TSTP Solution File: NUM658^4 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : NUM658^4 : TPTP v8.2.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n026.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 13:16:22 EDT 2024
% Result : Theorem 2.02s 0.67s
% Output : Refutation 2.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : NUM658^4 : TPTP v8.2.0. Released v7.1.0.
% 0.09/0.11 % Command : run_vampire %s %d THM
% 0.11/0.32 % Computer : n026.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.17/0.32 % WCLimit : 300
% 0.17/0.32 % DateTime : Sat Jun 22 20:10:24 EDT 2024
% 0.17/0.33 % CPUTime :
% 0.17/0.34 This is a TH0_THM_EQU_NAR problem
% 0.17/0.34 Running higher-order theorem proving
% 0.17/0.34 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
% 0.17/0.37 % (29531)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)
% 0.17/0.37 % (29527)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)
% 0.17/0.37 % (29528)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)
% 0.17/0.37 % (29529)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.17/0.37 % (29532)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.17/0.37 % (29530)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)
% 0.17/0.37 % (29526)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 % (29529)Instruction limit reached!
% 0.17/0.37 % (29529)------------------------------
% 0.17/0.37 % (29529)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.37 % (29529)Termination reason: Unknown
% 0.17/0.37 % (29529)Termination phase: shuffling
% 0.17/0.37
% 0.17/0.37 % (29529)Memory used [KB]: 1279
% 0.17/0.37 % (29529)Time elapsed: 0.003 s
% 0.17/0.37 % (29529)Instructions burned: 2 (million)
% 0.17/0.37 % (29529)------------------------------
% 0.17/0.37 % (29529)------------------------------
% 0.17/0.37 % (29527)Instruction limit reached!
% 0.17/0.37 % (29527)------------------------------
% 0.17/0.37 % (29527)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.37 % (29527)Termination reason: Unknown
% 0.17/0.37 % (29527)Termination phase: shuffling
% 0.17/0.37
% 0.17/0.37 % (29527)Memory used [KB]: 1279
% 0.17/0.37 % (29527)Time elapsed: 0.004 s
% 0.17/0.37 % (29527)Instructions burned: 4 (million)
% 0.17/0.37 % (29527)------------------------------
% 0.17/0.37 % (29527)------------------------------
% 0.17/0.37 % (29530)Instruction limit reached!
% 0.17/0.37 % (29530)------------------------------
% 0.17/0.37 % (29530)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.37 % (29530)Termination reason: Unknown
% 0.17/0.37 % (29530)Termination phase: shuffling
% 0.17/0.37
% 0.17/0.37 % (29530)Memory used [KB]: 1279
% 0.17/0.37 % (29530)Time elapsed: 0.003 s
% 0.17/0.37 % (29530)Instructions burned: 4 (million)
% 0.17/0.37 % (29530)------------------------------
% 0.17/0.37 % (29530)------------------------------
% 0.17/0.38 % (29532)Instruction limit reached!
% 0.17/0.38 % (29532)------------------------------
% 0.17/0.38 % (29532)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.38 % (29532)Termination reason: Unknown
% 0.17/0.38 % (29532)Termination phase: shuffling
% 0.17/0.38
% 0.17/0.38 % (29532)Memory used [KB]: 1535
% 0.17/0.38 % (29532)Time elapsed: 0.010 s
% 0.17/0.38 % (29532)Instructions burned: 18 (million)
% 0.17/0.38 % (29532)------------------------------
% 0.17/0.38 % (29532)------------------------------
% 0.17/0.38 % (29528)Instruction limit reached!
% 0.17/0.38 % (29528)------------------------------
% 0.17/0.38 % (29528)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.38 % (29528)Termination reason: Unknown
% 0.17/0.38 % (29528)Termination phase: Property scanning
% 0.17/0.38
% 0.17/0.38 % (29528)Memory used [KB]: 1535
% 0.17/0.38 % (29528)Time elapsed: 0.014 s
% 0.17/0.38 % (29528)Instructions burned: 27 (million)
% 0.17/0.38 % (29528)------------------------------
% 0.17/0.38 % (29528)------------------------------
% 0.17/0.39 % (29533)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)
% 0.17/0.39 % (29534)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)
% 0.17/0.39 % (29535)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)
% 0.17/0.39 % (29533)Instruction limit reached!
% 0.17/0.39 % (29533)------------------------------
% 0.17/0.39 % (29533)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.39 % (29533)Termination reason: Unknown
% 0.17/0.39 % (29533)Termination phase: shuffling
% 0.17/0.39
% 0.17/0.39 % (29533)Memory used [KB]: 1279
% 0.17/0.39 % (29533)Time elapsed: 0.004 s
% 0.17/0.39 % (29533)Instructions burned: 5 (million)
% 0.17/0.39 % (29533)------------------------------
% 0.17/0.39 % (29533)------------------------------
% 0.17/0.39 % (29531)Refutation not found, incomplete strategy
% 0.17/0.39 % (29531)------------------------------
% 0.17/0.39 % (29531)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.39 % (29531)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.39
% 0.17/0.39
% 0.17/0.39 % (29531)Memory used [KB]: 6140
% 0.17/0.39 % (29531)Time elapsed: 0.019 s
% 0.17/0.39 % (29531)Instructions burned: 37 (million)
% 0.17/0.39 % (29531)------------------------------
% 0.17/0.39 % (29531)------------------------------
% 0.17/0.39 % (29536)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)
% 0.17/0.39 % (29535)Instruction limit reached!
% 0.17/0.39 % (29535)------------------------------
% 0.17/0.39 % (29535)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.39 % (29535)Termination reason: Unknown
% 0.17/0.39 % (29535)Termination phase: shuffling
% 0.17/0.39
% 0.17/0.39 % (29535)Memory used [KB]: 1535
% 0.17/0.39 % (29535)Time elapsed: 0.009 s
% 0.17/0.39 % (29535)Instructions burned: 15 (million)
% 0.17/0.39 % (29535)------------------------------
% 0.17/0.39 % (29535)------------------------------
% 0.17/0.39 % (29536)Instruction limit reached!
% 0.17/0.39 % (29536)------------------------------
% 0.17/0.39 % (29536)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.39 % (29536)Termination reason: Unknown
% 0.17/0.39 % (29536)Termination phase: shuffling
% 0.17/0.39
% 0.17/0.39 % (29536)Memory used [KB]: 1279
% 0.17/0.39 % (29536)Time elapsed: 0.003 s
% 0.17/0.39 % (29536)Instructions burned: 3 (million)
% 0.17/0.39 % (29536)------------------------------
% 0.17/0.39 % (29536)------------------------------
% 0.17/0.40 % (29537)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)
% 0.17/0.40 % (29538)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.40 % (29534)Instruction limit reached!
% 0.17/0.40 % (29534)------------------------------
% 0.17/0.40 % (29534)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.40 % (29534)Termination reason: Unknown
% 0.17/0.40 % (29534)Termination phase: Property scanning
% 0.17/0.40
% 0.17/0.40 % (29534)Memory used [KB]: 1663
% 0.17/0.40 % (29534)Time elapsed: 0.017 s
% 0.17/0.40 % (29534)Instructions burned: 37 (million)
% 0.17/0.40 % (29534)------------------------------
% 0.17/0.40 % (29534)------------------------------
% 0.17/0.40 % (29539)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.17/0.40 % (29538)Instruction limit reached!
% 0.17/0.40 % (29538)------------------------------
% 0.17/0.40 % (29538)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.17/0.40 % (29538)Termination reason: Unknown
% 0.17/0.40 % (29538)Termination phase: shuffling
% 0.17/0.40
% 0.17/0.40 % (29538)Memory used [KB]: 1407
% 0.17/0.40 % (29538)Time elapsed: 0.005 s
% 0.17/0.40 % (29538)Instructions burned: 7 (million)
% 0.17/0.40 % (29538)------------------------------
% 0.17/0.40 % (29538)------------------------------
% 0.19/0.41 % (29541)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)
% 0.19/0.41 % (29540)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)
% 0.19/0.41 % (29541)Instruction limit reached!
% 0.19/0.41 % (29541)------------------------------
% 0.19/0.41 % (29541)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.41 % (29541)Termination reason: Unknown
% 0.19/0.41 % (29541)Termination phase: shuffling
% 0.19/0.41
% 0.19/0.41 % (29541)Memory used [KB]: 1279
% 0.19/0.41 % (29541)Time elapsed: 0.003 s
% 0.19/0.41 % (29541)Instructions burned: 3 (million)
% 0.19/0.41 % (29541)------------------------------
% 0.19/0.41 % (29541)------------------------------
% 0.19/0.41 % (29540)Instruction limit reached!
% 0.19/0.41 % (29540)------------------------------
% 0.19/0.41 % (29540)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.41 % (29540)Termination reason: Unknown
% 0.19/0.41 % (29540)Termination phase: shuffling
% 0.19/0.41
% 0.19/0.41 % (29540)Memory used [KB]: 1279
% 0.19/0.41 % (29540)Time elapsed: 0.003 s
% 0.19/0.41 % (29540)Instructions burned: 3 (million)
% 0.19/0.41 % (29540)------------------------------
% 0.19/0.41 % (29540)------------------------------
% 0.19/0.41 % (29539)Instruction limit reached!
% 0.19/0.41 % (29539)------------------------------
% 0.19/0.41 % (29539)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.41 % (29539)Termination reason: Unknown
% 0.19/0.41 % (29539)Termination phase: shuffling
% 0.19/0.41
% 0.19/0.41 % (29539)Memory used [KB]: 1535
% 0.19/0.41 % (29539)Time elapsed: 0.009 s
% 0.19/0.41 % (29539)Instructions burned: 16 (million)
% 0.19/0.41 % (29539)------------------------------
% 0.19/0.41 % (29539)------------------------------
% 0.19/0.42 % (29542)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)
% 0.19/0.42 % (29543)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)
% 0.19/0.42 % (29542)Instruction limit reached!
% 0.19/0.42 % (29542)------------------------------
% 0.19/0.42 % (29542)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.42 % (29542)Termination reason: Unknown
% 0.19/0.42 % (29542)Termination phase: shuffling
% 0.19/0.42
% 0.19/0.42 % (29542)Memory used [KB]: 1407
% 0.19/0.42 % (29542)Time elapsed: 0.006 s
% 0.19/0.42 % (29542)Instructions burned: 9 (million)
% 0.19/0.42 % (29542)------------------------------
% 0.19/0.42 % (29542)------------------------------
% 0.19/0.42 % (29543)Instruction limit reached!
% 0.19/0.42 % (29543)------------------------------
% 0.19/0.42 % (29543)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.42 % (29543)Termination reason: Unknown
% 0.19/0.42 % (29543)Termination phase: shuffling
% 0.19/0.42
% 0.19/0.42 % (29543)Memory used [KB]: 1279
% 0.19/0.42 % (29543)Time elapsed: 0.004 s
% 0.19/0.42 % (29543)Instructions burned: 5 (million)
% 0.19/0.42 % (29543)------------------------------
% 0.19/0.42 % (29543)------------------------------
% 0.19/0.42 % (29544)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.42 % (29546)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.19/0.42 % (29545)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)
% 0.19/0.42 % (29544)Instruction limit reached!
% 0.19/0.42 % (29544)------------------------------
% 0.19/0.42 % (29544)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.42 % (29544)Termination reason: Unknown
% 0.19/0.42 % (29544)Termination phase: shuffling
% 0.19/0.42
% 0.19/0.42 % (29544)Memory used [KB]: 1279
% 0.19/0.42 % (29544)Time elapsed: 0.004 s
% 0.19/0.42 % (29544)Instructions burned: 5 (million)
% 0.19/0.42 % (29544)------------------------------
% 0.19/0.42 % (29544)------------------------------
% 0.19/0.43 % (29545)Instruction limit reached!
% 0.19/0.43 % (29545)------------------------------
% 0.19/0.43 % (29545)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.43 % (29545)Termination reason: Unknown
% 0.19/0.43 % (29545)Termination phase: shuffling
% 0.19/0.43
% 0.19/0.43 % (29545)Memory used [KB]: 1535
% 0.19/0.43 % (29545)Time elapsed: 0.011 s
% 0.19/0.43 % (29545)Instructions burned: 19 (million)
% 0.19/0.43 % (29545)------------------------------
% 0.19/0.43 % (29545)------------------------------
% 0.19/0.43 % (29547)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.43 % (29548)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)
% 0.19/0.43 % (29526)Instruction limit reached!
% 0.19/0.43 % (29526)------------------------------
% 0.19/0.43 % (29526)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.43 % (29526)Termination reason: Unknown
% 0.19/0.43 % (29526)Termination phase: Function definition elimination
% 0.19/0.43
% 0.19/0.43 % (29526)Memory used [KB]: 1918
% 0.19/0.43 % (29526)Time elapsed: 0.064 s
% 0.19/0.43 % (29526)Instructions burned: 185 (million)
% 0.19/0.43 % (29526)------------------------------
% 0.19/0.43 % (29526)------------------------------
% 0.19/0.44 % (29547)Instruction limit reached!
% 0.19/0.44 % (29547)------------------------------
% 0.19/0.44 % (29547)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.44 % (29547)Termination reason: Unknown
% 0.19/0.44 % (29547)Termination phase: shuffling
% 0.19/0.44
% 0.19/0.44 % (29547)Memory used [KB]: 1407
% 0.19/0.44 % (29547)Time elapsed: 0.005 s
% 0.19/0.44 % (29547)Instructions burned: 7 (million)
% 0.19/0.44 % (29547)------------------------------
% 0.19/0.44 % (29547)------------------------------
% 0.19/0.44 % (29549)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)
% 0.19/0.45 % (29550)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.45 % (29549)Instruction limit reached!
% 0.19/0.45 % (29549)------------------------------
% 0.19/0.45 % (29549)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.45 % (29549)Termination reason: Unknown
% 0.19/0.45 % (29549)Termination phase: shuffling
% 0.19/0.45
% 0.19/0.45 % (29549)Memory used [KB]: 1535
% 0.19/0.45 % (29549)Time elapsed: 0.011 s
% 0.19/0.45 % (29549)Instructions burned: 21 (million)
% 0.19/0.45 % (29549)------------------------------
% 0.19/0.45 % (29549)------------------------------
% 0.19/0.45 % (29550)Instruction limit reached!
% 0.19/0.45 % (29550)------------------------------
% 0.19/0.45 % (29550)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.45 % (29550)Termination reason: Unknown
% 0.19/0.45 % (29550)Termination phase: shuffling
% 0.19/0.45
% 0.19/0.45 % (29550)Memory used [KB]: 1279
% 0.19/0.45 % (29550)Time elapsed: 0.004 s
% 0.19/0.45 % (29550)Instructions burned: 5 (million)
% 0.19/0.45 % (29550)------------------------------
% 0.19/0.45 % (29550)------------------------------
% 0.19/0.45 % (29552)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.19/0.45 % (29551)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)
% 0.19/0.45 % (29551)Instruction limit reached!
% 0.19/0.45 % (29551)------------------------------
% 0.19/0.45 % (29551)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.45 % (29551)Termination reason: Unknown
% 0.19/0.45 % (29551)Termination phase: shuffling
% 0.19/0.45
% 0.19/0.45 % (29551)Memory used [KB]: 1407
% 0.19/0.45 % (29551)Time elapsed: 0.005 s
% 0.19/0.45 % (29551)Instructions burned: 6 (million)
% 0.19/0.45 % (29551)------------------------------
% 0.19/0.45 % (29551)------------------------------
% 0.19/0.46 % (29553)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)
% 0.19/0.46 % (29554)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.19/0.47 % (29548)Refutation not found, incomplete strategy
% 0.19/0.47 % (29548)------------------------------
% 0.19/0.47 % (29548)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.47 % (29548)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 % (29548)Memory used [KB]: 6396
% 0.19/0.47 % (29548)Time elapsed: 0.034 s
% 0.19/0.47 % (29548)Instructions burned: 71 (million)
% 0.19/0.47 % (29548)------------------------------
% 0.19/0.47 % (29548)------------------------------
% 0.19/0.47 % (29555)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.19/0.47 % (29554)Instruction limit reached!
% 0.19/0.47 % (29554)------------------------------
% 0.19/0.47 % (29554)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.47 % (29554)Termination reason: Unknown
% 0.19/0.47 % (29554)Termination phase: shuffling
% 0.19/0.47
% 0.19/0.47 % (29554)Memory used [KB]: 1663
% 0.19/0.47 % (29554)Time elapsed: 0.011 s
% 0.19/0.47 % (29554)Instructions burned: 20 (million)
% 0.19/0.47 % (29554)------------------------------
% 0.19/0.47 % (29554)------------------------------
% 0.19/0.48 % (29556)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.19/0.48 % (29557)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 0.19/0.49 % (29557)Instruction limit reached!
% 0.19/0.49 % (29557)------------------------------
% 0.19/0.49 % (29557)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.49 % (29557)Termination reason: Unknown
% 0.19/0.49 % (29557)Termination phase: shuffling
% 0.19/0.49
% 0.19/0.49 % (29557)Memory used [KB]: 1279
% 0.19/0.49 % (29557)Time elapsed: 0.004 s
% 0.19/0.49 % (29557)Instructions burned: 4 (million)
% 0.19/0.49 % (29557)------------------------------
% 0.19/0.49 % (29557)------------------------------
% 0.19/0.49 % (29556)Instruction limit reached!
% 0.19/0.49 % (29556)------------------------------
% 0.19/0.49 % (29556)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.49 % (29556)Termination reason: Unknown
% 0.19/0.49 % (29556)Termination phase: shuffling
% 0.19/0.49
% 0.19/0.49 % (29556)Memory used [KB]: 1535
% 0.19/0.49 % (29556)Time elapsed: 0.010 s
% 0.19/0.49 % (29556)Instructions burned: 18 (million)
% 0.19/0.49 % (29556)------------------------------
% 0.19/0.49 % (29556)------------------------------
% 0.19/0.50 % (29558)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 0.19/0.50 % (29559)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)
% 0.19/0.51 % (29558)Instruction limit reached!
% 0.19/0.51 % (29558)------------------------------
% 0.19/0.51 % (29558)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.51 % (29558)Termination reason: Unknown
% 0.19/0.51 % (29558)Termination phase: Property scanning
% 0.19/0.51
% 0.19/0.51 % (29558)Memory used [KB]: 1535
% 0.19/0.51 % (29558)Time elapsed: 0.016 s
% 0.19/0.51 % (29558)Instructions burned: 31 (million)
% 0.19/0.51 % (29558)------------------------------
% 0.19/0.51 % (29558)------------------------------
% 0.19/0.53 % (29560)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)
% 0.19/0.54 % (29559)Instruction limit reached!
% 0.19/0.54 % (29559)------------------------------
% 0.19/0.54 % (29559)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.54 % (29559)Termination reason: Unknown
% 0.19/0.54 % (29559)Termination phase: Function definition elimination
% 0.19/0.54
% 0.19/0.54 % (29559)Memory used [KB]: 1791
% 0.19/0.54 % (29559)Time elapsed: 0.045 s
% 0.19/0.54 % (29559)Instructions burned: 129 (million)
% 0.19/0.54 % (29559)------------------------------
% 0.19/0.54 % (29559)------------------------------
% 0.19/0.56 % (29561)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 (2997ds/3Mi)
% 0.19/0.56 % (29561)Instruction limit reached!
% 0.19/0.56 % (29561)------------------------------
% 0.19/0.56 % (29561)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.56 % (29561)Termination reason: Unknown
% 0.19/0.56 % (29561)Termination phase: shuffling
% 0.19/0.56
% 0.19/0.56 % (29561)Memory used [KB]: 1279
% 0.19/0.56 % (29561)Time elapsed: 0.004 s
% 0.19/0.56 % (29561)Instructions burned: 4 (million)
% 0.19/0.56 % (29561)------------------------------
% 0.19/0.56 % (29561)------------------------------
% 0.19/0.56 % (29560)Instruction limit reached!
% 0.19/0.56 % (29560)------------------------------
% 0.19/0.56 % (29560)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.56 % (29560)Termination reason: Unknown
% 0.19/0.56 % (29560)Termination phase: Function definition elimination
% 0.19/0.56
% 0.19/0.56 % (29560)Memory used [KB]: 1918
% 0.19/0.56 % (29560)Time elapsed: 0.038 s
% 0.19/0.56 % (29560)Instructions burned: 102 (million)
% 0.19/0.56 % (29560)------------------------------
% 0.19/0.56 % (29560)------------------------------
% 0.19/0.56 % (29552)Instruction limit reached!
% 0.19/0.56 % (29552)------------------------------
% 0.19/0.56 % (29552)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.56 % (29552)Termination reason: Unknown
% 0.19/0.56 % (29552)Termination phase: Property scanning
% 0.19/0.56
% 0.19/0.56 % (29552)Memory used [KB]: 1918
% 0.19/0.56 % (29552)Time elapsed: 0.118 s
% 0.19/0.56 % (29552)Instructions burned: 377 (million)
% 0.19/0.56 % (29552)------------------------------
% 0.19/0.56 % (29552)------------------------------
% 0.19/0.57 % (29562)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 (2997ds/20Mi)
% 0.19/0.58 % (29563)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)
% 0.19/0.58 % (29564)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)
% 0.19/0.58 % (29562)Instruction limit reached!
% 0.19/0.58 % (29562)------------------------------
% 0.19/0.58 % (29562)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.19/0.58 % (29562)Termination reason: Unknown
% 0.19/0.58 % (29562)Termination phase: Property scanning
% 0.19/0.58
% 0.19/0.58 % (29562)Memory used [KB]: 1535
% 0.19/0.58 % (29562)Time elapsed: 0.012 s
% 0.19/0.58 % (29562)Instructions burned: 21 (million)
% 0.19/0.58 % (29562)------------------------------
% 0.19/0.58 % (29562)------------------------------
% 1.70/0.60 % (29565)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)
% 1.82/0.61 % (29563)Instruction limit reached!
% 1.82/0.61 % (29563)------------------------------
% 1.82/0.61 % (29563)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.82/0.61 % (29563)Termination reason: Unknown
% 1.82/0.61 % (29563)Termination phase: Function definition elimination
% 1.82/0.61
% 1.82/0.61 % (29563)Memory used [KB]: 1791
% 1.82/0.61 % (29563)Time elapsed: 0.034 s
% 1.82/0.61 % (29563)Instructions burned: 87 (million)
% 1.82/0.61 % (29563)------------------------------
% 1.82/0.61 % (29563)------------------------------
% 1.82/0.61 % (29565)Instruction limit reached!
% 1.82/0.61 % (29565)------------------------------
% 1.82/0.61 % (29565)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.82/0.61 % (29565)Termination reason: Unknown
% 1.82/0.61 % (29565)Termination phase: Property scanning
% 1.82/0.61
% 1.82/0.61 % (29565)Memory used [KB]: 1663
% 1.82/0.61 % (29565)Time elapsed: 0.017 s
% 1.82/0.61 % (29565)Instructions burned: 39 (million)
% 1.82/0.61 % (29565)------------------------------
% 1.82/0.61 % (29565)------------------------------
% 1.82/0.62 % (29566)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)
% 1.82/0.62 % (29567)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)
% 1.82/0.62 % (29564)Instruction limit reached!
% 1.82/0.62 % (29564)------------------------------
% 1.82/0.62 % (29564)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.82/0.62 % (29564)Termination reason: Unknown
% 1.82/0.62 % (29564)Termination phase: Saturation
% 1.82/0.62
% 1.82/0.62 % (29564)Memory used [KB]: 6524
% 1.82/0.62 % (29564)Time elapsed: 0.046 s
% 1.82/0.62 % (29564)Instructions burned: 107 (million)
% 1.82/0.62 % (29564)------------------------------
% 1.82/0.62 % (29564)------------------------------
% 2.02/0.64 % (29568)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)
% 2.02/0.64 % (29567)Instruction limit reached!
% 2.02/0.64 % (29567)------------------------------
% 2.02/0.64 % (29567)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.02/0.64 % (29567)Termination reason: Unknown
% 2.02/0.64 % (29567)Termination phase: Property scanning
% 2.02/0.64
% 2.02/0.64 % (29567)Memory used [KB]: 1663
% 2.02/0.64 % (29567)Time elapsed: 0.016 s
% 2.02/0.64 % (29567)Instructions burned: 49 (million)
% 2.02/0.64 % (29567)------------------------------
% 2.02/0.64 % (29567)------------------------------
% 2.02/0.65 % (29569)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)
% 2.02/0.67 % (29555)First to succeed.
% 2.02/0.67 % (29555)Refutation found. Thanks to Tanya!
% 2.02/0.67 % SZS status Theorem for theBenchmark
% 2.02/0.67 % SZS output start Proof for theBenchmark
% 2.02/0.67 thf(func_def_0, type, is_of: $i > ($i > $o) > $o).
% 2.02/0.67 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o).
% 2.02/0.67 thf(func_def_3, type, eps: ($i > $o) > $i).
% 2.02/0.67 thf(func_def_4, type, in: $i > $i > $o).
% 2.02/0.67 thf(func_def_5, type, d_Subq: $i > $i > $o).
% 2.02/0.67 thf(func_def_7, type, union: $i > $i).
% 2.02/0.67 thf(func_def_8, type, power: $i > $i).
% 2.02/0.67 thf(func_def_9, type, repl: $i > ($i > $i) > $i).
% 2.02/0.67 thf(func_def_10, type, d_Union_closed: $i > $o).
% 2.02/0.67 thf(func_def_11, type, d_Power_closed: $i > $o).
% 2.02/0.67 thf(func_def_12, type, d_Repl_closed: $i > $o).
% 2.02/0.67 thf(func_def_13, type, d_ZF_closed: $i > $o).
% 2.02/0.67 thf(func_def_14, type, univof: $i > $i).
% 2.02/0.67 thf(func_def_15, type, if: $o > $i > $i > $i).
% 2.02/0.67 thf(func_def_16, type, nIn: $i > $i > $o).
% 2.02/0.67 thf(func_def_17, type, d_UPair: $i > $i > $i).
% 2.02/0.67 thf(func_def_18, type, d_Sing: $i > $i).
% 2.02/0.67 thf(func_def_19, type, binunion: $i > $i > $i).
% 2.02/0.67 thf(func_def_20, type, famunion: $i > ($i > $i) > $i).
% 2.02/0.67 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i).
% 2.02/0.67 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 2.02/0.67 thf(func_def_23, type, setminus: $i > $i > $i).
% 2.02/0.67 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
% 2.02/0.67 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
% 2.02/0.67 thf(func_def_26, type, ordsucc: $i > $i).
% 2.02/0.67 thf(func_def_27, type, nat_p: $i > $o).
% 2.02/0.67 thf(func_def_29, type, d_Inj1: $i > $i).
% 2.02/0.67 thf(func_def_30, type, d_Inj0: $i > $i).
% 2.02/0.67 thf(func_def_31, type, d_Unj: $i > $i).
% 2.02/0.67 thf(func_def_32, type, pair: $i > $i > $i).
% 2.02/0.67 thf(func_def_33, type, proj0: $i > $i).
% 2.02/0.67 thf(func_def_34, type, proj1: $i > $i).
% 2.02/0.67 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i).
% 2.02/0.67 thf(func_def_36, type, setprod: $i > $i > $i).
% 2.02/0.67 thf(func_def_37, type, ap: $i > $i > $i).
% 2.02/0.67 thf(func_def_38, type, pair_p: $i > $o).
% 2.02/0.67 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i).
% 2.02/0.67 thf(func_def_40, type, imp: $o > $o > $o).
% 2.02/0.67 thf(func_def_41, type, d_not: $o > $o).
% 2.02/0.67 thf(func_def_42, type, wel: $o > $o).
% 2.02/0.67 thf(func_def_44, type, l_ec: $o > $o > $o).
% 2.02/0.67 thf(func_def_45, type, d_and: $o > $o > $o).
% 2.02/0.67 thf(func_def_46, type, l_or: $o > $o > $o).
% 2.02/0.67 thf(func_def_47, type, orec: $o > $o > $o).
% 2.02/0.67 thf(func_def_48, type, l_iff: $o > $o > $o).
% 2.02/0.67 thf(func_def_49, type, all: $i > ($i > $o) > $o).
% 2.02/0.67 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o).
% 2.02/0.67 thf(func_def_51, type, l_some: $i > ($i > $o) > $o).
% 2.02/0.67 thf(func_def_52, type, or3: $o > $o > $o > $o).
% 2.02/0.67 thf(func_def_53, type, and3: $o > $o > $o > $o).
% 2.02/0.67 thf(func_def_54, type, ec3: $o > $o > $o > $o).
% 2.02/0.67 thf(func_def_55, type, orec3: $o > $o > $o > $o).
% 2.02/0.67 thf(func_def_56, type, e_is: $i > $i > $i > $o).
% 2.02/0.67 thf(func_def_57, type, amone: $i > ($i > $o) > $o).
% 2.02/0.67 thf(func_def_58, type, one: $i > ($i > $o) > $o).
% 2.02/0.67 thf(func_def_59, type, ind: $i > ($i > $o) > $i).
% 2.02/0.67 thf(func_def_60, type, injective: $i > $i > $i > $o).
% 2.02/0.67 thf(func_def_61, type, image: $i > $i > $i > $i > $o).
% 2.02/0.67 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i).
% 2.02/0.67 thf(func_def_63, type, soft: $i > $i > $i > $i > $i).
% 2.02/0.67 thf(func_def_64, type, inverse: $i > $i > $i > $i).
% 2.02/0.67 thf(func_def_65, type, surjective: $i > $i > $i > $o).
% 2.02/0.67 thf(func_def_66, type, bijective: $i > $i > $i > $o).
% 2.02/0.67 thf(func_def_67, type, invf: $i > $i > $i > $i).
% 2.02/0.67 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i).
% 2.02/0.67 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i).
% 2.02/0.67 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i).
% 2.02/0.67 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i).
% 2.02/0.67 thf(func_def_72, type, first: $i > $i > $i > $i).
% 2.02/0.67 thf(func_def_73, type, second: $i > $i > $i > $i).
% 2.02/0.67 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o).
% 2.02/0.67 thf(func_def_75, type, ite: $o > $i > $i > $i > $i).
% 2.02/0.67 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i).
% 2.02/0.67 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i).
% 2.02/0.67 thf(func_def_78, type, wissel: $i > $i > $i > $i).
% 2.02/0.67 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i).
% 2.02/0.67 thf(func_def_80, type, r_ec: $o > $o > $o).
% 2.02/0.67 thf(func_def_81, type, esti: $i > $i > $i > $o).
% 2.02/0.67 thf(func_def_82, type, empty: $i > $i > $o).
% 2.02/0.67 thf(func_def_83, type, nonempty: $i > $i > $o).
% 2.02/0.67 thf(func_def_84, type, incl: $i > $i > $i > $o).
% 2.02/0.67 thf(func_def_85, type, st_disj: $i > $i > $i > $o).
% 2.02/0.67 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o).
% 2.02/0.67 thf(func_def_87, type, unmore: $i > $i > $i > $i).
% 2.02/0.67 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i).
% 2.02/0.67 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
% 2.02/0.67 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o).
% 2.02/0.67 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i).
% 2.02/0.67 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i).
% 2.02/0.67 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i).
% 2.02/0.67 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i).
% 2.02/0.67 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
% 2.02/0.67 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
% 2.02/0.67 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
% 2.02/0.67 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 2.02/0.67 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
% 2.02/0.67 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 2.02/0.67 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
% 2.02/0.67 thf(func_def_103, type, n_is: $i > $i > $o).
% 2.02/0.67 thf(func_def_104, type, nis: $i > $i > $o).
% 2.02/0.67 thf(func_def_105, type, n_in: $i > $i > $o).
% 2.02/0.67 thf(func_def_106, type, n_some: ($i > $o) > $o).
% 2.02/0.67 thf(func_def_107, type, n_all: ($i > $o) > $o).
% 2.02/0.67 thf(func_def_108, type, n_one: ($i > $o) > $o).
% 2.02/0.67 thf(func_def_110, type, cond1: $i > $o).
% 2.02/0.67 thf(func_def_111, type, cond2: $i > $o).
% 2.02/0.67 thf(func_def_112, type, i1_s: ($i > $o) > $i).
% 2.02/0.67 thf(func_def_113, type, d_22_prop1: $i > $o).
% 2.02/0.67 thf(func_def_114, type, d_23_prop1: $i > $o).
% 2.02/0.67 thf(func_def_115, type, d_24_prop1: $i > $o).
% 2.02/0.67 thf(func_def_116, type, d_24_prop2: $i > $i > $o).
% 2.02/0.67 thf(func_def_117, type, prop3: $i > $i > $i > $o).
% 2.02/0.67 thf(func_def_118, type, prop4: $i > $o).
% 2.02/0.67 thf(func_def_119, type, d_24_g: $i > $i).
% 2.02/0.67 thf(func_def_120, type, plus: $i > $i).
% 2.02/0.67 thf(func_def_121, type, n_pl: $i > $i > $i).
% 2.02/0.67 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o).
% 2.02/0.67 thf(func_def_123, type, d_26_prop1: $i > $i > $o).
% 2.02/0.67 thf(func_def_124, type, d_27_prop1: $i > $i > $o).
% 2.02/0.67 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o).
% 2.02/0.67 thf(func_def_126, type, diffprop: $i > $i > $i > $o).
% 2.02/0.67 thf(func_def_127, type, d_29_ii: $i > $i > $o).
% 2.02/0.67 thf(func_def_128, type, iii: $i > $i > $o).
% 2.02/0.67 thf(func_def_129, type, d_29_prop1: $i > $i > $o).
% 2.02/0.67 thf(func_def_130, type, moreis: $i > $i > $o).
% 2.02/0.67 thf(func_def_131, type, lessis: $i > $i > $o).
% 2.02/0.67 thf(func_def_150, type, sK0: ($i > $o) > $i).
% 2.02/0.67 thf(func_def_152, type, sK2: $i > $i > $i > $i > $i).
% 2.02/0.67 thf(func_def_155, type, ph5: !>[X0: $tType]:(X0)).
% 2.02/0.67 thf(f2329,plain,(
% 2.02/0.67 $false),
% 2.02/0.67 inference(trivial_inequality_removal,[],[f2328])).
% 2.02/0.67 thf(f2328,plain,(
% 2.02/0.67 ($true = $false)),
% 2.02/0.67 inference(forward_demodulation,[],[f2327,f708])).
% 2.02/0.67 thf(f708,plain,(
% 2.02/0.67 ((n_is @ sK3 @ sK4) = $false)),
% 2.02/0.67 inference(binary_proxy_clausification,[],[f707])).
% 2.02/0.67 thf(f707,plain,(
% 2.02/0.67 (((~ (d_29_ii @ sK3 @ sK4)) => (n_is @ sK3 @ sK4)) = $false)),
% 2.02/0.67 inference(not_proxy_clausification,[],[f706])).
% 2.02/0.67 thf(f706,plain,(
% 2.02/0.67 ($true = (~ ((~ (d_29_ii @ sK3 @ sK4)) => (n_is @ sK3 @ sK4))))),
% 2.02/0.67 inference(binary_proxy_clausification,[],[f703])).
% 2.02/0.67 thf(f703,plain,(
% 2.02/0.67 (((~ ((~ (d_29_ii @ sK3 @ sK4)) => (n_is @ sK3 @ sK4))) => (n_some @ (diffprop @ sK4 @ sK3))) = $false)),
% 2.02/0.67 inference(binary_proxy_clausification,[],[f702])).
% 2.02/0.67 thf(f702,plain,(
% 2.02/0.67 ($false = ((is_of @ sK4 @ (^[Y0 : $i]: (in @ Y0 @ nat))) => ((~ ((~ (d_29_ii @ sK3 @ sK4)) => (n_is @ sK3 @ sK4))) => (n_some @ (diffprop @ sK4 @ sK3)))))),
% 2.02/0.67 inference(beta_eta_normalization,[],[f701])).
% 2.02/0.67 thf(f701,plain,(
% 2.02/0.67 (((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((~ ((~ (d_29_ii @ sK3 @ Y0)) => (n_is @ sK3 @ Y0))) => (n_some @ (diffprop @ Y0 @ sK3))))) @ sK4) = $false)),
% 2.02/0.67 inference(sigma_clausification,[],[f699])).
% 2.02/0.67 thf(f699,plain,(
% 2.02/0.67 ((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((~ ((~ (d_29_ii @ sK3 @ Y0)) => (n_is @ sK3 @ Y0))) => (n_some @ (diffprop @ Y0 @ sK3)))))) = $false)),
% 2.02/0.67 inference(binary_proxy_clausification,[],[f698])).
% 2.02/0.67 thf(f698,plain,(
% 2.02/0.67 ($false = ((is_of @ sK3 @ (^[Y0 : $i]: (in @ Y0 @ nat))) => (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((~ ((~ (d_29_ii @ sK3 @ Y0)) => (n_is @ sK3 @ Y0))) => (n_some @ (diffprop @ Y0 @ sK3))))))))),
% 2.02/0.67 inference(beta_eta_normalization,[],[f697])).
% 2.02/0.67 thf(f697,plain,(
% 2.02/0.67 (((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((~ ((~ (d_29_ii @ Y0 @ Y1)) => (n_is @ Y0 @ Y1))) => (n_some @ (diffprop @ Y1 @ Y0)))))))) @ sK3) = $false)),
% 2.02/0.67 inference(sigma_clausification,[],[f696])).
% 2.02/0.67 thf(f696,plain,(
% 2.02/0.67 ($true != (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((~ ((~ (d_29_ii @ Y0 @ Y1)) => (n_is @ Y0 @ Y1))) => (n_some @ (diffprop @ Y1 @ Y0))))))))))),
% 2.02/0.67 inference(boolean_simplification,[],[f695])).
% 2.02/0.67 thf(f695,plain,(
% 2.02/0.67 ((!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((~ (((d_29_ii @ Y0 @ Y1) => $false) => (n_is @ Y0 @ Y1))) => (n_some @ (diffprop @ Y1 @ Y0))))))))) != $true)),
% 2.02/0.67 inference(boolean_simplification,[],[f694])).
% 2.02/0.67 thf(f694,plain,(
% 2.02/0.67 ($true != (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => (((((d_29_ii @ Y0 @ Y1) => $false) => (n_is @ Y0 @ Y1)) => $false) => (n_some @ (diffprop @ Y1 @ Y0))))))))))),
% 2.02/0.67 inference(beta_eta_normalization,[],[f651])).
% 2.02/0.67 thf(f651,plain,(
% 2.02/0.67 ($true != ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((is_of @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ Y2 @ $false)) @ ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ Y5 @ $false)) @ Y4))) @ (d_29_ii @ Y2 @ Y3) @ (n_is @ Y2 @ Y3))))) @ Y0 @ Y1)) => ((^[Y2 : $i]: ((^[Y3 : $i]: (n_some @ (diffprop @ Y3 @ Y2))))) @ Y0 @ Y1)))))))),
% 2.02/0.67 inference(definition_unfolding,[],[f593,f589,f589,f619,f621,f585])).
% 2.02/0.67 thf(f585,plain,(
% 2.02/0.67 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y1 @ Y0))))))),
% 2.02/0.67 inference(cnf_transformation,[],[f478])).
% 2.02/0.67 thf(f478,plain,(
% 2.02/0.67 (iii = (^[Y0 : $i]: ((^[Y1 : $i]: (n_some @ (diffprop @ Y1 @ Y0))))))),
% 2.02/0.67 inference(fool_elimination,[],[f206])).
% 2.02/0.67 thf(f206,axiom,(
% 2.02/0.67 ((^[X0 : $i, X1 : $i] : (n_some @ (diffprop @ X1 @ X0))) = iii)),
% 2.02/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_iii)).
% 2.02/0.67 thf(f621,plain,(
% 2.02/0.67 (moreis = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ ((^[Y3 : $o]: ((^[Y4 : $o]: ((^[Y5 : $o]: (Y4 => Y5)))) @ Y3 @ $false)) @ Y2))) @ (d_29_ii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 2.02/0.67 inference(definition_unfolding,[],[f603,f620])).
% 2.02/0.67 thf(f620,plain,(
% 2.02/0.67 (l_or = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: (Y1 => Y2)))) @ ((^[Y1 : $o]: ((^[Y2 : $o]: ((^[Y3 : $o]: (Y2 => Y3)))) @ Y1 @ $false)) @ Y0))))),
% 2.02/0.67 inference(definition_unfolding,[],[f569,f584,f619])).
% 2.02/0.67 thf(f584,plain,(
% 2.02/0.67 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))),
% 2.02/0.67 inference(cnf_transformation,[],[f403])).
% 2.02/0.67 thf(f403,plain,(
% 2.02/0.67 (imp = (^[Y0 : $o]: ((^[Y1 : $o]: (Y0 => Y1)))))),
% 2.02/0.67 inference(fool_elimination,[],[f402])).
% 2.02/0.67 thf(f402,plain,(
% 2.02/0.67 ((^[X0 : $o, X1 : $o] : (X0 => X1)) = imp)),
% 2.02/0.67 inference(rectify,[],[f74])).
% 2.02/0.67 thf(f74,axiom,(
% 2.02/0.67 ((^[X0 : $o, X1 : $o] : (X0 => X1)) = imp)),
% 2.02/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_imp)).
% 2.02/0.67 thf(f569,plain,(
% 2.02/0.67 (l_or = (^[Y0 : $o]: (imp @ (d_not @ Y0))))),
% 2.02/0.67 inference(cnf_transformation,[],[f503])).
% 2.02/0.67 thf(f503,plain,(
% 2.02/0.67 (l_or = (^[Y0 : $o]: (imp @ (d_not @ Y0))))),
% 2.02/0.67 inference(fool_elimination,[],[f81])).
% 2.02/0.67 thf(f81,axiom,(
% 2.02/0.67 (l_or = (^[X0 : $o] : (imp @ (d_not @ X0))))),
% 2.02/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_l_or)).
% 2.02/0.67 thf(f603,plain,(
% 2.02/0.67 (moreis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (d_29_ii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 2.02/0.67 inference(cnf_transformation,[],[f278])).
% 2.02/0.67 thf(f278,plain,(
% 2.02/0.67 (moreis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (d_29_ii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 2.02/0.67 inference(fool_elimination,[],[f216])).
% 2.02/0.67 thf(f216,axiom,(
% 2.02/0.67 ((^[X0 : $i, X1 : $i] : (l_or @ (d_29_ii @ X0 @ X1) @ (n_is @ X0 @ X1))) = moreis)),
% 2.02/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_moreis)).
% 2.02/0.67 thf(f619,plain,(
% 2.02/0.67 (d_not = (^[Y0 : $o]: ((^[Y1 : $o]: ((^[Y2 : $o]: (Y1 => Y2)))) @ Y0 @ $false)))),
% 2.02/0.67 inference(definition_unfolding,[],[f592,f584])).
% 2.02/0.67 thf(f592,plain,(
% 2.02/0.67 (d_not = (^[Y0 : $o]: (imp @ Y0 @ $false)))),
% 2.02/0.67 inference(cnf_transformation,[],[f251])).
% 2.02/0.67 thf(f251,plain,(
% 2.02/0.67 (d_not = (^[Y0 : $o]: (imp @ Y0 @ $false)))),
% 2.02/0.67 inference(fool_elimination,[],[f75])).
% 2.02/0.67 thf(f75,axiom,(
% 2.02/0.67 ((^[X0 : $o] : (imp @ X0 @ $false)) = d_not)),
% 2.02/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_d_not)).
% 2.02/0.67 thf(f589,plain,(
% 2.02/0.67 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 2.02/0.67 inference(cnf_transformation,[],[f525])).
% 2.02/0.67 thf(f525,plain,(
% 2.02/0.67 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 2.02/0.67 inference(fool_elimination,[],[f524])).
% 2.02/0.67 thf(f524,plain,(
% 2.02/0.67 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)),
% 2.02/0.67 inference(rectify,[],[f2])).
% 2.02/0.67 thf(f2,axiom,(
% 2.02/0.67 ((^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))) = all_of)),
% 2.02/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_all_of)).
% 2.02/0.67 thf(f593,plain,(
% 2.02/0.67 ($true != (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (moreis @ Y0 @ Y1)) => (iii @ Y0 @ Y1)))))))),
% 2.02/0.67 inference(cnf_transformation,[],[f558])).
% 2.02/0.67 thf(f558,plain,(
% 2.02/0.67 ($true != (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (moreis @ Y0 @ Y1)) => (iii @ Y0 @ Y1)))))))),
% 2.02/0.67 inference(flattening,[],[f451])).
% 2.02/0.67 thf(f451,plain,(
% 2.02/0.67 ~($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (moreis @ Y0 @ Y1)) => (iii @ Y0 @ Y1)))))))),
% 2.02/0.67 inference(fool_elimination,[],[f450])).
% 2.02/0.67 thf(f450,plain,(
% 2.02/0.67 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((d_not @ (moreis @ X1 @ X3)) => (iii @ X1 @ X3))))))),
% 2.02/0.67 inference(rectify,[],[f227])).
% 2.02/0.67 thf(f227,negated_conjecture,(
% 2.02/0.67 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((d_not @ (moreis @ X0 @ X1)) => (iii @ X0 @ X1))))))),
% 2.02/0.67 inference(negated_conjecture,[],[f226])).
% 2.02/0.67 thf(f226,conjecture,(
% 2.02/0.67 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((d_not @ (moreis @ X0 @ X1)) => (iii @ X0 @ X1))))))),
% 2.02/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10j)).
% 2.02/0.67 thf(f2327,plain,(
% 2.02/0.67 ($true = (n_is @ sK3 @ sK4))),
% 2.02/0.67 inference(trivial_inequality_removal,[],[f2326])).
% 2.02/0.67 thf(f2326,plain,(
% 2.02/0.67 ($true = (n_is @ sK3 @ sK4)) | ($true = $false)),
% 2.02/0.67 inference(forward_demodulation,[],[f2325,f710])).
% 2.02/0.67 thf(f710,plain,(
% 2.02/0.67 ((d_29_ii @ sK3 @ sK4) = $false)),
% 2.02/0.67 inference(not_proxy_clausification,[],[f709])).
% 2.02/0.67 thf(f709,plain,(
% 2.02/0.67 ($true = (~ (d_29_ii @ sK3 @ sK4)))),
% 2.02/0.67 inference(binary_proxy_clausification,[],[f707])).
% 2.02/0.67 thf(f2325,plain,(
% 2.02/0.67 ($true = (d_29_ii @ sK3 @ sK4)) | ($true = (n_is @ sK3 @ sK4))),
% 2.02/0.67 inference(trivial_inequality_removal,[],[f2324])).
% 2.02/0.67 thf(f2324,plain,(
% 2.02/0.67 ($true = (n_is @ sK3 @ sK4)) | ($true = $false) | ($true = (d_29_ii @ sK3 @ sK4))),
% 2.02/0.67 inference(forward_demodulation,[],[f2323,f705])).
% 2.02/0.67 thf(f705,plain,(
% 2.02/0.67 ((n_some @ (diffprop @ sK4 @ sK3)) = $false)),
% 2.02/0.67 inference(binary_proxy_clausification,[],[f703])).
% 2.02/0.67 thf(f2323,plain,(
% 2.02/0.67 ($true = (n_some @ (diffprop @ sK4 @ sK3))) | ($true = (n_is @ sK3 @ sK4)) | ($true = (d_29_ii @ sK3 @ sK4))),
% 2.02/0.67 inference(trivial_inequality_removal,[],[f2316])).
% 2.02/0.67 thf(f2316,plain,(
% 2.02/0.67 ($true = $false) | ($true = (n_some @ (diffprop @ sK4 @ sK3))) | ($true = (n_is @ sK3 @ sK4)) | ($true = (d_29_ii @ sK3 @ sK4))),
% 2.02/0.67 inference(superposition,[],[f1276,f700])).
% 2.02/0.67 thf(f700,plain,(
% 2.02/0.67 ($true = (is_of @ sK3 @ (^[Y0 : $i]: (in @ Y0 @ nat))))),
% 2.02/0.67 inference(binary_proxy_clausification,[],[f698])).
% 2.02/0.67 thf(f1276,plain,(
% 2.02/0.67 ( ! [X0 : $i] : (((is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ($true = (d_29_ii @ X0 @ sK4)) | ($true = (n_is @ X0 @ sK4)) | ($true = (n_some @ (diffprop @ sK4 @ X0)))) )),
% 2.02/0.67 inference(trivial_inequality_removal,[],[f1271])).
% 2.02/0.67 thf(f1271,plain,(
% 2.02/0.67 ( ! [X0 : $i] : (($true = (d_29_ii @ X0 @ sK4)) | ((is_of @ X0 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ($true = (n_some @ (diffprop @ sK4 @ X0))) | ($true = (n_is @ X0 @ sK4)) | ($true = $false)) )),
% 2.02/0.67 inference(superposition,[],[f809,f704])).
% 2.02/0.67 thf(f704,plain,(
% 2.02/0.67 ($true = (is_of @ sK4 @ (^[Y0 : $i]: (in @ Y0 @ nat))))),
% 2.02/0.67 inference(binary_proxy_clausification,[],[f702])).
% 2.02/0.67 thf(f809,plain,(
% 2.02/0.67 ( ! [X2 : $i,X1 : $i] : (($false = (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat)))) | ($true = (n_some @ (diffprop @ X2 @ X1))) | ($true = (d_29_ii @ X1 @ X2)) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ((n_is @ X1 @ X2) = $true)) )),
% 2.02/0.67 inference(not_proxy_clausification,[],[f808])).
% 2.02/0.67 thf(f808,plain,(
% 2.02/0.67 ( ! [X2 : $i,X1 : $i] : (($false = (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat)))) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ((~ (n_some @ (diffprop @ X2 @ X1))) = $false) | ($true = (d_29_ii @ X1 @ X2)) | ((n_is @ X1 @ X2) = $true)) )),
% 2.02/0.67 inference(binary_proxy_clausification,[],[f807])).
% 2.02/0.67 thf(f807,plain,(
% 2.02/0.67 ( ! [X2 : $i,X1 : $i] : (((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ($false = (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat)))) | ($true = ((~ (n_some @ (diffprop @ X2 @ X1))) => (n_is @ X1 @ X2))) | ($true = (d_29_ii @ X1 @ X2))) )),
% 2.02/0.67 inference(not_proxy_clausification,[],[f806])).
% 2.02/0.67 thf(f806,plain,(
% 2.02/0.67 ( ! [X2 : $i,X1 : $i] : (((~ (d_29_ii @ X1 @ X2)) = $false) | ($true = ((~ (n_some @ (diffprop @ X2 @ X1))) => (n_is @ X1 @ X2))) | ($false = (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat)))) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )),
% 2.02/0.67 inference(binary_proxy_clausification,[],[f805])).
% 2.02/0.67 thf(f805,plain,(
% 2.02/0.67 ( ! [X2 : $i,X1 : $i] : (($false = (is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat)))) | ($true = ((~ (d_29_ii @ X1 @ X2)) => ((~ (n_some @ (diffprop @ X2 @ X1))) => (n_is @ X1 @ X2)))) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )),
% 2.02/0.67 inference(binary_proxy_clausification,[],[f804])).
% 2.02/0.67 thf(f804,plain,(
% 2.02/0.67 ( ! [X2 : $i,X1 : $i] : (($true = ((is_of @ X2 @ (^[Y0 : $i]: (in @ Y0 @ nat))) => ((~ (d_29_ii @ X1 @ X2)) => ((~ (n_some @ (diffprop @ X2 @ X1))) => (n_is @ X1 @ X2))))) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )),
% 2.02/0.67 inference(beta_eta_normalization,[],[f803])).
% 2.02/0.67 thf(f803,plain,(
% 2.02/0.67 ( ! [X2 : $i,X1 : $i] : (((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false) | ($true = ((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((~ (d_29_ii @ X1 @ Y0)) => ((~ (n_some @ (diffprop @ Y0 @ X1))) => (n_is @ X1 @ Y0))))) @ X2))) )),
% 2.02/0.67 inference(pi_clausification,[],[f802])).
% 2.02/0.67 thf(f802,plain,(
% 2.02/0.67 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((~ (d_29_ii @ X1 @ Y0)) => ((~ (n_some @ (diffprop @ Y0 @ X1))) => (n_is @ X1 @ Y0))))))) | ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) = $false)) )),
% 2.02/0.67 inference(binary_proxy_clausification,[],[f801])).
% 2.02/0.67 thf(f801,plain,(
% 2.02/0.67 ( ! [X1 : $i] : (($true = ((is_of @ X1 @ (^[Y0 : $i]: (in @ Y0 @ nat))) => (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => ((~ (d_29_ii @ X1 @ Y0)) => ((~ (n_some @ (diffprop @ Y0 @ X1))) => (n_is @ X1 @ Y0))))))))) )),
% 2.02/0.67 inference(beta_eta_normalization,[],[f800])).
% 2.02/0.67 thf(f800,plain,(
% 2.02/0.67 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((~ (d_29_ii @ Y0 @ Y1)) => ((~ (n_some @ (diffprop @ Y1 @ Y0))) => (n_is @ Y0 @ Y1)))))))) @ X1))) )),
% 2.02/0.67 inference(pi_clausification,[],[f799])).
% 2.02/0.67 thf(f799,plain,(
% 2.02/0.67 ($true = (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => ((~ (d_29_ii @ Y0 @ Y1)) => ((~ (n_some @ (diffprop @ Y1 @ Y0))) => (n_is @ Y0 @ Y1))))))))))),
% 2.02/0.67 inference(boolean_simplification,[],[f798])).
% 2.02/0.67 thf(f798,plain,(
% 2.02/0.67 ($true = (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => (((d_29_ii @ Y0 @ Y1) => $false) => ((~ (n_some @ (diffprop @ Y1 @ Y0))) => (n_is @ Y0 @ Y1))))))))))),
% 2.02/0.67 inference(boolean_simplification,[],[f797])).
% 2.02/0.67 thf(f797,plain,(
% 2.02/0.67 ($true = (!! @ $i @ (^[Y0 : $i]: ((is_of @ Y0 @ (^[Y1 : $i]: (in @ Y1 @ nat))) => (!! @ $i @ (^[Y1 : $i]: ((is_of @ Y1 @ (^[Y2 : $i]: (in @ Y2 @ nat))) => (((d_29_ii @ Y0 @ Y1) => $false) => (((n_some @ (diffprop @ Y1 @ Y0)) => $false) => (n_is @ Y0 @ Y1))))))))))),
% 2.02/0.67 inference(beta_eta_normalization,[],[f635])).
% 2.02/0.67 thf(f635,plain,(
% 2.02/0.67 ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: ((is_of @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ Y2 @ $false)) @ (d_29_ii @ Y0 @ Y1)) => ((^[Y2 : $i]: ((^[Y3 : $i]: ((^[Y4 : $o]: ((^[Y5 : $o]: ((^[Y6 : $o]: (Y5 => Y6)))) @ ((^[Y5 : $o]: ((^[Y6 : $o]: ((^[Y7 : $o]: (Y6 => Y7)))) @ Y5 @ $false)) @ Y4))) @ ((^[Y4 : $i]: ((^[Y5 : $i]: (n_some @ (diffprop @ Y5 @ Y4))))) @ Y2 @ Y3) @ (n_is @ Y2 @ Y3))))) @ Y0 @ Y1)))))))),
% 2.02/0.67 inference(definition_unfolding,[],[f562,f589,f589,f619,f622])).
% 2.02/0.67 thf(f622,plain,(
% 2.02/0.67 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $o]: ((^[Y3 : $o]: ((^[Y4 : $o]: (Y3 => Y4)))) @ ((^[Y3 : $o]: ((^[Y4 : $o]: ((^[Y5 : $o]: (Y4 => Y5)))) @ Y3 @ $false)) @ Y2))) @ ((^[Y2 : $i]: ((^[Y3 : $i]: (n_some @ (diffprop @ Y3 @ Y2))))) @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 2.02/0.67 inference(definition_unfolding,[],[f576,f620,f585])).
% 2.02/0.67 thf(f576,plain,(
% 2.02/0.67 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (iii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 2.02/0.67 inference(cnf_transformation,[],[f284])).
% 2.02/0.67 thf(f284,plain,(
% 2.02/0.67 (lessis = (^[Y0 : $i]: ((^[Y1 : $i]: (l_or @ (iii @ Y0 @ Y1) @ (n_is @ Y0 @ Y1))))))),
% 2.02/0.67 inference(fool_elimination,[],[f217])).
% 2.02/0.67 thf(f217,axiom,(
% 2.02/0.67 (lessis = (^[X0 : $i, X1 : $i] : (l_or @ (iii @ X0 @ X1) @ (n_is @ X0 @ X1))))),
% 2.02/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_lessis)).
% 2.02/0.67 thf(f562,plain,(
% 2.02/0.67 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (d_29_ii @ Y0 @ Y1)) => (lessis @ Y0 @ Y1)))))))),
% 2.02/0.67 inference(cnf_transformation,[],[f407])).
% 2.02/0.67 thf(f407,plain,(
% 2.02/0.67 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((d_not @ (d_29_ii @ Y0 @ Y1)) => (lessis @ Y0 @ Y1)))))))),
% 2.02/0.67 inference(fool_elimination,[],[f406])).
% 2.02/0.67 thf(f406,plain,(
% 2.02/0.67 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : ((d_not @ (d_29_ii @ X1 @ X3)) => (lessis @ X1 @ X3))))))),
% 2.02/0.67 inference(rectify,[],[f222])).
% 2.02/0.67 thf(f222,axiom,(
% 2.02/0.67 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : ((d_not @ (d_29_ii @ X0 @ X1)) => (lessis @ X0 @ X1))))))),
% 2.02/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz10e)).
% 2.02/0.67 % SZS output end Proof for theBenchmark
% 2.02/0.67 % (29555)------------------------------
% 2.02/0.67 % (29555)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.02/0.67 % (29555)Termination reason: Refutation
% 2.02/0.67
% 2.02/0.67 % (29555)Memory used [KB]: 7036
% 2.02/0.67 % (29555)Time elapsed: 0.224 s
% 2.02/0.67 % (29555)Instructions burned: 392 (million)
% 2.02/0.67 % (29555)------------------------------
% 2.02/0.67 % (29555)------------------------------
% 2.02/0.67 % (29525)Success in time 0.323 s
%------------------------------------------------------------------------------