%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN690-1 : 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 : n022.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 09:28:17 PM UTC 2025
% Result : Unsatisfiable 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named p4_5)
% Comments :
%------------------------------------------------------------------------------
cnf(4,plain,
p4(X0,X0),
inference(cnf,[status(esa)],[p4_5]) ).
cnf(l0,plain,
p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39))),
inference(instantiation,[status(thm)],[4]) ).
cnf(26,plain,
( ~ p4(X0,X1)
| ~ p4(X0,X2)
| p4(X1,X2) ),
inference(cnf,[status(esa)],[p4_27]) ).
cnf(l1,plain,
( ~ p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)))
| ~ p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)))
| p4(f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39))) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(56,plain,
( p4(f5(f7(c39,X0),X1),f5(f7(c39,X2),X1))
| p35(f10(c37,f12(f14(f16(c41,X0),X2),X1)),X1) ),
inference(cnf,[status(esa)],[p4_57]) ).
cnf(l2,plain,
( p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)))
| p35(f10(c37,f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f30(f32(c42,c37),c39)) ),
inference(instantiation,[status(thm)],[56]) ).
cnf(l3,plain,
( ~ p4(f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)))
| ~ p4(f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)))
| p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(57,plain,
( ~ p4(f5(X0,f12(f14(f16(c41,X0),X1),X2)),f5(X1,f12(f14(f16(c41,X0),X1),X2)))
| p4(f5(f7(c39,X0),X2),f5(f7(c39,X1),X2)) ),
inference(cnf,[status(esa)],[p4_58]) ).
cnf(l6,plain,
( ~ p4(f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,f26(f28(c44,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,f26(f28(c44,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))))
| p4(f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))) ),
inference(instantiation,[status(thm)],[57]) ).
cnf(60,plain,
( ~ p4(f5(X0,f18(f20(f22(f24(c45,X1),X2),X0),X3)),f5(f7(X2,X0),f18(f20(f22(f24(c45,X1),X2),X0),X3)))
| ~ p4(f5(X3,f18(f20(f22(f24(c45,X1),X2),X0),X3)),f5(f7(X2,X3),f18(f20(f22(f24(c45,X1),X2),X0),X3)))
| ~ p34(c36,X1)
| ~ p35(f10(X1,X4),f30(f32(c42,X1),X2))
| p4(f5(f26(f28(c43,X1),X2),X4),f5(f26(f28(c44,X1),X2),X4))
| p2(X0,X3) ),
inference(cnf,[status(esa)],[p2_61]) ).
cnf(l4,plain,
( ~ p4(f5(c38,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c38),f18(f20(f22(f24(c45,c37),c39),c38),c40)))
| ~ p4(f5(c40,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c40),f18(f20(f22(f24(c45,c37),c39),c38),c40)))
| ~ p34(c36,c37)
| ~ p35(f10(c37,f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f30(f32(c42,c37),c39))
| p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))))
| p2(c38,c40) ),
inference(instantiation,[status(thm)],[60]) ).
cnf(l84,plain,
( ~ p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,f26(f28(c43,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))))
| p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))) ),
inference(instantiation,[status(thm)],[57]) ).
cnf(18,plain,
p34(c36,c37),
inference(cnf,[status(esa)],[p34_19]) ).
cnf(l83,plain,
p34(c36,c37),
inference(instantiation,[status(thm)],[18]) ).
cnf(61,plain,
( ~ p4(f5(X0,f18(f20(f22(f24(c45,X1),X2),X0),X3)),f5(f7(X2,X0),f18(f20(f22(f24(c45,X1),X2),X0),X3)))
| ~ p4(f5(X3,f18(f20(f22(f24(c45,X1),X2),X0),X3)),f5(f7(X2,X3),f18(f20(f22(f24(c45,X1),X2),X0),X3)))
| ~ p4(f5(f7(X2,f26(f28(c43,X1),X2)),f30(f32(c42,X1),X2)),f5(f7(X2,f26(f28(c44,X1),X2)),f30(f32(c42,X1),X2)))
| ~ p34(c36,X1)
| p2(X0,X3) ),
inference(cnf,[status(esa)],[p2_62]) ).
cnf(l5,plain,
( ~ p4(f5(c38,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c38),f18(f20(f22(f24(c45,c37),c39),c38),c40)))
| ~ p4(f5(c40,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c40),f18(f20(f22(f24(c45,c37),c39),c38),c40)))
| ~ p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)))
| ~ p34(c36,c37)
| p2(c38,c40) ),
inference(instantiation,[status(thm)],[61]) ).
cnf(l8,plain,
p4(f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,f26(f28(c44,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,f26(f28(c44,c37),c39)),f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39)))),
inference(instantiation,[status(thm)],[4]) ).
cnf(19,plain,
~ p2(c38,c40),
inference(cnf,[status(esa)],[not_p2_20]) ).
cnf(l85,plain,
~ p2(c38,c40),
inference(instantiation,[status(thm)],[19]) ).
cnf(l17,plain,
p34(c36,c37),
inference(instantiation,[status(thm)],[18]) ).
cnf(l67,plain,
~ p2(c38,c40),
inference(instantiation,[status(thm)],[19]) ).
cnf(21,plain,
p4(f5(c38,X0),f5(f7(c39,c38),X0)),
inference(cnf,[status(esa)],[p4_22]) ).
cnf(l19,plain,
p4(f5(c38,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c38),f18(f20(f22(f24(c45,c37),c39),c38),c40))),
inference(instantiation,[status(thm)],[21]) ).
cnf(l16,plain,
p4(f5(c38,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c38),f18(f20(f22(f24(c45,c37),c39),c38),c40))),
inference(instantiation,[status(thm)],[21]) ).
cnf(20,plain,
p4(f5(c40,X0),f5(f7(c39,c40),X0)),
inference(cnf,[status(esa)],[p4_21]) ).
cnf(l14,plain,
p4(f5(c40,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c40),f18(f20(f22(f24(c45,c37),c39),c38),c40))),
inference(instantiation,[status(thm)],[20]) ).
cnf(l18,plain,
p4(f5(c40,f18(f20(f22(f24(c45,c37),c39),c38),c40)),f5(f7(c39,c40),f18(f20(f22(f24(c45,c37),c39),c38),c40))),
inference(instantiation,[status(thm)],[20]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l6,l4,l84,l83,l5,l8,l85,l17,l67,l19,l16,l14,l18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN690-1 : 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
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Jul 22 17:45:19 EDT 2025
% 0.13/0.35 % 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: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 9
% 0.20/0.38 % launching worker at depth: 10
% 0.20/0.41 % launching worker at depth: 11
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------