%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC299-1 : 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 : n005.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 03:09:13 PM UTC 2026
% Result : Unsatisfiable 79.88s 13.66s
% Output : CNFRefutation 79.88s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f262ERROR: Could not build tree for root c_209486ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause11) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause14) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause47) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).
fof(f72,axiom,
! [X0,X1] :
( ssItem(X1)
| duplicatefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause72) ).
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(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(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(f103,axiom,
! [X0] :
( cons(skaf44(X0),nil) = X0
| ~ ssList(X0)
| ~ singletonP(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause101) ).
fof(f108,axiom,
! [X0,X1] :
( lt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause105) ).
fof(f109,axiom,
! [X0,X1] :
( gt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause106) ).
fof(f119,axiom,
! [X0,X1] :
( singletonP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,nil) != X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause116) ).
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(f136,axiom,
! [X0,X1] :
( X1 = X0
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause128) ).
fof(f137,plain,
! [X0,X1] :
( X0 = X1
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1) ),
inference(reorient_equations,[],[f136]) ).
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(f155,axiom,
! [X2,X0,X1] :
( frontsegP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause144) ).
fof(f169,axiom,
! [X2,X0,X1] :
( cons(X0,app(X1,X2)) = app(cons(X0,X1),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause157) ).
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(f190,axiom,
! [X2,X3,X0,X1] :
( X0 = X2
| ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause176) ).
fof(f193,axiom,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X4)
| ~ duplicatefreeP(X4)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause179) ).
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,
ssItem(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,
ssList(sk8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
ssList(sk9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f212,plain,
sk1 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
inference(reorient_equations,[],[f211]) ).
fof(f213,negated_conjecture,
lt(sk6,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f218,negated_conjecture,
( nil = sk4
| cons(sk10,nil) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f219,plain,
( nil = sk4
| sk3 = cons(sk10,nil) ),
inference(reorient_equations,[],[f218]) ).
fof(f226,negated_conjecture,
( nil = sk3
| cons(sk10,nil) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_24) ).
fof(f227,plain,
( nil = sk3
| sk3 = cons(sk10,nil) ),
inference(reorient_equations,[],[f226]) ).
fof(f234,plain,
sk3 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
inference(definition_unfolding,[],[f212,f205]) ).
fof(f242,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(equality_resolution,[],[f119]) ).
fof(f245,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(equality_resolution,[],[f154]) ).
fof(f246,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f155]) ).
fof(f252,plain,
! [X2,X3,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(equality_resolution,[],[f193]) ).
tcf(c_268,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_271,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f11]) ).
tcf(c_274,plain,
! [X0: $i] : ssList(skaf81(X0)),
inference(cnf_transformation,[],[f14]) ).
tcf(c_307,plain,
! [X0: $i] : ssItem(skaf44(X0)),
inference(cnf_transformation,[],[f47]) ).
tcf(c_331,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_332,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_333,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_334,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_345,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_346,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_358,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_361,plain,
! [X0: $i] :
( ( cons(skaf44(X0),nil) = X0 )
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_365,plain,
! [X0: $i,X1: $i] :
( lt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_366,plain,
! [X0: $i,X1: $i] :
( gt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_371,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
inference(cnf_transformation,[],[f259]) ).
tcf(c_376,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(cnf_transformation,[],[f242]) ).
tcf(c_378,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_379,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_388,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_398,plain,
! [X0: $i,X1: $i] :
( memberP(cons(X1,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f262]) ).
tcf(c_400,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_401,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_403,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_404,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_417,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X2,app(X0,X1)) = app(cons(X2,X0),X1) )
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_421,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_436,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_439,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3))) ),
inference(cnf_transformation,[],[f252]) ).
tcf(c_448,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_449,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_450,negated_conjecture,
ssItem(sk5),
inference(cnf_transformation,[],[f206]) ).
tcf(c_451,negated_conjecture,
ssItem(sk6),
inference(cnf_transformation,[],[f207]) ).
tcf(c_452,negated_conjecture,
ssList(sk7),
inference(cnf_transformation,[],[f208]) ).
tcf(c_453,negated_conjecture,
ssList(sk8),
inference(cnf_transformation,[],[f209]) ).
tcf(c_454,negated_conjecture,
ssList(sk9),
inference(cnf_transformation,[],[f210]) ).
tcf(c_455,negated_conjecture,
app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk3,
inference(cnf_transformation,[],[f234]) ).
tcf(c_456,negated_conjecture,
lt(sk6,sk5),
inference(cnf_transformation,[],[f213]) ).
tcf(c_461,negated_conjecture,
( ( sk4 = nil )
| ( cons(sk10,nil) = sk3 ) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_467,negated_conjecture,
( ( sk3 = nil )
| ( cons(sk10,nil) = sk3 ) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_876,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_403,c_345]) ).
tcf(c_877,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_404,c_345]) ).
tcf(c_6763,plain,
! [X0: $i] :
( ~ iPr_def_10
| ssItem(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_332]) ).
tcf(c_6764,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ ssList(X0)
| duplicatefreeP(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_332]) ).
tcf(c_6765,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_332]) ).
tcf(c_6766,definition,
iPr_def_12 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_6767,definition,
iPr_def_13 = app(sk7,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_6768,definition,
iPr_def_14 = app(iPr_def_13,sk8),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_6769,definition,
iPr_def_15 = cons(sk6,nil),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_6770,definition,
iPr_def_16 = app(iPr_def_14,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_6771,definition,
iPr_def_17 = app(iPr_def_16,sk9),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_6774,definition,
iPr_def_20 = cons(sk10,nil),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_6775,negated_conjecture,
iPr_def_17 = sk3,
inference(demodulation,[status(thm)],[c_455,c_6769,c_6766,c_6767,c_6768,c_6770,c_6771]) ).
tcf(c_6779,negated_conjecture,
( ( iPr_def_20 = sk3 )
| ( sk3 = nil ) ),
inference(demodulation,[status(thm)],[c_467,c_6774]) ).
tcf(c_6785,negated_conjecture,
( ( iPr_def_20 = sk3 )
| ( sk4 = nil ) ),
inference(demodulation,[status(thm)],[c_461]) ).
tcf(c_6790,negated_conjecture,
lt(sk6,sk5),
inference(demodulation,[status(thm)],[c_456]) ).
tcf(c_6791,negated_conjecture,
ssList(sk9),
inference(demodulation,[status(thm)],[c_454]) ).
tcf(c_6792,negated_conjecture,
ssList(sk8),
inference(demodulation,[status(thm)],[c_453]) ).
tcf(c_6793,negated_conjecture,
ssList(sk7),
inference(demodulation,[status(thm)],[c_452]) ).
tcf(c_6794,negated_conjecture,
ssItem(sk6),
inference(demodulation,[status(thm)],[c_451]) ).
tcf(c_6795,negated_conjecture,
ssItem(sk5),
inference(demodulation,[status(thm)],[c_450]) ).
tcf(c_6796,negated_conjecture,
ssList(sk4),
inference(demodulation,[status(thm)],[c_449]) ).
tcf(c_6797,negated_conjecture,
ssList(sk3),
inference(demodulation,[status(thm)],[c_448]) ).
tcf(c_9478,plain,
ssList(iPr_def_17),
inference(light_normalisation,[status(thm)],[c_6797,c_6775]) ).
tcf(c_9522,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( nil = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_6779,c_6775]) ).
tcf(c_9567,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk4 = nil ) ),
inference(light_normalisation,[status(thm)],[c_6785,c_6775]) ).
tcf(c_9825,plain,
app(sk4,nil) = sk4,
inference(superposition,[status(thm)],[c_6796,c_333]) ).
tcf(c_9861,plain,
app(iPr_def_17,nil) = iPr_def_17,
inference(superposition,[status(thm)],[c_9478,c_333]) ).
tcf(c_9967,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( app(sk4,iPr_def_17) = sk4 ) ),
inference(superposition,[status(thm)],[c_9522,c_9825]) ).
tcf(c_10077,plain,
app(nil,sk7) = sk7,
inference(superposition,[status(thm)],[c_6793,c_334]) ).
tcf(c_10178,plain,
( ssList(iPr_def_13)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_6767,c_345]) ).
tcf(c_10179,plain,
( ssList(iPr_def_14)
| ~ ssList(iPr_def_13)
| ~ ssList(sk8) ),
inference(superposition,[status(thm)],[c_6768,c_345]) ).
tcf(c_10180,plain,
( ssList(iPr_def_16)
| ~ ssList(iPr_def_15)
| ~ ssList(iPr_def_14) ),
inference(superposition,[status(thm)],[c_6770,c_345]) ).
tcf(c_10208,plain,
( ssList(iPr_def_14)
| ~ ssList(iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10179,c_6792]) ).
tcf(c_10211,plain,
( ssList(iPr_def_13)
| ~ ssList(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10178,c_6793]) ).
tcf(c_10302,plain,
( ssList(iPr_def_12)
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_6766,c_346]) ).
tcf(c_10303,plain,
( ssList(iPr_def_15)
| ~ ssItem(sk6)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_6769,c_346]) ).
tcf(c_10313,plain,
ssList(iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_10303,c_6794,c_268]) ).
tcf(c_10314,plain,
ssList(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_10302,c_6795,c_268]) ).
tcf(c_10325,plain,
ssList(iPr_def_13),
inference(backward_subsumption_resolution,[status(thm)],[c_10211,c_10314]) ).
tcf(c_10326,plain,
ssList(iPr_def_14),
inference(backward_subsumption_resolution,[status(thm)],[c_10208,c_10325]) ).
tcf(c_10358,plain,
app(iPr_def_12,nil) = iPr_def_12,
inference(superposition,[status(thm)],[c_10314,c_333]) ).
tcf(c_10711,plain,
( rearsegP(iPr_def_17,nil)
| ~ ssList(iPr_def_17)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9861,c_876]) ).
tcf(c_10713,plain,
( rearsegP(sk4,iPr_def_17)
| ( iPr_def_17 = iPr_def_20 )
| ~ ssList(iPr_def_17)
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_9967,c_876]) ).
tcf(c_10737,plain,
rearsegP(iPr_def_17,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_10711,c_9478,c_268]) ).
tcf(c_10776,plain,
( rearsegP(sk4,iPr_def_17)
| ( iPr_def_17 = iPr_def_20 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10713,c_9478,c_6796]) ).
tcf(c_10881,plain,
( frontsegP(iPr_def_12,iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_10358,c_877]) ).
tcf(c_10882,plain,
frontsegP(iPr_def_12,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_10881,c_10314,c_268]) ).
tcf(c_11027,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_346,c_376]) ).
tcf(c_11040,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11027,c_268]) ).
tcf(c_11315,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ( nil != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6766,c_358]) ).
tcf(c_11325,plain,
nil != iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_11315,c_6795,c_268]) ).
tcf(c_11539,plain,
( rearsegP(nil,iPr_def_17)
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_9567,c_10776]) ).
tcf(c_12362,plain,
( ( nil = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sk8)
| ( nil != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6768,c_378]) ).
tcf(c_12363,plain,
( ( nil = iPr_def_14 )
| ~ ssList(iPr_def_15)
| ~ ssList(iPr_def_14)
| ( nil != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_6770,c_378]) ).
tcf(c_12364,plain,
( ( nil = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(sk9)
| ( nil != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6771,c_378]) ).
tcf(c_12411,plain,
( ( nil = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ( nil != iPr_def_17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12364,c_6791]) ).
tcf(c_12415,plain,
( ( nil = iPr_def_14 )
| ( nil != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12363,c_10313,c_10326]) ).
tcf(c_12418,plain,
( ( nil = iPr_def_13 )
| ( nil != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12362,c_10325,c_6792]) ).
tcf(c_12454,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ( nil != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6767,c_379]) ).
tcf(c_12512,plain,
nil != iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_12454,c_11325,c_10314,c_6793]) ).
tcf(c_13640,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(sk5)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ duplicatefreeP(app(app(X0,cons(sk5,X1)),cons(sk5,X2)))
| ~ ssList(app(app(X0,cons(sk5,X1)),cons(sk5,X2))) ),
inference(instantiation,[status(thm)],[c_439]) ).
tcf(c_13641,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ duplicatefreeP(app(app(nil,cons(sk5,nil)),cons(sk5,nil)))
| ~ ssList(app(app(nil,cons(sk5,nil)),cons(sk5,nil))) ),
inference(instantiation,[status(thm)],[c_13640]) ).
tcf(c_13733,plain,
( ( nil = iPr_def_17 )
| ~ ssList(iPr_def_17)
| ~ ssList(nil)
| ~ rearsegP(nil,iPr_def_17) ),
inference(superposition,[status(thm)],[c_10737,c_388]) ).
tcf(c_13792,plain,
( ( nil = iPr_def_17 )
| ~ rearsegP(nil,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13733,c_9478,c_268]) ).
tcf(c_15338,plain,
! [X0: $i] :
( memberP(iPr_def_17,X0)
| ~ ssList(iPr_def_16)
| ~ ssList(sk9)
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_6771,c_400]) ).
tcf(c_15386,plain,
! [X0: $i] :
( memberP(iPr_def_17,X0)
| ~ ssList(iPr_def_16)
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15338,c_6791]) ).
tcf(c_17699,plain,
! [X0: $i] :
( duplicatefreeP(skaf81(X0))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_274,c_6764]) ).
tcf(c_17896,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,sk7)) = app(cons(X1,X0),sk7) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6793,c_417]) ).
tcf(c_20880,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,cons(sk5,X0)))
| ~ ssList(X1)
| ~ ssList(cons(sk5,X0)) ),
inference(instantiation,[status(thm)],[c_345]) ).
tcf(c_20881,plain,
( ssList(app(nil,cons(sk5,nil)))
| ~ ssList(nil)
| ~ ssList(cons(sk5,nil)) ),
inference(instantiation,[status(thm)],[c_20880]) ).
tcf(c_22941,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk5 )
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),iPr_def_12) ),
inference(superposition,[status(thm)],[c_6766,c_436]) ).
tcf(c_22948,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk5 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22941,c_6795,c_268]) ).
tcf(c_28753,plain,
! [X0: $i] :
( memberP(iPr_def_17,X0)
| ~ memberP(iPr_def_16,X0)
| ~ ssItem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_15386,c_10180,c_10326,c_10313,c_15386]) ).
tcf(c_28754,plain,
! [X0: $i] :
( memberP(iPr_def_17,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0) ),
inference(renaming,[status(thm)],[c_28753]) ).
tcf(c_34448,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssList(app(app(X0,cons(sk5,X1)),cons(X2,X3)))
| ~ ssList(cons(X2,X3))
| ~ ssList(app(X0,cons(sk5,X1))) ),
inference(instantiation,[status(thm)],[c_345]) ).
tcf(c_34641,plain,
! [X0: $i] :
( ssList(cons(sk5,X0))
| ~ ssItem(sk5)
| ~ ssList(X0) ),
inference(instantiation,[status(thm)],[c_346]) ).
tcf(c_34642,plain,
( ssList(cons(sk5,nil))
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_34641]) ).
tcf(c_35677,plain,
( singletonP(iPr_def_12)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_6766,c_11040]) ).
tcf(c_35683,plain,
singletonP(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_35677,c_6795]) ).
tcf(c_35705,plain,
( ( cons(skaf44(iPr_def_12),nil) = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_35683,c_361]) ).
tcf(c_35706,plain,
cons(skaf44(iPr_def_12),nil) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_35705,c_10314]) ).
tcf(c_39996,plain,
( ( skaf44(iPr_def_12) = sk5 )
| ~ ssList(nil)
| ~ frontsegP(iPr_def_12,iPr_def_12)
| ~ ssItem(skaf44(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_35706,c_22948]) ).
tcf(c_40029,plain,
skaf44(iPr_def_12) = sk5,
inference(forward_subsumption_resolution,[status(thm)],[c_39996,c_268,c_10882,c_307]) ).
tcf(c_40175,plain,
cons(sk5,nil) = iPr_def_12,
inference(demodulation,[status(thm)],[c_35706,c_40029]) ).
tcf(c_52761,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssList(app(app(X0,cons(sk5,X1)),cons(sk5,X2)))
| ~ ssList(cons(sk5,X2))
| ~ ssList(app(X0,cons(sk5,X1))) ),
inference(instantiation,[status(thm)],[c_34448]) ).
tcf(c_52762,plain,
( ssList(app(app(nil,cons(sk5,nil)),cons(sk5,nil)))
| ~ ssList(cons(sk5,nil))
| ~ ssList(app(nil,cons(sk5,nil))) ),
inference(instantiation,[status(thm)],[c_52761]) ).
tcf(c_53257,plain,
! [X0: $i,X1: $i,X2: $i] :
( duplicatefreeP(app(app(X0,cons(sk5,X1)),cons(sk5,X2)))
| ~ iPr_def_11
| ~ ssList(app(app(X0,cons(sk5,X1)),cons(sk5,X2))) ),
inference(instantiation,[status(thm)],[c_6764]) ).
tcf(c_53258,plain,
( duplicatefreeP(app(app(nil,cons(sk5,nil)),cons(sk5,nil)))
| ~ iPr_def_11
| ~ ssList(app(app(nil,cons(sk5,nil)),cons(sk5,nil))) ),
inference(instantiation,[status(thm)],[c_53257]) ).
tcf(c_64158,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X1,X2)
| ( X0 = X2 )
| ~ ssItem(X2)
| ~ memberP(cons(X0,X1),X2)
| ~ ssList(X1) ),
inference(global_subsumption_just,[status(thm)],[c_421,c_450,c_268,c_421,c_6763,c_6765,c_13641,c_20881,c_34642,c_52762,c_53258]) ).
tcf(c_64159,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X1,X2)
| ( X0 = X2 )
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ memberP(cons(X0,X1),X2) ),
inference(renaming,[status(thm)],[c_64158]) ).
tcf(c_76543,plain,
~ iPr_def_11,
inference(global_subsumption_just,[status(thm)],[c_17699,c_450,c_268,c_13641,c_20881,c_34642,c_52762,c_53258]) ).
tcf(c_76545,plain,
iPr_def_10,
inference(backward_subsumption_resolution,[status(thm)],[c_6765,c_76543]) ).
tcf(c_76546,plain,
! [X0: $i] : ssItem(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_6763,c_76545]) ).
tcf(c_76547,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X1,X2)
| ( X0 = X2 )
| ~ ssList(X1)
| ~ memberP(cons(X0,X1),X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_64159,c_76546]) ).
tcf(c_76552,plain,
! [X0: $i,X1: $i] :
( memberP(cons(X1,X0),X1)
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_398,c_76546]) ).
tcf(c_76558,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X2,X0),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_401,c_76546]) ).
tcf(c_76559,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_400,c_76546]) ).
tcf(c_76573,plain,
! [X0: $i,X1: $i] :
( gt(X1,X0)
| ~ lt(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_366,c_76546]) ).
tcf(c_76574,plain,
! [X0: $i,X1: $i] :
( lt(X1,X0)
| ~ gt(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_365,c_76546]) ).
tcf(c_76580,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_346,c_76546]) ).
tcf(c_78710,plain,
! [X0: $i] :
( ( cons(sk5,app(X0,sk7)) = app(cons(sk5,X0),sk7) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_6795,c_17896]) ).
tcf(c_78845,plain,
cons(sk5,app(nil,sk7)) = app(cons(sk5,nil),sk7),
inference(superposition,[status(thm)],[c_268,c_78710]) ).
tcf(c_78911,plain,
cons(sk5,sk7) = app(iPr_def_12,sk7),
inference(light_normalisation,[status(thm)],[c_78845,c_10077,c_40175]) ).
tcf(c_85490,plain,
( ssList(cons(sk5,sk7))
| ~ ssList(iPr_def_12)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_78911,c_345]) ).
tcf(c_85506,plain,
ssList(cons(sk5,sk7)),
inference(forward_subsumption_resolution,[status(thm)],[c_85490,c_10314,c_6793]) ).
tcf(c_85586,plain,
( duplicatefreeP(cons(sk5,sk7))
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_85506,c_6764]) ).
tcf(c_87320,plain,
~ iPr_def_11,
inference(global_subsumption_just,[status(thm)],[c_85586,c_450,c_268,c_13641,c_20881,c_34642,c_52762,c_53258]) ).
tcf(c_87322,plain,
iPr_def_10,
inference(backward_subsumption_resolution,[status(thm)],[c_6765,c_87320]) ).
tcf(c_87323,plain,
! [X0: $i] : ssItem(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_6763,c_87322]) ).
tcf(c_87333,plain,
! [X0: $i] :
( memberP(iPr_def_17,X0)
| ~ memberP(iPr_def_16,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_28754,c_87323]) ).
tcf(c_110166,plain,
! [X0: $i] : ~ memberP(nil,X0),
inference(global_subsumption_just,[status(thm)],[c_331,c_450,c_268,c_331,c_6763,c_6765,c_13641,c_20881,c_34642,c_52762,c_53258]) ).
tcf(c_176026,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( nil = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_6779,c_6775]) ).
tcf(c_176033,plain,
( ( iPr_def_17 = iPr_def_20 )
| ~ singletonP(iPr_def_17) ),
inference(superposition,[status(thm)],[c_176026,c_271]) ).
tcf(c_176112,plain,
iPr_def_17 = iPr_def_20,
inference(global_subsumption_just,[status(thm)],[c_176033,c_10180,c_10326,c_10313,c_11539,c_12418,c_12415,c_12411,c_12512,c_13792]) ).
tcf(c_176151,plain,
cons(sk10,nil) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_6774,c_176112]) ).
tcf(c_176227,plain,
! [X0: $i] : ~ lt(X0,X0),
inference(global_subsumption_just,[status(thm)],[c_371,c_450,c_268,c_371,c_6763,c_6765,c_13641,c_20881,c_34642,c_52762,c_53258]) ).
tcf(c_176294,plain,
( ssList(iPr_def_13)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_6767,c_345]) ).
tcf(c_176295,plain,
( ssList(iPr_def_14)
| ~ ssList(iPr_def_13)
| ~ ssList(sk8) ),
inference(superposition,[status(thm)],[c_6768,c_345]) ).
tcf(c_176315,plain,
( ssList(iPr_def_14)
| ~ ssList(iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_176295,c_6792]) ).
tcf(c_176318,plain,
( ssList(iPr_def_13)
| ~ ssList(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_176294,c_6793]) ).
tcf(c_176327,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_346,c_76580]) ).
tcf(c_176333,plain,
( ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_6766,c_176327]) ).
tcf(c_176334,plain,
( ssList(iPr_def_15)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_6769,c_176327]) ).
tcf(c_176338,plain,
ssList(iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_176334,c_268]) ).
tcf(c_176339,plain,
ssList(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_176333,c_268]) ).
tcf(c_176350,plain,
ssList(iPr_def_14),
inference(global_subsumption_just,[status(thm)],[c_176315,c_10326]) ).
tcf(c_176354,plain,
ssList(iPr_def_13),
inference(global_subsumption_just,[status(thm)],[c_176318,c_10325]) ).
tcf(c_176467,plain,
! [X0: $i,X1: $i] :
( memberP(cons(X1,X0),X1)
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_398,c_76552]) ).
tcf(c_176473,plain,
( memberP(iPr_def_12,sk5)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_6766,c_176467]) ).
tcf(c_176474,plain,
( memberP(iPr_def_15,sk6)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_6769,c_176467]) ).
tcf(c_176477,plain,
memberP(iPr_def_15,sk6),
inference(forward_subsumption_resolution,[status(thm)],[c_176474,c_268]) ).
tcf(c_176478,plain,
memberP(iPr_def_12,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_176473,c_268]) ).
tcf(c_177010,plain,
! [X0: $i,X1: $i] :
( lt(X1,X0)
| ~ gt(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_365,c_76574]) ).
tcf(c_177019,plain,
! [X0: $i,X1: $i] :
( gt(X1,X0)
| ~ lt(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_366,c_76573]) ).
tcf(c_177025,plain,
gt(sk5,sk6),
inference(superposition,[status(thm)],[c_6790,c_177019]) ).
tcf(c_179121,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,X2),X1)
| ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(global_subsumption_just,[status(thm)],[c_400,c_76559]) ).
tcf(c_179122,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(renaming,[status(thm)],[c_179121]) ).
tcf(c_179133,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| ~ ssList(iPr_def_13)
| ~ ssList(sk8)
| ~ memberP(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_6768,c_179122]) ).
tcf(c_179134,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssList(iPr_def_15)
| ~ ssList(iPr_def_14)
| ~ memberP(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_6770,c_179122]) ).
tcf(c_179135,plain,
! [X0: $i] :
( memberP(iPr_def_17,X0)
| ~ ssList(iPr_def_16)
| ~ ssList(sk9)
| ~ memberP(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_6771,c_179122]) ).
tcf(c_179201,plain,
! [X0: $i] :
( memberP(iPr_def_17,X0)
| ~ ssList(iPr_def_16)
| ~ memberP(iPr_def_16,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179135,c_6791]) ).
tcf(c_179205,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ memberP(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179134,c_176338,c_176350]) ).
tcf(c_179208,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| ~ memberP(iPr_def_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179133,c_176354,c_6792]) ).
tcf(c_179367,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X2,X0),X1)
| ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(global_subsumption_just,[status(thm)],[c_401,c_76558]) ).
tcf(c_179368,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X2,X0),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(renaming,[status(thm)],[c_179367]) ).
tcf(c_179378,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ~ memberP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_6767,c_179368]) ).
tcf(c_179380,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ ssList(iPr_def_15)
| ~ ssList(iPr_def_14)
| ~ memberP(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_6770,c_179368]) ).
tcf(c_179454,plain,
! [X0: $i] :
( memberP(iPr_def_16,X0)
| ~ memberP(iPr_def_15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179380,c_176338,c_176350]) ).
tcf(c_179460,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_179378,c_176339,c_6793]) ).
tcf(c_179973,plain,
memberP(iPr_def_13,sk5),
inference(superposition,[status(thm)],[c_176478,c_179460]) ).
tcf(c_180310,plain,
memberP(iPr_def_14,sk5),
inference(superposition,[status(thm)],[c_179973,c_179208]) ).
tcf(c_183883,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X1,X2)
| ( X0 = X2 )
| ~ ssList(X1)
| ~ memberP(cons(X0,X1),X2) ),
inference(global_subsumption_just,[status(thm)],[c_421,c_76547]) ).
tcf(c_183897,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( X0 = sk10 )
| ~ ssList(nil)
| ~ memberP(iPr_def_17,X0) ),
inference(superposition,[status(thm)],[c_176151,c_183883]) ).
tcf(c_183898,plain,
! [X0: $i] :
( ( X0 = sk10 )
| ~ memberP(iPr_def_17,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_183897,c_110166,c_268]) ).
tcf(c_191919,plain,
! [X0: $i] :
( memberP(iPr_def_17,X0)
| ~ memberP(iPr_def_16,X0) ),
inference(global_subsumption_just,[status(thm)],[c_179201,c_87333]) ).
tcf(c_198609,plain,
memberP(iPr_def_16,sk5),
inference(superposition,[status(thm)],[c_180310,c_179205]) ).
tcf(c_198611,plain,
memberP(iPr_def_17,sk5),
inference(superposition,[status(thm)],[c_198609,c_191919]) ).
tcf(c_198751,plain,
memberP(iPr_def_16,sk6),
inference(superposition,[status(thm)],[c_176477,c_179454]) ).
tcf(c_198785,plain,
memberP(iPr_def_17,sk6),
inference(superposition,[status(thm)],[c_198751,c_191919]) ).
tcf(c_209237,plain,
sk6 = sk10,
inference(superposition,[status(thm)],[c_198785,c_183898]) ).
tcf(c_209238,plain,
sk5 = sk10,
inference(superposition,[status(thm)],[c_198611,c_183898]) ).
tcf(c_209261,plain,
gt(sk5,sk10),
inference(demodulation,[status(thm)],[c_177025,c_209237]) ).
tcf(c_209482,plain,
gt(sk10,sk10),
inference(light_normalisation,[status(thm)],[c_209261,c_209238]) ).
tcf(c_209485,plain,
lt(sk10,sk10),
inference(superposition,[status(thm)],[c_209482,c_177010]) ).
tcf(c_209486,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_209485,c_176227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC299-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.18/0.43 % Computer : n005.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Thu Sep 24 17:29:47 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.52
% 0.22/0.52 % ======== iProver multi-core TPTP/SMT =========
% 0.22/0.52
% 0.22/0.52 % Detected problem language: tptp
% 0.22/0.54 % Proving...
% 79.88/13.66 % SZS status Started for theBenchmark.p
% 79.88/13.66 % SZS status Unsatisfiable for theBenchmark.p
% 79.88/13.66
% 79.88/13.66 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 79.88/13.66
% 79.88/13.66 % ------ iProver source info
% 79.88/13.66
% 79.88/13.66 % git: date: 2026-07-19 20:42:38 +0200
% 79.88/13.66 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 79.88/13.66 % git: non_committed_changes: false
% 79.88/13.66
% 79.88/13.66 % ------ Parsing...% successful
% 79.88/13.66
% 79.88/13.66
% 79.88/13.66 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 79.88/13.66
% 79.88/13.66 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 79.88/13.66
% 79.88/13.66 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 79.88/13.66
% 79.88/13.66 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 79.88/13.66 % ------ Proving...
% 79.88/13.66 % ------ Problem Properties
% 79.88/13.66
% 79.88/13.66 %
% 79.88/13.66 % clauses 209
% 79.88/13.66 % conjectures 23
% 79.88/13.66 % EPR 75
% 79.88/13.66 % Horn 171
% 79.88/13.66 % unary 76
% 79.88/13.66 % binary 31
% 79.88/13.66 % lits 595
% 79.88/13.66 % lits eq 97
% 79.88/13.66 % fd_pure 0
% 79.88/13.66 % fd_pseudo 0
% 79.88/13.66 % fd_cond 15
% 79.88/13.66 % fd_pseudo_cond 14
% 79.88/13.66 % AC symbols 0
% 79.88/13.66
% 79.88/13.66 % ------ Schedule dynamic 5 is on
% 79.88/13.66
% 79.88/13.66 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 79.88/13.66
% 79.88/13.66
% 79.88/13.66 % ------
% 79.88/13.66 % Current options:
% 79.88/13.66 % ------
% 79.88/13.66
% 79.88/13.66
% 79.88/13.66 %
% 79.88/13.66
% 79.88/13.66 % ------ Proving...
% 79.88/13.66 % Proof_search_loop: time out after: 8743 full_loop iterations
% 79.88/13.66
% 79.88/13.66 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 79.88/13.66
% 79.88/13.66
% 79.88/13.66 % ------
% 79.88/13.66 % Current options:
% 79.88/13.66 % ------
% 79.88/13.66
% 79.88/13.66
% 79.88/13.66 %
% 79.88/13.66
% 79.88/13.66 % ------ Proving...
% 79.88/13.66 %
% 79.88/13.66
% 79.88/13.66 % SZS status Unsatisfiable for theBenchmark.p
% 79.88/13.66
% 79.88/13.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 79.88/13.67
%------------------------------------------------------------------------------