TSTP Solution File: LCL166-1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL166-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n006.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 07:42:48 EDT 2023
% Result : Unsatisfiable 69.29s 10.27s
% Output : CNFRefutation 69.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 3
% Syntax : Number of clauses : 114 ( 14 unt; 0 nHn; 72 RR)
% Number of literals : 289 ( 0 equ; 176 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 332 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(c_50,plain,
is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X0),X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xhn) ).
cnf(c_51,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_um) ).
cnf(c_362,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X0),X1))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_391,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(equivalent(X1,X2),X0)) ),
inference(superposition,[status(thm)],[c_362,c_49]) ).
cnf(c_397,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(X2)
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_391,c_49]) ).
cnf(c_609,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X0),X1))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_610,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(equivalent(X1,X2),X0)) ),
inference(superposition,[status(thm)],[c_609,c_49]) ).
cnf(c_615,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)),X3))
| ~ is_a_theorem(X3)
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_50,c_397]) ).
cnf(c_616,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X3))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X3)
| is_a_theorem(equivalent(X2,X0)) ),
inference(superposition,[status(thm)],[c_609,c_397]) ).
cnf(c_653,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X4),X2))),X0)))
| is_a_theorem(X4) ),
inference(superposition,[status(thm)],[c_50,c_615]) ).
cnf(c_655,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(equivalent(X3,equivalent(X2,X0)))
| ~ is_a_theorem(X3)
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_610,c_615]) ).
cnf(c_785,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X0),X1))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_814,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(equivalent(X2,X3),X4)),X0)))
| ~ is_a_theorem(X3)
| is_a_theorem(equivalent(X4,X2)) ),
inference(superposition,[status(thm)],[c_50,c_616]) ).
cnf(c_815,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X3)))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X3)
| is_a_theorem(equivalent(X0,X2)) ),
inference(superposition,[status(thm)],[c_785,c_616]) ).
cnf(c_819,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(X3,X4)),X1)),X3)))
| ~ is_a_theorem(X0)
| is_a_theorem(X4) ),
inference(superposition,[status(thm)],[c_50,c_655]) ).
cnf(c_820,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),X3),X3)))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X2)
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_785,c_655]) ).
cnf(c_983,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X0),X1))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_995,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_983,c_653]) ).
cnf(c_997,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(X2,X0)) ),
inference(superposition,[status(thm)],[c_983,c_814]) ).
cnf(c_1007,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X3))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(X1,equivalent(X3,X0))) ),
inference(superposition,[status(thm)],[c_50,c_815]) ).
cnf(c_1008,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(X2,equivalent(X1,X0))) ),
inference(superposition,[status(thm)],[c_983,c_815]) ).
cnf(c_1011,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X2)
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_983,c_820]) ).
cnf(c_1020,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(X3,X0)),X1)),X3)) ),
inference(superposition,[status(thm)],[c_50,c_997]) ).
cnf(c_1043,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(X1,X0)) ),
inference(superposition,[status(thm)],[c_1008,c_49]) ).
cnf(c_1046,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(X0)
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_1008,c_995]) ).
cnf(c_1281,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(X1,X0)) ),
inference(superposition,[status(thm)],[c_50,c_1043]) ).
cnf(c_1301,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X2)
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1281,c_1011]) ).
cnf(c_1315,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)),X3))
| ~ is_a_theorem(X2)
| is_a_theorem(X3) ),
inference(superposition,[status(thm)],[c_50,c_1046]) ).
cnf(c_1358,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X2,equivalent(X3,X0)),equivalent(X3,equivalent(X1,X2)))) ),
inference(superposition,[status(thm)],[c_1020,c_1007]) ).
cnf(c_2045,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X1)
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1020,c_1315]) ).
cnf(c_6703,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X0),X1))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_6704,plain,
( ~ is_a_theorem(X1)
| ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X1,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_1043,c_1281]) ).
cnf(c_6705,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(X1,X0)) ),
inference(renaming,[status(thm)],[c_6704]) ).
cnf(c_6713,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(equivalent(X1,X2),X0)) ),
inference(superposition,[status(thm)],[c_6703,c_49]) ).
cnf(c_6762,plain,
( ~ is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1301,c_2045]) ).
cnf(c_6763,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X1)
| is_a_theorem(X0) ),
inference(renaming,[status(thm)],[c_6762]) ).
cnf(c_6764,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_50,c_6763]) ).
cnf(c_6765,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(X2,X0)) ),
inference(superposition,[status(thm)],[c_6703,c_6763]) ).
cnf(c_6776,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(equivalent(X2,X0))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_6705,c_6764]) ).
cnf(c_6922,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,X3)),X0)),X2))
| is_a_theorem(X3) ),
inference(superposition,[status(thm)],[c_50,c_6776]) ).
cnf(c_6925,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(X3)
| is_a_theorem(equivalent(equivalent(X2,equivalent(X0,X3)),X1)) ),
inference(superposition,[status(thm)],[c_1020,c_6776]) ).
cnf(c_7009,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X3))
| ~ is_a_theorem(equivalent(X1,equivalent(X3,X0)))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_6713,c_6922]) ).
cnf(c_7085,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(equivalent(X2,equivalent(X0,X3)))
| ~ is_a_theorem(X3)
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_6925,c_49]) ).
cnf(c_7113,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(equivalent(X1,equivalent(X3,X0)))
| ~ is_a_theorem(X3)
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_6705,c_7009]) ).
cnf(c_8015,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,X3)))
| ~ is_a_theorem(X3)
| is_a_theorem(equivalent(X2,X0)) ),
inference(superposition,[status(thm)],[c_50,c_7085]) ).
cnf(c_8040,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(X1,X0)) ),
inference(superposition,[status(thm)],[c_6703,c_8015]) ).
cnf(c_8158,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(equivalent(X2,X0),X1)) ),
inference(superposition,[status(thm)],[c_50,c_8040]) ).
cnf(c_8159,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X2,X0),equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_6703,c_8040]) ).
cnf(c_8183,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,X3)),X0)),X2),X3)),
inference(superposition,[status(thm)],[c_50,c_8158]) ).
cnf(c_8375,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_8159,c_6765]) ).
cnf(c_8736,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_8183,c_8375]) ).
cnf(c_8770,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X0),X1)) ),
inference(superposition,[status(thm)],[c_8736,c_8158]) ).
cnf(c_8823,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X1),X0)) ),
inference(superposition,[status(thm)],[c_8770,c_8158]) ).
cnf(c_8828,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X1,X1)) ),
inference(superposition,[status(thm)],[c_8770,c_6765]) ).
cnf(c_8875,plain,
is_a_theorem(equivalent(X0,X0)),
inference(superposition,[status(thm)],[c_8183,c_8828]) ).
cnf(c_8912,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X0),X1)),
inference(superposition,[status(thm)],[c_8875,c_8158]) ).
cnf(c_8972,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X0)))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_8912,c_6776]) ).
cnf(c_9603,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X1)))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_8823,c_8972]) ).
cnf(c_9721,plain,
( ~ is_a_theorem(equivalent(X0,X0))
| is_a_theorem(equivalent(X1,X1)) ),
inference(superposition,[status(thm)],[c_8823,c_9603]) ).
cnf(c_10065,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X3)))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(equivalent(X1,X3),X0)) ),
inference(superposition,[status(thm)],[c_50,c_7113]) ).
cnf(c_10498,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(equivalent(X2,equivalent(equivalent(X1,equivalent(X3,X2)),X0)),X3)) ),
inference(superposition,[status(thm)],[c_50,c_10065]) ).
cnf(c_10565,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X0)),X3)))
| ~ is_a_theorem(equivalent(X3,X1))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_10498,c_49]) ).
cnf(c_10624,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X1),X2),X2))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_50,c_10565]) ).
cnf(c_11298,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X1))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_8736,c_10624]) ).
cnf(c_11728,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X0),X1))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_11741,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(equivalent(X1,X2),X0)) ),
inference(superposition,[status(thm)],[c_11728,c_49]) ).
cnf(c_11763,plain,
( ~ is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1301,c_2045]) ).
cnf(c_11764,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X1)
| is_a_theorem(X0) ),
inference(renaming,[status(thm)],[c_11763]) ).
cnf(c_11766,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(X2,X0)) ),
inference(superposition,[status(thm)],[c_11728,c_11764]) ).
cnf(c_13060,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(X2,equivalent(equivalent(X2,equivalent(X1,X3)),X3))) ),
inference(superposition,[status(thm)],[c_1358,c_1007]) ).
cnf(c_13062,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X1,equivalent(equivalent(X1,equivalent(X0,X2)),X2))) ),
inference(superposition,[status(thm)],[c_50,c_13060]) ).
cnf(c_13103,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_13062,c_11764]) ).
cnf(c_13130,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(equivalent(X1,X0))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_13062,c_819]) ).
cnf(c_13436,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(X1,X0)) ),
inference(superposition,[status(thm)],[c_1020,c_13103]) ).
cnf(c_13451,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X0)))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_11728,c_13130]) ).
cnf(c_13607,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(equivalent(X2,X0),X1)) ),
inference(superposition,[status(thm)],[c_50,c_13436]) ).
cnf(c_13638,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,X3)),X0)),X2),X3)),
inference(superposition,[status(thm)],[c_50,c_13607]) ).
cnf(c_13676,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X1))
| ~ is_a_theorem(X2)
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_11741,c_13451]) ).
cnf(c_13917,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X1))
| is_a_theorem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_13676,c_11298]) ).
cnf(c_13938,plain,
is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,X2)),X0))),
inference(superposition,[status(thm)],[c_13638,c_13917]) ).
cnf(c_15507,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X2)),equivalent(X0,X1))) ),
inference(superposition,[status(thm)],[c_13938,c_13436]) ).
cnf(c_22196,plain,
( ~ is_a_theorem(equivalent(X0,X0))
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_15507,c_11766]) ).
cnf(c_27812,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X0),X1))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_27813,plain,
( ~ is_a_theorem(X1)
| ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X1,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_1043,c_1281]) ).
cnf(c_27814,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(X1,X0)) ),
inference(renaming,[status(thm)],[c_27813]) ).
cnf(c_27834,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_27812,c_653]) ).
cnf(c_27837,plain,
( ~ is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1301,c_2045]) ).
cnf(c_27838,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X1)
| is_a_theorem(X0) ),
inference(renaming,[status(thm)],[c_27837]) ).
cnf(c_27840,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(X2,X0)) ),
inference(superposition,[status(thm)],[c_27812,c_27838]) ).
cnf(c_27847,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(equivalent(X2,X0))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_27814,c_27834]) ).
cnf(c_27876,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(X3)
| is_a_theorem(equivalent(equivalent(X2,equivalent(X0,X3)),X1)) ),
inference(superposition,[status(thm)],[c_1020,c_27847]) ).
cnf(c_27901,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(equivalent(X2,equivalent(X0,X3)))
| ~ is_a_theorem(X3)
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_27876,c_49]) ).
cnf(c_28568,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,X3)))
| ~ is_a_theorem(X3)
| is_a_theorem(equivalent(X2,X0)) ),
inference(superposition,[status(thm)],[c_50,c_27901]) ).
cnf(c_28586,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X0)),X3)),X2))
| is_a_theorem(equivalent(X3,X1)) ),
inference(superposition,[status(thm)],[c_50,c_28568]) ).
cnf(c_28587,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(X1,X0)) ),
inference(superposition,[status(thm)],[c_27812,c_28568]) ).
cnf(c_28691,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(equivalent(X2,X0),X1)) ),
inference(superposition,[status(thm)],[c_50,c_28587]) ).
cnf(c_28692,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X2,X0),equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_27812,c_28587]) ).
cnf(c_28806,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_28692,c_27840]) ).
cnf(c_28830,plain,
( ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X1,X2),X2)) ),
inference(global_subsumption_just,[status(thm)],[c_28806,c_8875,c_22196]) ).
cnf(c_28831,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X0,X1),X1)) ),
inference(renaming,[status(thm)],[c_28830]) ).
cnf(c_28840,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X0),X1)) ),
inference(superposition,[status(thm)],[c_28831,c_28691]) ).
cnf(c_28875,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X1,X1)) ),
inference(superposition,[status(thm)],[c_28840,c_27840]) ).
cnf(c_28892,plain,
is_a_theorem(equivalent(X1,X1)),
inference(global_subsumption_just,[status(thm)],[c_28875,c_8875,c_9721]) ).
cnf(c_28893,plain,
is_a_theorem(equivalent(X0,X0)),
inference(renaming,[status(thm)],[c_28892]) ).
cnf(c_28902,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X0),X1)),
inference(superposition,[status(thm)],[c_28893,c_28691]) ).
cnf(c_29111,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X1,equivalent(X0,X1))) ),
inference(superposition,[status(thm)],[c_28902,c_27840]) ).
cnf(c_29324,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X1),X2)) ),
inference(superposition,[status(thm)],[c_29111,c_28691]) ).
cnf(c_33602,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,equivalent(X0,equivalent(X2,X1))),X2)) ),
inference(superposition,[status(thm)],[c_29324,c_28691]) ).
cnf(c_42330,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(equivalent(X1,X2),X0)) ),
inference(superposition,[status(thm)],[c_33602,c_28586]) ).
cnf(c_47073,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)),X2)),
inference(superposition,[status(thm)],[c_50,c_42330]) ).
cnf(c_47281,plain,
is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X2,X0),X1))),
inference(superposition,[status(thm)],[c_47073,c_28691]) ).
cnf(c_48524,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,equivalent(X2,X0)))),
inference(superposition,[status(thm)],[c_47281,c_42330]) ).
cnf(c_49833,plain,
$false,
inference(superposition,[status(thm)],[c_48524,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL166-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.19/0.35 % Computer : n006.cluster.edu
% 0.19/0.35 % Model : x86_64 x86_64
% 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.35 % Memory : 8042.1875MB
% 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.35 % CPULimit : 300
% 0.19/0.35 % WCLimit : 300
% 0.19/0.35 % DateTime : Thu Aug 24 17:13:38 EDT 2023
% 0.19/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 69.29/10.27 % SZS status Started for theBenchmark.p
% 69.29/10.27 % SZS status Unsatisfiable for theBenchmark.p
% 69.29/10.27
% 69.29/10.27 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 69.29/10.27
% 69.29/10.27 ------ iProver source info
% 69.29/10.27
% 69.29/10.27 git: date: 2023-05-31 18:12:56 +0000
% 69.29/10.27 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 69.29/10.27 git: non_committed_changes: false
% 69.29/10.27 git: last_make_outside_of_git: false
% 69.29/10.27
% 69.29/10.27 ------ Parsing...successful
% 69.29/10.27
% 69.29/10.27
% 69.29/10.27
% 69.29/10.27 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 69.29/10.27
% 69.29/10.27 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 69.29/10.27 ------ Proving...
% 69.29/10.27 ------ Problem Properties
% 69.29/10.27
% 69.29/10.27
% 69.29/10.27 clauses 3
% 69.29/10.27 conjectures 1
% 69.29/10.27 EPR 0
% 69.29/10.27 Horn 3
% 69.29/10.27 unary 2
% 69.29/10.27 binary 0
% 69.29/10.27 lits 5
% 69.29/10.27 lits eq 0
% 69.29/10.27 fd_pure 0
% 69.29/10.27 fd_pseudo 0
% 69.29/10.27 fd_cond 0
% 69.29/10.27 fd_pseudo_cond 0
% 69.29/10.27 AC symbols 0
% 69.29/10.27
% 69.29/10.27 ------ Input Options Time Limit: Unbounded
% 69.29/10.27
% 69.29/10.27
% 69.29/10.27 ------
% 69.29/10.27 Current options:
% 69.29/10.27 ------
% 69.29/10.27
% 69.29/10.27
% 69.29/10.27
% 69.29/10.27
% 69.29/10.27 ------ Proving...
% 69.29/10.27
% 69.29/10.27
% 69.29/10.27 % SZS status Unsatisfiable for theBenchmark.p
% 69.29/10.27
% 69.29/10.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 69.40/10.28
% 69.40/10.28
%------------------------------------------------------------------------------