%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC390+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 : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:09:35 PM UTC 2026
% Result : Theorem 250.87s 38.96s
% Output : CNFRefutation 250.87s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f234ERROR: Could not build tree for root c_520434ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax3) ).
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax4) ).
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(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax21) ).
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(f56,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( segmentP(X0,X1)
=> segmentP(app(app(X2,X0),X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax56) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax57) ).
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] :
( ssList(X3)
=> ( ( ( singletonP(X0)
| ~ neq(X1,nil) )
& segmentP(X1,X0) )
| ( neq(X3,nil)
& ! [X4] :
( ssItem(X4)
=> ( ~ memberP(X3,X4)
| cons(X4,nil) != X2 ) ) )
| ( nil = X3
& nil != X2 )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( singletonP(X0)
| ~ neq(X1,nil) )
& segmentP(X1,X0) )
| ( neq(X3,nil)
& ! [X4] :
( ssItem(X4)
=> ( ~ memberP(X3,X4)
| cons(X4,nil) != X2 ) ) )
| ( nil = X3
& nil != X2 )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ( ~ singletonP(X0)
& neq(X1,nil) )
| ~ segmentP(X1,X0) )
& ( ~ neq(X3,nil)
| ? [X4] :
( ssItem(X4)
& memberP(X3,X4)
& cons(X4,nil) = X2 ) )
& ( nil != X3
| nil = X2 )
& X0 = X2
& X1 = X3 ) ) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f99,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ( ~ singletonP(X0)
& neq(X1,nil) )
| ~ segmentP(X1,X0) )
& ( ~ neq(X3,nil)
| ? [X4] :
( ssItem(X4)
& memberP(X3,X4)
& cons(X4,nil) = X2 ) )
& ( nil != X3
| nil = X2 )
& X0 = X2
& X1 = X3 ) ) ) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ) ),
inference(ennf_transformation,[],[f81]) ).
fof(f102,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| nil != cons(X1,X0) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f108,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ssList(cons(X1,X0)) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f109,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( neq(X0,X1)
<=> X0 != X1 ) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f114,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f115,plain,
! [X0] :
( ~ ssList(X0)
| ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f117,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
inference(ennf_transformation,[],[f57]) ).
fof(f118,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X2,X0),X3),X1) ) ) ) ),
inference(ennf_transformation,[],[f56]) ).
fof(f119,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X2,X0),X3),X1) ) ) ) ),
inference(flattening,[],[f118]) ).
fof(f125,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(f126,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(ennf_transformation,[],[f84]) ).
fof(f133,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(ennf_transformation,[],[f28]) ).
fof(f134,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ssList(app(X0,X1)) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f135,plain,
( ssList(sK0)
& ssList(sK1)
& ssList(sK2)
& ssList(sK3)
& ( ( ~ singletonP(sK0)
& neq(sK1,nil) )
| ~ segmentP(sK1,sK0) )
& ( ~ neq(sK3,nil)
| ( ssItem(sK4)
& memberP(sK3,sK4)
& sK2 = cons(sK4,nil) ) )
& ( nil != sK3
| nil = sK2 )
& sK0 = sK2
& sK1 = sK3 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f99]) ).
fof(f138,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ neq(X0,X1)
| X0 != X1 )
& ( X0 = X1
| neq(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f109]) ).
fof(f144,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ memberP(X0,X1)
| ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) )
& ( ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| memberP(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f114]) ).
fof(f145,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ memberP(X0,X1)
| ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) ) )
& ( ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| memberP(X0,X1) ) ) ) ),
inference(rectify,[],[f144]) ).
fof(f146,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( ~ memberP(X0,X1)
| ( app(sK9(X0,X1),cons(X1,sK10(X0,X1))) = X0
& ssList(sK10(X0,X1))
& ssList(sK9(X0,X1)) ) )
& ( ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| memberP(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X4,sK9(X0,X1)),skolemize(X5,sK10(X0,X1))],[f145]) ).
fof(f147,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ singletonP(X0)
| ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) )
& ( ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) )
| singletonP(X0) ) ) ),
inference(nnf_transformation,[],[f115]) ).
fof(f148,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ singletonP(X0)
| ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) ) )
& ( ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) )
| singletonP(X0) ) ) ),
inference(rectify,[],[f147]) ).
fof(f149,plain,
! [X0] :
( ~ ssList(X0)
| ( ( ~ singletonP(X0)
| ( cons(sK11(X0),nil) = X0
& ssItem(sK11(X0)) ) )
& ( ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) )
| singletonP(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0))],[f148]) ).
fof(f151,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,[],[f125]) ).
fof(f152,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,[],[f151]) ).
fof(f153,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ segmentP(X0,X1)
| ( app(app(sK12(X0,X1),X1),sK13(X0,X1)) = X0
& ssList(sK13(X0,X1))
& ssList(sK12(X0,X1)) ) )
& ( ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| segmentP(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X4,sK12(X0,X1)),skolemize(X5,sK13(X0,X1))],[f152]) ).
fof(f156,plain,
ssList(sK0),
inference(cnf_transformation,[],[f135]) ).
fof(f157,plain,
ssList(sK1),
inference(cnf_transformation,[],[f135]) ).
fof(f160,plain,
( ~ singletonP(sK0)
| ~ segmentP(sK1,sK0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f161,plain,
( neq(sK1,nil)
| ~ segmentP(sK1,sK0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f162,plain,
( ~ neq(sK3,nil)
| ssItem(sK4) ),
inference(cnf_transformation,[],[f135]) ).
fof(f163,plain,
( ~ neq(sK3,nil)
| memberP(sK3,sK4) ),
inference(cnf_transformation,[],[f135]) ).
fof(f164,plain,
( ~ neq(sK3,nil)
| sK2 = cons(sK4,nil) ),
inference(cnf_transformation,[],[f135]) ).
fof(f165,plain,
( nil != sK3
| nil = sK2 ),
inference(cnf_transformation,[],[f135]) ).
fof(f166,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f135]) ).
fof(f167,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f135]) ).
fof(f171,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f173,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| nil != cons(X1,X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f180,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
inference(cnf_transformation,[],[f108]) ).
fof(f182,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| neq(X0,X1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f185,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f193,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| app(sK9(X0,X1),cons(X1,sK10(X0,X1))) = X0 ),
inference(cnf_transformation,[],[f146]) ).
fof(f194,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| ssList(sK10(X0,X1)) ),
inference(cnf_transformation,[],[f146]) ).
fof(f195,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| ssList(sK9(X0,X1)) ),
inference(cnf_transformation,[],[f146]) ).
fof(f200,plain,
! [X0,X1] :
( ~ ssList(X0)
| cons(X1,nil) != X0
| ~ ssItem(X1)
| singletonP(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f203,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
inference(cnf_transformation,[],[f117]) ).
fof(f204,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X2,X0),X3),X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f211,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,[],[f153]) ).
fof(f212,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f126]) ).
fof(f219,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f133]) ).
fof(f220,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f134]) ).
fof(f221,plain,
( neq(sK3,nil)
| ~ segmentP(sK3,sK2) ),
inference(definition_unfolding,[],[f161,f167,f166,f167]) ).
fof(f222,plain,
( ~ singletonP(sK2)
| ~ segmentP(sK3,sK2) ),
inference(definition_unfolding,[],[f160,f167,f166,f166]) ).
fof(f223,plain,
ssList(sK3),
inference(definition_unfolding,[],[f157,f167]) ).
fof(f224,plain,
ssList(sK2),
inference(definition_unfolding,[],[f156,f166]) ).
fof(f229,plain,
! [X1] :
( ~ ssList(cons(X1,nil))
| ~ ssItem(X1)
| singletonP(cons(X1,nil)) ),
inference(equality_resolution,[],[f200]) ).
fof(f231,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,[],[f211]) ).
tcf(c_49,negated_conjecture,
( ( nil = sK2 )
| ( nil != sK3 ) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_50,negated_conjecture,
( ( cons(sK4,nil) = sK2 )
| ~ neq(sK3,nil) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_51,negated_conjecture,
( memberP(sK3,sK4)
| ~ neq(sK3,nil) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_52,negated_conjecture,
( ssItem(sK4)
| ~ neq(sK3,nil) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_53,negated_conjecture,
( neq(sK3,nil)
| ~ segmentP(sK3,sK2) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_54,negated_conjecture,
( ~ singletonP(sK2)
| ~ segmentP(sK3,sK2) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_57,negated_conjecture,
ssList(sK3),
inference(cnf_transformation,[],[f223]) ).
tcf(c_58,negated_conjecture,
ssList(sK2),
inference(cnf_transformation,[],[f224]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X0,nil),X1) = cons(X0,X1) )
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ( cons(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_73,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_76,plain,
ssList(nil),
inference(cnf_transformation,[],[f185]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( ssList(sK9(X0,X1))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f195]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] :
( ssList(sK10(X0,X1))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] :
( ( app(sK9(X0,X1),cons(X1,sK10(X0,X1))) = X0 )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_89,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(cnf_transformation,[],[f229]) ).
tcf(c_94,plain,
! [X0: $i] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_99,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,[],[f231]) ).
tcf(c_103,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_110,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_991,plain,
( ssItem(sK4)
| ~ segmentP(sK3,sK2) ),
inference(resolution,[status(thm)],[c_53,c_52]) ).
tcf(c_1026,plain,
! [X0: $i,X1: $i] :
( ssItem(sK4)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != sK3 )
| ( X0 != nil ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_72]) ).
tcf(c_1027,plain,
( ssItem(sK4)
| ( nil = sK3 )
| ~ ssList(sK3)
| ~ ssList(nil) ),
inference(unflattening,[status(thm)],[c_1026]) ).
tcf(c_1028,plain,
( ssItem(sK4)
| ( nil = sK3 ) ),
inference(global_subsumption_just,[status(thm)],[c_1027,c_57,c_76,c_1027]) ).
tcf(c_1050,plain,
! [X0: $i,X1: $i] :
( memberP(sK3,sK4)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != sK3 )
| ( X0 != nil ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_72]) ).
tcf(c_1051,plain,
( memberP(sK3,sK4)
| ( nil = sK3 )
| ~ ssList(sK3)
| ~ ssList(nil) ),
inference(unflattening,[status(thm)],[c_1050]) ).
tcf(c_1052,plain,
( memberP(sK3,sK4)
| ( nil = sK3 ) ),
inference(global_subsumption_just,[status(thm)],[c_1051,c_57,c_76,c_1051]) ).
tcf(c_1074,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( cons(sK4,nil) = sK2 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != sK3 )
| ( X0 != nil ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_72]) ).
tcf(c_1075,plain,
( ( nil = sK3 )
| ( cons(sK4,nil) = sK2 )
| ~ ssList(sK3)
| ~ ssList(nil) ),
inference(unflattening,[status(thm)],[c_1074]) ).
tcf(c_1076,plain,
( ( nil = sK3 )
| ( cons(sK4,nil) = sK2 ) ),
inference(global_subsumption_just,[status(thm)],[c_1075,c_57,c_76,c_1075]) ).
tcf(c_1095,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sK3,sK2)
| ( X0 != sK3 )
| ( X0 != nil ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_73]) ).
tcf(c_1096,plain,
( ~ ssList(nil)
| ~ segmentP(sK3,sK2)
| ( nil != sK3 ) ),
inference(unflattening,[status(thm)],[c_1095]) ).
tcf(c_1943,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_1945,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_1949,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(X0,X2)
| ~ segmentP(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_2891,plain,
app(sK3,nil) = sK3,
inference(superposition,[status(thm)],[c_57,c_103]) ).
tcf(c_2923,plain,
app(nil,sK2) = sK2,
inference(superposition,[status(thm)],[c_58,c_110]) ).
tcf(c_3140,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_71,c_89]) ).
tcf(c_3142,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3140,c_76]) ).
tcf(c_3180,plain,
( singletonP(sK2)
| ( nil = sK3 )
| ~ ssItem(sK4) ),
inference(superposition,[status(thm)],[c_1076,c_3142]) ).
tcf(c_3573,plain,
! [X0: $i,X1: $i] :
( segmentP(sK3,sK2)
| ~ segmentP(X1,X0)
| ( sK3 != X1 )
| ( sK2 != X0 ) ),
inference(instantiation,[status(thm)],[c_1949]) ).
tcf(c_3838,plain,
sK2 = sK2,
inference(instantiation,[status(thm)],[c_1943]) ).
tcf(c_3840,plain,
! [X0: $i,X1: $i] :
( ( sK2 = X0 )
| ( sK2 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_1945]) ).
tcf(c_4345,negated_conjecture,
~ segmentP(sK3,sK2),
inference(global_subsumption_just,[status(thm)],[c_54,c_76,c_54,c_991,c_1096,c_3180]) ).
tcf(c_4470,plain,
app(nil,sK2) = sK2,
inference(superposition,[status(thm)],[c_58,c_110]) ).
tcf(c_5892,plain,
! [X0: $i] :
( segmentP(sK3,sK2)
| ~ segmentP(sK3,X0)
| ( sK3 != sK3 )
| ( sK2 != X0 ) ),
inference(instantiation,[status(thm)],[c_3573]) ).
tcf(c_5893,plain,
sK3 = sK3,
inference(instantiation,[status(thm)],[c_1943]) ).
tcf(c_5894,plain,
( segmentP(sK3,sK2)
| ~ segmentP(sK3,nil)
| ( sK3 != sK3 )
| ( sK2 != nil ) ),
inference(instantiation,[status(thm)],[c_5892]) ).
tcf(c_5895,plain,
! [X0: $i,X1: $i] :
( ( sK3 = X0 )
| ( sK3 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_1945]) ).
tcf(c_5902,plain,
( ( nil = sK3 )
| ~ ssList(nil)
| ~ ssItem(sK4)
| ( nil != sK2 ) ),
inference(superposition,[status(thm)],[c_1076,c_64]) ).
tcf(c_5904,plain,
( ( nil = sK3 )
| ~ ssItem(sK4)
| ( nil != sK2 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5902,c_76]) ).
tcf(c_6088,plain,
( segmentP(sK3,nil)
| ~ ssList(sK3) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_7209,plain,
! [X0: $i] :
( ( sK2 = X0 )
| ( sK2 != sK2 )
| ( X0 != sK2 ) ),
inference(instantiation,[status(thm)],[c_3840]) ).
tcf(c_7210,plain,
( ( sK2 = nil )
| ( sK2 != sK2 )
| ( nil != sK2 ) ),
inference(instantiation,[status(thm)],[c_7209]) ).
tcf(c_7211,plain,
nil != sK2,
inference(global_subsumption_just,[status(thm)],[c_5904,c_57,c_76,c_54,c_991,c_1096,c_3180,c_3838,c_5894,c_5893,c_6088,c_7210]) ).
tcf(c_7213,plain,
nil != sK3,
inference(backward_subsumption_resolution,[status(thm)],[c_49,c_7211]) ).
tcf(c_7238,plain,
memberP(sK3,sK4),
inference(backward_subsumption_resolution,[status(thm)],[c_1052,c_7213]) ).
tcf(c_7239,plain,
ssItem(sK4),
inference(backward_subsumption_resolution,[status(thm)],[c_1028,c_7213]) ).
tcf(c_8062,plain,
! [X0: $i] :
( segmentP(app(sK2,X0),sK2)
| ~ ssList(sK2)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sK2),X0)) ),
inference(superposition,[status(thm)],[c_2923,c_99]) ).
tcf(c_8117,plain,
! [X0: $i] :
( segmentP(app(sK2,X0),sK2)
| ~ ssList(sK2)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK2,X0)) ),
inference(light_normalisation,[status(thm)],[c_8062,c_2923]) ).
tcf(c_8118,plain,
! [X0: $i] :
( segmentP(app(sK2,X0),sK2)
| ~ ssList(X0)
| ~ ssList(app(sK2,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8117,c_58,c_76]) ).
tcf(c_11125,plain,
( ( app(sK9(sK3,sK4),cons(sK4,sK10(sK3,sK4))) = sK3 )
| ~ ssList(sK3)
| ~ ssItem(sK4) ),
inference(superposition,[status(thm)],[c_7238,c_87]) ).
tcf(c_11138,plain,
app(sK9(sK3,sK4),cons(sK4,sK10(sK3,sK4))) = sK3,
inference(forward_subsumption_resolution,[status(thm)],[c_11125,c_57,c_7239]) ).
tcf(c_14094,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK3,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK9(sK3,sK4))
| ~ ssList(cons(sK4,sK10(sK3,sK4)))
| ~ segmentP(cons(sK4,sK10(sK3,sK4)),X0) ),
inference(superposition,[status(thm)],[c_11138,c_95]) ).
tcf(c_15085,plain,
! [X0: $i] :
( segmentP(app(sK2,X0),sK2)
| ~ ssList(sK2)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sK2),X0)) ),
inference(superposition,[status(thm)],[c_4470,c_99]) ).
tcf(c_15117,plain,
! [X0: $i] :
( segmentP(app(sK2,X0),sK2)
| ~ ssList(sK2)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK2,X0)) ),
inference(light_normalisation,[status(thm)],[c_15085,c_4470]) ).
tcf(c_15118,plain,
! [X0: $i] :
( segmentP(app(sK2,X0),sK2)
| ~ ssList(X0)
| ~ ssList(app(sK2,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15117,c_58,c_76]) ).
tcf(c_15475,plain,
! [X0: $i] :
( ssList(sK10(X0,sK4))
| ~ ssItem(sK4)
| ~ ssList(X0)
| ~ memberP(X0,sK4) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_15476,plain,
! [X0: $i] :
( ssList(sK9(X0,sK4))
| ~ ssItem(sK4)
| ~ ssList(X0)
| ~ memberP(X0,sK4) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_16597,plain,
! [X0: $i] :
( ssList(app(sK2,X0))
| ~ ssList(sK2)
| ~ ssList(X0) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_17664,plain,
! [X0: $i] :
( segmentP(app(sK2,X0),sK2)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_15118,c_58,c_8118,c_16597]) ).
tcf(c_21556,plain,
! [X0: $i] :
( ( sK3 = X0 )
| ( sK3 != sK3 )
| ( X0 != sK3 ) ),
inference(instantiation,[status(thm)],[c_5895]) ).
tcf(c_33914,plain,
( ssList(sK10(sK3,sK4))
| ~ ssList(sK3)
| ~ ssItem(sK4)
| ~ memberP(sK3,sK4) ),
inference(instantiation,[status(thm)],[c_15475]) ).
tcf(c_33917,plain,
( ssList(sK9(sK3,sK4))
| ~ ssList(sK3)
| ~ ssItem(sK4)
| ~ memberP(sK3,sK4) ),
inference(instantiation,[status(thm)],[c_15476]) ).
tcf(c_55233,plain,
( ( sK3 = app(sK3,nil) )
| ( sK3 != sK3 )
| ( app(sK3,nil) != sK3 ) ),
inference(instantiation,[status(thm)],[c_21556]) ).
tcf(c_342450,plain,
ssItem(sK4),
inference(global_subsumption_just,[status(thm)],[c_1028,c_57,c_76,c_54,c_49,c_991,c_1028,c_1096,c_3180,c_3838,c_5894,c_5893,c_6088,c_7210]) ).
tcf(c_342453,plain,
! [X0: $i] :
( ( app(cons(sK4,nil),X0) = cons(sK4,X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_342450,c_62]) ).
tcf(c_342496,plain,
memberP(sK3,sK4),
inference(global_subsumption_just,[status(thm)],[c_1052,c_57,c_49,c_1052,c_3838,c_4345,c_5894,c_5893,c_6088,c_7210]) ).
tcf(c_342552,plain,
( ( app(sK9(sK3,sK4),cons(sK4,sK10(sK3,sK4))) = sK3 )
| ~ ssList(sK3)
| ~ ssItem(sK4) ),
inference(superposition,[status(thm)],[c_342496,c_87]) ).
tcf(c_342558,plain,
app(sK9(sK3,sK4),cons(sK4,sK10(sK3,sK4))) = sK3,
inference(forward_subsumption_resolution,[status(thm)],[c_342552,c_57,c_342450]) ).
tcf(c_342836,plain,
app(nil,sK2) = sK2,
inference(superposition,[status(thm)],[c_58,c_110]) ).
tcf(c_342950,plain,
! [X0: $i] :
( segmentP(app(sK2,X0),sK2)
| ~ ssList(sK2)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sK2),X0)) ),
inference(superposition,[status(thm)],[c_342836,c_99]) ).
tcf(c_342960,plain,
! [X0: $i] :
( segmentP(app(sK2,X0),sK2)
| ~ ssList(sK2)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK2,X0)) ),
inference(light_normalisation,[status(thm)],[c_342950,c_342836]) ).
tcf(c_342961,plain,
! [X0: $i] :
( segmentP(app(sK2,X0),sK2)
| ~ ssList(X0)
| ~ ssList(app(sK2,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_342960,c_58,c_76]) ).
tcf(c_343087,plain,
cons(sK4,nil) = sK2,
inference(global_subsumption_just,[status(thm)],[c_1076,c_57,c_76,c_54,c_49,c_991,c_1075,c_1096,c_3180,c_3838,c_5894,c_5893,c_6088,c_7210]) ).
tcf(c_343268,plain,
! [X0: $i,X1: $i] :
( segmentP(sK3,sK2)
| ~ segmentP(X1,X0)
| ( sK3 != X1 )
| ( sK2 != X0 ) ),
inference(instantiation,[status(thm)],[c_1949]) ).
tcf(c_343785,plain,
! [X0: $i] :
( segmentP(sK3,sK2)
| ~ segmentP(X0,sK2)
| ( sK3 != X0 )
| ( sK2 != sK2 ) ),
inference(instantiation,[status(thm)],[c_343268]) ).
tcf(c_344085,plain,
! [X0: $i] :
( ( cons(sK4,X0) = app(sK2,X0) )
| ~ ssList(X0) ),
inference(light_normalisation,[status(thm)],[c_342453,c_343087]) ).
tcf(c_344098,plain,
! [X0: $i,X1: $i] :
( ( cons(sK4,sK10(X0,X1)) = app(sK2,sK10(X0,X1)) )
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
inference(superposition,[status(thm)],[c_86,c_344085]) ).
tcf(c_345085,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK3,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(sK9(sK3,sK4))
| ~ ssList(cons(sK4,sK10(sK3,sK4)))
| ~ segmentP(cons(sK4,sK10(sK3,sK4)),X0) ),
inference(superposition,[status(thm)],[c_342558,c_95]) ).
tcf(c_351356,plain,
! [X0: $i] :
( segmentP(app(sK2,X0),sK2)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_342961,c_17664]) ).
tcf(c_386720,plain,
( ( cons(sK4,sK10(sK3,sK4)) = app(sK2,sK10(sK3,sK4)) )
| ~ ssList(sK3)
| ~ ssItem(sK4) ),
inference(superposition,[status(thm)],[c_342496,c_344098]) ).
tcf(c_386745,plain,
cons(sK4,sK10(sK3,sK4)) = app(sK2,sK10(sK3,sK4)),
inference(forward_subsumption_resolution,[status(thm)],[c_386720,c_57,c_342450]) ).
tcf(c_388039,plain,
( segmentP(sK3,sK2)
| ~ segmentP(app(sK3,nil),sK2)
| ( sK3 != app(sK3,nil) )
| ( sK2 != sK2 ) ),
inference(instantiation,[status(thm)],[c_343785]) ).
tcf(c_403070,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK3,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(cons(sK4,sK10(sK3,sK4)),X0)
| ~ ssList(cons(sK4,sK10(sK3,sK4))) ),
inference(global_subsumption_just,[status(thm)],[c_345085,c_57,c_76,c_54,c_49,c_991,c_1027,c_1051,c_1096,c_3180,c_3838,c_5894,c_5893,c_6088,c_7210,c_14094,c_33917]) ).
tcf(c_403071,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK3,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(cons(sK4,sK10(sK3,sK4)))
| ~ segmentP(cons(sK4,sK10(sK3,sK4)),X0) ),
inference(renaming,[status(thm)],[c_403070]) ).
tcf(c_403072,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sK3,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(sK2,sK10(sK3,sK4)))
| ~ segmentP(app(sK2,sK10(sK3,sK4)),X0) ),
inference(light_normalisation,[status(thm)],[c_403071,c_386745]) ).
tcf(c_403093,plain,
! [X0: $i] :
( segmentP(app(sK3,X0),sK2)
| ~ ssList(sK2)
| ~ ssList(X0)
| ~ ssList(sK10(sK3,sK4))
| ~ ssList(app(sK2,sK10(sK3,sK4))) ),
inference(superposition,[status(thm)],[c_351356,c_403072]) ).
tcf(c_403098,plain,
! [X0: $i] :
( segmentP(app(sK3,X0),sK2)
| ~ ssList(X0)
| ~ ssList(sK10(sK3,sK4))
| ~ ssList(app(sK2,sK10(sK3,sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_403093,c_58]) ).
tcf(c_403111,plain,
( segmentP(app(sK3,nil),sK2)
| ~ ssList(nil)
| ~ ssList(sK10(sK3,sK4))
| ~ ssList(app(sK2,sK10(sK3,sK4))) ),
inference(instantiation,[status(thm)],[c_403098]) ).
tcf(c_520296,plain,
( ssList(app(sK2,sK10(sK3,sK4)))
| ~ ssItem(sK4)
| ~ ssList(sK10(sK3,sK4)) ),
inference(superposition,[status(thm)],[c_386745,c_71]) ).
tcf(c_520314,plain,
( ssList(app(sK2,sK10(sK3,sK4)))
| ~ ssList(sK10(sK3,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_520296,c_342450]) ).
tcf(c_520434,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_520314,c_403111,c_388039,c_55233,c_33914,c_7210,c_6088,c_5893,c_5894,c_4345,c_3838,c_2891,c_1052,c_1028,c_49,c_76,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC390+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 18:02:24 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 0.09/0.41
% 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...
% 250.87/38.96 % SZS status Started for theBenchmark.p
% 250.87/38.96 % SZS status Theorem for theBenchmark.p
% 250.87/38.96
% 250.87/38.96 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 250.87/38.96
% 250.87/38.96 % ------ iProver source info
% 250.87/38.96
% 250.87/38.96 % git: date: 2026-07-19 20:42:38 +0200
% 250.87/38.96 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 250.87/38.96 % git: non_committed_changes: false
% 250.87/38.96
% 250.87/38.96 % ------ Parsing...
% 250.87/38.96 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 250.87/38.96
% 250.87/38.96 % ------ 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 %
% 250.87/38.96
% 250.87/38.96 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 250.87/38.96
% 250.87/38.96 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 250.87/38.96 % ------ Proving...
% 250.87/38.96 % ------ Problem Properties
% 250.87/38.96
% 250.87/38.96 %
% 250.87/38.96 % clauses 60
% 250.87/38.96 % conjectures 4
% 250.87/38.96 % EPR 21
% 250.87/38.96 % Horn 52
% 250.87/38.96 % unary 9
% 250.87/38.96 % binary 14
% 250.87/38.96 % lits 192
% 250.87/38.96 % lits eq 39
% 250.87/38.96 % fd_pure 0
% 250.87/38.96 % fd_pseudo 0
% 250.87/38.96 % fd_cond 5
% 250.87/38.96 % fd_pseudo_cond 6
% 250.87/38.96 % AC symbols 0
% 250.87/38.96
% 250.87/38.96 % ------ Schedule dynamic 5 is on
% 250.87/38.96
% 250.87/38.96 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 250.87/38.96
% 250.87/38.96
% 250.87/38.96 % ------
% 250.87/38.96 % Current options:
% 250.87/38.96 % ------
% 250.87/38.96
% 250.87/38.96
% 250.87/38.96 %
% 250.87/38.96
% 250.87/38.96 % ------ Proving...
% 250.87/38.96 % Proof_search_loop: time out after: 4601 full_loop iterations
% 250.87/38.96
% 250.87/38.96 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 250.87/38.96
% 250.87/38.96
% 250.87/38.96 % ------
% 250.87/38.96 % Current options:
% 250.87/38.96 % ------
% 250.87/38.96
% 250.87/38.96
% 250.87/38.96 %
% 250.87/38.96
% 250.87/38.96 % ------ Proving...
% 250.87/38.96 % Proof_search_loop: time out after: 4687 full_loop iterations
% 250.87/38.96
% 250.87/38.96 % ------ Option_1: Negative Selections Time Limit: 35.
% 250.87/38.96
% 250.87/38.96
% 250.87/38.96 % ------
% 250.87/38.96 % Current options:
% 250.87/38.96 % ------
% 250.87/38.96
% 250.87/38.96
% 250.87/38.96 %
% 250.87/38.96
% 250.87/38.96 % ------ Proving...
% 250.87/38.96 %
% 250.87/38.96
% 250.87/38.96 % SZS status Theorem for theBenchmark.p
% 250.87/38.96
% 250.87/38.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 250.87/38.96
% 250.87/38.96
%------------------------------------------------------------------------------