%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC297-1 : 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 : n009.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 03:09:12 PM UTC 2026
% Result : Unsatisfiable 26.43s 4.35s
% Output : CNFRefutation 26.43s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f251ERROR: Could not build tree for root c_59057ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause50) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause73) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause74) ).
fof(f77,axiom,
! [X0] :
( nil = X0
| ssList(tl(X0))
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause77) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f96,axiom,
! [X0,X1] :
( tl(cons(X0,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause96) ).
fof(f98,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause98) ).
fof(f99,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| nil != cons(X0,X1) ),
inference(reorient_equations,[],[f98]) ).
fof(f101,axiom,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
fof(f102,plain,
! [X0,X1] :
( X0 = X1
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(reorient_equations,[],[f101]) ).
fof(f121,axiom,
! [X0,X1] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause118) ).
fof(f122,plain,
! [X0,X1] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1) ),
inference(reorient_equations,[],[f121]) ).
fof(f123,axiom,
! [X0,X1] :
( nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause119) ).
fof(f124,plain,
! [X0,X1] :
( nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| nil != app(X0,X1) ),
inference(reorient_equations,[],[f123]) ).
fof(f125,axiom,
! [X0,X1] :
( app(cons(X0,nil),X1) = cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).
fof(f126,plain,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f125]) ).
fof(f142,axiom,
! [X0,X1] :
( app(skaf46(X0,X1),X1) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause131) ).
fof(f144,axiom,
! [X0,X1] :
( tl(app(X1,X0)) = app(tl(X1),X0)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause133) ).
fof(f151,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause140) ).
fof(f152,axiom,
! [X2,X0,X1] :
( memberP(app(X2,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause141) ).
fof(f154,axiom,
! [X2,X0,X1] :
( rearsegP(X2,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause143) ).
fof(f163,axiom,
! [X2,X0,X1] :
( X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) != app(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause151) ).
fof(f173,axiom,
! [X2,X0,X1] :
( X2 = X0
| memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ memberP(cons(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause161) ).
fof(f174,plain,
! [X2,X0,X1] :
( X0 = X2
| memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ memberP(cons(X0,X1),X2) ),
inference(reorient_equations,[],[f173]) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,plain,
sk1 = app(app(sk6,cons(sk5,nil)),sk7),
inference(reorient_equations,[],[f209]) ).
fof(f211,negated_conjecture,
ssItem(sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f212,negated_conjecture,
( memberP(sk7,sk8)
| memberP(sk6,sk8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f216,negated_conjecture,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f217,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f218,negated_conjecture,
( ~ neq(sk4,nil)
| cons(sk9,nil) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f219,plain,
( ~ neq(sk4,nil)
| sk3 = cons(sk9,nil) ),
inference(reorient_equations,[],[f218]) ).
fof(f223,plain,
sk3 = app(app(sk6,cons(sk5,nil)),sk7),
inference(definition_unfolding,[],[f210,f205]) ).
fof(f234,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(equality_resolution,[],[f154]) ).
tcf(c_260,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_302,plain,
! [X0: $i,X1: $i] : ssList(skaf46(X0,X1)),
inference(cnf_transformation,[],[f50]) ).
tcf(c_323,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_325,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_326,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_329,plain,
! [X0: $i] :
( ssList(tl(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_337,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_338,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_348,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(X1,X0)) = X0 )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_350,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_352,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_370,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_371,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_372,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X1,nil),X0) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_383,plain,
! [X0: $i,X1: $i] :
( ( app(skaf46(X0,X1),X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_385,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( app(tl(X1),X0) = tl(app(X1,X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_390,plain,
! [X0: $i,X1: $i] :
( memberP(cons(X1,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f251]) ).
tcf(c_392,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_393,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X2,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_395,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_403,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != app(X2,X1) ) ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_413,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X1,X2)
| ( X0 = X2 )
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ memberP(cons(X0,X1),X2) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_440,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_441,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_442,negated_conjecture,
ssItem(sk5),
inference(cnf_transformation,[],[f206]) ).
tcf(c_443,negated_conjecture,
ssList(sk6),
inference(cnf_transformation,[],[f207]) ).
tcf(c_444,negated_conjecture,
ssList(sk7),
inference(cnf_transformation,[],[f208]) ).
tcf(c_445,negated_conjecture,
app(app(sk6,cons(sk5,nil)),sk7) = sk3,
inference(cnf_transformation,[],[f223]) ).
tcf(c_446,negated_conjecture,
ssItem(sk8),
inference(cnf_transformation,[],[f211]) ).
tcf(c_447,negated_conjecture,
( memberP(sk7,sk8)
| memberP(sk6,sk8) ),
inference(cnf_transformation,[],[f212]) ).
tcf(c_451,negated_conjecture,
( ( sk3 = nil )
| ( sk4 != nil ) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_452,negated_conjecture,
( ssItem(sk9)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_453,negated_conjecture,
( ( cons(sk9,nil) = sk3 )
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_844,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_395,c_337]) ).
tcf(c_3060,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( cons(sk9,nil) = sk3 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_453,c_352]) ).
tcf(c_3061,plain,
( ( sk4 = nil )
| ( cons(sk9,nil) = sk3 )
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(unflattening,[status(thm)],[c_3060]) ).
tcf(c_3062,plain,
( ( sk4 = nil )
| ( cons(sk9,nil) = sk3 ) ),
inference(global_subsumption_just,[status(thm)],[c_3061,c_441,c_260,c_3061]) ).
tcf(c_3084,plain,
! [X0: $i,X1: $i] :
( ssItem(sk9)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_452,c_352]) ).
tcf(c_3085,plain,
( ssItem(sk9)
| ( sk4 = nil )
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(unflattening,[status(thm)],[c_3084]) ).
tcf(c_3086,plain,
( ssItem(sk9)
| ( sk4 = nil ) ),
inference(global_subsumption_just,[status(thm)],[c_3085,c_441,c_260,c_3085]) ).
tcf(c_6657,definition,
iPr_def_12 = cons(sk9,nil),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_6658,definition,
iPr_def_13 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_6659,definition,
iPr_def_14 = app(sk6,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_6660,definition,
iPr_def_15 = app(iPr_def_14,sk7),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_6661,plain,
( ssItem(sk9)
| ( sk4 = nil ) ),
inference(demodulation,[status(thm)],[c_3086]) ).
tcf(c_6662,plain,
( ( iPr_def_12 = sk3 )
| ( sk4 = nil ) ),
inference(demodulation,[status(thm)],[c_3062,c_6657]) ).
tcf(c_6664,negated_conjecture,
iPr_def_15 = sk3,
inference(demodulation,[status(thm)],[c_445,c_6658,c_6659,c_6660]) ).
tcf(c_6665,negated_conjecture,
( ( sk3 = nil )
| ( sk4 != nil ) ),
inference(demodulation,[status(thm)],[c_451]) ).
tcf(c_6669,negated_conjecture,
( memberP(sk7,sk8)
| memberP(sk6,sk8) ),
inference(demodulation,[status(thm)],[c_447]) ).
tcf(c_6671,negated_conjecture,
ssList(sk7),
inference(demodulation,[status(thm)],[c_444]) ).
tcf(c_6672,negated_conjecture,
ssList(sk6),
inference(demodulation,[status(thm)],[c_443]) ).
tcf(c_6673,negated_conjecture,
ssItem(sk5),
inference(demodulation,[status(thm)],[c_442]) ).
tcf(c_6674,negated_conjecture,
ssList(sk4),
inference(demodulation,[status(thm)],[c_441]) ).
tcf(c_6675,negated_conjecture,
ssList(sk3),
inference(demodulation,[status(thm)],[c_440]) ).
tcf(c_6676,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_6683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( memberP(X0,X2)
| ~ memberP(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_9252,plain,
ssList(iPr_def_15),
inference(light_normalisation,[status(thm)],[c_6675,c_6664]) ).
tcf(c_9267,plain,
( ( nil = iPr_def_15 )
| ( sk4 != nil ) ),
inference(light_normalisation,[status(thm)],[c_6665,c_6664]) ).
tcf(c_9282,plain,
( ( iPr_def_12 = iPr_def_15 )
| ( sk4 = nil ) ),
inference(light_normalisation,[status(thm)],[c_6662,c_6664]) ).
tcf(c_9290,plain,
( ( iPr_def_12 = iPr_def_15 )
| ( nil = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9282,c_9267]) ).
tcf(c_9801,plain,
app(nil,sk4) = sk4,
inference(superposition,[status(thm)],[c_6674,c_326]) ).
tcf(c_9832,plain,
app(nil,iPr_def_15) = iPr_def_15,
inference(superposition,[status(thm)],[c_9252,c_326]) ).
tcf(c_9888,plain,
( ssList(iPr_def_14)
| ~ ssList(iPr_def_13)
| ~ ssList(sk6) ),
inference(superposition,[status(thm)],[c_6659,c_337]) ).
tcf(c_9902,plain,
( ssList(iPr_def_14)
| ~ ssList(iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9888,c_6672]) ).
tcf(c_9988,plain,
( ssList(iPr_def_13)
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_6658,c_338]) ).
tcf(c_9989,plain,
( ssList(iPr_def_12)
| ~ ssItem(sk9)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_6657,c_338]) ).
tcf(c_9994,plain,
( ssList(iPr_def_12)
| ~ ssItem(sk9) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9989,c_260]) ).
tcf(c_9997,plain,
ssList(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_9988,c_6673,c_260]) ).
tcf(c_10008,plain,
ssList(iPr_def_14),
inference(backward_subsumption_resolution,[status(thm)],[c_9902,c_9997]) ).
tcf(c_10040,plain,
app(iPr_def_14,nil) = iPr_def_14,
inference(superposition,[status(thm)],[c_10008,c_325]) ).
tcf(c_10236,plain,
( ssList(iPr_def_12)
| ( sk4 = nil ) ),
inference(superposition,[status(thm)],[c_6661,c_9994]) ).
tcf(c_10256,plain,
( ( sk4 = nil )
| ( app(nil,iPr_def_12) = iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_10236,c_326]) ).
tcf(c_10331,plain,
( memberP(iPr_def_13,sk5)
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_6658,c_390]) ).
tcf(c_10338,plain,
memberP(iPr_def_13,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_10331,c_6673,c_260]) ).
tcf(c_10350,plain,
( rearsegP(iPr_def_14,iPr_def_13)
| ~ ssList(iPr_def_13)
| ~ ssList(sk6) ),
inference(superposition,[status(thm)],[c_6659,c_844]) ).
tcf(c_10366,plain,
( rearsegP(iPr_def_15,iPr_def_15)
| ~ ssList(iPr_def_15)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9832,c_844]) ).
tcf(c_10393,plain,
rearsegP(iPr_def_15,iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_10366,c_9252,c_260]) ).
tcf(c_10399,plain,
rearsegP(iPr_def_14,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_10350,c_9997,c_6672]) ).
tcf(c_10448,plain,
( ~ ssItem(sk8)
| ~ memberP(nil,sk8) ),
inference(instantiation,[status(thm)],[c_323]) ).
tcf(c_10656,plain,
! [X0: $i] :
( ( tl(cons(X0,sk4)) = sk4 )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_6674,c_348]) ).
tcf(c_11091,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ( nil != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6658,c_350]) ).
tcf(c_11098,plain,
nil != iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_11091,c_6673,c_260]) ).
tcf(c_11960,plain,
! [X0: $i] :
( ( app(cons(X0,nil),sk4) = cons(X0,sk4) )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_6674,c_372]) ).
tcf(c_12202,plain,
! [X0: $i,X1: $i] :
( memberP(X0,X1)
| ~ memberP(sk6,sk8)
| ( X1 != sk8 )
| ( X0 != sk6 ) ),
inference(instantiation,[status(thm)],[c_6683]) ).
tcf(c_12345,plain,
( ( nil = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(sk7)
| ( nil != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_6660,c_370]) ).
tcf(c_12385,plain,
( ( nil = iPr_def_14 )
| ( nil != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12345,c_10008,c_6671]) ).
tcf(c_12400,plain,
( ( nil = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sk6)
| ( nil != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6659,c_371]) ).
tcf(c_12444,plain,
nil != iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_12400,c_11098,c_9997,c_6672]) ).
tcf(c_12503,plain,
nil != iPr_def_15,
inference(global_subsumption_just,[status(thm)],[c_12385,c_12385,c_12444]) ).
tcf(c_12505,plain,
iPr_def_12 = iPr_def_15,
inference(backward_subsumption_resolution,[status(thm)],[c_9290,c_12503]) ).
tcf(c_12506,plain,
sk4 != nil,
inference(backward_subsumption_resolution,[status(thm)],[c_9267,c_12503]) ).
tcf(c_12507,plain,
nil != iPr_def_12,
inference(demodulation,[status(thm)],[c_12503,c_12505]) ).
tcf(c_12512,plain,
rearsegP(iPr_def_12,iPr_def_12),
inference(demodulation,[status(thm)],[c_10393,c_12505]) ).
tcf(c_12516,plain,
app(iPr_def_14,sk7) = iPr_def_12,
inference(demodulation,[status(thm)],[c_6660,c_12505]) ).
tcf(c_12518,plain,
ssList(iPr_def_12),
inference(demodulation,[status(thm)],[c_9252,c_12505]) ).
tcf(c_12526,plain,
ssItem(sk9),
inference(backward_subsumption_resolution,[status(thm)],[c_6661,c_12506]) ).
tcf(c_13281,plain,
( ( app(skaf46(iPr_def_14,iPr_def_13),iPr_def_13) = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_10399,c_383]) ).
tcf(c_13316,plain,
app(skaf46(iPr_def_14,iPr_def_13),iPr_def_13) = iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_13281,c_10008,c_9997]) ).
tcf(c_13861,plain,
app(cons(sk9,nil),sk4) = cons(sk9,sk4),
inference(superposition,[status(thm)],[c_12526,c_11960]) ).
tcf(c_13867,plain,
tl(cons(sk9,sk4)) = sk4,
inference(superposition,[status(thm)],[c_12526,c_10656]) ).
tcf(c_13868,plain,
cons(sk9,sk4) = app(iPr_def_12,sk4),
inference(light_normalisation,[status(thm)],[c_13861,c_6657]) ).
tcf(c_14061,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(sk6)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_6659,c_393]) ).
tcf(c_14090,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14061,c_9997,c_6672]) ).
tcf(c_14256,plain,
( ( app(skaf46(iPr_def_12,iPr_def_12),iPr_def_12) = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_12512,c_383]) ).
tcf(c_14258,plain,
app(skaf46(iPr_def_12,iPr_def_12),iPr_def_12) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_14256,c_12518]) ).
tcf(c_14643,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(tl(X0),sk4) = tl(app(X0,sk4)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6674,c_385]) ).
tcf(c_14645,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(tl(X0),sk7) = tl(app(X0,sk7)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6671,c_385]) ).
tcf(c_16042,plain,
( memberP(iPr_def_14,sk5)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_10338,c_14090]) ).
tcf(c_16043,plain,
memberP(iPr_def_14,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_16042,c_6673]) ).
tcf(c_16815,plain,
! [X0: $i] :
( ( X0 = sk6 )
| ~ ssList(iPr_def_13)
| ~ ssList(sk6)
| ~ ssList(X0)
| ( app(X0,iPr_def_13) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6659,c_403]) ).
tcf(c_16838,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(X0)
| ( app(X0,sk4) != sk4 ) ),
inference(superposition,[status(thm)],[c_9801,c_403]) ).
tcf(c_16883,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,sk4) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16838,c_260,c_6674]) ).
tcf(c_16899,plain,
! [X0: $i] :
( ( X0 = sk6 )
| ~ ssList(X0)
| ( app(X0,iPr_def_13) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16815,c_9997,c_6672]) ).
tcf(c_17474,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( X0 = sk9 )
| ~ ssItem(sk9)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_6657,c_413]) ).
tcf(c_17481,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( X0 = sk9 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17474,c_12526,c_260]) ).
tcf(c_24934,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssList(iPr_def_14)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_12516,c_392]) ).
tcf(c_24939,plain,
! [X0: $i] :
( memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24934,c_10008,c_6671]) ).
tcf(c_24971,plain,
( memberP(iPr_def_12,sk5)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_16043,c_24939]) ).
tcf(c_24974,plain,
memberP(iPr_def_12,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_24971,c_6673]) ).
tcf(c_29048,plain,
( ( nil = iPr_def_12 )
| ( app(tl(iPr_def_12),sk4) = tl(app(iPr_def_12,sk4)) ) ),
inference(superposition,[status(thm)],[c_12518,c_14643]) ).
tcf(c_29052,plain,
( ( nil = iPr_def_12 )
| ( app(tl(iPr_def_12),sk4) = sk4 ) ),
inference(light_normalisation,[status(thm)],[c_29048,c_13867,c_13868]) ).
tcf(c_29053,plain,
app(tl(iPr_def_12),sk4) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_29052,c_12507]) ).
tcf(c_29552,plain,
( ( nil = iPr_def_14 )
| ( app(tl(iPr_def_14),sk7) = tl(app(iPr_def_14,sk7)) ) ),
inference(superposition,[status(thm)],[c_10008,c_14645]) ).
tcf(c_29562,plain,
( ( nil = iPr_def_14 )
| ( app(tl(iPr_def_14),sk7) = tl(iPr_def_12) ) ),
inference(light_normalisation,[status(thm)],[c_29552,c_12516]) ).
tcf(c_29563,plain,
app(tl(iPr_def_14),sk7) = tl(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_29562,c_12444]) ).
tcf(c_32204,plain,
( ( tl(iPr_def_12) = nil )
| ~ ssList(tl(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_29053,c_16883]) ).
tcf(c_32695,plain,
sk8 = sk8,
inference(instantiation,[status(thm)],[c_6676]) ).
tcf(c_42681,plain,
( ( skaf46(iPr_def_14,iPr_def_13) = sk6 )
| ~ ssList(skaf46(iPr_def_14,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_13316,c_16899]) ).
tcf(c_42683,plain,
skaf46(iPr_def_14,iPr_def_13) = sk6,
inference(forward_subsumption_resolution,[status(thm)],[c_42681,c_302]) ).
tcf(c_44032,plain,
! [X0: $i] :
( memberP(cons(sk9,sk4),X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_13868,c_392]) ).
tcf(c_44056,plain,
! [X0: $i] :
( memberP(cons(sk9,sk4),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44032,c_12518,c_6674]) ).
tcf(c_44388,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ( X0 = sk9 )
| ~ ssItem(sk9)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_44056,c_413]) ).
tcf(c_44389,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ( X0 = sk9 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_44388,c_12526,c_6674]) ).
tcf(c_44764,plain,
! [X0: $i] :
( ~ memberP(iPr_def_12,X0)
| ~ ssItem(X0)
| ( X0 = sk9 ) ),
inference(global_subsumption_just,[status(thm)],[c_44389,c_323,c_17481]) ).
tcf(c_44765,plain,
! [X0: $i] :
( ( X0 = sk9 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(renaming,[status(thm)],[c_44764]) ).
tcf(c_44775,plain,
( ( sk5 = sk9 )
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_24974,c_44765]) ).
tcf(c_44777,plain,
sk5 = sk9,
inference(forward_subsumption_resolution,[status(thm)],[c_44775,c_6673]) ).
tcf(c_44812,plain,
cons(sk5,nil) = iPr_def_12,
inference(demodulation,[status(thm)],[c_6657,c_44777]) ).
tcf(c_44814,plain,
iPr_def_12 = iPr_def_13,
inference(demodulation,[status(thm)],[c_6658,c_44812]) ).
tcf(c_44819,plain,
skaf46(iPr_def_14,iPr_def_12) = sk6,
inference(demodulation,[status(thm)],[c_42683,c_44814]) ).
tcf(c_52502,plain,
! [X0: $i] :
( memberP(X0,sk8)
| ~ memberP(sk6,sk8)
| ( sk8 != sk8 )
| ( X0 != sk6 ) ),
inference(instantiation,[status(thm)],[c_12202]) ).
tcf(c_52503,plain,
( memberP(nil,sk8)
| ~ memberP(sk6,sk8)
| ( sk8 != sk8 )
| ( nil != sk6 ) ),
inference(instantiation,[status(thm)],[c_52502]) ).
tcf(c_56057,plain,
( ssList(tl(iPr_def_12))
| ~ ssList(sk7)
| ~ ssList(tl(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_29563,c_337]) ).
tcf(c_56062,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(tl(iPr_def_14))
| ( tl(iPr_def_12) != nil ) ),
inference(superposition,[status(thm)],[c_29563,c_371]) ).
tcf(c_56075,plain,
( ssList(tl(iPr_def_12))
| ~ ssList(tl(iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56057,c_6671]) ).
tcf(c_56090,plain,
( ( sk7 = nil )
| ~ ssList(tl(iPr_def_14))
| ( tl(iPr_def_12) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56062,c_6671]) ).
tcf(c_56186,plain,
( ssList(tl(iPr_def_12))
| ( nil = iPr_def_14 )
| ~ ssList(iPr_def_14) ),
inference(superposition,[status(thm)],[c_329,c_56075]) ).
tcf(c_56187,plain,
ssList(tl(iPr_def_12)),
inference(forward_subsumption_resolution,[status(thm)],[c_56186,c_12444,c_10008]) ).
tcf(c_57898,plain,
( ( sk7 = nil )
| ~ ssList(tl(iPr_def_14)) ),
inference(global_subsumption_just,[status(thm)],[c_56090,c_32204,c_56090,c_56187]) ).
tcf(c_57904,plain,
( ( nil = iPr_def_14 )
| ( sk7 = nil )
| ~ ssList(iPr_def_14) ),
inference(superposition,[status(thm)],[c_329,c_57898]) ).
tcf(c_57905,plain,
sk7 = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_57904,c_12444,c_10008]) ).
tcf(c_58016,plain,
app(iPr_def_14,nil) = iPr_def_12,
inference(demodulation,[status(thm)],[c_12516,c_57905]) ).
tcf(c_58035,plain,
( memberP(nil,sk8)
| memberP(sk6,sk8) ),
inference(demodulation,[status(thm)],[c_6669,c_57905]) ).
tcf(c_58040,plain,
iPr_def_12 = iPr_def_14,
inference(demodulation,[status(thm)],[c_10040,c_58016]) ).
tcf(c_58046,plain,
skaf46(iPr_def_12,iPr_def_12) = sk6,
inference(demodulation,[status(thm)],[c_44819,c_58040]) ).
tcf(c_58085,plain,
app(sk6,iPr_def_12) = iPr_def_12,
inference(demodulation,[status(thm)],[c_14258,c_58046]) ).
tcf(c_59035,plain,
! [X0: $i] :
( ( X0 = sk6 )
| ~ ssList(iPr_def_12)
| ~ ssList(sk6)
| ~ ssList(X0)
| ( app(X0,iPr_def_12) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_58085,c_403]) ).
tcf(c_59044,plain,
! [X0: $i] :
( ( X0 = sk6 )
| ~ ssList(X0)
| ( app(X0,iPr_def_12) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_59035,c_12518,c_6672]) ).
tcf(c_59056,plain,
( ( nil = sk6 )
| ~ ssList(nil)
| ( app(nil,iPr_def_12) != iPr_def_12 ) ),
inference(instantiation,[status(thm)],[c_59044]) ).
tcf(c_59057,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_59056,c_58035,c_52503,c_32695,c_12506,c_10448,c_10256,c_260,c_446]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC297-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.40 % Computer : n009.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Thu Sep 24 17:29:13 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 0.12/0.45
% 0.12/0.45 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.45
% 0.12/0.45 % Detected problem language: tptp
% 0.20/0.47 % Proving...
% 26.43/4.35 % SZS status Started for theBenchmark.p
% 26.43/4.35 % SZS status Unsatisfiable for theBenchmark.p
% 26.43/4.35
% 26.43/4.35 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 26.43/4.35
% 26.43/4.35 % ------ iProver source info
% 26.43/4.35
% 26.43/4.35 % git: date: 2026-07-19 20:42:38 +0200
% 26.43/4.35 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 26.43/4.35 % git: non_committed_changes: false
% 26.43/4.35
% 26.43/4.35 % ------ Parsing...% successful
% 26.43/4.35
% 26.43/4.35
% 26.43/4.35 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 26.43/4.35
% 26.43/4.35 % ------ 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 %
% 26.43/4.35
% 26.43/4.35 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 26.43/4.35
% 26.43/4.35 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 26.43/4.35 % ------ Proving...
% 26.43/4.35 % ------ Problem Properties
% 26.43/4.35
% 26.43/4.35 %
% 26.43/4.35 % clauses 196
% 26.43/4.35 % conjectures 12
% 26.43/4.35 % EPR 67
% 26.43/4.35 % Horn 164
% 26.43/4.35 % unary 69
% 26.43/4.35 % binary 29
% 26.43/4.35 % lits 568
% 26.43/4.35 % lits eq 80
% 26.43/4.35 % fd_pure 0
% 26.43/4.35 % fd_pseudo 0
% 26.43/4.35 % fd_cond 15
% 26.43/4.35 % fd_pseudo_cond 14
% 26.43/4.35 % AC symbols 0
% 26.43/4.35
% 26.43/4.35 % ------ Schedule dynamic 5 is on
% 26.43/4.35
% 26.43/4.35 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 26.43/4.35
% 26.43/4.35
% 26.43/4.35 % ------
% 26.43/4.35 % Current options:
% 26.43/4.35 % ------
% 26.43/4.35
% 26.43/4.35
% 26.43/4.35 %
% 26.43/4.35
% 26.43/4.35 % ------ Proving...
% 26.43/4.35 %
% 26.43/4.35
% 26.43/4.35 % SZS status Unsatisfiable for theBenchmark.p
% 26.43/4.35
% 26.43/4.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 26.43/4.36
% 26.43/4.36
%------------------------------------------------------------------------------