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hopCoP---0.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SYN703-1 : TPTP v9.0.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n028.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 09:28:19 PM UTC 2025

% Result   : Unsatisfiable 4.14s 0.89s
% Output   : CNFRefutation 4.14s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named p15_5)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,plain,
    p15(X0,X0),
    inference(cnf,[status(esa)],[p15_5]) ).

cnf(l0,plain,
    p15(c53,c53),
    inference(instantiation,[status(thm)],[4]) ).

cnf(52,plain,
    ( ~ p15(X0,X1)
    | ~ p4(X2,X3)
    | ~ p47(X2,X0)
    | p47(X3,X1) ),
    inference(cnf,[status(esa)],[p47_53]) ).

cnf(l1,plain,
    ( ~ p15(c53,c53)
    | ~ p4(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),f5(c48,f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55))))
    | ~ p47(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),c53)
    | p47(f5(c48,f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55))),c53) ),
    inference(instantiation,[status(thm)],[52]) ).

cnf(32,plain,
    ( ~ p4(X0,X1)
    | ~ p4(X0,X2)
    | p4(X1,X2) ),
    inference(cnf,[status(esa)],[p4_33]) ).

cnf(l33,plain,
    ( ~ p4(f5(c48,f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55))),f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)))
    | ~ p4(f5(c48,f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55))),f5(c48,f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55))))
    | p4(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),f5(c48,f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55)))) ),
    inference(instantiation,[status(thm)],[32]) ).

cnf(59,plain,
    ( ~ p2(X0,X1)
    | ~ p3(X2,X3)
    | p4(f5(X0,X2),f5(X1,X3)) ),
    inference(cnf,[status(esa)],[p4_60]) ).

cnf(l42,plain,
    ( ~ p2(c48,c48)
    | ~ p3(f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55)),f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55))
    | p4(f5(c48,f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55))),f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55))) ),
    inference(instantiation,[status(thm)],[59]) ).

cnf(7,plain,
    p2(X0,X0),
    inference(cnf,[status(esa)],[p2_8]) ).

cnf(l45,plain,
    p2(c48,c48),
    inference(instantiation,[status(thm)],[7]) ).

cnf(73,plain,
    ( ~ p47(f5(c48,f8(f11(f13(c49,X0),X1),X2)),X3)
    | p47(X0,X3) ),
    inference(cnf,[status(esa)],[p47_74]) ).

cnf(l66,plain,
    ( ~ p47(f5(c48,f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55))),c53)
    | p47(f20(f22(f24(f26(c56,c50),c51),c52),c55),c53) ),
    inference(instantiation,[status(thm)],[73]) ).

cnf(76,plain,
    p47(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),c53),
    inference(cnf,[status(esa)],[p47_77]) ).

cnf(l3,plain,
    p47(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),c53),
    inference(instantiation,[status(thm)],[76]) ).

cnf(l44,plain,
    ( ~ p2(c48,c48)
    | ~ p3(f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55)),f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55)))
    | p4(f5(c48,f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55))),f5(c48,f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55)))) ),
    inference(instantiation,[status(thm)],[59]) ).

cnf(38,plain,
    ( ~ p3(X0,X1)
    | ~ p3(X0,X2)
    | p3(X1,X2) ),
    inference(cnf,[status(esa)],[p3_39]) ).

cnf(l43,plain,
    ( ~ p3(f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55),f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55)))
    | ~ p3(f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55),f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55))
    | p3(f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55)),f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)) ),
    inference(instantiation,[status(thm)],[38]) ).

cnf(l50,plain,
    p2(c48,c48),
    inference(instantiation,[status(thm)],[7]) ).

cnf(79,plain,
    p3(f16(f18(c54,f8(f11(f13(c49,X0),X1),X2)),X3),f8(f11(f13(c49,f20(f22(f24(f26(c56,X0),X1),X2),X3)),f30(f32(f34(f36(c57,X0),X1),X2),X3)),f40(f42(f44(f46(c58,X0),X1),X2),X3))),
    inference(cnf,[status(esa)],[p3_80]) ).

cnf(l47,plain,
    p3(f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55),f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55))),
    inference(instantiation,[status(thm)],[79]) ).

cnf(13,plain,
    p3(X0,X0),
    inference(cnf,[status(esa)],[p3_14]) ).

cnf(l52,plain,
    p3(f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55)),f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55))),
    inference(instantiation,[status(thm)],[13]) ).

cnf(l49,plain,
    p3(f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55),f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),
    inference(instantiation,[status(thm)],[13]) ).

cnf(74,plain,
    ( ~ p47(f20(f22(f24(f26(c56,X0),X1),X2),X3),X4)
    | p47(X0,X4) ),
    inference(cnf,[status(esa)],[p47_75]) ).

cnf(l67,plain,
    ( ~ p47(f20(f22(f24(f26(c56,c50),c51),c52),c55),c53)
    | p47(c50,c53) ),
    inference(instantiation,[status(thm)],[74]) ).

cnf(75,plain,
    ( ~ p47(X0,X1)
    | p47(f5(c48,f8(f11(f13(c49,X0),X2),X3)),X1) ),
    inference(cnf,[status(esa)],[p47_76]) ).

cnf(l68,plain,
    ( ~ p47(c50,c53)
    | p47(f5(c48,f8(f11(f13(c49,c50),c51),c52)),c53) ),
    inference(instantiation,[status(thm)],[75]) ).

cnf(50,plain,
    ~ p47(f5(c48,f8(f11(f13(c49,c50),c51),c52)),c53),
    inference(cnf,[status(esa)],[not_p47_51]) ).

cnf(l76,plain,
    ~ p47(f5(c48,f8(f11(f13(c49,c50),c51),c52)),c53),
    inference(instantiation,[status(thm)],[50]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l33,l42,l45,l66,l3,l44,l43,l50,l47,l52,l49,l67,l68,l76]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN703-1 : TPTP v9.0.0. Released v2.5.0.
% 0.06/0.13  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Jul 22 17:45:49 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % launching worker at depth: 1
% 0.13/0.35  % launching worker at depth: 2
% 0.13/0.35  % launching worker at depth: 3
% 0.13/0.35  % launching worker at depth: 5
% 0.13/0.35  % launching worker at depth: 4
% 0.13/0.35  % launching worker at depth: 7
% 0.13/0.35  % launching worker at depth: 6
% 0.13/0.36  % launching worker at depth: 8
% 0.13/0.36  % launching worker at depth: 9
% 0.13/0.37  % launching worker at depth: 10
% 0.13/0.39  % launching worker at depth: 11
% 1.88/0.62  % launching worker at depth: 12
% 4.14/0.89  % SZS status Theorem for theBenchmark
% 4.14/0.89  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------