TSTP Solution File: SYN382^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN382^5 : 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 : n017.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 08:22:08 EDT 2024

% Result   : Theorem 0.14s 0.32s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09  % Problem    : SYN382^5 : TPTP v8.2.0. Released v4.0.0.
% 0.04/0.10  % 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
% 0.09/0.30  % Computer : n017.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Mon May 20 14:33:07 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.09/0.30  This is a TH0_THM_NEQ_NAR problem
% 0.09/0.30  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
% 0.14/0.31  % (20508)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.31  % (20509)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 (3000ds/4Mi)
% 0.14/0.32  % (20511)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.32  % (20510)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 (3000ds/27Mi)
% 0.14/0.32  % (20512)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 (3000ds/2Mi)
% 0.14/0.32  % (20513)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 (3000ds/275Mi)
% 0.14/0.32  % (20514)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.32  % (20515)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (3000ds/3Mi)
% 0.14/0.32  % (20511)Instruction limit reached!
% 0.14/0.32  % (20511)------------------------------
% 0.14/0.32  % (20511)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.32  % (20511)Termination reason: Unknown
% 0.14/0.32  % (20511)Termination phase: Saturation
% 0.14/0.32  % (20512)Instruction limit reached!
% 0.14/0.32  % (20512)------------------------------
% 0.14/0.32  % (20512)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.32  % (20512)Termination reason: Unknown
% 0.14/0.32  % (20512)Termination phase: Saturation
% 0.14/0.32  
% 0.14/0.32  % (20512)Memory used [KB]: 5500
% 0.14/0.32  % (20512)Time elapsed: 0.003 s
% 0.14/0.32  % (20512)Instructions burned: 2 (million)
% 0.14/0.32  % (20512)------------------------------
% 0.14/0.32  % (20512)------------------------------
% 0.14/0.32  
% 0.14/0.32  % (20511)Memory used [KB]: 5500
% 0.14/0.32  % (20511)Time elapsed: 0.003 s
% 0.14/0.32  % (20511)Instructions burned: 2 (million)
% 0.14/0.32  % (20511)------------------------------
% 0.14/0.32  % (20511)------------------------------
% 0.14/0.32  % (20508)First to succeed.
% 0.14/0.32  % (20513)Also succeeded, but the first one will report.
% 0.14/0.32  % (20510)Also succeeded, but the first one will report.
% 0.14/0.32  % (20508)Refutation found. Thanks to Tanya!
% 0.14/0.32  % SZS status Theorem for theBenchmark
% 0.14/0.32  % SZS output start Proof for theBenchmark
% 0.14/0.32  thf(func_def_0, type, cQ: $i > $i > $o).
% 0.14/0.32  thf(func_def_1, type, cP: $i > $i > $o).
% 0.14/0.32  thf(func_def_5, type, sK0: $i > $i).
% 0.14/0.32  thf(f16,plain,(
% 0.14/0.32    $false),
% 0.14/0.32    inference(trivial_inequality_removal,[],[f15])).
% 0.14/0.32  thf(f15,plain,(
% 0.14/0.32    ($true != $true)),
% 0.14/0.32    inference(superposition,[],[f10,f14])).
% 0.14/0.32  thf(f14,plain,(
% 0.14/0.32    ( ! [X0 : $i] : (((cQ @ (sK0 @ X0) @ X0) = $true)) )),
% 0.14/0.32    inference(trivial_inequality_removal,[],[f13])).
% 0.14/0.32  thf(f13,plain,(
% 0.14/0.32    ( ! [X0 : $i] : (($true != $true) | ((cQ @ (sK0 @ X0) @ X0) = $true)) )),
% 0.14/0.32    inference(superposition,[],[f11,f12])).
% 0.14/0.32  thf(f12,plain,(
% 0.14/0.32    ( ! [X2 : $i,X0 : $i] : (((cP @ (sK0 @ X0) @ X2) = $true) | ((cQ @ (sK0 @ X0) @ X0) = $true)) )),
% 0.14/0.32    inference(cnf_transformation,[],[f9])).
% 0.14/0.32  thf(f9,plain,(
% 0.14/0.32    ! [X0] : (! [X2] : ((cP @ (sK0 @ X0) @ X2) = $true) | ((cQ @ (sK0 @ X0) @ X0) = $true)) & ! [X4] : (((cP @ X4 @ sK1) != $true) & ((cQ @ X4 @ sK1) != $true))),
% 0.14/0.32    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7])).
% 0.14/0.32  thf(f7,plain,(
% 0.14/0.32    ! [X0] : (? [X1] : (! [X2] : ((cP @ X1 @ X2) = $true) | ((cQ @ X1 @ X0) = $true)) => (! [X2] : ((cP @ (sK0 @ X0) @ X2) = $true) | ((cQ @ (sK0 @ X0) @ X0) = $true)))),
% 0.14/0.32    introduced(choice_axiom,[])).
% 0.14/0.32  thf(f8,plain,(
% 0.14/0.32    ? [X3] : ! [X4] : (($true != (cP @ X4 @ X3)) & ($true != (cQ @ X4 @ X3))) => ! [X4] : (((cP @ X4 @ sK1) != $true) & ((cQ @ X4 @ sK1) != $true))),
% 0.14/0.32    introduced(choice_axiom,[])).
% 0.14/0.32  thf(f6,plain,(
% 0.14/0.32    ! [X0] : ? [X1] : (! [X2] : ((cP @ X1 @ X2) = $true) | ((cQ @ X1 @ X0) = $true)) & ? [X3] : ! [X4] : (($true != (cP @ X4 @ X3)) & ($true != (cQ @ X4 @ X3)))),
% 0.14/0.32    inference(ennf_transformation,[],[f5])).
% 0.14/0.32  thf(f5,plain,(
% 0.14/0.32    ~(! [X0] : ? [X1] : (! [X2] : ((cP @ X1 @ X2) = $true) | ((cQ @ X1 @ X0) = $true)) => ! [X3] : ? [X4] : (($true = (cQ @ X4 @ X3)) | ($true = (cP @ X4 @ X3))))),
% 0.14/0.32    inference(fool_elimination,[],[f4])).
% 0.14/0.32  thf(f4,plain,(
% 0.14/0.32    ~(! [X0] : ? [X1] : (! [X2] : (cP @ X1 @ X2) | (cQ @ X1 @ X0)) => ! [X3] : ? [X4] : ((cQ @ X4 @ X3) | (cP @ X4 @ X3)))),
% 0.14/0.32    inference(rectify,[],[f2])).
% 0.14/0.32  thf(f2,negated_conjecture,(
% 0.14/0.32    ~(! [X0] : ? [X1] : (! [X2] : (cP @ X1 @ X2) | (cQ @ X1 @ X0)) => ! [X2] : ? [X1] : ((cQ @ X1 @ X2) | (cP @ X1 @ X2)))),
% 0.14/0.32    inference(negated_conjecture,[],[f1])).
% 0.14/0.32  thf(f1,conjecture,(
% 0.14/0.32    ! [X0] : ? [X1] : (! [X2] : (cP @ X1 @ X2) | (cQ @ X1 @ X0)) => ! [X2] : ? [X1] : ((cQ @ X1 @ X2) | (cP @ X1 @ X2))),
% 0.14/0.32    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cX2134)).
% 0.14/0.32  thf(f11,plain,(
% 0.14/0.32    ( ! [X4 : $i] : (((cP @ X4 @ sK1) != $true)) )),
% 0.14/0.32    inference(cnf_transformation,[],[f9])).
% 0.14/0.32  thf(f10,plain,(
% 0.14/0.32    ( ! [X4 : $i] : (((cQ @ X4 @ sK1) != $true)) )),
% 0.14/0.32    inference(cnf_transformation,[],[f9])).
% 0.14/0.32  % SZS output end Proof for theBenchmark
% 0.14/0.32  % (20508)------------------------------
% 0.14/0.32  % (20508)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.32  % (20508)Termination reason: Refutation
% 0.14/0.32  
% 0.14/0.32  % (20508)Memory used [KB]: 5500
% 0.14/0.32  % (20508)Time elapsed: 0.004 s
% 0.14/0.32  % (20508)Instructions burned: 2 (million)
% 0.14/0.32  % (20508)------------------------------
% 0.14/0.32  % (20508)------------------------------
% 0.14/0.32  % (20507)Success in time 0.015 s
% 0.14/0.32  % Vampire---4.8 exiting
%------------------------------------------------------------------------------