TSTP Solution File: SYO264^5 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SYO264^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n020.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 21:01:29 EDT 2024
% Result : Theorem 0.21s 0.41s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYO264^5 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.13 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jun 23 08:40:09 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.36 This is a TH0_THM_NEQ_NAR problem
% 0.21/0.37 Running higher-order theorem proving
% 0.21/0.37 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
% 0.21/0.39 % (6572)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.39 % (6566)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.21/0.39 % (6567)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)
% 0.21/0.39 % (6568)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)
% 0.21/0.39 % (6569)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.39 % (6570)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)
% 0.21/0.39 % (6571)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)
% 0.21/0.39 % (6569)Instruction limit reached!
% 0.21/0.39 % (6569)------------------------------
% 0.21/0.39 % (6569)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.39 % (6569)Termination reason: Unknown
% 0.21/0.39 % (6569)Termination phase: Saturation
% 0.21/0.39
% 0.21/0.39 % (6569)Memory used [KB]: 5500
% 0.21/0.39 % (6569)Time elapsed: 0.004 s
% 0.21/0.39 % (6569)Instructions burned: 2 (million)
% 0.21/0.39 % (6569)------------------------------
% 0.21/0.39 % (6569)------------------------------
% 0.21/0.39 % (6570)Instruction limit reached!
% 0.21/0.39 % (6570)------------------------------
% 0.21/0.39 % (6570)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.39 % (6570)Termination reason: Unknown
% 0.21/0.39 % (6570)Termination phase: Saturation
% 0.21/0.39
% 0.21/0.39 % (6570)Memory used [KB]: 5500
% 0.21/0.39 % (6570)Time elapsed: 0.004 s
% 0.21/0.39 % (6570)Instructions burned: 2 (million)
% 0.21/0.39 % (6570)------------------------------
% 0.21/0.39 % (6570)------------------------------
% 0.21/0.39 % (6567)Instruction limit reached!
% 0.21/0.39 % (6567)------------------------------
% 0.21/0.39 % (6567)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.39 % (6567)Termination reason: Unknown
% 0.21/0.39 % (6567)Termination phase: Saturation
% 0.21/0.39
% 0.21/0.39 % (6567)Memory used [KB]: 5500
% 0.21/0.39 % (6567)Time elapsed: 0.006 s
% 0.21/0.39 % (6567)Instructions burned: 4 (million)
% 0.21/0.39 % (6567)------------------------------
% 0.21/0.39 % (6567)------------------------------
% 0.21/0.39 % (6568)Refutation not found, incomplete strategy
% 0.21/0.39 % (6568)------------------------------
% 0.21/0.39 % (6568)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.39 % (6568)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.39
% 0.21/0.39
% 0.21/0.39 % (6568)Memory used [KB]: 5500
% 0.21/0.39 % (6568)Time elapsed: 0.006 s
% 0.21/0.39 % (6568)Instructions burned: 5 (million)
% 0.21/0.39 % (6568)------------------------------
% 0.21/0.39 % (6568)------------------------------
% 0.21/0.40 % (6572)Instruction limit reached!
% 0.21/0.40 % (6572)------------------------------
% 0.21/0.40 % (6572)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.40 % (6572)Termination reason: Unknown
% 0.21/0.40 % (6572)Termination phase: Saturation
% 0.21/0.40
% 0.21/0.40 % (6572)Memory used [KB]: 5628
% 0.21/0.40 % (6572)Time elapsed: 0.012 s
% 0.21/0.40 % (6572)Instructions burned: 18 (million)
% 0.21/0.40 % (6572)------------------------------
% 0.21/0.40 % (6572)------------------------------
% 0.21/0.40 % (6573)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)
% 0.21/0.40 % (6574)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)
% 0.21/0.41 % (6571)First to succeed.
% 0.21/0.41 % (6575)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)
% 0.21/0.41 % (6576)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)
% 0.21/0.41 % (6573)Instruction limit reached!
% 0.21/0.41 % (6573)------------------------------
% 0.21/0.41 % (6573)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (6573)Termination reason: Unknown
% 0.21/0.41 % (6573)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (6573)Memory used [KB]: 5500
% 0.21/0.41 % (6573)Time elapsed: 0.005 s
% 0.21/0.41 % (6573)Instructions burned: 4 (million)
% 0.21/0.41 % (6573)------------------------------
% 0.21/0.41 % (6573)------------------------------
% 0.21/0.41 % (6576)Instruction limit reached!
% 0.21/0.41 % (6576)------------------------------
% 0.21/0.41 % (6576)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (6576)Termination reason: Unknown
% 0.21/0.41 % (6576)Termination phase: Saturation
% 0.21/0.41
% 0.21/0.41 % (6576)Memory used [KB]: 5500
% 0.21/0.41 % (6576)Time elapsed: 0.005 s
% 0.21/0.41 % (6576)Instructions burned: 3 (million)
% 0.21/0.41 % (6576)------------------------------
% 0.21/0.41 % (6576)------------------------------
% 0.21/0.41 % (6571)Refutation found. Thanks to Tanya!
% 0.21/0.41 % SZS status Theorem for theBenchmark
% 0.21/0.41 % SZS output start Proof for theBenchmark
% 0.21/0.41 thf(func_def_3, type, sP0: ($i > $o) > ($i > $o) > $i > $o).
% 0.21/0.41 thf(func_def_4, type, sK1: $i > $o).
% 0.21/0.41 thf(func_def_8, type, sK5: ($i > $o) > $i).
% 0.21/0.41 thf(func_def_14, type, ph7: !>[X0: $tType]:(X0)).
% 0.21/0.41 thf(f364,plain,(
% 0.21/0.41 $false),
% 0.21/0.41 inference(avatar_sat_refutation,[],[f50,f54,f89,f111,f128,f229,f254,f279,f363])).
% 0.21/0.41 thf(f363,plain,(
% 0.21/0.41 ~spl6_22 | ~spl6_24),
% 0.21/0.41 inference(avatar_contradiction_clause,[],[f362])).
% 0.21/0.41 thf(f362,plain,(
% 0.21/0.41 $false | (~spl6_22 | ~spl6_24)),
% 0.21/0.41 inference(subsumption_resolution,[],[f359,f346])).
% 0.21/0.41 thf(f346,plain,(
% 0.21/0.41 ($true = (sK1 @ (sK5 @ (^[Y0 : $i]: (~ (sK1 @ Y0)))))) | (~spl6_22 | ~spl6_24)),
% 0.21/0.41 inference(not_proxy_clausification,[],[f345])).
% 0.21/0.41 thf(f345,plain,(
% 0.21/0.41 ($true != (~ (sK1 @ (sK5 @ (^[Y0 : $i]: (~ (sK1 @ Y0))))))) | (~spl6_22 | ~spl6_24)),
% 0.21/0.41 inference(beta_eta_normalization,[],[f344])).
% 0.21/0.41 thf(f344,plain,(
% 0.21/0.41 ($true != ((^[Y0 : $i]: (~ (sK1 @ Y0))) @ (sK5 @ (^[Y0 : $i]: (~ (sK1 @ Y0)))))) | (~spl6_22 | ~spl6_24)),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f306])).
% 0.21/0.41 thf(f306,plain,(
% 0.21/0.41 ($true = $false) | ($true != $true) | ($true != ((^[Y0 : $i]: (~ (sK1 @ Y0))) @ (sK5 @ (^[Y0 : $i]: (~ (sK1 @ Y0)))))) | (~spl6_22 | ~spl6_24)),
% 0.21/0.41 inference(superposition,[],[f286,f253])).
% 0.21/0.41 thf(f253,plain,(
% 0.21/0.41 ( ! [X1 : $i > $o] : (($true = (sK1 @ (sK5 @ X1))) | ($true != (X1 @ (sK5 @ X1)))) ) | ~spl6_22),
% 0.21/0.41 inference(avatar_component_clause,[],[f252])).
% 0.21/0.41 thf(f252,plain,(
% 0.21/0.41 spl6_22 <=> ! [X1 : $i > $o] : (($true != (X1 @ (sK5 @ X1))) | ($true = (sK1 @ (sK5 @ X1))))),
% 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl6_22])])).
% 0.21/0.41 thf(f286,plain,(
% 0.21/0.41 ( ! [X4 : $i > $o] : (($false = (X4 @ (sK5 @ (^[Y0 : $i]: (~ (X4 @ Y0)))))) | ($true != (sK1 @ (sK5 @ (^[Y0 : $i]: (~ (X4 @ Y0))))))) ) | ~spl6_24),
% 0.21/0.41 inference(not_proxy_clausification,[],[f285])).
% 0.21/0.41 thf(f285,plain,(
% 0.21/0.41 ( ! [X4 : $i > $o] : (($true != (sK1 @ (sK5 @ (^[Y0 : $i]: (~ (X4 @ Y0)))))) | ($true = (~ (X4 @ (sK5 @ (^[Y0 : $i]: (~ (X4 @ Y0)))))))) ) | ~spl6_24),
% 0.21/0.41 inference(beta_eta_normalization,[],[f282])).
% 0.21/0.41 thf(f282,plain,(
% 0.21/0.41 ( ! [X4 : $i > $o] : (($true != (sK1 @ (sK5 @ (^[Y0 : $i]: (~ (X4 @ Y0)))))) | ($true = ((^[Y0 : $i]: (~ (X4 @ Y0))) @ (sK5 @ (^[Y0 : $i]: (~ (X4 @ Y0))))))) ) | ~spl6_24),
% 0.21/0.41 inference(primitive_instantiation,[],[f278])).
% 0.21/0.41 thf(f278,plain,(
% 0.21/0.41 ( ! [X1 : $i > $o] : (($true = (X1 @ (sK5 @ X1))) | ($true != (sK1 @ (sK5 @ X1)))) ) | ~spl6_24),
% 0.21/0.41 inference(avatar_component_clause,[],[f277])).
% 0.21/0.41 thf(f277,plain,(
% 0.21/0.41 spl6_24 <=> ! [X1 : $i > $o] : (($true != (sK1 @ (sK5 @ X1))) | ($true = (X1 @ (sK5 @ X1))))),
% 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl6_24])])).
% 0.21/0.41 thf(f359,plain,(
% 0.21/0.41 ($true != (sK1 @ (sK5 @ (^[Y0 : $i]: (~ (sK1 @ Y0)))))) | (~spl6_22 | ~spl6_24)),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f353])).
% 0.21/0.41 thf(f353,plain,(
% 0.21/0.41 ($true != (sK1 @ (sK5 @ (^[Y0 : $i]: (~ (sK1 @ Y0)))))) | ($true = $false) | (~spl6_22 | ~spl6_24)),
% 0.21/0.41 inference(superposition,[],[f346,f286])).
% 0.21/0.41 thf(f279,plain,(
% 0.21/0.41 spl6_15 | spl6_24 | ~spl6_7),
% 0.21/0.41 inference(avatar_split_clause,[],[f270,f52,f277,f87])).
% 0.21/0.41 thf(f87,plain,(
% 0.21/0.41 spl6_15 <=> ! [X0 : $i > $o] : (($true != (X0 @ sK3)) | ($true != (X0 @ sK2)))),
% 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl6_15])])).
% 0.21/0.41 thf(f52,plain,(
% 0.21/0.41 spl6_7 <=> ! [X4 : $i > $o,X5 : $i > $o] : (((sP0 @ X5 @ X4 @ sK3) = $true) | ($true = (X4 @ (sK5 @ X4))) | ($true != (X5 @ sK2)) | ($true != (sK1 @ (sK5 @ X4))))),
% 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl6_7])])).
% 0.21/0.41 thf(f270,plain,(
% 0.21/0.41 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true != (sK1 @ (sK5 @ X1))) | ($true = (X1 @ (sK5 @ X1))) | ($true != (X0 @ sK3)) | ($true != (X0 @ sK2))) ) | ~spl6_7),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f269])).
% 0.21/0.41 thf(f269,plain,(
% 0.21/0.41 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true != $true) | ($true != (sK1 @ (sK5 @ X1))) | ($true = (X1 @ (sK5 @ X1))) | ($true != (X0 @ sK3)) | ($true != (X0 @ sK2))) ) | ~spl6_7),
% 0.21/0.41 inference(superposition,[],[f17,f53])).
% 0.21/0.41 thf(f53,plain,(
% 0.21/0.41 ( ! [X4 : $i > $o,X5 : $i > $o] : (((sP0 @ X5 @ X4 @ sK3) = $true) | ($true != (sK1 @ (sK5 @ X4))) | ($true != (X5 @ sK2)) | ($true = (X4 @ (sK5 @ X4)))) ) | ~spl6_7),
% 0.21/0.41 inference(avatar_component_clause,[],[f52])).
% 0.21/0.41 thf(f17,plain,(
% 0.21/0.41 ( ! [X2 : $i > $o,X0 : $i,X1 : $i > $o] : (($true != (sP0 @ X2 @ X1 @ X0)) | ($true != (X2 @ X0))) )),
% 0.21/0.41 inference(cnf_transformation,[],[f11])).
% 0.21/0.41 thf(f11,plain,(
% 0.21/0.41 ! [X0,X1 : $i > $o,X2 : $i > $o] : ((((X1 @ X0) != $true) & ($true != (X2 @ X0))) | ($true != (sP0 @ X2 @ X1 @ X0)))),
% 0.21/0.41 inference(rectify,[],[f10])).
% 0.21/0.41 thf(f10,plain,(
% 0.21/0.41 ! [X2,X5 : $i > $o,X4 : $i > $o] : ((($true != (X5 @ X2)) & ((X4 @ X2) != $true)) | ($true != (sP0 @ X4 @ X5 @ X2)))),
% 0.21/0.41 inference(nnf_transformation,[],[f8])).
% 0.21/0.41 thf(f8,plain,(
% 0.21/0.41 ! [X2,X5 : $i > $o,X4 : $i > $o] : ((($true != (X5 @ X2)) & ((X4 @ X2) != $true)) | ~($true = (sP0 @ X4 @ X5 @ X2)))),
% 0.21/0.41 introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
% 0.21/0.41 thf(f254,plain,(
% 0.21/0.41 spl6_15 | spl6_22 | ~spl6_6),
% 0.21/0.41 inference(avatar_split_clause,[],[f245,f48,f252,f87])).
% 0.21/0.41 thf(f48,plain,(
% 0.21/0.41 spl6_6 <=> ! [X4 : $i > $o,X5 : $i > $o] : (($true != (X5 @ sK2)) | ((sP0 @ X5 @ X4 @ sK3) = $true) | ($true = (sK1 @ (sK5 @ X4))) | ($true != (X4 @ (sK5 @ X4))))),
% 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl6_6])])).
% 0.21/0.41 thf(f245,plain,(
% 0.21/0.41 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true != (X1 @ (sK5 @ X1))) | ($true != (X0 @ sK3)) | ($true = (sK1 @ (sK5 @ X1))) | ($true != (X0 @ sK2))) ) | ~spl6_6),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f244])).
% 0.21/0.41 thf(f244,plain,(
% 0.21/0.41 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true != $true) | ($true = (sK1 @ (sK5 @ X1))) | ($true != (X1 @ (sK5 @ X1))) | ($true != (X0 @ sK3)) | ($true != (X0 @ sK2))) ) | ~spl6_6),
% 0.21/0.41 inference(superposition,[],[f17,f49])).
% 0.21/0.41 thf(f49,plain,(
% 0.21/0.41 ( ! [X4 : $i > $o,X5 : $i > $o] : (((sP0 @ X5 @ X4 @ sK3) = $true) | ($true != (X5 @ sK2)) | ($true = (sK1 @ (sK5 @ X4))) | ($true != (X4 @ (sK5 @ X4)))) ) | ~spl6_6),
% 0.21/0.41 inference(avatar_component_clause,[],[f48])).
% 0.21/0.41 thf(f229,plain,(
% 0.21/0.41 spl6_4 | ~spl6_14 | ~spl6_16),
% 0.21/0.41 inference(avatar_contradiction_clause,[],[f228])).
% 0.21/0.41 thf(f228,plain,(
% 0.21/0.41 $false | (spl6_4 | ~spl6_14 | ~spl6_16)),
% 0.21/0.41 inference(subsumption_resolution,[],[f223,f41])).
% 0.21/0.41 thf(f41,plain,(
% 0.21/0.41 ($true != (sK1 @ sK4)) | spl6_4),
% 0.21/0.41 inference(avatar_component_clause,[],[f39])).
% 0.21/0.41 thf(f39,plain,(
% 0.21/0.41 spl6_4 <=> ($true = (sK1 @ sK4))),
% 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl6_4])])).
% 0.21/0.41 thf(f223,plain,(
% 0.21/0.41 ($true = (sK1 @ sK4)) | (spl6_4 | ~spl6_14 | ~spl6_16)),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f222])).
% 0.21/0.41 thf(f222,plain,(
% 0.21/0.41 ($true = (sK1 @ sK4)) | ($true = $false) | ($true != $true) | (spl6_4 | ~spl6_14 | ~spl6_16)),
% 0.21/0.41 inference(superposition,[],[f141,f210])).
% 0.21/0.41 thf(f210,plain,(
% 0.21/0.41 ($true = (sK1 @ (sK5 @ (^[Y0 : $i]: (~ (sK1 @ Y0)))))) | (spl6_4 | ~spl6_14 | ~spl6_16)),
% 0.21/0.41 inference(subsumption_resolution,[],[f193,f41])).
% 0.21/0.41 thf(f193,plain,(
% 0.21/0.41 ($true = (sK1 @ sK4)) | ($true = (sK1 @ (sK5 @ (^[Y0 : $i]: (~ (sK1 @ Y0)))))) | (~spl6_14 | ~spl6_16)),
% 0.21/0.41 inference(not_proxy_clausification,[],[f192])).
% 0.21/0.41 thf(f192,plain,(
% 0.21/0.41 ($true = (sK1 @ sK4)) | ($true != (~ (sK1 @ (sK5 @ (^[Y0 : $i]: (~ (sK1 @ Y0))))))) | (~spl6_14 | ~spl6_16)),
% 0.21/0.41 inference(duplicate_literal_removal,[],[f191])).
% 0.21/0.41 thf(f191,plain,(
% 0.21/0.41 ($true = (sK1 @ sK4)) | ($true != (~ (sK1 @ (sK5 @ (^[Y0 : $i]: (~ (sK1 @ Y0))))))) | ($true = (sK1 @ sK4)) | (~spl6_14 | ~spl6_16)),
% 0.21/0.41 inference(not_proxy_clausification,[],[f190])).
% 0.21/0.41 thf(f190,plain,(
% 0.21/0.41 ($true != (~ (sK1 @ sK4))) | ($true != (~ (sK1 @ (sK5 @ (^[Y0 : $i]: (~ (sK1 @ Y0))))))) | ($true = (sK1 @ sK4)) | (~spl6_14 | ~spl6_16)),
% 0.21/0.41 inference(beta_eta_normalization,[],[f189])).
% 0.21/0.41 thf(f189,plain,(
% 0.21/0.41 ($true != ((^[Y0 : $i]: (~ (sK1 @ Y0))) @ sK4)) | ($true != ((^[Y0 : $i]: (~ (sK1 @ Y0))) @ (sK5 @ (^[Y0 : $i]: (~ (sK1 @ Y0)))))) | ($true = (sK1 @ sK4)) | (~spl6_14 | ~spl6_16)),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f162])).
% 0.21/0.41 thf(f162,plain,(
% 0.21/0.41 ($true != $true) | ($true != ((^[Y0 : $i]: (~ (sK1 @ Y0))) @ (sK5 @ (^[Y0 : $i]: (~ (sK1 @ Y0)))))) | ($true = (sK1 @ sK4)) | ($true = $false) | ($true != ((^[Y0 : $i]: (~ (sK1 @ Y0))) @ sK4)) | (~spl6_14 | ~spl6_16)),
% 0.21/0.41 inference(superposition,[],[f141,f110])).
% 0.21/0.41 thf(f110,plain,(
% 0.21/0.41 ( ! [X1 : $i > $o] : (($true = (sK1 @ (sK5 @ X1))) | ($true != (X1 @ (sK5 @ X1))) | ($true != (X1 @ sK4))) ) | ~spl6_16),
% 0.21/0.41 inference(avatar_component_clause,[],[f109])).
% 0.21/0.41 thf(f109,plain,(
% 0.21/0.41 spl6_16 <=> ! [X1 : $i > $o] : (($true != (X1 @ (sK5 @ X1))) | ($true != (X1 @ sK4)) | ($true = (sK1 @ (sK5 @ X1))))),
% 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl6_16])])).
% 0.21/0.41 thf(f141,plain,(
% 0.21/0.41 ( ! [X4 : $i > $o] : (($false = (X4 @ (sK5 @ (^[Y0 : $i]: (~ (X4 @ Y0)))))) | ($true != (sK1 @ (sK5 @ (^[Y0 : $i]: (~ (X4 @ Y0)))))) | ($true = (X4 @ sK4))) ) | ~spl6_14),
% 0.21/0.41 inference(not_proxy_clausification,[],[f140])).
% 0.21/0.41 thf(f140,plain,(
% 0.21/0.41 ( ! [X4 : $i > $o] : (($true = (X4 @ sK4)) | ($true = (~ (X4 @ (sK5 @ (^[Y0 : $i]: (~ (X4 @ Y0))))))) | ($true != (sK1 @ (sK5 @ (^[Y0 : $i]: (~ (X4 @ Y0))))))) ) | ~spl6_14),
% 0.21/0.41 inference(not_proxy_clausification,[],[f139])).
% 0.21/0.41 thf(f139,plain,(
% 0.21/0.41 ( ! [X4 : $i > $o] : (($true != (~ (X4 @ sK4))) | ($true = (~ (X4 @ (sK5 @ (^[Y0 : $i]: (~ (X4 @ Y0))))))) | ($true != (sK1 @ (sK5 @ (^[Y0 : $i]: (~ (X4 @ Y0))))))) ) | ~spl6_14),
% 0.21/0.41 inference(beta_eta_normalization,[],[f135])).
% 0.21/0.41 thf(f135,plain,(
% 0.21/0.41 ( ! [X4 : $i > $o] : (($true != (sK1 @ (sK5 @ (^[Y0 : $i]: (~ (X4 @ Y0)))))) | ($true = ((^[Y0 : $i]: (~ (X4 @ Y0))) @ (sK5 @ (^[Y0 : $i]: (~ (X4 @ Y0)))))) | ($true != ((^[Y0 : $i]: (~ (X4 @ Y0))) @ sK4))) ) | ~spl6_14),
% 0.21/0.41 inference(primitive_instantiation,[],[f85])).
% 0.21/0.41 thf(f85,plain,(
% 0.21/0.41 ( ! [X1 : $i > $o] : (($true = (X1 @ (sK5 @ X1))) | ($true != (X1 @ sK4)) | ($true != (sK1 @ (sK5 @ X1)))) ) | ~spl6_14),
% 0.21/0.41 inference(avatar_component_clause,[],[f84])).
% 0.21/0.41 thf(f84,plain,(
% 0.21/0.41 spl6_14 <=> ! [X1 : $i > $o] : (($true != (X1 @ sK4)) | ($true = (X1 @ (sK5 @ X1))) | ($true != (sK1 @ (sK5 @ X1))))),
% 0.21/0.41 introduced(avatar_definition,[new_symbols(naming,[spl6_14])])).
% 0.21/0.41 thf(f128,plain,(
% 0.21/0.41 ~spl6_15),
% 0.21/0.41 inference(avatar_contradiction_clause,[],[f127])).
% 0.21/0.41 thf(f127,plain,(
% 0.21/0.41 $false | ~spl6_15),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f126])).
% 0.21/0.41 thf(f126,plain,(
% 0.21/0.41 ($true != $true) | ~spl6_15),
% 0.21/0.41 inference(duplicate_literal_removal,[],[f125])).
% 0.21/0.41 thf(f125,plain,(
% 0.21/0.41 ($true != $true) | ($true != $true) | ~spl6_15),
% 0.21/0.41 inference(beta_eta_normalization,[],[f116])).
% 0.21/0.41 thf(f116,plain,(
% 0.21/0.41 ($true != ((^[Y0 : $i]: ($true)) @ sK3)) | ($true != ((^[Y0 : $i]: ($true)) @ sK2)) | ~spl6_15),
% 0.21/0.41 inference(primitive_instantiation,[],[f88])).
% 0.21/0.41 thf(f88,plain,(
% 0.21/0.41 ( ! [X0 : $i > $o] : (($true != (X0 @ sK3)) | ($true != (X0 @ sK2))) ) | ~spl6_15),
% 0.21/0.41 inference(avatar_component_clause,[],[f87])).
% 0.21/0.41 thf(f111,plain,(
% 0.21/0.41 spl6_15 | spl6_16),
% 0.21/0.41 inference(avatar_split_clause,[],[f93,f109,f87])).
% 0.21/0.41 thf(f93,plain,(
% 0.21/0.41 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true != (X1 @ (sK5 @ X1))) | ($true != (X0 @ sK2)) | ($true = (sK1 @ (sK5 @ X1))) | ($true != (X1 @ sK4)) | ($true != (X0 @ sK3))) )),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f91])).
% 0.21/0.41 thf(f91,plain,(
% 0.21/0.41 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true != (X1 @ sK4)) | ($true != (X0 @ sK3)) | ($true != (X1 @ (sK5 @ X1))) | ($true != $true) | ($true = (sK1 @ (sK5 @ X1))) | ($true != (X0 @ sK2))) )),
% 0.21/0.41 inference(superposition,[],[f17,f25])).
% 0.21/0.41 thf(f25,plain,(
% 0.21/0.41 ( ! [X4 : $i > $o,X5 : $i > $o] : (((sP0 @ X5 @ X4 @ sK3) = $true) | ($true != (X5 @ sK2)) | ($true != (X4 @ (sK5 @ X4))) | ($true = (sK1 @ (sK5 @ X4))) | ($true != (X4 @ sK4))) )),
% 0.21/0.41 inference(cnf_transformation,[],[f16])).
% 0.21/0.41 thf(f16,plain,(
% 0.21/0.41 ! [X4 : $i > $o,X5 : $i > $o] : (((($true = (sK1 @ (sK5 @ X4))) | ($true != (X4 @ (sK5 @ X4)))) & (($true != (sK1 @ (sK5 @ X4))) | ($true = (X4 @ (sK5 @ X4))))) | (($true != (X4 @ sK4)) & ($true != (sK1 @ sK4))) | (($true = (sK1 @ sK2)) & ($true != (X5 @ sK2))) | ((sP0 @ X5 @ X4 @ sK3) = $true))),
% 0.21/0.41 inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f13,f15,f14])).
% 0.21/0.41 thf(f14,plain,(
% 0.21/0.41 ? [X0 : $i > $o,X1,X2,X3] : ! [X4 : $i > $o,X5 : $i > $o] : (? [X6] : ((($true = (X0 @ X6)) | ($true != (X4 @ X6))) & (($true != (X0 @ X6)) | ($true = (X4 @ X6)))) | (($true != (X4 @ X3)) & ($true != (X0 @ X3))) | (($true = (X0 @ X1)) & ((X5 @ X1) != $true)) | ($true = (sP0 @ X5 @ X4 @ X2))) => ! [X5 : $i > $o,X4 : $i > $o] : (? [X6] : ((((sK1 @ X6) = $true) | ($true != (X4 @ X6))) & (((sK1 @ X6) != $true) | ($true = (X4 @ X6)))) | (($true != (X4 @ sK4)) & ($true != (sK1 @ sK4))) | (($true = (sK1 @ sK2)) & ($true != (X5 @ sK2))) | ((sP0 @ X5 @ X4 @ sK3) = $true))),
% 0.21/0.41 introduced(choice_axiom,[])).
% 0.21/0.41 thf(f15,plain,(
% 0.21/0.41 ! [X4 : $i > $o] : (? [X6] : ((((sK1 @ X6) = $true) | ($true != (X4 @ X6))) & (((sK1 @ X6) != $true) | ($true = (X4 @ X6)))) => ((($true = (sK1 @ (sK5 @ X4))) | ($true != (X4 @ (sK5 @ X4)))) & (($true != (sK1 @ (sK5 @ X4))) | ($true = (X4 @ (sK5 @ X4))))))),
% 0.21/0.41 introduced(choice_axiom,[])).
% 0.21/0.41 thf(f13,plain,(
% 0.21/0.41 ? [X0 : $i > $o,X1,X2,X3] : ! [X4 : $i > $o,X5 : $i > $o] : (? [X6] : ((($true = (X0 @ X6)) | ($true != (X4 @ X6))) & (($true != (X0 @ X6)) | ($true = (X4 @ X6)))) | (($true != (X4 @ X3)) & ($true != (X0 @ X3))) | (($true = (X0 @ X1)) & ((X5 @ X1) != $true)) | ($true = (sP0 @ X5 @ X4 @ X2)))),
% 0.21/0.41 inference(rectify,[],[f12])).
% 0.21/0.41 thf(f12,plain,(
% 0.21/0.41 ? [X3 : $i > $o,X0,X2,X1] : ! [X5 : $i > $o,X4 : $i > $o] : (? [X6] : ((((X3 @ X6) = $true) | ((X5 @ X6) != $true)) & (((X3 @ X6) != $true) | ((X5 @ X6) = $true))) | (((X5 @ X1) != $true) & ((X3 @ X1) != $true)) | (($true = (X3 @ X0)) & ((X4 @ X0) != $true)) | ($true = (sP0 @ X4 @ X5 @ X2)))),
% 0.21/0.41 inference(nnf_transformation,[],[f9])).
% 0.21/0.41 thf(f9,plain,(
% 0.21/0.41 ? [X3 : $i > $o,X0,X2,X1] : ! [X5 : $i > $o,X4 : $i > $o] : (? [X6] : (((X5 @ X6) = $true) <~> ((X3 @ X6) != $true)) | (((X5 @ X1) != $true) & ((X3 @ X1) != $true)) | (($true = (X3 @ X0)) & ((X4 @ X0) != $true)) | ($true = (sP0 @ X4 @ X5 @ X2)))),
% 0.21/0.41 inference(definition_folding,[],[f7,f8])).
% 0.21/0.41 thf(f7,plain,(
% 0.21/0.41 ? [X3 : $i > $o,X0,X2,X1] : ! [X5 : $i > $o,X4 : $i > $o] : (? [X6] : (((X5 @ X6) = $true) <~> ((X3 @ X6) != $true)) | (((X5 @ X1) != $true) & ((X3 @ X1) != $true)) | (($true = (X3 @ X0)) & ((X4 @ X0) != $true)) | (($true != (X5 @ X2)) & ((X4 @ X2) != $true)))),
% 0.21/0.41 inference(ennf_transformation,[],[f6])).
% 0.21/0.41 thf(f6,plain,(
% 0.21/0.41 ~! [X1,X2,X3 : $i > $o,X0] : ? [X5 : $i > $o,X4 : $i > $o] : ((($true != (X3 @ X0)) | ((X4 @ X0) = $true)) & (((X5 @ X1) = $true) | ((X3 @ X1) = $true)) & ! [X6] : (((X5 @ X6) = $true) <=> ((X3 @ X6) != $true)) & (($true = (X5 @ X2)) | ((X4 @ X2) = $true)))),
% 0.21/0.41 inference(flattening,[],[f5])).
% 0.21/0.41 thf(f5,plain,(
% 0.21/0.41 ~! [X0,X1,X2,X3 : $i > $o] : ? [X4 : $i > $o,X5 : $i > $o] : ((((X4 @ X0) = $true) | ~($true = (X3 @ X0))) & (($true = (X5 @ X2)) | ((X4 @ X2) = $true)) & (((X5 @ X1) = $true) | ((X3 @ X1) = $true)) & ! [X6] : (~((X3 @ X6) = $true) <=> ((X5 @ X6) = $true)))),
% 0.21/0.41 inference(fool_elimination,[],[f4])).
% 0.21/0.41 thf(f4,plain,(
% 0.21/0.41 ~! [X0,X1,X2,X3 : $i > $o] : ? [X4 : $i > $o,X5 : $i > $o] : (((X4 @ X0) | ~(X3 @ X0)) & ((X5 @ X2) | (X4 @ X2)) & ((X3 @ X1) | (X5 @ X1)) & ! [X6] : (~(X3 @ X6) <=> (X5 @ X6)))),
% 0.21/0.41 inference(rectify,[],[f2])).
% 0.21/0.41 thf(f2,negated_conjecture,(
% 0.21/0.41 ~! [X2,X1,X0,X3 : $i > $o] : ? [X4 : $i > $o,X5 : $i > $o] : (((X4 @ X2) | ~(X3 @ X2)) & ((X5 @ X0) | (X4 @ X0)) & ((X3 @ X1) | (X5 @ X1)) & ! [X6] : (~(X3 @ X6) <=> (X5 @ X6)))),
% 0.21/0.41 inference(negated_conjecture,[],[f1])).
% 0.21/0.41 thf(f1,conjecture,(
% 0.21/0.41 ! [X2,X1,X0,X3 : $i > $o] : ? [X4 : $i > $o,X5 : $i > $o] : (((X4 @ X2) | ~(X3 @ X2)) & ((X5 @ X0) | (X4 @ X0)) & ((X3 @ X1) | (X5 @ X1)) & ! [X6] : (~(X3 @ X6) <=> (X5 @ X6)))),
% 0.21/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM125C)).
% 0.21/0.41 thf(f89,plain,(
% 0.21/0.41 spl6_14 | spl6_15),
% 0.21/0.41 inference(avatar_split_clause,[],[f62,f87,f84])).
% 0.21/0.41 thf(f62,plain,(
% 0.21/0.41 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true != (X1 @ sK4)) | ($true != (sK1 @ (sK5 @ X1))) | ($true = (X1 @ (sK5 @ X1))) | ($true != (X0 @ sK3)) | ($true != (X0 @ sK2))) )),
% 0.21/0.41 inference(trivial_inequality_removal,[],[f61])).
% 0.21/0.41 thf(f61,plain,(
% 0.21/0.41 ( ! [X0 : $i > $o,X1 : $i > $o] : (($true != (sK1 @ (sK5 @ X1))) | ($true != (X0 @ sK2)) | ($true != $true) | ($true = (X1 @ (sK5 @ X1))) | ($true != (X0 @ sK3)) | ($true != (X1 @ sK4))) )),
% 0.21/0.41 inference(superposition,[],[f17,f21])).
% 0.21/0.41 thf(f21,plain,(
% 0.21/0.41 ( ! [X4 : $i > $o,X5 : $i > $o] : (((sP0 @ X5 @ X4 @ sK3) = $true) | ($true != (sK1 @ (sK5 @ X4))) | ($true != (X5 @ sK2)) | ($true != (X4 @ sK4)) | ($true = (X4 @ (sK5 @ X4)))) )),
% 0.21/0.41 inference(cnf_transformation,[],[f16])).
% 0.21/0.41 thf(f54,plain,(
% 0.21/0.41 spl6_7 | ~spl6_4),
% 0.21/0.41 inference(avatar_split_clause,[],[f19,f39,f52])).
% 0.21/0.41 thf(f19,plain,(
% 0.21/0.41 ( ! [X4 : $i > $o,X5 : $i > $o] : (((sP0 @ X5 @ X4 @ sK3) = $true) | ($true != (sK1 @ sK4)) | ($true != (sK1 @ (sK5 @ X4))) | ($true != (X5 @ sK2)) | ($true = (X4 @ (sK5 @ X4)))) )),
% 0.21/0.41 inference(cnf_transformation,[],[f16])).
% 0.21/0.41 thf(f50,plain,(
% 0.21/0.41 spl6_6 | ~spl6_4),
% 0.21/0.41 inference(avatar_split_clause,[],[f23,f39,f48])).
% 0.21/0.41 thf(f23,plain,(
% 0.21/0.41 ( ! [X4 : $i > $o,X5 : $i > $o] : (($true != (X5 @ sK2)) | ($true = (sK1 @ (sK5 @ X4))) | ($true != (X4 @ (sK5 @ X4))) | ((sP0 @ X5 @ X4 @ sK3) = $true) | ($true != (sK1 @ sK4))) )),
% 0.21/0.41 inference(cnf_transformation,[],[f16])).
% 0.21/0.41 % SZS output end Proof for theBenchmark
% 0.21/0.41 % (6571)------------------------------
% 0.21/0.41 % (6571)Version: Vampire 4.8 (commit 11aac991b on 2023-10-04 16:26:07 +0200)
% 0.21/0.41 % (6571)Termination reason: Refutation
% 0.21/0.41
% 0.21/0.41 % (6571)Memory used [KB]: 5628
% 0.21/0.41 % (6571)Time elapsed: 0.024 s
% 0.21/0.41 % (6571)Instructions burned: 27 (million)
% 0.21/0.41 % (6571)------------------------------
% 0.21/0.41 % (6571)------------------------------
% 0.21/0.41 % (6565)Success in time 0.036 s
%------------------------------------------------------------------------------