%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL019-1 : 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 : 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 02:05:26 PM UTC 2026
% Result : Unsatisfiable 150.82s 20.71s
% Output : CNFRefutation 150.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 3
% Syntax : Number of formulae : 110 ( 39 unt; 0 def)
% Number of atoms : 194 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 170 ( 86 ~; 84 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 301 ( 0 sgn 301 !; 0 ?; 296 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X0)),equivalent(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xgk) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),b),equivalent(c,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_pym) ).
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] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X0)),equivalent(X2,X1)))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),b),equivalent(c,a))),
inference(cnf_transformation,[],[f3]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X0)),equivalent(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_87,c_52]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X1,equivalent(X0,X2)),X2))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_53,c_90]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X0)),equivalent(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_97,c_52]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_136,c_52]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X2)) ),
inference(superposition,[status(thm)],[c_53,c_143]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X0,X2)))) ),
inference(superposition,[status(thm)],[c_136,c_143]) ).
tcf(c_542,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equivalent(X0,equivalent(X1,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_53,c_160]) ).
tcf(c_550,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equivalent(X1,X1))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_542,c_52]) ).
tcf(c_555,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X2)))) ),
inference(superposition,[status(thm)],[c_542,c_159]) ).
tcf(c_558,plain,
! [X0: $i] : is_a_theorem(equivalent(X0,X0)),
inference(superposition,[status(thm)],[c_53,c_550]) ).
tcf(c_573,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equivalent(X1,equivalent(X1,X0)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_558,c_149]) ).
tcf(c_769,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equivalent(X1,X1))
| ~ is_a_theorem(equivalent(X0,X0)) ),
inference(superposition,[status(thm)],[c_573,c_555]) ).
tcf(c_138765,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X0)),equivalent(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_138766,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_97,c_52]) ).
tcf(c_138798,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equivalent(X0,equivalent(X1,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_53,c_160]) ).
tcf(c_138802,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equivalent(X1,X1))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_138798,c_52]) ).
tcf(c_138803,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_138798,c_138766]) ).
tcf(c_138805,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X2)))) ),
inference(superposition,[status(thm)],[c_138798,c_159]) ).
tcf(c_138807,plain,
! [X1: $i] : is_a_theorem(equivalent(X1,X1)),
inference(global_subsumption_just,[status(thm)],[c_138802,c_558,c_769]) ).
tcf(c_138808,plain,
! [X0: $i] : is_a_theorem(equivalent(X0,X0)),
inference(renaming,[status(thm)],[c_138807]) ).
tcf(c_138810,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X0,equivalent(X0,X1))) ),
inference(superposition,[status(thm)],[c_138808,c_138766]) ).
tcf(c_138821,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X1,X0))) ),
inference(superposition,[status(thm)],[c_53,c_138803]) ).
tcf(c_138824,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,equivalent(X0,X2)))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_97,c_138803]) ).
tcf(c_138847,plain,
! [X0: $i,X1: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),X1)),
inference(superposition,[status(thm)],[c_53,c_138805]) ).
tcf(c_138853,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equivalent(equivalent(X1,X1),X0))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_138798,c_138805]) ).
tcf(c_138976,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X1,equivalent(X0,X2))))) ),
inference(superposition,[status(thm)],[c_138847,c_138766]) ).
tcf(c_138977,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,equivalent(X2,equivalent(X2,equivalent(X1,X0)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_138847,c_149]) ).
tcf(c_138980,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X1,equivalent(X0,equivalent(X2,X2)))))),
inference(superposition,[status(thm)],[c_138847,c_138805]) ).
tcf(c_138984,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X0,equivalent(X2,X2)))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_138853,c_149]) ).
tcf(c_138989,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(equivalent(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_138853,c_138810]) ).
tcf(c_139032,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X2))),equivalent(X1,X0))),
inference(superposition,[status(thm)],[c_53,c_138989]) ).
tcf(c_139070,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X2))))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_138980,c_138766]) ).
tcf(c_139140,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X2,equivalent(X3,X3)))
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X1,X0))) ),
inference(superposition,[status(thm)],[c_53,c_138984]) ).
tcf(c_139242,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_138824,c_138976]) ).
tcf(c_139449,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_139070,c_138805]) ).
tcf(c_139517,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X1,X0)),X2)),
inference(superposition,[status(thm)],[c_53,c_139449]) ).
tcf(c_139518,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X2,equivalent(X1,X0))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_138765,c_139449]) ).
tcf(c_139520,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,equivalent(X1,equivalent(X0,X2))))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_97,c_139449]) ).
tcf(c_139539,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,equivalent(X0,equivalent(X2,X2))))),
inference(superposition,[status(thm)],[c_139032,c_139449]) ).
tcf(c_139569,plain,
! [X0: $i,X1: $i] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X0,X1)))),
inference(superposition,[status(thm)],[c_139517,c_159]) ).
tcf(c_139577,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,equivalent(X2,X2)))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X0))) ),
inference(superposition,[status(thm)],[c_139569,c_138984]) ).
tcf(c_139578,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X0))) ),
inference(superposition,[status(thm)],[c_139569,c_138803]) ).
tcf(c_139666,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,equivalent(X0,X2)))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X1))) ),
inference(superposition,[status(thm)],[c_139539,c_149]) ).
tcf(c_141991,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X0)))) ),
inference(superposition,[status(thm)],[c_53,c_139242]) ).
tcf(c_142426,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,X0))
| ~ is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_138824,c_141991]) ).
tcf(c_143758,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X1,X0))),equivalent(X2,X2))),
inference(superposition,[status(thm)],[c_53,c_139577]) ).
tcf(c_143819,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X2,X1))))) ),
inference(superposition,[status(thm)],[c_143758,c_138766]) ).
tcf(c_143820,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X2,X1)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_143758,c_149]) ).
tcf(c_144084,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,equivalent(X1,X2)))
| ~ is_a_theorem(equivalent(X0,equivalent(X0,X1))) ),
inference(superposition,[status(thm)],[c_139520,c_139666]) ).
tcf(c_147638,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X1,equivalent(X1,X2)),equivalent(X2,X0)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_138765,c_143819]) ).
tcf(c_147799,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_143820,c_138821]) ).
tcf(c_148955,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X1,X0)),X2))) ),
inference(superposition,[status(thm)],[c_147638,c_138976]) ).
tcf(c_148994,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X0,X2))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X1,X2)))) ),
inference(superposition,[status(thm)],[c_147638,c_141991]) ).
tcf(c_149754,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(X2,X1)),X0)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_138977,c_147799]) ).
tcf(c_149781,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X0,equivalent(X2,equivalent(X2,X1))))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_139520,c_147799]) ).
tcf(c_150170,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X2,equivalent(X2,X0)),X1))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_147638,c_148994]) ).
tcf(c_151238,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),X2)) ),
inference(superposition,[status(thm)],[c_149754,c_148994]) ).
tcf(c_152305,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X1)) ),
inference(superposition,[status(thm)],[c_149781,c_138821]) ).
tcf(c_153905,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X2,X0))))) ),
inference(superposition,[status(thm)],[c_150170,c_139578]) ).
tcf(c_155596,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,equivalent(X3,equivalent(X3,X0)))),equivalent(X2,X1)))),
inference(superposition,[status(thm)],[c_53,c_151238]) ).
tcf(c_156571,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X2,equivalent(X1,X0)))))),
inference(superposition,[status(thm)],[c_155596,c_139578]) ).
tcf(c_156581,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X1,equivalent(X0,X2)))),X2)),
inference(superposition,[status(thm)],[c_156571,c_139449]) ).
tcf(c_156585,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,equivalent(X2,equivalent(X1,X0))))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_156571,c_139242]) ).
tcf(c_157481,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X0,X1))),equivalent(X2,X2))),
inference(superposition,[status(thm)],[c_156581,c_139140]) ).
tcf(c_157527,plain,
! [X0: $i,X1: $i] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),X1))),
inference(superposition,[status(thm)],[c_156581,c_152305]) ).
tcf(c_157776,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X1,X2))))) ),
inference(superposition,[status(thm)],[c_157481,c_138766]) ).
tcf(c_158734,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,equivalent(X2,equivalent(X2,X1))))),
inference(superposition,[status(thm)],[c_155596,c_153905]) ).
tcf(c_159631,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X1,X2))),equivalent(X0,X2))),
inference(superposition,[status(thm)],[c_158734,c_139449]) ).
tcf(c_159886,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,equivalent(equivalent(X1,X0),X2)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_156585,c_144084]) ).
tcf(c_161171,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X1)),equivalent(X2,X0)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_138765,c_157776]) ).
tcf(c_161338,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X1,equivalent(X2,equivalent(X0,X2)))))),
inference(superposition,[status(thm)],[c_159631,c_157776]) ).
tcf(c_161880,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),equivalent(X2,equivalent(X1,X2)))),
inference(superposition,[status(thm)],[c_161338,c_148955]) ).
tcf(c_163045,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X0)),equivalent(X2,equivalent(X2,X1)))),
inference(superposition,[status(thm)],[c_161880,c_139449]) ).
tcf(c_163187,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,X1))
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X0)),X2)) ),
inference(superposition,[status(thm)],[c_163045,c_139242]) ).
tcf(c_164308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X3,X2)))),equivalent(X1,X0)),X3)),
inference(superposition,[status(thm)],[c_53,c_163187]) ).
tcf(c_164366,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X2,X0)),X1))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_139518,c_163187]) ).
tcf(c_164503,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X1,equivalent(X2,X0)))),X2)),
inference(superposition,[status(thm)],[c_158734,c_163187]) ).
tcf(c_164504,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X0)),X2),X2),X1)),
inference(superposition,[status(thm)],[c_157527,c_163187]) ).
tcf(c_165065,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X1,equivalent(X2,X0))))) ),
inference(superposition,[status(thm)],[c_164503,c_52]) ).
tcf(c_165070,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X0,X1),X1)),equivalent(X2,X2))),
inference(superposition,[status(thm)],[c_164503,c_139140]) ).
tcf(c_165129,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X1)),equivalent(X0,X2)))),
inference(superposition,[status(thm)],[c_164504,c_159]) ).
tcf(c_165572,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X0,X2))))) ),
inference(superposition,[status(thm)],[c_161171,c_165065]) ).
tcf(c_166315,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(X1,X2),X2)))) ),
inference(superposition,[status(thm)],[c_165070,c_138766]) ).
tcf(c_167324,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_164366,c_52]) ).
tcf(c_168345,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X1))),X2)) ),
inference(superposition,[status(thm)],[c_165129,c_167324]) ).
tcf(c_170296,plain,
! [X0: $i,X1: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X0))),
inference(superposition,[status(thm)],[c_53,c_165572]) ).
tcf(c_177701,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,equivalent(X2,equivalent(X0,X2))))),
inference(superposition,[status(thm)],[c_164308,c_168345]) ).
tcf(c_177725,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X1))),equivalent(X2,X0))),
inference(superposition,[status(thm)],[c_177701,c_139449]) ).
tcf(c_179359,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X1,equivalent(equivalent(X0,X2),X2))))),
inference(superposition,[status(thm)],[c_159631,c_166315]) ).
tcf(c_179427,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),equivalent(X2,equivalent(X0,X2)))),
inference(superposition,[status(thm)],[c_177725,c_166315]) ).
tcf(c_180423,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,equivalent(equivalent(X0,X2),X2)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_179359,c_139242]) ).
tcf(c_180741,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),X2))) ),
inference(superposition,[status(thm)],[c_179427,c_138766]) ).
tcf(c_197474,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,equivalent(X0,equivalent(X2,X1))))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_180423,c_141991]) ).
tcf(c_205247,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X2)) ),
inference(superposition,[status(thm)],[c_197474,c_180741]) ).
tcf(c_224989,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(X0,X3))
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X2,X1)))) ),
inference(superposition,[status(thm)],[c_53,c_142426]) ).
tcf(c_225313,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X0,equivalent(X2,X1)))
| ~ is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(superposition,[status(thm)],[c_170296,c_142426]) ).
tcf(c_225603,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(X0,X2),X1))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_159886,c_224989]) ).
tcf(c_225703,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X1),X2)),
inference(superposition,[status(thm)],[c_158734,c_224989]) ).
tcf(c_226042,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,X2)),X1)),
inference(superposition,[status(thm)],[c_225703,c_205247]) ).
tcf(c_235358,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X1),equivalent(X0,X2))),
inference(superposition,[status(thm)],[c_226042,c_225603]) ).
tcf(c_251881,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X1),equivalent(X2,X0))),
inference(superposition,[status(thm)],[c_235358,c_225313]) ).
tcf(c_270294,plain,
$false,
inference(superposition,[status(thm)],[c_251881,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL019-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Wed Sep 23 21:37:21 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 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
% 0.07/0.33
% 0.07/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.33
% 0.07/0.33 % Detected problem language: tptp
% 0.07/0.34 % Proving...
% 150.82/20.71 % SZS status Started for theBenchmark.p
% 150.82/20.71 % SZS status Unsatisfiable for theBenchmark.p
% 150.82/20.71
% 150.82/20.71 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 150.82/20.71
% 150.82/20.71 % ------ iProver source info
% 150.82/20.71
% 150.82/20.71 % git: date: 2026-07-19 20:42:38 +0200
% 150.82/20.71 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 150.82/20.71 % git: non_committed_changes: false
% 150.82/20.71
% 150.82/20.71 % ------ Parsing...% successful
% 150.82/20.71
% 150.82/20.71
% 150.82/20.71 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 150.82/20.71
% 150.82/20.71 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 150.82/20.71
% 150.82/20.71 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 150.82/20.71 % ------ Proving...
% 150.82/20.71 % ------ Problem Properties
% 150.82/20.71
% 150.82/20.71 %
% 150.82/20.71 % clauses 3
% 150.82/20.71 % conjectures 1
% 150.82/20.71 % EPR 0
% 150.82/20.71 % Horn 3
% 150.82/20.71 % unary 2
% 150.82/20.71 % binary 0
% 150.82/20.71 % lits 5
% 150.82/20.71 % lits eq 0
% 150.82/20.71 % fd_pure 0
% 150.82/20.71 % fd_pseudo 0
% 150.82/20.71 % fd_cond 0
% 150.82/20.71 % fd_pseudo_cond 0
% 150.82/20.71 % AC symbols 0
% 150.82/20.71
% 150.82/20.71 % ------ Input Options Time Limit: Unbounded
% 150.82/20.71
% 150.82/20.71
% 150.82/20.71 % ------
% 150.82/20.71 % Current options:
% 150.82/20.71 % ------
% 150.82/20.71
% 150.82/20.71
% 150.82/20.71 %
% 150.82/20.71
% 150.82/20.71 % ------ Proving...
% 150.82/20.71 %
% 150.82/20.71
% 150.82/20.71 % SZS status Unsatisfiable for theBenchmark.p
% 150.82/20.71
% 150.82/20.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 150.82/20.71
% 150.82/20.71
%------------------------------------------------------------------------------