%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC251-1 : 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 : n018.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 03:09:01 PM UTC 2026
% Result : Unsatisfiable 153.66s 23.44s
% Output : CNFRefutation 153.66s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f264ERROR: Could not build tree for root c_158090ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause12) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause13) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause51) ).
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(f96,axiom,
! [X0,X1] :
( tl(cons(X0,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause96) ).
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(f112,axiom,
! [X0] :
( nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause109) ).
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(f155,axiom,
! [X2,X0,X1] :
( frontsegP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause144) ).
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,
nil != sk1,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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(f229,plain,
nil != sk3,
inference(definition_unfolding,[],[f206,f205]) ).
fof(f230,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(f233,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(f234,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]) ).
fof(f246,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f155]) ).
tcf(c_260,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_264,plain,
! [X0: $i] : ssItem(skaf83(X0)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_265,plain,
! [X0: $i] : ssList(skaf82(X0)),
inference(cnf_transformation,[],[f13]) ).
tcf(c_303,plain,
! [X0: $i,X1: $i] : ssList(skaf45(X0,X1)),
inference(cnf_transformation,[],[f51]) ).
tcf(c_326,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_329,plain,
! [X0: $i] :
( ssList(tl(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_330,plain,
! [X0: $i] :
( ssItem(hd(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_337,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_338,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] :
( ( tl(cons(X1,X0)) = X0 )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_355,plain,
! [X0: $i,X1: $i] :
( leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_356,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(hd(X0),tl(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_361,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(skaf83(X0),skaf82(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_384,plain,
! [X0: $i,X1: $i] :
( ( app(X1,skaf45(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_396,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_430,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,[],[f264]) ).
tcf(c_440,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_442,negated_conjecture,
sk3 != nil,
inference(cnf_transformation,[],[f229]) ).
tcf(c_443,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,[],[f230]) ).
tcf(c_446,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,[],[f233]) ).
tcf(c_447,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,[],[f234]) ).
tcf(c_920,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_396,c_337]) ).
tcf(c_4854,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_4874,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(X0,X2)
| ~ frontsegP(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_7690,plain,
( ssList(tl(sk3))
| ( sk3 = nil )
| ~ ssList(sk3) ),
inference(instantiation,[status(thm)],[c_329]) ).
tcf(c_7691,plain,
( ssItem(hd(sk3))
| ( sk3 = nil )
| ~ ssList(sk3) ),
inference(instantiation,[status(thm)],[c_330]) ).
tcf(c_7713,plain,
( ( sk3 = nil )
| ( cons(hd(sk3),tl(sk3)) = sk3 )
| ~ ssList(sk3) ),
inference(instantiation,[status(thm)],[c_356]) ).
tcf(c_7717,plain,
( ( sk3 = nil )
| ( cons(skaf83(sk3),skaf82(sk3)) = sk3 )
| ~ ssList(sk3) ),
inference(instantiation,[status(thm)],[c_361]) ).
tcf(c_7856,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_447]) ).
tcf(c_7857,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_446]) ).
tcf(c_7860,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_443]) ).
tcf(c_8004,plain,
! [X0: $i] : app(nil,skaf82(X0)) = skaf82(X0),
inference(superposition,[status(thm)],[c_265,c_326]) ).
tcf(c_8060,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssList(app(X2,cons(X0,X1)))
| ~ ssList(X2)
| ~ ssList(cons(X0,X1)) ),
inference(instantiation,[status(thm)],[c_337]) ).
tcf(c_8320,plain,
sk3 = sk3,
inference(instantiation,[status(thm)],[c_4854]) ).
tcf(c_8457,plain,
! [X0: $i] :
( frontsegP(skaf82(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf82(X0)) ),
inference(superposition,[status(thm)],[c_8004,c_920]) ).
tcf(c_8699,plain,
! [X0: $i] :
( ssList(cons(hd(sk3),X0))
| ~ ssList(X0)
| ~ ssItem(hd(sk3)) ),
inference(instantiation,[status(thm)],[c_338]) ).
tcf(c_8700,plain,
( ssList(cons(hd(sk3),nil))
| ~ ssList(nil)
| ~ ssItem(hd(sk3)) ),
inference(instantiation,[status(thm)],[c_8699]) ).
tcf(c_8799,plain,
! [X0: $i,X1: $i] : ssList(skaf45(sk3,app(X0,cons(X1,nil)))),
inference(instantiation,[status(thm)],[c_303]) ).
tcf(c_10227,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,cons(hd(sk3),X0)))
| ~ ssList(X1)
| ~ ssList(cons(hd(sk3),X0)) ),
inference(instantiation,[status(thm)],[c_8060]) ).
tcf(c_10238,plain,
( ssList(app(nil,cons(hd(sk3),nil)))
| ~ ssList(nil)
| ~ ssList(cons(hd(sk3),nil)) ),
inference(instantiation,[status(thm)],[c_10227]) ).
tcf(c_10477,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_7860]) ).
tcf(c_10478,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_10477]) ).
tcf(c_10576,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_7856]) ).
tcf(c_10577,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_10576]) ).
tcf(c_10628,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_7857]) ).
tcf(c_10629,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_10628]) ).
tcf(c_12253,plain,
( ( sk3 = nil )
| ( cons(hd(sk3),tl(sk3)) = sk3 ) ),
inference(superposition,[status(thm)],[c_440,c_356]) ).
tcf(c_12374,plain,
cons(hd(sk3),tl(sk3)) = sk3,
inference(global_subsumption_just,[status(thm)],[c_12253,c_440,c_442,c_7713]) ).
tcf(c_15191,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_12374,c_430]) ).
tcf(c_15213,plain,
( frontsegP(sk3,cons(hd(sk3),nil))
| ~ ssList(nil)
| ~ ssItem(hd(sk3))
| ~ ssList(tl(sk3))
| ~ frontsegP(tl(sk3),nil) ),
inference(instantiation,[status(thm)],[c_15191]) ).
tcf(c_16359,plain,
! [X0: $i] : ssList(skaf45(sk3,app(X0,cons(hd(sk3),nil)))),
inference(instantiation,[status(thm)],[c_8799]) ).
tcf(c_16360,plain,
ssList(skaf45(sk3,app(nil,cons(hd(sk3),nil)))),
inference(instantiation,[status(thm)],[c_16359]) ).
tcf(c_16579,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_355]) ).
tcf(c_16580,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_16579]) ).
tcf(c_52123,plain,
! [X0: $i] : app(nil,skaf82(X0)) = skaf82(X0),
inference(superposition,[status(thm)],[c_265,c_326]) ).
tcf(c_52854,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(X0,skaf82(X1))) = skaf82(X1) )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_265,c_348]) ).
tcf(c_53353,plain,
( ( sk3 = nil )
| ( cons(skaf83(sk3),skaf82(sk3)) = sk3 ) ),
inference(superposition,[status(thm)],[c_440,c_361]) ).
tcf(c_53482,plain,
cons(skaf83(sk3),skaf82(sk3)) = sk3,
inference(global_subsumption_just,[status(thm)],[c_53353,c_440,c_442,c_7717]) ).
tcf(c_55349,plain,
! [X0: $i,X1: $i] : tl(cons(skaf83(X0),skaf82(X1))) = skaf82(X1),
inference(superposition,[status(thm)],[c_264,c_52854]) ).
tcf(c_64380,plain,
! [X0: $i] :
( frontsegP(skaf82(X0),nil)
| ~ ssList(nil)
| ~ ssList(skaf82(X0)) ),
inference(superposition,[status(thm)],[c_52123,c_920]) ).
tcf(c_64452,plain,
! [X0: $i] : frontsegP(skaf82(X0),nil),
inference(global_subsumption_just,[status(thm)],[c_64380,c_260,c_265,c_8457]) ).
tcf(c_69162,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_384]) ).
tcf(c_69163,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_69162]) ).
tcf(c_71167,plain,
! [X0: $i] :
( ( app(nil,cons(X0,nil)) = cons(X0,nil) )
| ~ ssList(cons(X0,nil)) ),
inference(instantiation,[status(thm)],[c_326]) ).
tcf(c_72419,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_4874]) ).
tcf(c_82242,plain,
skaf82(sk3) = tl(sk3),
inference(superposition,[status(thm)],[c_53482,c_55349]) ).
tcf(c_82769,plain,
frontsegP(tl(sk3),nil),
inference(superposition,[status(thm)],[c_82242,c_64452]) ).
tcf(c_103573,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_72419]) ).
tcf(c_158086,plain,
( ( app(nil,cons(hd(sk3),nil)) = cons(hd(sk3),nil) )
| ~ ssList(cons(hd(sk3),nil)) ),
inference(instantiation,[status(thm)],[c_71167]) ).
tcf(c_158089,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_103573]) ).
tcf(c_158090,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_158089,c_158086,c_82769,c_69163,c_16580,c_16360,c_15213,c_10629,c_10577,c_10478,c_10238,c_8700,c_8320,c_7691,c_7690,c_442,c_260,c_440]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC251-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n018.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 17:16:20 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 153.66/23.44 % SZS status Started for theBenchmark.p
% 153.66/23.44 % SZS status Unsatisfiable for theBenchmark.p
% 153.66/23.44
% 153.66/23.44 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 153.66/23.44
% 153.66/23.44 % ------ iProver source info
% 153.66/23.44
% 153.66/23.44 % git: date: 2026-07-19 20:42:38 +0200
% 153.66/23.44 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 153.66/23.44 % git: non_committed_changes: false
% 153.66/23.44
% 153.66/23.44 % ------ Parsing...% successful
% 153.66/23.44
% 153.66/23.44
% 153.66/23.44 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 153.66/23.44
% 153.66/23.44 % ------ 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 %
% 153.66/23.44
% 153.66/23.44 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 153.66/23.44
% 153.66/23.44 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 153.66/23.44 % ------ Proving...
% 153.66/23.44 % ------ Problem Properties
% 153.66/23.44
% 153.66/23.44 %
% 153.66/23.44 % clauses 191
% 153.66/23.44 % conjectures 14
% 153.66/23.44 % EPR 58
% 153.66/23.44 % Horn 163
% 153.66/23.44 % unary 65
% 153.66/23.44 % binary 21
% 153.66/23.44 % lits 587
% 153.66/23.44 % lits eq 80
% 153.66/23.44 % fd_pure 0
% 153.66/23.44 % fd_pseudo 0
% 153.66/23.44 % fd_cond 15
% 153.66/23.44 % fd_pseudo_cond 14
% 153.66/23.44 % AC symbols 0
% 153.66/23.44
% 153.66/23.44 % ------ Input Options Time Limit: Unbounded
% 153.66/23.44
% 153.66/23.44
% 153.66/23.44 % ------
% 153.66/23.44 % Current options:
% 153.66/23.44 % ------
% 153.66/23.44
% 153.66/23.44
% 153.66/23.44 %
% 153.66/23.44
% 153.66/23.44 % ------ Proving...
% 153.66/23.44 %
% 153.66/23.44
% 153.66/23.44 % SZS status Unsatisfiable for theBenchmark.p
% 153.66/23.44
% 153.66/23.44 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 153.66/23.44
% 153.66/23.44
%------------------------------------------------------------------------------