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hopCoP---0.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SYN618-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n031.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 : Fri Jul 25 09:28:08 PM UTC 2025

% Result   : Unsatisfiable 138.92s 18.44s
% Output   : CNFRefutation 138.92s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named p5_3)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,plain,
    p5(X0,X0),
    inference(cnf,[status(esa)],[p5_3]) ).

cnf(l0,plain,
    p5(f6(f7(c22)),f6(f7(c22))),
    inference(instantiation,[status(thm)],[2]) ).

cnf(21,plain,
    ( ~ p5(X0,X1)
    | ~ p5(X0,X2)
    | p5(X1,X2) ),
    inference(cnf,[status(esa)],[p5_22]) ).

cnf(l1,plain,
    ( ~ p5(f6(f7(c22)),f8(c17,c23))
    | ~ p5(f6(f7(c22)),f6(f7(c22)))
    | p5(f8(c17,c23),f6(f7(c22))) ),
    inference(instantiation,[status(thm)],[21]) ).

cnf(30,plain,
    ( ~ p5(f8(c17,X0),f6(f7(c22)))
    | ~ p13(X0,c21)
    | ~ p13(c19,X0)
    | p5(X0,c20) ),
    inference(cnf,[status(esa)],[p5_31]) ).

cnf(l4,plain,
    ( ~ p5(f8(c17,c23),f6(f7(c22)))
    | ~ p13(c23,c21)
    | ~ p13(c19,c23)
    | p5(c23,c20) ),
    inference(instantiation,[status(thm)],[30]) ).

cnf(l2,plain,
    ( ~ p5(f8(c16,c20),f6(f7(c22)))
    | ~ p5(f8(c16,c20),f8(c17,c23))
    | p5(f6(f7(c22)),f8(c17,c23)) ),
    inference(instantiation,[status(thm)],[21]) ).

cnf(13,plain,
    p5(f8(c16,c20),f6(f7(c22))),
    inference(cnf,[status(esa)],[p5_14]) ).

cnf(l5,plain,
    p5(f8(c16,c20),f6(f7(c22))),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l3,plain,
    ( ~ p5(f8(f3(c16),c23),f8(c16,c20))
    | ~ p5(f8(f3(c16),c23),f8(c17,c23))
    | p5(f8(c16,c20),f8(c17,c23)) ),
    inference(instantiation,[status(thm)],[21]) ).

cnf(l64,plain,
    ( ~ p5(f8(c16,c20),f8(f3(c16),c23))
    | ~ p5(f8(c16,c20),f8(c16,c20))
    | p5(f8(f3(c16),c23),f8(c16,c20)) ),
    inference(instantiation,[status(thm)],[21]) ).

cnf(29,plain,
    ( ~ p2(X0,X1)
    | ~ p5(X2,X3)
    | p5(f8(X0,X2),f8(X1,X3)) ),
    inference(cnf,[status(esa)],[p5_30]) ).

cnf(l123,plain,
    ( ~ p2(c16,c16)
    | ~ p5(c20,c20)
    | p5(f8(c16,c20),f8(c16,c20)) ),
    inference(instantiation,[status(thm)],[29]) ).

cnf(l127,plain,
    p5(c20,c20),
    inference(instantiation,[status(thm)],[2]) ).

cnf(8,plain,
    p13(c19,c23),
    inference(cnf,[status(esa)],[p13_9]) ).

cnf(l8,plain,
    p13(c19,c23),
    inference(instantiation,[status(thm)],[8]) ).

cnf(l63,plain,
    ( ~ p5(f8(c17,c23),f8(f3(c16),c23))
    | ~ p5(f8(c17,c23),f8(c17,c23))
    | p5(f8(f3(c16),c23),f8(c17,c23)) ),
    inference(instantiation,[status(thm)],[21]) ).

cnf(l166,plain,
    ( ~ p2(f3(c16),f3(c16))
    | ~ p5(c23,c20)
    | p5(f8(f3(c16),c23),f8(f3(c16),c20)) ),
    inference(instantiation,[status(thm)],[29]) ).

cnf(7,plain,
    p13(c23,c21),
    inference(cnf,[status(esa)],[p13_8]) ).

cnf(l73,plain,
    p13(c23,c21),
    inference(instantiation,[status(thm)],[7]) ).

cnf(l285,plain,
    ( ~ p5(f8(f3(c16),c23),f8(f3(c16),c20))
    | ~ p5(f8(f3(c16),c23),f8(f3(c16),c20))
    | p5(f8(f3(c16),c20),f8(f3(c16),c20)) ),
    inference(instantiation,[status(thm)],[21]) ).

cnf(l144,plain,
    ( ~ p2(c17,c17)
    | ~ p5(c23,c23)
    | p5(f8(c17,c23),f8(c17,c23)) ),
    inference(instantiation,[status(thm)],[29]) ).

cnf(l115,plain,
    ( ~ p5(f6(f7(c22)),f8(c16,c20))
    | ~ p5(f6(f7(c22)),f8(f3(c16),c23))
    | p5(f8(c16,c20),f8(f3(c16),c23)) ),
    inference(instantiation,[status(thm)],[21]) ).

cnf(l287,plain,
    ( ~ p5(f8(f3(c16),c20),f6(f7(c22)))
    | ~ p5(f8(f3(c16),c20),f8(f3(c16),c20))
    | p5(f6(f7(c22)),f8(f3(c16),c20)) ),
    inference(instantiation,[status(thm)],[21]) ).

cnf(23,plain,
    ( ~ p2(X0,X1)
    | ~ p2(X0,X2)
    | p2(X1,X2) ),
    inference(cnf,[status(esa)],[p2_24]) ).

cnf(l168,plain,
    ( ~ p2(c17,f3(c16))
    | ~ p2(c17,f3(c16))
    | p2(f3(c16),f3(c16)) ),
    inference(instantiation,[status(thm)],[23]) ).

cnf(l222,plain,
    ( ~ p5(f8(c16,c20),f6(f7(c22)))
    | ~ p5(f8(c16,c20),f8(c16,c20))
    | p5(f6(f7(c22)),f8(c16,c20)) ),
    inference(instantiation,[status(thm)],[21]) ).

cnf(4,plain,
    p2(X0,X0),
    inference(cnf,[status(esa)],[p2_5]) ).

cnf(l628,plain,
    p2(c16,c16),
    inference(instantiation,[status(thm)],[4]) ).

cnf(l116,plain,
    ( ~ p5(f8(f3(c16),c23),f6(f7(c22)))
    | ~ p5(f8(f3(c16),c23),f8(f3(c16),c23))
    | p5(f6(f7(c22)),f8(f3(c16),c23)) ),
    inference(instantiation,[status(thm)],[21]) ).

cnf(l187,plain,
    p5(c23,c23),
    inference(instantiation,[status(thm)],[2]) ).

cnf(11,plain,
    p2(c17,f3(c16)),
    inference(cnf,[status(esa)],[p2_12]) ).

cnf(l170,plain,
    p2(c17,f3(c16)),
    inference(instantiation,[status(thm)],[11]) ).

cnf(l121,plain,
    p5(f8(f3(c16),c23),f8(f3(c16),c23)),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l288,plain,
    ( ~ p5(f8(f3(c16),c23),f8(f3(c16),c20))
    | ~ p5(f8(f3(c16),c23),f6(f7(c22)))
    | p5(f8(f3(c16),c20),f6(f7(c22))) ),
    inference(instantiation,[status(thm)],[21]) ).

cnf(l169,plain,
    p2(c17,f3(c16)),
    inference(instantiation,[status(thm)],[11]) ).

cnf(l202,plain,
    p2(c17,c17),
    inference(instantiation,[status(thm)],[4]) ).

cnf(l289,plain,
    ( ~ p5(f6(f7(c22)),f8(f3(c16),c20))
    | ~ p5(f6(f7(c22)),f6(f7(c22)))
    | p5(f8(f3(c16),c20),f6(f7(c22))) ),
    inference(instantiation,[status(thm)],[21]) ).

cnf(l223,plain,
    p5(f8(c16,c20),f6(f7(c22))),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l149,plain,
    ( ~ p2(c17,f3(c16))
    | ~ p5(c23,c23)
    | p5(f8(c17,c23),f8(f3(c16),c23)) ),
    inference(instantiation,[status(thm)],[29]) ).

cnf(l197,plain,
    p2(c17,f3(c16)),
    inference(instantiation,[status(thm)],[11]) ).

cnf(l151,plain,
    p5(c23,c23),
    inference(instantiation,[status(thm)],[2]) ).

cnf(15,plain,
    p5(f8(f3(c16),c23),f6(f7(c22))),
    inference(cnf,[status(esa)],[p5_16]) ).

cnf(l309,plain,
    p5(f8(f3(c16),c23),f6(f7(c22))),
    inference(instantiation,[status(thm)],[15]) ).

cnf(16,plain,
    ~ p5(f8(f3(c16),c20),f6(f7(c22))),
    inference(cnf,[status(esa)],[not_p5_17]) ).

cnf(l292,plain,
    ~ p5(f8(f3(c16),c20),f6(f7(c22))),
    inference(instantiation,[status(thm)],[16]) ).

cnf(l659,plain,
    p5(f8(f3(c16),c23),f6(f7(c22))),
    inference(instantiation,[status(thm)],[15]) ).

cnf(l224,plain,
    p5(f8(c16,c20),f8(c16,c20)),
    inference(instantiation,[status(thm)],[2]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l4,l2,l5,l3,l64,l123,l127,l8,l63,l166,l73,l285,l144,l115,l287,l168,l222,l628,l116,l187,l170,l121,l288,l169,l202,l289,l223,l149,l197,l151,l309,l292,l659,l224]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYN618-1 : TPTP v9.0.0. Released v2.5.0.
% 0.03/0.13  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Computer : n031.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 : Tue Jul 22 17:38:49 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % launching worker at depth: 1
% 0.14/0.35  % launching worker at depth: 6
% 0.14/0.35  % launching worker at depth: 2
% 0.14/0.35  % launching worker at depth: 5
% 0.14/0.35  % launching worker at depth: 3
% 0.14/0.35  % launching worker at depth: 4
% 0.14/0.35  % launching worker at depth: 7
% 0.14/0.35  % launching worker at depth: 8
% 0.14/0.36  % launching worker at depth: 9
% 0.14/0.36  % launching worker at depth: 10
% 0.20/0.40  % launching worker at depth: 11
% 3.66/0.84  % launching worker at depth: 12
% 138.92/18.44  % SZS status Theorem for theBenchmark
% 138.92/18.44  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------