TSTP Solution File: SYO058^4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO058^4 : 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 : n019.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 09:02:34 EDT 2024

% Result   : Theorem 0.23s 0.40s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SYO058^4 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.15  % 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
% 0.16/0.37  % Computer : n019.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Mon May 20 09:46:53 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a TH0_THM_EQU_NAR problem
% 0.16/0.37  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
% 0.23/0.39  % (7415)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)
% 0.23/0.39  % (7413)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.23/0.39  % (7416)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.23/0.39  % (7414)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)
% 0.23/0.39  % (7417)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)
% 0.23/0.39  % (7419)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.23/0.39  % (7416)Instruction limit reached!
% 0.23/0.39  % (7416)------------------------------
% 0.23/0.39  % (7416)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39  % (7416)Termination reason: Unknown
% 0.23/0.39  % (7416)Termination phase: shuffling
% 0.23/0.39  
% 0.23/0.39  % (7416)Memory used [KB]: 1023
% 0.23/0.39  % (7416)Time elapsed: 0.003 s
% 0.23/0.39  % (7416)Instructions burned: 2 (million)
% 0.23/0.39  % (7416)------------------------------
% 0.23/0.39  % (7416)------------------------------
% 0.23/0.39  % (7417)Instruction limit reached!
% 0.23/0.39  % (7417)------------------------------
% 0.23/0.39  % (7417)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39  % (7417)Termination reason: Unknown
% 0.23/0.39  % (7417)Termination phase: shuffling
% 0.23/0.39  
% 0.23/0.39  % (7417)Memory used [KB]: 1023
% 0.23/0.39  % (7417)Time elapsed: 0.003 s
% 0.23/0.39  % (7417)Instructions burned: 2 (million)
% 0.23/0.39  % (7417)------------------------------
% 0.23/0.39  % (7417)------------------------------
% 0.23/0.39  % (7414)Instruction limit reached!
% 0.23/0.39  % (7414)------------------------------
% 0.23/0.39  % (7414)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.39  % (7414)Termination reason: Unknown
% 0.23/0.39  % (7414)Termination phase: Saturation
% 0.23/0.39  
% 0.23/0.39  % (7414)Memory used [KB]: 5500
% 0.23/0.39  % (7414)Time elapsed: 0.005 s
% 0.23/0.39  % (7414)Instructions burned: 5 (million)
% 0.23/0.39  % (7414)------------------------------
% 0.23/0.39  % (7414)------------------------------
% 0.23/0.39  % (7413)First to succeed.
% 0.23/0.39  % (7418)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)
% 0.23/0.39  % (7415)Also succeeded, but the first one will report.
% 0.23/0.40  % (7419)Also succeeded, but the first one will report.
% 0.23/0.40  % (7413)Refutation found. Thanks to Tanya!
% 0.23/0.40  % SZS status Theorem for theBenchmark
% 0.23/0.40  % SZS output start Proof for theBenchmark
% 0.23/0.40  thf(func_def_0, type, irel: $i > $i > $o).
% 0.23/0.40  thf(func_def_2, type, mnot: ($i > $o) > $i > $o).
% 0.23/0.40  thf(func_def_3, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.40  thf(func_def_4, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.40  thf(func_def_5, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.40  thf(func_def_6, type, mbox_s4: ($i > $o) > $i > $o).
% 0.23/0.40  thf(func_def_7, type, iatom: ($i > $o) > $i > $o).
% 0.23/0.40  thf(func_def_8, type, inot: ($i > $o) > $i > $o).
% 0.23/0.40  thf(func_def_9, type, itrue: $i > $o).
% 0.23/0.40  thf(func_def_10, type, ifalse: $i > $o).
% 0.23/0.40  thf(func_def_11, type, iand: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.40  thf(func_def_12, type, ior: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.40  thf(func_def_13, type, iimplies: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.40  thf(func_def_14, type, iimplied: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.40  thf(func_def_15, type, iequiv: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.40  thf(func_def_16, type, ixor: ($i > $o) > ($i > $o) > $i > $o).
% 0.23/0.40  thf(func_def_17, type, ivalid: ($i > $o) > $o).
% 0.23/0.40  thf(func_def_18, type, isatisfiable: ($i > $o) > $o).
% 0.23/0.40  thf(func_def_19, type, icountersatisfiable: ($i > $o) > $o).
% 0.23/0.40  thf(func_def_20, type, iinvalid: ($i > $o) > $o).
% 0.23/0.40  thf(func_def_21, type, a: $i > $o).
% 0.23/0.40  thf(f113,plain,(
% 0.23/0.40    $false),
% 0.23/0.40    inference(trivial_inequality_removal,[],[f112])).
% 0.23/0.40  thf(f112,plain,(
% 0.23/0.40    ($true = $false)),
% 0.23/0.40    inference(superposition,[],[f110,f108])).
% 0.23/0.40  thf(f108,plain,(
% 0.23/0.40    ( ! [X1 : $i] : (($true = (a @ X1))) )),
% 0.23/0.40    inference(pi_clausification,[],[f107])).
% 0.23/0.40  thf(f107,plain,(
% 0.23/0.40    ($true = (!! @ $i @ a))),
% 0.23/0.40    inference(beta_eta_normalization,[],[f105])).
% 0.23/0.40  thf(f105,plain,(
% 0.23/0.40    ($true = ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: (Y0)) @ a)))),
% 0.23/0.40    inference(definition_unfolding,[],[f81,f89,f76])).
% 0.23/0.40  thf(f76,plain,(
% 0.23/0.40    (iatom = (^[Y0 : $i > $o]: (Y0)))),
% 0.23/0.40    inference(cnf_transformation,[],[f41])).
% 0.23/0.40  thf(f41,plain,(
% 0.23/0.40    (iatom = (^[Y0 : $i > $o]: (Y0)))),
% 0.23/0.40    inference(fool_elimination,[],[f40])).
% 0.23/0.40  thf(f40,plain,(
% 0.23/0.40    (iatom = (^[X0 : $i > $o] : (X0)))),
% 0.23/0.40    inference(rectify,[],[f8])).
% 0.23/0.40  thf(f8,axiom,(
% 0.23/0.40    (iatom = (^[X5 : $i > $o] : (X5)))),
% 0.23/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p',iatom)).
% 0.23/0.40  thf(f89,plain,(
% 0.23/0.40    (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.23/0.40    inference(cnf_transformation,[],[f49])).
% 0.23/0.40  thf(f49,plain,(
% 0.23/0.40    (ivalid = (^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))))),
% 0.23/0.40    inference(fool_elimination,[],[f48])).
% 0.23/0.40  thf(f48,plain,(
% 0.23/0.40    ((^[X0 : $i > $o] : (! [X1] : (X0 @ X1))) = ivalid)),
% 0.23/0.40    inference(rectify,[],[f18])).
% 0.23/0.40  thf(f18,axiom,(
% 0.23/0.40    ((^[X8 : $i > $o] : (! [X6] : (X8 @ X6))) = ivalid)),
% 0.23/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ivalid)).
% 0.23/0.40  thf(f81,plain,(
% 0.23/0.40    ((ivalid @ (iatom @ a)) = $true)),
% 0.23/0.40    inference(cnf_transformation,[],[f67])).
% 0.23/0.40  thf(f67,plain,(
% 0.23/0.40    ((ivalid @ (iatom @ a)) = $true)),
% 0.23/0.40    inference(fool_elimination,[],[f66])).
% 0.23/0.40  thf(f66,plain,(
% 0.23/0.40    (ivalid @ (iatom @ a))),
% 0.23/0.40    inference(rectify,[],[f22])).
% 0.23/0.40  thf(f22,axiom,(
% 0.23/0.40    (ivalid @ (iatom @ a))),
% 0.23/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom1)).
% 0.23/0.40  thf(f110,plain,(
% 0.23/0.40    ((a @ sK1) = $false)),
% 0.23/0.40    inference(sigma_clausification,[],[f109])).
% 0.23/0.40  thf(f109,plain,(
% 0.23/0.40    ($true != (!! @ $i @ a))),
% 0.23/0.40    inference(beta_eta_normalization,[],[f106])).
% 0.23/0.40  thf(f106,plain,(
% 0.23/0.40    ($true != ((^[Y0 : $i > $o]: (!! @ $i @ (^[Y1 : $i]: (Y0 @ Y1)))) @ ((^[Y0 : $i > $o]: (Y0)) @ a)))),
% 0.23/0.40    inference(definition_unfolding,[],[f83,f89,f76])).
% 0.23/0.40  thf(f83,plain,(
% 0.23/0.40    ((ivalid @ (iatom @ a)) != $true)),
% 0.23/0.40    inference(cnf_transformation,[],[f70])).
% 0.23/0.40  thf(f70,plain,(
% 0.23/0.40    ((ivalid @ (iatom @ a)) != $true)),
% 0.23/0.40    inference(flattening,[],[f37])).
% 0.23/0.40  thf(f37,plain,(
% 0.23/0.40    ~((ivalid @ (iatom @ a)) = $true)),
% 0.23/0.40    inference(fool_elimination,[],[f36])).
% 0.23/0.40  thf(f36,plain,(
% 0.23/0.40    ~(ivalid @ (iatom @ a))),
% 0.23/0.40    inference(rectify,[],[f24])).
% 0.23/0.40  thf(f24,negated_conjecture,(
% 0.23/0.40    ~(ivalid @ (iatom @ a))),
% 0.23/0.40    inference(negated_conjecture,[],[f23])).
% 0.23/0.40  thf(f23,conjecture,(
% 0.23/0.40    (ivalid @ (iatom @ a))),
% 0.23/0.40    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con)).
% 0.23/0.40  % SZS output end Proof for theBenchmark
% 0.23/0.40  % (7413)------------------------------
% 0.23/0.40  % (7413)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.23/0.40  % (7413)Termination reason: Refutation
% 0.23/0.40  
% 0.23/0.40  % (7413)Memory used [KB]: 5500
% 0.23/0.40  % (7413)Time elapsed: 0.006 s
% 0.23/0.40  % (7413)Instructions burned: 4 (million)
% 0.23/0.40  % (7413)------------------------------
% 0.23/0.40  % (7413)------------------------------
% 0.23/0.40  % (7412)Success in time 0.008 s
% 0.23/0.40  % Vampire---4.8 exiting
%------------------------------------------------------------------------------