%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL092-1 : 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 : n026.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 02:05:37 PM UTC 2026
% Result : Unsatisfiable 35.90s 17.32s
% Output : CNFRefutation 35.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 3
% Syntax : Number of formulae : 122 ( 69 unt; 0 def)
% Number of atoms : 180 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 118 ( 60 ~; 58 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 481 ( 0 sgn 481 !; 0 ?; 474 :)
% 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(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_3) ).
tcf(c_52,negated_conjecture,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
inference(cnf_transformation,[],[f3]) ).
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,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_114,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_54]) ).
tcf(c_140,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_114]) ).
tcf(c_154,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_140,c_54]) ).
tcf(c_205,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_140,c_154]) ).
tcf(c_230,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_205,c_54]) ).
tcf(c_288,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_230]) ).
tcf(c_339,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_288,c_114]) ).
tcf(c_562,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_339,c_154]) ).
tcf(c_611,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_562,c_54]) ).
tcf(c_699,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_53,c_611]) ).
tcf(c_708,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_699,c_114]) ).
tcf(c_786,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_708,c_54]) ).
tcf(c_837,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_708,c_786]) ).
tcf(c_951,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_54]) ).
tcf(c_979,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_951]) ).
tcf(c_993,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_979,c_54]) ).
tcf(c_1001,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_979,c_993]) ).
tcf(c_1015,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_1001,c_54]) ).
tcf(c_2069,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_837,c_1015]) ).
tcf(c_2080,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_2069,c_951]) ).
tcf(c_2137,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_2080,c_54]) ).
tcf(c_2139,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_2080,c_993]) ).
tcf(c_2287,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_2137]) ).
tcf(c_2293,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_837,c_2137]) ).
tcf(c_2531,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_2287,c_54]) ).
tcf(c_2697,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_2139,c_54]) ).
tcf(c_3208,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_2293,c_2531]) ).
tcf(c_3230,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_2293,c_2697]) ).
tcf(c_4044,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_3230,c_951]) ).
tcf(c_4551,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_4044,c_951]) ).
tcf(c_5840,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_4551,c_54]) ).
tcf(c_6888,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_5840]) ).
tcf(c_6896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,implies(X4,X2)))))),
inference(superposition,[status(thm)],[c_3230,c_5840]) ).
tcf(c_7075,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_6888,c_54]) ).
tcf(c_7256,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(X3,implies(X4,X2)))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_6896,c_54]) ).
tcf(c_7438,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_3208,c_7256]) ).
tcf(c_7446,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_7438,c_54]) ).
tcf(c_7485,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(superposition,[status(thm)],[c_3208,c_7446]) ).
tcf(c_7508,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_7485,c_951]) ).
tcf(c_8183,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_7485,c_7075]) ).
tcf(c_8195,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_8183,c_54]) ).
tcf(c_8234,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X1,X1)))),
inference(superposition,[status(thm)],[c_7485,c_8195]) ).
tcf(c_9444,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_8234,c_54]) ).
tcf(c_9451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X3))))),
inference(superposition,[status(thm)],[c_8234,c_5840]) ).
tcf(c_9588,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(X3,X3))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_9451,c_54]) ).
tcf(c_9716,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_7508,c_9444]) ).
tcf(c_9867,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_7485,c_9588]) ).
tcf(c_9881,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X2,X2)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_9867,c_54]) ).
tcf(c_9921,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_7485,c_9881]) ).
tcf(c_9935,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X1))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_9921,c_54]) ).
tcf(c_9975,plain,
! [X0: $i] : is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_7485,c_9935]) ).
tcf(c_10073,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_9975,c_5840]) ).
tcf(c_10528,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_10073,c_54]) ).
tcf(c_10797,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(superposition,[status(thm)],[c_7485,c_10528]) ).
tcf(c_11092,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X2,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_10797,c_54]) ).
tcf(c_11205,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(superposition,[status(thm)],[c_7485,c_11092]) ).
tcf(c_18876,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_837,c_54]) ).
tcf(c_18883,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_837,c_18876]) ).
tcf(c_18884,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(X3,X0))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_18883,c_54]) ).
tcf(c_18891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X2,implies(X3,X0)))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_18884,c_54]) ).
tcf(c_18901,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X2,X0)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_837,c_18891]) ).
tcf(c_18912,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_18901,c_54]) ).
tcf(c_18916,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_9716,c_54]) ).
tcf(c_18919,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_54]) ).
tcf(c_18933,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_9716,c_18912]) ).
tcf(c_18947,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_9716,c_18916]) ).
tcf(c_18953,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_18919]) ).
tcf(c_18955,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_18883,c_18919]) ).
tcf(c_18970,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_18933,c_18919]) ).
tcf(c_18974,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,implies(X3,implies(X1,X4)))),implies(X5,implies(X6,implies(X2,implies(X3,implies(X1,X4))))))),
inference(superposition,[status(thm)],[c_18955,c_18919]) ).
tcf(c_18983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X3,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_18947,c_18919]) ).
tcf(c_19075,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_18953,c_54]) ).
tcf(c_19096,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_18947,c_19075]) ).
tcf(c_19165,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_19096,c_54]) ).
tcf(c_19209,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X2,X1)))),
inference(superposition,[status(thm)],[c_18974,c_19165]) ).
tcf(c_19215,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_19209,c_54]) ).
tcf(c_19217,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_19209,c_18919]) ).
tcf(c_19234,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,implies(X1,X0)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_18933,c_19215]) ).
tcf(c_19249,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(global_subsumption_just,[status(thm)],[c_19234,c_11205]) ).
tcf(c_19254,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_19249,c_18919]) ).
tcf(c_19258,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_19217,c_54]) ).
tcf(c_19268,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_19254,c_54]) ).
tcf(c_19358,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_19254,c_19258]) ).
tcf(c_19378,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X3))))),
inference(superposition,[status(thm)],[c_18983,c_19268]) ).
tcf(c_19463,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_19358,c_54]) ).
tcf(c_19477,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(X2,implies(X3,X3))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_19378,c_54]) ).
tcf(c_19518,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(superposition,[status(thm)],[c_18974,c_19463]) ).
tcf(c_19558,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(X1,implies(X2,X2)))),
inference(superposition,[status(thm)],[c_19518,c_19477]) ).
tcf(c_19576,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X2,X2)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_19558,c_54]) ).
tcf(c_19578,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,implies(X3,X1)))),
inference(superposition,[status(thm)],[c_19558,c_18919]) ).
tcf(c_19603,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X1))),
inference(superposition,[status(thm)],[c_19518,c_19576]) ).
tcf(c_19830,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X1))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_19603,c_54]) ).
tcf(c_19856,plain,
! [X0: $i] : is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_19518,c_19830]) ).
tcf(c_21685,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(implies(X0,X2),X1),implies(X3,implies(X4,X1))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_18970,c_18919]) ).
tcf(c_25632,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X3,implies(X4,X2)))
| ~ is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_21685,c_54]) ).
tcf(c_34186,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X2,implies(X3,implies(X0,X1))))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_19856,c_25632]) ).
tcf(c_37761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X2),X3),implies(X4,X3))))),
inference(superposition,[status(thm)],[c_19578,c_34186]) ).
tcf(c_37771,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,X2))))),
inference(superposition,[status(thm)],[c_19254,c_34186]) ).
tcf(c_39721,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X1,implies(implies(implies(X2,X2),X3),implies(X4,X3))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_37761,c_54]) ).
tcf(c_39874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,X2))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_37771,c_54]) ).
tcf(c_42048,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X1),X2),implies(X3,X2)))),
inference(superposition,[status(thm)],[c_37761,c_39721]) ).
tcf(c_42688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1)))),
inference(superposition,[status(thm)],[c_37761,c_39874]) ).
tcf(c_44177,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_42048,c_54]) ).
tcf(c_44224,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_42688,c_54]) ).
tcf(c_44716,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(superposition,[status(thm)],[c_37761,c_44177]) ).
tcf(c_44756,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X2),X3),X3)))),
inference(superposition,[status(thm)],[c_44716,c_34186]) ).
tcf(c_45065,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X1,implies(implies(implies(X2,X2),X3),X3)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_44756,c_54]) ).
tcf(c_45724,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
inference(superposition,[status(thm)],[c_44716,c_44224]) ).
tcf(c_46055,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X1),X2),X2))),
inference(superposition,[status(thm)],[c_44716,c_45065]) ).
tcf(c_47395,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X2),X2)))),
inference(superposition,[status(thm)],[c_45724,c_34186]) ).
tcf(c_48263,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(implies(X1,X1),X2),X2))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_46055,c_54]) ).
tcf(c_50653,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
inference(superposition,[status(thm)],[c_44716,c_48263]) ).
tcf(c_50664,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(implies(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_50653,c_54]) ).
tcf(c_54358,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
inference(superposition,[status(thm)],[c_47395,c_50664]) ).
tcf(c_54411,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(superposition,[status(thm)],[c_54358,c_50664]) ).
tcf(c_54430,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_52,c_54411]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL092-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/10.38 % Computer : n026.cluster.edu
% 0.11/10.38 % Model : x86_64 x86_64
% 0.11/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.38 % Memory : 8046.5625MB
% 0.11/10.38 % OS : Linux 6.8.0-71-generic
% 0.11/10.38 % CPULimit : 300
% 0.11/10.38 % WCLimit : 300
% 0.11/10.38 % DateTime : Wed Sep 23 21:56:20 UTC 2026
% 0.11/10.39 % CPUTime :
% 0.11/10.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/10.43 Running first-order theorem proving
% 0.14/10.43 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
% 0.14/10.44
% 0.14/10.44 % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.44
% 0.14/10.44 % Detected problem language: tptp
% 0.14/10.45 % Proving...
% 35.90/17.32 % SZS status Started for theBenchmark.p
% 35.90/17.32 % SZS status Unsatisfiable for theBenchmark.p
% 35.90/17.32
% 35.90/17.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 35.90/17.32
% 35.90/17.32 % ------ iProver source info
% 35.90/17.32
% 35.90/17.32 % git: date: 2026-07-19 20:42:38 +0200
% 35.90/17.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 35.90/17.32 % git: non_committed_changes: false
% 35.90/17.32
% 35.90/17.32 % ------ Parsing...% successful
% 35.90/17.32
% 35.90/17.32
% 35.90/17.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 35.90/17.32
% 35.90/17.32 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e %
% 35.90/17.32
% 35.90/17.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 35.90/17.32 % ------ Proving...
% 35.90/17.32 % ------ Problem Properties
% 35.90/17.32
% 35.90/17.32 %
% 35.90/17.32 % clauses 3
% 35.90/17.32 % conjectures 1
% 35.90/17.32 % EPR 0
% 35.90/17.32 % Horn 3
% 35.90/17.32 % unary 2
% 35.90/17.32 % binary 0
% 35.90/17.32 % lits 5
% 35.90/17.32 % lits eq 0
% 35.90/17.32 % fd_pure 0
% 35.90/17.32 % fd_pseudo 0
% 35.90/17.32 % fd_cond 0
% 35.90/17.32 % fd_pseudo_cond 0
% 35.90/17.32 % AC symbols 0
% 35.90/17.32
% 35.90/17.32 % ------ Schedule dynamic 5 is on
% 35.90/17.32
% 35.90/17.32 % ------ no equalities: superposition off
% 35.90/17.32
% 35.90/17.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 35.90/17.32
% 35.90/17.32
% 35.90/17.32 % ------
% 35.90/17.32 % Current options:
% 35.90/17.32 % ------
% 35.90/17.32
% 35.90/17.32
% 35.90/17.32 %
% 35.90/17.32
% 35.90/17.32 % ------ Proving...
% 35.90/17.32 %
% 35.90/17.32
% 35.90/17.32 % SZS status Unsatisfiable for theBenchmark.p
% 35.90/17.32
% 35.90/17.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 35.90/17.33
% 35.90/17.33
%------------------------------------------------------------------------------