%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC164+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 : n008.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 03:08:08 PM UTC 2026
% Result : Theorem 37.84s 7.08s
% Output : CNFRefutation 37.84s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f549ERROR: Could not build tree for root c_139326ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax1) ).
fof(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax5) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax18) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax23) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(f41,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( frontsegP(X1,X0)
& frontsegP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax41) ).
fof(f45,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax45) ).
fof(f46,axiom,
! [X0] :
( ssList(X0)
=> ( frontsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax46) ).
fof(f76,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( tl(X0) = X1
& ssList(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax76) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax78) ).
fof(f79,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X2,X1) = app(X0,X1)
=> X2 = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax79) ).
fof(f80,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X1,X2) = app(X1,X0)
=> X2 = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax80) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax83) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(f85,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> hd(app(X0,X1)) = hd(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax85) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( ( nil != X2
| nil != X3 )
& ! [X8] :
( ? [X9] :
( leq(X9,X8)
& memberP(X3,X9)
& X8 != X9
& ssItem(X9) )
| ~ memberP(X3,X8)
| cons(X8,nil) != X2
| ~ ssItem(X8) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( neq(X4,X5)
| app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0
| ~ ssList(X7) ) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( ( nil != X2
| nil != X3 )
& ! [X8] :
( ? [X9] :
( leq(X9,X8)
& memberP(X3,X9)
& X8 != X9
& ssItem(X9) )
| ~ memberP(X3,X8)
| cons(X8,nil) != X2
| ~ ssItem(X8) ) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ! [X7] :
( neq(X4,X5)
| app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) != X0
| ~ ssList(X7) ) ) ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( neq(X0,X1)
<=> X0 != X1 ) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f101,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f119,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ssList(cons(X1,X0)) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f120,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,X0) != X0 ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f128,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f132,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ssList(app(X0,X1)) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f151,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f152,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ) ),
inference(flattening,[],[f151]) ).
fof(f157,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
inference(ennf_transformation,[],[f45]) ).
fof(f158,plain,
! [X0] :
( ~ ssList(X0)
| ( frontsegP(nil,X0)
<=> nil = X0 ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f188,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ? [X1] :
( tl(X0) = X1
& ssList(X1) ) ),
inference(ennf_transformation,[],[f76]) ).
fof(f189,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ? [X1] :
( tl(X0) = X1
& ssList(X1) ) ),
inference(flattening,[],[f188]) ).
fof(f192,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(ennf_transformation,[],[f78]) ).
fof(f193,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(flattening,[],[f192]) ).
fof(f194,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| app(X2,X1) != app(X0,X1)
| X2 = X0 ) ) ),
inference(ennf_transformation,[],[f79]) ).
fof(f195,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| app(X2,X1) != app(X0,X1)
| X2 = X0 ) ) ),
inference(flattening,[],[f194]) ).
fof(f196,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| app(X1,X2) != app(X1,X0)
| X2 = X0 ) ) ),
inference(ennf_transformation,[],[f80]) ).
fof(f197,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| app(X1,X2) != app(X1,X0)
| X2 = X0 ) ) ),
inference(flattening,[],[f196]) ).
fof(f200,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
inference(ennf_transformation,[],[f83]) ).
fof(f201,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(ennf_transformation,[],[f84]) ).
fof(f202,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| nil = X0
| hd(app(X0,X1)) = hd(X0) ) ),
inference(ennf_transformation,[],[f85]) ).
fof(f203,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| nil = X0
| hd(app(X0,X1)) = hd(X0) ) ),
inference(flattening,[],[f202]) ).
fof(f221,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X8] :
( ! [X9] :
( ~ leq(X9,X8)
| ~ memberP(X3,X9)
| X8 = X9
| ~ ssItem(X9) )
& memberP(X3,X8)
& cons(X8,nil) = X2
& ssItem(X8) ) )
& ? [X4] :
( ssItem(X4)
& ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssList(X6)
& ? [X7] :
( ~ neq(X4,X5)
& app(app(app(X6,cons(X4,nil)),cons(X5,nil)),X7) = X0
& ssList(X7) ) ) ) )
& X0 = X2
& X1 = X3
& ssList(X3) ) ) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f231,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ neq(X0,X1)
| X0 != X1 )
& ( X0 = X1
| neq(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f98]) ).
fof(f239,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ frontsegP(X0,X1)
| ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) )
& ( ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) )
| frontsegP(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f101]) ).
fof(f240,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ frontsegP(X0,X1)
| ? [X3] :
( app(X1,X3) = X0
& ssList(X3) ) )
& ( ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) )
| frontsegP(X0,X1) ) ) ) ),
inference(rectify,[],[f239]) ).
fof(f241,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ frontsegP(X0,X1)
| ( app(X1,sK11(X0,X1)) = X0
& ssList(sK11(X0,X1)) ) )
& ( ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) )
| frontsegP(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X3,sK11(X0,X1))],[f240]) ).
fof(f282,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ frontsegP(nil,X0)
| nil = X0 )
& ( nil != X0
| frontsegP(nil,X0) ) ) ),
inference(nnf_transformation,[],[f158]) ).
fof(f290,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ( tl(X0) = sK52(X0)
& ssList(sK52(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52]),skolemize(X1,sK52(X0))],[f189]) ).
fof(f291,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( nil != app(X0,X1)
| ( nil = X0
& nil = X1 ) )
& ( nil != X0
| nil != X1
| nil = app(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f200]) ).
fof(f292,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( nil != app(X0,X1)
| ( nil = X0
& nil = X1 ) )
& ( nil != X0
| nil != X1
| nil = app(X0,X1) ) ) ) ),
inference(flattening,[],[f291]) ).
fof(f295,plain,
( ssList(sK53)
& ssList(sK54)
& ssList(sK55)
& ( ( nil = sK55
& nil = sK56 )
| ( ! [X9] :
( ~ leq(X9,sK61)
| ~ memberP(sK56,X9)
| sK61 = X9
| ~ ssItem(X9) )
& memberP(sK56,sK61)
& sK55 = cons(sK61,nil)
& ssItem(sK61) ) )
& ssItem(sK57)
& ssItem(sK58)
& ssList(sK59)
& ~ neq(sK57,sK58)
& sK53 = app(app(app(sK59,cons(sK57,nil)),cons(sK58,nil)),sK60)
& ssList(sK60)
& sK53 = sK55
& sK54 = sK56
& ssList(sK56) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60,sK61]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56),skolemize(X4,sK57),skolemize(X5,sK58),skolemize(X6,sK59),skolemize(X7,sK60),skolemize(X8,sK61)],[f221]) ).
fof(f297,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 = X1
| neq(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f310,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X2) != X0
| ~ ssList(X2)
| frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f241]) ).
fof(f387,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
inference(cnf_transformation,[],[f119]) ).
fof(f388,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f389,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) != X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f397,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f128]) ).
fof(f400,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f132]) ).
fof(f421,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f152]) ).
fof(f427,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
inference(cnf_transformation,[],[f157]) ).
fof(f428,plain,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ),
inference(cnf_transformation,[],[f282]) ).
fof(f470,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| tl(X0) = sK52(X0) ),
inference(cnf_transformation,[],[f290]) ).
fof(f471,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(sK52(X0)) ),
inference(cnf_transformation,[],[f290]) ).
fof(f473,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f474,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X2,X1) != app(X0,X1)
| X0 = X2 ),
inference(cnf_transformation,[],[f195]) ).
fof(f475,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(X1,X2) != app(X1,X0)
| X0 = X2 ),
inference(cnf_transformation,[],[f197]) ).
fof(f478,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1)
| nil = X0 ),
inference(cnf_transformation,[],[f292]) ).
fof(f479,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1)
| nil = X1 ),
inference(cnf_transformation,[],[f292]) ).
fof(f481,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f201]) ).
fof(f482,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X0
| hd(X0) = hd(app(X0,X1)) ),
inference(cnf_transformation,[],[f203]) ).
fof(f495,plain,
ssList(sK53),
inference(cnf_transformation,[],[f295]) ).
fof(f502,plain,
( nil = sK55
| sK55 = cons(sK61,nil) ),
inference(cnf_transformation,[],[f295]) ).
fof(f504,plain,
( nil = sK55
| ssItem(sK61) ),
inference(cnf_transformation,[],[f295]) ).
fof(f506,plain,
ssItem(sK57),
inference(cnf_transformation,[],[f295]) ).
fof(f507,plain,
ssItem(sK58),
inference(cnf_transformation,[],[f295]) ).
fof(f508,plain,
ssList(sK59),
inference(cnf_transformation,[],[f295]) ).
fof(f509,plain,
~ neq(sK57,sK58),
inference(cnf_transformation,[],[f295]) ).
fof(f510,plain,
sK53 = app(app(app(sK59,cons(sK57,nil)),cons(sK58,nil)),sK60),
inference(cnf_transformation,[],[f295]) ).
fof(f511,plain,
ssList(sK60),
inference(cnf_transformation,[],[f295]) ).
fof(f512,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f295]) ).
fof(f515,plain,
sK55 = app(app(app(sK59,cons(sK57,nil)),cons(sK58,nil)),sK60),
inference(definition_unfolding,[],[f510,f512]) ).
fof(f517,plain,
ssList(sK55),
inference(definition_unfolding,[],[f495,f512]) ).
fof(f521,plain,
! [X2,X1] :
( ~ ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(app(X1,X2),X1) ),
inference(equality_resolution,[],[f310]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( neq(X0,X1)
| ( X0 = X1 )
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f297]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f521]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f387]) ).
tcf(c_141,plain,
ssList(nil),
inference(cnf_transformation,[],[f388]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f389]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f397]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f400]) ).
tcf(c_174,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f421]) ).
tcf(c_177,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(cons(X2,X0),cons(X2,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f549]) ).
tcf(c_180,plain,
! [X0: $i] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f427]) ).
tcf(c_182,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(cnf_transformation,[],[f428]) ).
tcf(c_221,plain,
! [X0: $i] :
( ssList(sK52(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f471]) ).
tcf(c_222,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(X0) = sK52(X0) )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f470]) ).
tcf(c_224,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(hd(X0),tl(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f473]) ).
tcf(c_225,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != app(X2,X1) ) ),
inference(cnf_transformation,[],[f474]) ).
tcf(c_226,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != app(X0,X2) ) ),
inference(cnf_transformation,[],[f475]) ).
tcf(c_230,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f479]) ).
tcf(c_231,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f478]) ).
tcf(c_232,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f481]) ).
tcf(c_233,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ( hd(app(X0,X1)) = hd(X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f482]) ).
tcf(c_247,negated_conjecture,
ssList(sK60),
inference(cnf_transformation,[],[f511]) ).
tcf(c_248,negated_conjecture,
app(app(app(sK59,cons(sK57,nil)),cons(sK58,nil)),sK60) = sK55,
inference(cnf_transformation,[],[f515]) ).
tcf(c_249,negated_conjecture,
~ neq(sK57,sK58),
inference(cnf_transformation,[],[f509]) ).
tcf(c_250,negated_conjecture,
ssList(sK59),
inference(cnf_transformation,[],[f508]) ).
tcf(c_251,negated_conjecture,
ssItem(sK58),
inference(cnf_transformation,[],[f507]) ).
tcf(c_252,negated_conjecture,
ssItem(sK57),
inference(cnf_transformation,[],[f506]) ).
tcf(c_254,negated_conjecture,
( ssItem(sK61)
| ( nil = sK55 ) ),
inference(cnf_transformation,[],[f504]) ).
tcf(c_256,negated_conjecture,
( ( nil = sK55 )
| ( cons(sK61,nil) = sK55 ) ),
inference(cnf_transformation,[],[f502]) ).
tcf(c_263,negated_conjecture,
ssList(sK55),
inference(cnf_transformation,[],[f517]) ).
tcf(c_387,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_61,c_153,c_61]) ).
tcf(c_3316,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssItem(X1)
| ~ ssItem(X0)
| ( X1 != sK58 )
| ( X0 != sK57 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_249]) ).
tcf(c_3317,plain,
( ( sK57 = sK58 )
| ~ ssItem(sK58)
| ~ ssItem(sK57) ),
inference(unflattening,[status(thm)],[c_3316]) ).
tcf(c_3318,plain,
sK57 = sK58,
inference(global_subsumption_just,[status(thm)],[c_3317,c_252,c_251,c_3317]) ).
tcf(c_6678,plain,
app(app(app(sK59,cons(sK57,nil)),cons(sK57,nil)),sK60) = sK55,
inference(light_normalisation,[status(thm)],[c_248,c_3318]) ).
tcf(c_13121,definition,
iPr_def_10 = cons(sK57,nil),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_13122,definition,
iPr_def_11 = app(sK59,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_13123,definition,
iPr_def_12 = app(iPr_def_11,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_13124,definition,
iPr_def_13 = app(iPr_def_12,sK60),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_13125,definition,
iPr_def_14 = cons(sK61,nil),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_13126,plain,
iPr_def_13 = sK55,
inference(demodulation,[status(thm)],[c_6678,c_13121,c_13122,c_13123,c_13124]) ).
tcf(c_13128,negated_conjecture,
ssList(sK55),
inference(demodulation,[status(thm)],[c_263]) ).
tcf(c_13133,negated_conjecture,
( ( iPr_def_14 = sK55 )
| ( nil = sK55 ) ),
inference(demodulation,[status(thm)],[c_256,c_13125]) ).
tcf(c_13135,negated_conjecture,
( ssItem(sK61)
| ( nil = sK55 ) ),
inference(demodulation,[status(thm)],[c_254]) ).
tcf(c_13137,negated_conjecture,
ssItem(sK57),
inference(demodulation,[status(thm)],[c_252]) ).
tcf(c_13138,negated_conjecture,
ssList(sK59),
inference(demodulation,[status(thm)],[c_250]) ).
tcf(c_13139,negated_conjecture,
ssList(sK60),
inference(demodulation,[status(thm)],[c_247]) ).
tcf(c_16052,plain,
ssList(iPr_def_13),
inference(light_normalisation,[status(thm)],[c_13128,c_13126]) ).
tcf(c_16053,plain,
( ssItem(sK61)
| ( nil = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_13135,c_13126]) ).
tcf(c_16071,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( nil = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_13133,c_13126]) ).
tcf(c_16924,plain,
app(sK59,nil) = sK59,
inference(superposition,[status(thm)],[c_13138,c_232]) ).
tcf(c_16987,plain,
( ssList(iPr_def_10)
| ~ ssList(nil)
| ~ ssItem(sK57) ),
inference(superposition,[status(thm)],[c_13121,c_140]) ).
tcf(c_16996,plain,
ssList(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_16987,c_141,c_13137]) ).
tcf(c_17110,plain,
( ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ~ ssList(sK59) ),
inference(superposition,[status(thm)],[c_13122,c_153]) ).
tcf(c_17111,plain,
( ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_13123,c_153]) ).
tcf(c_17129,plain,
( ssList(iPr_def_12)
| ~ ssList(iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17111,c_16996]) ).
tcf(c_17132,plain,
ssList(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_17110,c_16996,c_13138]) ).
tcf(c_17133,plain,
ssList(iPr_def_12),
inference(backward_subsumption_resolution,[status(thm)],[c_17129,c_17132]) ).
tcf(c_17481,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_14 )
| ( X0 = nil )
| ~ ssList(X0)
| ~ frontsegP(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_16071,c_182]) ).
tcf(c_17720,plain,
( frontsegP(iPr_def_12,iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10) ),
inference(superposition,[status(thm)],[c_13123,c_387]) ).
tcf(c_17721,plain,
( frontsegP(iPr_def_13,iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(sK60) ),
inference(superposition,[status(thm)],[c_13124,c_387]) ).
tcf(c_17767,plain,
frontsegP(iPr_def_13,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_17721,c_17133,c_13139]) ).
tcf(c_17768,plain,
frontsegP(iPr_def_12,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_17720,c_17132,c_16996]) ).
tcf(c_17891,plain,
( ~ ssList(nil)
| ~ ssItem(sK57)
| ( nil != iPr_def_10 ) ),
inference(superposition,[status(thm)],[c_13121,c_142]) ).
tcf(c_17898,plain,
nil != iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_17891,c_141,c_13137]) ).
tcf(c_18068,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_17767,c_17481]) ).
tcf(c_18069,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( nil = iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18068,c_17133]) ).
tcf(c_18924,plain,
( ( nil = iPr_def_11 )
| ( tl(iPr_def_11) = sK52(iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_17132,c_222]) ).
tcf(c_18925,plain,
( ( nil = iPr_def_12 )
| ( tl(iPr_def_12) = sK52(iPr_def_12) ) ),
inference(superposition,[status(thm)],[c_17133,c_222]) ).
tcf(c_20646,plain,
( ( nil = iPr_def_11 )
| ( cons(hd(iPr_def_11),tl(iPr_def_11)) = iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_17132,c_224]) ).
tcf(c_20647,plain,
( ( nil = iPr_def_12 )
| ( cons(hd(iPr_def_12),tl(iPr_def_12)) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_17133,c_224]) ).
tcf(c_21886,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ( nil != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_13122,c_230]) ).
tcf(c_21887,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_11)
| ~ ssList(iPr_def_10)
| ( nil != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_13123,c_230]) ).
tcf(c_21888,plain,
( ( nil = sK60 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK60)
| ( nil != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_13124,c_230]) ).
tcf(c_21920,plain,
( ( nil = sK60 )
| ( nil != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21888,c_17133,c_13139]) ).
tcf(c_21923,plain,
nil != iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_21887,c_17898,c_17132,c_16996]) ).
tcf(c_21924,plain,
nil != iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_21886,c_17898,c_16996,c_13138]) ).
tcf(c_21925,plain,
iPr_def_13 = iPr_def_14,
inference(backward_subsumption_resolution,[status(thm)],[c_18069,c_21923]) ).
tcf(c_21947,plain,
cons(sK61,nil) = iPr_def_13,
inference(demodulation,[status(thm)],[c_13125,c_21925]) ).
tcf(c_21990,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sK60)
| ( nil != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_13124,c_231]) ).
tcf(c_22005,plain,
( ( nil = iPr_def_12 )
| ( nil != iPr_def_13 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21990,c_17133,c_13139]) ).
tcf(c_22170,plain,
nil != iPr_def_13,
inference(global_subsumption_just,[status(thm)],[c_21920,c_21923,c_22005]) ).
tcf(c_22174,plain,
ssItem(sK61),
inference(backward_subsumption_resolution,[status(thm)],[c_16053,c_22170]) ).
tcf(c_22408,plain,
! [X0: $i] :
( ( hd(cons(sK61,X0)) = sK61 )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_22174,c_150]) ).
tcf(c_22962,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(superposition,[status(thm)],[c_17768,c_174]) ).
tcf(c_22963,plain,
( ( iPr_def_12 = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_12)
| ~ frontsegP(iPr_def_12,iPr_def_13) ),
inference(superposition,[status(thm)],[c_17767,c_174]) ).
tcf(c_22988,plain,
( ( iPr_def_12 = iPr_def_13 )
| ~ frontsegP(iPr_def_12,iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22963,c_16052,c_17133]) ).
tcf(c_22991,plain,
( ( iPr_def_11 = iPr_def_12 )
| ~ frontsegP(iPr_def_11,iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22962,c_17133,c_17132]) ).
tcf(c_23620,plain,
! [X0: $i] :
( ( nil = iPr_def_11 )
| ( hd(app(iPr_def_11,X0)) = hd(iPr_def_11) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_17132,c_233]) ).
tcf(c_23621,plain,
! [X0: $i] :
( ( nil = iPr_def_12 )
| ( hd(app(iPr_def_12,X0)) = hd(iPr_def_12) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_17133,c_233]) ).
tcf(c_23630,plain,
! [X0: $i] :
( ( hd(app(iPr_def_12,X0)) = hd(iPr_def_12) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23621,c_21923]) ).
tcf(c_23633,plain,
! [X0: $i] :
( ( hd(app(iPr_def_11,X0)) = hd(iPr_def_11) )
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23620,c_21924]) ).
tcf(c_26195,plain,
! [X0: $i] :
( frontsegP(cons(sK61,X0),iPr_def_13)
| ~ ssList(nil)
| ~ ssItem(sK61)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(superposition,[status(thm)],[c_21947,c_177]) ).
tcf(c_26196,plain,
! [X0: $i] :
( frontsegP(cons(sK61,X0),iPr_def_13)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26195,c_141,c_22174]) ).
tcf(c_29532,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(iPr_def_10)
| ~ ssList(sK59)
| ~ ssList(X0)
| ( app(X0,iPr_def_10) != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_13122,c_225]) ).
tcf(c_29637,plain,
! [X0: $i] :
( ( X0 = sK59 )
| ~ ssList(X0)
| ( app(X0,iPr_def_10) != iPr_def_11 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29532,c_16996,c_13138]) ).
tcf(c_29953,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(sK59)
| ~ ssList(nil)
| ~ ssList(X0)
| ( app(sK59,X0) != sK59 ) ),
inference(superposition,[status(thm)],[c_16924,c_226]) ).
tcf(c_30008,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(sK59,X0) != sK59 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29953,c_13138,c_141]) ).
tcf(c_33747,plain,
( ( sK59 = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ( iPr_def_11 != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_13123,c_29637]) ).
tcf(c_33752,plain,
( ( sK59 = iPr_def_11 )
| ( iPr_def_11 != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33747,c_17132]) ).
tcf(c_33768,plain,
( ( nil = iPr_def_10 )
| ~ ssList(iPr_def_10)
| ( sK59 != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_13122,c_30008]) ).
tcf(c_33774,plain,
sK59 != iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_33768,c_17898,c_16996]) ).
tcf(c_38705,plain,
~ frontsegP(iPr_def_11,iPr_def_12),
inference(global_subsumption_just,[status(thm)],[c_22991,c_22991,c_33752,c_33774]) ).
tcf(c_42019,plain,
tl(iPr_def_11) = sK52(iPr_def_11),
inference(global_subsumption_just,[status(thm)],[c_18924,c_18924,c_21924]) ).
tcf(c_42021,plain,
( ssList(tl(iPr_def_11))
| ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11) ),
inference(superposition,[status(thm)],[c_42019,c_221]) ).
tcf(c_42022,plain,
ssList(tl(iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_42021,c_21924,c_17132]) ).
tcf(c_43361,plain,
tl(iPr_def_12) = sK52(iPr_def_12),
inference(global_subsumption_just,[status(thm)],[c_18925,c_18925,c_21923]) ).
tcf(c_43363,plain,
( ssList(tl(iPr_def_12))
| ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_43361,c_221]) ).
tcf(c_43364,plain,
ssList(tl(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_43363,c_21923,c_17133]) ).
tcf(c_57995,plain,
hd(cons(sK61,nil)) = sK61,
inference(superposition,[status(thm)],[c_141,c_22408]) ).
tcf(c_58023,plain,
hd(iPr_def_13) = sK61,
inference(light_normalisation,[status(thm)],[c_57995,c_21947]) ).
tcf(c_76249,plain,
cons(hd(iPr_def_11),tl(iPr_def_11)) = iPr_def_11,
inference(global_subsumption_just,[status(thm)],[c_20646,c_20646,c_21924]) ).
tcf(c_78922,plain,
cons(hd(iPr_def_12),tl(iPr_def_12)) = iPr_def_12,
inference(global_subsumption_just,[status(thm)],[c_20647,c_20647,c_21923]) ).
tcf(c_93037,plain,
hd(app(iPr_def_12,sK60)) = hd(iPr_def_12),
inference(superposition,[status(thm)],[c_13139,c_23630]) ).
tcf(c_93082,plain,
hd(iPr_def_12) = sK61,
inference(light_normalisation,[status(thm)],[c_93037,c_13124,c_58023]) ).
tcf(c_93227,plain,
cons(sK61,tl(iPr_def_12)) = iPr_def_12,
inference(demodulation,[status(thm)],[c_78922,c_93082]) ).
tcf(c_94472,plain,
hd(app(iPr_def_11,iPr_def_10)) = hd(iPr_def_11),
inference(superposition,[status(thm)],[c_16996,c_23633]) ).
tcf(c_94512,plain,
hd(iPr_def_11) = sK61,
inference(light_normalisation,[status(thm)],[c_94472,c_13123,c_93082]) ).
tcf(c_94659,plain,
cons(sK61,tl(iPr_def_11)) = iPr_def_11,
inference(demodulation,[status(thm)],[c_76249,c_94512]) ).
tcf(c_137054,plain,
! [X0: $i] :
( frontsegP(cons(sK61,X0),iPr_def_13)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_26196,c_180,c_26196]) ).
tcf(c_137061,plain,
( frontsegP(iPr_def_11,iPr_def_13)
| ~ ssList(tl(iPr_def_11)) ),
inference(superposition,[status(thm)],[c_94659,c_137054]) ).
tcf(c_137062,plain,
( frontsegP(iPr_def_12,iPr_def_13)
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_93227,c_137054]) ).
tcf(c_137066,plain,
frontsegP(iPr_def_12,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_137062,c_43364]) ).
tcf(c_137067,plain,
frontsegP(iPr_def_11,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_137061,c_42022]) ).
tcf(c_137083,plain,
iPr_def_12 = iPr_def_13,
inference(backward_subsumption_resolution,[status(thm)],[c_22988,c_137066]) ).
tcf(c_139325,plain,
frontsegP(iPr_def_11,iPr_def_12),
inference(light_normalisation,[status(thm)],[c_137067,c_137083]) ).
tcf(c_139326,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_139325,c_38705]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC164+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.18/0.45 % Computer : n008.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Thu Sep 24 16:45:59 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.46 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.18/0.50 Running first-order theorem proving
% 0.18/0.50 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
% 0.22/0.52
% 0.22/0.52 % ======== iProver multi-core TPTP/SMT =========
% 0.22/0.52
% 0.22/0.52 % Detected problem language: tptp
% 0.22/0.54 % Proving...
% 37.84/7.08 % SZS status Started for theBenchmark.p
% 37.84/7.08 % SZS status Theorem for theBenchmark.p
% 37.84/7.08
% 37.84/7.08 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 37.84/7.08
% 37.84/7.08 % ------ iProver source info
% 37.84/7.08
% 37.84/7.08 % git: date: 2026-07-19 20:42:38 +0200
% 37.84/7.08 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 37.84/7.08 % git: non_committed_changes: false
% 37.84/7.08
% 37.84/7.08 % ------ Parsing...
% 37.84/7.08 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 37.84/7.08
% 37.84/7.08 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 3 sf_s rm: 5 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e %
% 37.84/7.08
% 37.84/7.08 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 37.84/7.08
% 37.84/7.08 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 37.84/7.08 % ------ Proving...
% 37.84/7.08 % ------ Problem Properties
% 37.84/7.08
% 37.84/7.08 %
% 37.84/7.08 % clauses 200
% 37.84/7.08 % conjectures 13
% 37.84/7.08 % EPR 64
% 37.84/7.08 % Horn 124
% 37.84/7.08 % unary 28
% 37.84/7.08 % binary 46
% 37.84/7.08 % lits 652
% 37.84/7.08 % lits eq 97
% 37.84/7.08 % fd_pure 0
% 37.84/7.08 % fd_pseudo 0
% 37.84/7.08 % fd_cond 23
% 37.84/7.08 % fd_pseudo_cond 14
% 37.84/7.08 % AC symbols 0
% 37.84/7.08
% 37.84/7.08 % ------ Schedule dynamic 5 is on
% 37.84/7.08
% 37.84/7.08 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 37.84/7.08
% 37.84/7.08
% 37.84/7.08 % ------
% 37.84/7.08 % Current options:
% 37.84/7.08 % ------
% 37.84/7.08
% 37.84/7.08
% 37.84/7.08 %
% 37.84/7.08
% 37.84/7.08 % ------ Proving...
% 37.84/7.08 %
% 37.84/7.08
% 37.84/7.08 % SZS status Theorem for theBenchmark.p
% 37.84/7.08
% 37.84/7.08 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 37.84/7.09
% 37.84/7.09
%------------------------------------------------------------------------------