TSTP Solution File: SEV433^1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SEV433^1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 16:03:51 EDT 2024
% Result : Theorem 0.21s 0.42s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV433^1 : TPTP v8.2.0. Released v5.2.0.
% 0.00/0.12 % Command : run_vampire %s %d THM
% 0.11/0.32 % Computer : n025.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
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 21 19:24:24 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.20/0.35 This is a TH0_THM_EQU_NAR problem
% 0.20/0.35 Running higher-order theorem proving
% 0.20/0.35 Running /export/starexec/sandbox2/solver/bin/vampire_ho --cores 7 --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol /export/starexec/sandbox2/benchmark/theBenchmark.p -m 16384 -t 300
% 0.20/0.37 % (10028)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)
% 0.20/0.37 % (10028)Refutation not found, incomplete strategy
% 0.20/0.37 % (10028)------------------------------
% 0.20/0.37 % (10028)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.37 % (10028)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.37
% 0.20/0.37
% 0.20/0.37 % (10028)Memory used [KB]: 5373
% 0.20/0.37 % (10028)Time elapsed: 0.002 s
% 0.20/0.37 % (10028)Instructions burned: 1 (million)
% 0.20/0.37 % (10028)------------------------------
% 0.20/0.37 % (10028)------------------------------
% 0.20/0.37 % (10029)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.20/0.37 % (10024)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)
% 0.20/0.37 % (10023)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.20/0.37 % (10025)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)
% 0.20/0.37 % (10026)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.37 % (10027)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)
% 0.20/0.37 % (10026)Instruction limit reached!
% 0.20/0.37 % (10026)------------------------------
% 0.20/0.37 % (10026)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.37 % (10026)Termination reason: Unknown
% 0.20/0.37 % (10026)Termination phase: Saturation
% 0.20/0.37
% 0.20/0.37 % (10026)Memory used [KB]: 5500
% 0.20/0.37 % (10026)Time elapsed: 0.004 s
% 0.20/0.37 % (10026)Instructions burned: 2 (million)
% 0.20/0.37 % (10026)------------------------------
% 0.20/0.37 % (10026)------------------------------
% 0.20/0.37 % (10027)Instruction limit reached!
% 0.20/0.37 % (10027)------------------------------
% 0.20/0.37 % (10027)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.37 % (10027)Termination reason: Unknown
% 0.20/0.37 % (10027)Termination phase: Saturation
% 0.20/0.37
% 0.20/0.37 % (10027)Memory used [KB]: 5500
% 0.20/0.37 % (10027)Time elapsed: 0.004 s
% 0.20/0.37 % (10027)Instructions burned: 2 (million)
% 0.20/0.37 % (10027)------------------------------
% 0.20/0.37 % (10027)------------------------------
% 0.20/0.37 % (10024)Instruction limit reached!
% 0.20/0.37 % (10024)------------------------------
% 0.20/0.37 % (10024)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.37 % (10024)Termination reason: Unknown
% 0.20/0.37 % (10024)Termination phase: Saturation
% 0.20/0.37
% 0.20/0.37 % (10024)Memory used [KB]: 5500
% 0.20/0.37 % (10024)Time elapsed: 0.006 s
% 0.20/0.37 % (10024)Instructions burned: 5 (million)
% 0.20/0.37 % (10024)------------------------------
% 0.20/0.37 % (10024)------------------------------
% 0.20/0.38 % (10029)Instruction limit reached!
% 0.20/0.38 % (10029)------------------------------
% 0.20/0.38 % (10029)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.38 % (10029)Termination reason: Unknown
% 0.20/0.38 % (10029)Termination phase: Saturation
% 0.20/0.38
% 0.20/0.38 % (10029)Memory used [KB]: 5500
% 0.20/0.38 % (10029)Time elapsed: 0.012 s
% 0.20/0.38 % (10029)Instructions burned: 18 (million)
% 0.20/0.38 % (10029)------------------------------
% 0.20/0.38 % (10029)------------------------------
% 0.20/0.38 % (10030)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)
% 0.20/0.38 % (10030)Refutation not found, incomplete strategy
% 0.20/0.38 % (10030)------------------------------
% 0.20/0.38 % (10030)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.38 % (10030)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.38
% 0.20/0.38
% 0.20/0.38 % (10030)Memory used [KB]: 5500
% 0.20/0.38 % (10030)Time elapsed: 0.002 s
% 0.20/0.38 % (10030)Instructions burned: 1 (million)
% 0.20/0.38 % (10030)------------------------------
% 0.20/0.38 % (10030)------------------------------
% 0.20/0.39 % (10033)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)
% 0.20/0.39 % (10025)Instruction limit reached!
% 0.20/0.39 % (10025)------------------------------
% 0.20/0.39 % (10025)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.39 % (10025)Termination reason: Unknown
% 0.20/0.39 % (10025)Termination phase: Saturation
% 0.20/0.39
% 0.20/0.39 % (10025)Memory used [KB]: 5500
% 0.20/0.39 % (10025)Time elapsed: 0.021 s
% 0.20/0.39 % (10025)Instructions burned: 28 (million)
% 0.20/0.39 % (10025)------------------------------
% 0.20/0.39 % (10025)------------------------------
% 0.20/0.39 % (10031)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)
% 0.20/0.39 % (10032)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)
% 0.20/0.39 % (10032)Refutation not found, incomplete strategy
% 0.20/0.39 % (10032)------------------------------
% 0.20/0.39 % (10032)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.39 % (10032)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.39
% 0.20/0.39
% 0.20/0.39 % (10032)Memory used [KB]: 5500
% 0.20/0.39 % (10032)Time elapsed: 0.003 s
% 0.20/0.39 % (10032)Instructions burned: 1 (million)
% 0.20/0.39 % (10032)------------------------------
% 0.20/0.39 % (10032)------------------------------
% 0.20/0.39 % (10033)Instruction limit reached!
% 0.20/0.39 % (10033)------------------------------
% 0.20/0.39 % (10033)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.39 % (10033)Termination reason: Unknown
% 0.20/0.39 % (10033)Termination phase: Saturation
% 0.20/0.39
% 0.20/0.39 % (10033)Memory used [KB]: 5500
% 0.20/0.39 % (10033)Time elapsed: 0.004 s
% 0.20/0.39 % (10033)Instructions burned: 4 (million)
% 0.20/0.39 % (10033)------------------------------
% 0.20/0.39 % (10033)------------------------------
% 0.20/0.39 % (10034)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)
% 0.20/0.40 % (10035)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.40 % (10036)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.40 % (10035)Instruction limit reached!
% 0.20/0.40 % (10035)------------------------------
% 0.20/0.40 % (10035)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.40 % (10035)Termination reason: Unknown
% 0.20/0.40 % (10038)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)
% 0.20/0.40 % (10035)Termination phase: Saturation
% 0.20/0.40
% 0.20/0.40 % (10035)Memory used [KB]: 1023
% 0.20/0.40 % (10035)Time elapsed: 0.006 s
% 0.20/0.40 % (10035)Instructions burned: 7 (million)
% 0.20/0.40 % (10035)------------------------------
% 0.20/0.40 % (10035)------------------------------
% 0.20/0.41 % (10037)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)
% 0.20/0.41 % (10038)Instruction limit reached!
% 0.20/0.41 % (10038)------------------------------
% 0.20/0.41 % (10038)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.41 % (10038)Termination reason: Unknown
% 0.20/0.41 % (10038)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (10038)Memory used [KB]: 5500
% 0.20/0.41 % (10038)Time elapsed: 0.004 s
% 0.20/0.41 % (10038)Instructions burned: 3 (million)
% 0.20/0.41 % (10038)------------------------------
% 0.20/0.41 % (10038)------------------------------
% 0.20/0.41 % (10037)Refutation not found, incomplete strategy
% 0.20/0.41 % (10037)------------------------------
% 0.20/0.41 % (10037)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.41 % (10037)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.41
% 0.20/0.41
% 0.20/0.41 % (10037)Memory used [KB]: 5500
% 0.20/0.41 % (10037)Time elapsed: 0.002 s
% 0.20/0.41 % (10037)Instructions burned: 1 (million)
% 0.20/0.41 % (10037)------------------------------
% 0.20/0.41 % (10037)------------------------------
% 0.20/0.41 % (10031)Instruction limit reached!
% 0.20/0.41 % (10031)------------------------------
% 0.20/0.41 % (10031)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.41 % (10031)Termination reason: Unknown
% 0.20/0.41 % (10031)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (10031)Memory used [KB]: 5628
% 0.20/0.41 % (10031)Time elapsed: 0.029 s
% 0.20/0.41 % (10031)Instructions burned: 38 (million)
% 0.20/0.41 % (10031)------------------------------
% 0.20/0.41 % (10031)------------------------------
% 0.20/0.41 % (10036)Instruction limit reached!
% 0.20/0.41 % (10036)------------------------------
% 0.20/0.41 % (10036)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.41 % (10036)Termination reason: Unknown
% 0.20/0.41 % (10036)Termination phase: Saturation
% 0.20/0.41
% 0.20/0.41 % (10036)Memory used [KB]: 5500
% 0.20/0.41 % (10036)Time elapsed: 0.014 s
% 0.20/0.41 % (10036)Instructions burned: 16 (million)
% 0.20/0.41 % (10036)------------------------------
% 0.20/0.41 % (10036)------------------------------
% 0.20/0.42 % (10039)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)
% 0.20/0.42 % (10039)Refutation not found, incomplete strategy
% 0.20/0.42 % (10039)------------------------------
% 0.20/0.42 % (10039)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.20/0.42 % (10039)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 % (10039)Memory used [KB]: 5373
% 0.20/0.42 % (10039)Time elapsed: 0.002 s
% 0.20/0.42 % (10039)Instructions burned: 1 (million)
% 0.20/0.42 % (10039)------------------------------
% 0.20/0.42 % (10039)------------------------------
% 0.21/0.42 % (10041)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.42 % (10040)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.42 % (10023)First to succeed.
% 0.21/0.42 % (10041)Instruction limit reached!
% 0.21/0.42 % (10041)------------------------------
% 0.21/0.42 % (10041)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (10041)Termination reason: Unknown
% 0.21/0.42 % (10041)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (10041)Memory used [KB]: 5500
% 0.21/0.42 % (10041)Time elapsed: 0.004 s
% 0.21/0.42 % (10041)Instructions burned: 4 (million)
% 0.21/0.42 % (10041)------------------------------
% 0.21/0.42 % (10041)------------------------------
% 0.21/0.42 % (10040)Instruction limit reached!
% 0.21/0.42 % (10040)------------------------------
% 0.21/0.42 % (10040)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (10040)Termination reason: Unknown
% 0.21/0.42 % (10040)Termination phase: Saturation
% 0.21/0.42
% 0.21/0.42 % (10040)Memory used [KB]: 5500
% 0.21/0.42 % (10040)Time elapsed: 0.004 s
% 0.21/0.42 % (10040)Instructions burned: 3 (million)
% 0.21/0.42 % (10040)------------------------------
% 0.21/0.42 % (10040)------------------------------
% 0.21/0.42 % (10023)Refutation found. Thanks to Tanya!
% 0.21/0.42 % SZS status Theorem for theBenchmark
% 0.21/0.42 % SZS output start Proof for theBenchmark
% 0.21/0.42 thf(func_def_0, type, f: $i > $o).
% 0.21/0.42 thf(f285,plain,(
% 0.21/0.42 $false),
% 0.21/0.42 inference(avatar_sat_refutation,[],[f110,f242,f258,f284])).
% 0.21/0.42 thf(f284,plain,(
% 0.21/0.42 spl3_8 | ~spl3_1),
% 0.21/0.42 inference(avatar_split_clause,[],[f283,f101,f157])).
% 0.21/0.42 thf(f157,plain,(
% 0.21/0.42 spl3_8 <=> ! [X4,X2,X3] : ((X2 = X4) | (X2 = X3) | (X3 = X4))),
% 0.21/0.42 introduced(avatar_definition,[new_symbols(naming,[spl3_8])])).
% 0.21/0.42 thf(f101,plain,(
% 0.21/0.42 spl3_1 <=> ! [X2,X1,X3] : ((X1 = X2) | (X2 = X3) | (X1 = X3) | (sK2 = X1))),
% 0.21/0.42 introduced(avatar_definition,[new_symbols(naming,[spl3_1])])).
% 0.21/0.42 thf(f283,plain,(
% 0.21/0.42 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((X1 = X2) | (X0 = X2) | (X0 = X1)) ) | ~spl3_1),
% 0.21/0.42 inference(subsumption_resolution,[],[f274,f263])).
% 0.21/0.42 thf(f263,plain,(
% 0.21/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X6 : $i,X7 : $i,X4 : $i,X5 : $i] : ((X1 = X2) | (X4 = X6) | (X0 = X4) | (X2 = X3) | (X0 = X1) | (X4 = X5) | (X0 = X7) | (X1 = X3) | (X5 = X6) | (sK2 = X7)) ) | ~spl3_1),
% 0.21/0.42 inference(superposition,[],[f102,f57])).
% 0.21/0.42 thf(f57,plain,(
% 0.21/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : ((X4 = X5) | (X0 = X2) | (X0 = X5) | (X1 = X2) | (X3 = X5) | (X0 = X1) | (X3 = X4)) )),
% 0.21/0.42 inference(trivial_inequality_removal,[],[f49])).
% 0.21/0.42 thf(f49,plain,(
% 0.21/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i,X5 : $i] : ((X3 = X5) | (X0 = X1) | (X0 = X2) | (X4 = X5) | (X0 = X5) | ($false = $true) | (X1 = X2) | (X3 = X4)) )),
% 0.21/0.42 inference(superposition,[],[f35,f45])).
% 0.21/0.42 thf(f45,plain,(
% 0.21/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (((f @ X1) = $true) | (X2 = X3) | (X0 = X2) | (X0 = X1) | (X0 = X3)) )),
% 0.21/0.42 inference(trivial_inequality_removal,[],[f41])).
% 0.21/0.42 thf(f41,plain,(
% 0.21/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : ((X2 = X3) | (X0 = X1) | ($false = $true) | (X0 = X2) | (X0 = X3) | ((f @ X1) = $true)) )),
% 0.21/0.42 inference(superposition,[],[f14,f35])).
% 0.21/0.42 thf(f14,plain,(
% 0.21/0.42 ( ! [X0 : $i,X1 : $i] : (((f @ X1) = $true) | (X0 = X1) | ((f @ X0) = $true)) )),
% 0.21/0.42 inference(binary_proxy_clausification,[],[f10])).
% 0.21/0.42 thf(f10,plain,(
% 0.21/0.42 ( ! [X0 : $i,X1 : $i] : ((X0 = X1) | ((f @ X0) != (f @ X1))) )),
% 0.21/0.42 inference(cnf_transformation,[],[f7])).
% 0.21/0.42 thf(f7,plain,(
% 0.21/0.42 ! [X0,X1] : ((X0 = X1) | ((f @ X0) != (f @ X1)))),
% 0.21/0.42 inference(ennf_transformation,[],[f1])).
% 0.21/0.42 thf(f1,axiom,(
% 0.21/0.42 ! [X1,X0] : (((f @ X0) = (f @ X1)) => (X0 = X1))),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finj)).
% 0.21/0.42 thf(f35,plain,(
% 0.21/0.42 ( ! [X2 : $i,X0 : $i,X1 : $i] : (((f @ X0) = $false) | (X1 = X2) | (X0 = X1) | (X0 = X2)) )),
% 0.21/0.42 inference(trivial_inequality_removal,[],[f32])).
% 0.21/0.42 thf(f32,plain,(
% 0.21/0.42 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((X0 = X2) | (X0 = X1) | (X1 = X2) | ((f @ X0) = $false) | ($false != $false)) )),
% 0.21/0.42 inference(equality_factoring,[],[f27])).
% 0.21/0.42 thf(f27,plain,(
% 0.21/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = (f @ X3)) | ($false = (f @ X2)) | (X0 = X1) | (X0 = X3) | (X1 = X2)) )),
% 0.21/0.42 inference(trivial_inequality_removal,[],[f22])).
% 0.21/0.42 thf(f22,plain,(
% 0.21/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i] : (($false = $true) | ($false = (f @ X2)) | (X0 = X1) | (X0 = X3) | (X1 = X2) | ($false = (f @ X3))) )),
% 0.21/0.42 inference(superposition,[],[f21,f15])).
% 0.21/0.42 thf(f15,plain,(
% 0.21/0.42 ( ! [X0 : $i,X1 : $i] : (((f @ X1) = $false) | ((f @ X0) = $false) | (X0 = X1)) )),
% 0.21/0.42 inference(binary_proxy_clausification,[],[f10])).
% 0.21/0.42 thf(f21,plain,(
% 0.21/0.42 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (f @ X2)) | (X0 = X2) | (X0 = X1) | ((f @ X1) = $false)) )),
% 0.21/0.42 inference(trivial_inequality_removal,[],[f17])).
% 0.21/0.42 thf(f17,plain,(
% 0.21/0.42 ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (f @ X2)) | ($false = $true) | ((f @ X1) = $false) | (X0 = X2) | (X0 = X1)) )),
% 0.21/0.42 inference(superposition,[],[f15,f14])).
% 0.21/0.42 thf(f102,plain,(
% 0.21/0.42 ( ! [X2 : $i,X3 : $i,X1 : $i] : ((sK2 = X1) | (X1 = X2) | (X2 = X3) | (X1 = X3)) ) | ~spl3_1),
% 0.21/0.42 inference(avatar_component_clause,[],[f101])).
% 0.21/0.42 thf(f274,plain,(
% 0.21/0.42 ( ! [X2 : $i,X0 : $i,X1 : $i] : ((X0 = X2) | (X1 = X2) | (sK2 != X1) | (X0 = X1)) ) | ~spl3_1),
% 0.21/0.42 inference(equality_factoring,[],[f102])).
% 0.21/0.42 thf(f258,plain,(
% 0.21/0.42 spl3_3 | ~spl3_8),
% 0.21/0.42 inference(avatar_split_clause,[],[f247,f157,f108])).
% 0.21/0.42 thf(f108,plain,(
% 0.21/0.42 spl3_3 <=> ! [X4,X0] : ((sK2 = X4) | (sK0 != X0) | (X0 = X4))),
% 0.21/0.42 introduced(avatar_definition,[new_symbols(naming,[spl3_3])])).
% 0.21/0.42 thf(f247,plain,(
% 0.21/0.42 ( ! [X0 : $i,X1 : $i] : ((sK0 != X0) | (sK2 = X1) | (X0 = X1)) ) | ~spl3_8),
% 0.21/0.42 inference(superposition,[],[f13,f158])).
% 0.21/0.42 thf(f158,plain,(
% 0.21/0.42 ( ! [X2 : $i,X3 : $i,X4 : $i] : ((X3 = X4) | (X2 = X3) | (X2 = X4)) ) | ~spl3_8),
% 0.21/0.42 inference(avatar_component_clause,[],[f157])).
% 0.21/0.42 thf(f13,plain,(
% 0.21/0.42 (sK0 != sK2)),
% 0.21/0.42 inference(cnf_transformation,[],[f9])).
% 0.21/0.42 thf(f9,plain,(
% 0.21/0.42 (sK0 != sK2) & (sK1 != sK2) & (sK1 != sK0)),
% 0.21/0.42 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f6,f8])).
% 0.21/0.42 thf(f8,plain,(
% 0.21/0.42 ? [X0,X1,X2] : ((X0 != X2) & (X1 != X2) & (X0 != X1)) => ((sK0 != sK2) & (sK1 != sK2) & (sK1 != sK0))),
% 0.21/0.42 introduced(choice_axiom,[])).
% 0.21/0.42 thf(f6,plain,(
% 0.21/0.42 ? [X0,X1,X2] : ((X0 != X2) & (X1 != X2) & (X0 != X1))),
% 0.21/0.42 inference(ennf_transformation,[],[f5])).
% 0.21/0.42 thf(f5,plain,(
% 0.21/0.42 ~! [X1,X2,X0] : ((X0 = X1) | (X1 = X2) | (X0 = X2))),
% 0.21/0.42 inference(rectify,[],[f3])).
% 0.21/0.42 thf(f3,negated_conjecture,(
% 0.21/0.42 ~! [X2,X1,X0] : ((X0 = X2) | (X1 = X2) | (X0 = X1))),
% 0.21/0.42 inference(negated_conjecture,[],[f2])).
% 0.21/0.42 thf(f2,conjecture,(
% 0.21/0.42 ! [X2,X1,X0] : ((X0 = X2) | (X1 = X2) | (X0 = X1))),
% 0.21/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less3)).
% 0.21/0.42 thf(f242,plain,(
% 0.21/0.42 ~spl3_3),
% 0.21/0.42 inference(avatar_contradiction_clause,[],[f241])).
% 0.21/0.42 thf(f241,plain,(
% 0.21/0.42 $false | ~spl3_3),
% 0.21/0.42 inference(equality_resolution,[],[f232])).
% 0.21/0.42 thf(f232,plain,(
% 0.21/0.42 ( ! [X0 : $i] : ((sK0 != X0)) ) | ~spl3_3),
% 0.21/0.42 inference(trivial_inequality_removal,[],[f231])).
% 0.21/0.42 thf(f231,plain,(
% 0.21/0.42 ( ! [X0 : $i] : ((sK1 != sK1) | (sK0 != X0)) ) | ~spl3_3),
% 0.21/0.42 inference(duplicate_literal_removal,[],[f223])).
% 0.21/0.42 thf(f223,plain,(
% 0.21/0.42 ( ! [X0 : $i] : ((sK0 != X0) | (sK1 != sK1) | (sK0 != X0)) ) | ~spl3_3),
% 0.21/0.42 inference(superposition,[],[f11,f168])).
% 0.21/0.42 thf(f168,plain,(
% 0.21/0.42 ( ! [X0 : $i,X1 : $i] : ((X0 = X1) | (sK1 != X0) | (sK0 != X1)) ) | ~spl3_3),
% 0.21/0.42 inference(superposition,[],[f12,f109])).
% 0.21/0.42 thf(f109,plain,(
% 0.21/0.42 ( ! [X0 : $i,X4 : $i] : ((sK2 = X4) | (X0 = X4) | (sK0 != X0)) ) | ~spl3_3),
% 0.21/0.42 inference(avatar_component_clause,[],[f108])).
% 0.21/0.42 thf(f12,plain,(
% 0.21/0.42 (sK1 != sK2)),
% 0.21/0.42 inference(cnf_transformation,[],[f9])).
% 0.21/0.42 thf(f11,plain,(
% 0.21/0.42 (sK1 != sK0)),
% 0.21/0.42 inference(cnf_transformation,[],[f9])).
% 0.21/0.42 thf(f110,plain,(
% 0.21/0.42 spl3_3 | spl3_1),
% 0.21/0.42 inference(avatar_split_clause,[],[f75,f101,f108])).
% 0.21/0.42 thf(f75,plain,(
% 0.21/0.42 ( ! [X2 : $i,X3 : $i,X0 : $i,X1 : $i,X4 : $i] : ((X1 = X3) | (X2 = X3) | (sK2 = X4) | (sK0 != X0) | (X0 = X4) | (X1 = X2) | (sK2 = X1)) )),
% 0.21/0.42 inference(superposition,[],[f13,f57])).
% 0.21/0.42 % SZS output end Proof for theBenchmark
% 0.21/0.42 % (10023)------------------------------
% 0.21/0.42 % (10023)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.42 % (10023)Termination reason: Refutation
% 0.21/0.42
% 0.21/0.42 % (10023)Memory used [KB]: 5628
% 0.21/0.42 % (10023)Time elapsed: 0.057 s
% 0.21/0.42 % (10023)Instructions burned: 88 (million)
% 0.21/0.42 % (10023)------------------------------
% 0.21/0.42 % (10023)------------------------------
% 0.21/0.42 % (10022)Success in time 0.05 s
%------------------------------------------------------------------------------