%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC057+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 : n019.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 03:07:42 PM UTC 2026
% Result : Theorem 4.33s 1.31s
% Output : CNFRefutation 4.33s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f237ERROR: Could not build tree for root c_6361ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
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(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax83) ).
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] :
( ( ( ~ frontsegP(X3,X2)
| ~ neq(X2,nil) )
& ( nil != X2
| nil != X3 ) )
| ( ( ? [X4] :
( segmentP(X0,X4)
& segmentP(X1,X4)
& neq(X4,nil)
& ssList(X4) )
| ~ neq(X1,nil) )
& ( nil = X0
| nil != X1 ) )
| 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] :
( ( ( ~ frontsegP(X3,X2)
| ~ neq(X2,nil) )
& ( nil != X2
| nil != X3 ) )
| ( ( ? [X4] :
( segmentP(X0,X4)
& segmentP(X1,X4)
& neq(X4,nil)
& ssList(X4) )
| ~ neq(X1,nil) )
& ( nil = X0
| nil != X1 ) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f98,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ( ( frontsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& ( ( ! [X4] :
( ~ segmentP(X0,X4)
| ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& neq(X1,nil) )
| ( nil != X0
& nil = X1 ) )
& X0 = X2
& X1 = X3
& ssList(X3) ) ) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f114,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f124,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(f131,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(ennf_transformation,[],[f84]) ).
fof(f132,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
inference(ennf_transformation,[],[f83]) ).
fof(f138,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(ennf_transformation,[],[f28]) ).
fof(f140,plain,
( ssList(sK0)
& ssList(sK1)
& ssList(sK2)
& ( ( frontsegP(sK3,sK2)
& neq(sK2,nil) )
| ( nil = sK2
& nil = sK3 ) )
& ( ( ! [X4] :
( ~ segmentP(sK0,X4)
| ~ segmentP(sK1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& neq(sK1,nil) )
| ( nil != sK0
& nil = sK1 ) )
& sK0 = sK2
& sK1 = sK3
& ssList(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f98]) ).
fof(f148,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,[],[f114]) ).
fof(f149,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,[],[f148]) ).
fof(f150,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ frontsegP(X0,X1)
| ( app(X1,sK8(X0,X1)) = X0
& ssList(sK8(X0,X1)) ) )
& ( ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) )
| frontsegP(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X3,sK8(X0,X1))],[f149]) ).
fof(f152,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,[],[f124]) ).
fof(f153,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,[],[f152]) ).
fof(f154,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ~ segmentP(X0,X1)
| ( app(app(sK9(X0,X1),X1),sK10(X0,X1)) = X0
& ssList(sK10(X0,X1))
& ssList(sK9(X0,X1)) ) )
& ( ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) )
| segmentP(X0,X1) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X4,sK9(X0,X1)),skolemize(X5,sK10(X0,X1))],[f153]) ).
fof(f155,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,[],[f132]) ).
fof(f156,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,[],[f155]) ).
fof(f157,plain,
ssList(sK0),
inference(cnf_transformation,[],[f140]) ).
fof(f158,plain,
ssList(sK1),
inference(cnf_transformation,[],[f140]) ).
fof(f160,plain,
( frontsegP(sK3,sK2)
| nil = sK2 ),
inference(cnf_transformation,[],[f140]) ).
fof(f161,plain,
( neq(sK2,nil)
| nil = sK2 ),
inference(cnf_transformation,[],[f140]) ).
fof(f162,plain,
( frontsegP(sK3,sK2)
| nil = sK3 ),
inference(cnf_transformation,[],[f140]) ).
fof(f163,plain,
( neq(sK2,nil)
| nil = sK3 ),
inference(cnf_transformation,[],[f140]) ).
fof(f164,plain,
! [X4] :
( ~ segmentP(sK0,X4)
| ~ segmentP(sK1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| nil != sK0 ),
inference(cnf_transformation,[],[f140]) ).
fof(f165,plain,
( neq(sK1,nil)
| nil != sK0 ),
inference(cnf_transformation,[],[f140]) ).
fof(f166,plain,
! [X4] :
( ~ segmentP(sK0,X4)
| ~ segmentP(sK1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| nil = sK1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f168,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f140]) ).
fof(f169,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f140]) ).
fof(f182,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f193,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| app(X1,sK8(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f150]) ).
fof(f194,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ssList(sK8(X0,X1)) ),
inference(cnf_transformation,[],[f150]) ).
fof(f206,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,[],[f154]) ).
fof(f213,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f214,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1)
| nil = X0 ),
inference(cnf_transformation,[],[f156]) ).
fof(f220,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f138]) ).
fof(f223,plain,
! [X4] :
( ~ segmentP(sK2,X4)
| ~ segmentP(sK3,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| nil = sK3 ),
inference(definition_unfolding,[],[f166,f169,f169,f168]) ).
fof(f224,plain,
( neq(sK3,nil)
| nil != sK2 ),
inference(definition_unfolding,[],[f165,f168,f169]) ).
fof(f225,plain,
! [X4] :
( ~ segmentP(sK2,X4)
| ~ segmentP(sK3,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| nil != sK2 ),
inference(definition_unfolding,[],[f164,f168,f169,f168]) ).
fof(f226,plain,
ssList(sK3),
inference(definition_unfolding,[],[f158,f169]) ).
fof(f227,plain,
ssList(sK2),
inference(definition_unfolding,[],[f157,f168]) ).
fof(f234,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,[],[f206]) ).
tcf(c_51,negated_conjecture,
! [X0: $i] :
( ( sK3 = nil )
| ~ ssList(X0)
| ~ segmentP(sK2,X0)
| ~ segmentP(sK3,X0)
| ~ neq(X0,nil) ),
inference(cnf_transformation,[],[f223]) ).
tcf(c_52,negated_conjecture,
( neq(sK3,nil)
| ( nil != sK2 ) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_53,negated_conjecture,
! [X0: $i] :
( ~ ssList(X0)
| ~ segmentP(sK2,X0)
| ~ segmentP(sK3,X0)
| ~ neq(X0,nil)
| ( nil != sK2 ) ),
inference(cnf_transformation,[],[f225]) ).
tcf(c_54,negated_conjecture,
( neq(sK2,nil)
| ( sK3 = nil ) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_55,negated_conjecture,
( frontsegP(sK3,sK2)
| ( sK3 = nil ) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_56,negated_conjecture,
( neq(sK2,nil)
| ( nil = sK2 ) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_57,negated_conjecture,
( frontsegP(sK3,sK2)
| ( nil = sK2 ) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_59,negated_conjecture,
ssList(sK3),
inference(cnf_transformation,[],[f226]) ).
tcf(c_60,negated_conjecture,
ssList(sK2),
inference(cnf_transformation,[],[f227]) ).
tcf(c_65,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(cnf_transformation,[],[f237]) ).
tcf(c_72,plain,
ssList(nil),
inference(cnf_transformation,[],[f182]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( ssList(sK8(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( ( app(X1,sK8(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_93,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,[],[f234]) ).
tcf(c_103,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_110,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_988,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( nil != sK2 )
| ( X0 != nil )
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_65]) ).
tcf(c_989,plain,
( ~ ssList(sK3)
| ( nil != sK2 )
| ( sK3 != nil ) ),
inference(unflattening,[status(thm)],[c_988]) ).
tcf(c_1004,plain,
! [X0: $i] :
( ( sK3 = nil )
| ~ ssList(X0)
| ~ segmentP(sK2,X0)
| ~ segmentP(sK3,X0)
| ( nil != sK2 )
| ( nil != nil )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_54]) ).
tcf(c_1005,plain,
( ( sK3 = nil )
| ~ ssList(sK2)
| ~ segmentP(sK2,sK2)
| ~ segmentP(sK3,sK2)
| ( nil != sK2 ) ),
inference(unflattening,[status(thm)],[c_1004]) ).
tcf(c_1006,plain,
( ~ segmentP(sK2,sK2)
| ~ segmentP(sK3,sK2)
| ( nil != sK2 ) ),
inference(global_subsumption_just,[status(thm)],[c_1005,c_60,c_59,c_989,c_1005]) ).
tcf(c_1017,plain,
! [X0: $i] :
( ( nil = sK2 )
| ( sK3 = nil )
| ~ ssList(X0)
| ~ segmentP(sK2,X0)
| ~ segmentP(sK3,X0)
| ( nil != nil )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_56]) ).
tcf(c_1018,plain,
( ( nil = sK2 )
| ( sK3 = nil )
| ~ ssList(sK2)
| ~ segmentP(sK2,sK2)
| ~ segmentP(sK3,sK2) ),
inference(unflattening,[status(thm)],[c_1017]) ).
tcf(c_1019,plain,
( ~ segmentP(sK2,sK2)
| ~ segmentP(sK3,sK2)
| ( sK3 = nil ) ),
inference(global_subsumption_just,[status(thm)],[c_1018,c_60,c_1006,c_1018]) ).
tcf(c_1020,plain,
( ( sK3 = nil )
| ~ segmentP(sK2,sK2)
| ~ segmentP(sK3,sK2) ),
inference(renaming,[status(thm)],[c_1019]) ).
tcf(c_1136,plain,
! [X0: $i] :
( ( sK3 = nil )
| ~ ssList(X0)
| ( X0 != sK2 )
| ( X0 != nil ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_65]) ).
tcf(c_1137,plain,
( ( sK3 = nil )
| ~ ssList(nil)
| ( nil != sK2 ) ),
inference(unflattening,[status(thm)],[c_1136]) ).
tcf(c_1138,plain,
nil != sK2,
inference(global_subsumption_just,[status(thm)],[c_1137,c_59,c_72,c_989,c_1137]) ).
tcf(c_1164,negated_conjecture,
frontsegP(sK3,sK2),
inference(global_subsumption_just,[status(thm)],[c_55,c_57,c_1138]) ).
tcf(c_3458,plain,
app(sK2,nil) = sK2,
inference(superposition,[status(thm)],[c_60,c_103]) ).
tcf(c_3465,plain,
app(nil,sK2) = sK2,
inference(superposition,[status(thm)],[c_60,c_110]) ).
tcf(c_4013,plain,
( ( app(sK2,sK8(sK3,sK2)) = sK3 )
| ~ ssList(sK2)
| ~ ssList(sK3) ),
inference(superposition,[status(thm)],[c_1164,c_85]) ).
tcf(c_4034,plain,
app(sK2,sK8(sK3,sK2)) = sK3,
inference(forward_subsumption_resolution,[status(thm)],[c_4013,c_60,c_59]) ).
tcf(c_4210,plain,
( ( nil = sK2 )
| ~ ssList(sK2)
| ~ ssList(sK8(sK3,sK2))
| ( sK3 != nil ) ),
inference(superposition,[status(thm)],[c_4034,c_106]) ).
tcf(c_4214,plain,
( ~ ssList(sK8(sK3,sK2))
| ( sK3 != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4210,c_1138,c_60]) ).
tcf(c_5817,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_3465,c_93]) ).
tcf(c_5838,plain,
! [X0: $i] :
( segmentP(app(sK2,X0),sK2)
| ~ ssList(sK2)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(sK2,X0)) ),
inference(light_normalisation,[status(thm)],[c_5817,c_3465]) ).
tcf(c_5839,plain,
! [X0: $i] :
( segmentP(app(sK2,X0),sK2)
| ~ ssList(X0)
| ~ ssList(app(sK2,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5838,c_60,c_72]) ).
tcf(c_6303,plain,
( segmentP(sK2,sK2)
| ~ ssList(nil)
| ~ ssList(app(sK2,nil)) ),
inference(superposition,[status(thm)],[c_3458,c_5839]) ).
tcf(c_6304,plain,
( segmentP(sK3,sK2)
| ~ ssList(sK8(sK3,sK2))
| ~ ssList(app(sK2,sK8(sK3,sK2))) ),
inference(superposition,[status(thm)],[c_4034,c_5839]) ).
tcf(c_6309,plain,
( segmentP(sK2,sK2)
| ~ ssList(sK2)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_6303,c_3458]) ).
tcf(c_6310,plain,
segmentP(sK2,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_6309,c_60,c_72]) ).
tcf(c_6311,plain,
( segmentP(sK3,sK2)
| ~ ssList(sK3)
| ~ ssList(sK8(sK3,sK2)) ),
inference(light_normalisation,[status(thm)],[c_6304,c_4034]) ).
tcf(c_6312,plain,
( segmentP(sK3,sK2)
| ~ ssList(sK8(sK3,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6311,c_59]) ).
tcf(c_6358,plain,
~ ssList(sK8(sK3,sK2)),
inference(global_subsumption_just,[status(thm)],[c_6312,c_1020,c_4214,c_6310,c_6312]) ).
tcf(c_6360,plain,
( ~ ssList(sK2)
| ~ ssList(sK3)
| ~ frontsegP(sK3,sK2) ),
inference(superposition,[status(thm)],[c_84,c_6358]) ).
tcf(c_6361,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6360,c_60,c_59,c_1164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC057+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n019.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Thu Sep 24 16:09:35 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 4.33/1.31 % SZS status Started for theBenchmark.p
% 4.33/1.31 % SZS status Theorem for theBenchmark.p
% 4.33/1.31
% 4.33/1.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.33/1.31
% 4.33/1.31 % ------ iProver source info
% 4.33/1.31
% 4.33/1.31 % git: date: 2026-07-19 20:42:38 +0200
% 4.33/1.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.33/1.31 % git: non_committed_changes: false
% 4.33/1.31
% 4.33/1.31 % ------ Parsing...
% 4.33/1.31 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.33/1.31
% 4.33/1.31 % ------ 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 sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 4.33/1.31
% 4.33/1.31 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.33/1.31
% 4.33/1.31 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.33/1.31 % ------ Proving...
% 4.33/1.31 % ------ Problem Properties
% 4.33/1.31
% 4.33/1.31 %
% 4.33/1.31 % clauses 54
% 4.33/1.31 % conjectures 3
% 4.33/1.31 % EPR 23
% 4.33/1.31 % Horn 50
% 4.33/1.31 % unary 11
% 4.33/1.31 % binary 6
% 4.33/1.31 % lits 180
% 4.33/1.31 % lits eq 37
% 4.33/1.31 % fd_pure 0
% 4.33/1.31 % fd_pseudo 0
% 4.33/1.31 % fd_cond 7
% 4.33/1.31 % fd_pseudo_cond 7
% 4.33/1.31 % AC symbols 0
% 4.33/1.31
% 4.33/1.31 % ------ Schedule dynamic 5 is on
% 4.33/1.31
% 4.33/1.31 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.33/1.31
% 4.33/1.31
% 4.33/1.31 % ------
% 4.33/1.31 % Current options:
% 4.33/1.31 % ------
% 4.33/1.31
% 4.33/1.31
% 4.33/1.31 %
% 4.33/1.31
% 4.33/1.31 % ------ Proving...
% 4.33/1.31 %
% 4.33/1.31
% 4.33/1.31 % SZS status Theorem for theBenchmark.p
% 4.33/1.31
% 4.33/1.31 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.33/1.31
% 4.33/1.31
%------------------------------------------------------------------------------