TSTP Solution File: LCL167-1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LCL167-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 07:42:49 EDT 2023
% Result : Unsatisfiable 76.29s 11.20s
% Output : CNFRefutation 76.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 71
% Number of leaves : 3
% Syntax : Number of clauses : 200 ( 32 unt; 0 nHn; 111 RR)
% Number of literals : 472 ( 0 equ; 273 neg)
% Maximal clause size : 5 ( 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 : 556 ( 20 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(X0,X2),X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xhk) ).
cnf(c_51,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(c,equivalent(equivalent(c,b),a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_yro) ).
cnf(c_427,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X2),X1))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_428,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(equivalent(X2,X1),X0)) ),
inference(superposition,[status(thm)],[c_427,c_49]) ).
cnf(c_433,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(X2)
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_428,c_49]) ).
cnf(c_666,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X2),X1))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_671,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X2),X1))))
| ~ is_a_theorem(X0)
| is_a_theorem(X3) ),
inference(superposition,[status(thm)],[c_50,c_433]) ).
cnf(c_672,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),X3)))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(X3,X2)) ),
inference(superposition,[status(thm)],[c_666,c_433]) ).
cnf(c_676,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X1))
| ~ is_a_theorem(X2)
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_666,c_671]) ).
cnf(c_832,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X2),X1))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_833,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(equivalent(X2,X1),X0)) ),
inference(superposition,[status(thm)],[c_832,c_49]) ).
cnf(c_837,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X2,X0))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_833,c_676]) ).
cnf(c_847,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),X0)))
| ~ is_a_theorem(equivalent(X3,X2))
| is_a_theorem(X3) ),
inference(superposition,[status(thm)],[c_50,c_837]) ).
cnf(c_848,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(equivalent(X3,equivalent(X2,X1)))
| ~ is_a_theorem(X0)
| is_a_theorem(X3) ),
inference(superposition,[status(thm)],[c_832,c_837]) ).
cnf(c_849,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(equivalent(X3,X2))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X3)
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_833,c_837]) ).
cnf(c_851,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X1)
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_832,c_847]) ).
cnf(c_856,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(equivalent(X0,X2),X1),X2)) ),
inference(superposition,[status(thm)],[c_50,c_672]) ).
cnf(c_1042,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X2),X1))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_1044,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X2,X1)) ),
inference(superposition,[status(thm)],[c_1042,c_851]) ).
cnf(c_1045,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(equivalent(X2,X1),X0)) ),
inference(superposition,[status(thm)],[c_1042,c_49]) ).
cnf(c_1048,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(equivalent(X0,X2),X1)) ),
inference(superposition,[status(thm)],[c_856,c_851]) ).
cnf(c_1068,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(X3,X4),X2),X1)),X4)))
| ~ is_a_theorem(X3)
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_50,c_848]) ).
cnf(c_1070,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(X3)
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1045,c_848]) ).
cnf(c_1076,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),X3)))
| ~ is_a_theorem(equivalent(X3,X2))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_50,c_849]) ).
cnf(c_1128,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X2,X0))
| ~ is_a_theorem(X1)
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_1045,c_676]) ).
cnf(c_1130,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(X0,X3),X2),X1)),X3)) ),
inference(superposition,[status(thm)],[c_50,c_1044]) ).
cnf(c_1778,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),X0)))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_50,c_851]) ).
cnf(c_1779,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X2),X1))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_1782,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X2,X1)) ),
inference(superposition,[status(thm)],[c_1779,c_851]) ).
cnf(c_1809,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(X0,X2)) ),
inference(superposition,[status(thm)],[c_1048,c_851]) ).
cnf(c_1818,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_50,c_1809]) ).
cnf(c_1835,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(equivalent(X2,X1))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1818,c_1778]) ).
cnf(c_1855,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),X2))
| ~ is_a_theorem(X0)
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_1130,c_676]) ).
cnf(c_1926,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(equivalent(X0,X3),X3),X2),X1))) ),
inference(superposition,[status(thm)],[c_50,c_1855]) ).
cnf(c_1927,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_1779,c_1855]) ).
cnf(c_1954,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_1927,c_1782]) ).
cnf(c_1962,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_50,c_1954]) ).
cnf(c_1981,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X1,X1)) ),
inference(superposition,[status(thm)],[c_1962,c_1782]) ).
cnf(c_1987,plain,
is_a_theorem(equivalent(X0,X0)),
inference(superposition,[status(thm)],[c_50,c_1981]) ).
cnf(c_2012,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X1))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1987,c_1835]) ).
cnf(c_2030,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2,X3),X3),X1),X0)) ),
inference(superposition,[status(thm)],[c_1926,c_49]) ).
cnf(c_2078,plain,
( ~ is_a_theorem(equivalent(X0,X0))
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_2030,c_2012]) ).
cnf(c_3900,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),X0)))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_50,c_851]) ).
cnf(c_3901,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X2),X1))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_3920,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(X3,equivalent(equivalent(equivalent(X2,X3),X1),X0))) ),
inference(superposition,[status(thm)],[c_3901,c_1068]) ).
cnf(c_3934,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(X0,X2)) ),
inference(superposition,[status(thm)],[c_1048,c_851]) ).
cnf(c_3944,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_50,c_3934]) ).
cnf(c_3958,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(equivalent(X2,X1))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_3944,c_3900]) ).
cnf(c_4015,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X3),X1),X0)),X3))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_50,c_3958]) ).
cnf(c_4092,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),X2))
| ~ is_a_theorem(X2)
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_856,c_4015]) ).
cnf(c_4254,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(X2,X3),X3),X1),X0)))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_50,c_4092]) ).
cnf(c_4288,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(equivalent(X1,X2))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_3920,c_4254]) ).
cnf(c_7012,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),X0)))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_50,c_851]) ).
cnf(c_7013,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X2),X1))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_7016,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X2,X1)) ),
inference(superposition,[status(thm)],[c_7013,c_851]) ).
cnf(c_7017,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(equivalent(X2,X1),X0)) ),
inference(superposition,[status(thm)],[c_7013,c_49]) ).
cnf(c_7048,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(X0,X2)) ),
inference(superposition,[status(thm)],[c_1048,c_851]) ).
cnf(c_7058,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_50,c_7048]) ).
cnf(c_7073,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(equivalent(X2,X1))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_7058,c_7012]) ).
cnf(c_7104,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),X2))
| ~ is_a_theorem(X0)
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_1130,c_676]) ).
cnf(c_7114,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_50,c_1076]) ).
cnf(c_7142,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X3),X1),X0)),X3))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_50,c_7073]) ).
cnf(c_7149,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(equivalent(X0,X3),X3),X2),X1))) ),
inference(superposition,[status(thm)],[c_50,c_7104]) ).
cnf(c_7150,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_7013,c_7104]) ).
cnf(c_7168,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_7150,c_7016]) ).
cnf(c_7178,plain,
( ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X1,X2),X2)) ),
inference(global_subsumption_just,[status(thm)],[c_7168,c_1987,c_2078]) ).
cnf(c_7179,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X0,X1),X1)) ),
inference(renaming,[status(thm)],[c_7178]) ).
cnf(c_7189,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X1,X1)) ),
inference(superposition,[status(thm)],[c_7179,c_7016]) ).
cnf(c_7198,plain,
is_a_theorem(equivalent(X0,X0)),
inference(superposition,[status(thm)],[c_50,c_7189]) ).
cnf(c_7230,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(equivalent(equivalent(equivalent(X2,X3),X3),X1),X0)) ),
inference(superposition,[status(thm)],[c_7149,c_49]) ).
cnf(c_7261,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X0),X2),equivalent(X3,X2))))
| ~ is_a_theorem(X3)
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_7230,c_7142]) ).
cnf(c_7298,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X0)))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_50,c_7261]) ).
cnf(c_7318,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X2))
| ~ is_a_theorem(X1)
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_7017,c_7298]) ).
cnf(c_7509,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X1,X2)) ),
inference(superposition,[status(thm)],[c_1130,c_7318]) ).
cnf(c_7516,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(X1,X0)) ),
inference(superposition,[status(thm)],[c_7017,c_7509]) ).
cnf(c_7524,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X1,equivalent(X0,X1))) ),
inference(superposition,[status(thm)],[c_7198,c_7509]) ).
cnf(c_7556,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X2),X1)),X3)) ),
inference(superposition,[status(thm)],[c_50,c_7516]) ).
cnf(c_7684,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),X0)),X2)),
inference(superposition,[status(thm)],[c_7198,c_7556]) ).
cnf(c_7882,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(equivalent(equivalent(X2,X1),X0),X2)) ),
inference(superposition,[status(thm)],[c_7684,c_7509]) ).
cnf(c_7887,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X1),X0)) ),
inference(superposition,[status(thm)],[c_7684,c_7114]) ).
cnf(c_7888,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X0),X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_7684,c_676]) ).
cnf(c_7934,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X1)))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_7887,c_7298]) ).
cnf(c_7948,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X0,equivalent(X1,X1))) ),
inference(superposition,[status(thm)],[c_7524,c_7888]) ).
cnf(c_7977,plain,
( ~ is_a_theorem(equivalent(X0,X0))
| is_a_theorem(equivalent(X1,X1)) ),
inference(superposition,[status(thm)],[c_7887,c_7934]) ).
cnf(c_8947,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X2,X0))
| is_a_theorem(equivalent(X2,X1)) ),
inference(superposition,[status(thm)],[c_7882,c_7073]) ).
cnf(c_9264,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X1)))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(X0,X2)) ),
inference(superposition,[status(thm)],[c_7887,c_8947]) ).
cnf(c_14527,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),X0)))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_50,c_851]) ).
cnf(c_14528,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X2),X1))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_14531,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X2,X1)) ),
inference(superposition,[status(thm)],[c_14528,c_851]) ).
cnf(c_14561,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(X0,X2)) ),
inference(superposition,[status(thm)],[c_1048,c_851]) ).
cnf(c_14652,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(X0,X2)) ),
inference(global_subsumption_just,[status(thm)],[c_14561,c_7948,c_9264]) ).
cnf(c_14653,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(X0,X1)) ),
inference(renaming,[status(thm)],[c_14652]) ).
cnf(c_14661,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(equivalent(X2,X1))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_14653,c_14527]) ).
cnf(c_14681,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),X2))
| ~ is_a_theorem(X0)
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_1130,c_676]) ).
cnf(c_14717,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X3),X1),X0)),X3))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_50,c_14661]) ).
cnf(c_14722,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X0),X2),X3)))
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(X3,X2)) ),
inference(superposition,[status(thm)],[c_1130,c_14661]) ).
cnf(c_14725,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_14528,c_14681]) ).
cnf(c_14743,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_14725,c_14531]) ).
cnf(c_14751,plain,
( ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X1,X2),X2)) ),
inference(global_subsumption_just,[status(thm)],[c_14743,c_1987,c_2078]) ).
cnf(c_14752,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X0,X1),X1)) ),
inference(renaming,[status(thm)],[c_14751]) ).
cnf(c_14762,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X1,X1)) ),
inference(superposition,[status(thm)],[c_14752,c_14531]) ).
cnf(c_14768,plain,
is_a_theorem(equivalent(X1,X1)),
inference(global_subsumption_just,[status(thm)],[c_14762,c_1987,c_7977]) ).
cnf(c_14769,plain,
is_a_theorem(equivalent(X0,X0)),
inference(renaming,[status(thm)],[c_14768]) ).
cnf(c_14808,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),X2))
| ~ is_a_theorem(X2)
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_856,c_14717]) ).
cnf(c_14925,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(equivalent(X2,X3),X3),X1),X0)))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_50,c_14808]) ).
cnf(c_15643,plain,
( ~ is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1070,c_4288]) ).
cnf(c_15644,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(equivalent(X1,X2))
| is_a_theorem(X0) ),
inference(renaming,[status(thm)],[c_15643]) ).
cnf(c_16270,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X0,X1)),X2)) ),
inference(superposition,[status(thm)],[c_50,c_14722]) ).
cnf(c_16338,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X0)))
| ~ is_a_theorem(X2)
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_16270,c_49]) ).
cnf(c_16348,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(X2,X0)) ),
inference(superposition,[status(thm)],[c_16270,c_14661]) ).
cnf(c_16352,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(X1,equivalent(X2,X0))) ),
inference(superposition,[status(thm)],[c_16270,c_14531]) ).
cnf(c_16571,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(equivalent(equivalent(X2,X1),X0),X2)) ),
inference(superposition,[status(thm)],[c_50,c_16348]) ).
cnf(c_16833,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X0,X1)))
| ~ is_a_theorem(X2)
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_16352,c_16338]) ).
cnf(c_17033,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X2),X1)) ),
inference(superposition,[status(thm)],[c_50,c_16833]) ).
cnf(c_17078,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),X0)),
inference(superposition,[status(thm)],[c_14769,c_17033]) ).
cnf(c_17116,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X0,X1),X2),X2))) ),
inference(superposition,[status(thm)],[c_17078,c_16348]) ).
cnf(c_17692,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X1)))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_17116,c_14925]) ).
cnf(c_17800,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X1),X1)),
inference(superposition,[status(thm)],[c_17078,c_17692]) ).
cnf(c_17817,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X0),X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_17800,c_49]) ).
cnf(c_17972,plain,
is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X2),X1),X0))),
inference(superposition,[status(thm)],[c_50,c_17817]) ).
cnf(c_18055,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X1),X2))
| is_a_theorem(equivalent(X2,X1)) ),
inference(superposition,[status(thm)],[c_17972,c_15644]) ).
cnf(c_20589,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X1,X0)) ),
inference(superposition,[status(thm)],[c_16571,c_18055]) ).
cnf(c_20730,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),X0)),X2)),
inference(superposition,[status(thm)],[c_50,c_20589]) ).
cnf(c_20836,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),X2)))
| is_a_theorem(equivalent(X2,X1)) ),
inference(superposition,[status(thm)],[c_20730,c_14661]) ).
cnf(c_27776,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X0),X1)),
inference(superposition,[status(thm)],[c_50,c_20836]) ).
cnf(c_27853,plain,
is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X0),X1))),
inference(superposition,[status(thm)],[c_27776,c_20589]) ).
cnf(c_28452,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X0,X1)))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_27853,c_16338]) ).
cnf(c_29641,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),X0)))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_50,c_851]) ).
cnf(c_29642,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X2),X1))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_29645,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X2,X1)) ),
inference(superposition,[status(thm)],[c_29642,c_851]) ).
cnf(c_29661,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),X2))
| ~ is_a_theorem(X0)
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_1130,c_676]) ).
cnf(c_29672,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(equivalent(X0,X3),X3),X2),X1))) ),
inference(superposition,[status(thm)],[c_50,c_29661]) ).
cnf(c_29673,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_29642,c_29661]) ).
cnf(c_29678,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X1,X2),X2)) ),
inference(superposition,[status(thm)],[c_29673,c_29645]) ).
cnf(c_29684,plain,
( ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X1,X2),X2)) ),
inference(global_subsumption_just,[status(thm)],[c_29678,c_1987,c_2078]) ).
cnf(c_29685,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X0,X1),X1)) ),
inference(renaming,[status(thm)],[c_29684]) ).
cnf(c_29686,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_29685,c_851]) ).
cnf(c_29688,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X1,X1)) ),
inference(superposition,[status(thm)],[c_29685,c_29645]) ).
cnf(c_29692,plain,
is_a_theorem(equivalent(X1,X1)),
inference(global_subsumption_just,[status(thm)],[c_29688,c_1987,c_7977]) ).
cnf(c_29693,plain,
is_a_theorem(equivalent(X0,X0)),
inference(renaming,[status(thm)],[c_29692]) ).
cnf(c_29704,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(equivalent(X2,X1))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_29686,c_29641]) ).
cnf(c_29870,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X0),X2),X3)))
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(X3,X2)) ),
inference(superposition,[status(thm)],[c_1130,c_29704]) ).
cnf(c_29874,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X1))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_29693,c_29704]) ).
cnf(c_30183,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),X0)))
| ~ is_a_theorem(equivalent(X3,X2))
| is_a_theorem(X3) ),
inference(superposition,[status(thm)],[c_50,c_1128]) ).
cnf(c_31518,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X0,X1)),X2)) ),
inference(superposition,[status(thm)],[c_50,c_29870]) ).
cnf(c_31531,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X1,X2)) ),
inference(superposition,[status(thm)],[c_29672,c_29870]) ).
cnf(c_31554,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X0)))
| ~ is_a_theorem(X2)
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_31518,c_49]) ).
cnf(c_31567,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(X1,equivalent(X2,X0))) ),
inference(superposition,[status(thm)],[c_31518,c_29645]) ).
cnf(c_31577,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X1,equivalent(X0,X1))) ),
inference(superposition,[status(thm)],[c_31518,c_29874]) ).
cnf(c_31705,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X1,X2)) ),
inference(superposition,[status(thm)],[c_31577,c_29870]) ).
cnf(c_32221,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X0,X1)))
| ~ is_a_theorem(X2)
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_31567,c_31554]) ).
cnf(c_32231,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X0,X1)))
| is_a_theorem(X1) ),
inference(global_subsumption_just,[status(thm)],[c_32221,c_28452]) ).
cnf(c_32234,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),X0)),
inference(superposition,[status(thm)],[c_50,c_32231]) ).
cnf(c_32493,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X1,X0)) ),
inference(superposition,[status(thm)],[c_32234,c_31705]) ).
cnf(c_32518,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),X0)),X2)),
inference(superposition,[status(thm)],[c_50,c_32493]) ).
cnf(c_32562,plain,
is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),X1))),
inference(superposition,[status(thm)],[c_32234,c_32493]) ).
cnf(c_32764,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X1)))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_32562,c_30183]) ).
cnf(c_32916,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X1),X1)),
inference(superposition,[status(thm)],[c_32234,c_32764]) ).
cnf(c_32928,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X0),X1))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_32916,c_49]) ).
cnf(c_32963,plain,
is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X2),X1),X0))),
inference(superposition,[status(thm)],[c_50,c_32928]) ).
cnf(c_33049,plain,
is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X0),X1),X2),equivalent(X2,X1))),
inference(superposition,[status(thm)],[c_32963,c_32493]) ).
cnf(c_33353,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X0))
| is_a_theorem(equivalent(equivalent(X2,X2),X1)) ),
inference(superposition,[status(thm)],[c_33049,c_29704]) ).
cnf(c_34309,plain,
is_a_theorem(equivalent(equivalent(X0,X0),equivalent(equivalent(equivalent(X1,X2),X2),X1))),
inference(superposition,[status(thm)],[c_32518,c_33353]) ).
cnf(c_34601,plain,
( ~ is_a_theorem(equivalent(X0,X0))
| is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X2),X1)) ),
inference(superposition,[status(thm)],[c_34309,c_31531]) ).
cnf(c_62422,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),X0)))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_50,c_851]) ).
cnf(c_62423,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X2),X1))) ),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_62426,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X2,X1)) ),
inference(superposition,[status(thm)],[c_62423,c_851]) ).
cnf(c_62427,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(equivalent(X2,X1),X0)) ),
inference(superposition,[status(thm)],[c_62423,c_49]) ).
cnf(c_62436,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X2,X3),equivalent(equivalent(equivalent(X0,X1),X3),X2))) ),
inference(superposition,[status(thm)],[c_1130,c_851]) ).
cnf(c_62442,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_62436,c_62422]) ).
cnf(c_62454,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(equivalent(X2,X1))
| is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_62442,c_62422]) ).
cnf(c_62479,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),X2))
| ~ is_a_theorem(X0)
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_1130,c_676]) ).
cnf(c_62489,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X3),X1),X0)),X3))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_50,c_62454]) ).
cnf(c_62497,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(equivalent(X0,X3),X3),X2),X1))) ),
inference(superposition,[status(thm)],[c_50,c_62479]) ).
cnf(c_62520,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X0),X2),X3)))
| ~ is_a_theorem(equivalent(X3,X2))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_62427,c_62489]) ).
cnf(c_62530,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_62497,c_62422]) ).
cnf(c_62535,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X0)),X1))
| is_a_theorem(X2) ),
inference(superposition,[status(thm)],[c_50,c_62520]) ).
cnf(c_62698,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X1,X1)) ),
inference(superposition,[status(thm)],[c_62530,c_62426]) ).
cnf(c_62702,plain,
is_a_theorem(equivalent(X1,X1)),
inference(global_subsumption_just,[status(thm)],[c_62698,c_1987,c_7977]) ).
cnf(c_62703,plain,
is_a_theorem(equivalent(X0,X0)),
inference(renaming,[status(thm)],[c_62702]) ).
cnf(c_62719,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(equivalent(X2,X0))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_62427,c_62535]) ).
cnf(c_62828,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X0))
| is_a_theorem(equivalent(X2,X1)) ),
inference(superposition,[status(thm)],[c_50,c_62719]) ).
cnf(c_62829,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X0,X1)))
| ~ is_a_theorem(X2)
| is_a_theorem(equivalent(X2,X1)) ),
inference(superposition,[status(thm)],[c_62423,c_62719]) ).
cnf(c_62853,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X0,X2))
| is_a_theorem(equivalent(X1,X2)) ),
inference(superposition,[status(thm)],[c_62427,c_62828]) ).
cnf(c_63020,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),X2),X1))) ),
inference(superposition,[status(thm)],[c_50,c_62829]) ).
cnf(c_63032,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(equivalent(equivalent(X2,X3),equivalent(equivalent(X0,X3),X2)),X1)) ),
inference(superposition,[status(thm)],[c_50,c_62853]) ).
cnf(c_63239,plain,
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X2),X1)) ),
inference(superposition,[status(thm)],[c_63020,c_49]) ).
cnf(c_63265,plain,
is_a_theorem(equivalent(equivalent(equivalent(X1,X2),X2),X1)),
inference(global_subsumption_just,[status(thm)],[c_63239,c_1987,c_34601]) ).
cnf(c_63266,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),X0)),
inference(renaming,[status(thm)],[c_63265]) ).
cnf(c_63267,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),X2))
| is_a_theorem(equivalent(X0,X2)) ),
inference(superposition,[status(thm)],[c_63266,c_62853]) ).
cnf(c_63341,plain,
is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),X1))),
inference(superposition,[status(thm)],[c_62703,c_63267]) ).
cnf(c_63356,plain,
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(equivalent(X1,X0)) ),
inference(superposition,[status(thm)],[c_63341,c_62719]) ).
cnf(c_63373,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),X0)),X2)),
inference(superposition,[status(thm)],[c_50,c_63356]) ).
cnf(c_63438,plain,
is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X0),X1)),
inference(superposition,[status(thm)],[c_63373,c_62828]) ).
cnf(c_63582,plain,
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X0))
| is_a_theorem(X1) ),
inference(superposition,[status(thm)],[c_63438,c_49]) ).
cnf(c_63762,plain,
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(equivalent(X0,X2),X1)) ),
inference(superposition,[status(thm)],[c_63032,c_63582]) ).
cnf(c_72254,plain,
is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X0,X1),X2)),equivalent(X2,X1))),
inference(superposition,[status(thm)],[c_50,c_63762]) ).
cnf(c_72974,plain,
is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(equivalent(X2,X1),X0)))),
inference(superposition,[status(thm)],[c_72254,c_63356]) ).
cnf(c_73252,plain,
$false,
inference(superposition,[status(thm)],[c_72974,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : LCL167-1 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n024.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri Aug 25 07:23:39 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 76.29/11.20 % SZS status Started for theBenchmark.p
% 76.29/11.20 % SZS status Unsatisfiable for theBenchmark.p
% 76.29/11.20
% 76.29/11.20 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 76.29/11.20
% 76.29/11.20 ------ iProver source info
% 76.29/11.20
% 76.29/11.20 git: date: 2023-05-31 18:12:56 +0000
% 76.29/11.20 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 76.29/11.20 git: non_committed_changes: false
% 76.29/11.20 git: last_make_outside_of_git: false
% 76.29/11.20
% 76.29/11.20 ------ Parsing...successful
% 76.29/11.20
% 76.29/11.20
% 76.29/11.20
% 76.29/11.20 ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e
% 76.29/11.20
% 76.29/11.20 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 76.29/11.20 ------ Proving...
% 76.29/11.20 ------ Problem Properties
% 76.29/11.20
% 76.29/11.20
% 76.29/11.20 clauses 3
% 76.29/11.20 conjectures 1
% 76.29/11.20 EPR 0
% 76.29/11.20 Horn 3
% 76.29/11.20 unary 2
% 76.29/11.20 binary 0
% 76.29/11.20 lits 5
% 76.29/11.20 lits eq 0
% 76.29/11.20 fd_pure 0
% 76.29/11.20 fd_pseudo 0
% 76.29/11.20 fd_cond 0
% 76.29/11.20 fd_pseudo_cond 0
% 76.29/11.20 AC symbols 0
% 76.29/11.20
% 76.29/11.20 ------ Input Options Time Limit: Unbounded
% 76.29/11.20
% 76.29/11.20
% 76.29/11.20 ------
% 76.29/11.20 Current options:
% 76.29/11.20 ------
% 76.29/11.20
% 76.29/11.20
% 76.29/11.20
% 76.29/11.20
% 76.29/11.20 ------ Proving...
% 76.29/11.20
% 76.29/11.20
% 76.29/11.20 % SZS status Unsatisfiable for theBenchmark.p
% 76.29/11.20
% 76.29/11.20 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 76.29/11.20
% 76.29/11.21
%------------------------------------------------------------------------------