%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL095-1 : 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 : n001.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 02:05:38 PM UTC 2026
% Result : Unsatisfiable 47.44s 12.75s
% Output : CNFRefutation 47.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 3
% Syntax : Number of formulae : 157 ( 83 unt; 0 def)
% Number of atoms : 244 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 176 ( 89 ~; 87 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Maximal term depth : 9 ( 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; 2 con; 0-2 aty)
% Number of variables : 724 ( 0 sgn 724 !; 0 ?; 717 :)
% 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,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X3)),implies(implies(X3,X0),implies(X4,implies(X2,X0))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_5) ).
fof(f3,negated_conjecture,
~ is_a_theorem(implies(a,implies(implies(a,b),b))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_5) ).
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(implies(X3,X0),implies(X4,implies(X2,X0))))),
inference(cnf_transformation,[],[f2]) ).
tcf(c_54,negated_conjecture,
~ is_a_theorem(implies(a,implies(implies(a,b),b))),
inference(cnf_transformation,[],[f3]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X3,X0),implies(X4,implies(X2,X0))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X2,X3)),implies(X4,implies(implies(X5,X2),implies(X2,X3))))),
inference(superposition,[status(thm)],[c_53,c_72]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(implies(X4,implies(implies(X5,X2),implies(X2,X3))))
| ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X2,X3))) ),
inference(superposition,[status(thm)],[c_76,c_52]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X3,X0),implies(X4,implies(X2,X0))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X2,X3)),implies(X4,implies(implies(X5,X2),implies(X2,X3))))),
inference(superposition,[status(thm)],[c_53,c_96]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))),
inference(superposition,[status(thm)],[c_99,c_82]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X2,implies(implies(X3,X4),implies(X4,X2)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_112,c_52]) ).
tcf(c_154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(X0,X1),implies(X1,implies(implies(X2,X3),implies(X3,X1))))),
inference(superposition,[status(thm)],[c_53,c_135]) ).
tcf(c_168,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,X1))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_154,c_52]) ).
tcf(c_169,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X1,X2)),X3),implies(X4,implies(X2,X3)))),
inference(superposition,[status(thm)],[c_154,c_96]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X4),implies(X4,implies(X0,implies(X1,X2)))))),
inference(superposition,[status(thm)],[c_169,c_168]) ).
tcf(c_299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,implies(X2,X3)))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_169,c_52]) ).
tcf(c_302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(implies(X4,X3),X1)))))),
inference(superposition,[status(thm)],[c_169,c_299]) ).
tcf(c_304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(X3,implies(implies(X4,X3),X1)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_302,c_52]) ).
tcf(c_308,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(implies(X3,X2),X0))))),
inference(superposition,[status(thm)],[c_169,c_304]) ).
tcf(c_311,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(implies(X3,X2),X0))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_308,c_52]) ).
tcf(c_314,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X3,X0),implies(X4,implies(X2,X0))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(superposition,[status(thm)],[c_53,c_52]) ).
tcf(c_315,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2)))))),
inference(superposition,[status(thm)],[c_53,c_299]) ).
tcf(c_319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X2,implies(implies(X3,X2),X0)))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_311,c_52]) ).
tcf(c_322,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X1,implies(implies(X1,X2),implies(X3,implies(X4,X2)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_315,c_52]) ).
tcf(c_323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(implies(X2,X3),implies(X4,implies(X5,X3))))))),
inference(superposition,[status(thm)],[c_315,c_299]) ).
tcf(c_332,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(implies(X2,X1),X0)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_315,c_319]) ).
tcf(c_336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X3,implies(implies(X4,X5),implies(X5,X1))))))),
inference(superposition,[status(thm)],[c_174,c_299]) ).
tcf(c_342,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X2,X1),X0))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_332,c_52]) ).
tcf(c_389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X3,implies(X1,X2)))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_342,c_299]) ).
tcf(c_414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X1,implies(implies(X2,implies(X3,X4)),X0)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_169,c_389]) ).
tcf(c_510,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X2,implies(X3,X4)),X0))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_414,c_52]) ).
tcf(c_549,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X1,implies(X2,X3)),X0))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_315,c_510]) ).
tcf(c_2784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,implies(X3,X1))))),
inference(superposition,[status(thm)],[c_336,c_322]) ).
tcf(c_3166,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))),
inference(superposition,[status(thm)],[c_169,c_82]) ).
tcf(c_3249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_3166,c_52]) ).
tcf(c_3276,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X2,implies(X3,X1))))),
inference(superposition,[status(thm)],[c_2784,c_3249]) ).
tcf(c_3292,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(X3,X1))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_3276,c_52]) ).
tcf(c_3297,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(X2,X3)))),
inference(superposition,[status(thm)],[c_3276,c_314]) ).
tcf(c_3416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X3,implies(X4,implies(X0,implies(X1,X2)))))),
inference(superposition,[status(thm)],[c_3297,c_3292]) ).
tcf(c_3423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,implies(X2,X3)))
| ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_3297,c_52]) ).
tcf(c_3444,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X3,implies(X4,implies(X5,X3))))))),
inference(superposition,[status(thm)],[c_3166,c_3423]) ).
tcf(c_3447,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X1)))))),
inference(superposition,[status(thm)],[c_3297,c_3423]) ).
tcf(c_3480,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(implies(X3,X4),implies(X4,implies(X5,implies(X6,X4)))))))),
inference(superposition,[status(thm)],[c_3444,c_3423]) ).
tcf(c_3606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X1)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_3447,c_52]) ).
tcf(c_3615,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X2))))))),
inference(superposition,[status(thm)],[c_3447,c_3423]) ).
tcf(c_3662,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_3447,c_3606]) ).
tcf(c_3686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(implies(implies(X0,implies(X1,implies(X2,X3))),X2),implies(X4,implies(X5,X2)))),
inference(superposition,[status(thm)],[c_3662,c_314]) ).
tcf(c_4407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,implies(X6,X3)))))))),
inference(superposition,[status(thm)],[c_3615,c_3423]) ).
tcf(c_5668,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X1))))))),
inference(superposition,[status(thm)],[c_3416,c_3423]) ).
tcf(c_5709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,implies(X6,X2)))))))),
inference(superposition,[status(thm)],[c_5668,c_3423]) ).
tcf(c_5807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(implies(X4,implies(X5,X2)))
| ~ is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X3))),X2)) ),
inference(superposition,[status(thm)],[c_3686,c_52]) ).
tcf(c_6103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,implies(X6,implies(X7,X4))))))))),
inference(superposition,[status(thm)],[c_4407,c_5807]) ).
tcf(c_6190,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,implies(X6,implies(X7,X3))))))))),
inference(superposition,[status(thm)],[c_5709,c_5807]) ).
tcf(c_6605,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(implies(X3,X4),implies(X4,implies(X5,implies(X6,X4)))))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_3480,c_52]) ).
tcf(c_6610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,implies(X6,implies(X7,X3))))))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_6190,c_52]) ).
tcf(c_6619,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,implies(X6,implies(X7,X4))))))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_6103,c_52]) ).
tcf(c_6649,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,implies(X3,X1))))),
inference(superposition,[status(thm)],[c_3480,c_322]) ).
tcf(c_6688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,X1))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_6649,c_52]) ).
tcf(c_6702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X2,implies(X3,X1)))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_6688,c_52]) ).
tcf(c_6709,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( is_a_theorem(implies(X4,implies(X5,implies(implies(X3,X0),implies(X6,implies(X2,X0))))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,X3))) ),
inference(superposition,[status(thm)],[c_53,c_6702]) ).
tcf(c_6818,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X3,implies(X4,implies(X5,X3))))))),
inference(superposition,[status(thm)],[c_3480,c_6605]) ).
tcf(c_6838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,implies(X6,X2)))))))),
inference(superposition,[status(thm)],[c_3480,c_6610]) ).
tcf(c_6943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,implies(X6,X3)))))))),
inference(superposition,[status(thm)],[c_3480,c_6619]) ).
tcf(c_6998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,implies(X2,X3)))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_169,c_52]) ).
tcf(c_7099,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(implies(X3,X4),implies(X5,implies(X6,X4)))))))),
inference(superposition,[status(thm)],[c_323,c_6998]) ).
tcf(c_7357,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,implies(X4,implies(X5,X3))))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_6818,c_52]) ).
tcf(c_7371,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,implies(X6,X2)))))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_6838,c_52]) ).
tcf(c_7414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))),
inference(superposition,[status(thm)],[c_7099,c_7357]) ).
tcf(c_7456,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X1))))))),
inference(superposition,[status(thm)],[c_7099,c_7371]) ).
tcf(c_7550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,implies(X4,X2)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_7414,c_52]) ).
tcf(c_7566,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X1))))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_7456,c_52]) ).
tcf(c_7612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X2,implies(X3,X1))))),
inference(superposition,[status(thm)],[c_7099,c_7550]) ).
tcf(c_7633,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X4,implies(X2,X3)))),
inference(superposition,[status(thm)],[c_7612,c_314]) ).
tcf(c_7721,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_7099,c_7566]) ).
tcf(c_7734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,implies(X3,X4)),implies(X4,X5)),implies(X6,implies(implies(X7,X4),implies(X4,X5))))))),
inference(superposition,[status(thm)],[c_53,c_6709]) ).
tcf(c_7924,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : is_a_theorem(implies(implies(implies(X0,implies(X1,implies(X2,implies(X3,X4)))),X3),implies(X5,implies(X6,X3)))),
inference(superposition,[status(thm)],[c_7721,c_314]) ).
tcf(c_7943,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,implies(X3,X0))),implies(X4,implies(X5,implies(X2,implies(X3,X0)))))),
inference(superposition,[status(thm)],[c_7633,c_314]) ).
tcf(c_8641,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(implies(X4,implies(X5,implies(X2,implies(X3,X0)))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,X0)))) ),
inference(superposition,[status(thm)],[c_7943,c_52]) ).
tcf(c_8876,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X4,implies(X3,X3)))))),
inference(superposition,[status(thm)],[c_53,c_8641]) ).
tcf(c_8894,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X4))))))),
inference(superposition,[status(thm)],[c_7943,c_8641]) ).
tcf(c_9151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,implies(X3,X3)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_8876,c_52]) ).
tcf(c_9195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X4))))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_8894,c_52]) ).
tcf(c_9249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,implies(X2,X2))))),
inference(superposition,[status(thm)],[c_6943,c_9151]) ).
tcf(c_9310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X3)))))),
inference(superposition,[status(thm)],[c_6943,c_9195]) ).
tcf(c_9462,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X2,X2))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_9249,c_52]) ).
tcf(c_9486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X3)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_9310,c_52]) ).
tcf(c_9649,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X1,X1)))),
inference(superposition,[status(thm)],[c_6943,c_9462]) ).
tcf(c_9681,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,implies(X1,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_9649,c_52]) ).
tcf(c_9828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(X1,implies(X2,X3)),implies(X1,implies(X2,X3))))),
inference(superposition,[status(thm)],[c_7924,c_9681]) ).
tcf(c_10012,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X2))))),
inference(superposition,[status(thm)],[c_6943,c_9486]) ).
tcf(c_10438,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(X3,X2))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_10012,c_52]) ).
tcf(c_10516,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(superposition,[status(thm)],[c_7734,c_10438]) ).
tcf(c_10549,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_10516,c_52]) ).
tcf(c_10624,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_7734,c_10549]) ).
tcf(c_16770,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X1,implies(X2,X3)),implies(X1,implies(X2,X3))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_9828,c_52]) ).
tcf(c_16789,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,X0))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_549,c_168]) ).
tcf(c_16797,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,implies(X3,X1))))),
inference(superposition,[status(thm)],[c_9828,c_322]) ).
tcf(c_16811,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X3,X1))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_16797,c_52]) ).
tcf(c_16816,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X2,X0)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_16789,c_52]) ).
tcf(c_16821,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_16816,c_52]) ).
tcf(c_16832,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_549,c_16821]) ).
tcf(c_16855,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X2,implies(X3,X1)))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_16811,c_52]) ).
tcf(c_16860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X2,implies(X3,X1)))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_16832,c_16855]) ).
tcf(c_16889,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,implies(X1,X2)))),
inference(superposition,[status(thm)],[c_3480,c_16770]) ).
tcf(c_16933,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X2,X0)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_3480,c_16860]) ).
tcf(c_16940,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_16933,c_52]) ).
tcf(c_16962,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_3480,c_16940]) ).
tcf(c_17032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X3,implies(X0,X2))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_16962,c_314]) ).
tcf(c_17195,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_17032,c_52]) ).
tcf(c_17301,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X4,implies(X2,X3)))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X1,X2)),X3)) ),
inference(superposition,[status(thm)],[c_169,c_52]) ).
tcf(c_17395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X3,X2))))),
inference(superposition,[status(thm)],[c_16889,c_82]) ).
tcf(c_17432,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X2,implies(X3,X2))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_17395,c_52]) ).
tcf(c_17541,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X2,X1)))),
inference(superposition,[status(thm)],[c_17395,c_17432]) ).
tcf(c_17548,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_17541,c_52]) ).
tcf(c_17554,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X3,implies(X1,X2)))),
inference(superposition,[status(thm)],[c_17541,c_314]) ).
tcf(c_17580,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,implies(X1,X0)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_16962,c_17548]) ).
tcf(c_17709,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(global_subsumption_just,[status(thm)],[c_17580,c_10624]) ).
tcf(c_17711,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X3,implies(X1,X2)))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_17709,c_17195]) ).
tcf(c_17721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,implies(X3,X0)))),
inference(superposition,[status(thm)],[c_17709,c_314]) ).
tcf(c_17744,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X2,implies(X3,X0)))
| ~ is_a_theorem(implies(implies(X0,X1),X0)) ),
inference(superposition,[status(thm)],[c_17721,c_52]) ).
tcf(c_17753,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X1)))))),
inference(superposition,[status(thm)],[c_17721,c_17301]) ).
tcf(c_17768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,implies(X5,X2))))))),
inference(superposition,[status(thm)],[c_17753,c_17301]) ).
tcf(c_18362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X2,X3),implies(X4,implies(X1,X3)))))),
inference(superposition,[status(thm)],[c_53,c_17711]) ).
tcf(c_18375,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X1),X3),implies(X4,implies(X5,X3)))))),
inference(superposition,[status(thm)],[c_16797,c_17711]) ).
tcf(c_18406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X1))))),
inference(superposition,[status(thm)],[c_17554,c_17711]) ).
tcf(c_18410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(X3,X1))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_18406,c_52]) ).
tcf(c_18448,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(superposition,[status(thm)],[c_3480,c_18410]) ).
tcf(c_18472,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X4,implies(X1,X3)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_18362,c_52]) ).
tcf(c_18509,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X3,implies(X0,X2))))),
inference(superposition,[status(thm)],[c_3480,c_18472]) ).
tcf(c_18616,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(implies(X1,implies(implies(implies(X2,X1),X3),implies(X4,implies(X5,X3)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_18375,c_52]) ).
tcf(c_18656,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X1),implies(X3,implies(X4,X1)))),
inference(superposition,[status(thm)],[c_18448,c_314]) ).
tcf(c_18701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X0),X2),implies(X3,implies(X4,X2))))),
inference(superposition,[status(thm)],[c_18448,c_18616]) ).
tcf(c_19107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : is_a_theorem(implies(implies(implies(X0,implies(X1,implies(X2,implies(X3,X0)))),X4),implies(X5,implies(X6,X4)))),
inference(superposition,[status(thm)],[c_17768,c_314]) ).
tcf(c_19312,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,implies(X1,X3))),implies(X4,implies(X5,implies(X2,implies(X1,X3)))))),
inference(superposition,[status(thm)],[c_18656,c_314]) ).
tcf(c_19856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_a_theorem(implies(X4,implies(X5,implies(X2,implies(X1,X3)))))
| ~ is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X1,X3)))) ),
inference(superposition,[status(thm)],[c_19312,c_52]) ).
tcf(c_19951,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(implies(X4,X2),implies(X4,X3)))))),
inference(superposition,[status(thm)],[c_53,c_19856]) ).
tcf(c_20020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(X2,X3),implies(X2,implies(X4,X3)))))),
inference(superposition,[status(thm)],[c_18509,c_19856]) ).
tcf(c_20029,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(implies(X4,X2),implies(X4,X3)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_19951,c_52]) ).
tcf(c_20081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))),
inference(superposition,[status(thm)],[c_19107,c_20029]) ).
tcf(c_20136,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X2,implies(X4,X3)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_20020,c_52]) ).
tcf(c_20229,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_20081,c_52]) ).
tcf(c_20280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X1,implies(X3,X2))))),
inference(superposition,[status(thm)],[c_19107,c_20136]) ).
tcf(c_20339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X1,implies(X3,X2))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_20280,c_52]) ).
tcf(c_20386,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))),
inference(superposition,[status(thm)],[c_19107,c_20339]) ).
tcf(c_20446,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,implies(X2,X1)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_20386,c_52]) ).
tcf(c_20479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X3,implies(X1,implies(X4,X2))))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_20446,c_17711]) ).
tcf(c_20661,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(superposition,[status(thm)],[c_18701,c_20229]) ).
tcf(c_20897,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X3,implies(implies(X0,X2),X2)))),
inference(superposition,[status(thm)],[c_20661,c_314]) ).
tcf(c_21198,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,implies(implies(X2,X4),implies(X5,implies(X1,X4))))))),
inference(superposition,[status(thm)],[c_53,c_20479]) ).
tcf(c_22064,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(implies(X2,X3),X3))))),
inference(superposition,[status(thm)],[c_20897,c_17744]) ).
tcf(c_22351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(implies(X2,X3),X3))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_22064,c_52]) ).
tcf(c_22526,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),X2)))),
inference(superposition,[status(thm)],[c_22064,c_22351]) ).
tcf(c_24258,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(implies(X1,X2),X2)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_22526,c_52]) ).
tcf(c_24546,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(superposition,[status(thm)],[c_21198,c_24258]) ).
tcf(c_24549,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_54,c_24546]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL095-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.39 % Computer : n001.cluster.edu
% 0.10/5.39 % Model : x86_64 x86_64
% 0.10/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.39 % Memory : 8046.5625MB
% 0.10/5.39 % OS : Linux 6.8.0-71-generic
% 0.10/5.39 % CPULimit : 300
% 0.10/5.39 % WCLimit : 300
% 0.10/5.39 % DateTime : Wed Sep 23 21:59:27 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/5.43 Running first-order theorem proving
% 0.16/5.43 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
% 0.16/5.44
% 0.16/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.44
% 0.16/5.44 % Detected problem language: tptp
% 0.16/5.45 % Proving...
% 47.44/12.75 % SZS status Started for theBenchmark.p
% 47.44/12.75 % SZS status Unsatisfiable for theBenchmark.p
% 47.44/12.75
% 47.44/12.75 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 47.44/12.75
% 47.44/12.75 % ------ iProver source info
% 47.44/12.75
% 47.44/12.75 % git: date: 2026-07-19 20:42:38 +0200
% 47.44/12.75 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 47.44/12.75 % git: non_committed_changes: false
% 47.44/12.75
% 47.44/12.75 % ------ Parsing...% successful
% 47.44/12.75
% 47.44/12.75
% 47.44/12.75 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 47.44/12.75
% 47.44/12.75 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 47.44/12.75
% 47.44/12.75 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 47.44/12.75 % ------ Proving...
% 47.44/12.75 % ------ Problem Properties
% 47.44/12.75
% 47.44/12.75 %
% 47.44/12.75 % clauses 3
% 47.44/12.75 % conjectures 1
% 47.44/12.75 % EPR 0
% 47.44/12.75 % Horn 3
% 47.44/12.75 % unary 2
% 47.44/12.75 % binary 0
% 47.44/12.75 % lits 5
% 47.44/12.75 % lits eq 0
% 47.44/12.75 % fd_pure 0
% 47.44/12.75 % fd_pseudo 0
% 47.44/12.75 % fd_cond 0
% 47.44/12.75 % fd_pseudo_cond 0
% 47.44/12.75 % AC symbols 0
% 47.44/12.75
% 47.44/12.75 % ------ Input Options Time Limit: Unbounded
% 47.44/12.75
% 47.44/12.75
% 47.44/12.75 % ------
% 47.44/12.75 % Current options:
% 47.44/12.75 % ------
% 47.44/12.75
% 47.44/12.75
% 47.44/12.75 %
% 47.44/12.75
% 47.44/12.75 % ------ Proving...
% 47.44/12.75 %
% 47.44/12.75
% 47.44/12.75 % SZS status Unsatisfiable for theBenchmark.p
% 47.44/12.75
% 47.44/12.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 47.44/12.76
% 47.44/12.76
%------------------------------------------------------------------------------