TSTP Solution File: SWW834_1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWW834_1 : TPTP v8.2.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 : Mon Jun 24 18:18:45 EDT 2024

% Result   : Unsatisfiable 4.15s 1.19s
% Output   : CNFRefutation 4.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWW834_1 : TPTP v8.2.0. Released v7.0.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Jun 19 08:42:09 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.21/0.48  Running TFA theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --schedule casc_29_tfa --heuristic_context casc_unsat /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.15/1.19  % SZS status Started for theBenchmark.p
% 4.15/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 4.15/1.19  
% 4.15/1.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.15/1.19  
% 4.15/1.19  ------  iProver source info
% 4.15/1.19  
% 4.15/1.19  git: date: 2024-06-12 09:56:46 +0000
% 4.15/1.19  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 4.15/1.19  git: non_committed_changes: false
% 4.15/1.19  
% 4.15/1.19  ------ Parsing...
% 4.15/1.19  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 4.15/1.19  
% 4.15/1.19  ------ Preprocessing...
% 4.15/1.19  
% 4.15/1.19  % SZS status Unsatisfiable for theBenchmark.p
% 4.15/1.19  
% 4.15/1.19  % SZS output start CNFRefutation for theBenchmark.p
% 4.15/1.19  
% 4.15/1.19  tff(f2,axiom,(
% 4.15/1.19    ~(f3(f6,f5) != 1.0 | f3(f4,f5) != 0.0)),
% 4.15/1.19    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_2)).
% 4.15/1.19  
% 4.15/1.19  tff(f3,axiom,(
% 4.15/1.19    ? [X0 : $real] : (($less(X0,f5) => ($less(f5,f7) => f3(f4,f5) != X0)) & 0.0 = X0)),
% 4.15/1.19    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_3)).
% 4.15/1.19  
% 4.15/1.19  tff(f5,axiom,(
% 4.15/1.19    $less(f7,f5) => ($less(f5,$product(2.0,f7)) => f3(f4,f5) != 0.0)),
% 4.15/1.19    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_5)).
% 4.15/1.19  
% 4.15/1.19  tff(f8,axiom,(
% 4.15/1.19    $less(0.0,f5)),
% 4.15/1.19    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_8)).
% 4.15/1.19  
% 4.15/1.19  tff(f9,axiom,(
% 4.15/1.19    $less(f5,$product(2.0,f7))),
% 4.15/1.19    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_9)).
% 4.15/1.19  
% 4.15/1.19  tff(f11,axiom,(
% 4.15/1.19    ? [X1 : $real] : (($less(X1,f5) => ($less(f5,f7) => f3(f4,f5) != X1)) & 0.0 = X1)),
% 4.15/1.19    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_11)).
% 4.15/1.19  
% 4.15/1.19  tff(f12,axiom,(
% 4.15/1.19    $less(f7,f5) => ($less(f5,$product(2.0,f7)) => f3(f4,f5) != 0.0)),
% 4.15/1.19    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_12)).
% 4.15/1.19  
% 4.15/1.19  tff(f26,axiom,(
% 4.15/1.19    ~$less(f7,0.0)),
% 4.15/1.19    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_26)).
% 4.15/1.19  
% 4.15/1.19  tff(f29,axiom,(
% 4.15/1.19    $less(0.0,f7)),
% 4.15/1.19    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_29)).
% 4.15/1.19  
% 4.15/1.19  tff(f31,axiom,(
% 4.15/1.19    $less(f7,4.0)),
% 4.15/1.19    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_31)).
% 4.15/1.19  
% 4.15/1.19  tff(f34,axiom,(
% 4.15/1.19    $lesseq(2.0,f7)),
% 4.15/1.19    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_34)).
% 4.15/1.19  
% 4.15/1.19  tff(f85,axiom,(
% 4.15/1.19    ? [X2 : $real,X27 : $real] : (! [X3 : $real] : ((f3(f6,X3) = X27 & $lesseq(X3,2.0) & $lesseq(X27,X3)) => X2 = X3) & f3(f6,X2) = X27 & $lesseq(X2,2.0) & $lesseq(X27,X2) & 0.0 = X27)),
% 4.15/1.19    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_85)).
% 4.15/1.19  
% 4.15/1.19  tff(f271,plain,(
% 4.15/1.19    ~$less(f7,2.0)),
% 4.15/1.19    inference(theory_normalization,[],[f34])).
% 4.15/1.19  
% 4.15/1.19  tff(f290,plain,(
% 4.15/1.19    ? [X2 : $real,X27 : $real] : (! [X3 : $real] : ((f3(f6,X3) = X27 & ~$less(2.0,X3) & ~$less(X3,X27)) => X2 = X3) & f3(f6,X2) = X27 & ~$less(2.0,X2) & ~$less(X2,X27) & 0.0 = X27)),
% 4.15/1.19    inference(theory_normalization,[],[f85])).
% 4.15/1.19  
% 4.15/1.19  tff(f358,plain,(
% 4.15/1.19    ( ! [X0 : $int] : (~$less(X0,X0)) )),
% 4.15/1.19    introduced(theory_axiom_145,[])).
% 4.15/1.19  
% 4.15/1.19  tff(f370,plain,(
% 4.15/1.19    ( ! [X0 : $real] : (~$less(X0,X0)) )),
% 4.15/1.19    introduced(theory_axiom_145,[])).
% 4.15/1.19  
% 4.15/1.19  tff(f385,plain,(
% 4.15/1.19    ? [X0 : $real] : (($less(X0,f5) => ($less(f5,f7) => f3(f4,f5) != X0)) & 0.0 = X0)),
% 4.15/1.19    inference(rectify,[],[f11])).
% 4.15/1.19  
% 4.15/1.19  tff(f433,plain,(
% 4.15/1.19    ? [X0 : $real,X1 : $real] : (! [X2 : $real] : ((f3(f6,X2) = X1 & ~$less(2.0,X2) & ~$less(X2,X1)) => X0 = X2) & f3(f6,X0) = X1 & ~$less(2.0,X0) & ~$less(X0,X1) & 0.0 = X1)),
% 4.15/1.19    inference(rectify,[],[f290])).
% 4.15/1.19  
% 4.15/1.19  tff(f602,plain,(
% 4.15/1.19    f3(f6,f5) = 1.0 & f3(f4,f5) = 0.0),
% 4.15/1.19    inference(ennf_transformation,[],[f2])).
% 4.15/1.19  
% 4.15/1.19  tff(f603,plain,(
% 4.15/1.19    ? [X0 : $real] : (((f3(f4,f5) != X0 | ~$less(f5,f7)) | ~$less(X0,f5)) & 0.0 = X0)),
% 4.15/1.19    inference(ennf_transformation,[],[f3])).
% 4.15/1.19  
% 4.15/1.19  tff(f604,plain,(
% 4.15/1.19    ? [X0 : $real] : ((f3(f4,f5) != X0 | ~$less(f5,f7) | ~$less(X0,f5)) & 0.0 = X0)),
% 4.15/1.19    inference(flattening,[],[f603])).
% 4.15/1.19  
% 4.15/1.19  tff(f606,plain,(
% 4.15/1.19    (f3(f4,f5) != 0.0 | ~$less(f5,$product(2.0,f7))) | ~$less(f7,f5)),
% 4.15/1.19    inference(ennf_transformation,[],[f5])).
% 4.15/1.19  
% 4.15/1.19  tff(f607,plain,(
% 4.15/1.19    f3(f4,f5) != 0.0 | ~$less(f5,$product(2.0,f7)) | ~$less(f7,f5)),
% 4.15/1.19    inference(flattening,[],[f606])).
% 4.15/1.19  
% 4.15/1.19  tff(f609,plain,(
% 4.15/1.19    ? [X0 : $real] : (((f3(f4,f5) != X0 | ~$less(f5,f7)) | ~$less(X0,f5)) & 0.0 = X0)),
% 4.15/1.19    inference(ennf_transformation,[],[f385])).
% 4.15/1.19  
% 4.15/1.19  tff(f610,plain,(
% 4.15/1.19    ? [X0 : $real] : ((f3(f4,f5) != X0 | ~$less(f5,f7) | ~$less(X0,f5)) & 0.0 = X0)),
% 4.15/1.19    inference(flattening,[],[f609])).
% 4.15/1.19  
% 4.15/1.19  tff(f611,plain,(
% 4.15/1.19    (f3(f4,f5) != 0.0 | ~$less(f5,$product(2.0,f7))) | ~$less(f7,f5)),
% 4.15/1.19    inference(ennf_transformation,[],[f12])).
% 4.15/1.19  
% 4.15/1.19  tff(f612,plain,(
% 4.15/1.19    f3(f4,f5) != 0.0 | ~$less(f5,$product(2.0,f7)) | ~$less(f7,f5)),
% 4.15/1.19    inference(flattening,[],[f611])).
% 4.15/1.19  
% 4.15/1.19  tff(f649,plain,(
% 4.15/1.19    ? [X0 : $real,X1 : $real] : (! [X2 : $real] : (X0 = X2 | (f3(f6,X2) != X1 | $less(2.0,X2) | $less(X2,X1))) & f3(f6,X0) = X1 & ~$less(2.0,X0) & ~$less(X0,X1) & 0.0 = X1)),
% 4.15/1.19    inference(ennf_transformation,[],[f433])).
% 4.15/1.19  
% 4.15/1.19  tff(f650,plain,(
% 4.15/1.19    ? [X0 : $real,X1 : $real] : (! [X2 : $real] : (X0 = X2 | f3(f6,X2) != X1 | $less(2.0,X2) | $less(X2,X1)) & f3(f6,X0) = X1 & ~$less(2.0,X0) & ~$less(X0,X1) & 0.0 = X1)),
% 4.15/1.19    inference(flattening,[],[f649])).
% 4.15/1.19  
% 4.15/1.19  tff(f788,plain,(
% 4.15/1.19    ? [X0 : $real] : ((f3(f4,f5) != X0 | ~$less(f5,f7) | ~$less(X0,f5)) & 0.0 = X0) => ((f3(f4,f5) != sK3 | ~$less(f5,f7) | ~$less(sK3,f5)) & 0.0 = sK3)),
% 4.15/1.19    introduced(choice_axiom,[])).
% 4.15/1.19  
% 4.15/1.19  tff(f789,plain,(
% 4.15/1.19    (f3(f4,f5) != sK3 | ~$less(f5,f7) | ~$less(sK3,f5)) & 0.0 = sK3),
% 4.15/1.19    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f604,f788])).
% 4.15/1.19  
% 4.15/1.19  tff(f790,plain,(
% 4.15/1.19    ? [X0 : $real] : ((f3(f4,f5) != X0 | ~$less(f5,f7) | ~$less(X0,f5)) & 0.0 = X0) => ((f3(f4,f5) != sK4 | ~$less(f5,f7) | ~$less(sK4,f5)) & 0.0 = sK4)),
% 4.15/1.19    introduced(choice_axiom,[])).
% 4.15/1.19  
% 4.15/1.19  tff(f791,plain,(
% 4.15/1.19    (f3(f4,f5) != sK4 | ~$less(f5,f7) | ~$less(sK4,f5)) & 0.0 = sK4),
% 4.15/1.19    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f610,f790])).
% 4.15/1.19  
% 4.15/1.19  tff(f834,plain,(
% 4.15/1.19    ? [X0 : $real,X1 : $real] : (! [X2 : $real] : (X0 = X2 | f3(f6,X2) != X1 | $less(2.0,X2) | $less(X2,X1)) & f3(f6,X0) = X1 & ~$less(2.0,X0) & ~$less(X0,X1) & 0.0 = X1) => (! [X2 : $real] : (sK29 = X2 | f3(f6,X2) != sK30 | $less(2.0,X2) | $less(X2,sK30)) & sK30 = f3(f6,sK29) & ~$less(2.0,sK29) & ~$less(sK29,sK30) & 0.0 = sK30)),
% 4.15/1.19    introduced(choice_axiom,[])).
% 4.15/1.19  
% 4.15/1.19  tff(f835,plain,(
% 4.15/1.19    ! [X2 : $real] : (sK29 = X2 | f3(f6,X2) != sK30 | $less(2.0,X2) | $less(X2,sK30)) & sK30 = f3(f6,sK29) & ~$less(2.0,sK29) & ~$less(sK29,sK30) & 0.0 = sK30),
% 4.15/1.19    inference(skolemisation,[status(esa),new_symbols(skolem,[sK29,sK30])],[f650,f834])).
% 4.15/1.19  
% 4.15/1.19  tff(f1092,plain,(
% 4.15/1.19    f3(f4,f5) = 0.0),
% 4.15/1.19    inference(cnf_transformation,[],[f602])).
% 4.15/1.19  
% 4.15/1.19  tff(f1094,plain,(
% 4.15/1.19    0.0 = sK3),
% 4.15/1.19    inference(cnf_transformation,[],[f789])).
% 4.15/1.19  
% 4.15/1.19  tff(f1095,plain,(
% 4.15/1.19    f3(f4,f5) != sK3 | ~$less(f5,f7) | ~$less(sK3,f5)),
% 4.15/1.19    inference(cnf_transformation,[],[f789])).
% 4.15/1.19  
% 4.15/1.19  tff(f1097,plain,(
% 4.15/1.19    f3(f4,f5) != 0.0 | ~$less(f5,$product(2.0,f7)) | ~$less(f7,f5)),
% 4.15/1.19    inference(cnf_transformation,[],[f607])).
% 4.15/1.19  
% 4.15/1.19  tff(f1100,plain,(
% 4.15/1.19    $less(0.0,f5)),
% 4.15/1.19    inference(cnf_transformation,[],[f8])).
% 4.15/1.19  
% 4.15/1.19  tff(f1101,plain,(
% 4.15/1.19    $less(f5,$product(2.0,f7))),
% 4.15/1.19    inference(cnf_transformation,[],[f9])).
% 4.15/1.19  
% 4.15/1.19  tff(f1103,plain,(
% 4.15/1.19    0.0 = sK4),
% 4.15/1.19    inference(cnf_transformation,[],[f791])).
% 4.15/1.19  
% 4.15/1.19  tff(f1104,plain,(
% 4.15/1.19    f3(f4,f5) != sK4 | ~$less(f5,f7) | ~$less(sK4,f5)),
% 4.15/1.19    inference(cnf_transformation,[],[f791])).
% 4.15/1.19  
% 4.15/1.19  tff(f1105,plain,(
% 4.15/1.19    f3(f4,f5) != 0.0 | ~$less(f5,$product(2.0,f7)) | ~$less(f7,f5)),
% 4.15/1.19    inference(cnf_transformation,[],[f612])).
% 4.15/1.19  
% 4.15/1.19  tff(f1125,plain,(
% 4.15/1.19    ~$less(f7,0.0)),
% 4.15/1.19    inference(cnf_transformation,[],[f26])).
% 4.15/1.19  
% 4.15/1.19  tff(f1129,plain,(
% 4.15/1.19    $less(0.0,f7)),
% 4.15/1.19    inference(cnf_transformation,[],[f29])).
% 4.15/1.19  
% 4.15/1.19  tff(f1131,plain,(
% 4.15/1.19    $less(f7,4.0)),
% 4.15/1.19    inference(cnf_transformation,[],[f31])).
% 4.15/1.19  
% 4.15/1.19  tff(f1134,plain,(
% 4.15/1.19    ~$less(f7,2.0)),
% 4.15/1.19    inference(cnf_transformation,[],[f271])).
% 4.15/1.19  
% 4.15/1.19  tff(f1209,plain,(
% 4.15/1.19    0.0 = sK30),
% 4.15/1.19    inference(cnf_transformation,[],[f835])).
% 4.15/1.19  
% 4.15/1.19  tff(f1210,plain,(
% 4.15/1.19    ~$less(sK29,sK30)),
% 4.15/1.19    inference(cnf_transformation,[],[f835])).
% 4.15/1.19  
% 4.15/1.19  tff(f1211,plain,(
% 4.15/1.19    ~$less(2.0,sK29)),
% 4.15/1.19    inference(cnf_transformation,[],[f835])).
% 4.15/1.19  
% 4.15/1.19  tff(f1622,plain,(
% 4.15/1.19    f3(f4,f5) != 0.0 | ~$less(f5,f7) | ~$less(0.0,f5)),
% 4.15/1.19    inference(definition_unfolding,[],[f1095,f1094,f1094])).
% 4.15/1.19  
% 4.15/1.19  tff(f1623,plain,(
% 4.15/1.19    f3(f4,f5) != 0.0 | ~$less(f5,f7) | ~$less(0.0,f5)),
% 4.15/1.19    inference(definition_unfolding,[],[f1104,f1103,f1103])).
% 4.15/1.19  
% 4.15/1.19  tff(f1648,plain,(
% 4.15/1.19    ~$less(sK29,0.0)),
% 4.15/1.19    inference(definition_unfolding,[],[f1210,f1209])).
% 4.15/1.19  
% 4.15/1.19  cnf(c_62,negated_conjecture,
% 4.15/1.19      (~$less_real(X0_2,X0_2)),
% 4.15/1.19      inference(cnf_transformation,[],[f370])).
% 4.15/1.19  
% 4.15/1.19  cnf(c_74,negated_conjecture,
% 4.15/1.19      (~$less_int(X0_3,X0_3)),
% 4.15/1.19      inference(cnf_transformation,[],[f358])).
% 4.15/1.19  
% 4.15/1.19  cnf(c_82,negated_conjecture,
% 4.15/1.19      (f3(f4,f5) = 0.0),
% 4.15/1.19      inference(cnf_transformation,[],[f1092])).
% 4.15/1.19  
% 4.15/1.19  cnf(c_83,negated_conjecture,
% 4.15/1.19      (f3(f4,f5) != 0.0|~$less_real(f5,f7)|~$less_real(0.0,f5)),
% 4.15/1.19      inference(cnf_transformation,[],[f1622])).
% 4.15/1.19  
% 4.15/1.19  cnf(c_85,negated_conjecture,
% 4.15/1.19      (f3(f4,f5) != 0.0|~$less_real(f5,$product_real(2.0,f7))|~$less_real(f7,f5)),
% 4.15/1.19      inference(cnf_transformation,[],[f1097])).
% 4.15/1.19  
% 4.15/1.19  cnf(c_88,negated_conjecture,
% 4.15/1.19      ($less_real(0.0,f5)),
% 4.15/1.19      inference(cnf_transformation,[],[f1100])).
% 4.15/1.19  
% 4.15/1.19  cnf(c_89,negated_conjecture,
% 4.15/1.19      ($less_real(f5,$product_real(2.0,f7))),
% 4.15/1.19      inference(cnf_transformation,[],[f1101])).
% 4.15/1.19  
% 4.15/1.19  cnf(c_91,negated_conjecture,
% 4.15/1.19      (f3(f4,f5) != 0.0|~$less_real(f5,f7)|~$less_real(0.0,f5)),
% 4.15/1.19      inference(cnf_transformation,[],[f1623])).
% 4.15/1.19  
% 4.15/1.19  cnf(c_92,negated_conjecture,
% 4.15/1.19      (f3(f4,f5) != 0.0|~$less_real(f5,$product_real(2.0,f7))|~$less_real(f7,f5)),
% 4.15/1.19      inference(cnf_transformation,[],[f1105])).
% 4.15/1.19  
% 4.15/1.19  cnf(c_107,negated_conjecture,
% 4.15/1.19      (~$less_real(f7,0.0)),
% 4.15/1.19      inference(cnf_transformation,[],[f1125])).
% 4.15/1.19  
% 4.15/1.19  cnf(c_110,negated_conjecture,
% 4.15/1.19      ($less_real(0.0,f7)),
% 4.15/1.19      inference(cnf_transformation,[],[f1129])).
% 4.15/1.19  
% 4.15/1.19  cnf(c_112,negated_conjecture,
% 4.15/1.19      ($less_real(f7,4.0)),
% 4.15/1.19      inference(cnf_transformation,[],[f1131])).
% 4.15/1.19  
% 4.15/1.19  cnf(c_115,negated_conjecture,
% 4.15/1.19      (~$less_real(f7,2.0)),
% 4.15/1.19      inference(cnf_transformation,[],[f1134])).
% 4.15/1.19  
% 4.15/1.19  cnf(c_177,negated_conjecture,
% 4.15/1.19      (~$less_real(2.0,sK29)),
% 4.15/1.19      inference(cnf_transformation,[],[f1211])).
% 4.15/1.19  
% 4.15/1.19  cnf(c_178,negated_conjecture,
% 4.15/1.19      (~$less_real(sK29,0.0)),
% 4.15/1.19      inference(cnf_transformation,[],[f1648])).
% 4.15/1.19  
% 4.15/1.19  cnf(c_430,plain,($less_int(0,1)),theory(arith)).
% 4.15/1.19  
% 4.15/1.19  cnf(c_431,plain,($less_int(1,2)),theory(arith)).
% 4.15/1.19  
% 4.15/1.19  cnf(c_432,plain,($less_real(0.0,1.0)),theory(arith)).
% 4.15/1.19  
% 4.15/1.19  cnf(c_433,plain,($less_real(1.0,2.0)),theory(arith)).
% 4.15/1.19  
% 4.15/1.19  cnf(c_434,plain,($less_real(2.0,3.0)),theory(arith)).
% 4.15/1.19  
% 4.15/1.19  cnf(c_435,plain,($less_real(3.0,4.0)),theory(arith)).
% 4.15/1.19  
% 4.15/1.19  cnf(c_436,plain,($less_real(4.0,5.0)),theory(arith)).
% 4.15/1.19  
% 4.15/1.19  cnf(c_437,plain,($less_real(5.0,6.0)),theory(arith)).
% 4.15/1.19  
% 4.15/1.19  cnf(c_438,plain,($less_real(6.0,239.0)),theory(arith)).
% 4.15/1.19  
% 4.15/1.19  cnf(c_652,negated_conjecture,
% 4.15/1.19      (~$less_real(f5,f7)),
% 4.15/1.19      inference(global_subsumption_just,[status(thm)],[c_83,c_88,c_82,c_91])).
% 4.15/1.19  
% 4.15/1.19  cnf(c_656,negated_conjecture,
% 4.15/1.19      (~$less_real(f7,f5)),
% 4.15/1.19      inference(global_subsumption_just,[status(thm)],[c_85,c_89,c_82,c_92])).
% 4.15/1.19  
% 4.15/1.19  cnf(c_2653,plain,
% 4.15/1.19      ($false),
% 4.15/1.19      inference(smt_impl_just,
% 4.15/1.19                [status(thm)],
% 4.15/1.19                [c_656,c_652,c_438,c_437,c_436,c_435,c_434,c_433,c_432,
% 4.15/1.19                 c_431,c_430,c_178,c_177,c_115,c_112,c_110,c_107,c_88,c_74,
% 4.15/1.19                 c_62])).
% 4.15/1.19  
% 4.15/1.19  
% 4.15/1.19  % SZS output end CNFRefutation for theBenchmark.p
% 4.15/1.19  
% 4.15/1.19  
%------------------------------------------------------------------------------