%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL086-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n018.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 02:05:36 PM UTC 2026
% Result : Unsatisfiable 1.97s 1.76s
% Output : CNFRefutation 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 4
% Syntax : Number of formulae : 89 ( 55 unt; 1 def)
% Number of atoms : 309 ( 1 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 83 ( 43 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 189 ( 0 sgn 189 !; 0 ?; 182 :)
% 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,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(X4,implies(implies(X3,X0),implies(X2,X0))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz_4) ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(a,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_1) ).
tcf(c_52,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_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(X4,implies(implies(X3,X0),implies(X2,X0))))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,negated_conjecture,
~ is_a_theorem(implies(a,a)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_66,definition,
iPr_def_10 = implies(a,a),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_67,negated_conjecture,
~ is_a_theorem(iPr_def_10),
inference(demodulation,[status(thm)],[c_54,c_66]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(iPr_def_10,implies(X0,X1)),implies(X2,implies(implies(X1,a),implies(X0,a))))),
inference(superposition,[status(thm)],[c_66,c_53]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),iPr_def_10),implies(X2,implies(implies(a,X0),implies(a,X0))))),
inference(superposition,[status(thm)],[c_66,c_53]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(a,X0),implies(a,X1)),implies(X2,implies(implies(X1,a),iPr_def_10)))),
inference(superposition,[status(thm)],[c_66,c_53]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,implies(implies(X3,X0),implies(X2,X0))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_158,plain,
! [X0: $i] : is_a_theorem(implies(implies(iPr_def_10,iPr_def_10),implies(X0,implies(iPr_def_10,iPr_def_10)))),
inference(superposition,[status(thm)],[c_66,c_146]) ).
tcf(c_161,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,implies(implies(X1,a),implies(X0,a))))
| ~ is_a_theorem(implies(iPr_def_10,implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_146,c_52]) ).
tcf(c_188,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(a,X0),iPr_def_10),implies(X1,implies(iPr_def_10,iPr_def_10)))),
inference(superposition,[status(thm)],[c_66,c_147]) ).
tcf(c_260,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,implies(implies(X1,a),iPr_def_10)))
| ~ is_a_theorem(implies(implies(a,X0),implies(a,X1))) ),
inference(superposition,[status(thm)],[c_149,c_52]) ).
tcf(c_278,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,a),implies(X0,a)))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(iPr_def_10,implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_161,c_52]) ).
tcf(c_320,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X1,a),implies(X0,a)))
| ~ is_a_theorem(implies(iPr_def_10,implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_188,c_278]) ).
tcf(c_384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))),
inference(superposition,[status(thm)],[c_53,c_150]) ).
tcf(c_385,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(implies(implies(X1,a),implies(X2,a)),iPr_def_10),implies(X3,iPr_def_10)))),
inference(superposition,[status(thm)],[c_146,c_150]) ).
tcf(c_388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(implies(implies(X1,a),iPr_def_10),implies(a,X2)),implies(X3,implies(a,X2))))),
inference(superposition,[status(thm)],[c_149,c_150]) ).
tcf(c_389,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(implies(iPr_def_10,iPr_def_10),iPr_def_10),implies(X1,iPr_def_10)))),
inference(superposition,[status(thm)],[c_158,c_150]) ).
tcf(c_395,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(implies(iPr_def_10,iPr_def_10),implies(a,X1)),implies(X2,implies(a,X1))))),
inference(superposition,[status(thm)],[c_188,c_150]) ).
tcf(c_397,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,implies(implies(a,X1),implies(X0,X1))))
| ~ is_a_theorem(implies(iPr_def_10,implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_320,c_150]) ).
tcf(c_453,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_384,c_52]) ).
tcf(c_481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))),
inference(superposition,[status(thm)],[c_384,c_453]) ).
tcf(c_483,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(implies(iPr_def_10,iPr_def_10),iPr_def_10),implies(X1,iPr_def_10)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_389,c_52]) ).
tcf(c_484,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,iPr_def_10),X2),implies(implies(implies(iPr_def_10,iPr_def_10),iPr_def_10),X2)))),
inference(superposition,[status(thm)],[c_389,c_150]) ).
tcf(c_525,plain,
! [X0: $i] : is_a_theorem(implies(implies(implies(iPr_def_10,iPr_def_10),iPr_def_10),implies(X0,iPr_def_10))),
inference(superposition,[status(thm)],[c_384,c_483]) ).
tcf(c_529,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(iPr_def_10,implies(iPr_def_10,iPr_def_10)),implies(X1,implies(iPr_def_10,iPr_def_10))))),
inference(superposition,[status(thm)],[c_525,c_150]) ).
tcf(c_583,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(iPr_def_10,implies(iPr_def_10,iPr_def_10)),implies(X1,implies(iPr_def_10,iPr_def_10))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_529,c_52]) ).
tcf(c_808,plain,
! [X0: $i] : is_a_theorem(implies(implies(iPr_def_10,implies(iPr_def_10,iPr_def_10)),implies(X0,implies(iPr_def_10,iPr_def_10)))),
inference(superposition,[status(thm)],[c_525,c_583]) ).
tcf(c_847,plain,
! [X0: $i] :
( is_a_theorem(implies(X0,implies(iPr_def_10,iPr_def_10)))
| ~ is_a_theorem(implies(iPr_def_10,implies(iPr_def_10,iPr_def_10))) ),
inference(superposition,[status(thm)],[c_808,c_52]) ).
tcf(c_908,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(implies(implies(X1,a),implies(X2,a)),iPr_def_10),implies(X3,iPr_def_10)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_385,c_52]) ).
tcf(c_947,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(implies(iPr_def_10,iPr_def_10),implies(a,X1)),implies(X2,implies(a,X1))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_395,c_52]) ).
tcf(c_990,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(implies(X1,iPr_def_10),X2),implies(implies(implies(iPr_def_10,iPr_def_10),iPr_def_10),X2)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_484,c_52]) ).
tcf(c_1009,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(a,X1),implies(X0,X1)))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(iPr_def_10,implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_397,c_52]) ).
tcf(c_1080,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(implies(X0,a),implies(X1,a)),iPr_def_10),implies(X2,iPr_def_10))),
inference(superposition,[status(thm)],[c_484,c_908]) ).
tcf(c_1123,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(iPr_def_10,iPr_def_10),implies(a,X0)),implies(X1,implies(a,X0)))),
inference(superposition,[status(thm)],[c_484,c_947]) ).
tcf(c_1158,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(X0,iPr_def_10),X1),implies(implies(implies(iPr_def_10,iPr_def_10),iPr_def_10),X1))),
inference(superposition,[status(thm)],[c_484,c_990]) ).
tcf(c_1195,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(a,X1),implies(X0,X1)))
| ~ is_a_theorem(implies(iPr_def_10,implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_484,c_1009]) ).
tcf(c_1217,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,implies(a,X0)))
| ~ is_a_theorem(implies(implies(iPr_def_10,iPr_def_10),implies(a,X0))) ),
inference(superposition,[status(thm)],[c_1123,c_52]) ).
tcf(c_1234,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(implies(iPr_def_10,iPr_def_10),iPr_def_10),X1))
| ~ is_a_theorem(implies(implies(X0,iPr_def_10),X1)) ),
inference(superposition,[status(thm)],[c_1158,c_52]) ).
tcf(c_1302,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(a,X1))
| ~ is_a_theorem(implies(iPr_def_10,implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_1195,c_52]) ).
tcf(c_1320,plain,
! [X0: $i] : is_a_theorem(implies(X0,implies(a,implies(iPr_def_10,iPr_def_10)))),
inference(superposition,[status(thm)],[c_158,c_1217]) ).
tcf(c_1325,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(implies(iPr_def_10,iPr_def_10),X1),implies(a,X1)))),
inference(superposition,[status(thm)],[c_1320,c_150]) ).
tcf(c_1329,plain,
! [X0: $i] : is_a_theorem(implies(X0,implies(implies(implies(iPr_def_10,iPr_def_10),a),iPr_def_10))),
inference(superposition,[status(thm)],[c_1320,c_260]) ).
tcf(c_1439,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(iPr_def_10,X1),implies(implies(implies(iPr_def_10,iPr_def_10),a),X1)))),
inference(superposition,[status(thm)],[c_1329,c_150]) ).
tcf(c_1484,plain,
! [X0: $i] : is_a_theorem(implies(implies(implies(iPr_def_10,iPr_def_10),iPr_def_10),implies(X0,implies(iPr_def_10,iPr_def_10)))),
inference(superposition,[status(thm)],[c_188,c_1234]) ).
tcf(c_1602,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(implies(iPr_def_10,iPr_def_10),X1),implies(a,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1325,c_52]) ).
tcf(c_1603,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(implies(a,X1),X2),implies(implies(implies(iPr_def_10,iPr_def_10),X1),X2)))),
inference(superposition,[status(thm)],[c_1325,c_150]) ).
tcf(c_1704,plain,
! [X0: $i] : is_a_theorem(implies(implies(implies(iPr_def_10,iPr_def_10),X0),implies(a,X0))),
inference(superposition,[status(thm)],[c_1080,c_1602]) ).
tcf(c_1713,plain,
! [X0: $i] :
( is_a_theorem(implies(a,X0))
| ~ is_a_theorem(implies(implies(iPr_def_10,iPr_def_10),X0)) ),
inference(superposition,[status(thm)],[c_1704,c_52]) ).
tcf(c_1722,plain,
! [X0: $i] : is_a_theorem(implies(a,implies(X0,implies(iPr_def_10,iPr_def_10)))),
inference(superposition,[status(thm)],[c_158,c_1713]) ).
tcf(c_1792,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(implies(iPr_def_10,iPr_def_10),implies(iPr_def_10,iPr_def_10)),implies(X1,implies(iPr_def_10,iPr_def_10))))),
inference(superposition,[status(thm)],[c_1484,c_150]) ).
tcf(c_1872,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(iPr_def_10,X1),implies(implies(implies(iPr_def_10,iPr_def_10),a),X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1439,c_52]) ).
tcf(c_2025,plain,
! [X0: $i] : is_a_theorem(implies(implies(iPr_def_10,X0),implies(implies(implies(iPr_def_10,iPr_def_10),a),X0))),
inference(superposition,[status(thm)],[c_1080,c_1872]) ).
tcf(c_2104,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(X1,iPr_def_10),implies(implies(implies(iPr_def_10,iPr_def_10),a),iPr_def_10)))),
inference(superposition,[status(thm)],[c_2025,c_150]) ).
tcf(c_2259,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(implies(implies(X1,a),iPr_def_10),implies(a,X2)),implies(X3,implies(a,X2))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_388,c_52]) ).
tcf(c_2383,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(implies(X0,a),iPr_def_10),implies(a,X1)),implies(X2,implies(a,X1)))),
inference(superposition,[status(thm)],[c_2104,c_2259]) ).
tcf(c_2420,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(implies(a,X1),X2),implies(implies(implies(iPr_def_10,iPr_def_10),X1),X2)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_1603,c_52]) ).
tcf(c_2451,plain,
! [X0: $i] :
( is_a_theorem(implies(implies(implies(iPr_def_10,iPr_def_10),implies(iPr_def_10,iPr_def_10)),implies(X0,implies(iPr_def_10,iPr_def_10))))
| ~ is_a_theorem(implies(a,implies(X0,implies(iPr_def_10,iPr_def_10)))) ),
inference(superposition,[status(thm)],[c_1792,c_1302]) ).
tcf(c_2462,plain,
! [X0: $i] : is_a_theorem(implies(implies(implies(iPr_def_10,iPr_def_10),implies(iPr_def_10,iPr_def_10)),implies(X0,implies(iPr_def_10,iPr_def_10)))),
inference(forward_subsumption_resolution,[status(thm)],[c_2451,c_1722]) ).
tcf(c_2578,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,implies(a,X1)))
| ~ is_a_theorem(implies(implies(implies(X0,a),iPr_def_10),implies(a,X1))) ),
inference(superposition,[status(thm)],[c_2383,c_52]) ).
tcf(c_2816,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(a,X0),X1),implies(implies(implies(iPr_def_10,iPr_def_10),X0),X1))),
inference(superposition,[status(thm)],[c_2462,c_2420]) ).
tcf(c_3985,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(implies(iPr_def_10,iPr_def_10),X0),X1))
| ~ is_a_theorem(implies(implies(a,X0),X1)) ),
inference(superposition,[status(thm)],[c_2816,c_52]) ).
tcf(c_4105,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(iPr_def_10,iPr_def_10),X0))
| ~ is_a_theorem(implies(implies(a,X0),X1)) ),
inference(superposition,[status(thm)],[c_3985,c_52]) ).
tcf(c_4227,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(a,implies(X0,implies(iPr_def_10,iPr_def_10))),X1)) ),
inference(superposition,[status(thm)],[c_158,c_4105]) ).
tcf(c_4263,plain,
! [X0: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(implies(a,implies(implies(implies(iPr_def_10,iPr_def_10),a),iPr_def_10)),X0)) ),
inference(superposition,[status(thm)],[c_2025,c_4105]) ).
tcf(c_6396,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,implies(X1,X3)))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3))) ),
inference(superposition,[status(thm)],[c_481,c_52]) ).
tcf(c_6668,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X1,X2))))),
inference(superposition,[status(thm)],[c_481,c_6396]) ).
tcf(c_6685,plain,
! [X0: $i] : is_a_theorem(implies(X0,implies(iPr_def_10,implies(a,iPr_def_10)))),
inference(superposition,[status(thm)],[c_2383,c_6396]) ).
tcf(c_6687,plain,
! [X0: $i] : is_a_theorem(implies(X0,implies(iPr_def_10,implies(iPr_def_10,iPr_def_10)))),
inference(superposition,[status(thm)],[c_2462,c_6396]) ).
tcf(c_6812,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(implies(a,iPr_def_10),X1),implies(iPr_def_10,X1)))),
inference(superposition,[status(thm)],[c_6685,c_150]) ).
tcf(c_6881,plain,
is_a_theorem(implies(iPr_def_10,implies(iPr_def_10,iPr_def_10))),
inference(superposition,[status(thm)],[c_6687,c_4263]) ).
tcf(c_6889,plain,
! [X0: $i] : is_a_theorem(implies(X0,implies(iPr_def_10,iPr_def_10))),
inference(backward_subsumption_resolution,[status(thm)],[c_847,c_6881]) ).
tcf(c_6900,plain,
! [X0: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(implies(a,implies(iPr_def_10,iPr_def_10)),X0)) ),
inference(superposition,[status(thm)],[c_6889,c_4105]) ).
tcf(c_9458,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_6668,c_4227]) ).
tcf(c_9519,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X2,X1)))),
inference(superposition,[status(thm)],[c_9458,c_150]) ).
tcf(c_9756,plain,
! [X0: $i] : is_a_theorem(implies(implies(implies(a,iPr_def_10),X0),implies(iPr_def_10,X0))),
inference(superposition,[status(thm)],[c_6812,c_4227]) ).
tcf(c_9782,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(iPr_def_10,implies(X1,iPr_def_10)))),
inference(superposition,[status(thm)],[c_9756,c_6396]) ).
tcf(c_9813,plain,
! [X0: $i] : is_a_theorem(implies(iPr_def_10,implies(X0,iPr_def_10))),
inference(superposition,[status(thm)],[c_9782,c_4227]) ).
tcf(c_9827,plain,
! [X0: $i] :
( is_a_theorem(implies(X0,iPr_def_10))
| ~ is_a_theorem(implies(a,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_9813,c_1302]) ).
tcf(c_11074,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X1,X0))),
inference(superposition,[status(thm)],[c_9519,c_6900]) ).
tcf(c_11098,plain,
! [X0: $i] : is_a_theorem(implies(X0,implies(a,iPr_def_10))),
inference(superposition,[status(thm)],[c_11074,c_2578]) ).
tcf(c_11131,plain,
is_a_theorem(implies(a,iPr_def_10)),
inference(superposition,[status(thm)],[c_11098,c_6900]) ).
tcf(c_11138,plain,
! [X0: $i] : is_a_theorem(implies(X0,iPr_def_10)),
inference(backward_subsumption_resolution,[status(thm)],[c_9827,c_11131]) ).
tcf(c_11156,plain,
is_a_theorem(iPr_def_10),
inference(superposition,[status(thm)],[c_11138,c_6900]) ).
tcf(c_11161,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_11156,c_67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL086-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n018.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Wed Sep 23 21:54:47 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 1.97/1.76 % SZS status Started for theBenchmark.p
% 1.97/1.76 % SZS status Unsatisfiable for theBenchmark.p
% 1.97/1.76
% 1.97/1.76 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.97/1.76
% 1.97/1.76 % ------ iProver source info
% 1.97/1.76
% 1.97/1.76 % git: date: 2026-07-19 20:42:38 +0200
% 1.97/1.76 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.97/1.76 % git: non_committed_changes: false
% 1.97/1.76
% 1.97/1.76 % ------ Parsing...% successful
% 1.97/1.76
% 1.97/1.76
% 1.97/1.76 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.97/1.76
% 1.97/1.76 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.97/1.76
% 1.97/1.76 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.97/1.76
% 1.97/1.76 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.97/1.76 % ------ Proving...
% 1.97/1.76 % ------ Problem Properties
% 1.97/1.76
% 1.97/1.76 %
% 1.97/1.76 % clauses 4
% 1.97/1.76 % conjectures 1
% 1.97/1.76 % EPR 1
% 1.97/1.76 % Horn 4
% 1.97/1.76 % unary 3
% 1.97/1.76 % binary 0
% 1.97/1.76 % lits 6
% 1.97/1.76 % lits eq 1
% 1.97/1.76 % fd_pure 0
% 1.97/1.76 % fd_pseudo 0
% 1.97/1.76 % fd_cond 0
% 1.97/1.76 % fd_pseudo_cond 0
% 1.97/1.76 % AC symbols 0
% 1.97/1.76
% 1.97/1.76 % ------ Schedule dynamic 5 is on
% 1.97/1.76
% 1.97/1.76 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.97/1.76
% 1.97/1.76
% 1.97/1.76 % ------
% 1.97/1.76 % Current options:
% 1.97/1.76 % ------
% 1.97/1.76
% 1.97/1.76
% 1.97/1.76 %
% 1.97/1.76
% 1.97/1.76 % ------ Proving...
% 1.97/1.76 %
% 1.97/1.76
% 1.97/1.76 % SZS status Unsatisfiable for theBenchmark.p
% 1.97/1.76
% 1.97/1.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.97/1.76
% 1.97/1.76
%------------------------------------------------------------------------------