TSTP Solution File: SEV254^5 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV254^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% 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 Jun 24 16:02:30 EDT 2024
% Result : Theorem 3.22s 0.87s
% Output : Refutation 3.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : SEV254^5 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.12 % Command : run_vampire %s %d THM
% 0.10/0.32 % Computer : n022.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Fri Jun 21 18:20:23 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.34 This is a TH0_THM_NEQ_NAR problem
% 0.10/0.34 Running higher-order theorem proving
% 0.10/0.34 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
% 0.10/0.36 % (13073)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.10/0.36 % (13069)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)
% 0.10/0.36 % (13072)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)
% 0.10/0.36 % (13070)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.10/0.36 % (13071)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)
% 0.10/0.36 % (13068)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)
% 0.10/0.36 % (13070)Instruction limit reached!
% 0.10/0.36 % (13070)------------------------------
% 0.10/0.36 % (13070)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.10/0.36 % (13070)Termination reason: Unknown
% 0.10/0.36 % (13070)Termination phase: Preprocessing 3
% 0.10/0.36
% 0.10/0.36 % (13070)Memory used [KB]: 1023
% 0.10/0.36 % (13070)Time elapsed: 0.003 s
% 0.10/0.36 % (13070)Instructions burned: 3 (million)
% 0.10/0.36 % (13070)------------------------------
% 0.10/0.36 % (13070)------------------------------
% 0.10/0.36 % (13071)Instruction limit reached!
% 0.10/0.36 % (13071)------------------------------
% 0.10/0.36 % (13071)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.10/0.36 % (13071)Termination reason: Unknown
% 0.10/0.36 % (13071)Termination phase: Saturation
% 0.10/0.36
% 0.10/0.36 % (13071)Memory used [KB]: 1023
% 0.10/0.36 % (13071)Time elapsed: 0.003 s
% 0.10/0.36 % (13071)Instructions burned: 3 (million)
% 0.10/0.36 % (13071)------------------------------
% 0.10/0.36 % (13071)------------------------------
% 0.17/0.36 % (13068)Instruction limit reached!
% 0.17/0.36 % (13068)------------------------------
% 0.17/0.36 % (13068)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.36 % (13068)Termination reason: Unknown
% 0.17/0.36 % (13068)Termination phase: Saturation
% 0.17/0.36
% 0.17/0.36 % (13068)Memory used [KB]: 5500
% 0.17/0.36 % (13068)Time elapsed: 0.004 s
% 0.17/0.36 % (13068)Instructions burned: 4 (million)
% 0.17/0.36 % (13068)------------------------------
% 0.17/0.36 % (13068)------------------------------
% 0.17/0.36 % (13067)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.17/0.37 % (13073)Instruction limit reached!
% 0.17/0.37 % (13073)------------------------------
% 0.17/0.37 % (13073)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.37 % (13073)Termination reason: Unknown
% 0.17/0.37 % (13073)Termination phase: Saturation
% 0.17/0.37
% 0.17/0.37 % (13073)Memory used [KB]: 5628
% 0.17/0.37 % (13073)Time elapsed: 0.012 s
% 0.17/0.37 % (13073)Instructions burned: 18 (million)
% 0.17/0.37 % (13073)------------------------------
% 0.17/0.37 % (13073)------------------------------
% 0.17/0.37 % (13069)Instruction limit reached!
% 0.17/0.37 % (13069)------------------------------
% 0.17/0.37 % (13069)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.37 % (13069)Termination reason: Unknown
% 0.17/0.37 % (13069)Termination phase: Saturation
% 0.17/0.37
% 0.17/0.37 % (13069)Memory used [KB]: 5756
% 0.17/0.37 % (13069)Time elapsed: 0.016 s
% 0.17/0.37 % (13069)Instructions burned: 27 (million)
% 0.17/0.37 % (13069)------------------------------
% 0.17/0.37 % (13069)------------------------------
% 0.17/0.38 % (13075)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)
% 0.17/0.38 % (13074)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)
% 0.17/0.38 % (13076)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)
% 0.17/0.38 % (13074)Instruction limit reached!
% 0.17/0.38 % (13074)------------------------------
% 0.17/0.38 % (13074)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.38 % (13074)Termination reason: Unknown
% 0.17/0.38 % (13074)Termination phase: Property scanning
% 0.17/0.38
% 0.17/0.38 % (13074)Memory used [KB]: 1023
% 0.17/0.38 % (13074)Time elapsed: 0.003 s
% 0.17/0.38 % (13074)Instructions burned: 4 (million)
% 0.17/0.38 % (13074)------------------------------
% 0.17/0.38 % (13074)------------------------------
% 0.17/0.38 % (13077)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)
% 0.17/0.38 % (13077)Instruction limit reached!
% 0.17/0.38 % (13077)------------------------------
% 0.17/0.38 % (13077)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.38 % (13077)Termination reason: Unknown
% 0.17/0.38 % (13077)Termination phase: Preprocessing 3
% 0.17/0.38
% 0.17/0.38 % (13077)Memory used [KB]: 1023
% 0.17/0.38 % (13077)Time elapsed: 0.003 s
% 0.17/0.38 % (13077)Instructions burned: 3 (million)
% 0.17/0.38 % (13077)------------------------------
% 0.17/0.38 % (13077)------------------------------
% 0.17/0.38 % (13076)Instruction limit reached!
% 0.17/0.38 % (13076)------------------------------
% 0.17/0.38 % (13076)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.38 % (13076)Termination reason: Unknown
% 0.17/0.38 % (13076)Termination phase: Saturation
% 0.17/0.38
% 0.17/0.38 % (13076)Memory used [KB]: 5756
% 0.17/0.38 % (13076)Time elapsed: 0.010 s
% 0.17/0.38 % (13076)Instructions burned: 16 (million)
% 0.17/0.38 % (13076)------------------------------
% 0.17/0.38 % (13076)------------------------------
% 0.17/0.39 % (13078)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)
% 0.17/0.39 % (13079)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.39 % (13075)Instruction limit reached!
% 0.17/0.39 % (13075)------------------------------
% 0.17/0.39 % (13075)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.39 % (13075)Termination reason: Unknown
% 0.17/0.39 % (13075)Termination phase: Saturation
% 0.17/0.39
% 0.17/0.39 % (13075)Memory used [KB]: 5884
% 0.17/0.39 % (13075)Time elapsed: 0.019 s
% 0.17/0.39 % (13075)Instructions burned: 37 (million)
% 0.17/0.39 % (13075)------------------------------
% 0.17/0.39 % (13075)------------------------------
% 0.17/0.39 % (13079)Instruction limit reached!
% 0.17/0.39 % (13079)------------------------------
% 0.17/0.39 % (13079)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.39 % (13079)Termination reason: Unknown
% 0.17/0.39 % (13079)Termination phase: Saturation
% 0.17/0.39
% 0.17/0.39 % (13079)Memory used [KB]: 1023
% 0.17/0.39 % (13079)Time elapsed: 0.006 s
% 0.17/0.39 % (13079)Instructions burned: 7 (million)
% 0.17/0.39 % (13079)------------------------------
% 0.17/0.39 % (13079)------------------------------
% 0.17/0.40 % (13082)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)
% 0.17/0.40 % (13082)Instruction limit reached!
% 0.17/0.40 % (13082)------------------------------
% 0.17/0.40 % (13082)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.40 % (13082)Termination reason: Unknown
% 0.17/0.40 % (13082)Termination phase: Clausification
% 0.17/0.40
% 0.17/0.40 % (13082)Memory used [KB]: 1023
% 0.17/0.40 % (13082)Time elapsed: 0.003 s
% 0.17/0.40 % (13082)Instructions burned: 3 (million)
% 0.17/0.40 % (13082)------------------------------
% 0.17/0.40 % (13082)------------------------------
% 0.17/0.40 % (13081)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.17/0.41 % (13084)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)
% 0.17/0.41 % (13085)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)
% 0.17/0.41 % (13084)Instruction limit reached!
% 0.17/0.41 % (13084)------------------------------
% 0.17/0.41 % (13084)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.41 % (13084)Termination reason: Unknown
% 0.17/0.41 % (13084)Termination phase: Property scanning
% 0.17/0.41
% 0.17/0.41 % (13084)Memory used [KB]: 1023
% 0.17/0.41 % (13084)Time elapsed: 0.004 s
% 0.17/0.41 % (13084)Instructions burned: 5 (million)
% 0.17/0.41 % (13084)------------------------------
% 0.17/0.41 % (13084)------------------------------
% 0.17/0.41 % (13081)Instruction limit reached!
% 0.17/0.41 % (13081)------------------------------
% 0.17/0.41 % (13081)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.41 % (13081)Termination reason: Unknown
% 0.17/0.41 % (13081)Termination phase: Saturation
% 0.17/0.41
% 0.17/0.41 % (13081)Memory used [KB]: 5628
% 0.17/0.41 % (13081)Time elapsed: 0.010 s
% 0.17/0.41 % (13081)Instructions burned: 16 (million)
% 0.17/0.41 % (13081)------------------------------
% 0.17/0.41 % (13081)------------------------------
% 0.17/0.41 % (13085)Instruction limit reached!
% 0.17/0.41 % (13085)------------------------------
% 0.17/0.41 % (13085)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.41 % (13085)Termination reason: Unknown
% 0.17/0.41 % (13085)Termination phase: Saturation
% 0.17/0.41
% 0.17/0.41 % (13085)Memory used [KB]: 5500
% 0.17/0.41 % (13085)Time elapsed: 0.005 s
% 0.17/0.41 % (13085)Instructions burned: 7 (million)
% 0.17/0.41 % (13085)------------------------------
% 0.17/0.41 % (13085)------------------------------
% 0.17/0.41 % (13086)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)
% 0.17/0.42 % (13086)Instruction limit reached!
% 0.17/0.42 % (13086)------------------------------
% 0.17/0.42 % (13086)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.42 % (13086)Termination reason: Unknown
% 0.17/0.42 % (13086)Termination phase: Saturation
% 0.17/0.42
% 0.17/0.42 % (13086)Memory used [KB]: 5500
% 0.17/0.42 % (13086)Time elapsed: 0.003 s
% 0.17/0.42 % (13086)Instructions burned: 4 (million)
% 0.17/0.42 % (13086)------------------------------
% 0.17/0.42 % (13086)------------------------------
% 0.17/0.42 % (13087)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.17/0.42 % (13088)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)
% 0.17/0.43 % (13089)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.17/0.43 % (13087)Instruction limit reached!
% 0.17/0.43 % (13087)------------------------------
% 0.17/0.43 % (13087)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.43 % (13087)Termination reason: Unknown
% 0.17/0.43 % (13087)Termination phase: Saturation
% 0.17/0.43
% 0.17/0.43 % (13087)Memory used [KB]: 5500
% 0.17/0.43 % (13087)Time elapsed: 0.004 s
% 0.17/0.43 % (13087)Instructions burned: 5 (million)
% 0.17/0.43 % (13087)------------------------------
% 0.17/0.43 % (13087)------------------------------
% 0.17/0.43 % (13090)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.17/0.43 % (13088)Instruction limit reached!
% 0.17/0.43 % (13088)------------------------------
% 0.17/0.43 % (13088)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.43 % (13088)Termination reason: Unknown
% 0.17/0.43 % (13088)Termination phase: Saturation
% 0.17/0.43
% 0.17/0.43 % (13088)Memory used [KB]: 5628
% 0.17/0.43 % (13088)Time elapsed: 0.011 s
% 0.17/0.43 % (13088)Instructions burned: 19 (million)
% 0.17/0.43 % (13088)------------------------------
% 0.17/0.43 % (13088)------------------------------
% 0.17/0.43 % (13090)Instruction limit reached!
% 0.17/0.43 % (13090)------------------------------
% 0.17/0.43 % (13090)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.43 % (13090)Termination reason: Unknown
% 0.17/0.43 % (13090)Termination phase: Saturation
% 0.17/0.43
% 0.17/0.43 % (13090)Memory used [KB]: 5500
% 0.17/0.43 % (13090)Time elapsed: 0.005 s
% 0.17/0.43 % (13090)Instructions burned: 7 (million)
% 0.17/0.43 % (13090)------------------------------
% 0.17/0.43 % (13090)------------------------------
% 0.17/0.44 % (13091)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)
% 0.17/0.44 % (13067)Instruction limit reached!
% 0.17/0.44 % (13067)------------------------------
% 0.17/0.44 % (13067)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.44 % (13067)Termination reason: Unknown
% 0.17/0.44 % (13067)Termination phase: Saturation
% 0.17/0.44
% 0.17/0.44 % (13067)Memory used [KB]: 6780
% 0.17/0.44 % (13067)Time elapsed: 0.081 s
% 0.17/0.44 % (13067)Instructions burned: 183 (million)
% 0.17/0.44 % (13067)------------------------------
% 0.17/0.44 % (13067)------------------------------
% 0.17/0.45 % (13091)Refutation not found, incomplete strategy
% 0.17/0.45 % (13091)------------------------------
% 0.17/0.45 % (13091)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.45 % (13091)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.45
% 0.17/0.45
% 0.17/0.45 % (13091)Memory used [KB]: 5628
% 0.17/0.45 % (13091)Time elapsed: 0.007 s
% 0.17/0.45 % (13091)Instructions burned: 11 (million)
% 0.17/0.45 % (13091)------------------------------
% 0.17/0.45 % (13091)------------------------------
% 0.17/0.45 % (13092)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)
% 0.17/0.45 % (13093)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.17/0.45 % (13093)Instruction limit reached!
% 0.17/0.45 % (13093)------------------------------
% 0.17/0.45 % (13093)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.45 % (13093)Termination reason: Unknown
% 0.17/0.45 % (13093)Termination phase: Saturation
% 0.17/0.45
% 0.17/0.45 % (13093)Memory used [KB]: 5500
% 0.17/0.45 % (13093)Time elapsed: 0.004 s
% 0.17/0.45 % (13093)Instructions burned: 6 (million)
% 0.17/0.45 % (13093)------------------------------
% 0.17/0.45 % (13093)------------------------------
% 0.17/0.46 % (13094)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)
% 0.17/0.46 % (13094)Instruction limit reached!
% 0.17/0.46 % (13094)------------------------------
% 0.17/0.46 % (13094)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.46 % (13094)Termination reason: Unknown
% 0.17/0.46 % (13094)Termination phase: Saturation
% 0.17/0.46
% 0.17/0.46 % (13094)Memory used [KB]: 5500
% 0.17/0.46 % (13094)Time elapsed: 0.005 s
% 0.17/0.46 % (13094)Instructions burned: 7 (million)
% 0.17/0.46 % (13094)------------------------------
% 0.17/0.46 % (13094)------------------------------
% 0.17/0.46 % (13092)Instruction limit reached!
% 0.17/0.46 % (13092)------------------------------
% 0.17/0.46 % (13092)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.46 % (13092)Termination reason: Unknown
% 0.17/0.46 % (13092)Termination phase: Saturation
% 0.17/0.46
% 0.17/0.46 % (13092)Memory used [KB]: 5756
% 0.17/0.46 % (13092)Time elapsed: 0.013 s
% 0.17/0.46 % (13092)Instructions burned: 21 (million)
% 0.17/0.46 % (13092)------------------------------
% 0.17/0.46 % (13092)------------------------------
% 0.17/0.46 % (13095)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.17/0.46 % (13096)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)
% 0.17/0.47 % (13098)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2998ds/879Mi)
% 0.17/0.49 % (13097)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 (2998ds/19Mi)
% 0.17/0.49 % (13072)Instruction limit reached!
% 0.17/0.49 % (13072)------------------------------
% 0.17/0.49 % (13072)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.49 % (13072)Termination reason: Unknown
% 0.17/0.49 % (13072)Termination phase: Saturation
% 0.17/0.49
% 0.17/0.49 % (13072)Memory used [KB]: 6524
% 0.17/0.49 % (13072)Time elapsed: 0.132 s
% 0.17/0.49 % (13072)Instructions burned: 275 (million)
% 0.17/0.49 % (13072)------------------------------
% 0.17/0.49 % (13072)------------------------------
% 0.17/0.49 % (13098)Refutation not found, incomplete strategy
% 0.17/0.49 % (13098)------------------------------
% 0.17/0.49 % (13098)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.49 % (13098)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.49
% 0.17/0.49
% 0.17/0.49 % (13098)Memory used [KB]: 5756
% 0.17/0.49 % (13098)Time elapsed: 0.019 s
% 0.17/0.49 % (13098)Instructions burned: 34 (million)
% 0.17/0.49 % (13098)------------------------------
% 0.17/0.49 % (13098)------------------------------
% 0.17/0.50 % (13097)Instruction limit reached!
% 0.17/0.50 % (13097)------------------------------
% 0.17/0.50 % (13097)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.50 % (13097)Termination reason: Unknown
% 0.17/0.50 % (13097)Termination phase: Saturation
% 0.17/0.50
% 0.17/0.50 % (13097)Memory used [KB]: 5628
% 0.17/0.50 % (13097)Time elapsed: 0.043 s
% 0.17/0.50 % (13097)Instructions burned: 19 (million)
% 0.17/0.50 % (13097)------------------------------
% 0.17/0.50 % (13097)------------------------------
% 0.17/0.51 % (13100)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.17/0.51 % (13099)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.17/0.51 % (13100)Instruction limit reached!
% 0.17/0.51 % (13100)------------------------------
% 0.17/0.51 % (13100)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.51 % (13100)Termination reason: Unknown
% 0.17/0.51 % (13100)Termination phase: Property scanning
% 0.17/0.51
% 0.17/0.51 % (13100)Memory used [KB]: 1023
% 0.17/0.51 % (13100)Time elapsed: 0.003 s
% 0.17/0.51 % (13100)Instructions burned: 4 (million)
% 0.17/0.51 % (13100)------------------------------
% 0.17/0.51 % (13100)------------------------------
% 0.17/0.51 % (13101)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.17/0.52 % (13099)Instruction limit reached!
% 0.17/0.52 % (13099)------------------------------
% 0.17/0.52 % (13099)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.52 % (13099)Termination reason: Unknown
% 0.17/0.52 % (13099)Termination phase: Saturation
% 0.17/0.52
% 0.17/0.52 % (13099)Memory used [KB]: 5756
% 0.17/0.52 % (13099)Time elapsed: 0.011 s
% 0.17/0.52 % (13099)Instructions burned: 17 (million)
% 0.17/0.52 % (13099)------------------------------
% 0.17/0.52 % (13099)------------------------------
% 0.17/0.52 % (13101)Refutation not found, incomplete strategy
% 0.17/0.52 % (13101)------------------------------
% 0.17/0.52 % (13101)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.52 % (13101)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.52
% 0.17/0.52
% 0.17/0.52 % (13101)Memory used [KB]: 5628
% 0.17/0.52 % (13101)Time elapsed: 0.031 s
% 0.17/0.52 % (13101)Instructions burned: 12 (million)
% 0.17/0.52 % (13101)------------------------------
% 0.17/0.52 % (13101)------------------------------
% 0.17/0.52 % (13102)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)
% 0.17/0.53 % (13103)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)
% 0.17/0.53 % (13104)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)
% 0.17/0.54 % (13104)Instruction limit reached!
% 0.17/0.54 % (13104)------------------------------
% 0.17/0.54 % (13104)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.54 % (13104)Termination reason: Unknown
% 0.17/0.54 % (13104)Termination phase: Saturation
% 0.17/0.54
% 0.17/0.54 % (13104)Memory used [KB]: 1023
% 0.17/0.54 % (13104)Time elapsed: 0.003 s
% 0.17/0.54 % (13104)Instructions burned: 3 (million)
% 0.17/0.54 % (13104)------------------------------
% 0.17/0.54 % (13104)------------------------------
% 1.41/0.55 % (13105)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)
% 1.41/0.55 % (13103)Refutation not found, incomplete strategy
% 1.41/0.55 % (13103)------------------------------
% 1.41/0.55 % (13103)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.41/0.55 % (13103)Termination reason: Refutation not found, incomplete strategy
% 1.41/0.55
% 1.41/0.55
% 1.41/0.55 % (13103)Memory used [KB]: 5628
% 1.41/0.55 % (13103)Time elapsed: 0.022 s
% 1.41/0.55 % (13103)Instructions burned: 42 (million)
% 1.41/0.55 % (13103)------------------------------
% 1.41/0.55 % (13103)------------------------------
% 1.53/0.56 % (13105)Instruction limit reached!
% 1.53/0.56 % (13105)------------------------------
% 1.53/0.56 % (13105)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.53/0.56 % (13105)Termination reason: Unknown
% 1.53/0.56 % (13105)Termination phase: Saturation
% 1.53/0.56
% 1.53/0.56 % (13105)Memory used [KB]: 5628
% 1.53/0.56 % (13105)Time elapsed: 0.012 s
% 1.53/0.56 % (13105)Instructions burned: 20 (million)
% 1.53/0.56 % (13105)------------------------------
% 1.53/0.56 % (13105)------------------------------
% 1.53/0.56 % (13106)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 (2997ds/86Mi)
% 1.53/0.57 % (13107)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 (2997ds/107Mi)
% 1.53/0.59 % (13102)Instruction limit reached!
% 1.53/0.59 % (13102)------------------------------
% 1.53/0.59 % (13102)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.53/0.59 % (13102)Termination reason: Unknown
% 1.53/0.59 % (13102)Termination phase: Saturation
% 1.53/0.59
% 1.53/0.59 % (13102)Memory used [KB]: 6396
% 1.53/0.59 % (13102)Time elapsed: 0.066 s
% 1.53/0.59 % (13102)Instructions burned: 128 (million)
% 1.53/0.59 % (13102)------------------------------
% 1.53/0.59 % (13102)------------------------------
% 1.53/0.59 % (13106)Instruction limit reached!
% 1.53/0.59 % (13106)------------------------------
% 1.53/0.59 % (13106)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.53/0.59 % (13106)Termination reason: Unknown
% 1.53/0.59 % (13106)Termination phase: Saturation
% 1.53/0.59
% 1.53/0.59 % (13106)Memory used [KB]: 6012
% 1.53/0.59 % (13106)Time elapsed: 0.033 s
% 1.53/0.59 % (13106)Instructions burned: 87 (million)
% 1.53/0.59 % (13106)------------------------------
% 1.53/0.59 % (13106)------------------------------
% 1.53/0.60 % (13108)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 (2997ds/39Mi)
% 1.53/0.61 % (13109)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 (2997ds/448Mi)
% 1.53/0.62 % (13108)Instruction limit reached!
% 1.53/0.62 % (13108)------------------------------
% 1.53/0.62 % (13108)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.53/0.62 % (13108)Termination reason: Unknown
% 1.53/0.62 % (13108)Termination phase: Saturation
% 1.53/0.62
% 1.53/0.62 % (13108)Memory used [KB]: 5756
% 1.53/0.62 % (13108)Time elapsed: 0.022 s
% 1.53/0.62 % (13108)Instructions burned: 40 (million)
% 1.53/0.62 % (13108)------------------------------
% 1.53/0.62 % (13108)------------------------------
% 1.93/0.63 % (13107)Instruction limit reached!
% 1.93/0.63 % (13107)------------------------------
% 1.93/0.63 % (13107)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.93/0.63 % (13107)Termination reason: Unknown
% 1.93/0.63 % (13107)Termination phase: Saturation
% 1.93/0.63
% 1.93/0.63 % (13107)Memory used [KB]: 5884
% 1.93/0.63 % (13107)Time elapsed: 0.058 s
% 1.93/0.63 % (13107)Instructions burned: 109 (million)
% 1.93/0.63 % (13107)------------------------------
% 1.93/0.63 % (13107)------------------------------
% 1.93/0.64 % (13110)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 (2997ds/46Mi)
% 1.93/0.64 % (13095)Instruction limit reached!
% 1.93/0.64 % (13095)------------------------------
% 1.93/0.64 % (13095)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.93/0.64 % (13095)Termination reason: Unknown
% 1.93/0.64 % (13095)Termination phase: Saturation
% 1.93/0.64
% 1.93/0.64 % (13095)Memory used [KB]: 6652
% 1.93/0.64 % (13095)Time elapsed: 0.182 s
% 1.93/0.64 % (13095)Instructions burned: 377 (million)
% 1.93/0.64 % (13095)------------------------------
% 1.93/0.64 % (13095)------------------------------
% 1.93/0.64 % (13111)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 (2997ds/98Mi)
% 2.13/0.66 % (13110)Instruction limit reached!
% 2.13/0.66 % (13110)------------------------------
% 2.13/0.66 % (13110)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.13/0.66 % (13110)Termination reason: Unknown
% 2.13/0.66 % (13110)Termination phase: Saturation
% 2.13/0.66
% 2.13/0.66 % (13110)Memory used [KB]: 5884
% 2.13/0.66 % (13110)Time elapsed: 0.027 s
% 2.13/0.66 % (13110)Instructions burned: 46 (million)
% 2.13/0.66 % (13110)------------------------------
% 2.13/0.66 % (13110)------------------------------
% 2.13/0.67 % (13112)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on theBenchmark for (2997ds/507Mi)
% 2.13/0.68 % (13113)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on theBenchmark for (2996ds/149Mi)
% 2.13/0.69 % (13112)Refutation not found, incomplete strategy
% 2.13/0.69 % (13112)------------------------------
% 2.13/0.69 % (13112)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.13/0.69 % (13112)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.69
% 2.13/0.69
% 2.13/0.69 % (13112)Memory used [KB]: 5756
% 2.13/0.69 % (13112)Time elapsed: 0.023 s
% 2.13/0.69 % (13112)Instructions burned: 51 (million)
% 2.13/0.69 % (13112)------------------------------
% 2.13/0.69 % (13112)------------------------------
% 2.13/0.69 % (13111)Instruction limit reached!
% 2.13/0.69 % (13111)------------------------------
% 2.13/0.69 % (13111)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.13/0.69 % (13111)Termination reason: Unknown
% 2.13/0.69 % (13111)Termination phase: Saturation
% 2.13/0.69
% 2.13/0.69 % (13111)Memory used [KB]: 1151
% 2.13/0.69 % (13111)Time elapsed: 0.050 s
% 2.13/0.69 % (13111)Instructions burned: 99 (million)
% 2.13/0.69 % (13111)------------------------------
% 2.13/0.69 % (13111)------------------------------
% 2.13/0.70 % (13115)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2996ds/39Mi)
% 2.13/0.71 % (13116)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2996ds/6Mi)
% 2.13/0.71 % (13115)Instruction limit reached!
% 2.13/0.71 % (13115)------------------------------
% 2.13/0.71 % (13115)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.13/0.71 % (13115)Termination reason: Unknown
% 2.13/0.71 % (13115)Termination phase: Saturation
% 2.13/0.71
% 2.13/0.71 % (13115)Memory used [KB]: 5756
% 2.13/0.71 % (13115)Time elapsed: 0.015 s
% 2.13/0.71 % (13115)Instructions burned: 41 (million)
% 2.13/0.71 % (13115)------------------------------
% 2.13/0.71 % (13115)------------------------------
% 2.13/0.71 % (13116)Instruction limit reached!
% 2.13/0.71 % (13116)------------------------------
% 2.13/0.71 % (13116)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.13/0.71 % (13116)Termination reason: Unknown
% 2.13/0.71 % (13116)Termination phase: Saturation
% 2.13/0.71
% 2.13/0.71 % (13116)Memory used [KB]: 9978
% 2.13/0.71 % (13116)Time elapsed: 0.005 s
% 2.13/0.71 % (13116)Instructions burned: 6 (million)
% 2.13/0.71 % (13116)------------------------------
% 2.13/0.71 % (13116)------------------------------
% 2.13/0.72 % (13117)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on theBenchmark for (2996ds/1087Mi)
% 2.13/0.73 % (13118)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2996ds/47Mi)
% 2.52/0.75 % (13118)Instruction limit reached!
% 2.52/0.75 % (13118)------------------------------
% 2.52/0.75 % (13118)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.52/0.75 % (13118)Termination reason: Unknown
% 2.52/0.75 % (13118)Termination phase: Saturation
% 2.52/0.75
% 2.52/0.75 % (13118)Memory used [KB]: 5756
% 2.52/0.75 % (13118)Time elapsed: 0.027 s
% 2.52/0.75 % (13118)Instructions burned: 47 (million)
% 2.52/0.75 % (13118)------------------------------
% 2.52/0.75 % (13118)------------------------------
% 2.52/0.75 % (13078)Refutation not found, incomplete strategy
% 2.52/0.75 % (13078)------------------------------
% 2.52/0.75 % (13078)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.52/0.75 % (13078)Termination reason: Refutation not found, incomplete strategy
% 2.52/0.75
% 2.52/0.75
% 2.52/0.75 % (13078)Memory used [KB]: 6396
% 2.52/0.75 % (13078)Time elapsed: 0.365 s
% 2.52/0.75 % (13078)Instructions burned: 777 (million)
% 2.52/0.75 % (13078)------------------------------
% 2.52/0.75 % (13078)------------------------------
% 2.52/0.76 % (13113)Instruction limit reached!
% 2.52/0.76 % (13113)------------------------------
% 2.52/0.76 % (13113)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.52/0.76 % (13113)Termination reason: Unknown
% 2.52/0.76 % (13113)Termination phase: Saturation
% 2.52/0.76
% 2.52/0.76 % (13113)Memory used [KB]: 6268
% 2.52/0.76 % (13113)Time elapsed: 0.083 s
% 2.52/0.76 % (13113)Instructions burned: 150 (million)
% 2.52/0.76 % (13113)------------------------------
% 2.52/0.76 % (13113)------------------------------
% 2.76/0.77 % (13120)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on theBenchmark for (2995ds/432Mi)
% 2.76/0.77 % (13119)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on theBenchmark for (2995ds/44Mi)
% 2.76/0.78 % (13121)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on theBenchmark for (2995ds/62Mi)
% 2.76/0.78 % (13089)Instruction limit reached!
% 2.76/0.78 % (13089)------------------------------
% 2.76/0.78 % (13089)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.76/0.78 % (13089)Termination reason: Unknown
% 2.76/0.78 % (13089)Termination phase: Saturation
% 2.76/0.78
% 2.76/0.78 % (13089)Memory used [KB]: 7675
% 2.76/0.78 % (13089)Time elapsed: 0.359 s
% 2.76/0.78 % (13089)Instructions burned: 711 (million)
% 2.76/0.78 % (13089)------------------------------
% 2.76/0.78 % (13089)------------------------------
% 2.76/0.79 % (13096)Instruction limit reached!
% 2.76/0.79 % (13096)------------------------------
% 2.76/0.79 % (13096)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.76/0.79 % (13096)Termination reason: Unknown
% 2.76/0.79 % (13096)Termination phase: Saturation
% 2.76/0.79
% 2.76/0.79 % (13096)Memory used [KB]: 7291
% 2.76/0.79 % (13096)Time elapsed: 0.352 s
% 2.76/0.79 % (13096)Instructions burned: 779 (million)
% 2.76/0.79 % (13096)------------------------------
% 2.76/0.79 % (13096)------------------------------
% 2.76/0.79 % (13119)Instruction limit reached!
% 2.76/0.79 % (13119)------------------------------
% 2.76/0.79 % (13119)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.76/0.79 % (13119)Termination reason: Unknown
% 2.76/0.79 % (13119)Termination phase: Saturation
% 2.76/0.79
% 2.76/0.79 % (13119)Memory used [KB]: 1279
% 2.76/0.79 % (13119)Time elapsed: 0.024 s
% 2.76/0.79 % (13119)Instructions burned: 45 (million)
% 2.76/0.79 % (13119)------------------------------
% 2.76/0.79 % (13119)------------------------------
% 2.76/0.80 % (13109)Instruction limit reached!
% 2.76/0.80 % (13109)------------------------------
% 2.76/0.80 % (13109)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.76/0.80 % (13109)Termination reason: Unknown
% 2.76/0.80 % (13109)Termination phase: Saturation
% 2.76/0.80
% 2.76/0.80 % (13109)Memory used [KB]: 6652
% 2.76/0.80 % (13109)Time elapsed: 0.189 s
% 2.76/0.80 % (13109)Instructions burned: 448 (million)
% 2.76/0.80 % (13109)------------------------------
% 2.76/0.80 % (13109)------------------------------
% 2.76/0.80 % (13122)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on theBenchmark for (2995ds/31Mi)
% 2.76/0.81 % (13124)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on theBenchmark for (2995ds/453Mi)
% 2.76/0.81 % (13121)Instruction limit reached!
% 2.76/0.81 % (13121)------------------------------
% 2.76/0.81 % (13121)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.76/0.81 % (13121)Termination reason: Unknown
% 2.76/0.81 % (13121)Termination phase: Saturation
% 2.76/0.81
% 2.76/0.81 % (13121)Memory used [KB]: 5756
% 2.76/0.81 % (13121)Time elapsed: 0.034 s
% 2.76/0.81 % (13121)Instructions burned: 63 (million)
% 2.76/0.81 % (13121)------------------------------
% 2.76/0.81 % (13121)------------------------------
% 2.76/0.81 % (13125)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on theBenchmark for (2995ds/71Mi)
% 2.76/0.81 % (13123)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on theBenchmark for (2995ds/96Mi)
% 2.76/0.81 % (13122)Instruction limit reached!
% 2.76/0.81 % (13122)------------------------------
% 2.76/0.81 % (13122)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.76/0.82 % (13122)Termination reason: Unknown
% 2.76/0.82 % (13122)Termination phase: Saturation
% 2.76/0.82
% 2.76/0.82 % (13122)Memory used [KB]: 5756
% 2.76/0.82 % (13122)Time elapsed: 0.018 s
% 2.76/0.82 % (13122)Instructions burned: 31 (million)
% 2.76/0.82 % (13122)------------------------------
% 2.76/0.82 % (13122)------------------------------
% 2.76/0.82 % (13127)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on theBenchmark for (2995ds/83Mi)
% 3.14/0.83 % (13128)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on theBenchmark for (2995ds/11Mi)
% 3.14/0.84 % (13128)Instruction limit reached!
% 3.14/0.84 % (13128)------------------------------
% 3.14/0.84 % (13128)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.14/0.84 % (13128)Termination reason: Unknown
% 3.14/0.84 % (13128)Termination phase: Saturation
% 3.14/0.84
% 3.14/0.84 % (13128)Memory used [KB]: 5500
% 3.14/0.84 % (13128)Time elapsed: 0.007 s
% 3.14/0.84 % (13128)Instructions burned: 12 (million)
% 3.14/0.84 % (13128)------------------------------
% 3.14/0.84 % (13128)------------------------------
% 3.14/0.85 % (13125)Instruction limit reached!
% 3.14/0.85 % (13125)------------------------------
% 3.14/0.85 % (13125)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.14/0.85 % (13125)Termination reason: Unknown
% 3.14/0.85 % (13125)Termination phase: Saturation
% 3.14/0.85
% 3.14/0.85 % (13125)Memory used [KB]: 5756
% 3.14/0.85 % (13125)Time elapsed: 0.038 s
% 3.14/0.85 % (13125)Instructions burned: 72 (million)
% 3.14/0.85 % (13125)------------------------------
% 3.14/0.85 % (13125)------------------------------
% 3.14/0.85 % (13129)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on theBenchmark for (2995ds/41Mi)
% 3.22/0.86 % (13130)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2995ds/6Mi)
% 3.22/0.86 % (13123)Instruction limit reached!
% 3.22/0.86 % (13123)------------------------------
% 3.22/0.86 % (13123)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.22/0.86 % (13123)Termination reason: Unknown
% 3.22/0.86 % (13123)Termination phase: Saturation
% 3.22/0.86
% 3.22/0.86 % (13123)Memory used [KB]: 5884
% 3.22/0.86 % (13123)Time elapsed: 0.051 s
% 3.22/0.86 % (13123)Instructions burned: 96 (million)
% 3.22/0.86 % (13123)------------------------------
% 3.22/0.86 % (13123)------------------------------
% 3.22/0.86 % (13124)First to succeed.
% 3.22/0.86 % (13130)Instruction limit reached!
% 3.22/0.86 % (13130)------------------------------
% 3.22/0.86 % (13130)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.22/0.86 % (13130)Termination reason: Unknown
% 3.22/0.86 % (13130)Termination phase: Saturation
% 3.22/0.86
% 3.22/0.86 % (13130)Memory used [KB]: 5500
% 3.22/0.86 % (13130)Time elapsed: 0.005 s
% 3.22/0.86 % (13130)Instructions burned: 7 (million)
% 3.22/0.86 % (13130)------------------------------
% 3.22/0.86 % (13130)------------------------------
% 3.22/0.87 % (13129)Refutation not found, incomplete strategy
% 3.22/0.87 % (13129)------------------------------
% 3.22/0.87 % (13129)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.22/0.87 % (13129)Termination reason: Refutation not found, incomplete strategy
% 3.22/0.87
% 3.22/0.87
% 3.22/0.87 % (13129)Memory used [KB]: 5628
% 3.22/0.87 % (13129)Time elapsed: 0.016 s
% 3.22/0.87 % (13129)Instructions burned: 30 (million)
% 3.22/0.87 % (13129)------------------------------
% 3.22/0.87 % (13129)------------------------------
% 3.22/0.87 % (13127)Instruction limit reached!
% 3.22/0.87 % (13127)------------------------------
% 3.22/0.87 % (13127)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.22/0.87 % (13127)Termination reason: Unknown
% 3.22/0.87 % (13127)Termination phase: Saturation
% 3.22/0.87
% 3.22/0.87 % (13127)Memory used [KB]: 6012
% 3.22/0.87 % (13127)Time elapsed: 0.044 s
% 3.22/0.87 % (13127)Instructions burned: 84 (million)
% 3.22/0.87 % (13127)------------------------------
% 3.22/0.87 % (13127)------------------------------
% 3.22/0.87 % (13124)Refutation found. Thanks to Tanya!
% 3.22/0.87 % SZS status Theorem for theBenchmark
% 3.22/0.87 % SZS output start Proof for theBenchmark
% 3.22/0.87 thf(func_def_17, type, ph1: !>[X0: $tType]:(X0)).
% 3.22/0.87 thf(func_def_18, type, sK2: ($i > $o) > $i > $o).
% 3.22/0.87 thf(func_def_20, type, sK4: ($i > $o) > $i).
% 3.22/0.87 thf(func_def_21, type, sK5: ($i > $o) > $i).
% 3.22/0.87 thf(func_def_23, type, sK7: $i > $o).
% 3.22/0.87 thf(func_def_24, type, sK8: $i > $o).
% 3.22/0.87 thf(f474,plain,(
% 3.22/0.87 $false),
% 3.22/0.87 inference(avatar_sat_refutation,[],[f28,f37,f95,f287,f319,f324,f327,f471])).
% 3.22/0.87 thf(f471,plain,(
% 3.22/0.87 ~spl0_1 | ~spl0_4 | spl0_5),
% 3.22/0.87 inference(avatar_contradiction_clause,[],[f470])).
% 3.22/0.87 thf(f470,plain,(
% 3.22/0.87 $false | (~spl0_1 | ~spl0_4 | spl0_5)),
% 3.22/0.87 inference(trivial_inequality_removal,[],[f469])).
% 3.22/0.87 thf(f469,plain,(
% 3.22/0.87 ($true = $false) | (~spl0_1 | ~spl0_4 | spl0_5)),
% 3.22/0.87 inference(backward_demodulation,[],[f331,f468])).
% 3.22/0.87 thf(f468,plain,(
% 3.22/0.87 ($false = (sK8 @ sK3)) | (~spl0_1 | ~spl0_4 | spl0_5)),
% 3.22/0.87 inference(trivial_inequality_removal,[],[f463])).
% 3.22/0.87 thf(f463,plain,(
% 3.22/0.87 ($true = $false) | ($false = (sK8 @ sK3)) | (~spl0_1 | ~spl0_4 | spl0_5)),
% 3.22/0.87 inference(superposition,[],[f332,f368])).
% 3.22/0.87 thf(f368,plain,(
% 3.22/0.87 ( ! [X0 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((X0 @ Y0) => (sK2 @ X0 @ Y0)))) = $false) | ($false = (X0 @ sK3))) ) | (~spl0_4 | spl0_5)),
% 3.22/0.87 inference(trivial_inequality_removal,[],[f354])).
% 3.22/0.87 thf(f354,plain,(
% 3.22/0.87 ( ! [X0 : $i > $o] : (($true = $false) | ($false = (X0 @ sK3)) | ((!! @ $i @ (^[Y0 : $i]: ((X0 @ Y0) => (sK2 @ X0 @ Y0)))) = $false)) ) | (~spl0_4 | spl0_5)),
% 3.22/0.87 inference(superposition,[],[f299,f36])).
% 3.22/0.87 thf(f36,plain,(
% 3.22/0.87 ($false = (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ sK3)) | ~spl0_4),
% 3.22/0.87 inference(avatar_component_clause,[],[f34])).
% 3.22/0.87 thf(f34,plain,(
% 3.22/0.87 spl0_4 <=> ($false = (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ sK3))),
% 3.22/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
% 3.22/0.87 thf(f299,plain,(
% 3.22/0.87 ( ! [X2 : $i > $o,X1 : $i] : (($true = (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ X1)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) => (sK2 @ X2 @ Y0))))) | ($false = (X2 @ X1))) ) | spl0_5),
% 3.22/0.87 inference(binary_proxy_clausification,[],[f296])).
% 3.22/0.87 thf(f296,plain,(
% 3.22/0.87 ( ! [X2 : $i > $o,X1 : $i] : (($false = ((X2 @ X1) & (!! @ $i @ (^[Y0 : $i]: ((X2 @ Y0) => (sK2 @ X2 @ Y0)))))) | ($true = (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ X1))) ) | spl0_5),
% 3.22/0.87 inference(beta_eta_normalization,[],[f291])).
% 3.22/0.87 thf(f291,plain,(
% 3.22/0.87 ( ! [X2 : $i > $o,X1 : $i] : (($false = ((^[Y0 : $i > $o]: ((Y0 @ X1) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1)))))) @ X2)) | ($true = (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ X1))) ) | spl0_5),
% 3.22/0.87 inference(pi_clausification,[],[f290])).
% 3.22/0.87 thf(f290,plain,(
% 3.22/0.87 ( ! [X1 : $i] : (($true = (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ X1)) | ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ X1) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1))))))) = $false)) ) | spl0_5),
% 3.22/0.87 inference(binary_proxy_clausification,[],[f289])).
% 3.22/0.87 thf(f289,plain,(
% 3.22/0.87 ( ! [X1 : $i] : (($true = ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ X1) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1))))))) => (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ X1)))) ) | spl0_5),
% 3.22/0.87 inference(beta_eta_normalization,[],[f288])).
% 3.22/0.87 thf(f288,plain,(
% 3.22/0.87 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2))))))) => (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0))) @ X1))) ) | spl0_5),
% 3.22/0.87 inference(pi_clausification,[],[f89])).
% 3.22/0.87 thf(f89,plain,(
% 3.22/0.87 ($false != (!! @ $i @ (^[Y0 : $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2))))))) => (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0))))) | spl0_5),
% 3.22/0.87 inference(avatar_component_clause,[],[f88])).
% 3.22/0.87 thf(f88,plain,(
% 3.22/0.87 spl0_5 <=> ($false = (!! @ $i @ (^[Y0 : $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2))))))) => (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0)))))),
% 3.22/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
% 3.22/0.87 thf(f332,plain,(
% 3.22/0.87 ($true = (!! @ $i @ (^[Y0 : $i]: ((sK8 @ Y0) => (sK2 @ sK8 @ Y0))))) | ~spl0_1),
% 3.22/0.87 inference(binary_proxy_clausification,[],[f330])).
% 3.22/0.87 thf(f330,plain,(
% 3.22/0.87 ($true = ((!! @ $i @ (^[Y0 : $i]: ((sK8 @ Y0) => (sK2 @ sK8 @ Y0)))) & (sK8 @ sK3))) | ~spl0_1),
% 3.22/0.87 inference(beta_eta_normalization,[],[f329])).
% 3.22/0.87 thf(f329,plain,(
% 3.22/0.87 ($true = ((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1)))) & (Y0 @ sK3))) @ sK8)) | ~spl0_1),
% 3.22/0.87 inference(sigma_clausification,[],[f23])).
% 3.22/0.87 thf(f23,plain,(
% 3.22/0.87 ($true = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1)))) & (Y0 @ sK3))))) | ~spl0_1),
% 3.22/0.87 inference(avatar_component_clause,[],[f21])).
% 3.22/0.87 thf(f21,plain,(
% 3.22/0.87 spl0_1 <=> ($true = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1)))) & (Y0 @ sK3)))))),
% 3.22/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
% 3.22/0.87 thf(f331,plain,(
% 3.22/0.87 ($true = (sK8 @ sK3)) | ~spl0_1),
% 3.22/0.87 inference(binary_proxy_clausification,[],[f330])).
% 3.22/0.87 thf(f327,plain,(
% 3.22/0.87 ~spl0_2 | ~spl0_4),
% 3.22/0.87 inference(avatar_contradiction_clause,[],[f326])).
% 3.22/0.87 thf(f326,plain,(
% 3.22/0.87 $false | (~spl0_2 | ~spl0_4)),
% 3.22/0.87 inference(trivial_inequality_removal,[],[f325])).
% 3.22/0.87 thf(f325,plain,(
% 3.22/0.87 ($true = $false) | (~spl0_2 | ~spl0_4)),
% 3.22/0.87 inference(backward_demodulation,[],[f27,f36])).
% 3.22/0.87 thf(f27,plain,(
% 3.22/0.87 ($true = (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ sK3)) | ~spl0_2),
% 3.22/0.87 inference(avatar_component_clause,[],[f25])).
% 3.22/0.87 thf(f25,plain,(
% 3.22/0.87 spl0_2 <=> ($true = (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ sK3))),
% 3.22/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
% 3.22/0.87 thf(f324,plain,(
% 3.22/0.87 ~spl0_1 | ~spl0_3),
% 3.22/0.87 inference(avatar_contradiction_clause,[],[f323])).
% 3.22/0.87 thf(f323,plain,(
% 3.22/0.87 $false | (~spl0_1 | ~spl0_3)),
% 3.22/0.87 inference(trivial_inequality_removal,[],[f322])).
% 3.22/0.87 thf(f322,plain,(
% 3.22/0.87 ($true = $false) | (~spl0_1 | ~spl0_3)),
% 3.22/0.87 inference(forward_demodulation,[],[f23,f32])).
% 3.22/0.87 thf(f32,plain,(
% 3.22/0.87 ($false = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1)))) & (Y0 @ sK3))))) | ~spl0_3),
% 3.22/0.87 inference(avatar_component_clause,[],[f30])).
% 3.22/0.87 thf(f30,plain,(
% 3.22/0.87 spl0_3 <=> ($false = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1)))) & (Y0 @ sK3)))))),
% 3.22/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
% 3.22/0.87 thf(f319,plain,(
% 3.22/0.87 ~spl0_2 | ~spl0_3 | ~spl0_6),
% 3.22/0.87 inference(avatar_contradiction_clause,[],[f318])).
% 3.22/0.87 thf(f318,plain,(
% 3.22/0.87 $false | (~spl0_2 | ~spl0_3 | ~spl0_6)),
% 3.22/0.87 inference(trivial_inequality_removal,[],[f317])).
% 3.22/0.87 thf(f317,plain,(
% 3.22/0.87 ($true = $false) | (~spl0_2 | ~spl0_3 | ~spl0_6)),
% 3.22/0.87 inference(backward_demodulation,[],[f27,f316])).
% 3.22/0.87 thf(f316,plain,(
% 3.22/0.87 ($false = (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ sK3)) | (~spl0_3 | ~spl0_6)),
% 3.22/0.87 inference(trivial_inequality_removal,[],[f312])).
% 3.22/0.87 thf(f312,plain,(
% 3.22/0.87 ($false = (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ sK3)) | ($true = $false) | (~spl0_3 | ~spl0_6)),
% 3.22/0.87 inference(superposition,[],[f94,f40])).
% 3.22/0.87 thf(f40,plain,(
% 3.22/0.87 ( ! [X1 : $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (sK2 @ X1 @ Y0))))) | ($false = (X1 @ sK3))) ) | ~spl0_3),
% 3.22/0.87 inference(binary_proxy_clausification,[],[f39])).
% 3.22/0.87 thf(f39,plain,(
% 3.22/0.87 ( ! [X1 : $i > $o] : (($false = ((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (sK2 @ X1 @ Y0)))) & (X1 @ sK3)))) ) | ~spl0_3),
% 3.22/0.87 inference(beta_eta_normalization,[],[f38])).
% 3.22/0.87 thf(f38,plain,(
% 3.22/0.87 ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1)))) & (Y0 @ sK3))) @ X1) = $false)) ) | ~spl0_3),
% 3.22/0.87 inference(pi_clausification,[],[f32])).
% 3.22/0.87 thf(f94,plain,(
% 3.22/0.87 ($true = (!! @ $i @ (^[Y0 : $i]: ((sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0) => (sK2 @ (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1)))))) @ Y0))))) | ~spl0_6),
% 3.22/0.87 inference(avatar_component_clause,[],[f92])).
% 3.22/0.87 thf(f92,plain,(
% 3.22/0.87 spl0_6 <=> ($true = (!! @ $i @ (^[Y0 : $i]: ((sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0) => (sK2 @ (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1)))))) @ Y0)))))),
% 3.22/0.87 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
% 3.22/0.87 thf(f287,plain,(
% 3.22/0.87 ~spl0_5),
% 3.22/0.87 inference(avatar_contradiction_clause,[],[f286])).
% 3.22/0.87 thf(f286,plain,(
% 3.22/0.87 $false | ~spl0_5),
% 3.22/0.87 inference(trivial_inequality_removal,[],[f285])).
% 3.22/0.87 thf(f285,plain,(
% 3.22/0.87 ($true = $false) | ~spl0_5),
% 3.22/0.87 inference(backward_demodulation,[],[f190,f284])).
% 3.22/0.87 thf(f284,plain,(
% 3.22/0.87 ($false = (sK7 @ (sK5 @ sK7))) | ~spl0_5),
% 3.22/0.87 inference(trivial_inequality_removal,[],[f283])).
% 3.22/0.87 thf(f283,plain,(
% 3.22/0.87 ($false = (sK7 @ (sK5 @ sK7))) | ($true = $false) | ~spl0_5),
% 3.22/0.87 inference(forward_demodulation,[],[f280,f123])).
% 3.22/0.87 thf(f123,plain,(
% 3.22/0.87 ((sK7 @ sK6) = $true) | ~spl0_5),
% 3.22/0.87 inference(binary_proxy_clausification,[],[f121])).
% 3.22/0.87 thf(f121,plain,(
% 3.22/0.87 ($true = ((sK7 @ sK6) & (!! @ $i @ (^[Y0 : $i]: ((sK7 @ Y0) => (sK2 @ sK7 @ Y0)))))) | ~spl0_5),
% 3.22/0.87 inference(beta_eta_normalization,[],[f120])).
% 3.22/0.87 thf(f120,plain,(
% 3.22/0.87 ($true = ((^[Y0 : $i > $o]: ((Y0 @ sK6) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1)))))) @ sK7)) | ~spl0_5),
% 3.22/0.87 inference(sigma_clausification,[],[f119])).
% 3.22/0.87 thf(f119,plain,(
% 3.22/0.87 ($true = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ sK6) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1)))))))) | ~spl0_5),
% 3.22/0.87 inference(binary_proxy_clausification,[],[f117])).
% 3.22/0.87 thf(f117,plain,(
% 3.22/0.87 ($false = ((?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ sK6) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1))))))) => (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ sK6))) | ~spl0_5),
% 3.22/0.87 inference(beta_eta_normalization,[],[f116])).
% 3.22/0.87 thf(f116,plain,(
% 3.22/0.87 ($false = ((^[Y0 : $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2))))))) => (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0))) @ sK6)) | ~spl0_5),
% 3.22/0.87 inference(sigma_clausification,[],[f90])).
% 3.22/0.87 thf(f90,plain,(
% 3.22/0.87 ($false = (!! @ $i @ (^[Y0 : $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2))))))) => (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0))))) | ~spl0_5),
% 3.22/0.87 inference(avatar_component_clause,[],[f88])).
% 3.22/0.87 thf(f280,plain,(
% 3.22/0.87 ((sK7 @ sK6) = $false) | ($false = (sK7 @ (sK5 @ sK7))) | ~spl0_5),
% 3.22/0.87 inference(trivial_inequality_removal,[],[f265])).
% 3.22/0.87 thf(f265,plain,(
% 3.22/0.87 ($false = (sK7 @ (sK5 @ sK7))) | ((sK7 @ sK6) = $false) | ($true = $false) | ~spl0_5),
% 3.22/0.87 inference(superposition,[],[f180,f256])).
% 3.22/0.87 thf(f256,plain,(
% 3.22/0.87 ( ! [X0 : $i > $o] : (($false = (sK2 @ X0 @ sK6)) | ($false = (sK7 @ (sK5 @ X0)))) ) | ~spl0_5),
% 3.22/0.87 inference(trivial_inequality_removal,[],[f252])).
% 3.22/0.87 thf(f252,plain,(
% 3.22/0.87 ( ! [X0 : $i > $o] : (($false = (sK7 @ (sK5 @ X0))) | ($false = (sK2 @ X0 @ sK6)) | ($true = $false)) ) | ~spl0_5),
% 3.22/0.87 inference(superposition,[],[f143,f122])).
% 3.22/0.87 thf(f122,plain,(
% 3.22/0.87 ($true = (!! @ $i @ (^[Y0 : $i]: ((sK7 @ Y0) => (sK2 @ sK7 @ Y0))))) | ~spl0_5),
% 3.22/0.87 inference(binary_proxy_clausification,[],[f121])).
% 3.22/0.87 thf(f143,plain,(
% 3.22/0.87 ( ! [X0 : $i > $o,X1 : $i > $o] : (((!! @ $i @ (^[Y0 : $i]: ((X0 @ Y0) => (sK2 @ X0 @ Y0)))) = $false) | ($false = (sK2 @ X1 @ sK6)) | ($false = (X0 @ (sK5 @ X1)))) ) | ~spl0_5),
% 3.22/0.87 inference(trivial_inequality_removal,[],[f126])).
% 3.22/0.87 thf(f126,plain,(
% 3.22/0.87 ( ! [X0 : $i > $o,X1 : $i > $o] : (($false = (X0 @ (sK5 @ X1))) | ($false = (sK2 @ X1 @ sK6)) | ($true = $false) | ((!! @ $i @ (^[Y0 : $i]: ((X0 @ Y0) => (sK2 @ X0 @ Y0)))) = $false)) ) | ~spl0_5),
% 3.22/0.87 inference(superposition,[],[f118,f74])).
% 3.22/0.87 thf(f74,plain,(
% 3.22/0.87 ( ! [X2 : $i,X3 : $i > $o,X1 : $i > $o] : (($true = (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ X2)) | ($false = (!! @ $i @ (^[Y0 : $i]: ((X3 @ Y0) => (sK2 @ X3 @ Y0))))) | ($false = (sK2 @ X1 @ X2)) | ($false = (X3 @ (sK5 @ X1)))) )),
% 3.22/0.87 inference(binary_proxy_clausification,[],[f69])).
% 3.22/0.87 thf(f69,plain,(
% 3.22/0.87 ( ! [X2 : $i,X3 : $i > $o,X1 : $i > $o] : (($false = ((X3 @ (sK5 @ X1)) & (!! @ $i @ (^[Y0 : $i]: ((X3 @ Y0) => (sK2 @ X3 @ Y0)))))) | ($false = (sK2 @ X1 @ X2)) | ($true = (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ X2))) )),
% 3.22/0.87 inference(beta_eta_normalization,[],[f65])).
% 3.22/0.87 thf(f65,plain,(
% 3.22/0.87 ( ! [X2 : $i,X3 : $i > $o,X1 : $i > $o] : (($false = ((^[Y0 : $i > $o]: ((Y0 @ (sK5 @ X1)) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1)))))) @ X3)) | ($true = (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ X2)) | ($false = (sK2 @ X1 @ X2))) )),
% 3.22/0.87 inference(pi_clausification,[],[f53])).
% 3.22/0.87 thf(f53,plain,(
% 3.22/0.87 ( ! [X2 : $i,X1 : $i > $o] : (($true = (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ X2)) | ($false = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ (sK5 @ X1)) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1)))))))) | ($false = (sK2 @ X1 @ X2))) )),
% 3.22/0.87 inference(binary_proxy_clausification,[],[f52])).
% 3.22/0.87 thf(f52,plain,(
% 3.22/0.87 ( ! [X2 : $i,X1 : $i > $o] : (($false = ((X1 @ (sK5 @ X1)) => (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((Y0 @ (sK5 @ X1)) & (!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1))))))))) | ($true = (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ X2)) | ($false = (sK2 @ X1 @ X2))) )),
% 3.22/0.87 inference(beta_eta_normalization,[],[f51])).
% 3.22/0.87 thf(f51,plain,(
% 3.22/0.87 ( ! [X2 : $i,X1 : $i > $o] : (($false = ((^[Y0 : $i]: ((X1 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2))))))))) @ (sK5 @ X1))) | ($false = (sK2 @ X1 @ X2)) | ($true = (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ X2))) )),
% 3.22/0.87 inference(sigma_clausification,[],[f50])).
% 3.22/0.87 thf(f50,plain,(
% 3.22/0.87 ( ! [X2 : $i,X1 : $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2))))))))))) | ($false = (sK2 @ X1 @ X2)) | ($true = (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ X2))) )),
% 3.22/0.87 inference(binary_proxy_clausification,[],[f49])).
% 3.22/0.87 thf(f49,plain,(
% 3.22/0.87 ( ! [X2 : $i,X1 : $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2))))))))))) | ($true = ((sK2 @ X1 @ X2) => (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ X2)))) )),
% 3.22/0.87 inference(beta_eta_normalization,[],[f48])).
% 3.22/0.87 thf(f48,plain,(
% 3.22/0.87 ( ! [X2 : $i,X1 : $i > $o] : (($false = (!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2))))))))))) | ($true = ((^[Y0 : $i]: ((sK2 @ X1 @ Y0) => (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0))) @ X2))) )),
% 3.22/0.87 inference(pi_clausification,[],[f47])).
% 3.22/0.87 thf(f47,plain,(
% 3.22/0.87 ( ! [X1 : $i > $o] : (($true = (!! @ $i @ (^[Y0 : $i]: ((sK2 @ X1 @ Y0) => (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))))))))))) )),
% 3.22/0.87 inference(binary_proxy_clausification,[],[f46])).
% 3.22/0.87 thf(f46,plain,(
% 3.22/0.87 ( ! [X1 : $i > $o] : (($true = ((!! @ $i @ (^[Y0 : $i]: ((X1 @ Y0) => (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))))))))) => (!! @ $i @ (^[Y0 : $i]: ((sK2 @ X1 @ Y0) => (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0))))))) )),
% 3.22/0.87 inference(beta_eta_normalization,[],[f45])).
% 3.22/0.87 thf(f45,plain,(
% 3.22/0.87 ( ! [X1 : $i > $o] : ((((^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))))))))) => (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y0 @ Y1) => (sK2 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (sK2 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1)))))) @ X1) = $true)) )),
% 3.22/0.87 inference(pi_clausification,[],[f12])).
% 3.22/0.87 thf(f12,plain,(
% 3.22/0.87 ($true = (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))))))))) => (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y0 @ Y1) => (sK2 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (sK2 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1))))))))),
% 3.22/0.87 inference(binary_proxy_clausification,[],[f11])).
% 3.22/0.87 thf(f11,plain,(
% 3.22/0.87 ((((!! @ $i @ (^[Y0 : $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2))))))) => (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0)))) => (!! @ $i @ (^[Y0 : $i]: ((sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0) => (sK2 @ (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1)))))) @ Y0))))) & (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))))))))) => (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y0 @ Y1) => (sK2 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (sK2 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1)))))))) = $true)),
% 3.22/0.87 inference(binary_proxy_clausification,[],[f9])).
% 3.22/0.87 thf(f9,plain,(
% 3.22/0.87 ($false = ((((!! @ $i @ (^[Y0 : $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2))))))) => (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0)))) => (!! @ $i @ (^[Y0 : $i]: ((sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0) => (sK2 @ (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1)))))) @ Y0))))) & (!! @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))))))))) => (!! @ $i @ (^[Y1 : $i]: ((sK2 @ Y0 @ Y1) => (sK2 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (sK2 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1)))))))) => (!! @ $i @ (^[Y0 : $i]: ((sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0) = (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0)))))))))),
% 3.22/0.87 inference(beta_eta_normalization,[],[f8])).
% 3.22/0.87 thf(f8,plain,(
% 3.22/0.87 ($false = ((^[Y0 : ($i > $o) > $i > $o]: ((((!! @ $i @ (^[Y1 : $i]: ((?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3))))))) => (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1)))) => (!! @ $i @ (^[Y1 : $i]: ((Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1) => (Y0 @ (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2)))))) @ Y1))))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))))) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ (^[Y3 : $i]: (?? @ ($i > $o) @ (^[Y4 : $i > $o]: ((!! @ $i @ (^[Y5 : $i]: ((Y4 @ Y5) => (Y0 @ Y4 @ Y5)))) & (Y4 @ Y3))))) @ Y2)))))))) => (!! @ $i @ (^[Y1 : $i]: ((Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1) = (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3)))) & (Y2 @ Y1))))))))) @ sK2))),
% 3.22/0.87 inference(sigma_clausification,[],[f7])).
% 3.22/0.87 thf(f7,plain,(
% 3.22/0.87 ($false = (!! @ (($i > $o) > $i > $o) @ (^[Y0 : ($i > $o) > $i > $o]: ((((!! @ $i @ (^[Y1 : $i]: ((?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3))))))) => (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1)))) => (!! @ $i @ (^[Y1 : $i]: ((Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1) => (Y0 @ (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2)))))) @ Y1))))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))))) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ (^[Y3 : $i]: (?? @ ($i > $o) @ (^[Y4 : $i > $o]: ((!! @ $i @ (^[Y5 : $i]: ((Y4 @ Y5) => (Y0 @ Y4 @ Y5)))) & (Y4 @ Y3))))) @ Y2)))))))) => (!! @ $i @ (^[Y1 : $i]: ((Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1) = (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3)))) & (Y2 @ Y1)))))))))))),
% 3.22/0.87 inference(not_proxy_clausification,[],[f6])).
% 3.22/0.87 thf(f6,plain,(
% 3.22/0.87 ($true = (~ (!! @ (($i > $o) > $i > $o) @ (^[Y0 : ($i > $o) > $i > $o]: ((((!! @ $i @ (^[Y1 : $i]: ((?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3))))))) => (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1)))) => (!! @ $i @ (^[Y1 : $i]: ((Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1) => (Y0 @ (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2)))))) @ Y1))))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))))) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ (^[Y3 : $i]: (?? @ ($i > $o) @ (^[Y4 : $i > $o]: ((!! @ $i @ (^[Y5 : $i]: ((Y4 @ Y5) => (Y0 @ Y4 @ Y5)))) & (Y4 @ Y3))))) @ Y2)))))))) => (!! @ $i @ (^[Y1 : $i]: ((Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1) = (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3)))) & (Y2 @ Y1))))))))))))),
% 3.22/0.87 inference(cnf_transformation,[],[f5])).
% 3.22/0.87 thf(f5,plain,(
% 3.22/0.87 ($true = (~ (!! @ (($i > $o) > $i > $o) @ (^[Y0 : ($i > $o) > $i > $o]: ((((!! @ $i @ (^[Y1 : $i]: ((?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((Y2 @ Y1) & (!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3))))))) => (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1)))) => (!! @ $i @ (^[Y1 : $i]: ((Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1) => (Y0 @ (Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2)))))) @ Y1))))) & (!! @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((Y3 @ Y2) & (!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))))))))) => (!! @ $i @ (^[Y2 : $i]: ((Y0 @ Y1 @ Y2) => (Y0 @ (^[Y3 : $i]: (?? @ ($i > $o) @ (^[Y4 : $i > $o]: ((!! @ $i @ (^[Y5 : $i]: ((Y4 @ Y5) => (Y0 @ Y4 @ Y5)))) & (Y4 @ Y3))))) @ Y2)))))))) => (!! @ $i @ (^[Y1 : $i]: ((Y0 @ (^[Y2 : $i]: (?? @ ($i > $o) @ (^[Y3 : $i > $o]: ((!! @ $i @ (^[Y4 : $i]: ((Y3 @ Y4) => (Y0 @ Y3 @ Y4)))) & (Y3 @ Y2))))) @ Y1) = (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (Y0 @ Y2 @ Y3)))) & (Y2 @ Y1))))))))))))),
% 3.22/0.87 inference(fool_elimination,[],[f4])).
% 3.22/0.87 thf(f4,plain,(
% 3.22/0.87 ~! [X0 : ($i > $o) > $i > $o] : ((! [X1 : $i > $o] : (! [X2] : ((X1 @ X2) => ? [X3 : $i > $o] : (! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2))) => ! [X5] : ((X0 @ X1 @ X5) => (X0 @ (^[X6 : $i] : (? [X7 : $i > $o] : ((X7 @ X6) & ! [X8] : ((X7 @ X8) => (X0 @ X7 @ X8))))) @ X5))) & (! [X9] : (? [X10 : $i > $o] : (! [X11] : ((X10 @ X11) => (X0 @ X10 @ X11)) & (X10 @ X9)) => (X0 @ (^[X12 : $i] : (? [X13 : $i > $o] : ((X13 @ X12) & ! [X14] : ((X13 @ X14) => (X0 @ X13 @ X14))))) @ X9)) => ! [X15] : ((X0 @ (^[X16 : $i] : (? [X17 : $i > $o] : ((X17 @ X16) & ! [X18] : ((X17 @ X18) => (X0 @ X17 @ X18))))) @ X15) => (X0 @ (X0 @ (^[X19 : $i] : (? [X20 : $i > $o] : ((X20 @ X19) & ! [X21] : ((X20 @ X21) => (X0 @ X20 @ X21)))))) @ X15)))) => ! [X22] : ((X0 @ (^[X23 : $i] : (? [X24 : $i > $o] : ((X24 @ X23) & ! [X25] : ((X24 @ X25) => (X0 @ X24 @ X25))))) @ X22) <=> ? [X26 : $i > $o] : ((X26 @ X22) & ! [X27] : ((X26 @ X27) => (X0 @ X26 @ X27)))))),
% 3.22/0.87 inference(rectify,[],[f2])).
% 3.22/0.87 thf(f2,negated_conjecture,(
% 3.22/0.87 ~! [X0 : ($i > $o) > $i > $o] : ((! [X1 : $i > $o] : (! [X2] : ((X1 @ X2) => ? [X3 : $i > $o] : (! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2))) => ! [X2] : ((X0 @ X1 @ X2) => (X0 @ (^[X4 : $i] : (? [X3 : $i > $o] : ((X3 @ X4) & ! [X5] : ((X3 @ X5) => (X0 @ X3 @ X5))))) @ X2))) & (! [X1] : (? [X3 : $i > $o] : (! [X2] : ((X3 @ X2) => (X0 @ X3 @ X2)) & (X3 @ X1)) => (X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : ((X3 @ X2) & ! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4))))) @ X1)) => ! [X1] : ((X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : ((X3 @ X2) & ! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4))))) @ X1) => (X0 @ (X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : ((X3 @ X2) & ! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)))))) @ X1)))) => ! [X1] : ((X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : ((X3 @ X2) & ! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4))))) @ X1) <=> ? [X3 : $i > $o] : ((X3 @ X1) & ! [X2] : ((X3 @ X2) => (X0 @ X3 @ X2)))))),
% 3.22/0.87 inference(negated_conjecture,[],[f1])).
% 3.22/0.87 thf(f1,conjecture,(
% 3.22/0.87 ! [X0 : ($i > $o) > $i > $o] : ((! [X1 : $i > $o] : (! [X2] : ((X1 @ X2) => ? [X3 : $i > $o] : (! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)) & (X3 @ X2))) => ! [X2] : ((X0 @ X1 @ X2) => (X0 @ (^[X4 : $i] : (? [X3 : $i > $o] : ((X3 @ X4) & ! [X5] : ((X3 @ X5) => (X0 @ X3 @ X5))))) @ X2))) & (! [X1] : (? [X3 : $i > $o] : (! [X2] : ((X3 @ X2) => (X0 @ X3 @ X2)) & (X3 @ X1)) => (X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : ((X3 @ X2) & ! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4))))) @ X1)) => ! [X1] : ((X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : ((X3 @ X2) & ! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4))))) @ X1) => (X0 @ (X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : ((X3 @ X2) & ! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4)))))) @ X1)))) => ! [X1] : ((X0 @ (^[X2 : $i] : (? [X3 : $i > $o] : ((X3 @ X2) & ! [X4] : ((X3 @ X4) => (X0 @ X3 @ X4))))) @ X1) <=> ? [X3 : $i > $o] : ((X3 @ X1) & ! [X2] : ((X3 @ X2) => (X0 @ X3 @ X2)))))),
% 3.22/0.87 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM2C_pme)).
% 3.22/0.87 thf(f118,plain,(
% 3.22/0.87 ($false = (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ sK6)) | ~spl0_5),
% 3.22/0.87 inference(binary_proxy_clausification,[],[f117])).
% 3.22/0.87 thf(f180,plain,(
% 3.22/0.87 ( ! [X1 : $i] : (($true = (sK2 @ sK7 @ X1)) | ($false = (sK7 @ X1))) ) | ~spl0_5),
% 3.22/0.87 inference(binary_proxy_clausification,[],[f177])).
% 3.22/0.87 thf(f177,plain,(
% 3.22/0.87 ( ! [X1 : $i] : (($true = ((sK7 @ X1) => (sK2 @ sK7 @ X1)))) ) | ~spl0_5),
% 3.22/0.87 inference(beta_eta_normalization,[],[f174])).
% 3.22/0.87 thf(f174,plain,(
% 3.22/0.87 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((sK7 @ Y0) => (sK2 @ sK7 @ Y0))) @ X1))) ) | ~spl0_5),
% 3.22/0.87 inference(pi_clausification,[],[f122])).
% 3.22/0.87 thf(f190,plain,(
% 3.22/0.87 ($true = (sK7 @ (sK5 @ sK7))) | ~spl0_5),
% 3.22/0.87 inference(trivial_inequality_removal,[],[f189])).
% 3.22/0.87 thf(f189,plain,(
% 3.22/0.87 ($true = $false) | ($true = (sK7 @ (sK5 @ sK7))) | ~spl0_5),
% 3.22/0.87 inference(forward_demodulation,[],[f188,f123])).
% 3.22/0.87 thf(f188,plain,(
% 3.22/0.87 ((sK7 @ sK6) = $false) | ($true = (sK7 @ (sK5 @ sK7))) | ~spl0_5),
% 3.22/0.87 inference(trivial_inequality_removal,[],[f182])).
% 3.22/0.87 thf(f182,plain,(
% 3.22/0.87 ((sK7 @ sK6) = $false) | ($true = $false) | ($true = (sK7 @ (sK5 @ sK7))) | ~spl0_5),
% 3.22/0.87 inference(superposition,[],[f180,f139])).
% 3.22/0.87 thf(f139,plain,(
% 3.22/0.87 ( ! [X0 : $i > $o] : (($false = (sK2 @ X0 @ sK6)) | ($true = (X0 @ (sK5 @ X0)))) ) | ~spl0_5),
% 3.22/0.87 inference(trivial_inequality_removal,[],[f133])).
% 3.22/0.87 thf(f133,plain,(
% 3.22/0.87 ( ! [X0 : $i > $o] : (($false = (sK2 @ X0 @ sK6)) | ($true = (X0 @ (sK5 @ X0))) | ($true = $false)) ) | ~spl0_5),
% 3.22/0.87 inference(superposition,[],[f54,f118])).
% 3.22/0.87 thf(f54,plain,(
% 3.22/0.87 ( ! [X2 : $i,X1 : $i > $o] : (($true = (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ X2)) | ($false = (sK2 @ X1 @ X2)) | ($true = (X1 @ (sK5 @ X1)))) )),
% 3.22/0.87 inference(binary_proxy_clausification,[],[f52])).
% 3.22/0.87 thf(f95,plain,(
% 3.22/0.87 spl0_5 | spl0_6),
% 3.22/0.87 inference(avatar_split_clause,[],[f14,f92,f88])).
% 3.22/0.87 thf(f14,plain,(
% 3.22/0.87 ($true = (!! @ $i @ (^[Y0 : $i]: ((sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0) => (sK2 @ (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1)))))) @ Y0))))) | ($false = (!! @ $i @ (^[Y0 : $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2))))))) => (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0)))))),
% 3.22/0.87 inference(binary_proxy_clausification,[],[f13])).
% 3.22/0.87 thf(f13,plain,(
% 3.22/0.87 ($true = ((!! @ $i @ (^[Y0 : $i]: ((?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((Y1 @ Y0) & (!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2))))))) => (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0)))) => (!! @ $i @ (^[Y0 : $i]: ((sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0) => (sK2 @ (sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1)))))) @ Y0))))))),
% 3.22/0.87 inference(binary_proxy_clausification,[],[f11])).
% 3.22/0.87 thf(f37,plain,(
% 3.22/0.87 spl0_3 | spl0_4),
% 3.22/0.87 inference(avatar_split_clause,[],[f19,f34,f30])).
% 3.22/0.87 thf(f19,plain,(
% 3.22/0.87 ($false = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1)))) & (Y0 @ sK3))))) | ($false = (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ sK3))),
% 3.22/0.87 inference(binary_proxy_clausification,[],[f17])).
% 3.22/0.87 thf(f17,plain,(
% 3.22/0.87 ((sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ sK3) != (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1)))) & (Y0 @ sK3)))))),
% 3.22/0.87 inference(binary_proxy_clausification,[],[f16])).
% 3.22/0.87 thf(f16,plain,(
% 3.22/0.87 ($false = ((sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ sK3) = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1)))) & (Y0 @ sK3))))))),
% 3.22/0.87 inference(beta_eta_normalization,[],[f15])).
% 3.22/0.87 thf(f15,plain,(
% 3.22/0.87 ($false = ((^[Y0 : $i]: ((sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0) = (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0)))))) @ sK3))),
% 3.22/0.87 inference(sigma_clausification,[],[f10])).
% 3.22/0.87 thf(f10,plain,(
% 3.22/0.87 ($false = (!! @ $i @ (^[Y0 : $i]: ((sK2 @ (^[Y1 : $i]: (?? @ ($i > $o) @ (^[Y2 : $i > $o]: ((!! @ $i @ (^[Y3 : $i]: ((Y2 @ Y3) => (sK2 @ Y2 @ Y3)))) & (Y2 @ Y1))))) @ Y0) = (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))))))),
% 3.22/0.87 inference(binary_proxy_clausification,[],[f9])).
% 3.22/0.87 thf(f28,plain,(
% 3.22/0.87 spl0_1 | spl0_2),
% 3.22/0.87 inference(avatar_split_clause,[],[f18,f25,f21])).
% 3.22/0.87 thf(f18,plain,(
% 3.22/0.87 ($true = (sK2 @ (^[Y0 : $i]: (?? @ ($i > $o) @ (^[Y1 : $i > $o]: ((!! @ $i @ (^[Y2 : $i]: ((Y1 @ Y2) => (sK2 @ Y1 @ Y2)))) & (Y1 @ Y0))))) @ sK3)) | ($true = (?? @ ($i > $o) @ (^[Y0 : $i > $o]: ((!! @ $i @ (^[Y1 : $i]: ((Y0 @ Y1) => (sK2 @ Y0 @ Y1)))) & (Y0 @ sK3)))))),
% 3.22/0.87 inference(binary_proxy_clausification,[],[f17])).
% 3.22/0.87 % SZS output end Proof for theBenchmark
% 3.22/0.87 % (13124)------------------------------
% 3.22/0.87 % (13124)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 3.22/0.87 % (13124)Termination reason: Refutation
% 3.22/0.87
% 3.22/0.87 % (13124)Memory used [KB]: 5884
% 3.22/0.87 % (13124)Time elapsed: 0.061 s
% 3.22/0.87 % (13124)Instructions burned: 109 (million)
% 3.22/0.87 % (13124)------------------------------
% 3.22/0.87 % (13124)------------------------------
% 3.22/0.87 % (13066)Success in time 0.512 s
%------------------------------------------------------------------------------