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G4Plus---1.5.2.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : G4Plus---1.5.2
% Problem  : NUM853+2 : TPTP v9.2.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n018.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 12 07:08:11 PM UTC 2026

% Result   : Theorem 0.62s 1.37s
% Output   : Proof 0.62s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM853+2 : TPTP v9.2.1. Released v4.1.0.
% 0.12/0.13  % Command  : g4plus.sh /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.34  % Computer : n018.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Mon May 11 13:23:48 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.62/1.37  % SZS status Theorem
% 0.62/1.38  % SZS output start Proof
% 0.62/1.38  
% 0.62/1.38  ===============================================================
% 0.62/1.38  TPTP Problem: holds(conseq(307), 490, 0) (conjecture with 36 axiom(s))
% 0.62/1.38    Axioms: [holds(antec(307), 489, 0),ass(cond(299, 0), 0),ass(cond(299, 0), 1),ass(cond(299, 0), 2),ass(cond(290, 0), 0),ass(cond(281, 0), 0),ass(cond(270, 0), 0),ass(cond(261, 0), 0),ass(cond(253, 0), 0),qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0))),ass(cond(241, 0), 0),ass(cond(234, 0), 0),ass(cond(228, 0), 0),ass(cond(223, 0), 0),ass(cond(147, 0), 0),ass(cond(140, 0), 0),ass(cond(goal(130), 0), 0),ass(cond(goal(130), 0), 1),ass(cond(goal(130), 0), 2),ass(cond(goal(130), 0), 3),def(cond(conseq(axiom(3)), 12), 1),def(cond(conseq(axiom(3)), 11), 1),ass(cond(goal(88), 0), 0),ass(cond(goal(88), 0), 1),ass(cond(goal(88), 0), 2),ass(cond(goal(88), 0), 3),ass(cond(81, 0), 0),ass(cond(73, 0), 0),ass(cond(61, 0), 0),ass(cond(52, 0), 0),ass(cond(43, 0), 0),ass(cond(33, 0), 0),qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0))),ass(cond(20, 0), 0),ass(cond(12, 0), 0),ass(cond(6, 0), 0)]
% 0.62/1.38  ===============================================================
% 0.62/1.38  
% 0.62/1.38  Combined formula: 36 axiom(s) => conjecture
% 0.62/1.38  
% 0.62/1.38  % Equality/functions detected -> nanoCoP oracle mode
% 0.62/1.38  nanoCoP : 
% 0.62/1.38  % 228,460 inferences, 0.107 CPU in 0.107 seconds (100% CPU, 2132314 Lips)
% 0.62/1.38  
% 0.62/1.38  % nanoCoP proof (equality/functions)
% 0.62/1.38  % nanoCoP proof is given at https://g4-mic.vidal-rosset.net/wasm/tinker via nanocop_proves(Your_Formula).
% 0.62/1.38  
% 0.62/1.38  % SZS output end Proof
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