TSTP Solution File: SYO096^5 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYO096^5 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n013.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 09:02:55 EDT 2024

% Result   : Theorem 0.21s 0.38s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYO096^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n013.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 09:49:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a TH0_THM_NEQ_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/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37  % (10293)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)
% 0.14/0.37  % (10294)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)
% 0.14/0.37  % (10295)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.14/0.37  % (10296)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)
% 0.14/0.37  % (10297)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)
% 0.14/0.37  % (10298)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.14/0.37  % (10295)Instruction limit reached!
% 0.14/0.37  % (10295)------------------------------
% 0.14/0.37  % (10295)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (10295)Termination reason: Unknown
% 0.14/0.37  % (10296)Instruction limit reached!
% 0.14/0.37  % (10296)------------------------------
% 0.14/0.37  % (10296)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.37  % (10296)Termination reason: Unknown
% 0.14/0.37  % (10296)Termination phase: Saturation
% 0.14/0.37  
% 0.14/0.37  % (10296)Memory used [KB]: 895
% 0.14/0.37  % (10296)Time elapsed: 0.003 s
% 0.14/0.37  % (10296)Instructions burned: 2 (million)
% 0.14/0.37  % (10296)------------------------------
% 0.14/0.37  % (10296)------------------------------
% 0.14/0.37  % (10295)Termination phase: Saturation
% 0.14/0.37  
% 0.14/0.37  % (10295)Memory used [KB]: 5373
% 0.14/0.37  % (10295)Time elapsed: 0.003 s
% 0.14/0.37  % (10295)Instructions burned: 2 (million)
% 0.14/0.37  % (10295)------------------------------
% 0.14/0.37  % (10295)------------------------------
% 0.14/0.37  % (10292)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.14/0.37  % (10298)First to succeed.
% 0.14/0.38  % (10297)Also succeeded, but the first one will report.
% 0.21/0.38  % (10293)Also succeeded, but the first one will report.
% 0.21/0.38  % (10298)Refutation found. Thanks to Tanya!
% 0.21/0.38  % SZS status Theorem for theBenchmark
% 0.21/0.38  % SZS output start Proof for theBenchmark
% 0.21/0.38  thf(func_def_1, type, cQ: $i > $i > $o).
% 0.21/0.38  thf(func_def_3, type, cR: $i > $i > $o).
% 0.21/0.38  thf(f21,plain,(
% 0.21/0.38    $false),
% 0.21/0.38    inference(subsumption_resolution,[],[f19,f14])).
% 0.21/0.38  thf(f14,plain,(
% 0.21/0.38    ($true = (cQ @ cA @ cA))),
% 0.21/0.38    inference(trivial_inequality_removal,[],[f13])).
% 0.21/0.38  thf(f13,plain,(
% 0.21/0.38    ($true != $true) | ($true = (cQ @ cA @ cA))),
% 0.21/0.38    inference(superposition,[],[f12,f9])).
% 0.21/0.38  thf(f9,plain,(
% 0.21/0.38    ((cR @ cA @ cB) = $true)),
% 0.21/0.38    inference(cnf_transformation,[],[f8])).
% 0.21/0.38  thf(f8,plain,(
% 0.21/0.38    ! [X0] : (((cQ @ X0 @ X0) = $true) | ! [X1] : ((cR @ X0 @ X1) != $true)) & ! [X2] : (($true != (cR @ cB @ X2)) | ((cQ @ X2 @ cA) != $true)) & ! [X3,X4] : (($true != (cQ @ X4 @ X3)) | ! [X5] : ($true = (cR @ X5 @ X3))) & ((cR @ cA @ cB) = $true)),
% 0.21/0.38    inference(rectify,[],[f7])).
% 0.21/0.38  thf(f7,plain,(
% 0.21/0.38    ! [X0] : (((cQ @ X0 @ X0) = $true) | ! [X1] : ((cR @ X0 @ X1) != $true)) & ! [X5] : (((cR @ cB @ X5) != $true) | ((cQ @ X5 @ cA) != $true)) & ! [X3,X2] : (((cQ @ X2 @ X3) != $true) | ! [X4] : ((cR @ X4 @ X3) = $true)) & ((cR @ cA @ cB) = $true)),
% 0.21/0.38    inference(flattening,[],[f6])).
% 0.21/0.38  thf(f6,plain,(
% 0.21/0.38    ! [X5] : (((cR @ cB @ X5) != $true) | ((cQ @ X5 @ cA) != $true)) & (((cR @ cA @ cB) = $true) & ! [X3,X2] : (((cQ @ X2 @ X3) != $true) | ! [X4] : ((cR @ X4 @ X3) = $true)) & ! [X0] : (((cQ @ X0 @ X0) = $true) | ! [X1] : ((cR @ X0 @ X1) != $true)))),
% 0.21/0.38    inference(ennf_transformation,[],[f5])).
% 0.21/0.38  thf(f5,plain,(
% 0.21/0.38    ~((((cR @ cA @ cB) = $true) & ! [X3,X2] : (((cQ @ X2 @ X3) = $true) => ! [X4] : ((cR @ X4 @ X3) = $true)) & ! [X0] : (? [X1] : ((cR @ X0 @ X1) = $true) => ((cQ @ X0 @ X0) = $true))) => ? [X5] : (((cQ @ X5 @ cA) = $true) & ((cR @ cB @ X5) = $true)))),
% 0.21/0.38    inference(fool_elimination,[],[f4])).
% 0.21/0.38  thf(f4,plain,(
% 0.21/0.38    ~((! [X0] : (? [X1] : (cR @ X0 @ X1) => (cQ @ X0 @ X0)) & (cR @ cA @ cB) & ! [X2,X3] : ((cQ @ X2 @ X3) => ! [X4] : (cR @ X4 @ X3))) => ? [X5] : ((cR @ cB @ X5) & (cQ @ X5 @ cA)))),
% 0.21/0.38    inference(rectify,[],[f2])).
% 0.21/0.38  thf(f2,negated_conjecture,(
% 0.21/0.38    ~((! [X0] : (? [X1] : (cR @ X0 @ X1) => (cQ @ X0 @ X0)) & (cR @ cA @ cB) & ! [X2,X3] : ((cQ @ X2 @ X3) => ! [X4] : (cR @ X4 @ X3))) => ? [X5] : ((cR @ cB @ X5) & (cQ @ X5 @ cA)))),
% 0.21/0.38    inference(negated_conjecture,[],[f1])).
% 0.21/0.38  thf(f1,conjecture,(
% 0.21/0.38    (! [X0] : (? [X1] : (cR @ X0 @ X1) => (cQ @ X0 @ X0)) & (cR @ cA @ cB) & ! [X2,X3] : ((cQ @ X2 @ X3) => ! [X4] : (cR @ X4 @ X3))) => ? [X5] : ((cR @ cB @ X5) & (cQ @ X5 @ cA))),
% 0.21/0.38    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cLX1)).
% 0.21/0.38  thf(f12,plain,(
% 0.21/0.38    ( ! [X0 : $i,X1 : $i] : (((cR @ X0 @ X1) != $true) | ((cQ @ X0 @ X0) = $true)) )),
% 0.21/0.38    inference(cnf_transformation,[],[f8])).
% 0.21/0.38  thf(f19,plain,(
% 0.21/0.38    ($true != (cQ @ cA @ cA))),
% 0.21/0.38    inference(trivial_inequality_removal,[],[f17])).
% 0.21/0.38  thf(f17,plain,(
% 0.21/0.38    ($true != $true) | ($true != (cQ @ cA @ cA))),
% 0.21/0.38    inference(superposition,[],[f11,f16])).
% 0.21/0.38  thf(f16,plain,(
% 0.21/0.38    ( ! [X0 : $i] : (((cR @ X0 @ cA) = $true)) )),
% 0.21/0.38    inference(trivial_inequality_removal,[],[f15])).
% 0.21/0.38  thf(f15,plain,(
% 0.21/0.38    ( ! [X0 : $i] : (((cR @ X0 @ cA) = $true) | ($true != $true)) )),
% 0.21/0.38    inference(superposition,[],[f10,f14])).
% 0.21/0.38  thf(f10,plain,(
% 0.21/0.38    ( ! [X3 : $i,X4 : $i,X5 : $i] : (($true != (cQ @ X4 @ X3)) | ($true = (cR @ X5 @ X3))) )),
% 0.21/0.38    inference(cnf_transformation,[],[f8])).
% 0.21/0.38  thf(f11,plain,(
% 0.21/0.38    ( ! [X2 : $i] : (($true != (cR @ cB @ X2)) | ((cQ @ X2 @ cA) != $true)) )),
% 0.21/0.38    inference(cnf_transformation,[],[f8])).
% 0.21/0.38  % SZS output end Proof for theBenchmark
% 0.21/0.38  % (10298)------------------------------
% 0.21/0.38  % (10298)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.38  % (10298)Termination reason: Refutation
% 0.21/0.38  
% 0.21/0.38  % (10298)Memory used [KB]: 5500
% 0.21/0.38  % (10298)Time elapsed: 0.005 s
% 0.21/0.38  % (10298)Instructions burned: 2 (million)
% 0.21/0.38  % (10298)------------------------------
% 0.21/0.38  % (10298)------------------------------
% 0.21/0.38  % (10291)Success in time 0.007 s
% 0.21/0.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------