TSTP Solution File: SEV413^5 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SEV413^5 : 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 : n032.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 04:13:42 EDT 2024

% Result   : Theorem 0.17s 0.33s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : SEV413^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.11  % 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
% 0.12/0.31  % Computer : n032.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit   : 300
% 0.12/0.31  % WCLimit    : 300
% 0.12/0.31  % DateTime   : Sun May 19 19:20:22 EDT 2024
% 0.12/0.31  % CPUTime    : 
% 0.12/0.31  This is a TH0_THM_NEQ_NAR problem
% 0.12/0.31  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
% 0.17/0.33  % (21291)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (3000ds/18Mi)
% 0.17/0.33  % (21287)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)
% 0.17/0.33  % (21288)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.17/0.33  % (21285)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (3000ds/183Mi)
% 0.17/0.33  % (21291)First to succeed.
% 0.17/0.33  % (21290)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)
% 0.17/0.33  % (21286)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)
% 0.17/0.33  % (21288)Instruction limit reached!
% 0.17/0.33  % (21288)------------------------------
% 0.17/0.33  % (21288)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.33  % (21288)Termination reason: Unknown
% 0.17/0.33  % (21288)Termination phase: Saturation
% 0.17/0.33  
% 0.17/0.33  % (21288)Memory used [KB]: 5500
% 0.17/0.33  % (21288)Time elapsed: 0.003 s
% 0.17/0.33  % (21288)Instructions burned: 2 (million)
% 0.17/0.33  % (21288)------------------------------
% 0.17/0.33  % (21288)------------------------------
% 0.17/0.33  % (21287)Also succeeded, but the first one will report.
% 0.17/0.33  % (21285)Also succeeded, but the first one will report.
% 0.17/0.33  % (21291)Refutation found. Thanks to Tanya!
% 0.17/0.33  % SZS status Theorem for theBenchmark
% 0.17/0.33  % SZS output start Proof for theBenchmark
% 0.17/0.33  thf(func_def_0, type, cB: $i > $o).
% 0.17/0.33  thf(func_def_1, type, cA: $i > $o).
% 0.17/0.33  thf(f45,plain,(
% 0.17/0.33    $false),
% 0.17/0.33    inference(avatar_sat_refutation,[],[f25,f30,f35,f36,f40,f44])).
% 0.17/0.33  thf(f44,plain,(
% 0.17/0.33    ~spl2_1 | spl2_3),
% 0.17/0.33    inference(avatar_contradiction_clause,[],[f43])).
% 0.17/0.33  thf(f43,plain,(
% 0.17/0.33    $false | (~spl2_1 | spl2_3)),
% 0.17/0.33    inference(subsumption_resolution,[],[f42,f29])).
% 0.17/0.33  thf(f29,plain,(
% 0.17/0.33    ((cB @ sK0) != $true) | spl2_3),
% 0.17/0.33    inference(avatar_component_clause,[],[f27])).
% 0.17/0.33  thf(f27,plain,(
% 0.17/0.33    spl2_3 <=> ((cB @ sK0) = $true)),
% 0.17/0.33    introduced(avatar_definition,[new_symbols(naming,[spl2_3])])).
% 0.17/0.33  thf(f42,plain,(
% 0.17/0.33    ((cB @ sK0) = $true) | ~spl2_1),
% 0.17/0.33    inference(trivial_inequality_removal,[],[f41])).
% 0.17/0.33  thf(f41,plain,(
% 0.17/0.33    ((cB @ sK0) = $true) | ($true != $true) | ~spl2_1),
% 0.17/0.33    inference(superposition,[],[f16,f20])).
% 0.17/0.33  thf(f20,plain,(
% 0.17/0.33    ((cA @ sK0) = $true) | ~spl2_1),
% 0.17/0.33    inference(avatar_component_clause,[],[f18])).
% 0.17/0.33  thf(f18,plain,(
% 0.17/0.33    spl2_1 <=> ((cA @ sK0) = $true)),
% 0.17/0.33    introduced(avatar_definition,[new_symbols(naming,[spl2_1])])).
% 0.17/0.33  thf(f16,plain,(
% 0.17/0.33    ( ! [X0 : $i] : (((cA @ X0) != $true) | ((cB @ X0) = $true)) )),
% 0.17/0.33    inference(duplicate_literal_removal,[],[f15])).
% 0.17/0.33  thf(f15,plain,(
% 0.17/0.33    ( ! [X0 : $i] : (((cA @ X0) != $true) | ((cA @ X0) != $true) | ((cB @ X0) = $true)) )),
% 0.17/0.33    inference(condensation,[],[f14])).
% 0.17/0.33  thf(f14,plain,(
% 0.17/0.33    ( ! [X0 : $i,X1 : $i] : (((cB @ X0) = $true) | ((cB @ X1) = $true) | ((cA @ X1) != $true) | ((cA @ X0) != $true)) )),
% 0.17/0.33    inference(cnf_transformation,[],[f9])).
% 0.17/0.33  thf(f9,plain,(
% 0.17/0.33    (! [X0] : (((cA @ X0) != $true) | ((cB @ X0) = $true)) | ! [X1] : (((cA @ X1) != $true) | ((cB @ X1) = $true))) & ((((cA @ sK0) = $true) & ((cB @ sK0) != $true)) | (((cA @ sK1) = $true) & ((cB @ sK1) != $true)))),
% 0.17/0.33    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f8,f7])).
% 0.17/0.33  thf(f7,plain,(
% 0.17/0.33    ? [X2] : (((cA @ X2) = $true) & ((cB @ X2) != $true)) => (((cA @ sK0) = $true) & ((cB @ sK0) != $true))),
% 0.17/0.33    introduced(choice_axiom,[])).
% 0.17/0.33  thf(f8,plain,(
% 0.17/0.33    ? [X3] : (($true = (cA @ X3)) & ((cB @ X3) != $true)) => (((cA @ sK1) = $true) & ((cB @ sK1) != $true))),
% 0.17/0.33    introduced(choice_axiom,[])).
% 0.17/0.33  thf(f6,plain,(
% 0.17/0.33    (! [X0] : (((cA @ X0) != $true) | ((cB @ X0) = $true)) | ! [X1] : (((cA @ X1) != $true) | ((cB @ X1) = $true))) & (? [X2] : (((cA @ X2) = $true) & ((cB @ X2) != $true)) | ? [X3] : (($true = (cA @ X3)) & ((cB @ X3) != $true)))),
% 0.17/0.33    inference(ennf_transformation,[],[f5])).
% 0.17/0.33  thf(f5,plain,(
% 0.17/0.33    ~((! [X0] : (((cA @ X0) = $true) => ((cB @ X0) = $true)) | ! [X1] : (((cA @ X1) = $true) => ((cB @ X1) = $true))) => (! [X2] : (((cA @ X2) = $true) => ((cB @ X2) = $true)) & ! [X3] : (($true = (cA @ X3)) => ((cB @ X3) = $true))))),
% 0.17/0.33    inference(fool_elimination,[],[f4])).
% 0.17/0.33  thf(f4,plain,(
% 0.17/0.33    ~((! [X0] : ((cA @ X0) => (cB @ X0)) | ! [X1] : ((cA @ X1) => (cB @ X1))) => (! [X2] : ((cA @ X2) => (cB @ X2)) & ! [X3] : ((cA @ X3) => (cB @ X3))))),
% 0.17/0.33    inference(rectify,[],[f2])).
% 0.17/0.33  thf(f2,negated_conjecture,(
% 0.17/0.33    ~((! [X0] : ((cA @ X0) => (cB @ X0)) | ! [X0] : ((cA @ X0) => (cB @ X0))) => (! [X0] : ((cA @ X0) => (cB @ X0)) & ! [X0] : ((cA @ X0) => (cB @ X0))))),
% 0.17/0.33    inference(negated_conjecture,[],[f1])).
% 0.17/0.33  thf(f1,conjecture,(
% 0.17/0.33    (! [X0] : ((cA @ X0) => (cB @ X0)) | ! [X0] : ((cA @ X0) => (cB @ X0))) => (! [X0] : ((cA @ X0) => (cB @ X0)) & ! [X0] : ((cA @ X0) => (cB @ X0)))),
% 0.17/0.33    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cDUAL_EG5_pme)).
% 0.17/0.33  thf(f40,plain,(
% 0.17/0.33    ~spl2_2 | spl2_4),
% 0.17/0.33    inference(avatar_contradiction_clause,[],[f39])).
% 0.17/0.33  thf(f39,plain,(
% 0.17/0.33    $false | (~spl2_2 | spl2_4)),
% 0.17/0.33    inference(subsumption_resolution,[],[f38,f34])).
% 0.17/0.33  thf(f34,plain,(
% 0.17/0.33    ((cB @ sK1) != $true) | spl2_4),
% 0.17/0.33    inference(avatar_component_clause,[],[f32])).
% 0.17/0.33  thf(f32,plain,(
% 0.17/0.33    spl2_4 <=> ((cB @ sK1) = $true)),
% 0.17/0.33    introduced(avatar_definition,[new_symbols(naming,[spl2_4])])).
% 0.17/0.33  thf(f38,plain,(
% 0.17/0.33    ((cB @ sK1) = $true) | ~spl2_2),
% 0.17/0.33    inference(trivial_inequality_removal,[],[f37])).
% 0.17/0.33  thf(f37,plain,(
% 0.17/0.33    ((cB @ sK1) = $true) | ($true != $true) | ~spl2_2),
% 0.17/0.33    inference(superposition,[],[f16,f24])).
% 0.17/0.33  thf(f24,plain,(
% 0.17/0.33    ((cA @ sK1) = $true) | ~spl2_2),
% 0.17/0.33    inference(avatar_component_clause,[],[f22])).
% 0.17/0.33  thf(f22,plain,(
% 0.17/0.33    spl2_2 <=> ((cA @ sK1) = $true)),
% 0.17/0.33    introduced(avatar_definition,[new_symbols(naming,[spl2_2])])).
% 0.17/0.33  thf(f36,plain,(
% 0.17/0.33    ~spl2_4 | spl2_1),
% 0.17/0.33    inference(avatar_split_clause,[],[f12,f18,f32])).
% 0.17/0.33  thf(f12,plain,(
% 0.17/0.33    ((cB @ sK1) != $true) | ((cA @ sK0) = $true)),
% 0.17/0.33    inference(cnf_transformation,[],[f9])).
% 0.17/0.33  thf(f35,plain,(
% 0.17/0.33    ~spl2_4 | ~spl2_3),
% 0.17/0.33    inference(avatar_split_clause,[],[f10,f27,f32])).
% 0.17/0.33  thf(f10,plain,(
% 0.17/0.33    ((cB @ sK0) != $true) | ((cB @ sK1) != $true)),
% 0.17/0.33    inference(cnf_transformation,[],[f9])).
% 0.17/0.33  thf(f30,plain,(
% 0.17/0.33    ~spl2_3 | spl2_2),
% 0.17/0.33    inference(avatar_split_clause,[],[f11,f22,f27])).
% 0.17/0.33  thf(f11,plain,(
% 0.17/0.33    ((cB @ sK0) != $true) | ((cA @ sK1) = $true)),
% 0.17/0.33    inference(cnf_transformation,[],[f9])).
% 0.17/0.33  thf(f25,plain,(
% 0.17/0.33    spl2_1 | spl2_2),
% 0.17/0.33    inference(avatar_split_clause,[],[f13,f22,f18])).
% 0.17/0.33  thf(f13,plain,(
% 0.17/0.33    ((cA @ sK1) = $true) | ((cA @ sK0) = $true)),
% 0.17/0.33    inference(cnf_transformation,[],[f9])).
% 0.17/0.33  % SZS output end Proof for theBenchmark
% 0.17/0.33  % (21291)------------------------------
% 0.17/0.33  % (21291)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.17/0.33  % (21291)Termination reason: Refutation
% 0.17/0.33  
% 0.17/0.33  % (21291)Memory used [KB]: 5500
% 0.17/0.33  % (21291)Time elapsed: 0.004 s
% 0.17/0.33  % (21291)Instructions burned: 2 (million)
% 0.17/0.33  % (21291)------------------------------
% 0.17/0.33  % (21291)------------------------------
% 0.17/0.33  % (21284)Success in time 0.003 s
% 0.17/0.33  % Vampire---4.8 exiting
%------------------------------------------------------------------------------