%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC072+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n006.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 03:07:46 PM UTC 2026
% Result : Theorem 80.20s 13.35s
% Output : CNFRefutation 80.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f544ERROR: Could not build tree for root c_199133ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001+0.ax',ax5) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax7) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax15) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax18) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax22) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax24) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(f45,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax45) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax58) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax78) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( neq(X3,nil)
& ? [X5] :
( ? [X6] :
( ? [X7] :
( neq(nil,X3)
& ? [X8] :
( neq(nil,X3)
& hd(X3) = X8
& cons(X8,nil) = X7
& ssItem(X8) )
& app(X6,X7) = X5
& tl(X3) = X6
& ssList(X7) )
& ssList(X6) )
& X2 != X5
& ssList(X5) ) )
| ( nil = X0
& nil = X1 )
| ( nil = X3
& nil != X2 )
| ? [X4] :
( segmentP(X0,X4)
& segmentP(X1,X4)
& neq(X4,nil)
& ssList(X4) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( neq(X3,nil)
& ? [X5] :
( ? [X6] :
( ? [X7] :
( neq(nil,X3)
& ? [X8] :
( neq(nil,X3)
& hd(X3) = X8
& cons(X8,nil) = X7
& ssItem(X8) )
& app(X6,X7) = X5
& tl(X3) = X6
& ssList(X7) )
& ssList(X6) )
& X2 != X5
& ssList(X5) ) )
| ( nil = X0
& nil = X1 )
| ( nil = X3
& nil != X2 )
| ? [X4] :
( segmentP(X0,X4)
& segmentP(X1,X4)
& neq(X4,nil)
& ssList(X4) )
| 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(f103,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f118,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( neq(X0,X1)
<=> X0 != X1 ) ) ),
inference(ennf_transformation,[],[f15]) ).
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(f126,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
inference(flattening,[],[f126]) ).
fof(f129,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
inference(flattening,[],[f129]) ).
fof(f132,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ssList(app(X0,X1)) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f134,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(ennf_transformation,[],[f28]) ).
fof(f157,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
inference(ennf_transformation,[],[f45]) ).
fof(f176,plain,
! [X0] :
( ~ ssList(X0)
| ( segmentP(nil,X0)
<=> nil = X0 ) ),
inference(ennf_transformation,[],[f58]) ).
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(f198,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ) ),
inference(ennf_transformation,[],[f81]) ).
fof(f201,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(ennf_transformation,[],[f84]) ).
fof(f221,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ( ~ neq(X3,nil)
| ! [X5] :
( ! [X6] :
( ! [X7] :
( ~ neq(nil,X3)
| ! [X8] :
( ~ neq(nil,X3)
| hd(X3) != X8
| cons(X8,nil) != X7
| ~ ssItem(X8) )
| app(X6,X7) != X5
| tl(X3) != X6
| ~ ssList(X7) )
| ~ ssList(X6) )
| X2 = X5
| ~ ssList(X5) ) )
& ( nil != X0
| nil != X1 )
& ( nil != X3
| nil = X2 )
& ! [X4] :
( ~ segmentP(X0,X4)
| ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& 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(f245,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ segmentP(X0,X1)
| ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) )
& ( ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| segmentP(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f103]) ).
fof(f246,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ segmentP(X0,X1)
| ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) ) )
& ( ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| segmentP(X0,X1) ) ) ) ),
inference(rectify,[],[f245]) ).
fof(f247,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ segmentP(X0,X1)
| ( app(app(sK13(X0,X1),X1),sK14(X0,X1)) = X0
& ssList(sK14(X0,X1))
& ssList(sK13(X0,X1)) ) )
& ( ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| segmentP(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X4,sK13(X0,X1)),skolemize(X5,sK14(X0,X1))],[f246]) ).
fof(f272,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ neq(X0,X1)
| X0 != X1 )
& ( X0 = X1
| neq(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f118]) ).
fof(f284,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ segmentP(nil,X0)
| nil = X0 )
& ( nil != X0
| segmentP(nil,X0) ) ) ),
inference(nnf_transformation,[],[f176]) ).
fof(f295,plain,
( ssList(sK53)
& ssList(sK54)
& ssList(sK55)
& ( ~ neq(sK56,nil)
| ! [X5] :
( ! [X6] :
( ! [X7] :
( ~ neq(nil,sK56)
| ! [X8] :
( ~ neq(nil,sK56)
| hd(sK56) != X8
| cons(X8,nil) != X7
| ~ ssItem(X8) )
| app(X6,X7) != X5
| tl(sK56) != X6
| ~ ssList(X7) )
| ~ ssList(X6) )
| sK55 = X5
| ~ ssList(X5) ) )
& ( nil != sK53
| nil != sK54 )
& ( nil != sK56
| nil = sK55 )
& ! [X4] :
( ~ segmentP(sK53,X4)
| ~ segmentP(sK54,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& sK53 = sK55
& sK54 = sK56
& ssList(sK56) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56]),skolemize(X0,sK53),skolemize(X1,sK54),skolemize(X2,sK55),skolemize(X3,sK56)],[f221]) ).
fof(f297,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 = X1
| neq(X0,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f308,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| app(X1,sK11(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f241]) ).
fof(f317,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| segmentP(X0,X1) ),
inference(cnf_transformation,[],[f247]) ).
fof(f386,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| neq(X0,X1) ),
inference(cnf_transformation,[],[f272]) ).
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(f396,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
inference(cnf_transformation,[],[f127]) ).
fof(f398,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
inference(cnf_transformation,[],[f130]) ).
fof(f400,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f132]) ).
fof(f402,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f134]) ).
fof(f427,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
inference(cnf_transformation,[],[f157]) ).
fof(f442,plain,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ),
inference(cnf_transformation,[],[f284]) ).
fof(f443,plain,
! [X0] :
( ~ ssList(X0)
| nil != X0
| segmentP(nil,X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f473,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f193]) ).
fof(f476,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f481,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f201]) ).
fof(f495,plain,
ssList(sK53),
inference(cnf_transformation,[],[f295]) ).
fof(f496,plain,
ssList(sK54),
inference(cnf_transformation,[],[f295]) ).
fof(f499,plain,
( nil != sK53
| nil != sK54 ),
inference(cnf_transformation,[],[f295]) ).
fof(f500,plain,
( nil != sK56
| nil = sK55 ),
inference(cnf_transformation,[],[f295]) ).
fof(f501,plain,
! [X4] :
( ~ segmentP(sK53,X4)
| ~ segmentP(sK54,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f295]) ).
fof(f502,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f295]) ).
fof(f503,plain,
sK54 = sK56,
inference(cnf_transformation,[],[f295]) ).
fof(f505,plain,
! [X4] :
( ~ segmentP(sK55,X4)
| ~ segmentP(sK56,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) ),
inference(definition_unfolding,[],[f501,f503,f502]) ).
fof(f506,plain,
( nil != sK55
| nil != sK56 ),
inference(definition_unfolding,[],[f499,f503,f502]) ).
fof(f507,plain,
ssList(sK56),
inference(definition_unfolding,[],[f496,f503]) ).
fof(f508,plain,
ssList(sK55),
inference(definition_unfolding,[],[f495,f502]) ).
fof(f514,plain,
! [X2,X3,X1] :
( ~ ssList(app(app(X2,X1),X3))
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| segmentP(app(app(X2,X1),X3),X1) ),
inference(equality_resolution,[],[f317]) ).
fof(f528,plain,
( ~ ssList(nil)
| segmentP(nil,nil) ),
inference(equality_resolution,[],[f443]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( neq(X0,X1)
| ( X0 = X1 )
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f297]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( ( app(X1,sK11(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f308]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(cnf_transformation,[],[f514]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i] :
( neq(X0,X1)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f386]) ).
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_149,plain,
! [X0: $i] :
( ssItem(hd(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f396]) ).
tcf(c_151,plain,
! [X0: $i] :
( ssList(tl(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f398]) ).
tcf(c_153,plain,
! [X0: $i,X1: $i] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f400]) ).
tcf(c_155,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f402]) ).
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,[],[f544]) ).
tcf(c_180,plain,
! [X0: $i] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f427]) ).
tcf(c_195,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f528]) ).
tcf(c_196,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(cnf_transformation,[],[f442]) ).
tcf(c_224,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(hd(X0),tl(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f473]) ).
tcf(c_227,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X0,nil),X1) = cons(X0,X1) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f476]) ).
tcf(c_232,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f481]) ).
tcf(c_247,negated_conjecture,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sK55,X0)
| ~ segmentP(sK56,X0)
| ~ neq(X0,nil) ),
inference(cnf_transformation,[],[f505]) ).
tcf(c_248,negated_conjecture,
( ( nil = sK55 )
| ( nil != sK56 ) ),
inference(cnf_transformation,[],[f500]) ).
tcf(c_249,negated_conjecture,
( ( nil != sK55 )
| ( nil != sK56 ) ),
inference(cnf_transformation,[],[f506]) ).
tcf(c_250,negated_conjecture,
( ( app(tl(sK56),cons(hd(sK56),nil)) = sK55 )
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ~ neq(sK56,nil)
| ~ neq(nil,sK56)
| ~ ssList(cons(hd(sK56),nil))
| ~ ssList(app(tl(sK56),cons(hd(sK56),nil))) ),
inference(cnf_transformation,[],[f547]) ).
tcf(c_252,negated_conjecture,
ssList(sK56),
inference(cnf_transformation,[],[f507]) ).
tcf(c_253,negated_conjecture,
ssList(sK55),
inference(cnf_transformation,[],[f508]) ).
tcf(c_303,plain,
( ( nil = nil )
| ~ ssList(nil)
| ~ segmentP(nil,nil) ),
inference(instantiation,[status(thm)],[c_196]) ).
tcf(c_366,negated_conjecture,
nil != sK56,
inference(global_subsumption_just,[status(thm)],[c_248,c_248,c_249]) ).
tcf(c_370,negated_conjecture,
nil != sK56,
inference(global_subsumption_just,[status(thm)],[c_249,c_366]) ).
tcf(c_804,plain,
( ( app(tl(sK56),cons(hd(sK56),nil)) = sK55 )
| ~ ssList(tl(sK56))
| ~ ssItem(hd(sK56))
| ~ neq(sK56,nil)
| ~ neq(nil,sK56)
| ~ ssList(cons(hd(sK56),nil)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_250,c_153]) ).
tcf(c_8898,definition,
iPr_def_10 = hd(sK56),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_8899,definition,
iPr_def_11 = cons(iPr_def_10,nil),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_8900,definition,
iPr_def_12 = tl(sK56),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_8901,definition,
iPr_def_13 = app(iPr_def_12,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_8902,plain,
( ( iPr_def_13 = sK55 )
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ ssItem(iPr_def_10)
| ~ neq(sK56,nil)
| ~ neq(nil,sK56) ),
inference(demodulation,[status(thm)],[c_804,c_8901,c_8900,c_8898,c_8899]) ).
tcf(c_8903,negated_conjecture,
nil != sK56,
inference(demodulation,[status(thm)],[c_370]) ).
tcf(c_8904,negated_conjecture,
ssList(sK55),
inference(demodulation,[status(thm)],[c_253]) ).
tcf(c_8905,negated_conjecture,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sK55,X0)
| ~ segmentP(sK56,X0)
| ~ neq(X0,nil) ),
inference(demodulation,[status(thm)],[c_247]) ).
tcf(c_8906,negated_conjecture,
ssList(sK56),
inference(demodulation,[status(thm)],[c_252]) ).
tcf(c_8909,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_12396,plain,
( ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssItem(iPr_def_10) ),
inference(superposition,[status(thm)],[c_8899,c_140]) ).
tcf(c_12399,plain,
( ssList(iPr_def_11)
| ~ ssItem(iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12396,c_141]) ).
tcf(c_12434,plain,
( ( sK55 = iPr_def_13 )
| ~ ssList(iPr_def_12)
| ~ ssItem(iPr_def_10)
| ~ neq(sK56,nil)
| ~ neq(nil,sK56) ),
inference(backward_subsumption_resolution,[status(thm)],[c_8902,c_12399]) ).
tcf(c_12473,plain,
( ssItem(iPr_def_10)
| ( nil = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_8898,c_149]) ).
tcf(c_12474,plain,
ssItem(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_12473,c_8903,c_8906]) ).
tcf(c_12475,plain,
( ( sK55 = iPr_def_13 )
| ~ ssList(iPr_def_12)
| ~ neq(sK56,nil)
| ~ neq(nil,sK56) ),
inference(backward_subsumption_resolution,[status(thm)],[c_12434,c_12474]) ).
tcf(c_12477,plain,
ssList(iPr_def_11),
inference(backward_subsumption_resolution,[status(thm)],[c_12399,c_12474]) ).
tcf(c_12491,plain,
app(nil,iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_12477,c_155]) ).
tcf(c_12498,plain,
( ssList(iPr_def_12)
| ( nil = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_8900,c_151]) ).
tcf(c_12501,plain,
ssList(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_12498,c_8903,c_8906]) ).
tcf(c_12571,plain,
( ( sK55 = iPr_def_13 )
| ~ neq(nil,sK56)
| ~ neq(sK56,nil) ),
inference(global_subsumption_just,[status(thm)],[c_12475,c_12434,c_12474,c_12501]) ).
tcf(c_12572,plain,
( ( sK55 = iPr_def_13 )
| ~ neq(sK56,nil)
| ~ neq(nil,sK56) ),
inference(renaming,[status(thm)],[c_12571]) ).
tcf(c_13443,plain,
( neq(nil,sK56)
| ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_13477,plain,
( ( sK55 = iPr_def_13 )
| ( nil = sK56 )
| ~ ssList(sK56)
| ~ ssList(nil)
| ~ neq(nil,sK56) ),
inference(superposition,[status(thm)],[c_138,c_12572]) ).
tcf(c_13478,plain,
( ( sK55 = iPr_def_13 )
| ~ neq(nil,sK56) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13477,c_8903,c_8906,c_141]) ).
tcf(c_13635,plain,
! [X0: $i] :
( ( nil = sK56 )
| ( sK56 != X0 )
| ( nil != X0 ) ),
inference(instantiation,[status(thm)],[c_8909]) ).
tcf(c_13636,plain,
( ( nil = sK56 )
| ( sK56 != nil )
| ( nil != nil ) ),
inference(instantiation,[status(thm)],[c_13635]) ).
tcf(c_13637,plain,
sK55 = iPr_def_13,
inference(global_subsumption_just,[status(thm)],[c_13478,c_252,c_141,c_248,c_249,c_13443,c_13478]) ).
tcf(c_13653,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(iPr_def_13,X0)
| ~ segmentP(sK56,X0)
| ~ neq(X0,nil) ),
inference(demodulation,[status(thm)],[c_8905,c_13637]) ).
tcf(c_13679,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(iPr_def_13,X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_138,c_13653]) ).
tcf(c_13681,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ segmentP(iPr_def_13,X0)
| ~ segmentP(sK56,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13679,c_141]) ).
tcf(c_14515,plain,
! [X0: $i] :
( neq(sK56,X0)
| ( sK56 = X0 )
| ~ ssList(sK56)
| ~ ssList(X0) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_14518,plain,
( neq(sK56,nil)
| ( sK56 = nil )
| ~ ssList(sK56)
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_14515]) ).
tcf(c_15564,plain,
( ( nil = sK56 )
| ( cons(hd(sK56),tl(sK56)) = sK56 ) ),
inference(superposition,[status(thm)],[c_8906,c_224]) ).
tcf(c_15575,plain,
( ( nil = sK56 )
| ( cons(iPr_def_10,iPr_def_12) = sK56 ) ),
inference(light_normalisation,[status(thm)],[c_15564,c_8898,c_8900]) ).
tcf(c_15576,plain,
cons(iPr_def_10,iPr_def_12) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_15575,c_8903]) ).
tcf(c_15815,plain,
! [X0: $i] :
( ( app(cons(iPr_def_10,nil),X0) = cons(iPr_def_10,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_12474,c_227]) ).
tcf(c_15818,plain,
! [X0: $i] :
( ( cons(iPr_def_10,X0) = app(iPr_def_11,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_15815,c_8899]) ).
tcf(c_19372,plain,
! [X0: $i] :
( frontsegP(cons(iPr_def_10,X0),iPr_def_11)
| ~ ssList(nil)
| ~ ssItem(iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(superposition,[status(thm)],[c_8899,c_177]) ).
tcf(c_19386,plain,
! [X0: $i] :
( frontsegP(cons(iPr_def_10,X0),iPr_def_11)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19372,c_141,c_12474]) ).
tcf(c_24661,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,iPr_def_11),X0)) ),
inference(superposition,[status(thm)],[c_12491,c_67]) ).
tcf(c_24752,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_11,X0)) ),
inference(light_normalisation,[status(thm)],[c_24661,c_12491]) ).
tcf(c_24753,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),iPr_def_11)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_11,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24752,c_12477,c_141]) ).
tcf(c_40349,plain,
! [X0: $i] :
( frontsegP(cons(iPr_def_10,X0),iPr_def_11)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_19386,c_180,c_19386]) ).
tcf(c_41612,plain,
cons(iPr_def_10,iPr_def_12) = app(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_12501,c_15818]) ).
tcf(c_41618,plain,
app(iPr_def_11,iPr_def_12) = sK56,
inference(light_normalisation,[status(thm)],[c_41612,c_15576]) ).
tcf(c_106547,plain,
( ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssItem(iPr_def_10) ),
inference(superposition,[status(thm)],[c_8899,c_140]) ).
tcf(c_106551,plain,
( ssList(iPr_def_11)
| ~ ssItem(iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_106547,c_141]) ).
tcf(c_106589,plain,
ssList(iPr_def_11),
inference(global_subsumption_just,[status(thm)],[c_106551,c_12477]) ).
tcf(c_106593,plain,
app(nil,iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_106589,c_155]) ).
tcf(c_126857,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssList(app(app(X0,X1),X2))
| ~ ssList(X2)
| ~ ssList(app(X0,X1)) ),
inference(instantiation,[status(thm)],[c_153]) ).
tcf(c_133817,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_67,c_153,c_67,c_126857]) ).
tcf(c_163229,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_106593,c_133817]) ).
tcf(c_163250,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),iPr_def_11)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_163229,c_106589,c_141]) ).
tcf(c_167719,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),iPr_def_11)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_24753,c_163250]) ).
tcf(c_167729,plain,
( segmentP(sK56,iPr_def_11)
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_41618,c_167719]) ).
tcf(c_167745,plain,
segmentP(sK56,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_167729,c_12501]) ).
tcf(c_169534,plain,
iPr_def_13 = sK55,
inference(global_subsumption_just,[status(thm)],[c_8902,c_252,c_141,c_195,c_248,c_249,c_303,c_8902,c_12477,c_12474,c_12501,c_13443,c_13636,c_14518]) ).
tcf(c_169536,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(iPr_def_13,X0)
| ~ segmentP(sK56,X0)
| ~ neq(X0,nil) ),
inference(demodulation,[status(thm)],[c_8905,c_169534]) ).
tcf(c_169537,plain,
ssList(iPr_def_13),
inference(demodulation,[status(thm)],[c_8904,c_169534]) ).
tcf(c_169686,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssItem(nil)
| ~ ssList(X0)
| ~ ssItem(X0)
| ~ segmentP(iPr_def_13,X0)
| ~ segmentP(sK56,X0) ),
inference(superposition,[status(thm)],[c_49,c_169536]) ).
tcf(c_169727,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ segmentP(iPr_def_13,X0)
| ~ segmentP(sK56,X0)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_169686,c_13681]) ).
tcf(c_169728,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ segmentP(iPr_def_13,X0)
| ~ segmentP(sK56,X0) ),
inference(renaming,[status(thm)],[c_169727]) ).
tcf(c_169985,plain,
app(iPr_def_13,nil) = iPr_def_13,
inference(superposition,[status(thm)],[c_169537,c_232]) ).
tcf(c_170043,plain,
( ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssItem(iPr_def_10) ),
inference(superposition,[status(thm)],[c_8899,c_140]) ).
tcf(c_170046,plain,
( ssList(iPr_def_11)
| ~ ssItem(iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_170043,c_141]) ).
tcf(c_170075,plain,
ssList(iPr_def_11),
inference(global_subsumption_just,[status(thm)],[c_170046,c_12477]) ).
tcf(c_170078,plain,
app(nil,iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_170075,c_155]) ).
tcf(c_170085,plain,
( ssItem(iPr_def_10)
| ( nil = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_8898,c_149]) ).
tcf(c_170086,plain,
ssItem(iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_170085,c_8903,c_8906]) ).
tcf(c_170093,plain,
( ssList(iPr_def_12)
| ( nil = sK56 )
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_8900,c_151]) ).
tcf(c_170096,plain,
ssList(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_170093,c_8903,c_8906]) ).
tcf(c_171222,plain,
( ~ ssList(nil)
| ~ ssItem(iPr_def_10)
| ( nil != iPr_def_11 ) ),
inference(superposition,[status(thm)],[c_8899,c_142]) ).
tcf(c_171224,plain,
nil != iPr_def_11,
inference(forward_subsumption_resolution,[status(thm)],[c_171222,c_141,c_170086]) ).
tcf(c_173394,plain,
( ( nil = sK56 )
| ( cons(hd(sK56),tl(sK56)) = sK56 ) ),
inference(superposition,[status(thm)],[c_8906,c_224]) ).
tcf(c_173405,plain,
( ( nil = sK56 )
| ( cons(iPr_def_10,iPr_def_12) = sK56 ) ),
inference(light_normalisation,[status(thm)],[c_173394,c_8898,c_8900]) ).
tcf(c_173406,plain,
cons(iPr_def_10,iPr_def_12) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_173405,c_8903]) ).
tcf(c_177501,plain,
! [X0: $i] :
( frontsegP(cons(iPr_def_10,X0),iPr_def_11)
| ~ ssList(nil)
| ~ ssItem(iPr_def_10)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(superposition,[status(thm)],[c_8899,c_177]) ).
tcf(c_177517,plain,
! [X0: $i] :
( frontsegP(cons(iPr_def_10,X0),iPr_def_11)
| ~ ssList(X0)
| ~ frontsegP(X0,nil) ),
inference(forward_subsumption_resolution,[status(thm)],[c_177501,c_141,c_170086]) ).
tcf(c_183890,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_67,c_133817]) ).
tcf(c_183904,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),iPr_def_11)
| ~ ssList(iPr_def_12)
| ~ ssList(iPr_def_11)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_8901,c_183890]) ).
tcf(c_183905,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),iPr_def_11)
| ~ ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_170078,c_183890]) ).
tcf(c_183989,plain,
! [X0: $i] :
( segmentP(app(iPr_def_11,X0),iPr_def_11)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183905,c_170075,c_141]) ).
tcf(c_183992,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),iPr_def_11)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183904,c_170096,c_170075]) ).
tcf(c_191274,plain,
( segmentP(iPr_def_13,iPr_def_11)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_169985,c_183992]) ).
tcf(c_191279,plain,
segmentP(iPr_def_13,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_191274,c_141]) ).
tcf(c_198827,plain,
! [X0: $i] :
( frontsegP(cons(iPr_def_10,X0),iPr_def_11)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_177517,c_40349]) ).
tcf(c_198834,plain,
( frontsegP(sK56,iPr_def_11)
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_173406,c_198827]) ).
tcf(c_198838,plain,
frontsegP(sK56,iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_198834,c_170096]) ).
tcf(c_198856,plain,
( ( app(iPr_def_11,sK11(sK56,iPr_def_11)) = sK56 )
| ~ ssList(iPr_def_11)
| ~ ssList(sK56) ),
inference(superposition,[status(thm)],[c_198838,c_63]) ).
tcf(c_198857,plain,
app(iPr_def_11,sK11(sK56,iPr_def_11)) = sK56,
inference(forward_subsumption_resolution,[status(thm)],[c_198856,c_170075,c_8906]) ).
tcf(c_198881,plain,
( segmentP(sK56,iPr_def_11)
| ~ ssList(sK11(sK56,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_198857,c_183989]) ).
tcf(c_199127,plain,
segmentP(sK56,iPr_def_11),
inference(global_subsumption_just,[status(thm)],[c_198881,c_167745]) ).
tcf(c_199132,plain,
( ( nil = iPr_def_11 )
| ~ ssList(iPr_def_11)
| ~ segmentP(iPr_def_13,iPr_def_11) ),
inference(superposition,[status(thm)],[c_199127,c_169728]) ).
tcf(c_199133,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_199132,c_171224,c_170075,c_191279]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC072+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n006.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 16:14:13 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 80.20/13.35 % SZS status Started for theBenchmark.p
% 80.20/13.35 % SZS status Theorem for theBenchmark.p
% 80.20/13.35
% 80.20/13.35 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 80.20/13.35
% 80.20/13.35 % ------ iProver source info
% 80.20/13.35
% 80.20/13.35 % git: date: 2026-07-19 20:42:38 +0200
% 80.20/13.35 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 80.20/13.35 % git: non_committed_changes: false
% 80.20/13.35
% 80.20/13.35 % ------ Parsing...
% 80.20/13.35 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 80.20/13.35
% 80.20/13.35 % ------ 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: 0 sf_s rm: 4 0s sf_e pe_s pe_e %
% 80.20/13.35
% 80.20/13.35 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 80.20/13.35
% 80.20/13.35 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 80.20/13.35 % ------ Proving...
% 80.20/13.35 % ------ Problem Properties
% 80.20/13.35
% 80.20/13.35 %
% 80.20/13.35 % clauses 193
% 80.20/13.35 % conjectures 4
% 80.20/13.35 % EPR 58
% 80.20/13.35 % Horn 123
% 80.20/13.35 % unary 23
% 80.20/13.35 % binary 42
% 80.20/13.35 % lits 647
% 80.20/13.35 % lits eq 86
% 80.20/13.35 % fd_pure 0
% 80.20/13.35 % fd_pseudo 0
% 80.20/13.35 % fd_cond 21
% 80.20/13.35 % fd_pseudo_cond 16
% 80.20/13.35 % AC symbols 0
% 80.20/13.35
% 80.20/13.35 % ------ Schedule dynamic 5 is on
% 80.20/13.35
% 80.20/13.35 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 80.20/13.35
% 80.20/13.35
% 80.20/13.35 % ------
% 80.20/13.35 % Current options:
% 80.20/13.35 % ------
% 80.20/13.35
% 80.20/13.35
% 80.20/13.35 %
% 80.20/13.35
% 80.20/13.35 % ------ Proving...
% 80.20/13.35 % Proof_search_loop: time out after: 5455 full_loop iterations
% 80.20/13.35
% 80.20/13.35 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 80.20/13.35
% 80.20/13.35
% 80.20/13.35 % ------
% 80.20/13.35 % Current options:
% 80.20/13.35 % ------
% 80.20/13.35
% 80.20/13.35
% 80.20/13.35 %
% 80.20/13.35
% 80.20/13.35 % ------ Proving...
% 80.20/13.35 %
% 80.20/13.35
% 80.20/13.35 % SZS status Theorem for theBenchmark.p
% 80.20/13.35
% 80.20/13.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 80.20/13.35
% 80.20/13.35
%------------------------------------------------------------------------------