TSTP Solution File: NUM676^4 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : NUM676^4 : TPTP v8.2.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n029.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 13:16:33 EDT 2024
% Result : Theorem 2.17s 0.74s
% Output : Refutation 2.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : NUM676^4 : TPTP v8.2.0. Released v7.1.0.
% 0.04/0.14 % Command : run_vampire %s %d THM
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Jun 22 20:46:39 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.23/0.38 This is a TH0_THM_EQU_NAR problem
% 0.23/0.38 Running higher-order theorem proving
% 0.23/0.38 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
% 0.23/0.41 % (10565)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.41 % (10565)Instruction limit reached!
% 0.23/0.41 % (10565)------------------------------
% 0.23/0.41 % (10565)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.41 % (10565)Termination reason: Unknown
% 0.23/0.41 % (10565)Termination phase: shuffling
% 0.23/0.41
% 0.23/0.41 % (10565)Memory used [KB]: 1279
% 0.23/0.41 % (10565)Time elapsed: 0.004 s
% 0.23/0.41 % (10565)Instructions burned: 2 (million)
% 0.23/0.41 % (10565)------------------------------
% 0.23/0.41 % (10565)------------------------------
% 0.23/0.41 % (10567)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)
% 0.23/0.41 % (10562)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.23/0.41 % (10564)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)
% 0.23/0.41 % (10566)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)
% 0.23/0.42 % (10566)Instruction limit reached!
% 0.23/0.42 % (10566)------------------------------
% 0.23/0.42 % (10566)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.42 % (10566)Termination reason: Unknown
% 0.23/0.42 % (10566)Termination phase: shuffling
% 0.23/0.42
% 0.23/0.42 % (10566)Memory used [KB]: 1279
% 0.23/0.42 % (10566)Time elapsed: 0.004 s
% 0.23/0.42 % (10566)Instructions burned: 3 (million)
% 0.23/0.42 % (10566)------------------------------
% 0.23/0.42 % (10566)------------------------------
% 0.23/0.42 % (10563)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)
% 0.23/0.42 % (10563)Instruction limit reached!
% 0.23/0.42 % (10563)------------------------------
% 0.23/0.42 % (10563)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.42 % (10563)Termination reason: Unknown
% 0.23/0.42 % (10563)Termination phase: shuffling
% 0.23/0.42
% 0.23/0.42 % (10563)Memory used [KB]: 1407
% 0.23/0.42 % (10563)Time elapsed: 0.006 s
% 0.23/0.42 % (10563)Instructions burned: 5 (million)
% 0.23/0.42 % (10563)------------------------------
% 0.23/0.42 % (10563)------------------------------
% 0.23/0.43 % (10568)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.23/0.43 % (10564)Instruction limit reached!
% 0.23/0.43 % (10564)------------------------------
% 0.23/0.43 % (10564)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.43 % (10564)Termination reason: Unknown
% 0.23/0.43 % (10564)Termination phase: Property scanning
% 0.23/0.43
% 0.23/0.43 % (10564)Memory used [KB]: 1663
% 0.23/0.43 % (10564)Time elapsed: 0.017 s
% 0.23/0.43 % (10564)Instructions burned: 27 (million)
% 0.23/0.43 % (10564)------------------------------
% 0.23/0.43 % (10564)------------------------------
% 0.23/0.43 % (10569)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)
% 0.23/0.43 % (10569)Instruction limit reached!
% 0.23/0.43 % (10569)------------------------------
% 0.23/0.43 % (10569)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.43 % (10569)Termination reason: Unknown
% 0.23/0.43 % (10569)Termination phase: shuffling
% 0.23/0.43
% 0.23/0.43 % (10569)Memory used [KB]: 1279
% 0.23/0.43 % (10569)Time elapsed: 0.004 s
% 0.23/0.43 % (10569)Instructions burned: 3 (million)
% 0.23/0.43 % (10569)------------------------------
% 0.23/0.43 % (10569)------------------------------
% 0.23/0.43 % (10570)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)
% 0.23/0.43 % (10567)Refutation not found, incomplete strategy
% 0.23/0.43 % (10567)------------------------------
% 0.23/0.43 % (10567)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.43 % (10567)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.43
% 0.23/0.43
% 0.23/0.43 % (10567)Memory used [KB]: 6268
% 0.23/0.43 % (10567)Time elapsed: 0.023 s
% 0.23/0.43 % (10567)Instructions burned: 46 (million)
% 0.23/0.43 % (10567)------------------------------
% 0.23/0.43 % (10567)------------------------------
% 0.23/0.44 % (10568)Instruction limit reached!
% 0.23/0.44 % (10568)------------------------------
% 0.23/0.44 % (10568)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.44 % (10568)Termination reason: Unknown
% 0.23/0.44 % (10568)Termination phase: shuffling
% 0.23/0.44
% 0.23/0.44 % (10568)Memory used [KB]: 1663
% 0.23/0.44 % (10568)Time elapsed: 0.012 s
% 0.23/0.44 % (10568)Instructions burned: 18 (million)
% 0.23/0.44 % (10568)------------------------------
% 0.23/0.44 % (10568)------------------------------
% 0.23/0.44 % (10571)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)
% 0.23/0.44 % (10572)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)
% 0.23/0.45 % (10572)Instruction limit reached!
% 0.23/0.45 % (10572)------------------------------
% 0.23/0.45 % (10572)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.45 % (10572)Termination reason: Unknown
% 0.23/0.45 % (10572)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (10572)Memory used [KB]: 1279
% 0.23/0.45 % (10572)Time elapsed: 0.004 s
% 0.23/0.45 % (10572)Instructions burned: 3 (million)
% 0.23/0.45 % (10572)------------------------------
% 0.23/0.45 % (10572)------------------------------
% 0.23/0.45 % (10573)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)
% 0.23/0.45 % (10571)Instruction limit reached!
% 0.23/0.45 % (10571)------------------------------
% 0.23/0.45 % (10571)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.45 % (10571)Termination reason: Unknown
% 0.23/0.45 % (10571)Termination phase: shuffling
% 0.23/0.45
% 0.23/0.45 % (10571)Memory used [KB]: 1663
% 0.23/0.45 % (10571)Time elapsed: 0.009 s
% 0.23/0.45 % (10571)Instructions burned: 16 (million)
% 0.23/0.45 % (10571)------------------------------
% 0.23/0.45 % (10571)------------------------------
% 0.23/0.45 % (10570)Instruction limit reached!
% 0.23/0.45 % (10570)------------------------------
% 0.23/0.45 % (10570)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.23/0.45 % (10570)Termination reason: Unknown
% 0.23/0.45 % (10570)Termination phase: Property scanning
% 0.23/0.45
% 0.23/0.45 % (10570)Memory used [KB]: 1791
% 0.23/0.45 % (10570)Time elapsed: 0.021 s
% 0.23/0.45 % (10570)Instructions burned: 38 (million)
% 0.23/0.45 % (10570)------------------------------
% 0.23/0.45 % (10570)------------------------------
% 0.24/0.45 % (10575)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.24/0.45 % (10574)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.24/0.46 % (10574)Instruction limit reached!
% 0.24/0.46 % (10574)------------------------------
% 0.24/0.46 % (10574)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.46 % (10574)Termination reason: Unknown
% 0.24/0.46 % (10574)Termination phase: shuffling
% 0.24/0.46
% 0.24/0.46 % (10574)Memory used [KB]: 1407
% 0.24/0.46 % (10574)Time elapsed: 0.005 s
% 0.24/0.46 % (10574)Instructions burned: 7 (million)
% 0.24/0.46 % (10574)------------------------------
% 0.24/0.46 % (10574)------------------------------
% 0.24/0.46 % (10575)Instruction limit reached!
% 0.24/0.46 % (10575)------------------------------
% 0.24/0.46 % (10575)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.46 % (10575)Termination reason: Unknown
% 0.24/0.46 % (10575)Termination phase: shuffling
% 0.24/0.46
% 0.24/0.46 % (10575)Memory used [KB]: 1535
% 0.24/0.46 % (10575)Time elapsed: 0.011 s
% 0.24/0.46 % (10575)Instructions burned: 16 (million)
% 0.24/0.46 % (10575)------------------------------
% 0.24/0.46 % (10575)------------------------------
% 0.24/0.46 % (10576)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)
% 0.24/0.46 % (10576)Instruction limit reached!
% 0.24/0.46 % (10576)------------------------------
% 0.24/0.46 % (10576)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.46 % (10576)Termination reason: Unknown
% 0.24/0.46 % (10576)Termination phase: shuffling
% 0.24/0.46
% 0.24/0.46 % (10576)Memory used [KB]: 1279
% 0.24/0.46 % (10576)Time elapsed: 0.004 s
% 0.24/0.46 % (10576)Instructions burned: 3 (million)
% 0.24/0.46 % (10576)------------------------------
% 0.24/0.46 % (10576)------------------------------
% 0.24/0.47 % (10577)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)
% 0.24/0.47 % (10578)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)
% 0.24/0.47 % (10577)Instruction limit reached!
% 0.24/0.47 % (10577)------------------------------
% 0.24/0.47 % (10577)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.47 % (10577)Termination reason: Unknown
% 0.24/0.47 % (10577)Termination phase: shuffling
% 0.24/0.47
% 0.24/0.47 % (10577)Memory used [KB]: 1279
% 0.24/0.47 % (10577)Time elapsed: 0.004 s
% 0.24/0.47 % (10577)Instructions burned: 3 (million)
% 0.24/0.47 % (10577)------------------------------
% 0.24/0.47 % (10577)------------------------------
% 0.24/0.47 % (10579)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)
% 0.24/0.47 % (10578)Instruction limit reached!
% 0.24/0.47 % (10578)------------------------------
% 0.24/0.47 % (10578)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.47 % (10578)Termination reason: Unknown
% 0.24/0.47 % (10578)Termination phase: shuffling
% 0.24/0.47
% 0.24/0.47 % (10578)Memory used [KB]: 1407
% 0.24/0.47 % (10578)Time elapsed: 0.005 s
% 0.24/0.47 % (10578)Instructions burned: 8 (million)
% 0.24/0.47 % (10578)------------------------------
% 0.24/0.47 % (10578)------------------------------
% 0.24/0.47 % (10579)Instruction limit reached!
% 0.24/0.47 % (10579)------------------------------
% 0.24/0.47 % (10579)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.47 % (10579)Termination reason: Unknown
% 0.24/0.47 % (10579)Termination phase: shuffling
% 0.24/0.47
% 0.24/0.47 % (10579)Memory used [KB]: 1407
% 0.24/0.47 % (10579)Time elapsed: 0.003 s
% 0.24/0.47 % (10579)Instructions burned: 4 (million)
% 0.24/0.47 % (10579)------------------------------
% 0.24/0.47 % (10579)------------------------------
% 0.24/0.48 % (10581)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)
% 0.24/0.48 % (10584)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)
% 0.24/0.48 % (10582)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.24/0.48 % (10580)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.24/0.48 % (10583)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.24/0.49 % (10580)Instruction limit reached!
% 0.24/0.49 % (10580)------------------------------
% 0.24/0.49 % (10580)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.49 % (10580)Termination reason: Unknown
% 0.24/0.49 % (10580)Termination phase: shuffling
% 0.24/0.49
% 0.24/0.49 % (10580)Memory used [KB]: 1407
% 0.24/0.49 % (10580)Time elapsed: 0.006 s
% 0.24/0.49 % (10580)Instructions burned: 4 (million)
% 0.24/0.49 % (10580)------------------------------
% 0.24/0.49 % (10580)------------------------------
% 0.24/0.49 % (10583)Instruction limit reached!
% 0.24/0.49 % (10583)------------------------------
% 0.24/0.49 % (10583)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.49 % (10583)Termination reason: Unknown
% 0.24/0.49 % (10583)Termination phase: shuffling
% 0.24/0.49
% 0.24/0.49 % (10583)Memory used [KB]: 1407
% 0.24/0.49 % (10583)Time elapsed: 0.005 s
% 0.24/0.49 % (10583)Instructions burned: 7 (million)
% 0.24/0.49 % (10583)------------------------------
% 0.24/0.49 % (10583)------------------------------
% 0.24/0.49 % (10581)Instruction limit reached!
% 0.24/0.49 % (10581)------------------------------
% 0.24/0.49 % (10581)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.49 % (10581)Termination reason: Unknown
% 0.24/0.49 % (10562)Instruction limit reached!
% 0.24/0.49 % (10562)------------------------------
% 0.24/0.49 % (10562)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.49 % (10581)Termination phase: shuffling
% 0.24/0.49
% 0.24/0.49 % (10581)Memory used [KB]: 1663
% 0.24/0.49 % (10581)Time elapsed: 0.012 s
% 0.24/0.49 % (10581)Instructions burned: 18 (million)
% 0.24/0.49 % (10581)------------------------------
% 0.24/0.49 % (10581)------------------------------
% 0.24/0.49 % (10562)Termination reason: Unknown
% 0.24/0.49 % (10562)Termination phase: Function definition elimination
% 0.24/0.49
% 0.24/0.49 % (10562)Memory used [KB]: 2046
% 0.24/0.49 % (10562)Time elapsed: 0.078 s
% 0.24/0.49 % (10562)Instructions burned: 185 (million)
% 0.24/0.49 % (10562)------------------------------
% 0.24/0.49 % (10562)------------------------------
% 0.24/0.50 % (10586)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2998ds/5Mi)
% 0.24/0.50 % (10586)Instruction limit reached!
% 0.24/0.50 % (10586)------------------------------
% 0.24/0.50 % (10586)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.50 % (10586)Termination reason: Unknown
% 0.24/0.50 % (10586)Termination phase: shuffling
% 0.24/0.50
% 0.24/0.50 % (10586)Memory used [KB]: 1407
% 0.24/0.50 % (10586)Time elapsed: 0.004 s
% 0.24/0.50 % (10586)Instructions burned: 5 (million)
% 0.24/0.50 % (10586)------------------------------
% 0.24/0.50 % (10586)------------------------------
% 0.24/0.50 % (10588)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2998ds/377Mi)
% 0.24/0.50 % (10587)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 (2998ds/6Mi)
% 0.24/0.51 % (10584)Refutation not found, incomplete strategy
% 0.24/0.51 % (10584)------------------------------
% 0.24/0.51 % (10584)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.51 % (10584)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.51
% 0.24/0.51
% 0.24/0.51 % (10584)Memory used [KB]: 6524
% 0.24/0.51 % (10584)Time elapsed: 0.027 s
% 0.24/0.51 % (10584)Instructions burned: 83 (million)
% 0.24/0.51 % (10584)------------------------------
% 0.24/0.51 % (10584)------------------------------
% 0.24/0.51 % (10585)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 (2998ds/21Mi)
% 0.24/0.51 % (10587)Instruction limit reached!
% 0.24/0.51 % (10587)------------------------------
% 0.24/0.51 % (10587)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.51 % (10587)Termination reason: Unknown
% 0.24/0.51 % (10587)Termination phase: shuffling
% 0.24/0.51
% 0.24/0.51 % (10587)Memory used [KB]: 1407
% 0.24/0.51 % (10587)Time elapsed: 0.005 s
% 0.24/0.51 % (10587)Instructions burned: 6 (million)
% 0.24/0.51 % (10587)------------------------------
% 0.24/0.51 % (10587)------------------------------
% 0.24/0.51 % (10589)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 (2998ds/779Mi)
% 0.24/0.52 % (10585)Instruction limit reached!
% 0.24/0.52 % (10585)------------------------------
% 0.24/0.52 % (10585)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.52 % (10585)Termination reason: Unknown
% 0.24/0.52 % (10585)Termination phase: shuffling
% 0.24/0.52
% 0.24/0.52 % (10585)Memory used [KB]: 1663
% 0.24/0.52 % (10585)Time elapsed: 0.011 s
% 0.24/0.52 % (10585)Instructions burned: 21 (million)
% 0.24/0.52 % (10585)------------------------------
% 0.24/0.52 % (10585)------------------------------
% 0.24/0.52 % (10591)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)
% 0.24/0.52 % (10590)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)
% 0.24/0.53 % (10592)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.24/0.53 % (10590)Instruction limit reached!
% 0.24/0.53 % (10590)------------------------------
% 0.24/0.53 % (10590)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.53 % (10590)Termination reason: Unknown
% 0.24/0.53 % (10590)Termination phase: shuffling
% 0.24/0.53
% 0.24/0.53 % (10590)Memory used [KB]: 1663
% 0.24/0.53 % (10590)Time elapsed: 0.011 s
% 0.24/0.53 % (10590)Instructions burned: 20 (million)
% 0.24/0.53 % (10590)------------------------------
% 0.24/0.53 % (10590)------------------------------
% 0.24/0.53 % (10592)Instruction limit reached!
% 0.24/0.53 % (10592)------------------------------
% 0.24/0.53 % (10592)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.24/0.53 % (10592)Termination reason: Unknown
% 0.24/0.53 % (10592)Termination phase: shuffling
% 0.24/0.53
% 0.24/0.53 % (10592)Memory used [KB]: 1663
% 0.24/0.53 % (10592)Time elapsed: 0.007 s
% 0.24/0.53 % (10592)Instructions burned: 20 (million)
% 0.24/0.53 % (10592)------------------------------
% 0.24/0.53 % (10592)------------------------------
% 1.12/0.54 % (10594)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on theBenchmark for (2998ds/30Mi)
% 1.12/0.55 % (10593)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2998ds/3Mi)
% 1.12/0.55 % (10593)Instruction limit reached!
% 1.12/0.55 % (10593)------------------------------
% 1.12/0.55 % (10593)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.12/0.55 % (10593)Termination reason: Unknown
% 1.12/0.55 % (10593)Termination phase: shuffling
% 1.12/0.55
% 1.12/0.55 % (10593)Memory used [KB]: 1407
% 1.12/0.55 % (10593)Time elapsed: 0.004 s
% 1.12/0.55 % (10593)Instructions burned: 4 (million)
% 1.12/0.55 % (10593)------------------------------
% 1.12/0.55 % (10593)------------------------------
% 1.12/0.55 % (10594)Instruction limit reached!
% 1.12/0.55 % (10594)------------------------------
% 1.12/0.55 % (10594)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.12/0.55 % (10594)Termination reason: Unknown
% 1.12/0.55 % (10594)Termination phase: Property scanning
% 1.12/0.55
% 1.12/0.55 % (10594)Memory used [KB]: 1663
% 1.12/0.55 % (10594)Time elapsed: 0.010 s
% 1.12/0.55 % (10594)Instructions burned: 32 (million)
% 1.12/0.55 % (10594)------------------------------
% 1.12/0.55 % (10594)------------------------------
% 1.12/0.55 % (10591)Refutation not found, incomplete strategy
% 1.12/0.55 % (10591)------------------------------
% 1.12/0.55 % (10591)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.12/0.55 % (10591)Termination reason: Refutation not found, incomplete strategy
% 1.12/0.55
% 1.12/0.55
% 1.12/0.55 % (10591)Memory used [KB]: 6524
% 1.12/0.55 % (10591)Time elapsed: 0.035 s
% 1.12/0.55 % (10591)Instructions burned: 106 (million)
% 1.12/0.55 % (10591)------------------------------
% 1.12/0.55 % (10591)------------------------------
% 1.27/0.56 % (10595)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)
% 1.27/0.56 % (10597)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)
% 1.27/0.57 % (10596)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)
% 1.27/0.57 % (10597)Instruction limit reached!
% 1.27/0.57 % (10597)------------------------------
% 1.27/0.57 % (10597)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.27/0.57 % (10597)Termination reason: Unknown
% 1.27/0.57 % (10597)Termination phase: shuffling
% 1.27/0.57
% 1.27/0.57 % (10597)Memory used [KB]: 1279
% 1.27/0.57 % (10597)Time elapsed: 0.003 s
% 1.27/0.57 % (10597)Instructions burned: 3 (million)
% 1.27/0.57 % (10597)------------------------------
% 1.27/0.57 % (10597)------------------------------
% 1.27/0.57 % (10598)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)
% 1.27/0.58 % (10598)Instruction limit reached!
% 1.27/0.58 % (10598)------------------------------
% 1.27/0.58 % (10598)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.27/0.58 % (10598)Termination reason: Unknown
% 1.27/0.58 % (10598)Termination phase: shuffling
% 1.27/0.58
% 1.27/0.58 % (10598)Memory used [KB]: 1663
% 1.27/0.58 % (10598)Time elapsed: 0.009 s
% 1.27/0.58 % (10598)Instructions burned: 21 (million)
% 1.27/0.58 % (10598)------------------------------
% 1.27/0.58 % (10598)------------------------------
% 1.27/0.59 % (10599)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on theBenchmark for (2998ds/86Mi)
% 1.27/0.60 % (10596)Instruction limit reached!
% 1.27/0.60 % (10596)------------------------------
% 1.27/0.60 % (10596)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.27/0.60 % (10596)Termination reason: Unknown
% 1.27/0.60 % (10596)Termination phase: Function definition elimination
% 1.27/0.60
% 1.27/0.60 % (10596)Memory used [KB]: 2046
% 1.27/0.60 % (10596)Time elapsed: 0.041 s
% 1.27/0.60 % (10596)Instructions burned: 103 (million)
% 1.27/0.60 % (10596)------------------------------
% 1.27/0.60 % (10596)------------------------------
% 1.27/0.61 % (10595)Instruction limit reached!
% 1.27/0.61 % (10595)------------------------------
% 1.27/0.61 % (10595)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.27/0.61 % (10595)Termination reason: Unknown
% 1.27/0.61 % (10595)Termination phase: Function definition elimination
% 1.27/0.61
% 1.27/0.61 % (10595)Memory used [KB]: 2046
% 1.27/0.61 % (10595)Time elapsed: 0.051 s
% 1.27/0.61 % (10595)Instructions burned: 127 (million)
% 1.27/0.61 % (10595)------------------------------
% 1.27/0.61 % (10595)------------------------------
% 1.27/0.62 % (10599)Instruction limit reached!
% 1.27/0.62 % (10599)------------------------------
% 1.27/0.62 % (10599)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.27/0.62 % (10599)Termination reason: Unknown
% 1.27/0.62 % (10599)Termination phase: Function definition elimination
% 1.27/0.62
% 1.27/0.62 % (10599)Memory used [KB]: 2046
% 1.27/0.62 % (10599)Time elapsed: 0.026 s
% 1.27/0.62 % (10599)Instructions burned: 90 (million)
% 1.27/0.62 % (10599)------------------------------
% 1.27/0.62 % (10599)------------------------------
% 1.27/0.62 % (10588)Instruction limit reached!
% 1.27/0.62 % (10588)------------------------------
% 1.27/0.62 % (10588)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.27/0.62 % (10588)Termination reason: Unknown
% 1.27/0.62 % (10588)Termination phase: Function definition elimination
% 1.27/0.62
% 1.27/0.62 % (10588)Memory used [KB]: 2046
% 1.27/0.62 % (10588)Time elapsed: 0.114 s
% 1.27/0.62 % (10588)Instructions burned: 382 (million)
% 1.27/0.62 % (10588)------------------------------
% 1.27/0.62 % (10588)------------------------------
% 1.27/0.62 % (10600)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)
% 1.27/0.62 % (10603)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)
% 1.27/0.62 % (10601)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)
% 1.27/0.63 % (10602)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)
% 1.27/0.64 % (10601)Instruction limit reached!
% 1.27/0.64 % (10601)------------------------------
% 1.27/0.64 % (10601)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.27/0.64 % (10601)Termination reason: Unknown
% 1.27/0.64 % (10601)Termination phase: Property scanning
% 1.27/0.64
% 1.27/0.64 % (10601)Memory used [KB]: 1791
% 1.27/0.64 % (10601)Time elapsed: 0.013 s
% 1.27/0.64 % (10601)Instructions burned: 39 (million)
% 1.27/0.64 % (10601)------------------------------
% 1.27/0.64 % (10601)------------------------------
% 1.27/0.64 % (10603)Instruction limit reached!
% 1.27/0.64 % (10603)------------------------------
% 1.27/0.64 % (10603)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.27/0.64 % (10603)Termination reason: Unknown
% 1.27/0.64 % (10603)Termination phase: shuffling
% 1.27/0.64
% 1.27/0.64 % (10603)Memory used [KB]: 1791
% 1.27/0.64 % (10603)Time elapsed: 0.014 s
% 1.27/0.64 % (10603)Instructions burned: 47 (million)
% 1.27/0.64 % (10603)------------------------------
% 1.27/0.64 % (10603)------------------------------
% 1.77/0.65 % (10604)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)
% 1.77/0.65 % (10605)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)
% 1.77/0.67 % (10600)Instruction limit reached!
% 1.77/0.67 % (10600)------------------------------
% 1.77/0.67 % (10600)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.77/0.67 % (10600)Termination reason: Unknown
% 1.77/0.67 % (10600)Termination phase: Saturation
% 1.77/0.67
% 1.77/0.67 % (10600)Memory used [KB]: 6652
% 1.77/0.67 % (10600)Time elapsed: 0.050 s
% 1.77/0.67 % (10600)Instructions burned: 108 (million)
% 1.77/0.67 % (10600)------------------------------
% 1.77/0.67 % (10600)------------------------------
% 1.77/0.67 % (10604)Instruction limit reached!
% 1.77/0.67 % (10604)------------------------------
% 1.77/0.67 % (10604)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.77/0.67 % (10604)Termination reason: Unknown
% 1.77/0.67 % (10604)Termination phase: Function definition elimination
% 1.77/0.67
% 1.77/0.67 % (10604)Memory used [KB]: 2046
% 1.77/0.67 % (10604)Time elapsed: 0.027 s
% 1.77/0.67 % (10604)Instructions burned: 100 (million)
% 1.77/0.67 % (10604)------------------------------
% 1.77/0.67 % (10604)------------------------------
% 1.97/0.68 % (10607)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 1.97/0.68 % (10606)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 (2997ds/149Mi)
% 1.97/0.69 % (10607)Instruction limit reached!
% 1.97/0.69 % (10607)------------------------------
% 1.97/0.69 % (10607)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.97/0.69 % (10607)Termination reason: Unknown
% 1.97/0.69 % (10607)Termination phase: Preprocessing 3
% 1.97/0.69
% 1.97/0.69 % (10607)Memory used [KB]: 1791
% 1.97/0.69 % (10607)Time elapsed: 0.014 s
% 1.97/0.69 % (10607)Instructions burned: 39 (million)
% 1.97/0.69 % (10607)------------------------------
% 1.97/0.69 % (10607)------------------------------
% 1.97/0.70 % (10608)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)
% 1.97/0.70 % (10608)Instruction limit reached!
% 1.97/0.70 % (10608)------------------------------
% 1.97/0.70 % (10608)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.97/0.70 % (10608)Termination reason: Unknown
% 1.97/0.70 % (10608)Termination phase: shuffling
% 1.97/0.70
% 1.97/0.70 % (10608)Memory used [KB]: 1407
% 1.97/0.70 % (10608)Time elapsed: 0.004 s
% 1.97/0.70 % (10608)Instructions burned: 6 (million)
% 1.97/0.70 % (10608)------------------------------
% 1.97/0.70 % (10608)------------------------------
% 1.97/0.71 % (10573)Instruction limit reached!
% 1.97/0.71 % (10573)------------------------------
% 1.97/0.71 % (10573)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.97/0.71 % (10573)Termination reason: Unknown
% 1.97/0.71 % (10573)Termination phase: Property scanning
% 1.97/0.71
% 1.97/0.71 % (10573)Memory used [KB]: 2174
% 1.97/0.71 % (10573)Time elapsed: 0.263 s
% 1.97/0.71 % (10573)Instructions burned: 1045 (million)
% 1.97/0.71 % (10573)------------------------------
% 1.97/0.71 % (10573)------------------------------
% 1.97/0.71 % (10582)Instruction limit reached!
% 1.97/0.71 % (10582)------------------------------
% 1.97/0.71 % (10582)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.97/0.71 % (10582)Termination reason: Unknown
% 1.97/0.71 % (10582)Termination phase: Saturation
% 1.97/0.71
% 1.97/0.71 % (10582)Memory used [KB]: 7036
% 1.97/0.71 % (10582)Time elapsed: 0.230 s
% 1.97/0.71 % (10582)Instructions burned: 710 (million)
% 1.97/0.71 % (10582)------------------------------
% 1.97/0.71 % (10582)------------------------------
% 1.97/0.71 % (10609)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)
% 1.97/0.72 % (10610)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on theBenchmark for (2996ds/47Mi)
% 1.97/0.72 % (10611)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 (2996ds/44Mi)
% 1.97/0.73 % (10610)Instruction limit reached!
% 1.97/0.73 % (10610)------------------------------
% 1.97/0.73 % (10610)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 1.97/0.73 % (10610)Termination reason: Unknown
% 1.97/0.73 % (10610)Termination phase: Property scanning
% 1.97/0.73
% 1.97/0.73 % (10610)Memory used [KB]: 1791
% 1.97/0.73 % (10610)Time elapsed: 0.014 s
% 1.97/0.73 % (10610)Instructions burned: 48 (million)
% 1.97/0.73 % (10610)------------------------------
% 1.97/0.73 % (10610)------------------------------
% 2.17/0.73 % (10611)Instruction limit reached!
% 2.17/0.73 % (10611)------------------------------
% 2.17/0.73 % (10611)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.17/0.73 % (10611)Termination reason: Unknown
% 2.17/0.73 % (10611)Termination phase: SInE selection
% 2.17/0.73
% 2.17/0.73 % (10611)Memory used [KB]: 1791
% 2.17/0.73 % (10611)Time elapsed: 0.015 s
% 2.17/0.73 % (10611)Instructions burned: 46 (million)
% 2.17/0.73 % (10611)------------------------------
% 2.17/0.73 % (10611)------------------------------
% 2.17/0.74 % (10606)Instruction limit reached!
% 2.17/0.74 % (10606)------------------------------
% 2.17/0.74 % (10606)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.17/0.74 % (10606)Termination reason: Unknown
% 2.17/0.74 % (10606)Termination phase: Function definition elimination
% 2.17/0.74
% 2.17/0.74 % (10606)Memory used [KB]: 2046
% 2.17/0.74 % (10606)Time elapsed: 0.057 s
% 2.17/0.74 % (10606)Instructions burned: 150 (million)
% 2.17/0.74 % (10606)------------------------------
% 2.17/0.74 % (10606)------------------------------
% 2.17/0.74 % (10612)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 (2996ds/432Mi)
% 2.17/0.74 % (10589)First to succeed.
% 2.17/0.74 % (10589)Refutation found. Thanks to Tanya!
% 2.17/0.74 % SZS status Theorem for theBenchmark
% 2.17/0.74 % SZS output start Proof for theBenchmark
% 2.17/0.74 thf(func_def_0, type, is_of: $i > ($i > $o) > $o).
% 2.17/0.74 thf(func_def_2, type, all_of: ($i > $o) > ($i > $o) > $o).
% 2.17/0.74 thf(func_def_3, type, eps: ($i > $o) > $i).
% 2.17/0.74 thf(func_def_4, type, in: $i > $i > $o).
% 2.17/0.74 thf(func_def_5, type, d_Subq: $i > $i > $o).
% 2.17/0.74 thf(func_def_7, type, union: $i > $i).
% 2.17/0.74 thf(func_def_8, type, power: $i > $i).
% 2.17/0.74 thf(func_def_9, type, repl: $i > ($i > $i) > $i).
% 2.17/0.74 thf(func_def_10, type, d_Union_closed: $i > $o).
% 2.17/0.74 thf(func_def_11, type, d_Power_closed: $i > $o).
% 2.17/0.74 thf(func_def_12, type, d_Repl_closed: $i > $o).
% 2.17/0.74 thf(func_def_13, type, d_ZF_closed: $i > $o).
% 2.17/0.74 thf(func_def_14, type, univof: $i > $i).
% 2.17/0.74 thf(func_def_15, type, if: $o > $i > $i > $i).
% 2.17/0.74 thf(func_def_16, type, nIn: $i > $i > $o).
% 2.17/0.74 thf(func_def_17, type, d_UPair: $i > $i > $i).
% 2.17/0.74 thf(func_def_18, type, d_Sing: $i > $i).
% 2.17/0.74 thf(func_def_19, type, binunion: $i > $i > $i).
% 2.17/0.74 thf(func_def_20, type, famunion: $i > ($i > $i) > $i).
% 2.17/0.74 thf(func_def_21, type, d_Sep: $i > ($i > $o) > $i).
% 2.17/0.74 thf(func_def_22, type, d_ReplSep: $i > ($i > $o) > ($i > $i) > $i).
% 2.17/0.74 thf(func_def_23, type, setminus: $i > $i > $i).
% 2.17/0.74 thf(func_def_24, type, d_In_rec_G: ($i > ($i > $i) > $i) > $i > $i > $o).
% 2.17/0.74 thf(func_def_25, type, d_In_rec: ($i > ($i > $i) > $i) > $i > $i).
% 2.17/0.74 thf(func_def_26, type, ordsucc: $i > $i).
% 2.17/0.74 thf(func_def_27, type, nat_p: $i > $o).
% 2.17/0.74 thf(func_def_29, type, d_Inj1: $i > $i).
% 2.17/0.74 thf(func_def_30, type, d_Inj0: $i > $i).
% 2.17/0.74 thf(func_def_31, type, d_Unj: $i > $i).
% 2.17/0.74 thf(func_def_32, type, pair: $i > $i > $i).
% 2.17/0.74 thf(func_def_33, type, proj0: $i > $i).
% 2.17/0.74 thf(func_def_34, type, proj1: $i > $i).
% 2.17/0.74 thf(func_def_35, type, d_Sigma: $i > ($i > $i) > $i).
% 2.17/0.74 thf(func_def_36, type, setprod: $i > $i > $i).
% 2.17/0.74 thf(func_def_37, type, ap: $i > $i > $i).
% 2.17/0.74 thf(func_def_38, type, pair_p: $i > $o).
% 2.17/0.74 thf(func_def_39, type, d_Pi: $i > ($i > $i) > $i).
% 2.17/0.74 thf(func_def_40, type, imp: $o > $o > $o).
% 2.17/0.74 thf(func_def_41, type, d_not: $o > $o).
% 2.17/0.74 thf(func_def_42, type, wel: $o > $o).
% 2.17/0.74 thf(func_def_44, type, l_ec: $o > $o > $o).
% 2.17/0.74 thf(func_def_45, type, d_and: $o > $o > $o).
% 2.17/0.74 thf(func_def_46, type, l_or: $o > $o > $o).
% 2.17/0.74 thf(func_def_47, type, orec: $o > $o > $o).
% 2.17/0.74 thf(func_def_48, type, l_iff: $o > $o > $o).
% 2.17/0.74 thf(func_def_49, type, all: $i > ($i > $o) > $o).
% 2.17/0.74 thf(func_def_50, type, non: $i > ($i > $o) > $i > $o).
% 2.17/0.74 thf(func_def_51, type, l_some: $i > ($i > $o) > $o).
% 2.17/0.74 thf(func_def_52, type, or3: $o > $o > $o > $o).
% 2.17/0.74 thf(func_def_53, type, and3: $o > $o > $o > $o).
% 2.17/0.74 thf(func_def_54, type, ec3: $o > $o > $o > $o).
% 2.17/0.74 thf(func_def_55, type, orec3: $o > $o > $o > $o).
% 2.17/0.74 thf(func_def_56, type, e_is: $i > $i > $i > $o).
% 2.17/0.74 thf(func_def_57, type, amone: $i > ($i > $o) > $o).
% 2.17/0.74 thf(func_def_58, type, one: $i > ($i > $o) > $o).
% 2.17/0.74 thf(func_def_59, type, ind: $i > ($i > $o) > $i).
% 2.17/0.74 thf(func_def_60, type, injective: $i > $i > $i > $o).
% 2.17/0.74 thf(func_def_61, type, image: $i > $i > $i > $i > $o).
% 2.17/0.74 thf(func_def_62, type, tofs: $i > $i > $i > $i > $i).
% 2.17/0.74 thf(func_def_63, type, soft: $i > $i > $i > $i > $i).
% 2.17/0.74 thf(func_def_64, type, inverse: $i > $i > $i > $i).
% 2.17/0.74 thf(func_def_65, type, surjective: $i > $i > $i > $o).
% 2.17/0.74 thf(func_def_66, type, bijective: $i > $i > $i > $o).
% 2.17/0.74 thf(func_def_67, type, invf: $i > $i > $i > $i).
% 2.17/0.74 thf(func_def_68, type, inj_h: $i > $i > $i > $i > $i > $i).
% 2.17/0.74 thf(func_def_69, type, e_in: $i > ($i > $o) > $i > $i).
% 2.17/0.74 thf(func_def_70, type, out: $i > ($i > $o) > $i > $i).
% 2.17/0.74 thf(func_def_71, type, d_pair: $i > $i > $i > $i > $i).
% 2.17/0.74 thf(func_def_72, type, first: $i > $i > $i > $i).
% 2.17/0.74 thf(func_def_73, type, second: $i > $i > $i > $i).
% 2.17/0.74 thf(func_def_74, type, prop1: $o > $i > $i > $i > $i > $o).
% 2.17/0.74 thf(func_def_75, type, ite: $o > $i > $i > $i > $i).
% 2.17/0.74 thf(func_def_76, type, wissel_wa: $i > $i > $i > $i > $i).
% 2.17/0.74 thf(func_def_77, type, wissel_wb: $i > $i > $i > $i > $i).
% 2.17/0.74 thf(func_def_78, type, wissel: $i > $i > $i > $i).
% 2.17/0.74 thf(func_def_79, type, changef: $i > $i > $i > $i > $i > $i).
% 2.17/0.74 thf(func_def_80, type, r_ec: $o > $o > $o).
% 2.17/0.74 thf(func_def_81, type, esti: $i > $i > $i > $o).
% 2.17/0.74 thf(func_def_82, type, empty: $i > $i > $o).
% 2.17/0.74 thf(func_def_83, type, nonempty: $i > $i > $o).
% 2.17/0.74 thf(func_def_84, type, incl: $i > $i > $i > $o).
% 2.17/0.74 thf(func_def_85, type, st_disj: $i > $i > $i > $o).
% 2.17/0.74 thf(func_def_86, type, nissetprop: $i > $i > $i > $i > $o).
% 2.17/0.74 thf(func_def_87, type, unmore: $i > $i > $i > $i).
% 2.17/0.74 thf(func_def_88, type, ecelt: $i > ($i > $i > $o) > $i > $i).
% 2.17/0.74 thf(func_def_89, type, ecp: $i > ($i > $i > $o) > $i > $i > $o).
% 2.17/0.74 thf(func_def_90, type, anec: $i > ($i > $i > $o) > $i > $o).
% 2.17/0.74 thf(func_def_91, type, ect: $i > ($i > $i > $o) > $i).
% 2.17/0.74 thf(func_def_92, type, ectset: $i > ($i > $i > $o) > $i > $i).
% 2.17/0.74 thf(func_def_93, type, ectelt: $i > ($i > $i > $o) > $i > $i).
% 2.17/0.74 thf(func_def_94, type, ecect: $i > ($i > $i > $o) > $i > $i).
% 2.17/0.74 thf(func_def_95, type, fixfu: $i > ($i > $i > $o) > $i > $i > $o).
% 2.17/0.74 thf(func_def_96, type, d_10_prop1: $i > ($i > $i > $o) > $i > $i > $i > $i > $i > $o).
% 2.17/0.74 thf(func_def_97, type, prop2: $i > ($i > $i > $o) > $i > $i > $i > $i > $o).
% 2.17/0.74 thf(func_def_98, type, indeq: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 2.17/0.74 thf(func_def_99, type, fixfu2: $i > ($i > $i > $o) > $i > $i > $o).
% 2.17/0.74 thf(func_def_100, type, d_11_i: $i > ($i > $i > $o) > $i > $i > $i > $i).
% 2.17/0.74 thf(func_def_101, type, indeq2: $i > ($i > $i > $o) > $i > $i > $i > $i > $i).
% 2.17/0.74 thf(func_def_103, type, n_is: $i > $i > $o).
% 2.17/0.74 thf(func_def_104, type, nis: $i > $i > $o).
% 2.17/0.74 thf(func_def_105, type, n_in: $i > $i > $o).
% 2.17/0.74 thf(func_def_106, type, n_some: ($i > $o) > $o).
% 2.17/0.74 thf(func_def_107, type, n_all: ($i > $o) > $o).
% 2.17/0.74 thf(func_def_108, type, n_one: ($i > $o) > $o).
% 2.17/0.74 thf(func_def_110, type, cond1: $i > $o).
% 2.17/0.74 thf(func_def_111, type, cond2: $i > $o).
% 2.17/0.74 thf(func_def_112, type, i1_s: ($i > $o) > $i).
% 2.17/0.74 thf(func_def_113, type, d_22_prop1: $i > $o).
% 2.17/0.74 thf(func_def_114, type, d_23_prop1: $i > $o).
% 2.17/0.74 thf(func_def_115, type, d_24_prop1: $i > $o).
% 2.17/0.74 thf(func_def_116, type, d_24_prop2: $i > $i > $o).
% 2.17/0.74 thf(func_def_117, type, prop3: $i > $i > $i > $o).
% 2.17/0.74 thf(func_def_118, type, prop4: $i > $o).
% 2.17/0.74 thf(func_def_119, type, d_24_g: $i > $i).
% 2.17/0.74 thf(func_def_120, type, plus: $i > $i).
% 2.17/0.74 thf(func_def_121, type, n_pl: $i > $i > $i).
% 2.17/0.74 thf(func_def_122, type, d_25_prop1: $i > $i > $i > $o).
% 2.17/0.74 thf(func_def_123, type, d_26_prop1: $i > $i > $o).
% 2.17/0.74 thf(func_def_124, type, d_27_prop1: $i > $i > $o).
% 2.17/0.74 thf(func_def_125, type, d_28_prop1: $i > $i > $i > $o).
% 2.17/0.74 thf(func_def_126, type, diffprop: $i > $i > $i > $o).
% 2.17/0.74 thf(func_def_127, type, d_29_ii: $i > $i > $o).
% 2.17/0.74 thf(func_def_128, type, iii: $i > $i > $o).
% 2.17/0.74 thf(func_def_129, type, d_29_prop1: $i > $i > $o).
% 2.17/0.74 thf(func_def_130, type, moreis: $i > $i > $o).
% 2.17/0.74 thf(func_def_131, type, lessis: $i > $i > $o).
% 2.17/0.74 thf(func_def_152, type, sK1: ($i > $i) > ($i > $i) > $i > $i).
% 2.17/0.74 thf(func_def_157, type, sK6: ($i > $o) > $i).
% 2.17/0.74 thf(func_def_158, type, ph7: !>[X0: $tType]:(X0)).
% 2.17/0.74 thf(f2569,plain,(
% 2.17/0.74 $false),
% 2.17/0.74 inference(trivial_inequality_removal,[],[f2563])).
% 2.17/0.74 thf(f2563,plain,(
% 2.17/0.74 ($false = $true)),
% 2.17/0.74 inference(backward_demodulation,[],[f1040,f2550])).
% 2.17/0.74 thf(f2550,plain,(
% 2.17/0.74 ($false = (d_29_ii @ sK4 @ sK5))),
% 2.17/0.74 inference(trivial_inequality_removal,[],[f2549])).
% 2.17/0.74 thf(f2549,plain,(
% 2.17/0.74 ($false = $true) | ($false = (d_29_ii @ sK4 @ sK5))),
% 2.17/0.74 inference(forward_demodulation,[],[f2548,f1024])).
% 2.17/0.74 thf(f1024,plain,(
% 2.17/0.74 ($true = (in @ sK2 @ nat))),
% 2.17/0.74 inference(binary_proxy_clausification,[],[f1022])).
% 2.17/0.74 thf(f1022,plain,(
% 2.17/0.74 ($false = ((in @ sK2 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((sK2 = Y0) => ((d_29_ii @ Y1 @ Y2) => (d_29_ii @ (n_pl @ sK2 @ Y1) @ (n_pl @ Y0 @ Y2)))))))))))))))),
% 2.17/0.74 inference(beta_eta_normalization,[],[f1021])).
% 2.17/0.74 thf(f1021,plain,(
% 2.17/0.74 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ nat) => ((Y0 = Y1) => ((d_29_ii @ Y2 @ Y3) => (d_29_ii @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y3))))))))))))))) @ sK2))),
% 2.17/0.74 inference(sigma_clausification,[],[f1020])).
% 2.17/0.74 thf(f1020,plain,(
% 2.17/0.74 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ nat) => ((Y0 = Y1) => ((d_29_ii @ Y2 @ Y3) => (d_29_ii @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y3)))))))))))))))))),
% 2.17/0.74 inference(not_proxy_clausification,[],[f746])).
% 2.17/0.74 thf(f746,plain,(
% 2.17/0.74 ($true = (~ (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => (!! @ $i @ (^[Y3 : $i]: ((in @ Y3 @ nat) => ((Y0 = Y1) => ((d_29_ii @ Y2 @ Y3) => (d_29_ii @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y3))))))))))))))))))),
% 2.17/0.74 inference(beta_eta_normalization,[],[f699])).
% 2.17/0.74 thf(f699,plain,(
% 2.17/0.74 ($true = (~ ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: (!! @ $i @ (^[Y4 : $i]: (((^[Y5 : $i]: ((^[Y6 : $i > $o]: (Y6 @ Y5)))) @ Y4 @ Y2) => (Y3 @ Y4))))))) @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((^[Y3 : $i > $o]: ((^[Y4 : $i > $o]: (!! @ $i @ (^[Y5 : $i]: (((^[Y6 : $i]: ((^[Y7 : $i > $o]: (Y7 @ Y6)))) @ Y5 @ Y3) => (Y4 @ Y5))))))) @ (^[Y3 : $i]: (in @ Y3 @ nat)) @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i]: ((^[Y6 : $i]: (Y5 = Y6)))))) @ nat @ Y0 @ Y1) => ((d_29_ii @ Y2 @ Y3) => (d_29_ii @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y3))))))))))))))),
% 2.17/0.74 inference(definition_unfolding,[],[f638,f692,f692,f692,f692,f690])).
% 2.17/0.74 thf(f690,plain,(
% 2.17/0.74 (n_is = ((^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))) @ nat))),
% 2.17/0.74 inference(definition_unfolding,[],[f659,f643])).
% 2.17/0.74 thf(f643,plain,(
% 2.17/0.74 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 2.17/0.74 inference(cnf_transformation,[],[f254])).
% 2.17/0.74 thf(f254,plain,(
% 2.17/0.74 (e_is = (^[Y0 : $i]: ((^[Y1 : $i]: ((^[Y2 : $i]: (Y1 = Y2)))))))),
% 2.17/0.74 inference(fool_elimination,[],[f253])).
% 2.17/0.74 thf(f253,plain,(
% 2.17/0.74 ((^[X0 : $i, X1 : $i, X2 : $i] : ((X1 = X2))) = e_is)),
% 2.17/0.74 inference(rectify,[],[f91])).
% 2.17/0.74 thf(f91,axiom,(
% 2.17/0.74 ((^[X0 : $i, X7 : $i, X8 : $i] : ((X7 = X8))) = e_is)),
% 2.17/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_e_is)).
% 2.17/0.74 thf(f659,plain,(
% 2.17/0.74 (n_is = (e_is @ nat))),
% 2.17/0.74 inference(cnf_transformation,[],[f287])).
% 2.17/0.74 thf(f287,plain,(
% 2.17/0.74 (n_is = (e_is @ nat))),
% 2.17/0.74 inference(fool_elimination,[],[f157])).
% 2.17/0.74 thf(f157,axiom,(
% 2.17/0.74 (n_is = (e_is @ nat))),
% 2.17/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_n_is)).
% 2.17/0.74 thf(f692,plain,(
% 2.17/0.74 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 2.17/0.74 inference(definition_unfolding,[],[f685,f632])).
% 2.17/0.74 thf(f632,plain,(
% 2.17/0.74 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 2.17/0.74 inference(cnf_transformation,[],[f556])).
% 2.17/0.74 thf(f556,plain,(
% 2.17/0.74 (is_of = (^[Y0 : $i]: ((^[Y1 : $i > $o]: (Y1 @ Y0)))))),
% 2.17/0.74 inference(fool_elimination,[],[f1])).
% 2.17/0.74 thf(f1,axiom,(
% 2.17/0.74 (is_of = (^[X0 : $i, X1 : $i > $o] : (X1 @ X0)))),
% 2.17/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_is_of)).
% 2.17/0.74 thf(f685,plain,(
% 2.17/0.74 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 2.17/0.74 inference(cnf_transformation,[],[f306])).
% 2.17/0.74 thf(f306,plain,(
% 2.17/0.74 (all_of = (^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: ((is_of @ Y2 @ Y0) => (Y1 @ Y2))))))))),
% 2.17/0.74 inference(fool_elimination,[],[f305])).
% 2.17/0.74 thf(f305,plain,(
% 2.17/0.74 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
% 2.17/0.74 inference(rectify,[],[f2])).
% 2.17/0.74 thf(f2,axiom,(
% 2.17/0.74 (all_of = (^[X0 : $i > $o, X1 : $i > $o] : (! [X2] : ((is_of @ X2 @ X0) => (X1 @ X2)))))),
% 2.17/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_all_of)).
% 2.17/0.74 thf(f638,plain,(
% 2.17/0.74 ((~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: (all_of @ (^[Y3 : $i]: (in @ Y3 @ nat)) @ (^[Y3 : $i]: ((n_is @ Y0 @ Y1) => ((d_29_ii @ Y2 @ Y3) => (d_29_ii @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y3))))))))))))) = $true)),
% 2.17/0.74 inference(cnf_transformation,[],[f389])).
% 2.17/0.74 thf(f389,plain,(
% 2.17/0.74 ((~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: (all_of @ (^[Y3 : $i]: (in @ Y3 @ nat)) @ (^[Y3 : $i]: ((n_is @ Y0 @ Y1) => ((d_29_ii @ Y2 @ Y3) => (d_29_ii @ (n_pl @ Y0 @ Y2) @ (n_pl @ Y1 @ Y3))))))))))))) = $true)),
% 2.17/0.74 inference(fool_elimination,[],[f388])).
% 2.17/0.74 thf(f388,plain,(
% 2.17/0.74 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : (all_of @ (^[X4 : $i] : (in @ X4 @ nat)) @ (^[X5 : $i] : (all_of @ (^[X6 : $i] : (in @ X6 @ nat)) @ (^[X7 : $i] : ((n_is @ X1 @ X3) => ((d_29_ii @ X5 @ X7) => (d_29_ii @ (n_pl @ X1 @ X5) @ (n_pl @ X3 @ X7))))))))))))),
% 2.17/0.74 inference(rectify,[],[f245])).
% 2.17/0.74 thf(f245,negated_conjecture,(
% 2.17/0.74 ~(all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X2 : $i] : (all_of @ (^[X3 : $i] : (in @ X3 @ nat)) @ (^[X3 : $i] : ((n_is @ X0 @ X1) => ((d_29_ii @ X2 @ X3) => (d_29_ii @ (n_pl @ X0 @ X2) @ (n_pl @ X1 @ X3))))))))))))),
% 2.17/0.74 inference(negated_conjecture,[],[f244])).
% 2.17/0.74 thf(f244,conjecture,(
% 2.17/0.74 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X2 : $i] : (all_of @ (^[X3 : $i] : (in @ X3 @ nat)) @ (^[X3 : $i] : ((n_is @ X0 @ X1) => ((d_29_ii @ X2 @ X3) => (d_29_ii @ (n_pl @ X0 @ X2) @ (n_pl @ X1 @ X3))))))))))))),
% 2.17/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz19g)).
% 2.17/0.74 thf(f2548,plain,(
% 2.17/0.74 ($false = (d_29_ii @ sK4 @ sK5)) | ($false = (in @ sK2 @ nat))),
% 2.17/0.74 inference(trivial_inequality_removal,[],[f2547])).
% 2.17/0.74 thf(f2547,plain,(
% 2.17/0.74 ($false = $true) | ($false = (d_29_ii @ sK4 @ sK5)) | ($false = (in @ sK2 @ nat))),
% 2.17/0.74 inference(forward_demodulation,[],[f2546,f1032])).
% 2.17/0.74 thf(f1032,plain,(
% 2.17/0.74 ($true = (in @ sK4 @ nat))),
% 2.17/0.74 inference(binary_proxy_clausification,[],[f1030])).
% 2.17/0.74 thf(f1030,plain,(
% 2.17/0.74 ($false = ((in @ sK4 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((sK2 = sK3) => ((d_29_ii @ sK4 @ Y0) => (d_29_ii @ (n_pl @ sK2 @ sK4) @ (n_pl @ sK3 @ Y0)))))))))),
% 2.17/0.74 inference(beta_eta_normalization,[],[f1029])).
% 2.17/0.74 thf(f1029,plain,(
% 2.17/0.74 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((sK2 = sK3) => ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ sK2 @ Y0) @ (n_pl @ sK3 @ Y1))))))))) @ sK4))),
% 2.17/0.74 inference(sigma_clausification,[],[f1027])).
% 2.17/0.74 thf(f1027,plain,(
% 2.17/0.74 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((sK2 = sK3) => ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ sK2 @ Y0) @ (n_pl @ sK3 @ Y1)))))))))))),
% 2.17/0.74 inference(binary_proxy_clausification,[],[f1026])).
% 2.17/0.74 thf(f1026,plain,(
% 2.17/0.74 ($false = ((in @ sK3 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((sK2 = sK3) => ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ sK2 @ Y0) @ (n_pl @ sK3 @ Y1))))))))))))),
% 2.17/0.74 inference(beta_eta_normalization,[],[f1025])).
% 2.17/0.74 thf(f1025,plain,(
% 2.17/0.74 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((sK2 = Y0) => ((d_29_ii @ Y1 @ Y2) => (d_29_ii @ (n_pl @ sK2 @ Y1) @ (n_pl @ Y0 @ Y2)))))))))))) @ sK3))),
% 2.17/0.74 inference(sigma_clausification,[],[f1023])).
% 2.17/0.74 thf(f1023,plain,(
% 2.17/0.74 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((sK2 = Y0) => ((d_29_ii @ Y1 @ Y2) => (d_29_ii @ (n_pl @ sK2 @ Y1) @ (n_pl @ Y0 @ Y2))))))))))))))),
% 2.17/0.74 inference(binary_proxy_clausification,[],[f1022])).
% 2.17/0.74 thf(f2546,plain,(
% 2.17/0.74 ($false = (in @ sK4 @ nat)) | ($false = (d_29_ii @ sK4 @ sK5)) | ($false = (in @ sK2 @ nat))),
% 2.17/0.74 inference(trivial_inequality_removal,[],[f2545])).
% 2.17/0.74 thf(f2545,plain,(
% 2.17/0.74 ($false = $true) | ($false = (in @ sK4 @ nat)) | ($false = (in @ sK2 @ nat)) | ($false = (d_29_ii @ sK4 @ sK5))),
% 2.17/0.74 inference(forward_demodulation,[],[f2538,f1036])).
% 2.17/0.74 thf(f1036,plain,(
% 2.17/0.74 ($true = (in @ sK5 @ nat))),
% 2.17/0.74 inference(binary_proxy_clausification,[],[f1034])).
% 2.17/0.74 thf(f1034,plain,(
% 2.17/0.74 ($false = ((in @ sK5 @ nat) => ((sK2 = sK3) => ((d_29_ii @ sK4 @ sK5) => (d_29_ii @ (n_pl @ sK2 @ sK4) @ (n_pl @ sK3 @ sK5))))))),
% 2.17/0.74 inference(beta_eta_normalization,[],[f1033])).
% 2.17/0.74 thf(f1033,plain,(
% 2.17/0.74 ($false = ((^[Y0 : $i]: ((in @ Y0 @ nat) => ((sK2 = sK3) => ((d_29_ii @ sK4 @ Y0) => (d_29_ii @ (n_pl @ sK2 @ sK4) @ (n_pl @ sK3 @ Y0)))))) @ sK5))),
% 2.17/0.74 inference(sigma_clausification,[],[f1031])).
% 2.17/0.74 thf(f1031,plain,(
% 2.17/0.74 ($false = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((sK2 = sK3) => ((d_29_ii @ sK4 @ Y0) => (d_29_ii @ (n_pl @ sK2 @ sK4) @ (n_pl @ sK3 @ Y0))))))))),
% 2.17/0.74 inference(binary_proxy_clausification,[],[f1030])).
% 2.17/0.74 thf(f2538,plain,(
% 2.17/0.74 ($false = (in @ sK5 @ nat)) | ($false = (in @ sK4 @ nat)) | ($false = (in @ sK2 @ nat)) | ($false = (d_29_ii @ sK4 @ sK5))),
% 2.17/0.74 inference(trivial_inequality_removal,[],[f2509])).
% 2.17/0.74 thf(f2509,plain,(
% 2.17/0.74 ($false = (in @ sK5 @ nat)) | ($false = (in @ sK4 @ nat)) | ($false = (in @ sK2 @ nat)) | ($false = $true) | ($false = (d_29_ii @ sK4 @ sK5))),
% 2.17/0.74 inference(superposition,[],[f870,f1261])).
% 2.17/0.74 thf(f1261,plain,(
% 2.17/0.74 ($false = (d_29_ii @ (n_pl @ sK2 @ sK4) @ (n_pl @ sK2 @ sK5)))),
% 2.17/0.74 inference(forward_demodulation,[],[f1039,f1041])).
% 2.17/0.74 thf(f1041,plain,(
% 2.17/0.74 (sK3 = sK2)),
% 2.17/0.74 inference(equality_proxy_clausification,[],[f1038])).
% 2.17/0.74 thf(f1038,plain,(
% 2.17/0.74 ($true = (sK2 = sK3))),
% 2.17/0.74 inference(binary_proxy_clausification,[],[f1035])).
% 2.17/0.74 thf(f1035,plain,(
% 2.17/0.74 ($false = ((sK2 = sK3) => ((d_29_ii @ sK4 @ sK5) => (d_29_ii @ (n_pl @ sK2 @ sK4) @ (n_pl @ sK3 @ sK5)))))),
% 2.17/0.74 inference(binary_proxy_clausification,[],[f1034])).
% 2.17/0.74 thf(f1039,plain,(
% 2.17/0.74 ($false = (d_29_ii @ (n_pl @ sK2 @ sK4) @ (n_pl @ sK3 @ sK5)))),
% 2.17/0.74 inference(binary_proxy_clausification,[],[f1037])).
% 2.17/0.74 thf(f1037,plain,(
% 2.17/0.74 ($false = ((d_29_ii @ sK4 @ sK5) => (d_29_ii @ (n_pl @ sK2 @ sK4) @ (n_pl @ sK3 @ sK5))))),
% 2.17/0.74 inference(binary_proxy_clausification,[],[f1035])).
% 2.17/0.74 thf(f870,plain,(
% 2.17/0.74 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = (d_29_ii @ (n_pl @ X3 @ X1) @ (n_pl @ X3 @ X2))) | ((in @ X3 @ nat) = $false) | ((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false) | ((d_29_ii @ X1 @ X2) = $false)) )),
% 2.17/0.74 inference(binary_proxy_clausification,[],[f869])).
% 2.17/0.74 thf(f869,plain,(
% 2.17/0.74 ( ! [X2 : $i,X3 : $i,X1 : $i] : (($true = ((d_29_ii @ X1 @ X2) => (d_29_ii @ (n_pl @ X3 @ X1) @ (n_pl @ X3 @ X2)))) | ((in @ X1 @ nat) = $false) | ((in @ X3 @ nat) = $false) | ((in @ X2 @ nat) = $false)) )),
% 2.17/0.74 inference(binary_proxy_clausification,[],[f868])).
% 2.17/0.74 thf(f868,plain,(
% 2.17/0.74 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | ((in @ X1 @ nat) = $false) | (((in @ X3 @ nat) => ((d_29_ii @ X1 @ X2) => (d_29_ii @ (n_pl @ X3 @ X1) @ (n_pl @ X3 @ X2)))) = $true)) )),
% 2.17/0.74 inference(beta_eta_normalization,[],[f867])).
% 2.17/0.74 thf(f867,plain,(
% 2.17/0.74 ( ! [X2 : $i,X3 : $i,X1 : $i] : (((in @ X2 @ nat) = $false) | (((^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_29_ii @ X1 @ X2) => (d_29_ii @ (n_pl @ Y0 @ X1) @ (n_pl @ Y0 @ X2))))) @ X3) = $true) | ((in @ X1 @ nat) = $false)) )),
% 2.17/0.74 inference(pi_clausification,[],[f866])).
% 2.17/0.74 thf(f866,plain,(
% 2.17/0.74 ( ! [X2 : $i,X1 : $i] : (((in @ X1 @ nat) = $false) | ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_29_ii @ X1 @ X2) => (d_29_ii @ (n_pl @ Y0 @ X1) @ (n_pl @ Y0 @ X2))))))) | ((in @ X2 @ nat) = $false)) )),
% 2.17/0.74 inference(binary_proxy_clausification,[],[f865])).
% 2.17/0.74 thf(f865,plain,(
% 2.17/0.74 ( ! [X2 : $i,X1 : $i] : (($true = ((in @ X2 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => ((d_29_ii @ X1 @ X2) => (d_29_ii @ (n_pl @ Y0 @ X1) @ (n_pl @ Y0 @ X2)))))))) | ((in @ X1 @ nat) = $false)) )),
% 2.17/0.74 inference(beta_eta_normalization,[],[f864])).
% 2.17/0.74 thf(f864,plain,(
% 2.17/0.74 ( ! [X2 : $i,X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_29_ii @ X1 @ Y0) => (d_29_ii @ (n_pl @ Y1 @ X1) @ (n_pl @ Y1 @ Y0)))))))) @ X2)) | ((in @ X1 @ nat) = $false)) )),
% 2.17/0.74 inference(pi_clausification,[],[f863])).
% 2.17/0.74 thf(f863,plain,(
% 2.17/0.74 ( ! [X1 : $i] : (($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_29_ii @ X1 @ Y0) => (d_29_ii @ (n_pl @ Y1 @ X1) @ (n_pl @ Y1 @ Y0)))))))))) | ((in @ X1 @ nat) = $false)) )),
% 2.17/0.74 inference(binary_proxy_clausification,[],[f862])).
% 2.17/0.74 thf(f862,plain,(
% 2.17/0.74 ( ! [X1 : $i] : (($true = ((in @ X1 @ nat) => (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => ((d_29_ii @ X1 @ Y0) => (d_29_ii @ (n_pl @ Y1 @ X1) @ (n_pl @ Y1 @ Y0)))))))))))) )),
% 2.17/0.74 inference(beta_eta_normalization,[],[f861])).
% 2.17/0.74 thf(f861,plain,(
% 2.17/0.74 ( ! [X1 : $i] : (($true = ((^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ Y2 @ Y0) @ (n_pl @ Y2 @ Y1))))))))))) @ X1))) )),
% 2.17/0.74 inference(pi_clausification,[],[f765])).
% 2.17/0.74 thf(f765,plain,(
% 2.17/0.74 ($true = (!! @ $i @ (^[Y0 : $i]: ((in @ Y0 @ nat) => (!! @ $i @ (^[Y1 : $i]: ((in @ Y1 @ nat) => (!! @ $i @ (^[Y2 : $i]: ((in @ Y2 @ nat) => ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ Y2 @ Y0) @ (n_pl @ Y2 @ Y1)))))))))))))),
% 2.17/0.74 inference(beta_eta_normalization,[],[f718])).
% 2.17/0.74 thf(f718,plain,(
% 2.17/0.74 ($true = ((^[Y0 : $i > $o]: ((^[Y1 : $i > $o]: (!! @ $i @ (^[Y2 : $i]: (((^[Y3 : $i]: ((^[Y4 : $i > $o]: (Y4 @ Y3)))) @ Y2 @ Y0) => (Y1 @ Y2))))))) @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: ((^[Y1 : $i > $o]: ((^[Y2 : $i > $o]: (!! @ $i @ (^[Y3 : $i]: (((^[Y4 : $i]: ((^[Y5 : $i > $o]: (Y5 @ Y4)))) @ Y3 @ Y1) => (Y2 @ Y3))))))) @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: ((^[Y2 : $i > $o]: ((^[Y3 : $i > $o]: (!! @ $i @ (^[Y4 : $i]: (((^[Y5 : $i]: ((^[Y6 : $i > $o]: (Y6 @ Y5)))) @ Y4 @ Y2) => (Y3 @ Y4))))))) @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ Y2 @ Y0) @ (n_pl @ Y2 @ Y1))))))))))),
% 2.17/0.74 inference(definition_unfolding,[],[f666,f692,f692,f692])).
% 2.17/0.74 thf(f666,plain,(
% 2.17/0.74 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ Y2 @ Y0) @ (n_pl @ Y2 @ Y1))))))))))),
% 2.17/0.74 inference(cnf_transformation,[],[f490])).
% 2.17/0.74 thf(f490,plain,(
% 2.17/0.74 ($true = (all_of @ (^[Y0 : $i]: (in @ Y0 @ nat)) @ (^[Y0 : $i]: (all_of @ (^[Y1 : $i]: (in @ Y1 @ nat)) @ (^[Y1 : $i]: (all_of @ (^[Y2 : $i]: (in @ Y2 @ nat)) @ (^[Y2 : $i]: ((d_29_ii @ Y0 @ Y1) => (d_29_ii @ (n_pl @ Y2 @ Y0) @ (n_pl @ Y2 @ Y1))))))))))),
% 2.17/0.74 inference(fool_elimination,[],[f489])).
% 2.17/0.74 thf(f489,plain,(
% 2.17/0.74 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X3 : $i] : (all_of @ (^[X4 : $i] : (in @ X4 @ nat)) @ (^[X5 : $i] : ((d_29_ii @ X1 @ X3) => (d_29_ii @ (n_pl @ X5 @ X1) @ (n_pl @ X5 @ X3)))))))))),
% 2.17/0.74 inference(rectify,[],[f241])).
% 2.17/0.74 thf(f241,axiom,(
% 2.17/0.74 (all_of @ (^[X0 : $i] : (in @ X0 @ nat)) @ (^[X0 : $i] : (all_of @ (^[X1 : $i] : (in @ X1 @ nat)) @ (^[X1 : $i] : (all_of @ (^[X2 : $i] : (in @ X2 @ nat)) @ (^[X2 : $i] : ((d_29_ii @ X0 @ X1) => (d_29_ii @ (n_pl @ X2 @ X0) @ (n_pl @ X2 @ X1)))))))))),
% 2.17/0.74 file('/export/starexec/sandbox/benchmark/theBenchmark.p',satz19d)).
% 2.17/0.74 thf(f1040,plain,(
% 2.17/0.74 ($true = (d_29_ii @ sK4 @ sK5))),
% 2.17/0.74 inference(binary_proxy_clausification,[],[f1037])).
% 2.17/0.74 % SZS output end Proof for theBenchmark
% 2.17/0.74 % (10589)------------------------------
% 2.17/0.74 % (10589)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 2.17/0.74 % (10589)Termination reason: Refutation
% 2.17/0.74
% 2.17/0.74 % (10589)Memory used [KB]: 7675
% 2.17/0.74 % (10589)Time elapsed: 0.233 s
% 2.17/0.74 % (10589)Instructions burned: 560 (million)
% 2.17/0.74 % (10589)------------------------------
% 2.17/0.74 % (10589)------------------------------
% 2.17/0.74 % (10561)Success in time 0.363 s
%------------------------------------------------------------------------------