%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC327-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n013.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 03:09:19 PM UTC 2026
% Result : Unsatisfiable 2.86s 1.39s
% Output : CNFRefutation 2.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 99 ( 19 unt; 1 def)
% Number of atoms : 347 ( 160 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 469 ( 228 ~; 241 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 81 ( 0 sgn 81 !; 0 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,plain,
sk4 = app(sk3,sk5),
inference(reorient_equations,[],[f207]) ).
fof(f209,negated_conjecture,
equalelemsP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f210,negated_conjecture,
! [X2,X0,X1] :
( app(X2,cons(X0,nil)) != sk3
| ~ ssList(X2)
| app(cons(X0,nil),X1) != sk5
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f211,plain,
! [X2,X0,X1] :
( sk3 != app(X2,cons(X0,nil))
| ~ ssList(X2)
| app(cons(X0,nil),X1) != sk5
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f210]) ).
fof(f212,negated_conjecture,
( nil != sk3
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f213,negated_conjecture,
! [X0] :
( nil = sk1
| ~ equalelemsP(sk1)
| ssItem(sk6(X0))
| app(sk1,X0) != sk2
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f214,plain,
! [X0] :
( nil = sk1
| ~ equalelemsP(sk1)
| ssItem(sk6(X0))
| sk2 != app(sk1,X0)
| ~ ssList(X0) ),
inference(reorient_equations,[],[f213]) ).
fof(f215,negated_conjecture,
! [X0] :
( nil != sk2
| ~ equalelemsP(sk1)
| ssItem(sk6(X0))
| app(sk1,X0) != sk2
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f216,plain,
! [X0] :
( nil != sk2
| ~ equalelemsP(sk1)
| ssItem(sk6(X0))
| sk2 != app(sk1,X0)
| ~ ssList(X0) ),
inference(reorient_equations,[],[f215]) ).
fof(f217,negated_conjecture,
! [X0] :
( nil = sk1
| ~ equalelemsP(sk1)
| ssList(sk7(X0))
| app(sk1,X0) != sk2
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f218,plain,
! [X0] :
( nil = sk1
| ~ equalelemsP(sk1)
| ssList(sk7(X0))
| sk2 != app(sk1,X0)
| ~ ssList(X0) ),
inference(reorient_equations,[],[f217]) ).
fof(f219,negated_conjecture,
! [X0] :
( nil = sk1
| ~ equalelemsP(sk1)
| app(cons(sk6(X0),nil),sk7(X0)) = X0
| app(sk1,X0) != sk2
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f220,plain,
! [X0] :
( nil = sk1
| ~ equalelemsP(sk1)
| app(cons(sk6(X0),nil),sk7(X0)) = X0
| sk2 != app(sk1,X0)
| ~ ssList(X0) ),
inference(reorient_equations,[],[f219]) ).
fof(f221,negated_conjecture,
! [X0] :
( nil = sk1
| ~ equalelemsP(sk1)
| ssList(sk8(X0))
| app(sk1,X0) != sk2
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f222,plain,
! [X0] :
( nil = sk1
| ~ equalelemsP(sk1)
| ssList(sk8(X0))
| sk2 != app(sk1,X0)
| ~ ssList(X0) ),
inference(reorient_equations,[],[f221]) ).
fof(f223,negated_conjecture,
! [X0] :
( nil = sk1
| ~ equalelemsP(sk1)
| app(sk8(X0),cons(sk6(X0),nil)) = sk1
| app(sk1,X0) != sk2
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f224,plain,
! [X0] :
( nil = sk1
| ~ equalelemsP(sk1)
| sk1 = app(sk8(X0),cons(sk6(X0),nil))
| sk2 != app(sk1,X0)
| ~ ssList(X0) ),
inference(reorient_equations,[],[f223]) ).
fof(f225,negated_conjecture,
! [X0] :
( nil != sk2
| ~ equalelemsP(sk1)
| ssList(sk7(X0))
| app(sk1,X0) != sk2
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).
fof(f226,plain,
! [X0] :
( nil != sk2
| ~ equalelemsP(sk1)
| ssList(sk7(X0))
| sk2 != app(sk1,X0)
| ~ ssList(X0) ),
inference(reorient_equations,[],[f225]) ).
fof(f227,negated_conjecture,
! [X0] :
( nil != sk2
| ~ equalelemsP(sk1)
| app(cons(sk6(X0),nil),sk7(X0)) = X0
| app(sk1,X0) != sk2
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
fof(f228,plain,
! [X0] :
( nil != sk2
| ~ equalelemsP(sk1)
| app(cons(sk6(X0),nil),sk7(X0)) = X0
| sk2 != app(sk1,X0)
| ~ ssList(X0) ),
inference(reorient_equations,[],[f227]) ).
fof(f229,negated_conjecture,
! [X0] :
( nil != sk2
| ~ equalelemsP(sk1)
| ssList(sk8(X0))
| app(sk1,X0) != sk2
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_20) ).
fof(f230,plain,
! [X0] :
( nil != sk2
| ~ equalelemsP(sk1)
| ssList(sk8(X0))
| sk2 != app(sk1,X0)
| ~ ssList(X0) ),
inference(reorient_equations,[],[f229]) ).
fof(f231,negated_conjecture,
! [X0] :
( nil != sk2
| ~ equalelemsP(sk1)
| app(sk8(X0),cons(sk6(X0),nil)) = sk1
| app(sk1,X0) != sk2
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).
fof(f232,plain,
! [X0] :
( nil != sk2
| ~ equalelemsP(sk1)
| sk1 = app(sk8(X0),cons(sk6(X0),nil))
| sk2 != app(sk1,X0)
| ~ ssList(X0) ),
inference(reorient_equations,[],[f231]) ).
fof(f235,plain,
! [X0] :
( nil = sk3
| ~ equalelemsP(sk3)
| ssItem(sk6(X0))
| sk4 != app(sk3,X0)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f214,f204,f205,f205,f205]) ).
fof(f236,plain,
! [X0] :
( nil != sk4
| ~ equalelemsP(sk3)
| ssItem(sk6(X0))
| sk4 != app(sk3,X0)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f216,f204,f205,f205,f204]) ).
fof(f237,plain,
! [X0] :
( nil = sk3
| ~ equalelemsP(sk3)
| ssList(sk7(X0))
| sk4 != app(sk3,X0)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f218,f204,f205,f205,f205]) ).
fof(f238,plain,
! [X0] :
( nil = sk3
| ~ equalelemsP(sk3)
| app(cons(sk6(X0),nil),sk7(X0)) = X0
| sk4 != app(sk3,X0)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f220,f204,f205,f205,f205]) ).
fof(f239,plain,
! [X0] :
( nil = sk3
| ~ equalelemsP(sk3)
| ssList(sk8(X0))
| sk4 != app(sk3,X0)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f222,f204,f205,f205,f205]) ).
fof(f240,plain,
! [X0] :
( nil = sk3
| ~ equalelemsP(sk3)
| sk3 = app(sk8(X0),cons(sk6(X0),nil))
| sk4 != app(sk3,X0)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f224,f204,f205,f205,f205,f205]) ).
fof(f241,plain,
! [X0] :
( nil != sk4
| ~ equalelemsP(sk3)
| ssList(sk7(X0))
| sk4 != app(sk3,X0)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f226,f204,f205,f205,f204]) ).
fof(f242,plain,
! [X0] :
( nil != sk4
| ~ equalelemsP(sk3)
| app(cons(sk6(X0),nil),sk7(X0)) = X0
| sk4 != app(sk3,X0)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f228,f204,f205,f205,f204]) ).
fof(f243,plain,
! [X0] :
( nil != sk4
| ~ equalelemsP(sk3)
| ssList(sk8(X0))
| sk4 != app(sk3,X0)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f230,f204,f205,f205,f204]) ).
fof(f244,plain,
! [X0] :
( nil != sk4
| ~ equalelemsP(sk3)
| sk3 = app(sk8(X0),cons(sk6(X0),nil))
| sk4 != app(sk3,X0)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f232,f204,f205,f205,f205,f204]) ).
tcf(c_444,negated_conjecture,
ssList(sk5),
inference(cnf_transformation,[],[f206]) ).
tcf(c_445,negated_conjecture,
app(sk3,sk5) = sk4,
inference(cnf_transformation,[],[f208]) ).
tcf(c_446,negated_conjecture,
equalelemsP(sk3),
inference(cnf_transformation,[],[f209]) ).
tcf(c_447,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ( app(X2,cons(X0,nil)) != sk3 )
| ( app(cons(X0,nil),X1) != sk5 ) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_448,negated_conjecture,
( ( sk4 = nil )
| ( sk3 != nil ) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_449,negated_conjecture,
! [X0: $i] :
( ssItem(sk6(X0))
| ( sk3 = nil )
| ~ equalelemsP(sk3)
| ~ ssList(X0)
| ( app(sk3,X0) != sk4 ) ),
inference(cnf_transformation,[],[f235]) ).
tcf(c_450,negated_conjecture,
! [X0: $i] :
( ssItem(sk6(X0))
| ~ equalelemsP(sk3)
| ~ ssList(X0)
| ( sk4 != nil )
| ( app(sk3,X0) != sk4 ) ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_451,negated_conjecture,
! [X0: $i] :
( ssList(sk7(X0))
| ( sk3 = nil )
| ~ equalelemsP(sk3)
| ~ ssList(X0)
| ( app(sk3,X0) != sk4 ) ),
inference(cnf_transformation,[],[f237]) ).
tcf(c_452,negated_conjecture,
! [X0: $i] :
( ( sk3 = nil )
| ( app(cons(sk6(X0),nil),sk7(X0)) = X0 )
| ~ equalelemsP(sk3)
| ~ ssList(X0)
| ( app(sk3,X0) != sk4 ) ),
inference(cnf_transformation,[],[f238]) ).
tcf(c_453,negated_conjecture,
! [X0: $i] :
( ssList(sk8(X0))
| ( sk3 = nil )
| ~ equalelemsP(sk3)
| ~ ssList(X0)
| ( app(sk3,X0) != sk4 ) ),
inference(cnf_transformation,[],[f239]) ).
tcf(c_454,negated_conjecture,
! [X0: $i] :
( ( sk3 = nil )
| ( app(sk8(X0),cons(sk6(X0),nil)) = sk3 )
| ~ equalelemsP(sk3)
| ~ ssList(X0)
| ( app(sk3,X0) != sk4 ) ),
inference(cnf_transformation,[],[f240]) ).
tcf(c_455,negated_conjecture,
! [X0: $i] :
( ssList(sk7(X0))
| ~ equalelemsP(sk3)
| ~ ssList(X0)
| ( sk4 != nil )
| ( app(sk3,X0) != sk4 ) ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_456,negated_conjecture,
! [X0: $i] :
( ( app(cons(sk6(X0),nil),sk7(X0)) = X0 )
| ~ equalelemsP(sk3)
| ~ ssList(X0)
| ( sk4 != nil )
| ( app(sk3,X0) != sk4 ) ),
inference(cnf_transformation,[],[f242]) ).
tcf(c_457,negated_conjecture,
! [X0: $i] :
( ssList(sk8(X0))
| ~ equalelemsP(sk3)
| ~ ssList(X0)
| ( sk4 != nil )
| ( app(sk3,X0) != sk4 ) ),
inference(cnf_transformation,[],[f243]) ).
tcf(c_458,negated_conjecture,
! [X0: $i] :
( ( app(sk8(X0),cons(sk6(X0),nil)) = sk3 )
| ~ equalelemsP(sk3)
| ~ ssList(X0)
| ( sk4 != nil )
| ( app(sk3,X0) != sk4 ) ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_589,negated_conjecture,
! [X0: $i] :
( ssList(sk8(X0))
| ~ ssList(X0)
| ( app(sk3,X0) != sk4 ) ),
inference(global_subsumption_just,[status(thm)],[c_453,c_446,c_448,c_453,c_457]) ).
tcf(c_592,negated_conjecture,
! [X0: $i] :
( ssList(sk7(X0))
| ~ ssList(X0)
| ( app(sk3,X0) != sk4 ) ),
inference(global_subsumption_just,[status(thm)],[c_451,c_446,c_448,c_451,c_455]) ).
tcf(c_595,negated_conjecture,
! [X0: $i] :
( ssItem(sk6(X0))
| ~ ssList(X0)
| ( app(sk3,X0) != sk4 ) ),
inference(global_subsumption_just,[status(thm)],[c_449,c_446,c_448,c_449,c_450]) ).
tcf(c_598,plain,
! [X0: $i] :
( ssList(sk8(X0))
| ( app(sk3,X0) != sk4 )
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_457,c_589]) ).
tcf(c_599,negated_conjecture,
! [X0: $i] :
( ssList(sk8(X0))
| ~ ssList(X0)
| ( app(sk3,X0) != sk4 ) ),
inference(renaming,[status(thm)],[c_598]) ).
tcf(c_600,plain,
! [X0: $i] :
( ssList(sk7(X0))
| ( app(sk3,X0) != sk4 )
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_455,c_592]) ).
tcf(c_601,negated_conjecture,
! [X0: $i] :
( ssList(sk7(X0))
| ~ ssList(X0)
| ( app(sk3,X0) != sk4 ) ),
inference(renaming,[status(thm)],[c_600]) ).
tcf(c_602,plain,
! [X0: $i] :
( ssItem(sk6(X0))
| ( app(sk3,X0) != sk4 )
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_450,c_595]) ).
tcf(c_603,negated_conjecture,
! [X0: $i] :
( ssItem(sk6(X0))
| ~ ssList(X0)
| ( app(sk3,X0) != sk4 ) ),
inference(renaming,[status(thm)],[c_602]) ).
tcf(c_604,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( app(sk3,X0) != sk4 )
| ( app(sk8(X0),cons(sk6(X0),nil)) = sk3 ) ),
inference(global_subsumption_just,[status(thm)],[c_454,c_446,c_448,c_454,c_458]) ).
tcf(c_605,negated_conjecture,
! [X0: $i] :
( ( app(sk8(X0),cons(sk6(X0),nil)) = sk3 )
| ~ ssList(X0)
| ( app(sk3,X0) != sk4 ) ),
inference(renaming,[status(thm)],[c_604]) ).
tcf(c_607,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( app(sk3,X0) != sk4 )
| ( app(cons(sk6(X0),nil),sk7(X0)) = X0 ) ),
inference(global_subsumption_just,[status(thm)],[c_452,c_446,c_448,c_452,c_456]) ).
tcf(c_608,negated_conjecture,
! [X0: $i] :
( ( app(cons(sk6(X0),nil),sk7(X0)) = X0 )
| ~ ssList(X0)
| ( app(sk3,X0) != sk4 ) ),
inference(renaming,[status(thm)],[c_607]) ).
tcf(c_610,plain,
! [X0: $i] :
( ( app(sk8(X0),cons(sk6(X0),nil)) = sk3 )
| ( app(sk3,X0) != sk4 )
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_458,c_605]) ).
tcf(c_611,negated_conjecture,
! [X0: $i] :
( ( app(sk8(X0),cons(sk6(X0),nil)) = sk3 )
| ~ ssList(X0)
| ( app(sk3,X0) != sk4 ) ),
inference(renaming,[status(thm)],[c_610]) ).
tcf(c_612,plain,
! [X0: $i] :
( ( app(cons(sk6(X0),nil),sk7(X0)) = X0 )
| ( app(sk3,X0) != sk4 )
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_456,c_608]) ).
tcf(c_613,negated_conjecture,
! [X0: $i] :
( ( app(cons(sk6(X0),nil),sk7(X0)) = X0 )
| ~ ssList(X0)
| ( app(sk3,X0) != sk4 ) ),
inference(renaming,[status(thm)],[c_612]) ).
tcf(c_6717,definition,
iPr_def_12 = app(sk3,sk5),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_6718,negated_conjecture,
! [X0: $i] :
( ( app(cons(sk6(X0),nil),sk7(X0)) = X0 )
| ~ ssList(X0)
| ( app(sk3,X0) != sk4 ) ),
inference(demodulation,[status(thm)],[c_613]) ).
tcf(c_6719,negated_conjecture,
! [X0: $i] :
( ( app(sk8(X0),cons(sk6(X0),nil)) = sk3 )
| ~ ssList(X0)
| ( app(sk3,X0) != sk4 ) ),
inference(demodulation,[status(thm)],[c_611]) ).
tcf(c_6720,negated_conjecture,
! [X0: $i] :
( ssItem(sk6(X0))
| ~ ssList(X0)
| ( app(sk3,X0) != sk4 ) ),
inference(demodulation,[status(thm)],[c_603]) ).
tcf(c_6721,negated_conjecture,
! [X0: $i] :
( ssList(sk7(X0))
| ~ ssList(X0)
| ( app(sk3,X0) != sk4 ) ),
inference(demodulation,[status(thm)],[c_601]) ).
tcf(c_6722,negated_conjecture,
! [X0: $i] :
( ssList(sk8(X0))
| ~ ssList(X0)
| ( app(sk3,X0) != sk4 ) ),
inference(demodulation,[status(thm)],[c_599]) ).
tcf(c_6724,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ( app(X2,cons(X0,nil)) != sk3 )
| ( app(cons(X0,nil),X1) != sk5 ) ),
inference(demodulation,[status(thm)],[c_447]) ).
tcf(c_6726,negated_conjecture,
iPr_def_12 = sk4,
inference(demodulation,[status(thm)],[c_445,c_6717]) ).
tcf(c_6727,negated_conjecture,
ssList(sk5),
inference(demodulation,[status(thm)],[c_444]) ).
tcf(c_9310,plain,
! [X0: $i] :
( ssItem(sk6(X0))
| ~ ssList(X0)
| ( app(sk3,X0) != iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_6720,c_6726]) ).
tcf(c_9320,plain,
! [X0: $i] :
( ssList(sk7(X0))
| ~ ssList(X0)
| ( app(sk3,X0) != iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_6721,c_6726]) ).
tcf(c_9330,plain,
! [X0: $i] :
( ssList(sk8(X0))
| ~ ssList(X0)
| ( app(sk3,X0) != iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_6722,c_6726]) ).
tcf(c_9340,plain,
! [X0: $i] :
( ( app(cons(sk6(X0),nil),sk7(X0)) = X0 )
| ~ ssList(X0)
| ( app(sk3,X0) != iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_6718,c_6726]) ).
tcf(c_9350,plain,
! [X0: $i] :
( ( app(sk8(X0),cons(sk6(X0),nil)) = sk3 )
| ~ ssList(X0)
| ( app(sk3,X0) != iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_6719,c_6726]) ).
tcf(c_9374,plain,
( ( app(sk8(sk5),cons(sk6(sk5),nil)) = sk3 )
| ~ ssList(sk5) ),
inference(superposition,[status(thm)],[c_6717,c_9350]) ).
tcf(c_9375,plain,
( ( app(cons(sk6(sk5),nil),sk7(sk5)) = sk5 )
| ~ ssList(sk5) ),
inference(superposition,[status(thm)],[c_6717,c_9340]) ).
tcf(c_9376,plain,
( ssList(sk8(sk5))
| ~ ssList(sk5) ),
inference(superposition,[status(thm)],[c_6717,c_9330]) ).
tcf(c_9377,plain,
( ssList(sk7(sk5))
| ~ ssList(sk5) ),
inference(superposition,[status(thm)],[c_6717,c_9320]) ).
tcf(c_9378,plain,
( ssItem(sk6(sk5))
| ~ ssList(sk5) ),
inference(superposition,[status(thm)],[c_6717,c_9310]) ).
tcf(c_9379,plain,
ssItem(sk6(sk5)),
inference(forward_subsumption_resolution,[status(thm)],[c_9378,c_6727]) ).
tcf(c_9380,plain,
ssList(sk7(sk5)),
inference(forward_subsumption_resolution,[status(thm)],[c_9377,c_6727]) ).
tcf(c_9381,plain,
ssList(sk8(sk5)),
inference(forward_subsumption_resolution,[status(thm)],[c_9376,c_6727]) ).
tcf(c_9382,plain,
app(cons(sk6(sk5),nil),sk7(sk5)) = sk5,
inference(forward_subsumption_resolution,[status(thm)],[c_9375,c_6727]) ).
tcf(c_9383,plain,
app(sk8(sk5),cons(sk6(sk5),nil)) = sk3,
inference(forward_subsumption_resolution,[status(thm)],[c_9374,c_6727]) ).
tcf(c_9384,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ ssItem(sk6(sk5))
| ~ ssList(sk7(sk5))
| ( app(X0,cons(sk6(sk5),nil)) != sk3 ) ),
inference(superposition,[status(thm)],[c_9382,c_6724]) ).
tcf(c_9385,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( app(X0,cons(sk6(sk5),nil)) != sk3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9384,c_9379,c_9380]) ).
tcf(c_9393,plain,
~ ssList(sk8(sk5)),
inference(superposition,[status(thm)],[c_9383,c_9385]) ).
tcf(c_9394,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9393,c_9381]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC327-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.57 % Computer : n013.cluster.edu
% 0.08/0.57 % Model : x86_64 x86_64
% 0.08/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.57 % Memory : 8046.5625MB
% 0.08/0.57 % OS : Linux 6.8.0-71-generic
% 0.08/0.57 % CPULimit : 300
% 0.08/0.57 % WCLimit : 300
% 0.08/0.57 % DateTime : Thu Sep 24 17:38:36 UTC 2026
% 0.08/0.58 % CPUTime :
% 0.08/0.58 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.61 Running first-order theorem proving
% 0.13/0.61 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
% 0.13/0.62
% 0.13/0.62 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.62
% 0.13/0.62 % Detected problem language: tptp
% 0.13/0.64 % Proving...
% 2.86/1.39 % SZS status Started for theBenchmark.p
% 2.86/1.39 % SZS status Unsatisfiable for theBenchmark.p
% 2.86/1.39
% 2.86/1.39 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.86/1.39
% 2.86/1.39 % ------ iProver source info
% 2.86/1.39
% 2.86/1.39 % git: date: 2026-07-19 20:42:38 +0200
% 2.86/1.39 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.86/1.39 % git: non_committed_changes: false
% 2.86/1.39
% 2.86/1.39 % ------ Parsing...% successful
% 2.86/1.39
% 2.86/1.39
% 2.86/1.39 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.86/1.39
% 2.86/1.39 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 2.86/1.39
% 2.86/1.39 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.86/1.39
% 2.86/1.39 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.86/1.39 % ------ Proving...
% 2.86/1.39 % ------ Problem Properties
% 2.86/1.39
% 2.86/1.39 %
% 2.86/1.39 % clauses 190
% 2.86/1.39 % conjectures 12
% 2.86/1.39 % EPR 58
% 2.86/1.39 % Horn 162
% 2.86/1.39 % unary 64
% 2.86/1.39 % binary 22
% 2.86/1.39 % lits 569
% 2.86/1.39 % lits eq 82
% 2.86/1.39 % fd_pure 0
% 2.86/1.39 % fd_pseudo 0
% 2.86/1.39 % fd_cond 15
% 2.86/1.39 % fd_pseudo_cond 14
% 2.86/1.39 % AC symbols 0
% 2.86/1.39
% 2.86/1.39 % ------ Schedule dynamic 5 is on
% 2.86/1.39
% 2.86/1.39 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.86/1.39
% 2.86/1.39
% 2.86/1.39 % ------
% 2.86/1.39 % Current options:
% 2.86/1.39 % ------
% 2.86/1.39
% 2.86/1.39
% 2.86/1.39 %
% 2.86/1.39
% 2.86/1.39 % ------ Proving...
% 2.86/1.39 %
% 2.86/1.39
% 2.86/1.39 % SZS status Unsatisfiable for theBenchmark.p
% 2.86/1.39
% 2.86/1.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.86/1.39
% 2.86/1.39
%------------------------------------------------------------------------------