%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL378-1 : 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 : n019.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 02:06:28 PM UTC 2026
% Result : Unsatisfiable 233.46s 35.41s
% Output : CNFRefutation 233.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 85 ( 31 unt; 0 def)
% Number of atoms : 161 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 154 ( 78 ~; 76 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 201 ( 0 sgn 201 !; 0 ?; 193 :)
% 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(x),implies(x,y))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_36) ).
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(x),implies(x,y))),
inference(cnf_transformation,[],[f5]) ).
tcf(c_59,plain,
is_a_theorem(implies(x,implies(not(x),x))),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_88,plain,
! [X0: $i] :
( is_a_theorem(X0)
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(resolution,[status(thm)],[c_54,c_56]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(not(X0),X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_54,c_57]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_55,c_54]) ).
tcf(c_137,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(resolution,[status(thm)],[c_131,c_54]) ).
tcf(c_138,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_149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[c_137,c_55]) ).
tcf(c_151,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,implies(not(X1),X1))) ),
inference(resolution,[status(thm)],[c_137,c_56]) ).
tcf(c_152,plain,
( is_a_theorem(implies(x,x))
| ~ is_a_theorem(implies(x,implies(not(x),x))) ),
inference(instantiation,[status(thm)],[c_151]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,implies(not(X1),X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_137,c_57]) ).
tcf(c_155,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X0,implies(X3,X2)))
| ~ is_a_theorem(implies(X3,X1))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[c_137,c_131]) ).
tcf(c_174,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_138,c_54]) ).
tcf(c_191,plain,
! [X0: $i] : is_a_theorem(implies(implies(not(implies(not(X0),X0)),implies(not(X0),X0)),X0)),
inference(resolution,[status(thm)],[c_151,c_56]) ).
tcf(c_193,plain,
! [X0: $i] : is_a_theorem(implies(X0,X0)),
inference(resolution,[status(thm)],[c_151,c_57]) ).
tcf(c_196,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X1,X0),X0))
| ~ is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[status(thm)],[c_151,c_131]) ).
tcf(c_227,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_174]) ).
tcf(c_231,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X3,X1),X2))
| ~ is_a_theorem(implies(X0,X3))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(superposition,[status(thm)],[c_138,c_174]) ).
tcf(c_266,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(not(X1),X2))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_153,c_54]) ).
tcf(c_269,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X2,implies(not(X1),X3)))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_153,c_137]) ).
tcf(c_284,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X2,X3),implies(X1,X3)))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[c_149,c_54]) ).
tcf(c_285,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(not(implies(implies(X0,X1),implies(X2,X1))),implies(X2,X0))) ),
inference(resolution,[status(thm)],[c_149,c_88]) ).
tcf(c_306,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X3,X1),implies(X0,implies(X3,X2))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[c_155,c_55]) ).
tcf(c_310,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,implies(X0,X2)))
| ~ is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[status(thm)],[c_155,c_57]) ).
tcf(c_335,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X3,X1),implies(X0,implies(X3,X2))))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(superposition,[status(thm)],[c_138,c_227]) ).
tcf(c_409,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(not(X2),X1))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[c_196,c_137]) ).
tcf(c_566,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(not(X0),not(X1))) ),
inference(resolution,[status(thm)],[c_310,c_151]) ).
tcf(c_638,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[status(thm)],[c_566,c_90]) ).
tcf(c_650,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(not(X0),X0)) ),
inference(resolution,[status(thm)],[c_638,c_151]) ).
tcf(c_801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X4,X1),implies(X0,implies(X3,X2))))
| ~ is_a_theorem(implies(X3,X4))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(superposition,[status(thm)],[c_335,c_231]) ).
tcf(c_841,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(not(implies(X2,X1)),X3))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_266,c_131]) ).
tcf(c_887,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( is_a_theorem(implies(implies(X2,X0),implies(not(X3),X4)))
| ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)) ),
inference(resolution,[status(thm)],[c_269,c_55]) ).
tcf(c_889,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(not(X0),X0),implies(not(X1),X2)))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_269,c_56]) ).
tcf(c_891,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X0,implies(not(X2),X3)))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(resolution,[status(thm)],[c_269,c_57]) ).
tcf(c_952,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X0,X2),implies(X0,X1)))
| ~ is_a_theorem(implies(not(implies(X0,X1)),implies(X2,X1))) ),
inference(resolution,[status(thm)],[c_306,c_151]) ).
tcf(c_1527,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(X1,X2),implies(X0,X2)))
| ~ is_a_theorem(implies(not(implies(X0,X1)),implies(X0,X1))) ),
inference(resolution,[status(thm)],[c_284,c_56]) ).
tcf(c_1530,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X1,X3),implies(X2,X3)))
| ~ is_a_theorem(implies(X2,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_284,c_131]) ).
tcf(c_2586,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(X0,implies(not(implies(not(X0),X1)),X2))),
inference(resolution,[status(thm)],[c_891,c_193]) ).
tcf(c_5299,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(not(X0),not(implies(not(X1),X2)))) ),
inference(resolution,[status(thm)],[c_409,c_2586]) ).
tcf(c_5310,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(implies(not(X2),X2),X0))
| ~ is_a_theorem(implies(X2,X1))
| ~ is_a_theorem(implies(not(X0),not(X1))) ),
inference(resolution,[status(thm)],[c_409,c_889]) ).
tcf(c_6323,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(not(implies(implies(not(X0),X0),X1)),X2))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_841,c_56]) ).
tcf(c_6325,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(not(implies(X0,X2)),X3))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(resolution,[status(thm)],[c_841,c_57]) ).
tcf(c_7938,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,not(not(implies(X0,X1)))),implies(X0,X1))),
inference(resolution,[status(thm)],[c_952,c_57]) ).
tcf(c_7982,plain,
! [X0: $i] : is_a_theorem(implies(implies(not(X0),not(not(implies(not(X0),X0)))),X0)),
inference(resolution,[status(thm)],[c_7938,c_151]) ).
tcf(c_9374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(implies(X2,X3),implies(X0,X3)))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(resolution,[status(thm)],[c_1530,c_57]) ).
tcf(c_14040,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(not(X0),X0),implies(X1,X0)))
| ~ is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(resolution,[status(thm)],[c_6323,c_285]) ).
tcf(c_14340,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(implies(implies(not(X0),X0),X0)),X1)),
inference(resolution,[status(thm)],[c_6325,c_191]) ).
tcf(c_14342,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(not(implies(X0,implies(not(X0),X1))),X2)),
inference(resolution,[status(thm)],[c_6325,c_193]) ).
tcf(c_18306,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
inference(resolution,[status(thm)],[c_14340,c_650]) ).
tcf(c_18555,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
inference(resolution,[status(thm)],[c_18306,c_952]) ).
tcf(c_20116,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(resolution,[status(thm)],[c_14342,c_1527]) ).
tcf(c_27293,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(not(X0),X1),implies(not(implies(implies(X1,X0),X0)),X2))),
inference(resolution,[status(thm)],[c_18555,c_887]) ).
tcf(c_27839,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(implies(not(X0),X1),X2)) ),
inference(resolution,[status(thm)],[c_20116,c_54]) ).
tcf(c_129624,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(not(X0),implies(not(not(X0)),X1))),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_129641,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(X2)
| ~ is_a_theorem(implies(implies(not(X0),X0),X1))
| ~ is_a_theorem(implies(implies(implies(not(X0),X0),X1),X2)) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_129986,plain,
is_a_theorem(implies(not(x),implies(not(not(x)),y))),
inference(instantiation,[status(thm)],[c_129624]) ).
tcf(c_130384,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_a_theorem(implies(X2,X3))
| ~ is_a_theorem(implies(implies(not(X0),X0),X1))
| ~ is_a_theorem(implies(implies(implies(not(X0),X0),X1),implies(X2,X3))) ),
inference(instantiation,[status(thm)],[c_129641]) ).
tcf(c_136756,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(not(x),implies(x,y)))
| ~ is_a_theorem(implies(implies(not(X0),X0),X1))
| ~ is_a_theorem(implies(implies(implies(not(X0),X0),X1),implies(not(x),implies(x,y)))) ),
inference(instantiation,[status(thm)],[c_130384]) ).
tcf(c_146572,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(implies(not(X0),X0),X1),implies(not(x),implies(x,y))))
| ~ is_a_theorem(implies(not(x),implies(X1,y)))
| ~ is_a_theorem(implies(x,implies(not(X0),X0))) ),
inference(instantiation,[status(thm)],[c_801]) ).
tcf(c_159238,plain,
! [X0: $i] :
( is_a_theorem(implies(implies(implies(not(X0),X0),not(not(x))),implies(not(x),implies(x,y))))
| ~ is_a_theorem(implies(x,implies(not(X0),X0)))
| ~ is_a_theorem(implies(not(x),implies(not(not(x)),y))) ),
inference(instantiation,[status(thm)],[c_146572]) ).
tcf(c_159239,plain,
( is_a_theorem(implies(implies(implies(not(x),x),not(not(x))),implies(not(x),implies(x,y))))
| ~ is_a_theorem(implies(x,implies(not(x),x)))
| ~ is_a_theorem(implies(not(x),implies(not(not(x)),y))) ),
inference(instantiation,[status(thm)],[c_159238]) ).
tcf(c_180175,plain,
! [X0: $i] :
( is_a_theorem(implies(not(x),implies(x,y)))
| ~ is_a_theorem(implies(implies(not(X0),X0),not(not(x))))
| ~ is_a_theorem(implies(implies(implies(not(X0),X0),not(not(x))),implies(not(x),implies(x,y)))) ),
inference(instantiation,[status(thm)],[c_136756]) ).
tcf(c_180176,plain,
( is_a_theorem(implies(not(x),implies(x,y)))
| ~ is_a_theorem(implies(implies(not(x),x),not(not(x))))
| ~ is_a_theorem(implies(implies(implies(not(x),x),not(not(x))),implies(not(x),implies(x,y)))) ),
inference(instantiation,[status(thm)],[c_180175]) ).
tcf(c_201956,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[c_27293,c_151]) ).
tcf(c_202458,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(implies(X1,X0),X0))),
inference(resolution,[status(thm)],[c_201956,c_27839]) ).
tcf(c_203111,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X2,implies(X0,X2)))
| ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[status(thm)],[c_202458,c_155]) ).
tcf(c_228527,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[status(thm)],[c_203111,c_57]) ).
tcf(c_231694,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(not(X0),X0),implies(X1,X0))),
inference(backward_subsumption_resolution,[status(thm)],[c_14040,c_228527]) ).
tcf(c_235854,plain,
! [X0: $i,X1: $i,X2: $i] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[status(thm)],[c_231694,c_9374]) ).
tcf(c_250505,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_a_theorem(implies(X1,X2))
| ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
inference(resolution,[status(thm)],[c_235854,c_54]) ).
tcf(c_276605,plain,
! [X0: $i] : is_a_theorem(implies(not(not(implies(not(X0),X0))),X0)),
inference(resolution,[status(thm)],[c_250505,c_7982]) ).
tcf(c_281167,plain,
! [X0: $i] : is_a_theorem(implies(X0,not(implies(not(not(X0)),not(X0))))),
inference(resolution,[status(thm)],[c_276605,c_566]) ).
tcf(c_286853,plain,
! [X0: $i] : is_a_theorem(implies(not(not(X0)),X0)),
inference(resolution,[status(thm)],[c_281167,c_5299]) ).
tcf(c_287645,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(not(X0),X0),not(not(X1))))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[c_286853,c_5310]) ).
tcf(c_287646,plain,
( is_a_theorem(implies(implies(not(x),x),not(not(x))))
| ~ is_a_theorem(implies(x,x)) ),
inference(instantiation,[status(thm)],[c_287645]) ).
tcf(c_287647,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_287646,c_180176,c_159239,c_129986,c_152,c_58,c_59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL378-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.19/0.45 % Computer : n019.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Wed Sep 23 23:05:23 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.24/0.52 Running first-order theorem proving
% 0.24/0.52 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
% 0.24/0.54
% 0.24/0.54 % ======== iProver multi-core TPTP/SMT =========
% 0.24/0.54
% 0.24/0.54 % Detected problem language: tptp
% 0.24/0.56 % Proving...
% 233.46/35.41 % SZS status Started for theBenchmark.p
% 233.46/35.41 % SZS status Unsatisfiable for theBenchmark.p
% 233.46/35.41
% 233.46/35.41 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 233.46/35.41
% 233.46/35.41 % ------ iProver source info
% 233.46/35.41
% 233.46/35.41 % git: date: 2026-07-19 20:42:38 +0200
% 233.46/35.41 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 233.46/35.41 % git: non_committed_changes: false
% 233.46/35.41
% 233.46/35.41 % ------ Parsing...% successful
% 233.46/35.41
% 233.46/35.41
% 233.46/35.41 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 233.46/35.41
% 233.46/35.41 % ------ Preprocessing... sf_s rm: 0 0s sf_e %
% 233.46/35.41
% 233.46/35.41 % ------ Preprocessing...
% 233.46/35.41 % ------ Proving...
% 233.46/35.41 % ------ Problem Properties
% 233.46/35.41
% 233.46/35.41 %
% 233.46/35.41 % clauses 5
% 233.46/35.41 % conjectures 1
% 233.46/35.41 % EPR 0
% 233.46/35.41 % Horn 5
% 233.46/35.41 % unary 4
% 233.46/35.41 % binary 0
% 233.46/35.41 % lits 7
% 233.46/35.41 % lits eq 0
% 233.46/35.41 % fd_pure 0
% 233.46/35.41 % fd_pseudo 0
% 233.46/35.41 % fd_cond 0
% 233.46/35.41 % fd_pseudo_cond 0
% 233.46/35.41 % AC symbols 0
% 233.46/35.41
% 233.46/35.41 % ------ Input Options Time Limit: Unbounded
% 233.46/35.41
% 233.46/35.41
% 233.46/35.41 % ------
% 233.46/35.41 % Current options:
% 233.46/35.41 % ------
% 233.46/35.41
% 233.46/35.41
% 233.46/35.41 %
% 233.46/35.41
% 233.46/35.41 % ------ Proving...
% 233.46/35.41 %
% 233.46/35.41
% 233.46/35.41 % SZS status Unsatisfiable for theBenchmark.p
% 233.46/35.41
% 233.46/35.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 233.46/35.41
% 233.46/35.41
%------------------------------------------------------------------------------