%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC247-1 : 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 : n020.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 113.06s 16.16s
% Output : CNFRefutation 113.06s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f257ERROR: Could not build tree for root c_86530ERROR: 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,
totalorderedP(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] :
( ~ totalorderedP(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,
totalorderedP(sk3),
inference(cnf_transformation,[],[f207]) ).
tcf(c_440,negated_conjecture,
sk3 != nil,
inference(cnf_transformation,[],[f222]) ).
tcf(c_441,negated_conjecture,
! [X0: $i] :
( ~ totalorderedP(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_3095,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ totalorderedP(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_3096,plain,
! [X0: $i] :
( ( X0 = sk3 )
| ~ ssList(sk3)
| ~ totalorderedP(X0)
| ~ ssList(X0)
| ~ segmentP(X0,sk3)
| ~ frontsegP(sk4,X0) ),
inference(unflattening,[status(thm)],[c_3095]) ).
tcf(c_3098,plain,
! [X0: $i] :
( ( X0 = sk3 )
| ~ frontsegP(sk4,X0)
| ~ segmentP(X0,sk3)
| ~ ssList(X0)
| ~ totalorderedP(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3096,c_436,c_3096]) ).
tcf(c_3099,plain,
! [X0: $i] :
( ( X0 = sk3 )
| ~ totalorderedP(X0)
| ~ ssList(X0)
| ~ segmentP(X0,sk3)
| ~ frontsegP(sk4,X0) ),
inference(renaming,[status(thm)],[c_3098]) ).
tcf(c_6734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(X0,X2)
| ~ frontsegP(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_9338,plain,
( segmentP(sk3,sk3)
| ~ ssList(sk3) ),
inference(instantiation,[status(thm)],[c_305]) ).
tcf(c_9339,plain,
( ( sk3 = sk3 )
| ~ totalorderedP(sk3)
| ~ ssList(sk3)
| ~ segmentP(sk3,sk3)
| ~ frontsegP(sk4,sk3) ),
inference(instantiation,[status(thm)],[c_3099]) ).
tcf(c_9340,plain,
( ssList(tl(sk3))
| ( sk3 = nil )
| ~ ssList(sk3) ),
inference(instantiation,[status(thm)],[c_325]) ).
tcf(c_9341,plain,
( ssItem(hd(sk3))
| ( sk3 = nil )
| ~ ssList(sk3) ),
inference(instantiation,[status(thm)],[c_326]) ).
tcf(c_9447,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_9448,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_9451,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_9664,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_10362,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(sk3,app(X0,cons(X1,nil)))
| ~ frontsegP(X3,X2)
| ( sk3 != X3 )
| ( app(X0,cons(X1,nil)) != X2 ) ),
inference(instantiation,[status(thm)],[c_6734]) ).
tcf(c_10479,plain,
! [X0: $i,X1: $i] : ssList(skaf45(sk3,app(X0,cons(X1,nil)))),
inference(instantiation,[status(thm)],[c_299]) ).
tcf(c_10705,plain,
! [X0: $i] :
( ( app(nil,cons(X0,nil)) = cons(X0,nil) )
| ~ ssList(cons(X0,nil)) ),
inference(instantiation,[status(thm)],[c_322]) ).
tcf(c_13463,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_9451]) ).
tcf(c_13464,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_13463]) ).
tcf(c_13551,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_9447]) ).
tcf(c_13552,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_13551]) ).
tcf(c_13827,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_9448]) ).
tcf(c_13828,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_13827]) ).
tcf(c_15171,plain,
! [X0: $i] :
( ssList(cons(hd(sk3),X0))
| ~ ssList(X0)
| ~ ssItem(hd(sk3)) ),
inference(instantiation,[status(thm)],[c_334]) ).
tcf(c_15172,plain,
( ssList(cons(hd(sk3),nil))
| ~ ssList(nil)
| ~ ssItem(hd(sk3)) ),
inference(instantiation,[status(thm)],[c_15171]) ).
tcf(c_16069,plain,
( ( sk3 = nil )
| ( cons(hd(sk3),tl(sk3)) = sk3 ) ),
inference(superposition,[status(thm)],[c_436,c_352]) ).
tcf(c_16102,plain,
cons(hd(sk3),tl(sk3)) = sk3,
inference(forward_subsumption_resolution,[status(thm)],[c_16069,c_440]) ).
tcf(c_17161,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(sk3,app(X0,cons(X1,nil)))
| ~ frontsegP(sk3,X2)
| ( sk3 != sk3 )
| ( app(X0,cons(X1,nil)) != X2 ) ),
inference(instantiation,[status(thm)],[c_10362]) ).
tcf(c_18695,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_16102,c_426]) ).
tcf(c_18707,plain,
( frontsegP(sk3,cons(hd(sk3),nil))
| ~ ssList(nil)
| ~ ssItem(hd(sk3))
| ~ ssList(tl(sk3))
| ~ frontsegP(tl(sk3),nil) ),
inference(instantiation,[status(thm)],[c_18695]) ).
tcf(c_22211,plain,
( ( app(nil,cons(hd(sk3),nil)) = cons(hd(sk3),nil) )
| ~ ssList(cons(hd(sk3),nil)) ),
inference(instantiation,[status(thm)],[c_10705]) ).
tcf(c_22249,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,cons(hd(sk3),X0)))
| ~ ssList(X1)
| ~ ssList(cons(hd(sk3),X0)) ),
inference(instantiation,[status(thm)],[c_9664]) ).
tcf(c_22252,plain,
( ssList(app(nil,cons(hd(sk3),nil)))
| ~ ssList(nil)
| ~ ssList(cons(hd(sk3),nil)) ),
inference(instantiation,[status(thm)],[c_22249]) ).
tcf(c_23653,plain,
! [X0: $i] : ssList(skaf45(sk3,app(X0,cons(hd(sk3),nil)))),
inference(instantiation,[status(thm)],[c_10479]) ).
tcf(c_23654,plain,
ssList(skaf45(sk3,app(nil,cons(hd(sk3),nil)))),
inference(instantiation,[status(thm)],[c_23653]) ).
tcf(c_62788,plain,
( frontsegP(tl(sk3),nil)
| ~ ssList(tl(sk3)) ),
inference(instantiation,[status(thm)],[c_308]) ).
tcf(c_79634,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_17161]) ).
tcf(c_82775,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_351]) ).
tcf(c_82800,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_82801,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_82800]) ).
tcf(c_86528,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_82775]) ).
tcf(c_86529,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_86528]) ).
tcf(c_86530,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_86529,c_82801,c_79634,c_62788,c_23654,c_22252,c_22211,c_18707,c_15172,c_13828,c_13552,c_13464,c_9341,c_9340,c_9339,c_9338,c_440,c_438,c_256,c_436,c_439]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC247-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n020.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 17:13:19 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 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
% 0.14/0.45
% 0.14/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.45
% 0.14/0.45 % Detected problem language: tptp
% 0.14/0.47 % Proving...
% 113.06/16.16 % SZS status Started for theBenchmark.p
% 113.06/16.16 % SZS status Unsatisfiable for theBenchmark.p
% 113.06/16.16
% 113.06/16.16 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 113.06/16.16
% 113.06/16.16 % ------ iProver source info
% 113.06/16.16
% 113.06/16.16 % git: date: 2026-07-19 20:42:38 +0200
% 113.06/16.16 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 113.06/16.16 % git: non_committed_changes: false
% 113.06/16.16
% 113.06/16.16 % ------ Parsing...% successful
% 113.06/16.16
% 113.06/16.16
% 113.06/16.16 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 113.06/16.16
% 113.06/16.16 % ------ 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 %
% 113.06/16.16
% 113.06/16.16 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 113.06/16.16
% 113.06/16.16 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 113.06/16.16 % ------ Proving...
% 113.06/16.16 % ------ Problem Properties
% 113.06/16.16
% 113.06/16.16 %
% 113.06/16.16 % clauses 188
% 113.06/16.16 % conjectures 10
% 113.06/16.16 % EPR 58
% 113.06/16.16 % Horn 160
% 113.06/16.16 % unary 63
% 113.06/16.16 % binary 21
% 113.06/16.16 % lits 576
% 113.06/16.16 % lits eq 76
% 113.06/16.16 % fd_pure 0
% 113.06/16.16 % fd_pseudo 0
% 113.06/16.16 % fd_cond 16
% 113.06/16.16 % fd_pseudo_cond 14
% 113.06/16.16 % AC symbols 0
% 113.06/16.16
% 113.06/16.16 % ------ Input Options Time Limit: Unbounded
% 113.06/16.16
% 113.06/16.16
% 113.06/16.16 % ------
% 113.06/16.16 % Current options:
% 113.06/16.16 % ------
% 113.06/16.16
% 113.06/16.16
% 113.06/16.16 %
% 113.06/16.16
% 113.06/16.16 % ------ Proving...
% 113.06/16.16 %
% 113.06/16.16
% 113.06/16.16 % SZS status Unsatisfiable for theBenchmark.p
% 113.06/16.16
% 113.06/16.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 113.06/16.16
% 113.06/16.16
%------------------------------------------------------------------------------