%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN648-1 : 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 : n026.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 09:28:12 PM UTC 2025
% Result : Unsatisfiable 0.19s 0.43s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named p8_2)
% Comments :
%------------------------------------------------------------------------------
cnf(1,plain,
p8(X0,X0),
inference(cnf,[status(esa)],[p8_2]) ).
cnf(l0,plain,
p8(f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),c27),c30),f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),c27),c30)),
inference(instantiation,[status(thm)],[1]) ).
cnf(30,plain,
( ~ p8(X0,X1)
| ~ p3(X2,X3)
| ~ p24(X2,X0)
| p24(X3,X1) ),
inference(cnf,[status(esa)],[p24_31]) ).
cnf(l1,plain,
( ~ p8(f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),c27),c30),f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),c27),c30))
| ~ p3(f4(c30,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),f4(c27,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)))
| ~ p24(f4(c30,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),c27),c30))
| p24(f4(c27,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),c27),c30)) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(20,plain,
( ~ p3(X0,X1)
| ~ p3(X0,X2)
| p3(X1,X2) ),
inference(cnf,[status(esa)],[p3_21]) ).
cnf(l14,plain,
( ~ p3(f4(c27,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),f4(c30,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)))
| ~ p3(f4(c27,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),f4(c27,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)))
| p3(f4(c30,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),f4(c27,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30))) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(40,plain,
( ~ p3(X0,X1)
| ~ p2(X2,X3)
| p3(f4(X2,X0),f4(X3,X1)) ),
inference(cnf,[status(esa)],[p3_41]) ).
cnf(l18,plain,
( ~ p3(f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30),f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30))
| ~ p2(c27,c27)
| p3(f4(c27,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),f4(c27,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30))) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(29,plain,
( ~ p24(f4(f6(c32,c30),X0),X1)
| p24(f4(c30,X0),X1) ),
inference(cnf,[status(esa)],[p24_30]) ).
cnf(l3,plain,
( ~ p24(f4(f6(c32,c30),f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),c27),c30))
| p24(f4(c30,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),c27),c30)) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(8,plain,
p2(X0,X0),
inference(cnf,[status(esa)],[p2_9]) ).
cnf(l42,plain,
p2(c27,c27),
inference(instantiation,[status(thm)],[8]) ).
cnf(l26,plain,
( ~ p8(f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),c27),c30),f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),c27),c30))
| ~ p3(f4(c27,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),f4(c30,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)))
| ~ p24(f4(c27,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),c27),c30))
| p24(f4(c30,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),c27),c30)) ),
inference(instantiation,[status(thm)],[30]) ).
cnf(4,plain,
p3(X0,X0),
inference(cnf,[status(esa)],[p3_5]) ).
cnf(l37,plain,
p3(f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30),f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l15,plain,
( ~ p3(f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30),f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30))
| ~ p2(c27,c30)
| p3(f4(c27,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),f4(c30,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30))) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(13,plain,
p2(c27,c30),
inference(cnf,[status(esa)],[p2_14]) ).
cnf(l17,plain,
p2(c27,c30),
inference(instantiation,[status(thm)],[13]) ).
cnf(l31,plain,
( ~ p3(f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30),f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30))
| ~ p2(c27,c30)
| p3(f4(c27,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),f4(c30,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30))) ),
inference(instantiation,[status(thm)],[40]) ).
cnf(l16,plain,
p3(f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30),f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),
inference(instantiation,[status(thm)],[4]) ).
cnf(42,plain,
( ~ p3(X0,X1)
| ~ p3(X1,f4(X2,c28))
| ~ p2(X2,X3)
| ~ p24(f4(X3,f17(f19(f21(f23(c33,X0),X1),X2),X3)),f9(f11(f13(f15(c34,X0),X1),X2),X3))
| ~ p26(c31,X3)
| p24(X0,c29) ),
inference(cnf,[status(esa)],[p24_43]) ).
cnf(l43,plain,
( ~ p3(f4(c27,c28),f4(c27,c28))
| ~ p3(f4(c27,c28),f4(c27,c28))
| ~ p2(c27,c30)
| ~ p24(f4(c30,f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),c27),c30))
| ~ p26(c31,c30)
| p24(f4(c27,c28),c29) ),
inference(instantiation,[status(thm)],[42]) ).
cnf(43,plain,
( ~ p3(X0,X1)
| ~ p3(X1,f4(X2,c28))
| ~ p2(X2,X3)
| ~ p26(c31,X3)
| p24(X0,c29)
| p24(f4(f6(c32,X3),f17(f19(f21(f23(c33,X0),X1),X2),X3)),f9(f11(f13(f15(c34,X0),X1),X2),X3)) ),
inference(cnf,[status(esa)],[p24_44]) ).
cnf(l22,plain,
( ~ p3(f4(c27,c28),f4(c27,c28))
| ~ p3(f4(c27,c28),f4(c27,c28))
| ~ p2(c27,c30)
| ~ p26(c31,c30)
| p24(f4(c27,c28),c29)
| p24(f4(f6(c32,c30),f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),f9(f11(f13(f15(c34,f4(c27,c28)),f4(c27,c28)),c27),c30)) ),
inference(instantiation,[status(thm)],[43]) ).
cnf(l46,plain,
p3(f4(c27,c28),f4(c27,c28)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l34,plain,
p2(c27,c30),
inference(instantiation,[status(thm)],[13]) ).
cnf(l28,plain,
p3(f4(c27,c28),f4(c27,c28)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l35,plain,
p3(f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30),f17(f19(f21(f23(c33,f4(c27,c28)),f4(c27,c28)),c27),c30)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l24,plain,
p3(f4(c27,c28),f4(c27,c28)),
inference(instantiation,[status(thm)],[4]) ).
cnf(15,plain,
~ p24(f4(c27,c28),c29),
inference(cnf,[status(esa)],[not_p24_16]) ).
cnf(l72,plain,
~ p24(f4(c27,c28),c29),
inference(instantiation,[status(thm)],[15]) ).
cnf(14,plain,
p26(c31,c30),
inference(cnf,[status(esa)],[p26_15]) ).
cnf(l71,plain,
p26(c31,c30),
inference(instantiation,[status(thm)],[14]) ).
cnf(l61,plain,
~ p24(f4(c27,c28),c29),
inference(instantiation,[status(thm)],[15]) ).
cnf(l60,plain,
p26(c31,c30),
inference(instantiation,[status(thm)],[14]) ).
cnf(l59,plain,
p3(f4(c27,c28),f4(c27,c28)),
inference(instantiation,[status(thm)],[4]) ).
cnf(l73,plain,
p2(c27,c30),
inference(instantiation,[status(thm)],[13]) ).
cnf(l69,plain,
p2(c27,c30),
inference(instantiation,[status(thm)],[13]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l14,l18,l3,l42,l26,l37,l15,l17,l31,l16,l43,l22,l46,l34,l28,l35,l24,l72,l71,l61,l60,l59,l73,l69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN648-1 : TPTP v9.0.0. Released v2.5.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 22 17:42:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 2
% 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: 7
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.36 % launching worker at depth: 11
% 0.19/0.43 % SZS status Theorem for theBenchmark
% 0.19/0.43 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------