TSTP Solution File: SYN915^4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN915^4 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n011.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 : Tue May 21 08:33:00 EDT 2024

% Result   : Theorem 0.14s 0.38s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SYN915^4 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon May 20 14:33:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TH0_THM_EQU_NAR problem
% 0.14/0.35  Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.37  % (9172)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)
% 0.14/0.37  % (9171)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.37  % (9174)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.37  % (9173)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)
% 0.14/0.37  % (9175)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)
% 0.14/0.37  % (9176)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)
% 0.14/0.37  % (9177)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.37  % (9178)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)
% 0.14/0.37  % (9174)Instruction limit reached!
% 0.14/0.37  % (9174)------------------------------
% 0.14/0.37  % (9174)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (9174)Termination reason: Unknown
% 0.14/0.37  % (9174)Termination phase: shuffling
% 0.14/0.37  
% 0.14/0.37  % (9175)Instruction limit reached!
% 0.14/0.37  % (9175)------------------------------
% 0.14/0.37  % (9175)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (9174)Memory used [KB]: 1023
% 0.14/0.37  % (9174)Time elapsed: 0.003 s
% 0.14/0.37  % (9174)Instructions burned: 2 (million)
% 0.14/0.37  % (9174)------------------------------
% 0.14/0.37  % (9174)------------------------------
% 0.14/0.37  % (9175)Termination reason: Unknown
% 0.14/0.37  % (9175)Termination phase: shuffling
% 0.14/0.37  
% 0.14/0.37  % (9175)Memory used [KB]: 1023
% 0.14/0.37  % (9175)Time elapsed: 0.003 s
% 0.14/0.37  % (9175)Instructions burned: 2 (million)
% 0.14/0.37  % (9175)------------------------------
% 0.14/0.37  % (9175)------------------------------
% 0.14/0.37  % (9178)Instruction limit reached!
% 0.14/0.37  % (9178)------------------------------
% 0.14/0.37  % (9178)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (9178)Termination reason: Unknown
% 0.14/0.37  % (9178)Termination phase: Property scanning
% 0.14/0.37  
% 0.14/0.37  % (9176)First to succeed.
% 0.14/0.37  % (9178)Memory used [KB]: 1023
% 0.14/0.37  % (9178)Time elapsed: 0.004 s
% 0.14/0.37  % (9178)Instructions burned: 3 (million)
% 0.14/0.37  % (9178)------------------------------
% 0.14/0.37  % (9178)------------------------------
% 0.14/0.37  % (9172)Instruction limit reached!
% 0.14/0.37  % (9172)------------------------------
% 0.14/0.37  % (9172)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (9172)Termination reason: Unknown
% 0.14/0.37  % (9172)Termination phase: Saturation
% 0.14/0.37  
% 0.14/0.37  % (9172)Memory used [KB]: 5500
% 0.14/0.37  % (9172)Time elapsed: 0.005 s
% 0.14/0.37  % (9172)Instructions burned: 5 (million)
% 0.14/0.37  % (9172)------------------------------
% 0.14/0.37  % (9172)------------------------------
% 0.14/0.37  % (9171)Also succeeded, but the first one will report.
% 0.14/0.38  % (9177)Also succeeded, but the first one will report.
% 0.14/0.38  % (9176)Refutation found. Thanks to Tanya!
% 0.14/0.38  % SZS status Theorem for theBenchmark
% 0.14/0.38  % SZS output start Proof for theBenchmark
% 0.14/0.38  thf(func_def_0, type, irel: $i > $i > $o).
% 0.14/0.38  thf(func_def_2, type, mnot: ($i > $o) > $i > $o).
% 0.14/0.38  thf(func_def_3, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.38  thf(func_def_4, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.38  thf(func_def_5, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.38  thf(func_def_6, type, mbox_s4: ($i > $o) > $i > $o).
% 0.14/0.38  thf(func_def_7, type, iatom: ($i > $o) > $i > $o).
% 0.14/0.38  thf(func_def_8, type, inot: ($i > $o) > $i > $o).
% 0.14/0.38  thf(func_def_9, type, itrue: $i > $o).
% 0.14/0.38  thf(func_def_10, type, ifalse: $i > $o).
% 0.14/0.38  thf(func_def_11, type, iand: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.38  thf(func_def_12, type, ior: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.38  thf(func_def_13, type, iimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.38  thf(func_def_14, type, iimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.38  thf(func_def_15, type, iequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.38  thf(func_def_16, type, ixor: ($i > $o) > ($i > $o) > $i > $o).
% 0.14/0.38  thf(func_def_17, type, ivalid: ($i > $o) > $o).
% 0.14/0.38  thf(func_def_18, type, isatisfiable: ($i > $o) > $o).
% 0.14/0.38  thf(func_def_19, type, icountersatisfiable: ($i > $o) > $o).
% 0.14/0.38  thf(func_def_20, type, iinvalid: ($i > $o) > $o).
% 0.14/0.38  thf(f76,plain,(
% 0.14/0.38    $false),
% 0.14/0.38    inference(trivial_inequality_removal,[],[f75])).
% 0.14/0.38  thf(f75,plain,(
% 0.14/0.38    ($true = $false)),
% 0.14/0.38    inference(beta_eta_normalization,[],[f74])).
% 0.14/0.38  thf(f74,plain,(
% 0.14/0.38    (((^[Y0 : $i]: ($true)) @ sK1) = $false)),
% 0.14/0.38    inference(sigma_clausification,[],[f73])).
% 0.14/0.38  thf(f73,plain,(
% 0.14/0.38    ($true != (!! @ $i @ (^[Y0 : $i]: ($true))))),
% 0.14/0.38    inference(beta_eta_normalization,[],[f72])).
% 0.14/0.38  thf(f72,plain,(
% 0.14/0.38    ($true != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: (Y0)) @ (^[Y0 : $i]: ($true)))))),
% 0.14/0.38    inference(definition_unfolding,[],[f71,f70,f69,f68])).
% 0.14/0.38  thf(f68,plain,(
% 0.14/0.38    (itrue = (^[Y0 : $i]: ($true)))),
% 0.14/0.38    inference(cnf_transformation,[],[f56])).
% 0.14/0.38  thf(f56,plain,(
% 0.14/0.38    (itrue = (^[Y0 : $i]: ($true)))),
% 0.14/0.38    inference(fool_elimination,[],[f55])).
% 0.14/0.38  thf(f55,plain,(
% 0.14/0.38    ((^[X0 : $i] : ($true)) = itrue)),
% 0.14/0.38    inference(rectify,[],[f10])).
% 0.14/0.38  thf(f10,axiom,(
% 0.14/0.38    ((^[X6 : $i] : ($true)) = itrue)),
% 0.14/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p',itrue)).
% 0.14/0.38  thf(f69,plain,(
% 0.14/0.38    (iatom = (^[Y0 : $i > $o]: (Y0)))),
% 0.14/0.38    inference(cnf_transformation,[],[f32])).
% 0.14/0.38  thf(f32,plain,(
% 0.14/0.38    (iatom = (^[Y0 : $i > $o]: (Y0)))),
% 0.14/0.38    inference(fool_elimination,[],[f31])).
% 0.14/0.38  thf(f31,plain,(
% 0.14/0.38    ((^[X0 : $i > $o] : (X0)) = iatom)),
% 0.14/0.38    inference(rectify,[],[f8])).
% 0.14/0.38  thf(f8,axiom,(
% 0.14/0.38    ((^[X5 : $i > $o] : (X5)) = iatom)),
% 0.14/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p',iatom)).
% 0.14/0.38  thf(f70,plain,(
% 0.14/0.38    (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.14/0.38    inference(cnf_transformation,[],[f66])).
% 0.14/0.38  thf(f66,plain,(
% 0.14/0.38    (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.14/0.38    inference(fool_elimination,[],[f65])).
% 0.14/0.38  thf(f65,plain,(
% 0.14/0.38    (ivalid = (^[X0 : $i > $o] : (! [X1] : (X0 @ X1))))),
% 0.14/0.38    inference(rectify,[],[f18])).
% 0.14/0.38  thf(f18,axiom,(
% 0.14/0.38    (ivalid = (^[X8 : $i > $o] : (! [X6] : (X8 @ X6))))),
% 0.14/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ivalid)).
% 0.14/0.38  thf(f71,plain,(
% 0.14/0.38    ((ivalid @ (iatom @ itrue)) != $true)),
% 0.14/0.38    inference(cnf_transformation,[],[f67])).
% 0.14/0.38  thf(f67,plain,(
% 0.14/0.38    ((ivalid @ (iatom @ itrue)) != $true)),
% 0.14/0.38    inference(flattening,[],[f46])).
% 0.14/0.38  thf(f46,plain,(
% 0.14/0.38    ~((ivalid @ (iatom @ itrue)) = $true)),
% 0.14/0.38    inference(fool_elimination,[],[f45])).
% 0.14/0.38  thf(f45,plain,(
% 0.14/0.38    ~(ivalid @ (iatom @ itrue))),
% 0.14/0.38    inference(rectify,[],[f23])).
% 0.14/0.38  thf(f23,negated_conjecture,(
% 0.14/0.38    ~(ivalid @ (iatom @ itrue))),
% 0.14/0.38    inference(negated_conjecture,[],[f22])).
% 0.14/0.38  thf(f22,conjecture,(
% 0.14/0.38    (ivalid @ (iatom @ itrue))),
% 0.14/0.38    file('/export/starexec/sandbox/benchmark/theBenchmark.p',truth)).
% 0.14/0.38  % SZS output end Proof for theBenchmark
% 0.14/0.38  % (9176)------------------------------
% 0.14/0.38  % (9176)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38  % (9176)Termination reason: Refutation
% 0.14/0.38  
% 0.14/0.38  % (9176)Memory used [KB]: 5500
% 0.14/0.38  % (9176)Time elapsed: 0.005 s
% 0.14/0.38  % (9176)Instructions burned: 3 (million)
% 0.14/0.38  % (9176)------------------------------
% 0.14/0.38  % (9176)------------------------------
% 0.14/0.38  % (9170)Success in time 0.007 s
% 0.14/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------