0.45 % (26931)------------------------------
% 0.22/0.45 % (26931)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45 % (26931)Termination reason: Unknown
% 0.22/0.45 % (26931)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (26931)Memory used [KB]: 1151
% 0.22/0.45 % (26931)Time elapsed: 0.003 s
% 0.22/0.45 % (26931)Instructions burned: 3 (million)
% 0.22/0.45 % (26931)------------------------------
% 0.22/0.45 % (26931)------------------------------
% 0.22/0.45 % (26930)Instruction limit reached!
% 0.22/0.45 % (26930)------------------------------
% 0.22/0.45 % (26930)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.45 % (26930)Termination reason: Unknown
% 0.22/0.45 % (26930)Termination phase: shuffling
% 0.22/0.45
% 0.22/0.45 % (26930)Memory used [KB]: 1151
% 0.22/0.45 % (26930)Time elapsed: 0.005 s
% 0.22/0.45 % (26930)Instructions burned: 7 (million)
% 0.22/0.45 % (26930)------------------------------
% 0.22/0.45 % (26930)------------------------------
% 0.22/0.46 % (26932)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.22/0.46 % (26932)Instruction limit reached!
% 0.22/0.46 % (26932)------------------------------
% 0.22/0.46 % (26932)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.46 % (26932)Termination reason: Unknown
% 0.22/0.46 % (26932)Termination phase: shuffling
% 0.22/0.46
% 0.22/0.46 % (26932)Memory used [KB]: 1151
% 0.22/0.46 % (26932)Time elapsed: 0.004 s
% 0.22/0.46 % (26933)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)
% 0.22/0.46 % (26932)Instructions burned: 5 (million)
% 0.22/0.46 % (26932)------------------------------
% 0.22/0.46 % (26932)------------------------------
% 0.22/0.46 % (26934)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.22/0.47 % (26935)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.47 % (26936)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)
% 0.22/0.47 % (26935)Instruction limit reached!
% 0.22/0.47 % (26935)------------------------------
% 0.22/0.47 % (26935)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.47 % (26935)Termination reason: Unknown
% 0.22/0.47 % (26935)Termination phase: shuffling
% 0.22/0.47
% 0.22/0.47 % (26935)Memory used [KB]: 1151
% 0.22/0.47 % (26935)Time elapsed: 0.005 s
% 0.22/0.47 % (26935)Instructions burned: 6 (million)
% 0.22/0.47 % (26935)------------------------------
% 0.22/0.47 % (26935)------------------------------
% 0.22/0.47 % (26933)Instruction limit reached!
% 0.22/0.47 % (26933)------------------------------
% 0.22/0.47 % (26933)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.47 % (26933)Termination reason: Unknown
% 0.22/0.47 % (26933)Termination phase: Property scanning
% 0.22/0.47
% 0.22/0.47 % (26933)Memory used [KB]: 1279
% 0.22/0.47 % (26933)Time elapsed: 0.011 s
% 0.22/0.47 % (26933)Instructions burned: 19 (million)
% 0.22/0.47 % (26933)------------------------------
% 0.22/0.47 % (26933)------------------------------
% 0.22/0.48 % (26937)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)
% 0.22/0.48 % (26936)Refutation not found, incomplete strategy
% 0.22/0.48 % (26936)------------------------------
% 0.22/0.48 % (26936)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.48 % (26936)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.48
% 0.22/0.48
% 0.22/0.48 % (26936)Memory used [KB]: 5756
% 0.22/0.48 % (26936)Time elapsed: 0.014 s
% 0.22/0.48 % (26936)Instructions burned: 26 (million)
% 0.22/0.48 % (26936)------------------------------
% 0.22/0.48 % (26936)------------------------------
% 0.22/0.48 % (26934)Refutation not found, incomplete strategy
% 0.22/0.48 % (26934)------------------------------
% 0.22/0.48 % (26934)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.48 % (26934)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.48
% 0.22/0.48
% 0.22/0.48 % (26934)Memory used [KB]: 5884
% 0.22/0.48 % (26934)Time elapsed: 0.022 s
% 0.22/0.48 % (26934)Instructions burned: 38 (million)
% 0.22/0.48 % (26934)------------------------------
% 0.22/0.48 % (26934)------------------------------
% 0.22/0.48 % (26938)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.22/0.48 % (26939)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)
% 0.22/0.49 % (26937)Instruction limit reached!
% 0.22/0.49 % (26937)------------------------------
% 0.22/0.49 % (26937)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.49 % (26937)Termination reason: Unknown
% 0.22/0.49 % (26937)Termination phase: Preprocessing 1
% 0.22/0.49
% 0.22/0.49 % (26937)Memory used [KB]: 1279
% 0.22/0.49 % (26937)Time elapsed: 0.011 s
% 0.22/0.49 % (26937)Instructions burned: 21 (million)
% 0.22/0.49 % (26937)------------------------------
% 0.22/0.49 % (26937)------------------------------
% 0.22/0.49 % (26938)Instruction limit reached!
% 0.22/0.49 % (26938)------------------------------
% 0.22/0.49 % (26938)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.49 % (26938)Termination reason: Unknown
% 0.22/0.49 % (26938)Termination phase: shuffling
% 0.22/0.49
% 0.22/0.49 % (26938)Memory used [KB]: 1151
% 0.22/0.49 % (26938)Time elapsed: 0.004 s
% 0.22/0.49 % (26938)Instructions burned: 5 (million)
% 0.22/0.49 % (26938)------------------------------
% 0.22/0.49 % (26938)------------------------------
% 0.22/0.49 % (26939)Instruction limit reached!
% 0.22/0.49 % (26939)------------------------------
% 0.22/0.49 % (26939)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.49 % (26939)Termination reason: Unknown
% 0.22/0.49 % (26939)Termination phase: shuffling
% 0.22/0.49
% 0.22/0.49 % (26939)Memory used [KB]: 1151
% 0.22/0.49 % (26939)Time elapsed: 0.005 s
% 0.22/0.49 % (26939)Instructions burned: 6 (million)
% 0.22/0.49 % (26939)------------------------------
% 0.22/0.49 % (26939)------------------------------
% 0.22/0.49 % (26925)First to succeed.
% 0.22/0.49 % (26925)Refutation found. Thanks to Tanya!
% 0.22/0.49 % SZS status Theorem for theBenchmark
% 0.22/0.49 % SZS output start Proof for theBenchmark
% 0.22/0.49 thf(type_def_5, type, mu: $tType).
% 0.22/0.49 thf(func_def_0, type, mu: $tType).
% 0.22/0.49 thf(func_def_1, type, meq_ind: mu > mu > $i > $o).
% 0.22/0.49 thf(func_def_2, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.49 thf(func_def_4, type, mnot: ($i > $o) > $i > $o).
% 0.22/0.49 thf(func_def_5, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.49 thf(func_def_6, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.49 thf(func_def_7, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.49 thf(func_def_8, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.49 thf(func_def_9, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.49 thf(func_def_10, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
% 0.22/0.49 thf(func_def_11, type, mforall_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.49 thf(func_def_12, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.49 thf(func_def_13, type, mexists_ind: (mu > $i > $o) > $i > $o).
% 0.22/0.49 thf(func_def_14, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
% 0.22/0.49 thf(func_def_15, type, mtrue: $i > $o).
% 0.22/0.49 thf(func_def_16, type, mfalse: $i > $o).
% 0.22/0.49 thf(func_def_17, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.49 thf(func_def_18, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
% 0.22/0.49 thf(func_def_19, type, mreflexive: ($i > $i > $o) > $o).
% 0.22/0.49 thf(func_def_20, type, msymmetric: ($i > $i > $o) > $o).
% 0.22/0.49 thf(func_def_21, type, mserial: ($i > $i > $o) > $o).
% 0.22/0.49 thf(func_def_22, type, mtransitive: ($i > $i > $o) > $o).
% 0.22/0.49 thf(func_def_23, type, meuclidean: ($i > $i > $o) > $o).
% 0.22/0.49 thf(func_def_24, type, mpartially_functional: ($i > $i > $o) > $o).
% 0.22/0.49 thf(func_def_25, type, mfunctional: ($i > $i > $o) > $o).
% 0.22/0.49 thf(func_def_26, type, mweakly_dense: ($i > $i > $o) > $o).
% 0.22/0.49 thf(func_def_27, type, mweakly_connected: ($i > $i > $o) > $o).
% 0.22/0.49 thf(func_def_28, type, mweakly_directed: ($i > $i > $o) > $o).
% 0.22/0.49 thf(func_def_29, type, mvalid: ($i > $o) > $o).
% 0.22/0.49 thf(func_def_30, type, minvalid: ($i > $o) > $o).
% 0.22/0.49 thf(func_def_31, type, msatisfiable: ($i > $o) > $o).
% 0.22/0.49 thf(func_def_32, type, mcountersatisfiable: ($i > $o) > $o).
% 0.22/0.49 thf(func_def_33, type, r1: $i > $i > $o).
% 0.22/0.49 thf(func_def_34, type, r2: $i > $i > $o).
% 0.22/0.49 thf(func_def_35, type, r3: $i > $i > $o).
% 0.22/0.49 thf(func_def_36, type, r4: $i > $i > $o).
% 0.22/0.49 thf(func_def_37, type, r5: $i > $i > $o).
% 0.22/0.49 thf(func_def_38, type, john: mu).
% 0.22/0.49 thf(func_def_39, type, tom: mu).
% 0.22/0.49 thf(func_def_40, type, peter: mu).
% 0.22/0.49 thf(func_def_41, type, mike: mu).
% 0.22/0.49 thf(func_def_42, type, good_in_maths: mu > $i > $o).
% 0.22/0.49 thf(func_def_43, type, maths_teacher: mu > $i > $o).
% 0.22/0.49 thf(func_def_44, type, mathematician: mu > $i > $o).
% 0.22/0.49 thf(func_def_45, type, maths_student: mu > $i > $o).
% 0.22/0.49 thf(func_def_46, type, good_in_physics: mu > $i > $o).
% 0.22/0.49 thf(func_def_47, type, physics_student: mu > $i > $o).
% 0.22/0.49 thf(func_def_64, type, ph1: !>[X0: $tType]:(X0)).
% 0.22/0.49 thf(func_def_66, type, sK3: mu > $i).
% 0.22/0.49 thf(f663,plain,(
% 0.22/0.49 $false),
% 0.22/0.49 inference(trivial_inequality_removal,[],[f661])).
% 0.22/0.49 thf(f661,plain,(
% 0.22/0.49 ($true = $false)),
% 0.22/0.49 inference(superposition,[],[f566,f639])).
% 0.22/0.49 thf(f639,plain,(
% 0.22/0.49 ( ! [X0 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ X0 @ Y0)) | (good_in_maths @ john @ Y0)))))) )),
% 0.22/0.49 inference(boolean_simplification,[],[f638])).
% 0.22/0.49 thf(f638,plain,(
% 0.22/0.49 ( ! [X0 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ X0 @ Y0)) | (good_in_maths @ john @ Y0)))) | $false))) )),
% 0.22/0.49 inference(boolean_simplification,[],[f634])).
% 0.22/0.49 thf(f634,plain,(
% 0.22/0.49 ( ! [X0 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ X0 @ Y0)) | (good_in_maths @ john @ Y0)))) | (~ $true)))) )),
% 0.22/0.49 inference(superposition,[],[f628,f592])).
% 0.22/0.49 thf(f592,plain,(
% 0.22/0.49 ( ! [X0 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((~ (r4 @ X0 @ Y0)) | (good_in_maths @ john @ Y0)))))) )),
% 0.22/0.49 inference(boolean_simplification,[],[f591])).
% 0.22/0.49 thf(f591,plain,(
% 0.22/0.49 ( ! [X0 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (r4 @ X0 @ Y0)) | (good_in_maths @ john @ Y0)))) | $false))) )),
% 0.22/0.49 inference(boolean_simplification,[],[f590])).
% 0.22/0.49 thf(f590,plain,(
% 0.22/0.49 ( ! [X0 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (r4 @ X0 @ Y0)) | (good_in_maths @ john @ Y0)))) | (~ $true)))) )),
% 0.22/0.49 inference(superposition,[],[f586,f540])).
% 0.22/0.49 thf(f540,plain,(
% 0.22/0.49 ( ! [X1 : $i] : (($true = (maths_teacher @ john @ X1))) )),
% 0.22/0.49 inference(pi_clausification,[],[f519])).
% 0.22/0.49 thf(f519,plain,(
% 0.22/0.49 ($true = (!! @ $i @ (maths_teacher @ john)))),
% 0.22/0.49 inference(beta_eta_normalization,[],[f436])).
% 0.22/0.49 thf(f436,plain,(
% 0.22/0.49 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ (maths_teacher @ john)))),
% 0.22/0.49 inference(definition_unfolding,[],[f342,f385])).
% 0.22/0.49 thf(f385,plain,(
% 0.22/0.49 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.49 inference(cnf_transformation,[],[f222])).
% 0.22/0.49 thf(f222,plain,(
% 0.22/0.49 (mvalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.22/0.49 inference(fool_elimination,[],[f221])).
% 0.22/0.49 thf(f221,plain,(
% 0.22/0.49 ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = mvalid)),
% 0.22/0.49 inference(rectify,[],[f28])).
% 0.22/0.49 thf(f28,axiom,(
% 0.22/0.49 ((^[X3 : $i > $o] : (! [X2] : (X3 @ X2))) = mvalid)),
% 0.22/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mvalid)).
% 0.22/0.49 thf(f342,plain,(
% 0.22/0.49 ((mvalid @ (maths_teacher @ john)) = $true)),
% 0.22/0.49 inference(cnf_transformation,[],[f140])).
% 0.22/0.49 thf(f140,plain,(
% 0.22/0.49 ((mvalid @ (maths_teacher @ john)) = $true)),
% 0.22/0.50 inference(fool_elimination,[],[f139])).
% 0.22/0.50 thf(f139,plain,(
% 0.22/0.50 (mvalid @ (maths_teacher @ john))),
% 0.22/0.50 inference(rectify,[],[f49])).
% 0.22/0.50 thf(f49,axiom,(
% 0.22/0.50 (mvalid @ (maths_teacher @ john))),
% 0.22/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a6)).
% 0.22/0.50 thf(f586,plain,(
% 0.22/0.50 ( ! [X2 : mu,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (r4 @ X1 @ Y0)) | (good_in_maths @ X2 @ Y0)))) | (~ (maths_teacher @ X2 @ X1))))) )),
% 0.22/0.50 inference(beta_eta_normalization,[],[f585])).
% 0.22/0.50 thf(f585,plain,(
% 0.22/0.50 ( ! [X2 : mu,X1 : $i] : (($true = ((^[Y0 : mu]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r4 @ X1 @ Y1)) | (good_in_maths @ Y0 @ Y1)))) | (~ (maths_teacher @ Y0 @ X1)))) @ X2))) )),
% 0.22/0.50 inference(pi_clausification,[],[f581])).
% 0.22/0.50 thf(f581,plain,(
% 0.22/0.50 ( ! [X1 : $i] : (($true = (!! @ mu @ (^[Y0 : mu]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r4 @ X1 @ Y1)) | (good_in_maths @ Y0 @ Y1)))) | (~ (maths_teacher @ Y0 @ X1))))))) )),
% 0.22/0.50 inference(beta_eta_normalization,[],[f580])).
% 0.22/0.50 thf(f580,plain,(
% 0.22/0.50 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r4 @ Y0 @ Y2)) | (good_in_maths @ Y1 @ Y2)))) | (~ (maths_teacher @ Y1 @ Y0)))))) @ X1))) )),
% 0.22/0.50 inference(pi_clausification,[],[f522])).
% 0.22/0.50 thf(f522,plain,(
% 0.22/0.50 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ mu @ (^[Y1 : mu]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r4 @ Y0 @ Y2)) | (good_in_maths @ Y1 @ Y2)))) | (~ (maths_teacher @ Y1 @ Y0))))))))),
% 0.22/0.50 inference(beta_eta_normalization,[],[f412])).
% 0.22/0.50 thf(f412,plain,(
% 0.22/0.50 (((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : mu]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y4 @ Y5) | (Y3 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ (maths_teacher @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r4 @ (good_in_maths @ Y0)))))) = $true)),
% 0.22/0.50 inference(definition_unfolding,[],[f309,f385,f362,f393,f338])).
% 0.22/0.50 thf(f338,plain,(
% 0.22/0.50 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 0.22/0.50 inference(cnf_transformation,[],[f214])).
% 0.22/0.50 thf(f214,plain,(
% 0.22/0.50 (mbox = (^[Y0 : $i > $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: (!! @ $i @ (^[Y3 : $i]: ((~ (Y0 @ Y2 @ Y3)) | (Y1 @ Y3))))))))))),
% 0.22/0.50 inference(fool_elimination,[],[f213])).
% 0.22/0.50 thf(f213,plain,(
% 0.22/0.50 (mbox = (^[X0 : $i > $i > $o, X1 : $i > $o, X2 : $i] : (! [X3] : ((X1 @ X3) | ~(X0 @ X2 @ X3)))))),
% 0.22/0.50 inference(rectify,[],[f16])).
% 0.22/0.50 thf(f16,axiom,(
% 0.22/0.50 (mbox = (^[X6 : $i > $i > $o, X3 : $i > $o, X2 : $i] : (! [X7] : ((X3 @ X7) | ~(X6 @ X2 @ X7)))))),
% 0.22/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mbox)).
% 0.22/0.50 thf(f393,plain,(
% 0.22/0.50 (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)))))),
% 0.22/0.50 inference(definition_unfolding,[],[f380,f321,f368])).
% 0.22/0.50 thf(f368,plain,(
% 0.22/0.50 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.22/0.50 inference(cnf_transformation,[],[f144])).
% 0.22/0.50 thf(f144,plain,(
% 0.22/0.50 (mnot = (^[Y0 : $i > $o]: ((^[Y1 : $i]: (~ (Y0 @ Y1))))))),
% 0.22/0.50 inference(fool_elimination,[],[f143])).
% 0.22/0.50 thf(f143,plain,(
% 0.22/0.50 ((^[X0 : $i > $o, X1 : $i] : (~(X0 @ X1))) = mnot)),
% 0.22/0.50 inference(rectify,[],[f3])).
% 0.22/0.50 thf(f3,axiom,(
% 0.22/0.50 ((^[X3 : $i > $o, X2 : $i] : (~(X3 @ X2))) = mnot)),
% 0.22/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mnot)).
% 0.22/0.50 thf(f321,plain,(
% 0.22/0.50 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.22/0.50 inference(cnf_transformation,[],[f160])).
% 0.22/0.50 thf(f160,plain,(
% 0.22/0.50 (mor = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i]: ((Y1 @ Y2) | (Y0 @ Y2))))))))),
% 0.22/0.50 inference(fool_elimination,[],[f159])).
% 0.22/0.50 thf(f159,plain,(
% 0.22/0.50 (mor = (^[X0 : $i > $o, X1 : $i > $o, X2 : $i] : ((X0 @ X2) | (X1 @ X2))))),
% 0.22/0.50 inference(rectify,[],[f4])).
% 0.22/0.50 thf(f4,axiom,(
% 0.22/0.50 (mor = (^[X3 : $i > $o, X4 : $i > $o, X2 : $i] : ((X3 @ X2) | (X4 @ X2))))),
% 0.22/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mor)).
% 0.22/0.50 thf(f380,plain,(
% 0.22/0.50 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.22/0.50 inference(cnf_transformation,[],[f224])).
% 0.22/0.50 thf(f224,plain,(
% 0.22/0.50 (mimplies = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (mor @ (mnot @ Y0) @ Y1)))))),
% 0.22/0.50 inference(fool_elimination,[],[f223])).
% 0.22/0.50 thf(f223,plain,(
% 0.22/0.50 (mimplies = (^[X0 : $i > $o, X1 : $i > $o] : (mor @ (mnot @ X0) @ X1)))),
% 0.22/0.50 inference(rectify,[],[f6])).
% 0.22/0.50 thf(f6,axiom,(
% 0.22/0.50 (mimplies = (^[X3 : $i > $o, X4 : $i > $o] : (mor @ (mnot @ X3) @ X4)))),
% 0.22/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mimplies)).
% 0.22/0.50 thf(f362,plain,(
% 0.22/0.50 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 0.22/0.50 inference(cnf_transformation,[],[f291])).
% 0.22/0.50 thf(f291,plain,(
% 0.22/0.50 (mforall_ind = (^[Y0 : mu > $i > $o]: ((^[Y1 : $i]: (!! @ mu @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1)))))))),
% 0.22/0.50 inference(fool_elimination,[],[f290])).
% 0.22/0.50 thf(f290,plain,(
% 0.22/0.50 ((^[X0 : mu > $i > $o, X1 : $i] : (! [X2 : mu] : (X0 @ X2 @ X1))) = mforall_ind)),
% 0.22/0.50 inference(rectify,[],[f10])).
% 0.22/0.50 thf(f10,axiom,(
% 0.22/0.50 ((^[X3 : mu > $i > $o, X2 : $i] : (! [X0 : mu] : (X3 @ X0 @ X2))) = mforall_ind)),
% 0.22/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_ind)).
% 0.22/0.50 thf(f309,plain,(
% 0.22/0.50 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mimplies @ (maths_teacher @ Y0) @ (mbox @ r4 @ (good_in_maths @ Y0)))))))),
% 0.22/0.50 inference(cnf_transformation,[],[f132])).
% 0.22/0.50 thf(f132,plain,(
% 0.22/0.50 ($true = (mvalid @ (mforall_ind @ (^[Y0 : mu]: (mimplies @ (maths_teacher @ Y0) @ (mbox @ r4 @ (good_in_maths @ Y0)))))))),
% 0.22/0.50 inference(fool_elimination,[],[f131])).
% 0.22/0.50 thf(f131,plain,(
% 0.22/0.50 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mimplies @ (maths_teacher @ X0) @ (mbox @ r4 @ (good_in_maths @ X0))))))),
% 0.22/0.50 inference(rectify,[],[f32])).
% 0.22/0.50 thf(f32,axiom,(
% 0.22/0.50 (mvalid @ (mforall_ind @ (^[X0 : mu] : (mimplies @ (maths_teacher @ X0) @ (mbox @ r4 @ (good_in_maths @ X0))))))),
% 0.22/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_r1)).
% 0.22/0.50 thf(f628,plain,(
% 0.22/0.50 ( ! [X2 : $i > $o,X1 : $i] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ X1 @ Y0)) | (X2 @ Y0)))) | (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r4 @ X1 @ Y0)) | (X2 @ Y0)))))))) )),
% 0.22/0.50 inference(beta_eta_normalization,[],[f627])).
% 0.22/0.50 thf(f627,plain,(
% 0.22/0.50 ( ! [X2 : $i > $o,X1 : $i] : (($true = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ X1 @ Y1)) | (Y0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r4 @ X1 @ Y1)) | (Y0 @ Y1))))))) @ X2))) )),
% 0.22/0.50 inference(pi_clausification,[],[f622])).
% 0.22/0.50 thf(f622,plain,(
% 0.22/0.50 ( ! [X1 : $i] : (($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ X1 @ Y1)) | (Y0 @ Y1)))) | (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r4 @ X1 @ Y1)) | (Y0 @ Y1)))))))))) )),
% 0.22/0.50 inference(beta_eta_normalization,[],[f621])).
% 0.22/0.50 thf(f621,plain,(
% 0.22/0.50 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r4 @ Y0 @ Y2)) | (Y1 @ Y2))))))))) @ X1))) )),
% 0.22/0.50 inference(pi_clausification,[],[f471])).
% 0.22/0.50 thf(f471,plain,(
% 0.22/0.50 ($true = (!! @ $i @ (^[Y0 : $i]: (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (Y1 @ Y2)))) | (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r4 @ Y0 @ Y2)) | (Y1 @ Y2)))))))))))),
% 0.22/0.50 inference(beta_eta_normalization,[],[f448])).
% 0.22/0.50 thf(f448,plain,(
% 0.22/0.50 ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))) @ (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: ((^[Y5 : $i]: ((Y4 @ Y5) | (Y3 @ Y5))))))) @ ((^[Y3 : $i > $o]: ((^[Y4 : $i]: (~ (Y3 @ Y4))))) @ Y1) @ Y2)))) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r4 @ Y0) @ ((^[Y1 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r2 @ Y0))))))),
% 0.22/0.50 inference(definition_unfolding,[],[f358,f385,f318,f393,f338,f338])).
% 0.22/0.50 thf(f318,plain,(
% 0.22/0.50 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 0.22/0.50 inference(cnf_transformation,[],[f206])).
% 0.22/0.50 thf(f206,plain,(
% 0.22/0.50 (mforall_prop = (^[Y0 : ($i > $o) > $i > $o]: ((^[Y1 : $i]: (!! @ ($i > $o) @ (^[Y2 : $i > $o]: (Y0 @ Y2 @ Y1)))))))),
% 0.22/0.50 inference(fool_elimination,[],[f205])).
% 0.22/0.50 thf(f205,plain,(
% 0.22/0.50 ((^[X0 : ($i > $o) > $i > $o, X1 : $i] : (! [X2 : $i > $o] : (X0 @ X2 @ X1))) = mforall_prop)),
% 0.22/0.50 inference(rectify,[],[f11])).
% 0.22/0.50 thf(f11,axiom,(
% 0.22/0.50 ((^[X3 : ($i > $o) > $i > $o, X2 : $i] : (! [X5 : $i > $o] : (X3 @ X5 @ X2))) = mforall_prop)),
% 0.22/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mforall_prop)).
% 0.22/0.50 thf(f358,plain,(
% 0.22/0.50 ($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ r4 @ Y0) @ (mbox @ r2 @ Y0))))))),
% 0.22/0.50 inference(cnf_transformation,[],[f208])).
% 0.22/0.50 thf(f208,plain,(
% 0.22/0.50 ($true = (mvalid @ (mforall_prop @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ r4 @ Y0) @ (mbox @ r2 @ Y0))))))),
% 0.22/0.50 inference(fool_elimination,[],[f207])).
% 0.22/0.50 thf(f207,plain,(
% 0.22/0.50 (mvalid @ (mforall_prop @ (^[X0 : $i > $o] : (mimplies @ (mbox @ r4 @ X0) @ (mbox @ r2 @ X0)))))),
% 0.22/0.50 inference(rectify,[],[f63])).
% 0.22/0.50 thf(f63,axiom,(
% 0.22/0.50 (mvalid @ (mforall_prop @ (^[X3 : $i > $o] : (mimplies @ (mbox @ r4 @ X3) @ (mbox @ r2 @ X3)))))),
% 0.22/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_I_for_r4_r2)).
% 0.22/0.50 thf(f566,plain,(
% 0.22/0.50 ( ! [X1 : mu] : (((!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ sK2 @ Y0)) | (good_in_maths @ X1 @ Y0)))) = $false)) )),
% 0.22/0.50 inference(not_proxy_clausification,[],[f565])).
% 0.22/0.50 thf(f565,plain,(
% 0.22/0.50 ( ! [X1 : mu] : (($true = (~ (!! @ $i @ (^[Y0 : $i]: ((~ (r2 @ sK2 @ Y0)) | (good_in_maths @ X1 @ Y0))))))) )),
% 0.22/0.50 inference(beta_eta_normalization,[],[f564])).
% 0.22/0.50 thf(f564,plain,(
% 0.22/0.50 ( ! [X1 : mu] : (($true = ((^[Y0 : mu]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ sK2 @ Y1)) | (good_in_maths @ Y0 @ Y1)))))) @ X1))) )),
% 0.22/0.50 inference(pi_clausification,[],[f561])).
% 0.22/0.50 thf(f561,plain,(
% 0.22/0.50 ($true = (!! @ mu @ (^[Y0 : mu]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ sK2 @ Y1)) | (good_in_maths @ Y0 @ Y1))))))))),
% 0.22/0.50 inference(not_proxy_clausification,[],[f560])).
% 0.22/0.50 thf(f560,plain,(
% 0.22/0.50 ((~ (!! @ mu @ (^[Y0 : mu]: (~ (!! @ $i @ (^[Y1 : $i]: ((~ (r2 @ sK2 @ Y1)) | (good_in_maths @ Y0 @ Y1)))))))) = $false)),
% 0.22/0.50 inference(beta_eta_normalization,[],[f559])).
% 0.22/0.50 thf(f559,plain,(
% 0.22/0.50 (((^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (good_in_maths @ Y1 @ Y2))))))))) @ sK2) = $false)),
% 0.22/0.50 inference(sigma_clausification,[],[f556])).
% 0.22/0.50 thf(f556,plain,(
% 0.22/0.50 ((!! @ $i @ (^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (good_in_maths @ Y1 @ Y2)))))))))) = $false)),
% 0.22/0.50 inference(not_proxy_clausification,[],[f493])).
% 0.22/0.50 thf(f493,plain,(
% 0.22/0.50 ($true = (~ (!! @ $i @ (^[Y0 : $i]: (~ (!! @ mu @ (^[Y1 : mu]: (~ (!! @ $i @ (^[Y2 : $i]: ((~ (r2 @ Y0 @ Y2)) | (good_in_maths @ Y1 @ Y2))))))))))))),
% 0.22/0.50 inference(beta_eta_normalization,[],[f414])).
% 0.22/0.50 thf(f414,plain,(
% 0.22/0.50 ($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 : $i > $i > $o]: ((^[Y2 : $i > $o]: ((^[Y3 : $i]: (!! @ $i @ (^[Y4 : $i]: ((~ (Y1 @ Y3 @ Y4)) | (Y2 @ Y4))))))))) @ r2 @ (good_in_maths @ Y0)))))))),
% 0.22/0.50 inference(definition_unfolding,[],[f311,f385,f397,f338])).
% 0.22/0.50 thf(f397,plain,(
% 0.22/0.50 (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)))))))),
% 0.22/0.50 inference(definition_unfolding,[],[f303,f368,f362,f368])).
% 0.22/0.50 thf(f303,plain,(
% 0.22/0.50 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 0.22/0.50 inference(cnf_transformation,[],[f235])).
% 0.22/0.50 thf(f235,plain,(
% 0.22/0.50 (mexists_ind = (^[Y0 : mu > $i > $o]: (mnot @ (mforall_ind @ (^[Y1 : mu]: (mnot @ (Y0 @ Y1)))))))),
% 0.22/0.50 inference(fool_elimination,[],[f234])).
% 0.22/0.50 thf(f234,plain,(
% 0.22/0.50 (mexists_ind = (^[X0 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X1 : mu] : (mnot @ (X0 @ X1)))))))),
% 0.22/0.50 inference(rectify,[],[f12])).
% 0.22/0.50 thf(f12,axiom,(
% 0.22/0.50 (mexists_ind = (^[X3 : mu > $i > $o] : (mnot @ (mforall_ind @ (^[X0 : mu] : (mnot @ (X3 @ X0)))))))),
% 0.22/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mexists_ind)).
% 0.22/0.50 thf(f311,plain,(
% 0.22/0.50 ($true = (~ (mvalid @ (mexists_ind @ (^[Y0 : mu]: (mbox @ r2 @ (good_in_maths @ Y0)))))))),
% 0.22/0.50 inference(cnf_transformation,[],[f279])).
% 0.22/0.50 thf(f279,plain,(
% 0.22/0.50 ($true = (~ (mvalid @ (mexists_ind @ (^[Y0 : mu]: (mbox @ r2 @ (good_in_maths @ Y0)))))))),
% 0.22/0.50 inference(fool_elimination,[],[f278])).
% 0.22/0.50 thf(f278,plain,(
% 0.22/0.50 ~(mvalid @ (mexists_ind @ (^[X0 : mu] : (mbox @ r2 @ (good_in_maths @ X0)))))),
% 0.22/0.50 inference(rectify,[],[f99])).
% 0.22/0.50 thf(f99,negated_conjecture,(
% 0.22/0.50 ~(mvalid @ (mexists_ind @ (^[X0 : mu] : (mbox @ r2 @ (good_in_maths @ X0)))))),
% 0.22/0.50 inference(negated_conjecture,[],[f98])).
% 0.22/0.50 thf(f98,conjecture,(
% 0.22/0.50 (mvalid @ (mexists_ind @ (^[X0 : mu] : (mbox @ r2 @ (good_in_maths @ X0)))))),
% 0.22/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj)).
% 0.22/0.50 % SZS output end Proof for theBenchmark
% 0.22/0.50 % (26925)------------------------------
% 0.22/0.50 % (26925)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.22/0.50 % (26925)Termination reason: Refutation
% 0.22/0.50
% 0.22/0.50 % (26925)Memory used [KB]: 6524
% 0.22/0.50 % (26925)Time elapsed: 0.067 s
% 0.22/0.50 % (26925)Instructions burned: 125 (million)
% 0.22/0.50 % (26925)------------------------------
% 0.22/0.50 % (26925)------------------------------
% 0.22/0.50 % (26913)Success in time 0.129 s
%------------------------------------------------------------------------------