TSTP Solution File: LCL052-1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL052-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% 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 : Thu Aug 31 07:42:13 EDT 2023
% Result : Unsatisfiable 62.40s 9.27s
% Output : CNFRefutation 62.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 5
% Syntax : Number of clauses : 123 ( 58 unt; 0 nHn; 32 RR)
% Number of literals : 204 ( 0 equ; 83 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 382 ( 159 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(c_50,plain,
is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
cnf(c_51,plain,
is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
cnf(c_52,plain,
is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
cnf(c_53,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_24) ).
cnf(c_106,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_110,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_106,c_49]) ).
cnf(c_114,plain,
( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))
| is_a_theorem(implies(implies(X2,X0),X3)) ),
inference(superposition,[status(thm)],[c_50,c_110]) ).
cnf(c_115,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(not(X0),X0),X1)) ),
inference(superposition,[status(thm)],[c_51,c_110]) ).
cnf(c_116,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_52,c_110]) ).
cnf(c_194,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_197,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_115,c_49]) ).
cnf(c_200,plain,
is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_50,c_116]) ).
cnf(c_202,plain,
is_a_theorem(implies(X0,implies(not(implies(not(X0),X1)),X2))),
inference(superposition,[status(thm)],[c_52,c_116]) ).
cnf(c_223,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(implies(not(X0),X1)),X2)) ),
inference(superposition,[status(thm)],[c_202,c_49]) ).
cnf(c_238,plain,
is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))),
inference(superposition,[status(thm)],[c_50,c_114]) ).
cnf(c_298,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2)) ),
inference(superposition,[status(thm)],[c_194,c_49]) ).
cnf(c_299,plain,
( ~ is_a_theorem(implies(X0,not(X1)))
| is_a_theorem(implies(X1,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_194,c_116]) ).
cnf(c_320,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| ~ is_a_theorem(X0)
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_223,c_197]) ).
cnf(c_388,plain,
( ~ is_a_theorem(implies(X0,not(implies(not(X1),X2))))
| is_a_theorem(implies(X1,implies(X0,X3))) ),
inference(superposition,[status(thm)],[c_299,c_116]) ).
cnf(c_462,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2))) ),
inference(superposition,[status(thm)],[c_200,c_49]) ).
cnf(c_508,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(not(X0),X2))) ),
inference(superposition,[status(thm)],[c_462,c_116]) ).
cnf(c_566,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X3,X2)) ),
inference(superposition,[status(thm)],[c_508,c_298]) ).
cnf(c_877,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_238,c_49]) ).
cnf(c_879,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(implies(X3,X1),X2))) ),
inference(superposition,[status(thm)],[c_238,c_320]) ).
cnf(c_6555,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_6655,plain,
( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),X3))
| ~ is_a_theorem(X4)
| is_a_theorem(implies(implies(implies(not(X4),X1),X2),X3)) ),
inference(superposition,[status(thm)],[c_879,c_298]) ).
cnf(c_6661,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(not(implies(implies(X3,X1),X2)),X4))) ),
inference(superposition,[status(thm)],[c_52,c_6655]) ).
cnf(c_6919,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(not(implies(implies(X3,X1),X2)),X4)) ),
inference(superposition,[status(thm)],[c_6661,c_49]) ).
cnf(c_7041,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(not(implies(implies(X1,X0),X0)),X2)) ),
inference(superposition,[status(thm)],[c_51,c_6919]) ).
cnf(c_7070,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X1,X0),X0)) ),
inference(superposition,[status(thm)],[c_7041,c_6555]) ).
cnf(c_7098,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_7070,c_116]) ).
cnf(c_7107,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_7098,c_298]) ).
cnf(c_7134,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X3,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_194,c_7107]) ).
cnf(c_7476,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X3,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_52,c_7134]) ).
cnf(c_7759,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_51,c_7476]) ).
cnf(c_7838,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_7759,c_7476]) ).
cnf(c_7999,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_7838,c_197]) ).
cnf(c_8919,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_50,c_7999]) ).
cnf(c_9129,plain,
is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_8919,c_114]) ).
cnf(c_9179,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(not(X1),X3))))),
inference(superposition,[status(thm)],[c_9129,c_7476]) ).
cnf(c_10158,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(not(X2),X4)))))),
inference(superposition,[status(thm)],[c_9179,c_7476]) ).
cnf(c_33592,plain,
is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_51,c_116]) ).
cnf(c_33593,plain,
is_a_theorem(implies(X0,implies(not(implies(not(X0),X1)),X2))),
inference(superposition,[status(thm)],[c_52,c_116]) ).
cnf(c_33661,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,implies(X2,implies(not(X1),X3)))),X4))
| is_a_theorem(X4) ),
inference(superposition,[status(thm)],[c_10158,c_197]) ).
cnf(c_33667,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_51,c_33661]) ).
cnf(c_33704,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))
| is_a_theorem(implies(X1,X3)) ),
inference(superposition,[status(thm)],[c_33667,c_298]) ).
cnf(c_33867,plain,
is_a_theorem(implies(X0,implies(not(implies(not(implies(X1,implies(not(X0),X2))),X3)),X4))),
inference(superposition,[status(thm)],[c_33593,c_33704]) ).
cnf(c_34025,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_115,c_566]) ).
cnf(c_34174,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X3,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_194,c_34025]) ).
cnf(c_34874,plain,
( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
| is_a_theorem(implies(X3,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_52,c_34174]) ).
cnf(c_34968,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_51,c_34874]) ).
cnf(c_34972,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(X1),X2)))),
inference(superposition,[status(thm)],[c_33592,c_34874]) ).
cnf(c_35039,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_34968,c_34874]) ).
cnf(c_35057,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_35039,c_197]) ).
cnf(c_35078,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_34972,c_197]) ).
cnf(c_35676,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_50,c_35057]) ).
cnf(c_35711,plain,
is_a_theorem(implies(not(implies(not(implies(X0,implies(not(implies(X1,implies(X2,X2))),X3))),X4)),X5)),
inference(superposition,[status(thm)],[c_33867,c_35057]) ).
cnf(c_35752,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(implies(implies(X3,X3),X1),X2)) ),
inference(superposition,[status(thm)],[c_35676,c_298]) ).
cnf(c_35923,plain,
is_a_theorem(implies(not(implies(not(implies(X0,implies(not(implies(X1,implies(not(X1),X2))),X3))),X4)),X5)),
inference(superposition,[status(thm)],[c_33867,c_35078]) ).
cnf(c_44161,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(implies(X1,X2),implies(X3,X2)))),
inference(superposition,[status(thm)],[c_50,c_35752]) ).
cnf(c_44640,plain,
is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X1),X2),implies(X3,X2)))),
inference(superposition,[status(thm)],[c_44161,c_114]) ).
cnf(c_46847,plain,
is_a_theorem(implies(X0,implies(X1,implies(implies(implies(not(X1),X2),X3),implies(X4,X3))))),
inference(superposition,[status(thm)],[c_44640,c_34874]) ).
cnf(c_79961,plain,
( ~ is_a_theorem(implies(not(X0),X0))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_79978,plain,
is_a_theorem(implies(not(implies(X0,implies(not(implies(X1,implies(X2,X2))),X3))),X4)),
inference(superposition,[status(thm)],[c_35711,c_79961]) ).
cnf(c_79980,plain,
is_a_theorem(implies(not(implies(X0,implies(not(implies(X1,implies(not(X1),X2))),X3))),X4)),
inference(superposition,[status(thm)],[c_35923,c_79961]) ).
cnf(c_79992,plain,
is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_51,c_116]) ).
cnf(c_80013,plain,
( ~ is_a_theorem(implies(X0,not(X1)))
| is_a_theorem(implies(X1,implies(X0,X2))) ),
inference(superposition,[status(thm)],[c_194,c_116]) ).
cnf(c_80020,plain,
( ~ is_a_theorem(implies(implies(X0,implies(implies(implies(not(X0),X1),X2),implies(X3,X2))),X4))
| is_a_theorem(X4) ),
inference(superposition,[status(thm)],[c_46847,c_197]) ).
cnf(c_80115,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(not(X1),X3))))),
inference(superposition,[status(thm)],[c_10158,c_80020]) ).
cnf(c_80122,plain,
is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_80115,c_80020]) ).
cnf(c_80123,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3))
| is_a_theorem(implies(X1,X3)) ),
inference(superposition,[status(thm)],[c_80122,c_298]) ).
cnf(c_80238,plain,
is_a_theorem(implies(X0,implies(not(implies(X1,implies(X2,X2))),X3))),
inference(superposition,[status(thm)],[c_79978,c_79961]) ).
cnf(c_80248,plain,
is_a_theorem(implies(not(implies(X0,implies(X1,X1))),X2)),
inference(superposition,[status(thm)],[c_80238,c_80020]) ).
cnf(c_80251,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_80248,c_197]) ).
cnf(c_80252,plain,
is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_80248,c_79961]) ).
cnf(c_80294,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_80252,c_298]) ).
cnf(c_80355,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_50,c_80251]) ).
cnf(c_80386,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(implies(implies(X3,X3),X1),X2)) ),
inference(superposition,[status(thm)],[c_80355,c_298]) ).
cnf(c_80414,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_80355,c_80294]) ).
cnf(c_80462,plain,
is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_80355,c_114]) ).
cnf(c_80494,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2))
| is_a_theorem(implies(X3,X2)) ),
inference(superposition,[status(thm)],[c_80414,c_298]) ).
cnf(c_80768,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X3))))),
inference(superposition,[status(thm)],[c_80462,c_80494]) ).
cnf(c_80870,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X2))),X3))
| is_a_theorem(X3) ),
inference(superposition,[status(thm)],[c_80768,c_197]) ).
cnf(c_80909,plain,
is_a_theorem(implies(implies(implies(X0,implies(X1,X1)),X2),implies(X3,X2))),
inference(superposition,[status(thm)],[c_50,c_80870]) ).
cnf(c_82507,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_51,c_566]) ).
cnf(c_82510,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(implies(X2,X1)) ),
inference(superposition,[status(thm)],[c_115,c_566]) ).
cnf(c_82771,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(X2,implies(X3,X1))) ),
inference(superposition,[status(thm)],[c_80355,c_82510]) ).
cnf(c_83090,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(X1,implies(X2,X0))) ),
inference(superposition,[status(thm)],[c_82507,c_82771]) ).
cnf(c_83153,plain,
is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X4)))))),
inference(superposition,[status(thm)],[c_80909,c_82771]) ).
cnf(c_83176,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_83090,c_197]) ).
cnf(c_83238,plain,
( ~ is_a_theorem(implies(implies(X0,implies(X1,implies(X2,implies(X3,X3)))),X4))
| is_a_theorem(X4) ),
inference(superposition,[status(thm)],[c_83153,c_197]) ).
cnf(c_83265,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(superposition,[status(thm)],[c_50,c_83176]) ).
cnf(c_83382,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(X2,X0),implies(X3,implies(X2,X1)))) ),
inference(superposition,[status(thm)],[c_83265,c_114]) ).
cnf(c_84751,plain,
is_a_theorem(implies(X0,implies(not(implies(X1,implies(not(X1),X2))),X3))),
inference(superposition,[status(thm)],[c_79980,c_79961]) ).
cnf(c_84792,plain,
is_a_theorem(implies(not(implies(X0,implies(not(X0),X1))),X2)),
inference(superposition,[status(thm)],[c_84751,c_80020]) ).
cnf(c_84802,plain,
( ~ is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_84792,c_197]) ).
cnf(c_84887,plain,
is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(superposition,[status(thm)],[c_50,c_84802]) ).
cnf(c_88200,plain,
is_a_theorem(implies(implies(implies(X0,X0),X1),implies(implies(X1,X2),implies(X3,X2)))),
inference(superposition,[status(thm)],[c_50,c_80386]) ).
cnf(c_88205,plain,
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(implies(implies(implies(X2,X2),X0),X1)) ),
inference(superposition,[status(thm)],[c_115,c_80386]) ).
cnf(c_88432,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| is_a_theorem(implies(implies(X1,X2),implies(X3,X2))) ),
inference(superposition,[status(thm)],[c_88200,c_49]) ).
cnf(c_88857,plain,
( ~ is_a_theorem(implies(implies(X0,X0),X1))
| ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_88205,c_49]) ).
cnf(c_94028,plain,
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(X3,implies(X2,X1))) ),
inference(superposition,[status(thm)],[c_83382,c_49]) ).
cnf(c_94081,plain,
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X2,implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_51,c_94028]) ).
cnf(c_94398,plain,
is_a_theorem(implies(X0,implies(implies(implies(not(not(X1)),X2),X1),X1))),
inference(superposition,[status(thm)],[c_84887,c_94081]) ).
cnf(c_94402,plain,
is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(superposition,[status(thm)],[c_79992,c_94081]) ).
cnf(c_94947,plain,
( ~ is_a_theorem(implies(implies(implies(not(X0),X0),X0),X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_94402,c_88857]) ).
cnf(c_94948,plain,
is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_94402,c_88432]) ).
cnf(c_95939,plain,
is_a_theorem(implies(implies(implies(not(not(X0)),X1),X0),X0)),
inference(superposition,[status(thm)],[c_94398,c_83238]) ).
cnf(c_95956,plain,
is_a_theorem(implies(implies(X0,not(not(implies(X0,X1)))),implies(X0,X1))),
inference(superposition,[status(thm)],[c_95939,c_114]) ).
cnf(c_96802,plain,
( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_194,c_94947]) ).
cnf(c_96820,plain,
( ~ is_a_theorem(implies(not(X0),X1))
| is_a_theorem(implies(implies(X1,X0),X0)) ),
inference(superposition,[status(thm)],[c_877,c_94947]) ).
cnf(c_99136,plain,
( ~ is_a_theorem(implies(not(X0),not(X1)))
| is_a_theorem(implies(X1,X0)) ),
inference(superposition,[status(thm)],[c_80013,c_96802]) ).
cnf(c_99357,plain,
is_a_theorem(implies(implies(not(X0),not(not(implies(not(X0),X0)))),X0)),
inference(superposition,[status(thm)],[c_95956,c_96802]) ).
cnf(c_100498,plain,
~ is_a_theorem(implies(not(a),implies(a,b))),
inference(superposition,[status(thm)],[c_96820,c_53]) ).
cnf(c_103561,plain,
is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(superposition,[status(thm)],[c_94948,c_96802]) ).
cnf(c_103603,plain,
is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(superposition,[status(thm)],[c_103561,c_114]) ).
cnf(c_103694,plain,
is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_103603,c_80123]) ).
cnf(c_103717,plain,
( ~ is_a_theorem(implies(implies(X0,X1),X2))
| is_a_theorem(implies(X1,X2)) ),
inference(superposition,[status(thm)],[c_103694,c_298]) ).
cnf(c_104214,plain,
is_a_theorem(implies(not(not(implies(not(X0),X0))),X0)),
inference(superposition,[status(thm)],[c_99357,c_103717]) ).
cnf(c_104953,plain,
is_a_theorem(implies(X0,not(implies(not(not(X0)),not(X0))))),
inference(superposition,[status(thm)],[c_104214,c_99136]) ).
cnf(c_106628,plain,
is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(superposition,[status(thm)],[c_104953,c_388]) ).
cnf(c_106662,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_100498,c_106628]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL052-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 05:37:40 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 62.40/9.27 % SZS status Started for theBenchmark.p
% 62.40/9.27 % SZS status Unsatisfiable for theBenchmark.p
% 62.40/9.27
% 62.40/9.27 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 62.40/9.27
% 62.40/9.27 ------ iProver source info
% 62.40/9.27
% 62.40/9.27 git: date: 2023-05-31 18:12:56 +0000
% 62.40/9.27 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 62.40/9.27 git: non_committed_changes: false
% 62.40/9.27 git: last_make_outside_of_git: false
% 62.40/9.27
% 62.40/9.27 ------ Parsing...successful
% 62.40/9.27
% 62.40/9.27
% 62.40/9.27
% 62.40/9.27 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 62.40/9.27
% 62.40/9.27 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 62.40/9.27 ------ Proving...
% 62.40/9.27 ------ Problem Properties
% 62.40/9.27
% 62.40/9.27
% 62.40/9.27 clauses 5
% 62.40/9.27 conjectures 1
% 62.40/9.27 EPR 0
% 62.40/9.27 Horn 5
% 62.40/9.27 unary 4
% 62.40/9.27 binary 0
% 62.40/9.27 lits 7
% 62.40/9.27 lits eq 0
% 62.40/9.27 fd_pure 0
% 62.40/9.27 fd_pseudo 0
% 62.40/9.27 fd_cond 0
% 62.40/9.27 fd_pseudo_cond 0
% 62.40/9.27 AC symbols 0
% 62.40/9.27
% 62.40/9.27 ------ Input Options Time Limit: Unbounded
% 62.40/9.27
% 62.40/9.27
% 62.40/9.27 ------
% 62.40/9.27 Current options:
% 62.40/9.27 ------
% 62.40/9.27
% 62.40/9.27
% 62.40/9.27
% 62.40/9.27
% 62.40/9.27 ------ Proving...
% 62.40/9.27
% 62.40/9.27
% 62.40/9.27 % SZS status Unsatisfiable for theBenchmark.p
% 62.40/9.27
% 62.40/9.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 62.40/9.27
% 62.40/9.28
%------------------------------------------------------------------------------