%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC244-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 03:08:59 PM UTC 2026
% Result : Unsatisfiable 156.57s 32.01s
% Output : CNFRefutation 156.57s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f257ERROR: Could not build tree for root c_205933ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause57) ).
fof(f60,axiom,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause60) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).
fof(f77,axiom,
! [X0] :
( nil = X0
| ssList(tl(X0))
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause77) ).
fof(f78,axiom,
! [X0] :
( nil = X0
| ssItem(hd(X0))
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause78) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f101,axiom,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( X0 = X1
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(reorient_equations,[],[f101]) ).
fof(f106,axiom,
! [X0,X1] :
( leq(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause103) ).
fof(f107,axiom,
! [X0] :
( nil = X0
| cons(hd(X0),tl(X0)) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause104) ).
fof(f143,axiom,
! [X0,X1] :
( app(X1,skaf45(X0,X1)) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause132) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
frontsegP(sk4,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
equalelemsP(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
! [X0] :
( ~ equalelemsP(X0)
| ~ segmentP(X0,sk3)
| ~ frontsegP(sk4,X0)
| ~ neq(sk3,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,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/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,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,[],[f210]) ).
fof(f216,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/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f217,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,[],[f216]) ).
fof(f218,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/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f219,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,[],[f218]) ).
fof(f222,plain,
nil != sk3,
inference(definition_unfolding,[],[f208,f205]) ).
fof(f223,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,[],[f211,f205]) ).
fof(f226,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,[],[f217,f205]) ).
fof(f227,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,[],[f219,f205]) ).
tcf(c_256,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_299,plain,
! [X0: $i,X1: $i] : ssList(skaf45(X0,X1)),
inference(cnf_transformation,[],[f51]) ).
tcf(c_305,plain,
! [X0: $i] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_308,plain,
! [X0: $i] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_322,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_325,plain,
! [X0: $i] :
( ssList(tl(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_326,plain,
! [X0: $i] :
( ssItem(hd(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_333,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_334,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_348,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_351,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_352,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(hd(X0),tl(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_380,plain,
! [X0: $i,X1: $i] :
( ( app(X1,skaf45(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_426,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,[],[f257]) ).
tcf(c_436,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_438,negated_conjecture,
frontsegP(sk4,sk3),
inference(cnf_transformation,[],[f206]) ).
tcf(c_439,negated_conjecture,
equalelemsP(sk3),
inference(cnf_transformation,[],[f207]) ).
tcf(c_440,negated_conjecture,
sk3 != nil,
inference(cnf_transformation,[],[f222]) ).
tcf(c_441,negated_conjecture,
! [X0: $i] :
( ~ equalelemsP(X0)
| ~ ssList(X0)
| ~ segmentP(X0,sk3)
| ~ neq(sk3,X0)
| ~ frontsegP(sk4,X0) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_442,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,[],[f223]) ).
tcf(c_445,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,[],[f226]) ).
tcf(c_446,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,[],[f227]) ).
tcf(c_2969,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ equalelemsP(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,sk3)
| ~ frontsegP(sk4,X0)
| ( X2 != sk3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_441,c_348]) ).
tcf(c_2970,plain,
! [X0: $i] :
( ( X0 = sk3 )
| ~ ssList(sk3)
| ~ equalelemsP(X0)
| ~ ssList(X0)
| ~ segmentP(X0,sk3)
| ~ frontsegP(sk4,X0) ),
inference(unflattening,[status(thm)],[c_2969]) ).
tcf(c_2972,plain,
! [X0: $i] :
( ( X0 = sk3 )
| ~ frontsegP(sk4,X0)
| ~ segmentP(X0,sk3)
| ~ ssList(X0)
| ~ equalelemsP(X0) ),
inference(global_subsumption_just,[status(thm)],[c_2970,c_436,c_2970]) ).
tcf(c_2973,plain,
! [X0: $i] :
( ( X0 = sk3 )
| ~ equalelemsP(X0)
| ~ ssList(X0)
| ~ segmentP(X0,sk3)
| ~ frontsegP(sk4,X0) ),
inference(renaming,[status(thm)],[c_2972]) ).
tcf(c_6964,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(X0,X2)
| ~ frontsegP(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_9568,plain,
( segmentP(sk3,sk3)
| ~ ssList(sk3) ),
inference(instantiation,[status(thm)],[c_305]) ).
tcf(c_9569,plain,
( ( sk3 = sk3 )
| ~ equalelemsP(sk3)
| ~ ssList(sk3)
| ~ segmentP(sk3,sk3)
| ~ frontsegP(sk4,sk3) ),
inference(instantiation,[status(thm)],[c_2973]) ).
tcf(c_9570,plain,
( ssList(tl(sk3))
| ( sk3 = nil )
| ~ ssList(sk3) ),
inference(instantiation,[status(thm)],[c_325]) ).
tcf(c_9571,plain,
( ssItem(hd(sk3))
| ( sk3 = nil )
| ~ ssList(sk3) ),
inference(instantiation,[status(thm)],[c_326]) ).
tcf(c_9677,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_446]) ).
tcf(c_9678,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_445]) ).
tcf(c_9681,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_442]) ).
tcf(c_9894,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssList(app(X2,cons(X0,X1)))
| ~ ssList(X2)
| ~ ssList(cons(X0,X1)) ),
inference(instantiation,[status(thm)],[c_333]) ).
tcf(c_10709,plain,
! [X0: $i,X1: $i] : ssList(skaf45(sk3,app(X0,cons(X1,nil)))),
inference(instantiation,[status(thm)],[c_299]) ).
tcf(c_10935,plain,
! [X0: $i] :
( ( app(nil,cons(X0,nil)) = cons(X0,nil) )
| ~ ssList(cons(X0,nil)) ),
inference(instantiation,[status(thm)],[c_322]) ).
tcf(c_13693,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_9681]) ).
tcf(c_13694,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_13693]) ).
tcf(c_13781,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_9677]) ).
tcf(c_13782,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_13781]) ).
tcf(c_14057,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_9678]) ).
tcf(c_14058,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_14057]) ).
tcf(c_15035,plain,
! [X0: $i] :
( ssList(cons(hd(sk3),X0))
| ~ ssList(X0)
| ~ ssItem(hd(sk3)) ),
inference(instantiation,[status(thm)],[c_334]) ).
tcf(c_15036,plain,
( ssList(cons(hd(sk3),nil))
| ~ ssList(nil)
| ~ ssItem(hd(sk3)) ),
inference(instantiation,[status(thm)],[c_15035]) ).
tcf(c_16327,plain,
( ( sk3 = nil )
| ( cons(hd(sk3),tl(sk3)) = sk3 ) ),
inference(superposition,[status(thm)],[c_436,c_352]) ).
tcf(c_16360,plain,
cons(hd(sk3),tl(sk3)) = sk3,
inference(forward_subsumption_resolution,[status(thm)],[c_16327,c_440]) ).
tcf(c_18986,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_16360,c_426]) ).
tcf(c_18998,plain,
( frontsegP(sk3,cons(hd(sk3),nil))
| ~ ssList(nil)
| ~ ssItem(hd(sk3))
| ~ ssList(tl(sk3))
| ~ frontsegP(tl(sk3),nil) ),
inference(instantiation,[status(thm)],[c_18986]) ).
tcf(c_22339,plain,
( ( app(nil,cons(hd(sk3),nil)) = cons(hd(sk3),nil) )
| ~ ssList(cons(hd(sk3),nil)) ),
inference(instantiation,[status(thm)],[c_10935]) ).
tcf(c_22379,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,cons(hd(sk3),X0)))
| ~ ssList(X1)
| ~ ssList(cons(hd(sk3),X0)) ),
inference(instantiation,[status(thm)],[c_9894]) ).
tcf(c_22382,plain,
( ssList(app(nil,cons(hd(sk3),nil)))
| ~ ssList(nil)
| ~ ssList(cons(hd(sk3),nil)) ),
inference(instantiation,[status(thm)],[c_22379]) ).
tcf(c_23910,plain,
! [X0: $i] : ssList(skaf45(sk3,app(X0,cons(hd(sk3),nil)))),
inference(instantiation,[status(thm)],[c_10709]) ).
tcf(c_23911,plain,
ssList(skaf45(sk3,app(nil,cons(hd(sk3),nil)))),
inference(instantiation,[status(thm)],[c_23910]) ).
tcf(c_63950,plain,
( frontsegP(tl(sk3),nil)
| ~ ssList(tl(sk3)) ),
inference(instantiation,[status(thm)],[c_308]) ).
tcf(c_77231,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_380]) ).
tcf(c_77232,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_77231]) ).
tcf(c_79730,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_6964]) ).
tcf(c_139729,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_79730]) ).
tcf(c_159942,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_139729]) ).
tcf(c_193969,plain,
! [X0: $i,X1: $i] :
( leq(X0,sk5(skaf45(sk3,app(X1,cons(X0,nil))),X1,X0))
| ~ ssItem(X0)
| ~ ssItem(sk5(skaf45(sk3,app(X1,cons(X0,nil))),X1,X0))
| ~ lt(X0,sk5(skaf45(sk3,app(X1,cons(X0,nil))),X1,X0)) ),
inference(instantiation,[status(thm)],[c_351]) ).
tcf(c_205930,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_193969]) ).
tcf(c_205932,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_205930]) ).
tcf(c_205933,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_205932,c_159942,c_77232,c_63950,c_23911,c_22382,c_22339,c_18998,c_15036,c_14058,c_13782,c_13694,c_9571,c_9570,c_9569,c_9568,c_440,c_438,c_256,c_436,c_439]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC244-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/10.39 % Computer : n013.cluster.edu
% 0.10/10.39 % Model : x86_64 x86_64
% 0.10/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.39 % Memory : 8046.5625MB
% 0.10/10.39 % OS : Linux 6.8.0-71-generic
% 0.10/10.39 % CPULimit : 300
% 0.10/10.39 % WCLimit : 300
% 0.10/10.39 % DateTime : Thu Sep 24 17:11:24 UTC 2026
% 0.15/10.40 % CPUTime :
% 0.15/10.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/10.43 Running first-order theorem proving
% 0.15/10.43 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
% 0.15/10.45
% 0.15/10.45 % ======== iProver multi-core TPTP/SMT =========
% 0.15/10.45
% 0.15/10.45 % Detected problem language: tptp
% 0.15/10.46 % Proving...
% 156.57/32.01 % SZS status Started for theBenchmark.p
% 156.57/32.01 % SZS status Unsatisfiable for theBenchmark.p
% 156.57/32.01
% 156.57/32.01 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 156.57/32.01
% 156.57/32.01 % ------ iProver source info
% 156.57/32.01
% 156.57/32.01 % git: date: 2026-07-19 20:42:38 +0200
% 156.57/32.01 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 156.57/32.01 % git: non_committed_changes: false
% 156.57/32.01
% 156.57/32.01 % ------ Parsing...% successful
% 156.57/32.01
% 156.57/32.01
% 156.57/32.01 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 156.57/32.01
% 156.57/32.01 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 156.57/32.01
% 156.57/32.01 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 156.57/32.01
% 156.57/32.01 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 156.57/32.01 % ------ Proving...
% 156.57/32.01 % ------ Problem Properties
% 156.57/32.01
% 156.57/32.01 %
% 156.57/32.01 % clauses 188
% 156.57/32.01 % conjectures 10
% 156.57/32.01 % EPR 58
% 156.57/32.01 % Horn 160
% 156.57/32.01 % unary 63
% 156.57/32.01 % binary 21
% 156.57/32.01 % lits 576
% 156.57/32.01 % lits eq 76
% 156.57/32.01 % fd_pure 0
% 156.57/32.01 % fd_pseudo 0
% 156.57/32.01 % fd_cond 16
% 156.57/32.01 % fd_pseudo_cond 14
% 156.57/32.01 % AC symbols 0
% 156.57/32.01
% 156.57/32.01 % ------ Input Options Time Limit: Unbounded
% 156.57/32.01
% 156.57/32.01
% 156.57/32.01 % ------
% 156.57/32.01 % Current options:
% 156.57/32.01 % ------
% 156.57/32.01
% 156.57/32.01
% 156.57/32.01 %
% 156.57/32.01
% 156.57/32.01 % ------ Proving...
% 156.57/32.01 %
% 156.57/32.01
% 156.57/32.01 % SZS status Unsatisfiable for theBenchmark.p
% 156.57/32.01
% 156.57/32.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 156.57/32.02
% 156.57/32.02
%------------------------------------------------------------------------------