%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN631-1 : 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 : n017.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 09:28:10 PM UTC 2025
% Result : Unsatisfiable 20.41s 2.92s
% Output : CNFRefutation 20.41s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named p10_1)
% Comments :
%------------------------------------------------------------------------------
cnf(0,plain,
p10(X0,X0),
inference(cnf,[status(esa)],[p10_1]) ).
cnf(l0,plain,
p10(f11(c24),f11(c24)),
inference(instantiation,[status(thm)],[0]) ).
cnf(28,plain,
( ~ p10(X0,X1)
| ~ p12(X2,X3)
| ~ p23(X2,X0)
| p23(X3,X1) ),
inference(cnf,[status(esa)],[p23_29]) ).
cnf(l1,plain,
( ~ p10(f11(c24),f11(c24))
| ~ p12(f13(f17(f18(f16(c27),X1_436)),f14(c28)),f13(f16(c27),f14(c28)))
| ~ p23(f13(f17(f18(f16(c27),X1_436)),f14(c28)),f11(c24))
| p23(f13(f16(c27),f14(c28)),f11(c24)) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(l3,plain,
( ~ p10(f11(c24),f11(c24))
| ~ p12(f13(f19(c24,c27,f14(c28)),f14(c28)),f13(f17(f18(f16(c27),X1_436)),f14(c28)))
| ~ p23(f13(f19(c24,c27,f14(c28)),f14(c28)),f11(c24))
| p23(f13(f17(f18(f16(c27),X1_436)),f14(c28)),f11(c24)) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(34,plain,
( ~ p23(f13(X0,X1),f11(f15(X2)))
| p23(f13(f19(X2,X0,X1),X1),f11(X2)) ),
inference(cnf,[status(esa)],[p23_35]) ).
cnf(l6,plain,
( ~ p23(f13(c27,f14(c28)),f11(f15(c24)))
| p23(f13(f19(c24,c27,f14(c28)),f14(c28)),f11(c24)) ),
inference(instantiation,[status(thm)],[34]) ).
cnf(31,plain,
( ~ p5(X0,X1)
| ~ p5(X2,X3)
| p12(f13(X0,X2),f13(X1,X3)) ),
inference(cnf,[status(esa)],[p12_32]) ).
cnf(l435,plain,
( ~ p5(f17(f18(f16(c27),X1_436)),f16(c27))
| ~ p5(f14(c28),f14(c28))
| p12(f13(f17(f18(f16(c27),X1_436)),f14(c28)),f13(f16(c27),f14(c28))) ),
inference(instantiation,[status(thm)],[31]) ).
cnf(11,plain,
p23(f13(c27,f14(c28)),f11(f15(c24))),
inference(cnf,[status(esa)],[p23_12]) ).
cnf(l10,plain,
p23(f13(c27,f14(c28)),f11(f15(c24))),
inference(instantiation,[status(thm)],[11]) ).
cnf(9,plain,
p5(f17(f18(X0,X1)),X0),
inference(cnf,[status(esa)],[p5_10]) ).
cnf(l436,plain,
p5(f17(f18(f16(c27),X1_436)),f16(c27)),
inference(instantiation,[status(thm)],[9]) ).
cnf(12,plain,
~ p23(f13(f16(c27),f14(c28)),f11(c24)),
inference(cnf,[status(esa)],[not_p23_13]) ).
cnf(l434,plain,
~ p23(f13(f16(c27),f14(c28)),f11(c24)),
inference(instantiation,[status(thm)],[12]) ).
cnf(l8,plain,
( ~ p5(f19(c24,c27,f14(c28)),f17(f18(f16(c27),X1_436)))
| ~ p5(f14(c28),f14(c28))
| p12(f13(f19(c24,c27,f14(c28)),f14(c28)),f13(f17(f18(f16(c27),X1_436)),f14(c28))) ),
inference(instantiation,[status(thm)],[31]) ).
cnf(16,plain,
( ~ p6(X0,X1)
| p5(f14(X0),f14(X1)) ),
inference(cnf,[status(esa)],[p5_17]) ).
cnf(l99,plain,
( ~ p6(c28,c28)
| p5(f14(c28),f14(c28)) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(24,plain,
( ~ p5(X0,X1)
| ~ p5(X0,X2)
| p5(X1,X2) ),
inference(cnf,[status(esa)],[p5_25]) ).
cnf(l98,plain,
( ~ p5(f16(f18(f20(c29),f19(c24,c27,f14(c28)))),f19(c24,c27,f14(c28)))
| ~ p5(f16(f18(f20(c29),f19(c24,c27,f14(c28)))),f17(f18(f16(c27),X1_436)))
| p5(f19(c24,c27,f14(c28)),f17(f18(f16(c27),X1_436))) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l101,plain,
( ~ p5(f16(f18(f16(f18(X0_159,f20(c29))),f16(f18(X0_132,f19(c24,c27,f14(c28)))))),f16(f18(f20(c29),f19(c24,c27,f14(c28)))))
| ~ p5(f16(f18(f16(f18(X0_159,f20(c29))),f16(f18(X0_132,f19(c24,c27,f14(c28)))))),f19(c24,c27,f14(c28)))
| p5(f16(f18(f20(c29),f19(c24,c27,f14(c28)))),f19(c24,c27,f14(c28))) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(17,plain,
( ~ p5(X0,X1)
| p5(f16(X0),f16(X1)) ),
inference(cnf,[status(esa)],[p5_18]) ).
cnf(l116,plain,
( ~ p5(f18(f16(f18(X0_159,f20(c29))),f16(f18(X0_132,f19(c24,c27,f14(c28))))),f18(f20(c29),f19(c24,c27,f14(c28))))
| p5(f16(f18(f16(f18(X0_159,f20(c29))),f16(f18(X0_132,f19(c24,c27,f14(c28)))))),f16(f18(f20(c29),f19(c24,c27,f14(c28))))) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l105,plain,
( ~ p5(f16(c27),f16(f18(f20(c29),f19(c24,c27,f14(c28)))))
| ~ p5(f16(c27),f17(f18(f16(c27),X1_436)))
| p5(f16(f18(f20(c29),f19(c24,c27,f14(c28)))),f17(f18(f16(c27),X1_436))) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(3,plain,
p6(X0,X0),
inference(cnf,[status(esa)],[p6_4]) ).
cnf(l100,plain,
p6(c28,c28),
inference(instantiation,[status(thm)],[3]) ).
cnf(l438,plain,
( ~ p6(c28,c28)
| p5(f14(c28),f14(c28)) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(32,plain,
( ~ p5(X0,X1)
| ~ p5(X2,X3)
| p5(f18(X0,X2),f18(X1,X3)) ),
inference(cnf,[status(esa)],[p5_33]) ).
cnf(l124,plain,
( ~ p5(f16(f18(X0_159,f20(c29))),f20(c29))
| ~ p5(f16(f18(X0_132,f19(c24,c27,f14(c28)))),f19(c24,c27,f14(c28)))
| p5(f18(f16(f18(X0_159,f20(c29))),f16(f18(X0_132,f19(c24,c27,f14(c28))))),f18(f20(c29),f19(c24,c27,f14(c28)))) ),
inference(instantiation,[status(thm)],[32]) ).
cnf(l439,plain,
p6(c28,c28),
inference(instantiation,[status(thm)],[3]) ).
cnf(l103,plain,
( ~ p5(f16(f18(X0_132,f19(c24,c27,f14(c28)))),f16(f18(f16(f18(X0_159,f20(c29))),f16(f18(X0_132,f19(c24,c27,f14(c28)))))))
| ~ p5(f16(f18(X0_132,f19(c24,c27,f14(c28)))),f19(c24,c27,f14(c28)))
| p5(f16(f18(f16(f18(X0_159,f20(c29))),f16(f18(X0_132,f19(c24,c27,f14(c28)))))),f19(c24,c27,f14(c28))) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(10,plain,
p5(f16(f18(X0,X1)),X1),
inference(cnf,[status(esa)],[p5_11]) ).
cnf(l159,plain,
p5(f16(f18(X0_159,f20(c29))),f20(c29)),
inference(instantiation,[status(thm)],[10]) ).
cnf(l220,plain,
p5(f16(f18(X0_132,f19(c24,c27,f14(c28)))),f19(c24,c27,f14(c28))),
inference(instantiation,[status(thm)],[10]) ).
cnf(l226,plain,
( ~ p5(f16(f18(f16(f18(X0_159,f20(c29))),f16(f18(X0_132,f19(c24,c27,f14(c28)))))),f16(f18(X0_132,f19(c24,c27,f14(c28)))))
| ~ p5(f16(f18(f16(f18(X0_159,f20(c29))),f16(f18(X0_132,f19(c24,c27,f14(c28)))))),f16(f18(f16(f18(X0_159,f20(c29))),f16(f18(X0_132,f19(c24,c27,f14(c28)))))))
| p5(f16(f18(X0_132,f19(c24,c27,f14(c28)))),f16(f18(f16(f18(X0_159,f20(c29))),f16(f18(X0_132,f19(c24,c27,f14(c28))))))) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l118,plain,
( ~ p5(c27,f18(f20(c29),f19(c24,c27,f14(c28))))
| p5(f16(c27),f16(f18(f20(c29),f19(c24,c27,f14(c28))))) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(33,plain,
( ~ p23(f13(X0,X1),f11(f15(X2)))
| p5(X0,f18(f20(c29),f19(X2,X0,X1))) ),
inference(cnf,[status(esa)],[p5_34]) ).
cnf(l122,plain,
( ~ p23(f13(c27,f14(c28)),f11(f15(c24)))
| p5(c27,f18(f20(c29),f19(c24,c27,f14(c28)))) ),
inference(instantiation,[status(thm)],[33]) ).
cnf(l227,plain,
p5(f16(f18(f16(f18(X0_159,f20(c29))),f16(f18(X0_132,f19(c24,c27,f14(c28)))))),f16(f18(X0_132,f19(c24,c27,f14(c28))))),
inference(instantiation,[status(thm)],[10]) ).
cnf(4,plain,
p5(X0,X0),
inference(cnf,[status(esa)],[p5_5]) ).
cnf(l235,plain,
p5(f16(f18(f16(f18(X0_159,f20(c29))),f16(f18(X0_132,f19(c24,c27,f14(c28)))))),f16(f18(f16(f18(X0_159,f20(c29))),f16(f18(X0_132,f19(c24,c27,f14(c28))))))),
inference(instantiation,[status(thm)],[4]) ).
cnf(l132,plain,
p5(f16(f18(X0_132,f19(c24,c27,f14(c28)))),f19(c24,c27,f14(c28))),
inference(instantiation,[status(thm)],[10]) ).
cnf(l219,plain,
p23(f13(c27,f14(c28)),f11(f15(c24))),
inference(instantiation,[status(thm)],[11]) ).
cnf(l125,plain,
( ~ p5(f17(f18(f16(c27),X1_436)),f16(c27))
| ~ p5(f17(f18(f16(c27),X1_436)),f17(f18(f16(c27),X1_436)))
| p5(f16(c27),f17(f18(f16(c27),X1_436))) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l166,plain,
p5(f17(f18(f16(c27),X1_436)),f16(c27)),
inference(instantiation,[status(thm)],[9]) ).
cnf(l165,plain,
( ~ p5(f17(f18(f17(f18(f16(c27),X1_436)),X1_206)),f17(f18(f16(c27),X1_436)))
| ~ p5(f17(f18(f17(f18(f16(c27),X1_436)),X1_206)),f17(f18(f16(c27),X1_436)))
| p5(f17(f18(f16(c27),X1_436)),f17(f18(f16(c27),X1_436))) ),
inference(instantiation,[status(thm)],[24]) ).
cnf(l204,plain,
p5(f17(f18(f17(f18(f16(c27),X1_436)),X1_206)),f17(f18(f16(c27),X1_436))),
inference(instantiation,[status(thm)],[9]) ).
cnf(l206,plain,
p5(f17(f18(f17(f18(f16(c27),X1_436)),X1_206)),f17(f18(f16(c27),X1_436))),
inference(instantiation,[status(thm)],[9]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l6,l435,l10,l436,l434,l8,l99,l98,l101,l116,l105,l100,l438,l124,l439,l103,l159,l220,l226,l118,l122,l227,l235,l132,l219,l125,l166,l165,l204,l206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN631-1 : TPTP v9.0.0. Released v2.5.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n017.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 : Tue Jul 22 17:40:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.12/0.37 % launching worker at depth: 11
% 0.20/0.54 % launching worker at depth: 12
% 20.41/2.92 % SZS status Theorem for theBenchmark
% 20.41/2.92 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------