%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL400-1 : TPTP v9.3.1. Released 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 02:06:32 PM UTC 2026
% Result : Unsatisfiable 109.42s 28.91s
% Output : CNFRefutation 109.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 63
% Number of leaves : 5
% Syntax : Number of formulae : 151 ( 74 unt; 0 def)
% Number of atoms : 241 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 182 ( 92 ~; 90 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 466 ( 0 sgn 466 !; 0 ?; 458 :)
% 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(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
fof(f3,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
fof(f4,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
fof(f5,negated_conjecture,
~ is_a_theorem(implies(not(implies(x,y)),x)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_66) ).
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(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_56,plain,
! [X0: $i] : is_a_theorem(implies(implies(not(X0),X0),X0)),
inference(cnf_transformation,[],[f3]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(cnf_transformation,[],[f4]) ).
tcf(c_58,negated_conjecture,
~ is_a_theorem(implies(not(implies(x,y)),x)),
inference(cnf_transformation,[],[f5]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_112,c_54]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_158,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X2,X0),X3))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)) ),
inference(superposition,[status(thm)],[c_55,c_116]) ).
tcf(c_159,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(not(X0),X0),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_56,c_116]) ).
tcf(c_160,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_57,c_116]) ).
tcf(c_208,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(superposition,[status(thm)],[c_159,c_54]) ).
tcf(c_214,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_55,c_160]) ).
tcf(c_215,plain,
! [X0: $i] : is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_56,c_160]) ).
tcf(c_216,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(not(implies(not(X0),X1)),X2))),
inference(superposition,[status(thm)],[c_57,c_160]) ).
tcf(c_217,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X0,X2)))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(superposition,[status(thm)],[c_143,c_160]) ).
tcf(c_429,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(not(X0),X0),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_56,c_116]) ).
tcf(c_430,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_57,c_116]) ).
tcf(c_433,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X2,X3))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(not(X2),X1)),X3)) ),
inference(superposition,[status(thm)],[c_214,c_116]) ).
tcf(c_498,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(not(X0),X2)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_214,c_54]) ).
tcf(c_529,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(not(X0),X2)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_498,c_430]) ).
tcf(c_630,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_529,c_116]) ).
tcf(c_3569,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_3827,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_429,c_630]) ).
tcf(c_3934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X3,implies(X0,X2)))
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_3569,c_3827]) ).
tcf(c_3935,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(superposition,[status(thm)],[c_429,c_3827]) ).
tcf(c_4257,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X3,implies(X0,X2)))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(superposition,[status(thm)],[c_57,c_3934]) ).
tcf(c_4316,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_56,c_4257]) ).
tcf(c_4348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X2,implies(X3,X1)))
| ~ is_a_theorem(implies(implies(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_4316,c_3934]) ).
tcf(c_4358,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_4316,c_4257]) ).
tcf(c_4722,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X3,X2))
| ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2)) ),
inference(superposition,[status(thm)],[c_4358,c_3935]) ).
tcf(c_4724,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2)) ),
inference(superposition,[status(thm)],[c_4358,c_208]) ).
tcf(c_5270,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_55,c_4724]) ).
tcf(c_5496,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_5270,c_158]) ).
tcf(c_5500,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_5270,c_433]) ).
tcf(c_5518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(not(implies(X3,X3)),X4))))),
inference(superposition,[status(thm)],[c_5500,c_4348]) ).
tcf(c_5537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(not(X1),X3))))),
inference(superposition,[status(thm)],[c_5496,c_4257]) ).
tcf(c_5803,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(not(X2),X4)))))),
inference(superposition,[status(thm)],[c_5537,c_4348]) ).
tcf(c_6465,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(not(implies(not(implies(X1,implies(X2,X2))),X3)),X4))),
inference(superposition,[status(thm)],[c_216,c_4722]) ).
tcf(c_17390,plain,
! [X0: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(superposition,[status(thm)],[c_56,c_54]) ).
tcf(c_17393,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_17470,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(X4)
| ~ is_a_theorem(implies(implies(X0,implies(X1,implies(not(implies(X2,X2)),X3))),X4)) ),
inference(superposition,[status(thm)],[c_5518,c_208]) ).
tcf(c_17475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(X0,implies(not(implies(X1,X1)),X2)),X3),implies(X4,X3))),
inference(superposition,[status(thm)],[c_55,c_17470]) ).
tcf(c_17476,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))),
inference(superposition,[status(thm)],[c_56,c_17470]) ).
tcf(c_17489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,X3))
| ~ is_a_theorem(implies(implies(X0,implies(not(implies(X1,X1)),X2)),X3)) ),
inference(superposition,[status(thm)],[c_17475,c_54]) ).
tcf(c_17493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(implies(implies(not(implies(X1,X1)),X2),X3),implies(X4,X3)))),
inference(superposition,[status(thm)],[c_55,c_17489]) ).
tcf(c_17508,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(not(implies(X0,X0)),X1),X2)) ),
inference(superposition,[status(thm)],[c_17476,c_208]) ).
tcf(c_17512,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(implies(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_17476,c_17470]) ).
tcf(c_17514,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_17512,c_208]) ).
tcf(c_17525,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,not(implies(X1,X1)))) ),
inference(superposition,[status(thm)],[c_217,c_17514]) ).
tcf(c_17562,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(not(not(implies(X0,X0))),not(implies(X0,X0))),X1)),
inference(superposition,[status(thm)],[c_56,c_17525]) ).
tcf(c_17692,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(not(X1),X3))))),
inference(superposition,[status(thm)],[c_5803,c_17470]) ).
tcf(c_17696,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(X3)
| ~ is_a_theorem(implies(implies(X0,implies(X1,implies(not(X0),X2))),X3)) ),
inference(superposition,[status(thm)],[c_17692,c_208]) ).
tcf(c_17703,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_17692,c_17470]) ).
tcf(c_17710,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(not(implies(not(implies(X1,X1)),X2)),X3))),
inference(superposition,[status(thm)],[c_17703,c_17508]) ).
tcf(c_17725,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(X3)
| ~ is_a_theorem(implies(implies(not(implies(not(implies(X0,X0)),X1)),X2),X3)) ),
inference(superposition,[status(thm)],[c_17710,c_208]) ).
tcf(c_17770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(not(implies(X0,X0)),X1),X2),implies(X3,X2))),
inference(superposition,[status(thm)],[c_17493,c_17470]) ).
tcf(c_17929,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(X0,not(implies(X1,X1))),implies(X2,implies(X0,X3)))),
inference(superposition,[status(thm)],[c_17770,c_158]) ).
tcf(c_17993,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X2,implies(X0,X3)))
| ~ is_a_theorem(implies(X0,not(implies(X1,X1)))) ),
inference(superposition,[status(thm)],[c_17929,c_54]) ).
tcf(c_18009,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(not(implies(not(implies(X0,implies(X1,X1))),X2)),X3)),
inference(superposition,[status(thm)],[c_6465,c_17470]) ).
tcf(c_18015,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(not(implies(X0,implies(X1,X1))),X2)),
inference(superposition,[status(thm)],[c_18009,c_17390]) ).
tcf(c_18022,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2)) ),
inference(superposition,[status(thm)],[c_18015,c_208]) ).
tcf(c_18045,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_55,c_18022]) ).
tcf(c_18083,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),
inference(superposition,[status(thm)],[c_18045,c_158]) ).
tcf(c_18113,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(not(not(implies(X1,X1))),not(implies(X1,X1))),X2))),
inference(superposition,[status(thm)],[c_17562,c_17993]) ).
tcf(c_18200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X1,X2),X3))
| ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_18083,c_116]) ).
tcf(c_18673,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X1),X2),implies(X3,X2)))),
inference(superposition,[status(thm)],[c_55,c_18200]) ).
tcf(c_18901,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X3,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_18673,c_54]) ).
tcf(c_18935,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X2,X0),implies(X3,implies(X2,X1))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_18901,c_158]) ).
tcf(c_19326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X0,implies(X2,implies(not(X1),X3))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_17393,c_17696]) ).
tcf(c_20101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X2,implies(not(X1),X3)))
| ~ is_a_theorem(implies(implies(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_19326,c_17514]) ).
tcf(c_25639,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(not(implies(implies(not(not(implies(X1,X1))),not(implies(X1,X1))),X2)),X3))),
inference(superposition,[status(thm)],[c_18113,c_20101]) ).
tcf(c_26449,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(not(implies(implies(not(not(implies(X0,X0))),not(implies(X0,X0))),X1)),X2)),
inference(superposition,[status(thm)],[c_25639,c_17725]) ).
tcf(c_28889,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X3,implies(X2,X1)))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_18935,c_54]) ).
tcf(c_29202,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,implies(X0,X1)))
| ~ is_a_theorem(implies(X0,implies(not(X1),X1))) ),
inference(superposition,[status(thm)],[c_56,c_28889]) ).
tcf(c_29763,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(not(implies(not(X1),X1)),implies(not(X1),X1)),X1))),
inference(superposition,[status(thm)],[c_56,c_29202]) ).
tcf(c_31367,plain,
! [X0: $i] : is_a_theorem(implies(implies(not(implies(not(X0),X0)),implies(not(X0),X0)),X0)),
inference(superposition,[status(thm)],[c_29763,c_17725]) ).
tcf(c_38668,plain,
! [X0: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(not(implies(not(X0),X0)),implies(not(X0),X0))) ),
inference(superposition,[status(thm)],[c_31367,c_54]) ).
tcf(c_38718,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(implies(not(not(implies(X0,X0))),not(implies(X0,X0))),X1),X2)) ),
inference(superposition,[status(thm)],[c_26449,c_208]) ).
tcf(c_38783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(not(implies(X2,X2)),X3)))),
inference(superposition,[status(thm)],[c_5518,c_38718]) ).
tcf(c_38785,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(X3)
| ~ is_a_theorem(implies(implies(X0,implies(not(implies(X1,X1)),X2)),X3)) ),
inference(superposition,[status(thm)],[c_38783,c_208]) ).
tcf(c_38959,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_5803,c_38668]) ).
tcf(c_38963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,X3))
| ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3)) ),
inference(superposition,[status(thm)],[c_38959,c_116]) ).
tcf(c_40381,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(implies(not(X0),X1),X2),implies(X3,X2)))),
inference(superposition,[status(thm)],[c_55,c_38963]) ).
tcf(c_40383,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(not(implies(X1,implies(not(X0),X2))),X3))),
inference(superposition,[status(thm)],[c_57,c_38963]) ).
tcf(c_40498,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(implies(implies(not(implies(X0,implies(not(implies(X1,X1)),X2))),X3),X4),implies(X5,X4))),
inference(superposition,[status(thm)],[c_40381,c_38785]) ).
tcf(c_40677,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(implies(X5,X4))
| ~ is_a_theorem(implies(implies(not(implies(X0,implies(not(implies(X1,X1)),X2))),X3),X4)) ),
inference(superposition,[status(thm)],[c_40498,c_54]) ).
tcf(c_41196,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : is_a_theorem(implies(X0,implies(not(implies(X1,implies(not(implies(not(implies(X2,implies(not(implies(X3,X3)),X4))),X5)),X6))),X7))),
inference(superposition,[status(thm)],[c_40383,c_40677]) ).
tcf(c_41682,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : is_a_theorem(implies(not(implies(X0,implies(not(implies(not(implies(X1,implies(not(implies(X2,X2)),X3))),X4)),X5))),X6)),
inference(superposition,[status(thm)],[c_41196,c_38718]) ).
tcf(c_88576,plain,
! [X0: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(superposition,[status(thm)],[c_56,c_54]) ).
tcf(c_88579,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_55,c_54]) ).
tcf(c_88591,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(X0,implies(not(implies(not(implies(X1,implies(not(implies(X2,X2)),X3))),X4)),X5))),
inference(superposition,[status(thm)],[c_41682,c_88576]) ).
tcf(c_88593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(not(implies(not(implies(X0,implies(not(implies(X1,X1)),X2))),X3)),X4)),
inference(superposition,[status(thm)],[c_88591,c_88576]) ).
tcf(c_88595,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(not(implies(X0,implies(not(implies(X1,X1)),X2))),X3)),
inference(superposition,[status(thm)],[c_88593,c_88576]) ).
tcf(c_88622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(X0,X3)))
| ~ is_a_theorem(implies(X0,not(implies(not(X1),X2)))) ),
inference(superposition,[status(thm)],[c_217,c_430]) ).
tcf(c_88626,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(not(implies(X1,X1)),X2))),
inference(superposition,[status(thm)],[c_88595,c_88576]) ).
tcf(c_88638,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(X4)
| ~ is_a_theorem(implies(implies(not(implies(X0,implies(not(implies(X1,X1)),X2))),X3),X4)) ),
inference(superposition,[status(thm)],[c_88593,c_208]) ).
tcf(c_88692,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(implies(X0,X0)),X1)),
inference(superposition,[status(thm)],[c_88626,c_88638]) ).
tcf(c_88694,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_88692,c_208]) ).
tcf(c_88878,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(not(X1),X3))))),
inference(superposition,[status(thm)],[c_5803,c_88694]) ).
tcf(c_88888,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
inference(superposition,[status(thm)],[c_88878,c_88694]) ).
tcf(c_88892,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,X3))
| ~ is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3)) ),
inference(superposition,[status(thm)],[c_88888,c_116]) ).
tcf(c_89003,plain,
! [X0: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(not(implies(not(X0),X0)),implies(not(X0),X0))) ),
inference(superposition,[status(thm)],[c_31367,c_54]) ).
tcf(c_89341,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(not(implies(X0,implies(X1,X1))),X2)),
inference(superposition,[status(thm)],[c_6465,c_89003]) ).
tcf(c_89350,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(X0,implies(X1,X1)),X2)) ),
inference(superposition,[status(thm)],[c_89341,c_208]) ).
tcf(c_89362,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_55,c_89350]) ).
tcf(c_89397,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(implies(X3,X3),X1),X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_89362,c_116]) ).
tcf(c_91575,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_56,c_630]) ).
tcf(c_91578,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_429,c_630]) ).
tcf(c_92000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X2,implies(X3,X1)))
| ~ is_a_theorem(implies(implies(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_89362,c_91578]) ).
tcf(c_92203,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X2,X0)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_91575,c_92000]) ).
tcf(c_92289,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_92203,c_208]) ).
tcf(c_92390,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_55,c_92289]) ).
tcf(c_92513,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X2,X0),implies(X3,implies(X2,X1))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_92390,c_158]) ).
tcf(c_94903,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(implies(X1,X2),implies(X3,X2)))),
inference(superposition,[status(thm)],[c_55,c_89397]) ).
tcf(c_94907,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(implies(X2,X2),X0),X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_429,c_89397]) ).
tcf(c_95531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
| ~ is_a_theorem(implies(implies(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_94903,c_54]) ).
tcf(c_96082,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_94907,c_54]) ).
tcf(c_100275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X3,implies(X2,X1)))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_92513,c_54]) ).
tcf(c_100603,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,implies(X0,X1)))
| ~ is_a_theorem(implies(X0,implies(not(X1),X1))) ),
inference(superposition,[status(thm)],[c_56,c_100275]) ).
tcf(c_100871,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(superposition,[status(thm)],[c_215,c_100603]) ).
tcf(c_100873,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,implies(X1,X0)))
| ~ is_a_theorem(implies(not(X0),not(X1))) ),
inference(superposition,[status(thm)],[c_217,c_100603]) ).
tcf(c_100915,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(not(X1),X2)))),
inference(superposition,[status(thm)],[c_88888,c_100603]) ).
tcf(c_101385,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(implies(not(X0),X0),X0),X1)) ),
inference(superposition,[status(thm)],[c_100871,c_96082]) ).
tcf(c_101387,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_100871,c_95531]) ).
tcf(c_101438,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2)) ),
inference(superposition,[status(thm)],[c_100915,c_96082]) ).
tcf(c_104004,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,implies(not(X1),X1))) ),
inference(superposition,[status(thm)],[c_88579,c_101385]) ).
tcf(c_105188,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(superposition,[status(thm)],[c_55,c_101438]) ).
tcf(c_105446,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_105188,c_158]) ).
tcf(c_106874,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(not(X0),not(X1))) ),
inference(superposition,[status(thm)],[c_217,c_104004]) ).
tcf(c_106938,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,not(not(implies(X0,X1)))),implies(X0,X1))),
inference(superposition,[status(thm)],[c_105446,c_104004]) ).
tcf(c_109573,plain,
! [X0: $i] : is_a_theorem(implies(implies(not(X0),not(not(implies(not(X0),X0)))),X0)),
inference(superposition,[status(thm)],[c_106938,c_104004]) ).
tcf(c_111020,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
inference(superposition,[status(thm)],[c_101387,c_104004]) ).
tcf(c_111059,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(superposition,[status(thm)],[c_111020,c_158]) ).
tcf(c_111142,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_111059,c_88892]) ).
tcf(c_111162,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_111142,c_116]) ).
tcf(c_111749,plain,
! [X0: $i] : is_a_theorem(implies(not(not(implies(not(X0),X0))),X0)),
inference(superposition,[status(thm)],[c_109573,c_111162]) ).
tcf(c_112356,plain,
! [X0: $i] : is_a_theorem(implies(X0,not(implies(not(not(X0)),not(X0))))),
inference(superposition,[status(thm)],[c_111749,c_106874]) ).
tcf(c_113373,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(superposition,[status(thm)],[c_112356,c_88622]) ).
tcf(c_113423,plain,
! [X0: $i] : is_a_theorem(implies(not(not(X0)),X0)),
inference(superposition,[status(thm)],[c_113373,c_104004]) ).
tcf(c_113440,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,not(not(X1))))),
inference(superposition,[status(thm)],[c_113423,c_100873]) ).
tcf(c_114276,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X0,not(not(X0))),X1)) ),
inference(superposition,[status(thm)],[c_113440,c_96082]) ).
tcf(c_128698,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,not(not(X1))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_88579,c_114276]) ).
tcf(c_151558,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(not(X1),X0))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_128698,c_106874]) ).
tcf(c_379892,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(implies(X0,X1)),X0)),
inference(superposition,[status(thm)],[c_113373,c_151558]) ).
tcf(c_380020,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_58,c_379892]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL400-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 23:07:30 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 109.42/28.91 % SZS status Started for theBenchmark.p
% 109.42/28.91 % SZS status Unsatisfiable for theBenchmark.p
% 109.42/28.91
% 109.42/28.91 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 109.42/28.91
% 109.42/28.91 % ------ iProver source info
% 109.42/28.91
% 109.42/28.91 % git: date: 2026-07-19 20:42:38 +0200
% 109.42/28.91 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 109.42/28.91 % git: non_committed_changes: false
% 109.42/28.91
% 109.42/28.91 % ------ Parsing...% successful
% 109.42/28.91
% 109.42/28.91
% 109.42/28.91 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 109.42/28.91
% 109.42/28.91 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 109.42/28.91
% 109.42/28.91 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 109.42/28.91 % ------ Proving...
% 109.42/28.91 % ------ Problem Properties
% 109.42/28.91
% 109.42/28.91 %
% 109.42/28.91 % clauses 5
% 109.42/28.91 % conjectures 1
% 109.42/28.91 % EPR 0
% 109.42/28.91 % Horn 5
% 109.42/28.91 % unary 4
% 109.42/28.91 % binary 0
% 109.42/28.91 % lits 7
% 109.42/28.91 % lits eq 0
% 109.42/28.91 % fd_pure 0
% 109.42/28.91 % fd_pseudo 0
% 109.42/28.91 % fd_cond 0
% 109.42/28.91 % fd_pseudo_cond 0
% 109.42/28.91 % AC symbols 0
% 109.42/28.91
% 109.42/28.91 % ------ Input Options Time Limit: Unbounded
% 109.42/28.91
% 109.42/28.91
% 109.42/28.91 % ------
% 109.42/28.91 % Current options:
% 109.42/28.91 % ------
% 109.42/28.91
% 109.42/28.91
% 109.42/28.91 %
% 109.42/28.91
% 109.42/28.91 % ------ Proving...
% 109.42/28.91 %
% 109.42/28.91
% 109.42/28.91 % SZS status Unsatisfiable for theBenchmark.p
% 109.42/28.91
% 109.42/28.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 109.42/28.91
% 109.42/28.91
%------------------------------------------------------------------------------