%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC376-1 : 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 : n003.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 03:09:31 PM UTC 2026
% Result : Unsatisfiable 62.20s 13.39s
% Output : CNFRefutation 62.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f250ERROR: Could not build tree for root c_170956ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause48) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause49) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause56) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).
fof(f72,axiom,
! [X0,X1] :
( ssItem(X1)
| duplicatefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause72) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).
fof(f77,axiom,
! [X0] :
( nil = X0
| ssList(tl(X0))
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause77) ).
fof(f78,axiom,
! [X0] :
( nil = X0
| ssItem(hd(X0))
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause78) ).
fof(f83,axiom,
! [X0] :
( frontsegP(nil,X0)
| ~ ssList(X0)
| nil != X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause83) ).
fof(f84,axiom,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause84) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
fof(f101,axiom,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/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(f107,axiom,
! [X0] :
( nil = X0
| cons(hd(X0),tl(X0)) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause104) ).
fof(f121,axiom,
! [X0,X1] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
file('/export/starexec/sandbox/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(f125,axiom,
! [X0,X1] :
( app(cons(X0,nil),X1) = cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/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(f150,axiom,
! [X2,X0,X1] :
( memberP(cons(X2,X0),X1)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause139) ).
fof(f151,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/SWC001-0.ax',clause141) ).
fof(f170,axiom,
! [X2,X0,X1] :
( memberP(X0,X2)
| memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ memberP(app(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause158) ).
fof(f181,axiom,
! [X0,X1] :
( app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause168) ).
fof(f186,axiom,
! [X2,X3,X0,X1] :
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ segmentP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause172) ).
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/sandbox/benchmark/Axioms/SWC001-0.ax',clause179) ).
fof(f202,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f203,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f205,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f206,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
( memberP(sk1,sk5)
| memberP(sk2,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
( ~ memberP(sk1,sk5)
| ~ memberP(sk2,sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( neq(sk3,nil)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f214,plain,
( memberP(sk3,sk5)
| memberP(sk4,sk5) ),
inference(definition_unfolding,[],[f207,f204,f205]) ).
fof(f215,plain,
( ~ memberP(sk3,sk5)
| ~ memberP(sk4,sk5) ),
inference(definition_unfolding,[],[f208,f204,f205]) ).
fof(f218,plain,
( frontsegP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f83]) ).
fof(f233,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_253,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_293,plain,
! [X0: $i,X1: $i] : ssList(skaf48(X0,X1)),
inference(cnf_transformation,[],[f48]) ).
tcf(c_294,plain,
! [X0: $i,X1: $i] : ssList(skaf47(X0,X1)),
inference(cnf_transformation,[],[f49]) ).
tcf(c_301,plain,
! [X0: $i] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_316,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_317,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_318,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_322,plain,
! [X0: $i] :
( ssList(tl(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_323,plain,
! [X0: $i] :
( ssItem(hd(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_328,plain,
( frontsegP(nil,nil)
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_329,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_330,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_331,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_345,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_349,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(hd(X0),tl(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_360,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_363,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_365,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X1,nil),X0) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_384,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(cons(X2,X0),X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_385,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_386,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,X2: $i] :
( memberP(X1,X2)
| memberP(X0,X2)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(app(X0,X1),X2) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_413,plain,
! [X0: $i,X1: $i] :
( ( app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_424,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,[],[f233]) ).
tcf(c_433,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_434,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_435,negated_conjecture,
ssItem(sk5),
inference(cnf_transformation,[],[f206]) ).
tcf(c_436,negated_conjecture,
( memberP(sk4,sk5)
| memberP(sk3,sk5) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_437,negated_conjecture,
( ~ memberP(sk4,sk5)
| ~ memberP(sk3,sk5) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_438,negated_conjecture,
( ( sk3 = nil )
| ( sk4 != nil ) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_439,negated_conjecture,
( neq(sk3,nil)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_440,negated_conjecture,
( ( app(tl(sk3),cons(hd(sk3),nil)) = sk4 )
| ~ neq(nil,sk3)
| ~ neq(sk4,nil)
| ~ ssItem(hd(sk3))
| ~ ssList(tl(sk3))
| ~ ssList(cons(hd(sk3),nil))
| ~ ssList(app(tl(sk3),cons(hd(sk3),nil))) ),
inference(cnf_transformation,[],[f250]) ).
tcf(c_486,plain,
( ~ ssList(nil)
| ~ neq(nil,nil) ),
inference(instantiation,[status(thm)],[c_360]) ).
tcf(c_501,plain,
( ( nil = nil )
| ~ ssList(nil)
| ~ frontsegP(nil,nil) ),
inference(instantiation,[status(thm)],[c_329]) ).
tcf(c_1155,plain,
( ( app(tl(sk3),cons(hd(sk3),nil)) = sk4 )
| ~ neq(nil,sk3)
| ~ neq(sk4,nil)
| ~ ssItem(hd(sk3))
| ~ ssList(tl(sk3))
| ~ ssList(cons(hd(sk3),nil)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_440,c_330]) ).
tcf(c_7268,plain,
! [X0: $i] :
( ~ iPr_def_10
| ssItem(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_317]) ).
tcf(c_7269,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ ssList(X0)
| duplicatefreeP(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_317]) ).
tcf(c_7270,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_317]) ).
tcf(c_7271,definition,
iPr_def_12 = hd(sk3),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_7272,definition,
iPr_def_13 = cons(iPr_def_12,nil),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_7273,definition,
iPr_def_14 = tl(sk3),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_7274,definition,
iPr_def_15 = app(iPr_def_14,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_7275,plain,
( ( iPr_def_15 = sk4 )
| ~ ssItem(iPr_def_12)
| ~ ssList(iPr_def_14)
| ~ ssList(iPr_def_13)
| ~ neq(nil,sk3)
| ~ neq(sk4,nil) ),
inference(demodulation,[status(thm)],[c_1155,c_7274,c_7273,c_7271,c_7272]) ).
tcf(c_7276,negated_conjecture,
( ~ memberP(sk4,sk5)
| ~ memberP(sk3,sk5) ),
inference(demodulation,[status(thm)],[c_437]) ).
tcf(c_7277,negated_conjecture,
( memberP(sk4,sk5)
| memberP(sk3,sk5) ),
inference(demodulation,[status(thm)],[c_436]) ).
tcf(c_7278,negated_conjecture,
( neq(sk3,nil)
| ~ neq(sk4,nil) ),
inference(demodulation,[status(thm)],[c_439]) ).
tcf(c_7281,negated_conjecture,
ssList(sk4),
inference(demodulation,[status(thm)],[c_434]) ).
tcf(c_7282,negated_conjecture,
ssList(sk3),
inference(demodulation,[status(thm)],[c_433]) ).
tcf(c_7283,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_7285,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_7288,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( memberP(X0,X2)
| ~ memberP(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_7289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( neq(X0,X2)
| ~ neq(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_10841,plain,
app(sk3,nil) = sk3,
inference(superposition,[status(thm)],[c_7282,c_318]) ).
tcf(c_10842,plain,
app(sk4,nil) = sk4,
inference(superposition,[status(thm)],[c_7281,c_318]) ).
tcf(c_10866,plain,
! [X0: $i,X1: $i] : app(skaf47(X0,X1),nil) = skaf47(X0,X1),
inference(superposition,[status(thm)],[c_294,c_318]) ).
tcf(c_10968,plain,
( duplicatefreeP(sk4)
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_7281,c_7269]) ).
tcf(c_11153,plain,
( ssList(iPr_def_14)
| ( sk3 = nil )
| ~ ssList(sk3) ),
inference(superposition,[status(thm)],[c_7273,c_322]) ).
tcf(c_11157,plain,
( ssList(iPr_def_14)
| ( sk3 = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11153,c_7282]) ).
tcf(c_11176,plain,
( ssItem(iPr_def_12)
| ( sk3 = nil )
| ~ ssList(sk3) ),
inference(superposition,[status(thm)],[c_7271,c_323]) ).
tcf(c_11177,plain,
( ssItem(iPr_def_12)
| ( sk3 = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11176,c_7282]) ).
tcf(c_11290,plain,
( ssList(iPr_def_13)
| ~ ssItem(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_7272,c_331]) ).
tcf(c_11294,plain,
( ssList(iPr_def_13)
| ~ ssItem(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11290,c_253]) ).
tcf(c_11489,plain,
( ( sk4 = iPr_def_15 )
| ~ ssItem(iPr_def_12)
| ~ ssList(iPr_def_14)
| ~ neq(nil,sk3)
| ~ neq(sk4,nil) ),
inference(backward_subsumption_resolution,[status(thm)],[c_7275,c_11294]) ).
tcf(c_11902,plain,
( ~ ssItem(sk5)
| ~ memberP(nil,sk5) ),
inference(instantiation,[status(thm)],[c_316]) ).
tcf(c_12481,plain,
( ( sk4 = iPr_def_15 )
| ( sk4 = nil )
| ~ ssItem(iPr_def_12)
| ~ ssList(iPr_def_14)
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ neq(nil,sk3) ),
inference(superposition,[status(thm)],[c_345,c_11489]) ).
tcf(c_12482,plain,
( neq(sk3,nil)
| ( sk4 = nil )
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_345,c_7278]) ).
tcf(c_12485,plain,
( neq(sk3,nil)
| ( sk4 = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12482,c_253,c_7281]) ).
tcf(c_12488,plain,
( ( sk4 = iPr_def_15 )
| ( sk4 = nil )
| ~ ssItem(iPr_def_12)
| ~ ssList(iPr_def_14)
| ~ neq(nil,sk3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12481,c_253,c_7281]) ).
tcf(c_12534,plain,
( ( sk4 = iPr_def_15 )
| ( sk4 = nil )
| ( sk3 = nil )
| ~ ssItem(iPr_def_12)
| ~ ssList(iPr_def_14)
| ~ ssList(nil)
| ~ ssList(sk3) ),
inference(superposition,[status(thm)],[c_345,c_12488]) ).
tcf(c_12535,plain,
( ( sk4 = iPr_def_15 )
| ( sk4 = nil )
| ( sk3 = nil )
| ~ ssItem(iPr_def_12)
| ~ ssList(iPr_def_14) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12534,c_253,c_7282]) ).
tcf(c_12548,plain,
( ( sk4 = iPr_def_15 )
| ( sk3 = nil ) ),
inference(global_subsumption_just,[status(thm)],[c_12535,c_438,c_11157,c_11177,c_12535]) ).
tcf(c_12562,plain,
( duplicatefreeP(iPr_def_15)
| ( sk3 = nil )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_12548,c_10968]) ).
tcf(c_12787,plain,
( ( sk3 = nil )
| ( cons(hd(sk3),tl(sk3)) = sk3 ) ),
inference(superposition,[status(thm)],[c_7282,c_349]) ).
tcf(c_12826,plain,
( ( sk3 = nil )
| ( cons(iPr_def_12,iPr_def_14) = sk3 ) ),
inference(light_normalisation,[status(thm)],[c_12787,c_7271,c_7273]) ).
tcf(c_13752,plain,
! [X0: $i,X1: $i] :
( memberP(X0,X1)
| ~ memberP(sk3,sk5)
| ( X1 != sk5 )
| ( X0 != sk3 ) ),
inference(instantiation,[status(thm)],[c_7288]) ).
tcf(c_14980,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_424]) ).
tcf(c_14981,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_14980]) ).
tcf(c_18097,plain,
! [X0: $i] :
( memberP(X0,sk5)
| ~ memberP(sk3,sk5)
| ( sk5 != sk5 )
| ( X0 != sk3 ) ),
inference(instantiation,[status(thm)],[c_13752]) ).
tcf(c_18098,plain,
sk5 = sk5,
inference(instantiation,[status(thm)],[c_7283]) ).
tcf(c_18099,plain,
( memberP(nil,sk5)
| ~ memberP(sk3,sk5)
| ( nil != sk3 )
| ( sk5 != sk5 ) ),
inference(instantiation,[status(thm)],[c_18097]) ).
tcf(c_19411,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_330]) ).
tcf(c_19412,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_19411]) ).
tcf(c_21091,plain,
! [X0: $i,X1: $i] :
( memberP(X0,X1)
| ~ memberP(sk4,sk5)
| ( X1 != sk5 )
| ( X0 != sk4 ) ),
inference(instantiation,[status(thm)],[c_7288]) ).
tcf(c_21100,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,cons(sk5,X0)))
| ~ ssList(X1)
| ~ ssList(cons(sk5,X0)) ),
inference(instantiation,[status(thm)],[c_330]) ).
tcf(c_21101,plain,
( ssList(app(nil,cons(sk5,nil)))
| ~ ssList(nil)
| ~ ssList(cons(sk5,nil)) ),
inference(instantiation,[status(thm)],[c_21100]) ).
tcf(c_22279,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk3,X1),X0)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_10841,c_417]) ).
tcf(c_22280,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk4,X1),X0)
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_10842,c_417]) ).
tcf(c_22332,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk4,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22280,c_253,c_7281]) ).
tcf(c_22337,plain,
! [X0: $i,X1: $i] :
( segmentP(app(sk3,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22279,c_253,c_7282]) ).
tcf(c_24004,plain,
! [X0: $i] :
( segmentP(sk4,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_10842,c_22332]) ).
tcf(c_24009,plain,
! [X0: $i] :
( segmentP(sk4,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24004,c_253]) ).
tcf(c_24048,plain,
! [X0: $i] :
( segmentP(sk3,X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(superposition,[status(thm)],[c_10841,c_22337]) ).
tcf(c_24052,plain,
! [X0: $i] :
( segmentP(sk3,X0)
| ~ ssList(X0)
| ~ segmentP(nil,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24048,c_253]) ).
tcf(c_30343,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk4 )
| ( sk4 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_7285]) ).
tcf(c_30344,plain,
( ( nil = sk4 )
| ( nil != nil )
| ( sk4 != nil ) ),
inference(instantiation,[status(thm)],[c_30343]) ).
tcf(c_31530,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk3 )
| ( sk3 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_7285]) ).
tcf(c_31531,plain,
( ( nil = sk3 )
| ( nil != nil )
| ( sk3 != nil ) ),
inference(instantiation,[status(thm)],[c_31530]) ).
tcf(c_31981,plain,
! [X0: $i] :
( ssList(cons(sk5,X0))
| ~ ssItem(sk5)
| ~ ssList(X0) ),
inference(instantiation,[status(thm)],[c_331]) ).
tcf(c_31982,plain,
( ssList(cons(sk5,nil))
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_31981]) ).
tcf(c_33898,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_7269]) ).
tcf(c_33899,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_33898]) ).
tcf(c_37084,plain,
~ iPr_def_11,
inference(global_subsumption_just,[status(thm)],[c_12562,c_435,c_253,c_14981,c_19412,c_21101,c_31982,c_33899]) ).
tcf(c_37086,plain,
iPr_def_10,
inference(backward_subsumption_resolution,[status(thm)],[c_7270,c_37084]) ).
tcf(c_37099,plain,
! [X0: $i] : ssItem(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_7268,c_37086]) ).
tcf(c_37139,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X1,X2)
| memberP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(app(X0,X1),X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_403,c_37099]) ).
tcf(c_37146,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_386,c_37099]) ).
tcf(c_37147,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_385,c_37099]) ).
tcf(c_37148,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(cons(X2,X0),X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_384,c_37099]) ).
tcf(c_37156,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X1,nil),X0) = cons(X1,X0) )
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_365,c_37099]) ).
tcf(c_37169,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_331,c_37099]) ).
tcf(c_45480,plain,
( segmentP(sk4,nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_301,c_24009]) ).
tcf(c_45483,plain,
segmentP(sk4,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_45480,c_253]) ).
tcf(c_45485,plain,
( ( app(app(skaf47(sk4,nil),nil),skaf48(nil,sk4)) = sk4 )
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_45483,c_413]) ).
tcf(c_45494,plain,
app(app(skaf47(sk4,nil),nil),skaf48(nil,sk4)) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_45485,c_253,c_7281]) ).
tcf(c_45503,plain,
app(skaf47(sk4,nil),skaf48(nil,sk4)) = sk4,
inference(demodulation,[status(thm)],[c_45494,c_10866]) ).
tcf(c_45510,plain,
( ( skaf47(sk4,nil) = nil )
| ~ ssList(skaf47(sk4,nil))
| ~ ssList(skaf48(nil,sk4))
| ( sk4 != nil ) ),
inference(superposition,[status(thm)],[c_45503,c_363]) ).
tcf(c_45523,plain,
( ( skaf47(sk4,nil) = nil )
| ( sk4 != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45510,c_294,c_293]) ).
tcf(c_46547,plain,
( segmentP(sk3,nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_301,c_24052]) ).
tcf(c_46550,plain,
segmentP(sk3,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_46547,c_253]) ).
tcf(c_46909,plain,
( ( app(app(skaf47(sk3,nil),nil),skaf48(nil,sk3)) = sk3 )
| ~ ssList(nil)
| ~ ssList(sk3) ),
inference(superposition,[status(thm)],[c_46550,c_413]) ).
tcf(c_46916,plain,
app(app(skaf47(sk3,nil),nil),skaf48(nil,sk3)) = sk3,
inference(forward_subsumption_resolution,[status(thm)],[c_46909,c_253,c_7282]) ).
tcf(c_46971,plain,
app(skaf47(sk3,nil),skaf48(nil,sk3)) = sk3,
inference(demodulation,[status(thm)],[c_46916,c_10866]) ).
tcf(c_46976,plain,
( ( skaf47(sk3,nil) = nil )
| ~ ssList(skaf47(sk3,nil))
| ~ ssList(skaf48(nil,sk3))
| ( sk3 != nil ) ),
inference(superposition,[status(thm)],[c_46971,c_363]) ).
tcf(c_46987,plain,
( ( skaf47(sk3,nil) = nil )
| ( sk3 != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46976,c_294,c_293]) ).
tcf(c_50353,plain,
! [X0: $i,X1: $i] :
( neq(X0,X1)
| ~ neq(sk3,nil)
| ( X1 != nil )
| ( X0 != sk3 ) ),
inference(instantiation,[status(thm)],[c_7289]) ).
tcf(c_50354,plain,
( neq(nil,nil)
| ~ neq(sk3,nil)
| ( nil != nil )
| ( nil != sk3 ) ),
inference(instantiation,[status(thm)],[c_50353]) ).
tcf(c_51465,plain,
! [X0: $i] :
( memberP(X0,sk5)
| ~ memberP(sk4,sk5)
| ( sk5 != sk5 )
| ( X0 != sk4 ) ),
inference(instantiation,[status(thm)],[c_21091]) ).
tcf(c_51466,plain,
( memberP(nil,sk5)
| ~ memberP(sk4,sk5)
| ( nil != sk4 )
| ( sk5 != sk5 ) ),
inference(instantiation,[status(thm)],[c_51465]) ).
tcf(c_73439,plain,
sk4 != nil,
inference(global_subsumption_just,[status(thm)],[c_45523,c_435,c_253,c_436,c_328,c_438,c_501,c_11902,c_18099,c_18098,c_30344,c_31531,c_51466]) ).
tcf(c_75776,plain,
sk3 != nil,
inference(global_subsumption_just,[status(thm)],[c_46987,c_253,c_328,c_486,c_501,c_12485,c_31531,c_50354,c_73439]) ).
tcf(c_75799,plain,
sk4 = iPr_def_15,
inference(backward_subsumption_resolution,[status(thm)],[c_12548,c_75776]) ).
tcf(c_143319,plain,
( memberP(iPr_def_15,sk5)
| memberP(sk3,sk5) ),
inference(light_normalisation,[status(thm)],[c_7277,c_75799]) ).
tcf(c_143324,plain,
( ~ memberP(iPr_def_15,sk5)
| ~ memberP(sk3,sk5) ),
inference(light_normalisation,[status(thm)],[c_7276,c_75799]) ).
tcf(c_143468,plain,
( ssList(iPr_def_14)
| ( sk3 = nil )
| ~ ssList(sk3) ),
inference(superposition,[status(thm)],[c_7273,c_322]) ).
tcf(c_143471,plain,
( ssList(iPr_def_14)
| ( sk3 = nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_143468,c_7282]) ).
tcf(c_143508,plain,
ssList(iPr_def_14),
inference(global_subsumption_just,[status(thm)],[c_143471,c_435,c_253,c_436,c_328,c_486,c_438,c_501,c_11157,c_11902,c_12485,c_18099,c_18098,c_30344,c_31531,c_50354,c_51466]) ).
tcf(c_143522,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_331,c_37169]) ).
tcf(c_143528,plain,
( ssList(iPr_def_13)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_7272,c_143522]) ).
tcf(c_143531,plain,
ssList(iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_143528,c_253]) ).
tcf(c_144194,plain,
( ( sk3 = nil )
| ( cons(hd(sk3),tl(sk3)) = sk3 ) ),
inference(superposition,[status(thm)],[c_7282,c_349]) ).
tcf(c_144235,plain,
( ( sk3 = nil )
| ( cons(iPr_def_12,iPr_def_14) = sk3 ) ),
inference(light_normalisation,[status(thm)],[c_144194,c_7271,c_7273]) ).
tcf(c_144337,plain,
cons(iPr_def_12,iPr_def_14) = sk3,
inference(global_subsumption_just,[status(thm)],[c_144235,c_435,c_253,c_436,c_328,c_486,c_438,c_501,c_11902,c_12485,c_12826,c_18099,c_18098,c_30344,c_31531,c_50354,c_51466]) ).
tcf(c_144509,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X1,nil),X0) = cons(X1,X0) )
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_365,c_37156]) ).
tcf(c_144548,plain,
! [X0: $i] : app(cons(X0,nil),iPr_def_14) = cons(X0,iPr_def_14),
inference(superposition,[status(thm)],[c_143508,c_144509]) ).
tcf(c_145257,plain,
app(iPr_def_13,iPr_def_14) = cons(iPr_def_12,iPr_def_14),
inference(superposition,[status(thm)],[c_7272,c_144548]) ).
tcf(c_145263,plain,
app(iPr_def_13,iPr_def_14) = sk3,
inference(light_normalisation,[status(thm)],[c_145257,c_144337]) ).
tcf(c_146633,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(cons(X2,X0),X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_384,c_37148]) ).
tcf(c_146644,plain,
! [X0: $i] :
( memberP(sk3,X0)
| ~ ssList(iPr_def_14)
| ~ memberP(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_144337,c_146633]) ).
tcf(c_146645,plain,
! [X0: $i] :
( memberP(sk3,X0)
| ~ memberP(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146644,c_143508]) ).
tcf(c_146655,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_385,c_37147]) ).
tcf(c_146656,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(renaming,[status(thm)],[c_146655]) ).
tcf(c_146666,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssList(iPr_def_14)
| ~ ssList(iPr_def_13)
| ~ memberP(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_7274,c_146656]) ).
tcf(c_146735,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ memberP(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146666,c_143508,c_143531]) ).
tcf(c_146756,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_386,c_37146]) ).
tcf(c_146757,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X2,X0),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(renaming,[status(thm)],[c_146756]) ).
tcf(c_146767,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ ssList(iPr_def_14)
| ~ ssList(iPr_def_13)
| ~ memberP(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_7274,c_146757]) ).
tcf(c_146836,plain,
! [X0: $i] :
( memberP(iPr_def_15,X0)
| ~ memberP(iPr_def_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_146767,c_143508,c_143531]) ).
tcf(c_148920,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X1,X2)
| memberP(X0,X2)
| ~ memberP(app(X0,X1),X2)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(global_subsumption_just,[status(thm)],[c_403,c_37139]) ).
tcf(c_148921,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(X1,X2)
| memberP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(app(X0,X1),X2) ),
inference(renaming,[status(thm)],[c_148920]) ).
tcf(c_148935,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| memberP(iPr_def_13,X0)
| ~ ssList(iPr_def_14)
| ~ ssList(iPr_def_13)
| ~ memberP(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_7274,c_148921]) ).
tcf(c_149008,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| memberP(iPr_def_13,X0)
| ~ memberP(iPr_def_15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_148935,c_143508,c_143531]) ).
tcf(c_159263,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| memberP(iPr_def_13,X0)
| ~ ssList(iPr_def_14)
| ~ ssList(iPr_def_13)
| ~ memberP(sk3,X0) ),
inference(superposition,[status(thm)],[c_145263,c_148921]) ).
tcf(c_159272,plain,
! [X0: $i] :
( memberP(sk3,X0)
| ~ ssList(iPr_def_14)
| ~ ssList(iPr_def_13)
| ~ memberP(iPr_def_13,X0) ),
inference(superposition,[status(thm)],[c_145263,c_146656]) ).
tcf(c_159279,plain,
! [X0: $i] :
( memberP(sk3,X0)
| ~ memberP(iPr_def_13,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159272,c_143508,c_143531]) ).
tcf(c_159292,plain,
! [X0: $i] :
( memberP(iPr_def_14,X0)
| memberP(iPr_def_13,X0)
| ~ memberP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_159263,c_143508,c_143531]) ).
tcf(c_170537,plain,
( memberP(iPr_def_15,sk5)
| memberP(iPr_def_14,sk5)
| memberP(iPr_def_13,sk5) ),
inference(superposition,[status(thm)],[c_143319,c_159292]) ).
tcf(c_170546,plain,
memberP(iPr_def_15,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_170537,c_146735,c_146836]) ).
tcf(c_170547,plain,
~ memberP(sk3,sk5),
inference(backward_subsumption_resolution,[status(thm)],[c_143324,c_170546]) ).
tcf(c_170549,plain,
( memberP(iPr_def_14,sk5)
| memberP(iPr_def_13,sk5) ),
inference(superposition,[status(thm)],[c_170546,c_149008]) ).
tcf(c_170950,plain,
( memberP(iPr_def_13,sk5)
| memberP(sk3,sk5) ),
inference(superposition,[status(thm)],[c_170549,c_146645]) ).
tcf(c_170951,plain,
memberP(iPr_def_13,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_170950,c_170547]) ).
tcf(c_170954,plain,
memberP(sk3,sk5),
inference(superposition,[status(thm)],[c_170951,c_159279]) ).
tcf(c_170956,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_170954,c_170547]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC376-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 17:57:06 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 62.20/13.39 % SZS status Started for theBenchmark.p
% 62.20/13.39 % SZS status Unsatisfiable for theBenchmark.p
% 62.20/13.39
% 62.20/13.39 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 62.20/13.39
% 62.20/13.39 % ------ iProver source info
% 62.20/13.39
% 62.20/13.39 % git: date: 2026-07-19 20:42:38 +0200
% 62.20/13.39 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 62.20/13.39 % git: non_committed_changes: false
% 62.20/13.39
% 62.20/13.39 % ------ Parsing...% successful
% 62.20/13.39
% 62.20/13.39
% 62.20/13.39 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 62.20/13.39
% 62.20/13.39 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 62.20/13.39
% 62.20/13.39 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 62.20/13.39
% 62.20/13.39 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 62.20/13.39 % ------ Proving...
% 62.20/13.39 % ------ Problem Properties
% 62.20/13.39
% 62.20/13.39 %
% 62.20/13.39 % clauses 193
% 62.20/13.39 % conjectures 7
% 62.20/13.39 % EPR 64
% 62.20/13.39 % Horn 162
% 62.20/13.39 % unary 65
% 62.20/13.39 % binary 27
% 62.20/13.39 % lits 574
% 62.20/13.39 % lits eq 78
% 62.20/13.39 % fd_pure 0
% 62.20/13.39 % fd_pseudo 0
% 62.20/13.39 % fd_cond 15
% 62.20/13.39 % fd_pseudo_cond 16
% 62.20/13.39 % AC symbols 0
% 62.20/13.39
% 62.20/13.39 % ------ Schedule dynamic 5 is on
% 62.20/13.39
% 62.20/13.39 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 62.20/13.39
% 62.20/13.39
% 62.20/13.39 % ------
% 62.20/13.39 % Current options:
% 62.20/13.39 % ------
% 62.20/13.39
% 62.20/13.39
% 62.20/13.39 %
% 62.20/13.39
% 62.20/13.39 % ------ Proving...
% 62.20/13.39 % Proof_search_loop: time out after: 6564 full_loop iterations
% 62.20/13.39
% 62.20/13.39 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 62.20/13.39
% 62.20/13.39
% 62.20/13.39 % ------
% 62.20/13.39 % Current options:
% 62.20/13.39 % ------
% 62.20/13.39
% 62.20/13.39
% 62.20/13.39 %
% 62.20/13.39
% 62.20/13.39 % ------ Proving...
% 62.20/13.39 %
% 62.20/13.39
% 62.20/13.39 % SZS status Unsatisfiable for theBenchmark.p
% 62.20/13.39
% 62.20/13.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 62.20/13.39
% 62.20/13.39
%------------------------------------------------------------------------------