%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL057-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.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 02:05:31 PM UTC 2026
% Result : Unsatisfiable 228.78s 36.53s
% Output : CNFRefutation 228.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 5
% Syntax : Number of formulae : 113 ( 51 unt; 0 def)
% Number of atoms : 193 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 162 ( 82 ~; 80 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 304 ( 0 sgn 304 !; 0 ?; 296 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(a,not(not(a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_40) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_56,plain,
! [X0: $i] : is_a_theorem(implies(implies(not(X0),X0),X0)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(cnf_transformation,[],[f4]) ).
tcf(c_58,negated_conjecture,
~ is_a_theorem(implies(a,not(not(a)))),
inference(cnf_transformation,[],[f5]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_57,c_54]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_84,c_54]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X2,X0),X3))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)) ),
inference(superposition,[status(thm)],[c_55,c_86]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(not(X0),X0),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_56,c_86]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_57,c_86]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(not(X2),X1))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_77,c_86]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X3,X1),X2))
| ~ is_a_theorem(implies(X0,X3))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_84,c_86]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(not(X0),X0),X2))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_89,c_86]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(superposition,[status(thm)],[c_89,c_54]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X3,X1),implies(X0,implies(X3,X2))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(superposition,[status(thm)],[c_117,c_88]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X0,X2)))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(superposition,[status(thm)],[c_117,c_90]) ).
tcf(c_204,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(X0,X3)))
| ~ is_a_theorem(implies(X0,not(implies(not(X1),X2)))) ),
inference(superposition,[status(thm)],[c_126,c_90]) ).
tcf(c_291,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_57,c_54]) ).
tcf(c_298,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_454,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_298,c_54]) ).
tcf(c_597,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X1,X0),X0))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_56,c_92]) ).
tcf(c_598,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(not(implies(X0,X2)),X3)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_57,c_92]) ).
tcf(c_712,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_597,c_54]) ).
tcf(c_717,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(not(X0),not(X1))) ),
inference(superposition,[status(thm)],[c_597,c_90]) ).
tcf(c_761,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_291,c_717]) ).
tcf(c_764,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_761,c_454]) ).
tcf(c_900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(not(implies(X2,X0)),implies(X2,X0)),X3))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)) ),
inference(superposition,[status(thm)],[c_55,c_102]) ).
tcf(c_902,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(not(X0),X0),X2))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_57,c_102]) ).
tcf(c_2976,plain,
! [X0: $i] : is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_56,c_90]) ).
tcf(c_3484,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(not(implies(X0,X2)),X3))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_598,c_54]) ).
tcf(c_3626,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(not(implies(X0,X2)),X3))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_57,c_3484]) ).
tcf(c_5148,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(not(X0),X0),implies(not(X0),X1))),
inference(superposition,[status(thm)],[c_2976,c_902]) ).
tcf(c_5294,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(not(X0),X2)))
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(superposition,[status(thm)],[c_5148,c_764]) ).
tcf(c_7695,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(implies(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_56,c_3626]) ).
tcf(c_8055,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))),
inference(superposition,[status(thm)],[c_7695,c_5294]) ).
tcf(c_8209,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(not(implies(not(implies(X1,X1)),X2)),X3))),
inference(superposition,[status(thm)],[c_8055,c_5294]) ).
tcf(c_10791,plain,
! [X0: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(superposition,[status(thm)],[c_56,c_54]) ).
tcf(c_10810,plain,
! [X0: $i] : is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_56,c_90]) ).
tcf(c_10914,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(superposition,[status(thm)],[c_56,c_764]) ).
tcf(c_10993,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X1,X0),X0))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_56,c_92]) ).
tcf(c_11085,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(not(implies(not(implies(X0,X0)),X1)),X2)),
inference(superposition,[status(thm)],[c_8209,c_10791]) ).
tcf(c_11100,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(implies(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_11085,c_10791]) ).
tcf(c_11112,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_11100,c_10914]) ).
tcf(c_11240,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(not(X0),not(X1))) ),
inference(superposition,[status(thm)],[c_10993,c_90]) ).
tcf(c_11455,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(not(implies(X0,X2)),X3))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_598,c_54]) ).
tcf(c_12774,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(not(X0),X0),implies(not(X0),X1))),
inference(superposition,[status(thm)],[c_10810,c_902]) ).
tcf(c_12898,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(not(X0),X2)))
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(superposition,[status(thm)],[c_12774,c_764]) ).
tcf(c_13564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(not(implies(X0,X2)),X3))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_57,c_11455]) ).
tcf(c_14283,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(not(implies(X0,implies(X1,X1))),X2)),
inference(superposition,[status(thm)],[c_11112,c_13564]) ).
tcf(c_14332,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_14283,c_11240]) ).
tcf(c_14381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(not(implies(X0,implies(X1,implies(X2,X2)))),X3)),
inference(superposition,[status(thm)],[c_14332,c_13564]) ).
tcf(c_15976,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(not(implies(X1,implies(X2,implies(X3,X3)))),X4))),
inference(superposition,[status(thm)],[c_14381,c_12898]) ).
tcf(c_132880,plain,
! [X0: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(superposition,[status(thm)],[c_56,c_54]) ).
tcf(c_132882,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_132899,plain,
! [X0: $i] : is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_56,c_90]) ).
tcf(c_133084,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X1,X0),X0))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_56,c_92]) ).
tcf(c_133172,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(not(implies(not(implies(X0,X0)),X1)),X2)),
inference(superposition,[status(thm)],[c_8209,c_132880]) ).
tcf(c_133185,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(not(implies(X0,X0)),X1),X2)) ),
inference(superposition,[status(thm)],[c_133172,c_103]) ).
tcf(c_133335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X0,implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(superposition,[status(thm)],[c_125,c_54]) ).
tcf(c_133383,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_132882,c_54]) ).
tcf(c_133405,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(not(X0),not(X1))) ),
inference(superposition,[status(thm)],[c_133084,c_90]) ).
tcf(c_133458,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(not(X0),not(implies(X1,X1)))) ),
inference(superposition,[status(thm)],[c_133084,c_133185]) ).
tcf(c_133556,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(not(implies(X0,X2)),X3))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_598,c_54]) ).
tcf(c_133707,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(implies(not(not(X0)),X1),X0)) ),
inference(superposition,[status(thm)],[c_57,c_712]) ).
tcf(c_134039,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(not(implies(X0,implies(X1,implies(X2,X2)))),X3)),
inference(superposition,[status(thm)],[c_15976,c_133707]) ).
tcf(c_134066,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_134039,c_133458]) ).
tcf(c_134084,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2)) ),
inference(superposition,[status(thm)],[c_134066,c_712]) ).
tcf(c_134123,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_55,c_134084]) ).
tcf(c_134210,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(not(X0),implies(X1,X2)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_134123,c_91]) ).
tcf(c_134217,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_134123,c_88]) ).
tcf(c_134580,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(not(implies(X0,X1)),implies(X0,X1)),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))),
inference(superposition,[status(thm)],[c_55,c_900]) ).
tcf(c_134903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))
| ~ is_a_theorem(implies(not(implies(X0,X1)),implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_134580,c_54]) ).
tcf(c_135538,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(not(X0),X0),implies(not(X0),X1))),
inference(superposition,[status(thm)],[c_132899,c_902]) ).
tcf(c_135573,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(not(X0),X0),implies(X1,implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_134217,c_902]) ).
tcf(c_137567,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(not(implies(X0,X2)),X3))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_57,c_133556]) ).
tcf(c_138925,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(not(implies(X0,implies(not(X0),X1))),X2)),
inference(superposition,[status(thm)],[c_135538,c_137567]) ).
tcf(c_138967,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(not(implies(X0,implies(X1,implies(not(X0),X2)))),X3)),
inference(superposition,[status(thm)],[c_135573,c_137567]) ).
tcf(c_138981,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(not(implies(X1,X2)),implies(X1,X2)),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_56,c_133335]) ).
tcf(c_139105,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(not(implies(X0,X1)),implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_138981,c_54]) ).
tcf(c_139166,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2)) ),
inference(superposition,[status(thm)],[c_138925,c_103]) ).
tcf(c_139639,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_134210,c_139105]) ).
tcf(c_140198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(implies(X3,implies(not(X0),X4)),X1),X2))),
inference(superposition,[status(thm)],[c_138967,c_134903]) ).
tcf(c_140272,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(superposition,[status(thm)],[c_55,c_139166]) ).
tcf(c_140504,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
inference(superposition,[status(thm)],[c_140272,c_88]) ).
tcf(c_143135,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,implies(not(X1),X1))) ),
inference(superposition,[status(thm)],[c_56,c_139639]) ).
tcf(c_143285,plain,
! [X0: $i] : is_a_theorem(implies(implies(not(implies(not(X0),X0)),implies(not(X0),X0)),X0)),
inference(superposition,[status(thm)],[c_56,c_143135]) ).
tcf(c_143381,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
inference(superposition,[status(thm)],[c_134123,c_143135]) ).
tcf(c_143405,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,not(not(implies(X0,X1)))),implies(X0,X1))),
inference(superposition,[status(thm)],[c_140504,c_143135]) ).
tcf(c_143451,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(implies(implies(not(X0),X0),X0)),X1)),
inference(superposition,[status(thm)],[c_143285,c_137567]) ).
tcf(c_143517,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),X2))
| ~ is_a_theorem(implies(implies(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_143381,c_92]) ).
tcf(c_143792,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(superposition,[status(thm)],[c_143451,c_133405]) ).
tcf(c_144710,plain,
! [X0: $i] : is_a_theorem(implies(implies(not(X0),not(not(implies(not(X0),X0)))),X0)),
inference(superposition,[status(thm)],[c_143405,c_143135]) ).
tcf(c_146728,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(implies(X3,implies(not(X0),X4)),X1),X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_140198,c_54]) ).
tcf(c_146787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(X4)
| ~ is_a_theorem(implies(implies(X1,X3),X4))
| ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3)) ),
inference(superposition,[status(thm)],[c_146728,c_54]) ).
tcf(c_146845,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(X4)
| ~ is_a_theorem(implies(implies(X0,implies(implies(implies(not(X0),X1),X2),implies(X3,X2))),X4)) ),
inference(superposition,[status(thm)],[c_55,c_146787]) ).
tcf(c_147542,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(implies(implies(not(X0),X1),X2),implies(X3,X2)),X4),implies(X0,X4))),
inference(superposition,[status(thm)],[c_55,c_146845]) ).
tcf(c_147743,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X0,X4))
| ~ is_a_theorem(implies(implies(implies(implies(not(X0),X1),X2),implies(X3,X2)),X4)) ),
inference(superposition,[status(thm)],[c_147542,c_54]) ).
tcf(c_168422,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(superposition,[status(thm)],[c_143792,c_143517]) ).
tcf(c_169454,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_168422,c_147743]) ).
tcf(c_169466,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_169454,c_133383]) ).
tcf(c_170635,plain,
! [X0: $i] : is_a_theorem(implies(not(not(implies(not(X0),X0))),X0)),
inference(superposition,[status(thm)],[c_144710,c_169466]) ).
tcf(c_171705,plain,
! [X0: $i] : is_a_theorem(implies(X0,not(implies(not(not(X0)),not(X0))))),
inference(superposition,[status(thm)],[c_170635,c_133405]) ).
tcf(c_173515,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(superposition,[status(thm)],[c_171705,c_204]) ).
tcf(c_174350,plain,
! [X0: $i] : is_a_theorem(implies(not(not(X0)),X0)),
inference(superposition,[status(thm)],[c_173515,c_143135]) ).
tcf(c_174431,plain,
! [X0: $i] : is_a_theorem(implies(X0,not(not(X0)))),
inference(superposition,[status(thm)],[c_174350,c_133405]) ).
tcf(c_174437,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_58,c_174431]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL057-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.37 % Computer : n005.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Wed Sep 23 21:45:08 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.41 Running first-order theorem proving
% 0.15/5.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.42
% 0.15/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.42
% 0.15/5.42 % Detected problem language: tptp
% 0.15/5.43 % Proving...
% 228.78/36.53 % SZS status Started for theBenchmark.p
% 228.78/36.53 % SZS status Unsatisfiable for theBenchmark.p
% 228.78/36.53
% 228.78/36.53 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 228.78/36.53
% 228.78/36.53 % ------ iProver source info
% 228.78/36.53
% 228.78/36.53 % git: date: 2026-07-19 20:42:38 +0200
% 228.78/36.53 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 228.78/36.53 % git: non_committed_changes: false
% 228.78/36.53
% 228.78/36.53 % ------ Parsing...% successful
% 228.78/36.53
% 228.78/36.53
% 228.78/36.53 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 228.78/36.53
% 228.78/36.53 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 228.78/36.53
% 228.78/36.53 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 228.78/36.53 % ------ Proving...
% 228.78/36.53 % ------ Problem Properties
% 228.78/36.53
% 228.78/36.53 %
% 228.78/36.53 % clauses 5
% 228.78/36.53 % conjectures 1
% 228.78/36.53 % EPR 0
% 228.78/36.53 % Horn 5
% 228.78/36.53 % unary 4
% 228.78/36.53 % binary 0
% 228.78/36.53 % lits 7
% 228.78/36.53 % lits eq 0
% 228.78/36.53 % fd_pure 0
% 228.78/36.53 % fd_pseudo 0
% 228.78/36.53 % fd_cond 0
% 228.78/36.53 % fd_pseudo_cond 0
% 228.78/36.53 % AC symbols 0
% 228.78/36.53
% 228.78/36.53 % ------ Input Options Time Limit: Unbounded
% 228.78/36.53
% 228.78/36.53
% 228.78/36.53 % ------
% 228.78/36.53 % Current options:
% 228.78/36.53 % ------
% 228.78/36.53
% 228.78/36.53
% 228.78/36.53 %
% 228.78/36.53
% 228.78/36.53 % ------ Proving...
% 228.78/36.53 %
% 228.78/36.53
% 228.78/36.53 % SZS status Unsatisfiable for theBenchmark.p
% 228.78/36.53
% 228.78/36.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 228.78/36.53
% 228.78/36.53
%------------------------------------------------------------------------------