%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC077-1 : 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 03:07:47 PM UTC 2026
% Result : Unsatisfiable 205.75s 31.48s
% Output : CNFRefutation 124.21s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f244ERROR: Could not build tree for root c_281206ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause9) ).
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(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause56) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause57) ).
fof(f66,axiom,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause66) ).
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(f80,axiom,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause80) ).
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(f98,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause98) ).
fof(f99,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| nil != cons(X0,X1) ),
inference(reorient_equations,[],[f98]) ).
fof(f100,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause99) ).
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(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(f121,axiom,
! [X0,X1] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
file('/export/starexec/sandbox2/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(f125,axiom,
! [X0,X1] :
( app(cons(X0,nil),X1) = cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).
fof(f126,plain,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f125]) ).
fof(f129,axiom,
! [X0,X1] :
( hd(app(X1,X0)) = hd(X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause123) ).
fof(f134,axiom,
! [X0,X1] :
( X1 = X0
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause127) ).
fof(f135,plain,
! [X0,X1] :
( X0 = X1
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1) ),
inference(reorient_equations,[],[f134]) ).
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(f164,axiom,
! [X2,X0,X1] :
( segmentP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause152) ).
fof(f166,axiom,
! [X2,X0,X1] :
( frontsegP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause154) ).
fof(f169,axiom,
! [X2,X0,X1] :
( cons(X0,app(X1,X2)) = app(cons(X0,X1),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause157) ).
fof(f186,axiom,
! [X2,X3,X0,X1] :
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause172) ).
fof(f188,axiom,
! [X2,X3,X0,X1] :
( frontsegP(X1,X3)
| ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause174) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
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(f208,negated_conjecture,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
! [X0] :
( ~ strictorderedP(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,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f213,plain,
! [X0] :
( ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f208,f204,f205]) ).
fof(f214,plain,
( nil != sk3
| nil != sk4 ),
inference(definition_unfolding,[],[f210,f204,f205]) ).
fof(f226,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f155]) ).
tcf(c_252,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_253,plain,
ssItem(skac3),
inference(cnf_transformation,[],[f9]) ).
tcf(c_256,plain,
! [X0: $i] : ssItem(skaf83(X0)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_257,plain,
! [X0: $i] : ssList(skaf82(X0)),
inference(cnf_transformation,[],[f13]) ).
tcf(c_295,plain,
! [X0: $i,X1: $i] : ssList(skaf45(X0,X1)),
inference(cnf_transformation,[],[f51]) ).
tcf(c_300,plain,
! [X0: $i] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_301,plain,
! [X0: $i] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_310,plain,
! [X0: $i] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_318,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_321,plain,
! [X0: $i] :
( ssList(tl(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_322,plain,
! [X0: $i] :
( ssItem(hd(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_324,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_329,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_330,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_342,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_343,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_344,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_348,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(hd(X0),tl(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_353,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(skaf83(X0),skaf82(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_362,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_364,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X1,nil),X0) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_367,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( hd(app(X1,X0)) = hd(X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f129]) ).
tcf(c_371,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_376,plain,
! [X0: $i,X1: $i] :
( ( app(X1,skaf45(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_388,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_396,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(X0,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_398,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(X0,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
tcf(c_401,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X2,app(X0,X1)) = app(cons(X2,X0),X1) )
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_416,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_418,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(X1,X3)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_422,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,[],[f244]) ).
tcf(c_432,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_433,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_434,negated_conjecture,
frontsegP(sk4,sk3),
inference(cnf_transformation,[],[f206]) ).
tcf(c_436,negated_conjecture,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ~ neq(X0,nil) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_437,negated_conjecture,
! [X0: $i] :
( ~ strictorderedP(X0)
| ~ ssList(X0)
| ~ segmentP(X0,sk3)
| ~ neq(sk3,X0)
| ~ frontsegP(sk4,X0) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_438,negated_conjecture,
( ( sk4 != nil )
| ( sk3 != nil ) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_795,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_388,c_329]) ).
tcf(c_3002,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0)
| ( X2 != nil )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_436,c_344]) ).
tcf(c_3003,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(unflattening,[status(thm)],[c_3002]) ).
tcf(c_3005,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3003,c_252,c_3003]) ).
tcf(c_3006,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(renaming,[status(thm)],[c_3005]) ).
tcf(c_3043,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ strictorderedP(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,sk3)
| ~ frontsegP(sk4,X0)
| ( X2 != sk3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_437,c_344]) ).
tcf(c_3044,plain,
! [X0: $i] :
( ( X0 = sk3 )
| ~ ssList(sk3)
| ~ strictorderedP(X0)
| ~ ssList(X0)
| ~ segmentP(X0,sk3)
| ~ frontsegP(sk4,X0) ),
inference(unflattening,[status(thm)],[c_3043]) ).
tcf(c_3046,plain,
! [X0: $i] :
( ( X0 = sk3 )
| ~ frontsegP(sk4,X0)
| ~ segmentP(X0,sk3)
| ~ ssList(X0)
| ~ strictorderedP(X0) ),
inference(global_subsumption_just,[status(thm)],[c_3044,c_432,c_3044]) ).
tcf(c_3047,plain,
! [X0: $i] :
( ( X0 = sk3 )
| ~ strictorderedP(X0)
| ~ ssList(X0)
| ~ segmentP(X0,sk3)
| ~ frontsegP(sk4,X0) ),
inference(renaming,[status(thm)],[c_3046]) ).
tcf(c_6604,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_6606,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_6610,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(X0,X2)
| ~ segmentP(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_9134,plain,
( ssList(tl(sk4))
| ( sk4 = nil )
| ~ ssList(sk4) ),
inference(instantiation,[status(thm)],[c_321]) ).
tcf(c_9135,plain,
( ssItem(hd(sk4))
| ( sk4 = nil )
| ~ ssList(sk4) ),
inference(instantiation,[status(thm)],[c_322]) ).
tcf(c_9434,plain,
( ( sk3 = nil )
| ~ ssList(sk3)
| ~ segmentP(nil,sk3) ),
inference(instantiation,[status(thm)],[c_324]) ).
tcf(c_10056,plain,
! [X0: $i] :
( ssList(cons(skac3,X0))
| ~ ssItem(skac3)
| ~ ssList(X0) ),
inference(instantiation,[status(thm)],[c_330]) ).
tcf(c_10057,plain,
( ssList(cons(skac3,nil))
| ~ ssItem(skac3)
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_10056]) ).
tcf(c_12096,plain,
( segmentP(sk3,nil)
| ~ ssList(sk3) ),
inference(instantiation,[status(thm)],[c_300]) ).
tcf(c_15710,plain,
( ( app(sk3,skaf45(sk4,sk3)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(sk3) ),
inference(superposition,[status(thm)],[c_434,c_376]) ).
tcf(c_15733,plain,
app(sk3,skaf45(sk4,sk3)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_15710,c_433,c_432]) ).
tcf(c_16857,plain,
( ( sk3 = nil )
| ~ ssList(sk3)
| ~ ssList(skaf45(sk4,sk3))
| ( sk4 != nil ) ),
inference(superposition,[status(thm)],[c_15733,c_362]) ).
tcf(c_16865,plain,
( ( sk3 = nil )
| ( sk4 != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16857,c_432,c_295]) ).
tcf(c_16877,plain,
sk4 != nil,
inference(global_subsumption_just,[status(thm)],[c_16865,c_438,c_16865]) ).
tcf(c_17587,plain,
! [X0: $i] :
( frontsegP(X0,sk3)
| ~ ssList(sk4)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ frontsegP(X0,sk4) ),
inference(superposition,[status(thm)],[c_434,c_398]) ).
tcf(c_17610,plain,
! [X0: $i] :
( frontsegP(X0,sk3)
| ~ ssList(X0)
| ~ frontsegP(X0,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17587,c_433,c_432]) ).
tcf(c_17643,plain,
! [X0: $i] :
( frontsegP(app(sk4,X0),sk3)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0)) ),
inference(superposition,[status(thm)],[c_795,c_17610]) ).
tcf(c_17645,plain,
! [X0: $i] :
( frontsegP(app(sk4,X0),sk3)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17643,c_433]) ).
tcf(c_18796,plain,
( ( nil = sk3 )
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ segmentP(nil,sk3)
| ~ segmentP(sk3,nil) ),
inference(instantiation,[status(thm)],[c_371]) ).
tcf(c_19308,plain,
! [X0: $i] :
( ssList(cons(hd(sk4),X0))
| ~ ssList(X0)
| ~ ssItem(hd(sk4)) ),
inference(instantiation,[status(thm)],[c_330]) ).
tcf(c_19309,plain,
( ssList(cons(hd(sk4),nil))
| ~ ssList(nil)
| ~ ssItem(hd(sk4)) ),
inference(instantiation,[status(thm)],[c_19308]) ).
tcf(c_19668,plain,
! [X0: $i] :
( ( app(sk3,skaf45(app(sk4,X0),sk3)) = app(sk4,X0) )
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0)) ),
inference(superposition,[status(thm)],[c_17645,c_376]) ).
tcf(c_19671,plain,
! [X0: $i] :
( ( app(sk3,skaf45(app(sk4,X0),sk3)) = app(sk4,X0) )
| ~ ssList(X0)
| ~ ssList(app(sk4,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19668,c_432]) ).
tcf(c_20300,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(X0,X2)
| ~ ssList(X2)
| ~ segmentP(sk4,X2)
| ~ segmentP(sk3,X2)
| ~ segmentP(X1,nil)
| ( X0 != X1 ) ),
inference(resolution,[status(thm)],[c_6610,c_3006]) ).
tcf(c_21472,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,nil)
| ~ segmentP(sk4,X1)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X1)
| ~ segmentP(sk3,X0) ),
inference(resolution,[status(thm)],[c_20300,c_3006]) ).
tcf(c_21497,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ segmentP(sk4,X1)
| ~ segmentP(sk3,X1)
| ~ segmentP(X0,nil) ),
inference(resolution,[status(thm)],[c_20300,c_6604]) ).
tcf(c_21821,plain,
app(nil,sk3) = sk3,
inference(superposition,[status(thm)],[c_432,c_318]) ).
tcf(c_21848,plain,
! [X0: $i,X1: $i] : app(nil,skaf45(X0,X1)) = skaf45(X0,X1),
inference(superposition,[status(thm)],[c_295,c_318]) ).
tcf(c_22275,plain,
( ( sk3 = nil )
| ( cons(skaf83(sk3),skaf82(sk3)) = sk3 ) ),
inference(superposition,[status(thm)],[c_432,c_353]) ).
tcf(c_22313,plain,
! [X0: $i] :
( ( app(cons(X0,nil),sk4) = cons(X0,sk4) )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_433,c_364]) ).
tcf(c_22399,plain,
( ( sk3 = nil )
| ~ ssItem(skaf83(sk3))
| ~ ssList(skaf82(sk3))
| ( skaf82(sk3) != sk3 ) ),
inference(superposition,[status(thm)],[c_22275,c_343]) ).
tcf(c_22402,plain,
( ( sk3 = nil )
| ( skaf82(sk3) != sk3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22399,c_256,c_257]) ).
tcf(c_22426,plain,
app(cons(skac3,nil),sk4) = cons(skac3,sk4),
inference(superposition,[status(thm)],[c_253,c_22313]) ).
tcf(c_22778,plain,
( ( app(sk3,skaf45(sk4,sk3)) = sk4 )
| ~ ssList(sk4)
| ~ ssList(sk3) ),
inference(superposition,[status(thm)],[c_434,c_376]) ).
tcf(c_22793,plain,
app(sk3,skaf45(sk4,sk3)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_22778,c_433,c_432]) ).
tcf(c_23412,plain,
! [X0: $i] :
( frontsegP(X0,sk3)
| ~ ssList(sk4)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ frontsegP(X0,sk4) ),
inference(superposition,[status(thm)],[c_434,c_398]) ).
tcf(c_23428,plain,
! [X0: $i] :
( frontsegP(X0,sk3)
| ~ ssList(X0)
| ~ frontsegP(X0,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23412,c_433,c_432]) ).
tcf(c_23465,plain,
! [X0: $i] :
( frontsegP(app(sk4,X0),sk3)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0)) ),
inference(superposition,[status(thm)],[c_795,c_23428]) ).
tcf(c_23467,plain,
! [X0: $i] :
( frontsegP(app(sk4,X0),sk3)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23465,c_433]) ).
tcf(c_24176,plain,
! [X0: $i] :
( ( app(sk3,skaf45(app(sk4,X0),sk3)) = app(sk4,X0) )
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssList(app(sk4,X0)) ),
inference(superposition,[status(thm)],[c_23467,c_376]) ).
tcf(c_24179,plain,
! [X0: $i] :
( ( app(sk3,skaf45(app(sk4,X0),sk3)) = app(sk4,X0) )
| ~ ssList(X0)
| ~ ssList(app(sk4,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24176,c_432]) ).
tcf(c_24455,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk3,X1),X0)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk3,X0) ),
inference(superposition,[status(thm)],[c_21821,c_416]) ).
tcf(c_24484,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk3,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24455,c_252,c_432]) ).
tcf(c_24744,plain,
! [X0: $i] :
( segmentP(sk4,X0)
| ~ ssList(X0)
| ~ segmentP(sk3,X0)
| ~ ssList(skaf45(sk4,sk3)) ),
inference(superposition,[status(thm)],[c_22793,c_24484]) ).
tcf(c_24749,plain,
! [X0: $i] :
( segmentP(sk4,X0)
| ~ ssList(X0)
| ~ segmentP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24744,c_295]) ).
tcf(c_27192,plain,
! [X0: $i,X1: $i] :
( segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk3,X1)
| ~ segmentP(sk4,X1) ),
inference(global_subsumption_just,[status(thm)],[c_21472,c_300,c_21497]) ).
tcf(c_27193,plain,
! [X0: $i,X1: $i] :
( segmentP(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(sk3,X0) ),
inference(renaming,[status(thm)],[c_27192]) ).
tcf(c_27194,plain,
! [X0: $i,X1: $i] :
( segmentP(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(sk3,X0) ),
inference(global_subsumption_just,[status(thm)],[c_27193,c_24749,c_27193]) ).
tcf(c_27215,plain,
! [X0: $i] :
( segmentP(X0,sk3)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[c_27194,c_301]) ).
tcf(c_27216,plain,
( segmentP(nil,sk3)
| ~ ssList(nil)
| ~ ssList(sk3) ),
inference(instantiation,[status(thm)],[c_27215]) ).
tcf(c_28138,plain,
! [X0: $i] :
( ssList(app(sk4,X0))
| ~ ssList(sk4)
| ~ ssList(X0) ),
inference(instantiation,[status(thm)],[c_329]) ).
tcf(c_28641,plain,
sk3 = nil,
inference(global_subsumption_just,[status(thm)],[c_22402,c_432,c_252,c_9434,c_27216]) ).
tcf(c_28799,plain,
( ssList(cons(skac3,sk4))
| ~ ssList(sk4)
| ~ ssList(cons(skac3,nil)) ),
inference(superposition,[status(thm)],[c_22426,c_329]) ).
tcf(c_28815,plain,
( ssList(cons(skac3,sk4))
| ~ ssList(cons(skac3,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28799,c_433]) ).
tcf(c_37490,plain,
! [X0: $i] :
( ( app(sk3,skaf45(app(sk4,X0),sk3)) = app(sk4,X0) )
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_24179,c_433,c_19671,c_28138]) ).
tcf(c_37493,plain,
! [X0: $i] :
( ( app(nil,skaf45(app(sk4,X0),nil)) = app(sk4,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_37490,c_28641]) ).
tcf(c_37494,plain,
! [X0: $i] :
( ( skaf45(app(sk4,X0),nil) = app(sk4,X0) )
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[c_37493,c_21848]) ).
tcf(c_37499,plain,
skaf45(app(sk4,sk4),nil) = app(sk4,sk4),
inference(superposition,[status(thm)],[c_433,c_37494]) ).
tcf(c_37795,plain,
ssList(app(sk4,sk4)),
inference(superposition,[status(thm)],[c_37499,c_295]) ).
tcf(c_38832,plain,
( ( sk4 = nil )
| ( cons(hd(sk4),tl(sk4)) = sk4 ) ),
inference(superposition,[status(thm)],[c_433,c_348]) ).
tcf(c_38864,plain,
cons(hd(sk4),tl(sk4)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_38832,c_16877]) ).
tcf(c_38904,plain,
! [X0: $i] :
( ( app(cons(X0,nil),sk4) = cons(X0,sk4) )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_433,c_364]) ).
tcf(c_38980,plain,
app(cons(skac3,nil),sk4) = cons(skac3,sk4),
inference(superposition,[status(thm)],[c_253,c_38904]) ).
tcf(c_39092,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(app(X0,sk4)) = hd(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_433,c_367]) ).
tcf(c_39190,plain,
( ( sk4 = nil )
| ( hd(app(sk4,sk4)) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_433,c_39092]) ).
tcf(c_39222,plain,
hd(app(sk4,sk4)) = hd(sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_39190,c_16877]) ).
tcf(c_39223,plain,
( ssItem(hd(sk4))
| ( app(sk4,sk4) = nil )
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_39222,c_322]) ).
tcf(c_39226,plain,
( ssList(cons(skac3,sk4))
| ~ ssList(sk4)
| ~ ssList(cons(skac3,nil)) ),
inference(superposition,[status(thm)],[c_38980,c_329]) ).
tcf(c_39231,plain,
( ssList(cons(skac3,sk4))
| ~ ssList(cons(skac3,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39226,c_433]) ).
tcf(c_39235,plain,
ssList(cons(skac3,sk4)),
inference(global_subsumption_just,[status(thm)],[c_39231,c_253,c_252,c_10057,c_28815]) ).
tcf(c_40351,plain,
! [X0: $i] :
( frontsegP(sk4,cons(hd(sk4),X0))
| ~ ssList(X0)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ frontsegP(tl(sk4),X0) ),
inference(superposition,[status(thm)],[c_38864,c_422]) ).
tcf(c_40404,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(sk4,X0)) = app(cons(X1,sk4),X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_433,c_401]) ).
tcf(c_41649,plain,
! [X0: $i] :
( ( cons(X0,app(sk4,sk4)) = app(cons(X0,sk4),sk4) )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_433,c_40404]) ).
tcf(c_41686,plain,
cons(skac3,app(sk4,sk4)) = app(cons(skac3,sk4),sk4),
inference(superposition,[status(thm)],[c_253,c_41649]) ).
tcf(c_61156,plain,
( frontsegP(cons(skac3,app(sk4,sk4)),cons(skac3,sk4))
| ~ ssList(sk4)
| ~ ssList(cons(skac3,sk4)) ),
inference(superposition,[status(thm)],[c_41686,c_795]) ).
tcf(c_61181,plain,
frontsegP(cons(skac3,app(sk4,sk4)),cons(skac3,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_61156,c_433,c_39235]) ).
tcf(c_61355,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ ssItem(hd(sk4))
| ( cons(hd(sk4),X0) != nil ) ),
inference(instantiation,[status(thm)],[c_342]) ).
tcf(c_61356,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk4))
| ( cons(hd(sk4),nil) != nil ) ),
inference(instantiation,[status(thm)],[c_61355]) ).
tcf(c_62639,plain,
( frontsegP(app(sk4,sk4),sk4)
| ~ ssItem(skac3)
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_61181,c_418]) ).
tcf(c_62640,plain,
( frontsegP(app(sk4,sk4),sk4)
| ~ ssList(app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62639,c_253,c_433]) ).
tcf(c_63474,plain,
frontsegP(app(sk4,sk4),sk4),
inference(global_subsumption_just,[status(thm)],[c_62640,c_37795,c_62640]) ).
tcf(c_63477,plain,
( ( app(sk4,skaf45(app(sk4,sk4),sk4)) = app(sk4,sk4) )
| ~ ssList(sk4)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_63474,c_376]) ).
tcf(c_63480,plain,
( ( app(sk4,skaf45(app(sk4,sk4),sk4)) = app(sk4,sk4) )
| ~ ssList(app(sk4,sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_63477,c_433]) ).
tcf(c_72198,plain,
! [X0: $i] :
( ( cons(X0,nil) = sk3 )
| ~ strictorderedP(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ segmentP(cons(X0,nil),sk3)
| ~ frontsegP(sk4,cons(X0,nil)) ),
inference(instantiation,[status(thm)],[c_3047]) ).
tcf(c_80531,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X0,X1) = nil )
| ( nil != X2 )
| ( cons(X0,X1) != X2 ) ),
inference(instantiation,[status(thm)],[c_6606]) ).
tcf(c_84901,plain,
! [X0: $i,X1: $i] :
( ( cons(X0,X1) = nil )
| ( nil != sk3 )
| ( cons(X0,X1) != sk3 ) ),
inference(instantiation,[status(thm)],[c_80531]) ).
tcf(c_101299,plain,
app(sk4,skaf45(app(sk4,sk4),sk4)) = app(sk4,sk4),
inference(global_subsumption_just,[status(thm)],[c_63480,c_37795,c_63480]) ).
tcf(c_101302,plain,
( ssList(app(sk4,sk4))
| ~ ssList(sk4)
| ~ ssList(skaf45(app(sk4,sk4),sk4)) ),
inference(superposition,[status(thm)],[c_101299,c_329]) ).
tcf(c_101308,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(skaf45(app(sk4,sk4),sk4))
| ( app(sk4,sk4) != nil ) ),
inference(superposition,[status(thm)],[c_101299,c_362]) ).
tcf(c_101325,plain,
ssList(app(sk4,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_101302,c_433,c_295]) ).
tcf(c_101328,plain,
app(sk4,sk4) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_101308,c_16877,c_433,c_295]) ).
tcf(c_101394,plain,
( ssItem(hd(sk4))
| ( app(sk4,sk4) = nil ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_39223,c_101325]) ).
tcf(c_101403,plain,
ssItem(hd(sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_101394,c_101328]) ).
tcf(c_101437,plain,
! [X0: $i] :
( frontsegP(sk4,cons(hd(sk4),X0))
| ~ ssList(X0)
| ~ ssList(tl(sk4))
| ~ frontsegP(tl(sk4),X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_40351,c_101403]) ).
tcf(c_101447,plain,
( frontsegP(sk4,cons(hd(sk4),nil))
| ~ ssList(nil)
| ~ ssList(tl(sk4))
| ~ frontsegP(tl(sk4),nil) ),
inference(instantiation,[status(thm)],[c_101437]) ).
tcf(c_105407,plain,
( strictorderedP(cons(hd(sk4),nil))
| ~ ssItem(hd(sk4)) ),
inference(instantiation,[status(thm)],[c_310]) ).
tcf(c_108789,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(nil,tl(X0)) = tl(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_321,c_318]) ).
tcf(c_127450,plain,
( ( cons(hd(sk4),nil) = sk3 )
| ~ strictorderedP(cons(hd(sk4),nil))
| ~ ssList(cons(hd(sk4),nil))
| ~ segmentP(cons(hd(sk4),nil),sk3)
| ~ frontsegP(sk4,cons(hd(sk4),nil)) ),
inference(instantiation,[status(thm)],[c_72198]) ).
tcf(c_127560,plain,
! [X0: $i] :
( ( cons(hd(sk4),X0) = nil )
| ( nil != sk3 )
| ( cons(hd(sk4),X0) != sk3 ) ),
inference(instantiation,[status(thm)],[c_84901]) ).
tcf(c_127561,plain,
( ( cons(hd(sk4),nil) = nil )
| ( nil != sk3 )
| ( cons(hd(sk4),nil) != sk3 ) ),
inference(instantiation,[status(thm)],[c_127560]) ).
tcf(c_138445,plain,
( ( sk4 = nil )
| ( app(nil,tl(sk4)) = tl(sk4) ) ),
inference(superposition,[status(thm)],[c_433,c_108789]) ).
tcf(c_138525,plain,
app(nil,tl(sk4)) = tl(sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_138445,c_16877]) ).
tcf(c_145254,plain,
( frontsegP(tl(sk4),nil)
| ~ ssList(nil)
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_138525,c_795]) ).
tcf(c_145261,plain,
( frontsegP(tl(sk4),nil)
| ~ ssList(tl(sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_145254,c_252]) ).
tcf(c_275712,plain,
! [X0: $i] :
( segmentP(cons(hd(sk4),nil),sk3)
| ~ ssList(sk3)
| ~ ssList(X0)
| ~ segmentP(X0,sk3)
| ~ ssList(cons(hd(sk4),nil))
| ~ segmentP(cons(hd(sk4),nil),X0) ),
inference(instantiation,[status(thm)],[c_396]) ).
tcf(c_275715,plain,
( segmentP(cons(hd(sk4),nil),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ segmentP(nil,sk3)
| ~ ssList(cons(hd(sk4),nil))
| ~ segmentP(cons(hd(sk4),nil),nil) ),
inference(instantiation,[status(thm)],[c_275712]) ).
tcf(c_281205,plain,
( segmentP(cons(hd(sk4),nil),nil)
| ~ ssList(cons(hd(sk4),nil)) ),
inference(instantiation,[status(thm)],[c_300]) ).
tcf(c_281206,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_281205,c_275715,c_145261,c_127561,c_127450,c_105407,c_101447,c_61356,c_27216,c_19309,c_18796,c_16877,c_12096,c_9135,c_9134,c_252,c_432,c_433]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC077-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n013.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Thu Sep 24 16:15:21 UTC 2026
% 0.15/0.36 % CPUTime :
% 0.15/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 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
% 0.15/0.41
% 0.15/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.41
% 0.15/0.41 % Detected problem language: tptp
% 0.15/0.42 % Proving...
% 205.75/31.48 % SZS status Started for theBenchmark.p
% 205.75/31.48 % SZS status Unsatisfiable for theBenchmark.p
% 205.75/31.48
% 205.75/31.48 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 205.75/31.48
% 205.75/31.48 % ------ iProver source info
% 205.75/31.48
% 205.75/31.48 % git: date: 2026-07-19 20:42:38 +0200
% 205.75/31.48 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 205.75/31.48 % git: non_committed_changes: false
% 205.75/31.48
% 205.75/31.48 % ------ Parsing...% successful
% 205.75/31.48
% 205.75/31.48
% 205.75/31.48 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 205.75/31.48
% 205.75/31.48 % ------ 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 %
% 205.75/31.48
% 205.75/31.48 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 205.75/31.48
% 205.75/31.48 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 205.75/31.48 % ------ Proving...
% 205.75/31.48 % ------ Problem Properties
% 205.75/31.48
% 205.75/31.48 %
% 205.75/31.48 % clauses 184
% 205.75/31.48 % conjectures 5
% 205.75/31.48 % EPR 59
% 205.75/31.48 % Horn 156
% 205.75/31.48 % unary 62
% 205.75/31.48 % binary 22
% 205.75/31.48 % lits 556
% 205.75/31.48 % lits eq 73
% 205.75/31.48 % fd_pure 0
% 205.75/31.48 % fd_pseudo 0
% 205.75/31.48 % fd_cond 17
% 205.75/31.48 % fd_pseudo_cond 14
% 205.75/31.48 % AC symbols 0
% 205.75/31.48
% 205.75/31.48 % ------ Input Options Time Limit: Unbounded
% 205.75/31.48
% 205.75/31.48
% 205.75/31.48 % ------
% 205.75/31.48 % Current options:
% 205.75/31.48 % ------
% 205.75/31.48
% 205.75/31.48
% 205.75/31.48 %
% 205.75/31.48
% 205.75/31.48 % ------ Proving...
% 205.75/31.48 %
% 205.75/31.48
% 205.75/31.48 % SZS status Unsatisfiable for theBenchmark.p
% 205.75/31.48
% 205.75/31.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 124.21/31.50
% 124.21/31.50
%------------------------------------------------------------------------------