%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC306-1 : 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 : n011.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 03:09:14 PM UTC 2026
% Result : Unsatisfiable 34.74s 7.95s
% Output : CNFRefutation 34.74s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f252ERROR: Could not build tree for root c_83425ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause12) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause13) ).
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(f84,axiom,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause84) ).
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(f112,axiom,
! [X0] :
( nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause109) ).
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(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(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(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(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(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(f188,axiom,
! [X2,X3,X0,X1] :
( frontsegP(X1,X3)
| ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause174) ).
fof(f189,axiom,
! [X2,X3,X0,X1] :
( memberP(X3,X1)
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| app(X0,cons(X1,X2)) != X3 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause175) ).
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(f215,negated_conjecture,
( nil = sk3
| ssItem(sk10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f216,negated_conjecture,
( nil = sk4
| cons(sk10,nil) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f217,plain,
( nil = sk4
| sk3 = cons(sk10,nil) ),
inference(reorient_equations,[],[f216]) ).
fof(f219,negated_conjecture,
( nil = sk3
| cons(sk10,nil) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f220,plain,
( nil = sk3
| sk3 = cons(sk10,nil) ),
inference(reorient_equations,[],[f219]) ).
fof(f224,plain,
sk3 = app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9),
inference(definition_unfolding,[],[f212,f205]) ).
fof(f235,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(equality_resolution,[],[f154]) ).
fof(f236,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f155]) ).
fof(f240,plain,
! [X2,X0,X1] :
( memberP(app(X0,cons(X1,X2)),X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(equality_resolution,[],[f189]) ).
tcf(c_260,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_264,plain,
! [X0: $i] : ssItem(skaf83(X0)),
inference(cnf_transformation,[],[f12]) ).
tcf(c_265,plain,
! [X0: $i] : ssList(skaf82(X0)),
inference(cnf_transformation,[],[f13]) ).
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_336,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ~ frontsegP(nil,X0) ),
inference(cnf_transformation,[],[f84]) ).
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_350,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_361,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(skaf83(X0),skaf82(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f112]) ).
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_380,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
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_390,plain,
! [X0: $i,X1: $i] :
( memberP(cons(X1,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f252]) ).
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_395,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f235]) ).
tcf(c_396,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f236]) ).
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_426,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( frontsegP(X1,X3)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_427,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X0,cons(X1,X2)),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(X1,X2))) ),
inference(cnf_transformation,[],[f240]) ).
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,
ssItem(sk6),
inference(cnf_transformation,[],[f207]) ).
tcf(c_444,negated_conjecture,
ssList(sk7),
inference(cnf_transformation,[],[f208]) ).
tcf(c_445,negated_conjecture,
ssList(sk8),
inference(cnf_transformation,[],[f209]) ).
tcf(c_446,negated_conjecture,
ssList(sk9),
inference(cnf_transformation,[],[f210]) ).
tcf(c_447,negated_conjecture,
app(app(app(app(sk7,cons(sk5,nil)),sk8),cons(sk6,nil)),sk9) = sk3,
inference(cnf_transformation,[],[f224]) ).
tcf(c_450,negated_conjecture,
( ssItem(sk10)
| ( sk3 = nil ) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_451,negated_conjecture,
( ( sk4 = nil )
| ( cons(sk10,nil) = sk3 ) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_453,negated_conjecture,
( ( sk3 = nil )
| ( cons(sk10,nil) = sk3 ) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_840,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_841,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_396,c_337]) ).
tcf(c_6554,definition,
iPr_def_12 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_6555,definition,
iPr_def_13 = app(sk7,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_6556,definition,
iPr_def_14 = app(iPr_def_13,sk8),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_6557,definition,
iPr_def_15 = cons(sk6,nil),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_6558,definition,
iPr_def_16 = app(iPr_def_14,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_6559,definition,
iPr_def_17 = app(iPr_def_16,sk9),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_6560,definition,
iPr_def_18 = cons(sk10,nil),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_6561,negated_conjecture,
iPr_def_17 = sk3,
inference(demodulation,[status(thm)],[c_447,c_6557,c_6554,c_6555,c_6556,c_6558,c_6559]) ).
tcf(c_6563,negated_conjecture,
( ( iPr_def_18 = sk3 )
| ( sk3 = nil ) ),
inference(demodulation,[status(thm)],[c_453,c_6560]) ).
tcf(c_6565,negated_conjecture,
( ( iPr_def_18 = sk3 )
| ( sk4 = nil ) ),
inference(demodulation,[status(thm)],[c_451]) ).
tcf(c_6566,negated_conjecture,
( ssItem(sk10)
| ( sk3 = nil ) ),
inference(demodulation,[status(thm)],[c_450]) ).
tcf(c_6569,negated_conjecture,
ssList(sk9),
inference(demodulation,[status(thm)],[c_446]) ).
tcf(c_6570,negated_conjecture,
ssList(sk8),
inference(demodulation,[status(thm)],[c_445]) ).
tcf(c_6571,negated_conjecture,
ssList(sk7),
inference(demodulation,[status(thm)],[c_444]) ).
tcf(c_6572,negated_conjecture,
ssItem(sk6),
inference(demodulation,[status(thm)],[c_443]) ).
tcf(c_6573,negated_conjecture,
ssItem(sk5),
inference(demodulation,[status(thm)],[c_442]) ).
tcf(c_6574,negated_conjecture,
ssList(sk4),
inference(demodulation,[status(thm)],[c_441]) ).
tcf(c_6575,negated_conjecture,
ssList(sk3),
inference(demodulation,[status(thm)],[c_440]) ).
tcf(c_9156,plain,
ssList(iPr_def_17),
inference(light_normalisation,[status(thm)],[c_6575,c_6561]) ).
tcf(c_9157,plain,
( ssItem(sk10)
| ( nil = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_6566,c_6561]) ).
tcf(c_9175,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( nil = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_6563,c_6561]) ).
tcf(c_9207,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( sk4 = nil ) ),
inference(light_normalisation,[status(thm)],[c_6565,c_6561]) ).
tcf(c_9394,plain,
app(sk4,nil) = sk4,
inference(superposition,[status(thm)],[c_6574,c_325]) ).
tcf(c_9397,plain,
app(sk9,nil) = sk9,
inference(superposition,[status(thm)],[c_6569,c_325]) ).
tcf(c_9426,plain,
app(iPr_def_17,nil) = iPr_def_17,
inference(superposition,[status(thm)],[c_9156,c_325]) ).
tcf(c_9519,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( app(sk4,iPr_def_17) = sk4 ) ),
inference(superposition,[status(thm)],[c_9175,c_9394]) ).
tcf(c_9528,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( app(sk9,iPr_def_17) = sk9 ) ),
inference(superposition,[status(thm)],[c_9175,c_9397]) ).
tcf(c_9721,plain,
( ssList(iPr_def_13)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_6555,c_337]) ).
tcf(c_9722,plain,
( ssList(iPr_def_14)
| ~ ssList(iPr_def_13)
| ~ ssList(sk8) ),
inference(superposition,[status(thm)],[c_6556,c_337]) ).
tcf(c_9723,plain,
( ssList(iPr_def_16)
| ~ ssList(iPr_def_15)
| ~ ssList(iPr_def_14) ),
inference(superposition,[status(thm)],[c_6558,c_337]) ).
tcf(c_9741,plain,
( ssList(iPr_def_14)
| ~ ssList(iPr_def_13) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9722,c_6570]) ).
tcf(c_9744,plain,
( ssList(iPr_def_13)
| ~ ssList(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9721,c_6571]) ).
tcf(c_9833,plain,
( ssList(iPr_def_12)
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_6554,c_338]) ).
tcf(c_9834,plain,
( ssList(iPr_def_15)
| ~ ssItem(sk6)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_6557,c_338]) ).
tcf(c_9844,plain,
ssList(iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_9834,c_6572,c_260]) ).
tcf(c_9845,plain,
ssList(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_9833,c_6573,c_260]) ).
tcf(c_9856,plain,
ssList(iPr_def_13),
inference(backward_subsumption_resolution,[status(thm)],[c_9744,c_9845]) ).
tcf(c_9857,plain,
ssList(iPr_def_14),
inference(backward_subsumption_resolution,[status(thm)],[c_9741,c_9856]) ).
tcf(c_9886,plain,
app(nil,iPr_def_15) = iPr_def_15,
inference(superposition,[status(thm)],[c_9844,c_326]) ).
tcf(c_10176,plain,
( rearsegP(iPr_def_17,sk9)
| ~ ssList(iPr_def_16)
| ~ ssList(sk9) ),
inference(superposition,[status(thm)],[c_6559,c_840]) ).
tcf(c_10187,plain,
( rearsegP(iPr_def_17,nil)
| ~ ssList(iPr_def_17)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9426,c_840]) ).
tcf(c_10188,plain,
( rearsegP(sk4,iPr_def_17)
| ( iPr_def_17 = iPr_def_18 )
| ~ ssList(iPr_def_17)
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_9519,c_840]) ).
tcf(c_10191,plain,
( rearsegP(sk9,iPr_def_17)
| ( iPr_def_17 = iPr_def_18 )
| ~ ssList(iPr_def_17)
| ~ ssList(sk9) ),
inference(superposition,[status(thm)],[c_9528,c_840]) ).
tcf(c_10218,plain,
rearsegP(iPr_def_17,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_10187,c_9156,c_260]) ).
tcf(c_10223,plain,
( rearsegP(iPr_def_17,sk9)
| ~ ssList(iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10176,c_6569]) ).
tcf(c_10240,plain,
( rearsegP(sk9,iPr_def_17)
| ( iPr_def_17 = iPr_def_18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10191,c_9156,c_6569]) ).
tcf(c_10249,plain,
( rearsegP(sk4,iPr_def_17)
| ( iPr_def_17 = iPr_def_18 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10188,c_9156,c_6574]) ).
tcf(c_10301,plain,
( frontsegP(iPr_def_17,iPr_def_16)
| ~ ssList(iPr_def_16)
| ~ ssList(sk9) ),
inference(superposition,[status(thm)],[c_6559,c_841]) ).
tcf(c_10348,plain,
( frontsegP(iPr_def_17,iPr_def_16)
| ~ ssList(iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10301,c_6569]) ).
tcf(c_10911,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ( nil != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_6554,c_350]) ).
tcf(c_10912,plain,
( ~ ssItem(sk6)
| ~ ssList(nil)
| ( nil != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_6557,c_350]) ).
tcf(c_10920,plain,
nil != iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_10912,c_6572,c_260]) ).
tcf(c_10921,plain,
nil != iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_10911,c_6573,c_260]) ).
tcf(c_10988,plain,
rearsegP(iPr_def_17,sk9),
inference(global_subsumption_just,[status(thm)],[c_10223,c_9723,c_9857,c_9844,c_10223]) ).
tcf(c_11093,plain,
frontsegP(iPr_def_17,iPr_def_16),
inference(global_subsumption_just,[status(thm)],[c_10348,c_9723,c_9857,c_9844,c_10348]) ).
tcf(c_11111,plain,
( rearsegP(nil,iPr_def_17)
| ( iPr_def_17 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_9207,c_10249]) ).
tcf(c_11567,plain,
! [X0: $i] :
( ( app(cons(X0,nil),sk4) = cons(X0,sk4) )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_6574,c_372]) ).
tcf(c_11896,plain,
( ( nil = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(sk8)
| ( nil != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6556,c_370]) ).
tcf(c_11897,plain,
( ( nil = iPr_def_14 )
| ~ ssList(iPr_def_15)
| ~ ssList(iPr_def_14)
| ( nil != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_6558,c_370]) ).
tcf(c_11898,plain,
( ( nil = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ~ ssList(sk9)
| ( nil != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6559,c_370]) ).
tcf(c_11936,plain,
( ( nil = iPr_def_16 )
| ~ ssList(iPr_def_16)
| ( nil != iPr_def_17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11898,c_6569]) ).
tcf(c_11940,plain,
( ( nil = iPr_def_14 )
| ( nil != iPr_def_16 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11897,c_9844,c_9857]) ).
tcf(c_11943,plain,
( ( nil = iPr_def_13 )
| ( nil != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11896,c_9856,c_6570]) ).
tcf(c_11958,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ( nil != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6555,c_371]) ).
tcf(c_11960,plain,
( ( nil = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(iPr_def_14)
| ( nil != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_6558,c_371]) ).
tcf(c_12003,plain,
nil != iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_11960,c_10920,c_9844,c_9857]) ).
tcf(c_12007,plain,
nil != iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_11958,c_10921,c_9845,c_6571]) ).
tcf(c_12719,plain,
( ( nil = iPr_def_17 )
| ~ ssList(iPr_def_17)
| ~ ssList(nil)
| ~ rearsegP(nil,iPr_def_17) ),
inference(superposition,[status(thm)],[c_10218,c_380]) ).
tcf(c_12736,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( sk9 = iPr_def_17 )
| ~ ssList(iPr_def_17)
| ~ ssList(sk9)
| ~ rearsegP(iPr_def_17,sk9) ),
inference(superposition,[status(thm)],[c_10240,c_380]) ).
tcf(c_12778,plain,
( ( nil = iPr_def_17 )
| ~ rearsegP(nil,iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12719,c_9156,c_260]) ).
tcf(c_12815,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( sk9 = iPr_def_17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12736,c_9156,c_6569,c_10988]) ).
tcf(c_13203,plain,
( ( app(skaf46(iPr_def_17,sk9),sk9) = iPr_def_17 )
| ~ ssList(iPr_def_17)
| ~ ssList(sk9) ),
inference(superposition,[status(thm)],[c_10988,c_383]) ).
tcf(c_13247,plain,
app(skaf46(iPr_def_17,sk9),sk9) = iPr_def_17,
inference(forward_subsumption_resolution,[status(thm)],[c_13203,c_9156,c_6569]) ).
tcf(c_13400,plain,
iPr_def_17 = iPr_def_18,
inference(global_subsumption_just,[status(thm)],[c_12815,c_9723,c_9857,c_9844,c_11111,c_11943,c_11940,c_11936,c_12007,c_12778]) ).
tcf(c_13444,plain,
cons(sk10,nil) = iPr_def_17,
inference(demodulation,[status(thm)],[c_6560,c_13400]) ).
tcf(c_13928,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_6559,c_392]) ).
tcf(c_13958,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_13928,c_6569]) ).
tcf(c_14869,plain,
( ( sk9 = nil )
| ~ ssList(sk9)
| ~ ssList(skaf46(iPr_def_17,sk9))
| ( nil != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_13247,c_371]) ).
tcf(c_14878,plain,
( ( sk9 = nil )
| ( nil != iPr_def_17 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14869,c_6569,c_302]) ).
tcf(c_15847,plain,
nil != iPr_def_17,
inference(global_subsumption_just,[status(thm)],[c_14878,c_9723,c_9857,c_9844,c_11943,c_11940,c_11936,c_12007]) ).
tcf(c_15850,plain,
ssItem(sk10),
inference(backward_subsumption_resolution,[status(thm)],[c_9157,c_15847]) ).
tcf(c_20968,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,X1)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(iPr_def_15,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_6557,c_426]) ).
tcf(c_20985,plain,
! [X0: $i,X1: $i] :
( frontsegP(nil,X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(iPr_def_15,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20968,c_6572,c_260]) ).
tcf(c_21044,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_15),sk6)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(X0,cons(sk6,nil))) ),
inference(superposition,[status(thm)],[c_6557,c_427]) ).
tcf(c_21047,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_15),sk6)
| ~ ssItem(sk6)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_15)) ),
inference(light_normalisation,[status(thm)],[c_21044,c_6557]) ).
tcf(c_21048,plain,
! [X0: $i] :
( memberP(app(X0,iPr_def_15),sk6)
| ~ ssList(X0)
| ~ ssList(app(X0,iPr_def_15)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21047,c_6572,c_260]) ).
tcf(c_25627,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( X0 = sk10 )
| ~ ssItem(sk10)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ memberP(iPr_def_17,X0) ),
inference(superposition,[status(thm)],[c_13444,c_413]) ).
tcf(c_25665,plain,
! [X0: $i] :
( memberP(nil,X0)
| ( X0 = sk10 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_17,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25627,c_15850,c_260]) ).
tcf(c_27366,plain,
app(cons(sk10,nil),sk4) = cons(sk10,sk4),
inference(superposition,[status(thm)],[c_15850,c_11567]) ).
tcf(c_27386,plain,
cons(sk10,sk4) = app(iPr_def_17,sk4),
inference(light_normalisation,[status(thm)],[c_27366,c_13444]) ).
tcf(c_27813,plain,
! [X0: $i] :
( memberP(iPr_def_17,X0)
| ~ memberP(iPr_def_16,X0)
| ~ ssItem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_13958,c_9723,c_9857,c_9844,c_13958]) ).
tcf(c_27814,plain,
! [X0: $i] :
( memberP(iPr_def_17,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_16,X0) ),
inference(renaming,[status(thm)],[c_27813]) ).
tcf(c_29256,plain,
( memberP(iPr_def_16,sk6)
| ~ ssList(iPr_def_14)
| ~ ssList(app(iPr_def_14,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_6558,c_21048]) ).
tcf(c_29260,plain,
( memberP(iPr_def_16,sk6)
| ~ ssList(iPr_def_16)
| ~ ssList(iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_29256,c_6558]) ).
tcf(c_29261,plain,
( memberP(iPr_def_16,sk6)
| ~ ssList(iPr_def_16) ),
inference(forward_subsumption_resolution,[status(thm)],[c_29260,c_9857]) ).
tcf(c_29345,plain,
memberP(iPr_def_16,sk6),
inference(global_subsumption_just,[status(thm)],[c_29261,c_9723,c_9857,c_9844,c_29261]) ).
tcf(c_29348,plain,
( memberP(iPr_def_17,sk6)
| ~ ssItem(sk6) ),
inference(superposition,[status(thm)],[c_29345,c_27814]) ).
tcf(c_29349,plain,
memberP(iPr_def_17,sk6),
inference(forward_subsumption_resolution,[status(thm)],[c_29348,c_6572]) ).
tcf(c_35748,plain,
ssList(iPr_def_16),
inference(global_subsumption_just,[status(thm)],[c_9723,c_9723,c_9857,c_9844]) ).
tcf(c_35767,plain,
( ( nil = iPr_def_16 )
| ( cons(skaf83(iPr_def_16),skaf82(iPr_def_16)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_35748,c_361]) ).
tcf(c_35780,plain,
cons(skaf83(iPr_def_16),skaf82(iPr_def_16)) = iPr_def_16,
inference(forward_subsumption_resolution,[status(thm)],[c_35767,c_12003]) ).
tcf(c_57905,plain,
! [X0: $i] :
( memberP(cons(sk10,sk4),X0)
| ~ ssList(iPr_def_17)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(iPr_def_17,X0) ),
inference(superposition,[status(thm)],[c_27386,c_392]) ).
tcf(c_57929,plain,
! [X0: $i] :
( memberP(cons(sk10,sk4),X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_17,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_57905,c_9156,c_6574]) ).
tcf(c_61383,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ( X0 = sk10 )
| ~ ssItem(sk10)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(iPr_def_17,X0) ),
inference(superposition,[status(thm)],[c_57929,c_413]) ).
tcf(c_61384,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ( X0 = sk10 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_17,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_61383,c_15850,c_6574]) ).
tcf(c_66982,plain,
( memberP(iPr_def_16,skaf83(iPr_def_16))
| ~ ssItem(skaf83(iPr_def_16))
| ~ ssList(skaf82(iPr_def_16)) ),
inference(superposition,[status(thm)],[c_35780,c_390]) ).
tcf(c_67005,plain,
memberP(iPr_def_16,skaf83(iPr_def_16)),
inference(forward_subsumption_resolution,[status(thm)],[c_66982,c_264,c_265]) ).
tcf(c_67315,plain,
( memberP(iPr_def_17,skaf83(iPr_def_16))
| ~ ssItem(skaf83(iPr_def_16)) ),
inference(superposition,[status(thm)],[c_67005,c_27814]) ).
tcf(c_67316,plain,
memberP(iPr_def_17,skaf83(iPr_def_16)),
inference(forward_subsumption_resolution,[status(thm)],[c_67315,c_264]) ).
tcf(c_73445,plain,
! [X0: $i] :
( ~ memberP(iPr_def_17,X0)
| ~ ssItem(X0)
| ( X0 = sk10 ) ),
inference(global_subsumption_just,[status(thm)],[c_61384,c_323,c_25665]) ).
tcf(c_73446,plain,
! [X0: $i] :
( ( X0 = sk10 )
| ~ ssItem(X0)
| ~ memberP(iPr_def_17,X0) ),
inference(renaming,[status(thm)],[c_73445]) ).
tcf(c_73455,plain,
( ( sk6 = sk10 )
| ~ ssItem(sk6) ),
inference(superposition,[status(thm)],[c_29349,c_73446]) ).
tcf(c_73457,plain,
( ( skaf83(iPr_def_16) = sk10 )
| ~ ssItem(skaf83(iPr_def_16)) ),
inference(superposition,[status(thm)],[c_67316,c_73446]) ).
tcf(c_73458,plain,
sk6 = sk10,
inference(forward_subsumption_resolution,[status(thm)],[c_73455,c_6572]) ).
tcf(c_73459,plain,
skaf83(iPr_def_16) = sk10,
inference(forward_subsumption_resolution,[status(thm)],[c_73457,c_264]) ).
tcf(c_73562,plain,
cons(sk10,nil) = iPr_def_15,
inference(demodulation,[status(thm)],[c_6557,c_73458]) ).
tcf(c_73565,plain,
iPr_def_15 = iPr_def_17,
inference(demodulation,[status(thm)],[c_13444,c_73562]) ).
tcf(c_73656,plain,
frontsegP(iPr_def_15,iPr_def_16),
inference(demodulation,[status(thm)],[c_11093,c_73565]) ).
tcf(c_73785,plain,
cons(sk10,skaf82(iPr_def_16)) = iPr_def_16,
inference(demodulation,[status(thm)],[c_35780,c_73459]) ).
tcf(c_81687,plain,
( frontsegP(nil,skaf82(iPr_def_16))
| ~ ssItem(sk10)
| ~ frontsegP(iPr_def_15,iPr_def_16)
| ~ ssList(skaf82(iPr_def_16)) ),
inference(superposition,[status(thm)],[c_73785,c_20985]) ).
tcf(c_81722,plain,
frontsegP(nil,skaf82(iPr_def_16)),
inference(forward_subsumption_resolution,[status(thm)],[c_81687,c_15850,c_73656,c_265]) ).
tcf(c_81938,plain,
( ( skaf82(iPr_def_16) = nil )
| ~ ssList(skaf82(iPr_def_16)) ),
inference(superposition,[status(thm)],[c_81722,c_336]) ).
tcf(c_81946,plain,
skaf82(iPr_def_16) = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_81938,c_265]) ).
tcf(c_81953,plain,
cons(sk10,nil) = iPr_def_16,
inference(demodulation,[status(thm)],[c_73785,c_81946]) ).
tcf(c_81955,plain,
iPr_def_15 = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_81953,c_73562]) ).
tcf(c_81996,plain,
app(iPr_def_14,iPr_def_15) = iPr_def_15,
inference(demodulation,[status(thm)],[c_6558,c_81955]) ).
tcf(c_83400,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ ssList(iPr_def_15)
| ~ ssList(iPr_def_14)
| ~ ssList(X0)
| ( app(X0,iPr_def_15) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81996,c_403]) ).
tcf(c_83411,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ ssList(X0)
| ( app(X0,iPr_def_15) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_83400,c_9844,c_9857]) ).
tcf(c_83424,plain,
( ( nil = iPr_def_14 )
| ~ ssList(nil)
| ( app(nil,iPr_def_15) != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_83411]) ).
tcf(c_83425,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_83424,c_12007,c_11943,c_9886,c_260]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC306-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.42 % Computer : n011.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Thu Sep 24 17:32:14 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/0.47 Running first-order theorem proving
% 0.15/0.47 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
% 0.21/0.49
% 0.21/0.49 % ======== iProver multi-core TPTP/SMT =========
% 0.21/0.49
% 0.21/0.49 % Detected problem language: tptp
% 0.21/0.50 % Proving...
% 34.74/7.95 % SZS status Started for theBenchmark.p
% 34.74/7.95 % SZS status Unsatisfiable for theBenchmark.p
% 34.74/7.95
% 34.74/7.95 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 34.74/7.95
% 34.74/7.95 % ------ iProver source info
% 34.74/7.95
% 34.74/7.95 % git: date: 2026-07-19 20:42:38 +0200
% 34.74/7.95 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 34.74/7.95 % git: non_committed_changes: false
% 34.74/7.95
% 34.74/7.95 % ------ Parsing...% successful
% 34.74/7.95
% 34.74/7.95
% 34.74/7.95 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 34.74/7.95
% 34.74/7.95 % ------ 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 %
% 34.74/7.95
% 34.74/7.95 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 34.74/7.95
% 34.74/7.95 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 34.74/7.95 % ------ Proving...
% 34.74/7.95 % ------ Problem Properties
% 34.74/7.95
% 34.74/7.95 %
% 34.74/7.95 % clauses 199
% 34.74/7.95 % conjectures 15
% 34.74/7.95 % EPR 67
% 34.74/7.95 % Horn 165
% 34.74/7.95 % unary 74
% 34.74/7.95 % binary 27
% 34.74/7.95 % lits 569
% 34.74/7.95 % lits eq 85
% 34.74/7.95 % fd_pure 0
% 34.74/7.95 % fd_pseudo 0
% 34.74/7.95 % fd_cond 15
% 34.74/7.95 % fd_pseudo_cond 14
% 34.74/7.95 % AC symbols 0
% 34.74/7.95
% 34.74/7.95 % ------ Schedule dynamic 5 is on
% 34.74/7.95
% 34.74/7.95 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 34.74/7.95
% 34.74/7.95
% 34.74/7.95 % ------
% 34.74/7.95 % Current options:
% 34.74/7.95 % ------
% 34.74/7.95
% 34.74/7.95
% 34.74/7.95 %
% 34.74/7.95
% 34.74/7.95 % ------ Proving...
% 34.74/7.95 %
% 34.74/7.95
% 34.74/7.95 % SZS status Unsatisfiable for theBenchmark.p
% 34.74/7.95
% 34.74/7.95 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 34.74/7.96
% 34.74/7.96
%------------------------------------------------------------------------------