%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL068-1 : TPTP v9.3.1. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n002.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 02:05:33 PM UTC 2026
% Result : Unsatisfiable 62.94s 17.18s
% Output : CNFRefutation 62.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 5
% Syntax : Number of formulae : 150 ( 62 unt; 0 def)
% Number of atoms : 286 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 277 ( 141 ~; 136 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 370 ( 0 sgn 370 !; 0 ?; 359 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_19) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_37) ).
fof(f4,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X2,X1),implies(implies(X0,X2),X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_59) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(not(a),a),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_2) ).
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(implies(X0,X1),X2),implies(X1,X2))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(cnf_transformation,[],[f3]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X2,X1),implies(implies(X0,X2),X1)))),
inference(cnf_transformation,[],[f4]) ).
tcf(c_58,negated_conjecture,
~ is_a_theorem(implies(implies(not(a),a),a)),
inference(cnf_transformation,[],[f5]) ).
tcf(c_59,plain,
is_a_theorem(implies(implies(implies(a,a),a),implies(a,a))),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(X3)
| ~ is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))
| ~ is_a_theorem(implies(implies(implies(implies(X0,X1),X2),implies(X1,X2)),X3)) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,implies(X1,X2)))
| ~ is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2)))
| ~ is_a_theorem(implies(implies(implies(implies(X0,X1),X2),implies(X1,X2)),implies(X2,implies(X1,X2)))) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),implies(X1,X2)),implies(X2,implies(X1,X2)))),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_84,plain,
( is_a_theorem(implies(a,implies(a,a)))
| ~ is_a_theorem(implies(implies(implies(a,a),a),implies(a,a)))
| ~ is_a_theorem(implies(implies(implies(implies(a,a),a),implies(a,a)),implies(a,implies(a,a)))) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_85,plain,
is_a_theorem(implies(implies(implies(implies(a,a),a),implies(a,a)),implies(a,implies(a,a)))),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_90,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_55,c_54]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(not(X0),X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_56,c_54]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_55,c_90]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(superposition,[status(thm)],[c_96,c_90]) ).
tcf(c_102,plain,
is_a_theorem(implies(a,implies(a,implies(a,a)))),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X2,X0)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_100,c_54]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_134,c_54]) ).
tcf(c_138,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_55,c_54]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_55,c_137]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[c_54,c_55]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(not(X0),X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[c_56,c_54]) ).
tcf(c_162,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X2,X1),implies(implies(X0,X2),X1)))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_57,c_54]) ).
tcf(c_205,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X0))))),
inference(superposition,[status(thm)],[c_100,c_138]) ).
tcf(c_212,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[status(thm)],[c_151,c_55]) ).
tcf(c_220,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(not(implies(X0,X1)),implies(X1,X2))),
inference(superposition,[status(thm)],[c_55,c_92]) ).
tcf(c_221,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(not(implies(X0,X1)),implies(not(X0),X2))),
inference(superposition,[status(thm)],[c_56,c_92]) ).
tcf(c_222,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(not(not(X0)),implies(implies(X1,X2),implies(implies(X0,X1),X2)))),
inference(superposition,[status(thm)],[c_57,c_92]) ).
tcf(c_224,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(not(X1),X0))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_142,c_92]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(not(X0),implies(X1,implies(X2,implies(X0,X3))))),
inference(superposition,[status(thm)],[c_100,c_92]) ).
tcf(c_283,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_55,c_54]) ).
tcf(c_347,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X0)))))),
inference(superposition,[status(thm)],[c_205,c_283]) ).
tcf(c_418,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X2,X1),implies(implies(X0,X2),X1)))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[c_57,c_54]) ).
tcf(c_432,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(not(implies(X0,X1)),implies(X1,X2))),
inference(resolution,[status(thm)],[c_159,c_55]) ).
tcf(c_435,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2)))),
inference(resolution,[status(thm)],[c_159,c_212]) ).
tcf(c_453,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(implies(X0,X1),X2)))
| ~ is_a_theorem(not(not(X0))) ),
inference(superposition,[status(thm)],[c_222,c_54]) ).
tcf(c_459,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X0,X2),X1))
| ~ is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_162,c_54]) ).
tcf(c_462,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(not(X2),implies(implies(X0,X2),X1)))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_162,c_92]) ).
tcf(c_617,plain,
( ~ is_a_theorem(implies(a,a))
| ~ is_a_theorem(implies(not(not(a)),a)) ),
inference(superposition,[status(thm)],[c_459,c_58]) ).
tcf(c_651,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X0,X2),X1))
| ~ is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[c_418,c_54]) ).
tcf(c_1011,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[c_651,c_54]) ).
tcf(c_1126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,X3))
| ~ is_a_theorem(implies(X2,implies(X1,X3)))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[c_1011,c_432]) ).
tcf(c_1128,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,not(X2)))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,implies(X1,not(X2)))) ),
inference(resolution,[status(thm)],[c_1011,c_212]) ).
tcf(c_1139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(X2,X3)))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,implies(X1,implies(X2,X3)))) ),
inference(resolution,[status(thm)],[c_1011,c_435]) ).
tcf(c_1699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X1,X4))
| ~ is_a_theorem(implies(X3,implies(X1,X4)))
| ~ is_a_theorem(implies(not(X2),implies(X1,X4)))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(resolution,[status(thm)],[c_1126,c_651]) ).
tcf(c_1700,plain,
( is_a_theorem(implies(a,a))
| ~ is_a_theorem(implies(a,implies(a,a)))
| ~ is_a_theorem(implies(not(a),implies(a,a)))
| ~ is_a_theorem(implies(implies(a,a),implies(a,a))) ),
inference(instantiation,[status(thm)],[c_1699]) ).
tcf(c_2796,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,implies(X0,X1)))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) ),
inference(resolution,[status(thm)],[c_1139,c_212]) ).
tcf(c_2802,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X3,X1),implies(X0,X2)))
| ~ is_a_theorem(implies(not(X3),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,implies(X0,X2)))) ),
inference(resolution,[status(thm)],[c_1139,c_418]) ).
tcf(c_2803,plain,
( is_a_theorem(implies(implies(a,a),implies(a,a)))
| ~ is_a_theorem(implies(not(a),implies(a,a)))
| ~ is_a_theorem(implies(a,implies(a,implies(a,a)))) ),
inference(instantiation,[status(thm)],[c_2802]) ).
tcf(c_4309,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(resolution,[status(thm)],[c_2796,c_212]) ).
tcf(c_4570,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_4309,c_54]) ).
tcf(c_4572,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(X0),implies(X1,X1))),
inference(resolution,[status(thm)],[c_4309,c_159]) ).
tcf(c_4574,plain,
is_a_theorem(implies(not(a),implies(a,a))),
inference(instantiation,[status(thm)],[c_4572]) ).
tcf(c_4720,plain,
! [X0: $i] : is_a_theorem(implies(X0,X0)),
inference(resolution,[status(thm)],[c_4570,c_55]) ).
tcf(c_4767,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[status(thm)],[c_4720,c_159]) ).
tcf(c_4816,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,not(X0)))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[c_4767,c_1128]) ).
tcf(c_9778,plain,
! [X0: $i] : is_a_theorem(implies(X0,not(not(X0)))),
inference(resolution,[status(thm)],[c_4816,c_4720]) ).
tcf(c_9792,plain,
! [X0: $i] :
( is_a_theorem(not(not(X0)))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_9778,c_54]) ).
tcf(c_16188,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_459,c_54]) ).
tcf(c_16712,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,X3))
| ~ is_a_theorem(implies(X2,implies(X1,X3)))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_220,c_16188]) ).
tcf(c_18575,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X1,X2))) ),
inference(superposition,[status(thm)],[c_55,c_16712]) ).
tcf(c_18631,plain,
! [X0: $i] : is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_55,c_18575]) ).
tcf(c_18700,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(superposition,[status(thm)],[c_18631,c_92]) ).
tcf(c_18730,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(superposition,[status(thm)],[c_18700,c_16188]) ).
tcf(c_20493,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_18631,c_18730]) ).
tcf(c_20495,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,not(X0))) ),
inference(superposition,[status(thm)],[c_18700,c_18730]) ).
tcf(c_21597,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(not(not(X0))) ),
inference(superposition,[status(thm)],[c_224,c_20495]) ).
tcf(c_21794,plain,
! [X0: $i] :
( is_a_theorem(implies(implies(X0,X0),X0))
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(superposition,[status(thm)],[c_162,c_20493]) ).
tcf(c_24412,plain,
! [X0: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X0))
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(superposition,[status(thm)],[c_21794,c_54]) ).
tcf(c_24442,plain,
! [X0: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24412,c_18631]) ).
tcf(c_33729,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_55,c_54]) ).
tcf(c_33775,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_55,c_33729]) ).
tcf(c_33834,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X2,X0),X1))
| ~ is_a_theorem(not(not(X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_453,c_54]) ).
tcf(c_33858,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X0,X2),X1))
| ~ is_a_theorem(not(X2))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_462,c_54]) ).
tcf(c_33883,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(not(not(X2)))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_33834,c_54]) ).
tcf(c_33893,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(not(X2))
| ~ is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_33858,c_54]) ).
tcf(c_33952,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_459,c_54]) ).
tcf(c_33995,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X2,X3))
| ~ is_a_theorem(not(not(X0)))
| ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X3))) ),
inference(superposition,[status(thm)],[c_55,c_33883]) ).
tcf(c_34098,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(not(X0),X3))
| ~ is_a_theorem(not(X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_221,c_33893]) ).
tcf(c_34587,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,X3))
| ~ is_a_theorem(implies(X2,implies(X1,X3)))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_220,c_33952]) ).
tcf(c_34725,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(not(not(X0))) ),
inference(superposition,[status(thm)],[c_33775,c_33995]) ).
tcf(c_36260,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X1,X2))) ),
inference(superposition,[status(thm)],[c_55,c_34587]) ).
tcf(c_36315,plain,
! [X0: $i] : is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_55,c_36260]) ).
tcf(c_36323,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(not(not(X2)))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_33834,c_36260]) ).
tcf(c_36384,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(not(X1))
| ~ is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(superposition,[status(thm)],[c_36315,c_33952]) ).
tcf(c_36754,plain,
! [X0: $i] :
( is_a_theorem(not(X0))
| ~ is_a_theorem(implies(X0,not(X0))) ),
inference(superposition,[status(thm)],[c_36315,c_36384]) ).
tcf(c_37047,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) ),
inference(global_subsumption_just,[status(thm)],[c_36323,c_20493]) ).
tcf(c_37052,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X0,not(X0)),X1))),
inference(superposition,[status(thm)],[c_57,c_37047]) ).
tcf(c_37060,plain,
! [X0: $i] :
( is_a_theorem(implies(implies(X0,X0),X0))
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(superposition,[status(thm)],[c_162,c_37047]) ).
tcf(c_37121,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X0,not(X0)),X1))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_37052,c_54]) ).
tcf(c_37185,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(not(X0))
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(superposition,[status(thm)],[c_37060,c_34098]) ).
tcf(c_37303,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,not(X0)))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_37121,c_54]) ).
tcf(c_37510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(X0,X3))))
| ~ is_a_theorem(implies(X0,not(X0))) ),
inference(superposition,[status(thm)],[c_225,c_37303]) ).
tcf(c_38228,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(global_subsumption_just,[status(thm)],[c_37185,c_9792,c_21597,c_24442]) ).
tcf(c_38233,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(implies(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_220,c_38228]) ).
tcf(c_38380,plain,
! [X0: $i] : is_a_theorem(not(not(implies(X0,X0)))),
inference(superposition,[status(thm)],[c_38233,c_36754]) ).
tcf(c_38413,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_38380,c_34725]) ).
tcf(c_38453,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X0,X0),implies(X1,X2))) ),
inference(superposition,[status(thm)],[c_38413,c_34587]) ).
tcf(c_40078,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_100,c_38453]) ).
tcf(c_40227,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(not(implies(X0,implies(X1,X1))),X2)),
inference(superposition,[status(thm)],[c_40078,c_38228]) ).
tcf(c_40267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(not(implies(X2,implies(X3,X3))),X4)))),
inference(superposition,[status(thm)],[c_40227,c_37510]) ).
tcf(c_76781,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_55,c_54]) ).
tcf(c_76784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X1,implies(not(implies(X2,implies(X3,X3))),X4)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_40267,c_54]) ).
tcf(c_76825,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_55,c_76781]) ).
tcf(c_76868,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(not(X0),implies(X1,implies(X2,implies(X3,implies(X4,implies(X0,X5))))))),
inference(superposition,[status(thm)],[c_347,c_92]) ).
tcf(c_76909,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(not(implies(X1,implies(X2,X2))),X3))),
inference(superposition,[status(thm)],[c_40267,c_76784]) ).
tcf(c_76910,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(not(implies(X1,implies(X2,X2))),X3))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_76909,c_54]) ).
tcf(c_76939,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(not(implies(X0,implies(X1,X1))),X2)),
inference(superposition,[status(thm)],[c_76868,c_76910]) ).
tcf(c_76958,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X2,X0),X1))
| ~ is_a_theorem(not(not(X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_453,c_54]) ).
tcf(c_77005,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(not(not(X2)))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_76958,c_54]) ).
tcf(c_77065,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_459,c_54]) ).
tcf(c_77067,plain,
( ~ is_a_theorem(implies(a,a))
| ~ is_a_theorem(implies(not(not(a)),a)) ),
inference(superposition,[status(thm)],[c_459,c_58]) ).
tcf(c_77070,plain,
~ is_a_theorem(implies(not(not(a)),a)),
inference(global_subsumption_just,[status(thm)],[c_77067,c_59,c_84,c_85,c_102,c_617,c_1700,c_2803,c_4574]) ).
tcf(c_77110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X3,X2),implies(implies(X1,X3),X2)))
| ~ is_a_theorem(not(not(X0)))
| ~ is_a_theorem(implies(X0,implies(not(X1),X2))) ),
inference(superposition,[status(thm)],[c_57,c_77005]) ).
tcf(c_77113,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(not(not(X0)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_76825,c_77005]) ).
tcf(c_77229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X3,implies(X1,X2)))
| ~ is_a_theorem(not(not(implies(implies(X0,X1),X2)))) ),
inference(superposition,[status(thm)],[c_55,c_77113]) ).
tcf(c_77230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X3,implies(not(X0),X2)))
| ~ is_a_theorem(not(not(implies(implies(X0,X1),X2)))) ),
inference(superposition,[status(thm)],[c_56,c_77113]) ).
tcf(c_77579,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(X3)
| ~ is_a_theorem(implies(X2,X3))
| ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2)) ),
inference(superposition,[status(thm)],[c_76939,c_77065]) ).
tcf(c_78243,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X3,X2),implies(implies(X0,X3),X2)))
| ~ is_a_theorem(not(not(implies(implies(X0,X1),X2)))) ),
inference(superposition,[status(thm)],[c_56,c_77110]) ).
tcf(c_78633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(X3)
| ~ is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X2))),X3)) ),
inference(superposition,[status(thm)],[c_76825,c_77579]) ).
tcf(c_78685,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_55,c_78633]) ).
tcf(c_78810,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_78685,c_78633]) ).
tcf(c_78839,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_78810,c_77579]) ).
tcf(c_78841,plain,
! [X0: $i] : is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_78810,c_78633]) ).
tcf(c_78854,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(superposition,[status(thm)],[c_78841,c_92]) ).
tcf(c_78897,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,not(X1)),implies(implies(X1,X0),not(X1)))),
inference(superposition,[status(thm)],[c_57,c_78839]) ).
tcf(c_78905,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_162,c_78839]) ).
tcf(c_78915,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_459,c_78839]) ).
tcf(c_79036,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(X0),implies(implies(X1,X0),not(X1)))),
inference(superposition,[status(thm)],[c_78897,c_92]) ).
tcf(c_79856,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,not(X0)))
| ~ is_a_theorem(implies(X0,implies(X1,not(X0)))) ),
inference(superposition,[status(thm)],[c_76825,c_78915]) ).
tcf(c_80721,plain,
! [X0: $i] : is_a_theorem(implies(X0,not(not(X0)))),
inference(superposition,[status(thm)],[c_78854,c_79856]) ).
tcf(c_80730,plain,
! [X0: $i] : is_a_theorem(implies(implies(not(X0),X0),not(not(X0)))),
inference(superposition,[status(thm)],[c_79036,c_79856]) ).
tcf(c_80762,plain,
! [X0: $i] : is_a_theorem(not(not(implies(X0,X0)))),
inference(superposition,[status(thm)],[c_80721,c_78839]) ).
tcf(c_80784,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(not(X1),implies(X1,X2)))),
inference(superposition,[status(thm)],[c_80762,c_77230]) ).
tcf(c_80785,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(superposition,[status(thm)],[c_80762,c_77229]) ).
tcf(c_80902,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2)) ),
inference(superposition,[status(thm)],[c_80785,c_77579]) ).
tcf(c_80964,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(not(X0),implies(X0,X1)),X2)) ),
inference(superposition,[status(thm)],[c_80784,c_77579]) ).
tcf(c_81121,plain,
! [X0: $i] :
( is_a_theorem(not(not(X0)))
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(superposition,[status(thm)],[c_80730,c_54]) ).
tcf(c_81310,plain,
! [X0: $i,X1: $i] : is_a_theorem(not(not(implies(X0,implies(X1,X0))))),
inference(superposition,[status(thm)],[c_80785,c_81121]) ).
tcf(c_81440,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X3))),implies(implies(X2,X0),implies(X1,implies(X2,X3))))),
inference(superposition,[status(thm)],[c_81310,c_78243]) ).
tcf(c_82125,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(not(X0),implies(X1,X0))) ),
inference(superposition,[status(thm)],[c_78905,c_80902]) ).
tcf(c_84711,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_81440,c_80964]) ).
tcf(c_85833,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(superposition,[status(thm)],[c_84711,c_78839]) ).
tcf(c_88793,plain,
! [X0: $i] : is_a_theorem(implies(not(not(X0)),X0)),
inference(superposition,[status(thm)],[c_85833,c_82125]) ).
tcf(c_88839,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_77070,c_88793]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL068-1 : TPTP v9.3.1. Bugfixed v1.2.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Wed Sep 23 21:51:05 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 62.94/17.18 % SZS status Started for theBenchmark.p
% 62.94/17.18 % SZS status Unsatisfiable for theBenchmark.p
% 62.94/17.18
% 62.94/17.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 62.94/17.18
% 62.94/17.18 % ------ iProver source info
% 62.94/17.18
% 62.94/17.18 % git: date: 2026-07-19 20:42:38 +0200
% 62.94/17.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 62.94/17.18 % git: non_committed_changes: false
% 62.94/17.18
% 62.94/17.18 % ------ Parsing...% successful
% 62.94/17.18
% 62.94/17.18
% 62.94/17.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 62.94/17.18
% 62.94/17.18 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 62.94/17.18
% 62.94/17.18 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 62.94/17.18 % ------ Proving...
% 62.94/17.18 % ------ Problem Properties
% 62.94/17.18
% 62.94/17.18 %
% 62.94/17.18 % clauses 5
% 62.94/17.18 % conjectures 1
% 62.94/17.18 % EPR 0
% 62.94/17.18 % Horn 5
% 62.94/17.18 % unary 4
% 62.94/17.18 % binary 0
% 62.94/17.18 % lits 7
% 62.94/17.18 % lits eq 0
% 62.94/17.18 % fd_pure 0
% 62.94/17.18 % fd_pseudo 0
% 62.94/17.18 % fd_cond 0
% 62.94/17.18 % fd_pseudo_cond 0
% 62.94/17.18 % AC symbols 0
% 62.94/17.18
% 62.94/17.18 % ------ Input Options Time Limit: Unbounded
% 62.94/17.18
% 62.94/17.18
% 62.94/17.18 % ------
% 62.94/17.18 % Current options:
% 62.94/17.18 % ------
% 62.94/17.18
% 62.94/17.18
% 62.94/17.18 %
% 62.94/17.18
% 62.94/17.18 % ------ Proving...
% 62.94/17.18 %
% 62.94/17.18
% 62.94/17.18 % SZS status Unsatisfiable for theBenchmark.p
% 62.94/17.18
% 62.94/17.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 62.94/17.19
% 62.94/17.19
%------------------------------------------------------------------------------