%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL121-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:05:43 PM UTC 2026
% Result : Unsatisfiable 115.78s 27.19s
% Output : CNFRefutation 115.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 3
% Syntax : Number of formulae : 79 ( 28 unt; 0 def)
% Number of atoms : 152 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 148 ( 75 ~; 73 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 282 ( 0 sgn 282 !; 0 ?; 276 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lg_2) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,equivalent(c,c)),b)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_1) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(X0,equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,negated_conjecture,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,equivalent(c,c)),b)))),
inference(cnf_transformation,[],[f3]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_96,c_52]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
inference(superposition,[status(thm)],[c_53,c_100]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X1,X2)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_101,c_52]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X0,X2))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_103,c_52]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(X3,X1),X2))
| ~ is_a_theorem(equivalent(X0,X3))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_103,c_142]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_156,c_52]) ).
tcf(c_164,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
inference(superposition,[status(thm)],[c_53,c_161]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(equivalent(equivalent(X2,X3),equivalent(equivalent(X2,X4),equivalent(X3,X4))))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_103,c_161]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(equivalent(X0,X3),equivalent(X1,X3)),X2))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_164,c_142]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X0,X2))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_103,c_52]) ).
tcf(c_255,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
inference(superposition,[status(thm)],[c_53,c_166]) ).
tcf(c_261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(equivalent(X4,X3))
| ~ is_a_theorem(equivalent(equivalent(X0,X2),X4))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3)) ),
inference(superposition,[status(thm)],[c_172,c_225]) ).
tcf(c_262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(X3)
| ~ is_a_theorem(equivalent(equivalent(X0,X2),X3))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1))) ),
inference(superposition,[status(thm)],[c_172,c_52]) ).
tcf(c_293,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_103,c_262]) ).
tcf(c_356,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X0,X3),equivalent(X2,X3))))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_255,c_153]) ).
tcf(c_466,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X2,X3)))
| ~ is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_356,c_293]) ).
tcf(c_506,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(X3)
| ~ is_a_theorem(equivalent(equivalent(X0,X2),X3))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1))) ),
inference(superposition,[status(thm)],[c_172,c_293]) ).
tcf(c_507,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X3,X2))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X3))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_172,c_261]) ).
tcf(c_578,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X0,X2))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_103,c_52]) ).
tcf(c_584,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
inference(superposition,[status(thm)],[c_53,c_166]) ).
tcf(c_620,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(equivalent(equivalent(equivalent(X0,X2),X4),equivalent(X3,X4)))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3)) ),
inference(superposition,[status(thm)],[c_584,c_466]) ).
tcf(c_635,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X2,equivalent(equivalent(X0,X3),equivalent(X1,X3))))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_584,c_507]) ).
tcf(c_636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X2,equivalent(X3,X1)))
| ~ is_a_theorem(equivalent(X0,X3))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_103,c_507]) ).
tcf(c_691,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(equivalent(equivalent(equivalent(X0,X4),equivalent(X1,X4)),X3))
| ~ is_a_theorem(equivalent(X2,X3))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_635,c_578]) ).
tcf(c_692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X1,X3)))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_635,c_52]) ).
tcf(c_749,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(equivalent(X0,X2),equivalent(X3,X2)),equivalent(X1,X3)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_584,c_636]) ).
tcf(c_786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X3,X2))
| ~ is_a_theorem(equivalent(X0,X3))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1))) ),
inference(superposition,[status(thm)],[c_749,c_293]) ).
tcf(c_819,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X2,X3)))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1))) ),
inference(superposition,[status(thm)],[c_584,c_692]) ).
tcf(c_880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_882,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
inference(superposition,[status(thm)],[c_53,c_166]) ).
tcf(c_918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(equivalent(equivalent(X0,X4),equivalent(equivalent(X1,X3),X4)))
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2)))) ),
inference(superposition,[status(thm)],[c_880,c_819]) ).
tcf(c_930,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(X0,X2))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_103,c_786]) ).
tcf(c_947,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X2,equivalent(X3,X1)))
| ~ is_a_theorem(equivalent(X0,X3))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_103,c_930]) ).
tcf(c_957,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X3),equivalent(X2,X3)))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_172,c_620]) ).
tcf(c_1027,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X2,X3))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X3))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_957,c_293]) ).
tcf(c_1239,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( is_a_theorem(equivalent(equivalent(equivalent(X0,X6),equivalent(X1,X6)),X5))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X3),equivalent(equivalent(X2,X4),equivalent(X3,X4)))),X5)) ),
inference(superposition,[status(thm)],[c_53,c_691]) ).
tcf(c_1313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(equivalent(X0,X2),equivalent(X3,X2)),equivalent(X1,X3)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_882,c_947]) ).
tcf(c_1441,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
inference(superposition,[status(thm)],[c_53,c_166]) ).
tcf(c_1697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))),X4),equivalent(equivalent(X0,equivalent(X1,X3)),X4))),
inference(superposition,[status(thm)],[c_53,c_918]) ).
tcf(c_1698,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X0,X1),X2))),
inference(superposition,[status(thm)],[c_1441,c_918]) ).
tcf(c_1816,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3),equivalent(equivalent(X0,X2),X3))),
inference(superposition,[status(thm)],[c_1698,c_918]) ).
tcf(c_1817,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(X2,X3),equivalent(equivalent(X0,X1),X3)))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_1698,c_153]) ).
tcf(c_1820,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X1)),X2)) ),
inference(superposition,[status(thm)],[c_1698,c_506]) ).
tcf(c_1833,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_1313,c_1820]) ).
tcf(c_1844,plain,
! [X0: $i,X1: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
inference(superposition,[status(thm)],[c_1698,c_1820]) ).
tcf(c_1886,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X0,X2)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_1844,c_153]) ).
tcf(c_1895,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2))),
inference(superposition,[status(thm)],[c_1441,c_1833]) ).
tcf(c_1978,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(X0,X2),X3))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3)) ),
inference(superposition,[status(thm)],[c_1895,c_1027]) ).
tcf(c_1979,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X0,X2))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1))) ),
inference(superposition,[status(thm)],[c_1895,c_293]) ).
tcf(c_2304,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_1886,c_506]) ).
tcf(c_2314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(X0,X3),X2))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X1,X3)))) ),
inference(superposition,[status(thm)],[c_172,c_1979]) ).
tcf(c_2324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))),equivalent(X0,equivalent(X1,X3)))),
inference(superposition,[status(thm)],[c_1697,c_1979]) ).
tcf(c_2421,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X1,X2),X0))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_1698,c_2304]) ).
tcf(c_2426,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,X0))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1))) ),
inference(superposition,[status(thm)],[c_1895,c_2304]) ).
tcf(c_2784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(X0,X1),X3))
| ~ is_a_theorem(equivalent(X2,X3))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_1817,c_52]) ).
tcf(c_2946,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(equivalent(equivalent(X0,X1),X5))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X3),equivalent(equivalent(X2,X4),equivalent(X3,X4)))),X5)) ),
inference(superposition,[status(thm)],[c_53,c_2784]) ).
tcf(c_3149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X0,X3),equivalent(X2,equivalent(X3,X1))))),
inference(superposition,[status(thm)],[c_1816,c_1978]) ).
tcf(c_3162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,equivalent(X3,X2)),equivalent(X1,X3)))),
inference(superposition,[status(thm)],[c_2324,c_1978]) ).
tcf(c_3222,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X1,X3))),equivalent(equivalent(X0,X3),X2))),
inference(superposition,[status(thm)],[c_3149,c_2421]) ).
tcf(c_3263,plain,
! [X0: $i,X1: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X0)),
inference(superposition,[status(thm)],[c_3162,c_2426]) ).
tcf(c_3926,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),X2),X0)),
inference(superposition,[status(thm)],[c_3263,c_2314]) ).
tcf(c_100805,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(X0,X2))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_103,c_52]) ).
tcf(c_100826,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X0,X3))
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),X2),X3)) ),
inference(superposition,[status(thm)],[c_3926,c_100805]) ).
tcf(c_100913,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X0,equivalent(X3,X2)))
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),X3)) ),
inference(superposition,[status(thm)],[c_103,c_100826]) ).
tcf(c_114998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X0,X3),equivalent(X2,equivalent(X3,X1))))),
inference(superposition,[status(thm)],[c_3222,c_2421]) ).
tcf(c_143424,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X1,equivalent(equivalent(X3,X3),X2)))))),
inference(superposition,[status(thm)],[c_114998,c_100826]) ).
tcf(c_144314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X1,equivalent(equivalent(X3,X3),X2)))),X0)),
inference(superposition,[status(thm)],[c_143424,c_2421]) ).
tcf(c_145876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,equivalent(X2,equivalent(X3,X3))),X1)),X0)),
inference(superposition,[status(thm)],[c_144314,c_1239]) ).
tcf(c_149241,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,equivalent(X3,X3)),X2))),X0)),
inference(superposition,[status(thm)],[c_145876,c_2946]) ).
tcf(c_151851,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(X0,equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X2)),X1)))),
inference(superposition,[status(thm)],[c_149241,c_100913]) ).
tcf(c_152983,plain,
$false,
inference(superposition,[status(thm)],[c_151851,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL121-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.05/10.33 % Computer : n012.cluster.edu
% 0.05/10.33 % Model : x86_64 x86_64
% 0.05/10.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/10.33 % Memory : 8046.5625MB
% 0.05/10.33 % OS : Linux 6.8.0-71-generic
% 0.05/10.33 % CPULimit : 300
% 0.05/10.33 % WCLimit : 300
% 0.05/10.33 % DateTime : Wed Sep 23 22:01:03 UTC 2026
% 0.05/10.33 % CPUTime :
% 0.05/10.33 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.05/10.35 Running first-order theorem proving
% 0.05/10.35 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.05/10.36
% 0.05/10.36 % ======== iProver multi-core TPTP/SMT =========
% 0.05/10.36
% 0.05/10.36 % Detected problem language: tptp
% 0.05/10.37 % Proving...
% 115.78/27.19 % SZS status Started for theBenchmark.p
% 115.78/27.19 % SZS status Unsatisfiable for theBenchmark.p
% 115.78/27.19
% 115.78/27.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 115.78/27.19
% 115.78/27.19 % ------ iProver source info
% 115.78/27.19
% 115.78/27.19 % git: date: 2026-07-19 20:42:38 +0200
% 115.78/27.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 115.78/27.19 % git: non_committed_changes: false
% 115.78/27.19
% 115.78/27.19 % ------ Parsing...% successful
% 115.78/27.19
% 115.78/27.19
% 115.78/27.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 115.78/27.19
% 115.78/27.19 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 115.78/27.19
% 115.78/27.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 115.78/27.19 % ------ Proving...
% 115.78/27.19 % ------ Problem Properties
% 115.78/27.19
% 115.78/27.19 %
% 115.78/27.19 % clauses 3
% 115.78/27.19 % conjectures 1
% 115.78/27.19 % EPR 0
% 115.78/27.19 % Horn 3
% 115.78/27.19 % unary 2
% 115.78/27.19 % binary 0
% 115.78/27.19 % lits 5
% 115.78/27.19 % lits eq 0
% 115.78/27.19 % fd_pure 0
% 115.78/27.19 % fd_pseudo 0
% 115.78/27.19 % fd_cond 0
% 115.78/27.19 % fd_pseudo_cond 0
% 115.78/27.19 % AC symbols 0
% 115.78/27.19
% 115.78/27.19 % ------ Input Options Time Limit: Unbounded
% 115.78/27.19
% 115.78/27.19
% 115.78/27.19 % ------
% 115.78/27.19 % Current options:
% 115.78/27.19 % ------
% 115.78/27.19
% 115.78/27.19
% 115.78/27.19 %
% 115.78/27.19
% 115.78/27.19 % ------ Proving...
% 115.78/27.19 %
% 115.78/27.19
% 115.78/27.19 % SZS status Unsatisfiable for theBenchmark.p
% 115.78/27.19
% 115.78/27.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 115.78/27.19
% 115.78/27.19
%------------------------------------------------------------------------------