%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL123-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n017.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 105.44s 19.47s
% Output : CNFRefutation 105.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 3
% Syntax : Number of formulae : 70 ( 22 unt; 0 def)
% Number of atoms : 134 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 130 ( 66 ~; 64 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 6 ( 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 : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 216 ( 0 sgn 216 !; 0 ?; 210 :)
% 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(equivalent(equivalent(a,equivalent(b,c)),equivalent(e,equivalent(b,f))),equivalent(a,equivalent(e,equivalent(c,f))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_4) ).
tcf(c_52,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(e,equivalent(b,f))),equivalent(a,equivalent(e,equivalent(c,f))))),
inference(cnf_transformation,[],[f3]) ).
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,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_106,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_54]) ).
tcf(c_122,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_106,c_54]) ).
tcf(c_150,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_122]) ).
tcf(c_172,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_150,c_54]) ).
tcf(c_192,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_172,c_54]) ).
tcf(c_218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X2,X3),equivalent(equivalent(X2,X4),equivalent(X3,X4)))),X1))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_53,c_192]) ).
tcf(c_219,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_150,c_192]) ).
tcf(c_221,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_172,c_192]) ).
tcf(c_324,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(equivalent(X5,X4))
| ~ is_a_theorem(equivalent(X0,X5))
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))),X4)) ),
inference(superposition,[status(thm)],[c_218,c_192]) ).
tcf(c_432,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_219,c_192]) ).
tcf(c_433,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_219,c_54]) ).
tcf(c_498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(X4)
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X3)),X4))
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2)))) ),
inference(superposition,[status(thm)],[c_106,c_433]) ).
tcf(c_715,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_150,c_221]) ).
tcf(c_861,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_715,c_54]) ).
tcf(c_1191,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_54]) ).
tcf(c_1198,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_1191,c_54]) ).
tcf(c_1205,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_1198]) ).
tcf(c_1207,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_1205,c_54]) ).
tcf(c_1214,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_1207,c_54]) ).
tcf(c_1247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X2,X3),equivalent(equivalent(X2,X4),equivalent(X3,X4)))),X1))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_53,c_1214]) ).
tcf(c_1279,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(equivalent(equivalent(X0,X5),equivalent(X4,X5)))
| ~ is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))),X4)) ),
inference(superposition,[status(thm)],[c_53,c_861]) ).
tcf(c_1280,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_1205,c_861]) ).
tcf(c_2411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(equivalent(equivalent(X0,X3),X4),equivalent(equivalent(X1,X3),X4)),X2))),
inference(superposition,[status(thm)],[c_1205,c_1280]) ).
tcf(c_2652,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X3),X4),equivalent(equivalent(X1,X3),X4)),X2))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_2411,c_54]) ).
tcf(c_2840,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_1247,c_324]) ).
tcf(c_4333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(X4)
| ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))),equivalent(X0,equivalent(X1,X3))),X4)) ),
inference(superposition,[status(thm)],[c_53,c_498]) ).
tcf(c_4334,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_1205,c_498]) ).
tcf(c_5159,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(equivalent(equivalent(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_2652,c_4334]) ).
tcf(c_5181,plain,
! [X0: $i,X1: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
inference(superposition,[status(thm)],[c_1205,c_5159]) ).
tcf(c_5183,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_1207,c_5159]) ).
tcf(c_5459,plain,
! [X0: $i] : is_a_theorem(equivalent(X0,X0)),
inference(superposition,[status(thm)],[c_5181,c_5159]) ).
tcf(c_5460,plain,
is_a_theorem(equivalent(a,a)),
inference(instantiation,[status(thm)],[c_5459]) ).
tcf(c_5482,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(equivalent(X0,X3),equivalent(X1,X3)),X2))),
inference(superposition,[status(thm)],[c_5459,c_1280]) ).
tcf(c_5657,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_1205,c_5183]) ).
tcf(c_6279,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_5657,c_1214]) ).
tcf(c_6281,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_5657,c_54]) ).
tcf(c_6288,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(X2,equivalent(X0,X1)))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_5657,c_432]) ).
tcf(c_6934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X0,X2),X3),equivalent(equivalent(X1,X2),X3)))),
inference(superposition,[status(thm)],[c_2411,c_6281]) ).
tcf(c_7866,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_5459,c_4333]) ).
tcf(c_14254,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_54]) ).
tcf(c_14260,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_5482,c_54]) ).
tcf(c_14289,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_14254,c_54]) ).
tcf(c_14306,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_6934,c_14289]) ).
tcf(c_14312,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_14260,c_54]) ).
tcf(c_14376,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_14306,c_54]) ).
tcf(c_14377,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_14306,c_6288]) ).
tcf(c_14384,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_14377,c_54]) ).
tcf(c_14395,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_14376,c_6288]) ).
tcf(c_14428,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equivalent(X1,X0))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_14395,c_14384]) ).
tcf(c_15114,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_14395,c_14312]) ).
tcf(c_19695,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X0,X2),equivalent(X3,X2)),equivalent(X1,X3)))),
inference(superposition,[status(thm)],[c_5482,c_6279]) ).
tcf(c_19708,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_7866,c_6279]) ).
tcf(c_19893,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X0,X3)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(superposition,[status(thm)],[c_19695,c_15114]) ).
tcf(c_20440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X3,X1)),equivalent(X0,equivalent(X3,X2)))),
inference(superposition,[status(thm)],[c_19708,c_14428]) ).
tcf(c_50857,plain,
! [X0: $i] :
( is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(e,equivalent(b,f))),equivalent(a,equivalent(e,equivalent(c,f)))))
| ~ is_a_theorem(equivalent(X0,equivalent(a,equivalent(e,equivalent(c,f)))))
| ~ is_a_theorem(equivalent(X0,equivalent(equivalent(a,equivalent(b,c)),equivalent(e,equivalent(b,f))))) ),
inference(instantiation,[status(thm)],[c_2840]) ).
tcf(c_56299,plain,
! [X0: $i] :
( is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(e,equivalent(b,f))),equivalent(a,equivalent(e,equivalent(c,f)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(X0,equivalent(c,f))),equivalent(e,X0)),equivalent(a,equivalent(e,equivalent(c,f)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(X0,equivalent(c,f))),equivalent(e,X0)),equivalent(equivalent(a,equivalent(b,c)),equivalent(e,equivalent(b,f))))) ),
inference(instantiation,[status(thm)],[c_50857]) ).
tcf(c_56300,plain,
! [X0: $i] : is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(X0,equivalent(c,f))),equivalent(e,X0)),equivalent(a,equivalent(e,equivalent(c,f))))),
inference(instantiation,[status(thm)],[c_20440]) ).
tcf(c_61633,plain,
( is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),equivalent(e,equivalent(b,f))),equivalent(a,equivalent(e,equivalent(c,f)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,f),equivalent(c,f))),equivalent(e,equivalent(b,f))),equivalent(a,equivalent(e,equivalent(c,f)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,f),equivalent(c,f))),equivalent(e,equivalent(b,f))),equivalent(equivalent(a,equivalent(b,c)),equivalent(e,equivalent(b,f))))) ),
inference(instantiation,[status(thm)],[c_56299]) ).
tcf(c_61634,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,f),equivalent(c,f))),equivalent(e,equivalent(b,f))),equivalent(equivalent(a,equivalent(b,c)),equivalent(e,equivalent(b,f)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,f),equivalent(c,f))),equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),equivalent(a,equivalent(b,c)))) ),
inference(instantiation,[status(thm)],[c_1279]) ).
tcf(c_62626,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(b,c),X1)),equivalent(a,equivalent(b,c))))
| ~ is_a_theorem(equivalent(a,X0)) ),
inference(instantiation,[status(thm)],[c_19893]) ).
tcf(c_93462,plain,
is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,f),equivalent(c,f))),equivalent(e,equivalent(b,f))),equivalent(a,equivalent(e,equivalent(c,f))))),
inference(instantiation,[status(thm)],[c_56300]) ).
tcf(c_174996,plain,
( is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,f),equivalent(c,f))),equivalent(e,equivalent(b,f))),equivalent(equivalent(a,equivalent(b,c)),equivalent(e,equivalent(b,f)))))
| ~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,f),equivalent(c,f))),equivalent(equivalent(b,c),equivalent(equivalent(b,f),equivalent(c,f)))),equivalent(a,equivalent(b,c)))) ),
inference(instantiation,[status(thm)],[c_61634]) ).
tcf(c_174997,plain,
( is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,f),equivalent(c,f))),equivalent(equivalent(b,c),equivalent(equivalent(b,f),equivalent(c,f)))),equivalent(a,equivalent(b,c))))
| ~ is_a_theorem(equivalent(a,a)) ),
inference(instantiation,[status(thm)],[c_62626]) ).
tcf(c_174999,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_174997,c_174996,c_93462,c_61633,c_5460,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL123-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n017.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Wed Sep 23 21:56:00 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 0.11/0.44
% 0.11/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.44
% 0.11/0.44 % Detected problem language: tptp
% 0.11/0.45 % Proving...
% 105.44/19.47 % SZS status Started for theBenchmark.p
% 105.44/19.47 % SZS status Unsatisfiable for theBenchmark.p
% 105.44/19.47
% 105.44/19.47 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 105.44/19.47
% 105.44/19.47 % ------ iProver source info
% 105.44/19.47
% 105.44/19.47 % git: date: 2026-07-19 20:42:38 +0200
% 105.44/19.47 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 105.44/19.47 % git: non_committed_changes: false
% 105.44/19.47
% 105.44/19.47 % ------ Parsing...% successful
% 105.44/19.47
% 105.44/19.47
% 105.44/19.47 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 105.44/19.47
% 105.44/19.47 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 105.44/19.47
% 105.44/19.47 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 105.44/19.47 % ------ Proving...
% 105.44/19.47 % ------ Problem Properties
% 105.44/19.47
% 105.44/19.47 %
% 105.44/19.47 % clauses 3
% 105.44/19.47 % conjectures 1
% 105.44/19.47 % EPR 0
% 105.44/19.47 % Horn 3
% 105.44/19.47 % unary 2
% 105.44/19.47 % binary 0
% 105.44/19.47 % lits 5
% 105.44/19.47 % lits eq 0
% 105.44/19.47 % fd_pure 0
% 105.44/19.47 % fd_pseudo 0
% 105.44/19.47 % fd_cond 0
% 105.44/19.47 % fd_pseudo_cond 0
% 105.44/19.47 % AC symbols 0
% 105.44/19.47
% 105.44/19.47 % ------ Schedule dynamic 5 is on
% 105.44/19.47
% 105.44/19.47 % ------ no equalities: superposition off
% 105.44/19.47
% 105.44/19.47 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 105.44/19.47
% 105.44/19.47
% 105.44/19.47 % ------
% 105.44/19.47 % Current options:
% 105.44/19.47 % ------
% 105.44/19.47
% 105.44/19.47
% 105.44/19.47 %
% 105.44/19.47
% 105.44/19.47 % ------ Proving...
% 105.44/19.47 % Proof_search_loop: time out after: 1427 full_loop iterations
% 105.44/19.47
% 105.44/19.47 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 105.44/19.47
% 105.44/19.47
% 105.44/19.47 % ------
% 105.44/19.47 % Current options:
% 105.44/19.47 % ------
% 105.44/19.47
% 105.44/19.47
% 105.44/19.47 %
% 105.44/19.47
% 105.44/19.47 % ------ Proving...
% 105.44/19.47 %
% 105.44/19.47
% 105.44/19.47 % SZS status Unsatisfiable for theBenchmark.p
% 105.44/19.47
% 105.44/19.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 105.44/19.47
% 105.44/19.47
%------------------------------------------------------------------------------