%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL071-1 : 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 : 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 02:05:33 PM UTC 2026
% Result : Unsatisfiable 39.82s 9.39s
% Output : CNFRefutation 39.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 8
% Syntax : Number of formulae : 112 ( 49 unt; 3 def)
% Number of atoms : 375 ( 3 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 202 ( 109 ~; 93 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 207 ( 0 sgn 207 !; 0 ?; 195 :)
% 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(implies(X0,X1),X2),implies(X1,X2))),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cn_37) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X2)),implies(X0,implies(implies(X3,X2),implies(implies(X1,X3),X2))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_60) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(implies(not(a),a),a)),
file('/export/starexec/sandbox/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,X3: $i] : is_a_theorem(implies(implies(X0,implies(not(X1),X2)),implies(X0,implies(implies(X3,X2),implies(implies(X1,X3),X2))))),
inference(cnf_transformation,[],[f4]) ).
tcf(c_58,negated_conjecture,
~ is_a_theorem(implies(implies(not(a),a),a)),
inference(cnf_transformation,[],[f5]) ).
tcf(c_76,definition,
iPr_def_10 = not(a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_77,definition,
iPr_def_11 = implies(iPr_def_10,a),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_78,definition,
iPr_def_12 = implies(iPr_def_11,a),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_79,negated_conjecture,
~ is_a_theorem(iPr_def_12),
inference(demodulation,[status(thm)],[c_58,c_76,c_77,c_78]) ).
tcf(c_194,plain,
! [X0: $i] : is_a_theorem(implies(implies(iPr_def_11,X0),implies(a,X0))),
inference(superposition,[status(thm)],[c_77,c_55]) ).
tcf(c_195,plain,
! [X0: $i] : is_a_theorem(implies(implies(iPr_def_12,X0),implies(a,X0))),
inference(superposition,[status(thm)],[c_78,c_55]) ).
tcf(c_197,plain,
! [X0: $i] : is_a_theorem(implies(implies(implies(X0,iPr_def_11),a),iPr_def_12)),
inference(superposition,[status(thm)],[c_78,c_55]) ).
tcf(c_198,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_206,plain,
is_a_theorem(implies(iPr_def_12,implies(a,a))),
inference(superposition,[status(thm)],[c_78,c_194]) ).
tcf(c_211,plain,
! [X0: $i] :
( is_a_theorem(implies(a,X0))
| ~ is_a_theorem(implies(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_195,c_54]) ).
tcf(c_215,plain,
! [X0: $i] : is_a_theorem(implies(implies(iPr_def_11,X0),implies(not(iPr_def_10),X0))),
inference(superposition,[status(thm)],[c_77,c_56]) ).
tcf(c_216,plain,
! [X0: $i] : is_a_theorem(implies(implies(iPr_def_12,X0),implies(not(iPr_def_11),X0))),
inference(superposition,[status(thm)],[c_78,c_56]) ).
tcf(c_218,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_225,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,implies(iPr_def_10,X1)),implies(X0,implies(implies(X2,X1),implies(implies(a,X2),X1))))),
inference(superposition,[status(thm)],[c_76,c_57]) ).
tcf(c_228,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,implies(not(iPr_def_10),X1)),implies(X0,implies(implies(a,X1),implies(iPr_def_11,X1))))),
inference(superposition,[status(thm)],[c_77,c_57]) ).
tcf(c_230,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X0,implies(implies(X3,X2),implies(implies(X1,X3),X2))))
| ~ is_a_theorem(implies(X0,implies(not(X1),X2))) ),
inference(superposition,[status(thm)],[c_57,c_54]) ).
tcf(c_323,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_55,c_198]) ).
tcf(c_329,plain,
is_a_theorem(implies(a,iPr_def_12)),
inference(superposition,[status(thm)],[c_197,c_198]) ).
tcf(c_343,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_323,c_54]) ).
tcf(c_344,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(superposition,[status(thm)],[c_323,c_198]) ).
tcf(c_346,plain,
! [X0: $i] : is_a_theorem(implies(a,implies(X0,iPr_def_12))),
inference(superposition,[status(thm)],[c_323,c_211]) ).
tcf(c_420,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(a,implies(X0,implies(X1,iPr_def_12)))),
inference(superposition,[status(thm)],[c_344,c_211]) ).
tcf(c_454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(not(X0),implies(X0,implies(implies(X1,X2),implies(implies(X3,X1),X2))))),
inference(superposition,[status(thm)],[c_57,c_218]) ).
tcf(c_595,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(iPr_def_10,X0),implies(X1,implies(implies(X2,X0),implies(implies(a,X2),X0))))),
inference(superposition,[status(thm)],[c_225,c_198]) ).
tcf(c_1166,plain,
! [X0: $i] : is_a_theorem(implies(implies(X0,implies(not(iPr_def_10),a)),implies(X0,implies(implies(a,a),iPr_def_12)))),
inference(superposition,[status(thm)],[c_78,c_228]) ).
tcf(c_1167,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,implies(implies(a,X1),implies(iPr_def_11,X1))))
| ~ is_a_theorem(implies(X0,implies(not(iPr_def_10),X1))) ),
inference(superposition,[status(thm)],[c_228,c_54]) ).
tcf(c_1454,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X3,X2),implies(implies(X1,X3),X2)))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,implies(not(X1),X2))) ),
inference(superposition,[status(thm)],[c_230,c_54]) ).
tcf(c_2162,plain,
! [X0: $i] : is_a_theorem(implies(implies(not(iPr_def_10),a),implies(X0,implies(implies(a,a),iPr_def_12)))),
inference(superposition,[status(thm)],[c_1166,c_198]) ).
tcf(c_2799,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(implies(X2,X0),implies(implies(a,X2),X0))))
| ~ is_a_theorem(implies(iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_595,c_54]) ).
tcf(c_3488,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(a,X1),implies(iPr_def_11,X1)))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,implies(not(iPr_def_10),X1))) ),
inference(superposition,[status(thm)],[c_1167,c_54]) ).
tcf(c_4888,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X3,X2),implies(implies(X1,X3),X2)))
| ~ is_a_theorem(implies(implies(X0,not(X1)),X2)) ),
inference(superposition,[status(thm)],[c_55,c_1454]) ).
tcf(c_4889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X3,X2),implies(implies(X0,X3),X2)))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_56,c_1454]) ).
tcf(c_4893,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X1,X0),implies(implies(iPr_def_10,X1),X0)))
| ~ is_a_theorem(implies(iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_215,c_1454]) ).
tcf(c_4894,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X1,X0),implies(implies(iPr_def_11,X1),X0)))
| ~ is_a_theorem(implies(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_216,c_1454]) ).
tcf(c_4898,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X2,implies(implies(a,X1),implies(iPr_def_11,X1))),implies(implies(X0,X2),implies(implies(a,X1),implies(iPr_def_11,X1)))))
| ~ is_a_theorem(implies(not(X0),implies(not(iPr_def_10),X1))) ),
inference(superposition,[status(thm)],[c_228,c_1454]) ).
tcf(c_4917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X1,implies(implies(X2,X3),implies(implies(X4,X2),X3))),implies(implies(X0,X1),implies(implies(X2,X3),implies(implies(X4,X2),X3)))))
| ~ is_a_theorem(not(not(X0))) ),
inference(superposition,[status(thm)],[c_454,c_1454]) ).
tcf(c_15721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(implies(X3,X1),X0),implies(X1,X2)))),
inference(superposition,[status(thm)],[c_55,c_4889]) ).
tcf(c_15722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(X0,implies(not(X1),X2)),implies(implies(implies(X1,X3),X0),implies(not(X1),X2)))),
inference(superposition,[status(thm)],[c_56,c_4889]) ).
tcf(c_15723,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(X0,implies(X1,implies(implies(X2,X3),implies(implies(X4,X2),X3)))),implies(implies(X1,X0),implies(X1,implies(implies(X2,X3),implies(implies(X4,X2),X3)))))),
inference(superposition,[status(thm)],[c_57,c_4889]) ).
tcf(c_16007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(implies(X3,X1),X0),implies(X1,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(superposition,[status(thm)],[c_15721,c_54]) ).
tcf(c_19013,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(implies(X1,iPr_def_11),X0),iPr_def_12))
| ~ is_a_theorem(implies(X0,implies(iPr_def_11,a))) ),
inference(superposition,[status(thm)],[c_78,c_16007]) ).
tcf(c_19014,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_16007,c_54]) ).
tcf(c_19029,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(implies(X1,iPr_def_11),X0),iPr_def_12))
| ~ is_a_theorem(implies(X0,iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_19013,c_78]) ).
tcf(c_19068,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(iPr_def_12)
| ~ is_a_theorem(implies(X1,iPr_def_12))
| ~ is_a_theorem(implies(implies(X0,iPr_def_11),X1)) ),
inference(superposition,[status(thm)],[c_19029,c_54]) ).
tcf(c_19078,plain,
! [X0: $i,X1: $i] :
( ~ is_a_theorem(implies(X1,iPr_def_12))
| ~ is_a_theorem(implies(implies(X0,iPr_def_11),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19068,c_79]) ).
tcf(c_19184,plain,
! [X0: $i,X1: $i] :
( ~ is_a_theorem(implies(iPr_def_11,implies(X0,X1)))
| ~ is_a_theorem(implies(implies(X0,X1),iPr_def_12)) ),
inference(superposition,[status(thm)],[c_16007,c_19078]) ).
tcf(c_21246,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(implies(X2,X0),implies(X1,not(X2))))),
inference(superposition,[status(thm)],[c_55,c_4888]) ).
tcf(c_21620,plain,
! [X0: $i,X1: $i] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(implies(X0,X1),iPr_def_12)) ),
inference(superposition,[status(thm)],[c_343,c_19184]) ).
tcf(c_21703,plain,
( ~ is_a_theorem(implies(a,a))
| ~ is_a_theorem(implies(implies(a,a),iPr_def_12)) ),
inference(instantiation,[status(thm)],[c_21620]) ).
tcf(c_21790,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X2,X0),implies(X1,not(X2))))
| ~ is_a_theorem(implies(X0,implies(X1,not(X2)))) ),
inference(superposition,[status(thm)],[c_21246,c_54]) ).
tcf(c_21946,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(superposition,[status(thm)],[c_21790,c_54]) ).
tcf(c_22639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(implies(X1,X3),X0),implies(not(X1),X2)))
| ~ is_a_theorem(implies(X0,implies(not(X1),X2))) ),
inference(superposition,[status(thm)],[c_15722,c_54]) ).
tcf(c_22657,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_19014]) ).
tcf(c_22663,plain,
! [X0: $i] :
( is_a_theorem(implies(a,X0))
| ~ is_a_theorem(implies(iPr_def_12,implies(a,X0))) ),
inference(superposition,[status(thm)],[c_197,c_19014]) ).
tcf(c_23049,plain,
( is_a_theorem(implies(a,a))
| ~ is_a_theorem(implies(iPr_def_12,implies(a,a))) ),
inference(instantiation,[status(thm)],[c_22663]) ).
tcf(c_24366,plain,
! [X0: $i] : is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_55,c_22657]) ).
tcf(c_24533,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(superposition,[status(thm)],[c_24366,c_218]) ).
tcf(c_24953,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,not(X0)))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(superposition,[status(thm)],[c_24533,c_21946]) ).
tcf(c_25019,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(a,X1),implies(iPr_def_11,X1)))
| ~ is_a_theorem(implies(implies(iPr_def_10,X0),X1)) ),
inference(superposition,[status(thm)],[c_56,c_3488]) ).
tcf(c_25327,plain,
! [X0: $i] : is_a_theorem(implies(implies(a,implies(iPr_def_10,X0)),implies(iPr_def_11,implies(iPr_def_10,X0)))),
inference(superposition,[status(thm)],[c_24366,c_25019]) ).
tcf(c_26211,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(not(X1),X2))
| ~ is_a_theorem(implies(implies(X1,X3),X0))
| ~ is_a_theorem(implies(X0,implies(not(X1),X2))) ),
inference(superposition,[status(thm)],[c_22639,c_54]) ).
tcf(c_30313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(not(X0),X3))
| ~ is_a_theorem(implies(implies(X0,X1),implies(implies(X0,X2),X3))) ),
inference(superposition,[status(thm)],[c_56,c_26211]) ).
tcf(c_31145,plain,
is_a_theorem(implies(not(not(iPr_def_10)),implies(implies(a,a),iPr_def_12))),
inference(superposition,[status(thm)],[c_2162,c_30313]) ).
tcf(c_34310,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(a,implies(iPr_def_10,implies(implies(X0,X1),implies(implies(X2,X0),X1)))),implies(iPr_def_11,implies(iPr_def_10,implies(implies(X0,X1),implies(implies(X2,X0),X1)))))),
inference(superposition,[status(thm)],[c_77,c_15723]) ).
tcf(c_34621,plain,
! [X0: $i] : is_a_theorem(implies(implies(a,implies(iPr_def_10,implies(implies(a,X0),implies(iPr_def_11,X0)))),implies(iPr_def_11,implies(iPr_def_10,implies(implies(a,X0),implies(iPr_def_11,X0)))))),
inference(superposition,[status(thm)],[c_77,c_34310]) ).
tcf(c_34792,plain,
is_a_theorem(implies(implies(a,implies(iPr_def_10,implies(implies(a,a),iPr_def_12))),implies(iPr_def_11,implies(iPr_def_10,implies(implies(a,a),iPr_def_12))))),
inference(superposition,[status(thm)],[c_78,c_34621]) ).
tcf(c_35142,plain,
( is_a_theorem(implies(iPr_def_11,implies(iPr_def_10,implies(implies(a,a),iPr_def_12))))
| ~ is_a_theorem(implies(a,implies(iPr_def_10,implies(implies(a,a),iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_34792,c_54]) ).
tcf(c_35153,plain,
is_a_theorem(implies(iPr_def_11,implies(iPr_def_10,implies(implies(a,a),iPr_def_12)))),
inference(forward_subsumption_resolution,[status(thm)],[c_35142,c_420]) ).
tcf(c_42464,plain,
! [X0: $i] : is_a_theorem(implies(X0,not(not(X0)))),
inference(superposition,[status(thm)],[c_24366,c_24953]) ).
tcf(c_42676,plain,
! [X0: $i] :
( is_a_theorem(not(not(X0)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_42464,c_54]) ).
tcf(c_55826,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(iPr_def_10,X0),X1))
| ~ is_a_theorem(implies(iPr_def_11,X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_4893,c_54]) ).
tcf(c_55915,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(iPr_def_11,X1))
| ~ is_a_theorem(implies(iPr_def_10,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_55826,c_54]) ).
tcf(c_56468,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(not(X0),X2))
| ~ is_a_theorem(implies(iPr_def_11,implies(not(X0),X2)))
| ~ is_a_theorem(implies(iPr_def_10,implies(implies(X0,X1),X2))) ),
inference(superposition,[status(thm)],[c_56,c_55915]) ).
tcf(c_56734,plain,
( is_a_theorem(implies(implies(a,a),iPr_def_12))
| ~ is_a_theorem(implies(iPr_def_10,not(not(iPr_def_10))))
| ~ is_a_theorem(implies(iPr_def_11,implies(implies(a,a),iPr_def_12))) ),
inference(superposition,[status(thm)],[c_31145,c_55915]) ).
tcf(c_56963,plain,
( is_a_theorem(implies(implies(a,a),iPr_def_12))
| ~ is_a_theorem(implies(iPr_def_11,implies(implies(a,a),iPr_def_12))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56734,c_42464]) ).
tcf(c_59464,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(iPr_def_11,X0),X1))
| ~ is_a_theorem(implies(iPr_def_12,X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_4894,c_54]) ).
tcf(c_59562,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(iPr_def_12,X1))
| ~ is_a_theorem(implies(iPr_def_11,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_59464,c_54]) ).
tcf(c_60288,plain,
( is_a_theorem(implies(iPr_def_10,implies(implies(a,a),iPr_def_12)))
| ~ is_a_theorem(implies(iPr_def_11,iPr_def_11))
| ~ is_a_theorem(implies(iPr_def_12,implies(iPr_def_10,implies(implies(a,a),iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_35153,c_59562]) ).
tcf(c_60467,plain,
is_a_theorem(implies(iPr_def_10,implies(implies(a,a),iPr_def_12))),
inference(forward_subsumption_resolution,[status(thm)],[c_60288,c_24366,c_344]) ).
tcf(c_63873,plain,
( is_a_theorem(implies(not(a),iPr_def_12))
| ~ is_a_theorem(implies(iPr_def_11,implies(not(a),iPr_def_12))) ),
inference(superposition,[status(thm)],[c_60467,c_56468]) ).
tcf(c_63875,plain,
( is_a_theorem(implies(iPr_def_10,iPr_def_12))
| ~ is_a_theorem(implies(iPr_def_11,implies(iPr_def_10,iPr_def_12))) ),
inference(light_normalisation,[status(thm)],[c_63873,c_76]) ).
tcf(c_67313,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X2,X0),implies(implies(a,X1),implies(iPr_def_11,X1))))
| ~ is_a_theorem(implies(not(X2),implies(not(iPr_def_10),X1)))
| ~ is_a_theorem(implies(X0,implies(implies(a,X1),implies(iPr_def_11,X1)))) ),
inference(superposition,[status(thm)],[c_4898,c_54]) ).
tcf(c_67598,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X1,X0),implies(implies(a,a),iPr_def_12)))
| ~ is_a_theorem(implies(not(X1),implies(not(iPr_def_10),a)))
| ~ is_a_theorem(implies(X0,implies(implies(a,a),implies(iPr_def_11,a)))) ),
inference(superposition,[status(thm)],[c_78,c_67313]) ).
tcf(c_67637,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X0,X1),implies(implies(a,a),iPr_def_12)))
| ~ is_a_theorem(implies(X1,implies(implies(a,a),iPr_def_12)))
| ~ is_a_theorem(implies(not(X0),implies(not(iPr_def_10),a))) ),
inference(light_normalisation,[status(thm)],[c_67598,c_78]) ).
tcf(c_67852,plain,
! [X0: $i] :
( ~ is_a_theorem(implies(iPr_def_11,implies(implies(a,a),iPr_def_12)))
| ~ is_a_theorem(implies(implies(implies(a,a),iPr_def_12),iPr_def_12))
| ~ is_a_theorem(implies(not(X0),implies(not(iPr_def_10),a))) ),
inference(superposition,[status(thm)],[c_67637,c_19078]) ).
tcf(c_67938,plain,
~ is_a_theorem(implies(iPr_def_11,implies(implies(a,a),iPr_def_12))),
inference(global_subsumption_just,[status(thm)],[c_67852,c_206,c_21703,c_23049,c_56963]) ).
tcf(c_67941,plain,
~ is_a_theorem(implies(implies(a,a),iPr_def_12)),
inference(superposition,[status(thm)],[c_343,c_67938]) ).
tcf(c_90569,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X4,X0),implies(implies(X1,X2),implies(implies(X3,X1),X2))))
| ~ is_a_theorem(not(not(X4)))
| ~ is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X3,X1),X2)))) ),
inference(superposition,[status(thm)],[c_4917,c_54]) ).
tcf(c_90658,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X2,X0),implies(implies(a,X1),implies(iPr_def_11,X1))))
| ~ is_a_theorem(not(not(X2)))
| ~ is_a_theorem(implies(X0,implies(implies(a,X1),implies(implies(iPr_def_10,a),X1)))) ),
inference(superposition,[status(thm)],[c_77,c_90569]) ).
tcf(c_90717,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X2,X0),implies(implies(a,X1),implies(iPr_def_11,X1))))
| ~ is_a_theorem(not(not(X2)))
| ~ is_a_theorem(implies(X0,implies(implies(a,X1),implies(iPr_def_11,X1)))) ),
inference(light_normalisation,[status(thm)],[c_90658,c_77]) ).
tcf(c_91062,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X1,X0),implies(implies(a,a),iPr_def_12)))
| ~ is_a_theorem(not(not(X1)))
| ~ is_a_theorem(implies(X0,implies(implies(a,a),implies(iPr_def_11,a)))) ),
inference(superposition,[status(thm)],[c_78,c_90717]) ).
tcf(c_91105,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X1,X0),implies(implies(a,a),iPr_def_12)))
| ~ is_a_theorem(not(not(X1)))
| ~ is_a_theorem(implies(X0,implies(implies(a,a),iPr_def_12))) ),
inference(light_normalisation,[status(thm)],[c_91062,c_78]) ).
tcf(c_91238,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(a,a),iPr_def_12))
| ~ is_a_theorem(not(not(X1)))
| ~ is_a_theorem(implies(iPr_def_11,implies(X1,X0)))
| ~ is_a_theorem(implies(iPr_def_12,implies(implies(a,a),iPr_def_12)))
| ~ is_a_theorem(implies(X0,implies(implies(a,a),iPr_def_12))) ),
inference(superposition,[status(thm)],[c_91105,c_59562]) ).
tcf(c_91308,plain,
! [X0: $i,X1: $i] :
( ~ is_a_theorem(not(not(X1)))
| ~ is_a_theorem(implies(iPr_def_11,implies(X1,X0)))
| ~ is_a_theorem(implies(X0,implies(implies(a,a),iPr_def_12))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_91238,c_67941,c_323]) ).
tcf(c_91534,plain,
! [X0: $i] :
( ~ is_a_theorem(not(not(X0)))
| ~ is_a_theorem(implies(iPr_def_11,implies(X0,implies(implies(a,a),iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_24366,c_91308]) ).
tcf(c_97826,plain,
( ~ is_a_theorem(implies(iPr_def_10,iPr_def_12))
| ~ is_a_theorem(not(not(implies(a,iPr_def_12)))) ),
inference(superposition,[status(thm)],[c_2799,c_91534]) ).
tcf(c_102312,plain,
( ~ is_a_theorem(implies(iPr_def_10,iPr_def_12))
| ~ is_a_theorem(implies(a,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_42676,c_97826]) ).
tcf(c_102316,plain,
~ is_a_theorem(implies(iPr_def_10,iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_102312,c_329]) ).
tcf(c_102317,plain,
~ is_a_theorem(implies(iPr_def_11,implies(iPr_def_10,iPr_def_12))),
inference(backward_subsumption_resolution,[status(thm)],[c_63875,c_102316]) ).
tcf(c_134938,plain,
! [X0: $i] :
( is_a_theorem(implies(iPr_def_11,implies(iPr_def_10,X0)))
| ~ is_a_theorem(implies(a,implies(iPr_def_10,X0))) ),
inference(superposition,[status(thm)],[c_25327,c_54]) ).
tcf(c_135092,plain,
is_a_theorem(implies(iPr_def_11,implies(iPr_def_10,iPr_def_12))),
inference(superposition,[status(thm)],[c_346,c_134938]) ).
tcf(c_135125,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_135092,c_102317]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL071-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n017.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 21:44:32 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 39.82/9.39 % SZS status Started for theBenchmark.p
% 39.82/9.39 % SZS status Unsatisfiable for theBenchmark.p
% 39.82/9.39
% 39.82/9.39 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 39.82/9.39
% 39.82/9.39 % ------ iProver source info
% 39.82/9.39
% 39.82/9.39 % git: date: 2026-07-19 20:42:38 +0200
% 39.82/9.39 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 39.82/9.39 % git: non_committed_changes: false
% 39.82/9.39
% 39.82/9.39 % ------ Parsing...% successful
% 39.82/9.39
% 39.82/9.39
% 39.82/9.39 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 39.82/9.39
% 39.82/9.39 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 39.82/9.39
% 39.82/9.39 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 39.82/9.39
% 39.82/9.39 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 39.82/9.39 % ------ Proving...
% 39.82/9.39 % ------ Problem Properties
% 39.82/9.39
% 39.82/9.39 %
% 39.82/9.39 % clauses 8
% 39.82/9.39 % conjectures 1
% 39.82/9.39 % EPR 1
% 39.82/9.39 % Horn 8
% 39.82/9.39 % unary 7
% 39.82/9.39 % binary 0
% 39.82/9.39 % lits 10
% 39.82/9.39 % lits eq 3
% 39.82/9.39 % fd_pure 0
% 39.82/9.39 % fd_pseudo 0
% 39.82/9.39 % fd_cond 0
% 39.82/9.39 % fd_pseudo_cond 0
% 39.82/9.39 % AC symbols 0
% 39.82/9.39
% 39.82/9.39 % ------ Schedule dynamic 5 is on
% 39.82/9.39
% 39.82/9.39 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 39.82/9.39
% 39.82/9.39
% 39.82/9.39 % ------
% 39.82/9.39 % Current options:
% 39.82/9.39 % ------
% 39.82/9.39
% 39.82/9.39
% 39.82/9.39 %
% 39.82/9.39
% 39.82/9.39 % ------ Proving...
% 39.82/9.39 %
% 39.82/9.39
% 39.82/9.39 % SZS status Unsatisfiable for theBenchmark.p
% 39.82/9.39
% 39.82/9.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 39.82/9.40
% 39.82/9.40
%------------------------------------------------------------------------------