%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC245-1 : 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 : 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 03:09:00 PM UTC 2026
% Result : Unsatisfiable 152.27s 21.50s
% Output : CNFRefutation 152.27s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f261ERROR: Could not build tree for root c_200275ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).
fof(f60,axiom,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause60) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
fof(f77,axiom,
! [X0] :
( nil = X0
| ssList(tl(X0))
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause77) ).
fof(f78,axiom,
! [X0] :
( nil = X0
| ssItem(hd(X0))
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause78) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f106,axiom,
! [X0,X1] :
( leq(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause103) ).
fof(f107,axiom,
! [X0] :
( nil = X0
| cons(hd(X0),tl(X0)) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause104) ).
fof(f121,axiom,
! [X0,X1] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1) ),
inference(reorient_equations,[],[f121]) ).
fof(f129,axiom,
! [X0,X1] :
( hd(app(X1,X0)) = hd(X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause123) ).
fof(f143,axiom,
! [X0,X1] :
( app(X1,skaf45(X0,X1)) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause132) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
! [X2,X0,X1] :
( ssItem(sk5(X2,X1,X0))
| app(app(X1,cons(X0,nil)),X2) != sk1
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,plain,
! [X2,X0,X1] :
( ssItem(sk5(X2,X1,X0))
| sk1 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f207]) ).
fof(f213,negated_conjecture,
! [X2,X0,X1] :
( lt(X0,sk5(X2,X1,X0))
| app(app(X1,cons(X0,nil)),X2) != sk1
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f214,plain,
! [X2,X0,X1] :
( lt(X0,sk5(X2,X1,X0))
| sk1 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f213]) ).
fof(f215,negated_conjecture,
! [X2,X0,X1] :
( ~ leq(X0,sk5(X2,X1,X0))
| app(app(X1,cons(X0,nil)),X2) != sk1
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f216,plain,
! [X2,X0,X1] :
( ~ leq(X0,sk5(X2,X1,X0))
| sk1 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f215]) ).
fof(f217,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f218,negated_conjecture,
app(sk3,sk6) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f219,plain,
sk4 = app(sk3,sk6),
inference(reorient_equations,[],[f218]) ).
fof(f226,plain,
nil != sk3,
inference(definition_unfolding,[],[f206,f205]) ).
fof(f227,plain,
! [X2,X0,X1] :
( ssItem(sk5(X2,X1,X0))
| sk3 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f208,f205]) ).
fof(f230,plain,
! [X2,X0,X1] :
( lt(X0,sk5(X2,X1,X0))
| sk3 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f214,f205]) ).
fof(f231,plain,
! [X2,X0,X1] :
( ~ leq(X0,sk5(X2,X1,X0))
| sk3 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f216,f205]) ).
tcf(c_258,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_301,plain,
! [X0: $i,X1: $i] : ssList(skaf45(X0,X1)),
inference(cnf_transformation,[],[f51]) ).
tcf(c_310,plain,
! [X0: $i] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_324,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_327,plain,
! [X0: $i] :
( ssList(tl(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_328,plain,
! [X0: $i] :
( ssItem(hd(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_335,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_336,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_353,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_354,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(hd(X0),tl(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_368,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_373,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( hd(app(X1,X0)) = hd(X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_382,plain,
! [X0: $i,X1: $i] :
( ( app(X1,skaf45(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_428,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(cons(X2,X0),cons(X2,X1))
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f261]) ).
tcf(c_438,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_439,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_440,negated_conjecture,
sk3 != nil,
inference(cnf_transformation,[],[f226]) ).
tcf(c_441,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssItem(sk5(X2,X0,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(app(X0,cons(X1,nil)),X2) != sk3 ) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_444,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( lt(X1,sk5(X2,X0,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(app(X0,cons(X1,nil)),X2) != sk3 ) ),
inference(cnf_transformation,[],[f230]) ).
tcf(c_445,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ leq(X1,sk5(X2,X0,X1))
| ( app(app(X0,cons(X1,nil)),X2) != sk3 ) ),
inference(cnf_transformation,[],[f231]) ).
tcf(c_446,negated_conjecture,
ssList(sk6),
inference(cnf_transformation,[],[f217]) ).
tcf(c_447,negated_conjecture,
app(sk3,sk6) = sk4,
inference(cnf_transformation,[],[f219]) ).
tcf(c_6748,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_6768,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(X0,X2)
| ~ frontsegP(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_9360,plain,
( ssList(tl(sk3))
| ( sk3 = nil )
| ~ ssList(sk3) ),
inference(instantiation,[status(thm)],[c_327]) ).
tcf(c_9361,plain,
( ssItem(hd(sk3))
| ( sk3 = nil )
| ~ ssList(sk3) ),
inference(instantiation,[status(thm)],[c_328]) ).
tcf(c_9484,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(sk3,app(X0,cons(X1,nil))))
| ~ leq(X1,sk5(skaf45(sk3,app(X0,cons(X1,nil))),X0,X1))
| ( app(app(X0,cons(X1,nil)),skaf45(sk3,app(X0,cons(X1,nil)))) != sk3 ) ),
inference(instantiation,[status(thm)],[c_445]) ).
tcf(c_9485,plain,
! [X0: $i,X1: $i] :
( lt(X1,sk5(skaf45(sk3,app(X0,cons(X1,nil))),X0,X1))
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(sk3,app(X0,cons(X1,nil))))
| ( app(app(X0,cons(X1,nil)),skaf45(sk3,app(X0,cons(X1,nil)))) != sk3 ) ),
inference(instantiation,[status(thm)],[c_444]) ).
tcf(c_9488,plain,
! [X0: $i,X1: $i] :
( ssItem(sk5(skaf45(sk3,app(X0,cons(X1,nil))),X0,X1))
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(skaf45(sk3,app(X0,cons(X1,nil))))
| ( app(app(X0,cons(X1,nil)),skaf45(sk3,app(X0,cons(X1,nil)))) != sk3 ) ),
inference(instantiation,[status(thm)],[c_441]) ).
tcf(c_9703,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssList(app(X2,cons(X0,X1)))
| ~ ssList(X2)
| ~ ssList(cons(X0,X1)) ),
inference(instantiation,[status(thm)],[c_335]) ).
tcf(c_9990,plain,
sk3 = sk3,
inference(instantiation,[status(thm)],[c_6748]) ).
tcf(c_10765,plain,
! [X0: $i,X1: $i] : ssList(skaf45(sk3,app(X0,cons(X1,nil)))),
inference(instantiation,[status(thm)],[c_301]) ).
tcf(c_11358,plain,
! [X0: $i] :
( ( app(nil,cons(X0,nil)) = cons(X0,nil) )
| ~ ssList(cons(X0,nil)) ),
inference(instantiation,[status(thm)],[c_324]) ).
tcf(c_13396,plain,
( ( sk3 = nil )
| ~ ssList(sk6)
| ~ ssList(sk3)
| ( sk4 != nil ) ),
inference(superposition,[status(thm)],[c_447,c_368]) ).
tcf(c_13415,plain,
sk4 != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_13396,c_440,c_446,c_438]) ).
tcf(c_14096,plain,
! [X0: $i] :
( ssList(cons(hd(sk3),X0))
| ~ ssList(X0)
| ~ ssItem(hd(sk3)) ),
inference(instantiation,[status(thm)],[c_336]) ).
tcf(c_14097,plain,
( ssList(cons(hd(sk3),nil))
| ~ ssList(nil)
| ~ ssItem(hd(sk3)) ),
inference(instantiation,[status(thm)],[c_14096]) ).
tcf(c_14252,plain,
! [X0: $i] :
( ssItem(sk5(skaf45(sk3,app(X0,cons(hd(sk3),nil))),X0,hd(sk3)))
| ~ ssList(X0)
| ~ ssItem(hd(sk3))
| ~ ssList(skaf45(sk3,app(X0,cons(hd(sk3),nil))))
| ( app(app(X0,cons(hd(sk3),nil)),skaf45(sk3,app(X0,cons(hd(sk3),nil)))) != sk3 ) ),
inference(instantiation,[status(thm)],[c_9488]) ).
tcf(c_14253,plain,
( ssItem(sk5(skaf45(sk3,app(nil,cons(hd(sk3),nil))),nil,hd(sk3)))
| ~ ssList(nil)
| ~ ssItem(hd(sk3))
| ~ ssList(skaf45(sk3,app(nil,cons(hd(sk3),nil))))
| ( app(app(nil,cons(hd(sk3),nil)),skaf45(sk3,app(nil,cons(hd(sk3),nil)))) != sk3 ) ),
inference(instantiation,[status(thm)],[c_14252]) ).
tcf(c_14361,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ ssItem(hd(sk3))
| ~ ssList(skaf45(sk3,app(X0,cons(hd(sk3),nil))))
| ~ leq(hd(sk3),sk5(skaf45(sk3,app(X0,cons(hd(sk3),nil))),X0,hd(sk3)))
| ( app(app(X0,cons(hd(sk3),nil)),skaf45(sk3,app(X0,cons(hd(sk3),nil)))) != sk3 ) ),
inference(instantiation,[status(thm)],[c_9484]) ).
tcf(c_14362,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk3))
| ~ ssList(skaf45(sk3,app(nil,cons(hd(sk3),nil))))
| ~ leq(hd(sk3),sk5(skaf45(sk3,app(nil,cons(hd(sk3),nil))),nil,hd(sk3)))
| ( app(app(nil,cons(hd(sk3),nil)),skaf45(sk3,app(nil,cons(hd(sk3),nil)))) != sk3 ) ),
inference(instantiation,[status(thm)],[c_14361]) ).
tcf(c_14721,plain,
! [X0: $i] :
( lt(hd(sk3),sk5(skaf45(sk3,app(X0,cons(hd(sk3),nil))),X0,hd(sk3)))
| ~ ssList(X0)
| ~ ssItem(hd(sk3))
| ~ ssList(skaf45(sk3,app(X0,cons(hd(sk3),nil))))
| ( app(app(X0,cons(hd(sk3),nil)),skaf45(sk3,app(X0,cons(hd(sk3),nil)))) != sk3 ) ),
inference(instantiation,[status(thm)],[c_9485]) ).
tcf(c_14722,plain,
( lt(hd(sk3),sk5(skaf45(sk3,app(nil,cons(hd(sk3),nil))),nil,hd(sk3)))
| ~ ssList(nil)
| ~ ssItem(hd(sk3))
| ~ ssList(skaf45(sk3,app(nil,cons(hd(sk3),nil))))
| ( app(app(nil,cons(hd(sk3),nil)),skaf45(sk3,app(nil,cons(hd(sk3),nil)))) != sk3 ) ),
inference(instantiation,[status(thm)],[c_14721]) ).
tcf(c_15681,plain,
( ( sk3 = nil )
| ( cons(hd(sk3),tl(sk3)) = sk3 ) ),
inference(superposition,[status(thm)],[c_438,c_354]) ).
tcf(c_15716,plain,
cons(hd(sk3),tl(sk3)) = sk3,
inference(forward_subsumption_resolution,[status(thm)],[c_15681,c_440]) ).
tcf(c_15987,plain,
! [X0: $i] :
( ( sk3 = nil )
| ( hd(app(sk3,X0)) = hd(sk3) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_438,c_373]) ).
tcf(c_16022,plain,
! [X0: $i] :
( ( hd(app(sk3,X0)) = hd(sk3) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15987,c_440]) ).
tcf(c_16078,plain,
hd(app(sk3,sk6)) = hd(sk3),
inference(superposition,[status(thm)],[c_446,c_16022]) ).
tcf(c_16112,plain,
hd(sk3) = hd(sk4),
inference(light_normalisation,[status(thm)],[c_16078,c_447]) ).
tcf(c_16113,plain,
( ssItem(hd(sk3))
| ( sk4 = nil )
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_16112,c_328]) ).
tcf(c_16114,plain,
ssItem(hd(sk3)),
inference(forward_subsumption_resolution,[status(thm)],[c_16113,c_13415,c_439]) ).
tcf(c_20856,plain,
! [X0: $i] :
( frontsegP(sk3,cons(hd(sk3),X0))
| ~ ssList(X0)
| ~ ssItem(hd(sk3))
| ~ ssList(tl(sk3))
| ~ frontsegP(tl(sk3),X0) ),
inference(superposition,[status(thm)],[c_15716,c_428]) ).
tcf(c_20870,plain,
! [X0: $i] :
( frontsegP(sk3,cons(hd(sk3),X0))
| ~ ssList(X0)
| ~ ssList(tl(sk3))
| ~ frontsegP(tl(sk3),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20856,c_16114]) ).
tcf(c_20877,plain,
( frontsegP(sk3,cons(hd(sk3),nil))
| ~ ssList(nil)
| ~ ssList(tl(sk3))
| ~ frontsegP(tl(sk3),nil) ),
inference(instantiation,[status(thm)],[c_20870]) ).
tcf(c_22158,plain,
( ( app(nil,cons(hd(sk3),nil)) = cons(hd(sk3),nil) )
| ~ ssList(cons(hd(sk3),nil)) ),
inference(instantiation,[status(thm)],[c_11358]) ).
tcf(c_22195,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,cons(hd(sk3),X0)))
| ~ ssList(X1)
| ~ ssList(cons(hd(sk3),X0)) ),
inference(instantiation,[status(thm)],[c_9703]) ).
tcf(c_22198,plain,
( ssList(app(nil,cons(hd(sk3),nil)))
| ~ ssList(nil)
| ~ ssList(cons(hd(sk3),nil)) ),
inference(instantiation,[status(thm)],[c_22195]) ).
tcf(c_23724,plain,
! [X0: $i] : ssList(skaf45(sk3,app(X0,cons(hd(sk3),nil)))),
inference(instantiation,[status(thm)],[c_10765]) ).
tcf(c_23725,plain,
ssList(skaf45(sk3,app(nil,cons(hd(sk3),nil)))),
inference(instantiation,[status(thm)],[c_23724]) ).
tcf(c_62820,plain,
( frontsegP(tl(sk3),nil)
| ~ ssList(tl(sk3)) ),
inference(instantiation,[status(thm)],[c_310]) ).
tcf(c_74149,plain,
! [X0: $i] :
( ( app(app(X0,cons(hd(sk3),nil)),skaf45(sk3,app(X0,cons(hd(sk3),nil)))) = sk3 )
| ~ ssList(sk3)
| ~ ssList(app(X0,cons(hd(sk3),nil)))
| ~ frontsegP(sk3,app(X0,cons(hd(sk3),nil))) ),
inference(instantiation,[status(thm)],[c_382]) ).
tcf(c_74150,plain,
( ( app(app(nil,cons(hd(sk3),nil)),skaf45(sk3,app(nil,cons(hd(sk3),nil)))) = sk3 )
| ~ ssList(sk3)
| ~ ssList(app(nil,cons(hd(sk3),nil)))
| ~ frontsegP(sk3,app(nil,cons(hd(sk3),nil))) ),
inference(instantiation,[status(thm)],[c_74149]) ).
tcf(c_77283,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(sk3,app(X0,cons(hd(sk3),nil)))
| ~ frontsegP(X2,X1)
| ( sk3 != X2 )
| ( app(X0,cons(hd(sk3),nil)) != X1 ) ),
inference(instantiation,[status(thm)],[c_6768]) ).
tcf(c_157107,plain,
! [X0: $i,X1: $i] :
( frontsegP(sk3,app(X0,cons(hd(sk3),nil)))
| ~ frontsegP(sk3,X1)
| ( sk3 != sk3 )
| ( app(X0,cons(hd(sk3),nil)) != X1 ) ),
inference(instantiation,[status(thm)],[c_77283]) ).
tcf(c_163712,plain,
( frontsegP(sk3,app(nil,cons(hd(sk3),nil)))
| ~ frontsegP(sk3,cons(hd(sk3),nil))
| ( sk3 != sk3 )
| ( app(nil,cons(hd(sk3),nil)) != cons(hd(sk3),nil) ) ),
inference(instantiation,[status(thm)],[c_157107]) ).
tcf(c_194411,plain,
! [X0: $i,X1: $i] :
( leq(hd(sk3),sk5(X0,X1,hd(sk3)))
| ~ ssItem(hd(sk3))
| ~ ssItem(sk5(X0,X1,hd(sk3)))
| ~ lt(hd(sk3),sk5(X0,X1,hd(sk3))) ),
inference(instantiation,[status(thm)],[c_353]) ).
tcf(c_200273,plain,
! [X0: $i] :
( leq(hd(sk3),sk5(skaf45(sk3,app(X0,cons(hd(sk3),nil))),X0,hd(sk3)))
| ~ ssItem(hd(sk3))
| ~ ssItem(sk5(skaf45(sk3,app(X0,cons(hd(sk3),nil))),X0,hd(sk3)))
| ~ lt(hd(sk3),sk5(skaf45(sk3,app(X0,cons(hd(sk3),nil))),X0,hd(sk3))) ),
inference(instantiation,[status(thm)],[c_194411]) ).
tcf(c_200274,plain,
( leq(hd(sk3),sk5(skaf45(sk3,app(nil,cons(hd(sk3),nil))),nil,hd(sk3)))
| ~ ssItem(hd(sk3))
| ~ ssItem(sk5(skaf45(sk3,app(nil,cons(hd(sk3),nil))),nil,hd(sk3)))
| ~ lt(hd(sk3),sk5(skaf45(sk3,app(nil,cons(hd(sk3),nil))),nil,hd(sk3))) ),
inference(instantiation,[status(thm)],[c_200273]) ).
tcf(c_200275,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_200274,c_163712,c_74150,c_62820,c_23725,c_22198,c_22158,c_20877,c_14722,c_14362,c_14253,c_14097,c_9990,c_9361,c_9360,c_440,c_258,c_438]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC245-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 17:12:05 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 152.27/21.50 % SZS status Started for theBenchmark.p
% 152.27/21.50 % SZS status Unsatisfiable for theBenchmark.p
% 152.27/21.50
% 152.27/21.50 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 152.27/21.50
% 152.27/21.50 % ------ iProver source info
% 152.27/21.50
% 152.27/21.50 % git: date: 2026-07-19 20:42:38 +0200
% 152.27/21.50 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 152.27/21.50 % git: non_committed_changes: false
% 152.27/21.50
% 152.27/21.50 % ------ Parsing...% successful
% 152.27/21.50
% 152.27/21.50
% 152.27/21.50 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 152.27/21.50
% 152.27/21.50 % ------ 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 %
% 152.27/21.50
% 152.27/21.50 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 152.27/21.50
% 152.27/21.50 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 152.27/21.50 % ------ Proving...
% 152.27/21.50 % ------ Problem Properties
% 152.27/21.50
% 152.27/21.50 %
% 152.27/21.50 % clauses 189
% 152.27/21.50 % conjectures 12
% 152.27/21.50 % EPR 57
% 152.27/21.50 % Horn 161
% 152.27/21.50 % unary 64
% 152.27/21.50 % binary 21
% 152.27/21.50 % lits 577
% 152.27/21.51 % lits eq 78
% 152.27/21.51 % fd_pure 0
% 152.27/21.51 % fd_pseudo 0
% 152.27/21.51 % fd_cond 15
% 152.27/21.51 % fd_pseudo_cond 14
% 152.27/21.51 % AC symbols 0
% 152.27/21.51
% 152.27/21.51 % ------ Input Options Time Limit: Unbounded
% 152.27/21.51
% 152.27/21.51
% 152.27/21.51 % ------
% 152.27/21.51 % Current options:
% 152.27/21.51 % ------
% 152.27/21.51
% 152.27/21.51
% 152.27/21.51 %
% 152.27/21.51
% 152.27/21.51 % ------ Proving...
% 152.27/21.51 %
% 152.27/21.51
% 152.27/21.51 % SZS status Unsatisfiable for theBenchmark.p
% 152.27/21.51
% 152.27/21.51 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 152.27/21.51
% 152.27/21.51
%------------------------------------------------------------------------------