%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC169-1 : 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 : 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 03:08:12 PM UTC 2026
% Result : Unsatisfiable 22.40s 29.52s
% Output : CNFRefutation 22.40s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f251ERROR: Could not build tree for root c_56387ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause50) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause52) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause53) ).
fof(f65,axiom,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause65) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
fof(f77,axiom,
! [X0] :
( nil = X0
| ssList(tl(X0))
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause77) ).
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(f96,axiom,
! [X0,X1] :
( tl(cons(X0,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause96) ).
fof(f98,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != nil ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause98) ).
fof(f99,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| nil != cons(X0,X1) ),
inference(reorient_equations,[],[f98]) ).
fof(f104,axiom,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause102) ).
fof(f105,plain,
! [X0,X1] :
( X0 = X1
| neq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f104]) ).
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(f123,axiom,
! [X0,X1] :
( nil = X1
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
file('/export/starexec/sandbox/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/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(f142,axiom,
! [X0,X1] :
( app(skaf46(X0,X1),X1) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause131) ).
fof(f144,axiom,
! [X0,X1] :
( tl(app(X1,X0)) = app(tl(X1),X0)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause133) ).
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(f154,axiom,
! [X2,X0,X1] :
( rearsegP(X2,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause143) ).
fof(f163,axiom,
! [X2,X0,X1] :
( X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X1) != app(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause151) ).
fof(f182,axiom,
! [X0,X1] :
( app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause169) ).
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(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,
ssItem(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,plain,
sk1 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(reorient_equations,[],[f210]) ).
fof(f212,negated_conjecture,
~ neq(sk5,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f214,negated_conjecture,
( nil = sk3
| ssItem(sk9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f218,negated_conjecture,
( nil = sk3
| cons(sk9,nil) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f219,plain,
( nil = sk3
| sk3 = cons(sk9,nil) ),
inference(reorient_equations,[],[f218]) ).
fof(f223,plain,
sk3 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(definition_unfolding,[],[f211,f205]) ).
fof(f234,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(equality_resolution,[],[f154]) ).
fof(f241,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_259,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_301,plain,
! [X0: $i,X1: $i] : ssList(skaf46(X0,X1)),
inference(cnf_transformation,[],[f50]) ).
tcf(c_303,plain,
! [X0: $i,X1: $i] : ssList(skaf43(X0,X1)),
inference(cnf_transformation,[],[f52]) ).
tcf(c_304,plain,
! [X0: $i,X1: $i] : ssList(skaf42(X0,X1)),
inference(cnf_transformation,[],[f53]) ).
tcf(c_316,plain,
! [X0: $i] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_324,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_325,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_328,plain,
! [X0: $i] :
( ssList(tl(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_336,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_337,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_347,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(X1,X0)) = X0 )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_349,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_353,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_369,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_370,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_371,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X1,nil),X0) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_382,plain,
! [X0: $i,X1: $i] :
( ( app(skaf46(X0,X1),X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_384,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( app(tl(X1),X0) = tl(app(X1,X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_389,plain,
! [X0: $i,X1: $i] :
( memberP(cons(X1,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f251]) ).
tcf(c_392,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(app(X2,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_394,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_402,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_420,plain,
! [X0: $i,X1: $i] :
( ( app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 )
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_430,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,[],[f241]) ).
tcf(c_439,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_440,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_441,negated_conjecture,
ssItem(sk5),
inference(cnf_transformation,[],[f206]) ).
tcf(c_442,negated_conjecture,
ssItem(sk6),
inference(cnf_transformation,[],[f207]) ).
tcf(c_443,negated_conjecture,
ssList(sk7),
inference(cnf_transformation,[],[f208]) ).
tcf(c_444,negated_conjecture,
ssList(sk8),
inference(cnf_transformation,[],[f209]) ).
tcf(c_445,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk3,
inference(cnf_transformation,[],[f223]) ).
tcf(c_446,negated_conjecture,
~ neq(sk5,sk6),
inference(cnf_transformation,[],[f212]) ).
tcf(c_448,negated_conjecture,
( ssItem(sk9)
| ( sk3 = nil ) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_451,negated_conjecture,
( ( sk3 = nil )
| ( cons(sk9,nil) = sk3 ) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_836,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_394,c_336]) ).
tcf(c_2771,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssItem(X1)
| ~ ssItem(X0)
| ( X1 != sk6 )
| ( X0 != sk5 ) ),
inference(resolution_lifted,[status(thm)],[c_446,c_353]) ).
tcf(c_2772,plain,
( ( sk5 = sk6 )
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(unflattening,[status(thm)],[c_2771]) ).
tcf(c_2773,plain,
sk5 = sk6,
inference(global_subsumption_just,[status(thm)],[c_2772,c_442,c_441,c_2772]) ).
tcf(c_5019,plain,
app(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)),sk8) = sk3,
inference(light_normalisation,[status(thm)],[c_445,c_2773]) ).
tcf(c_9505,definition,
iPr_def_12 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_9506,definition,
iPr_def_13 = app(sk7,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_9507,definition,
iPr_def_14 = app(iPr_def_13,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_9508,definition,
iPr_def_15 = app(iPr_def_14,sk8),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_9509,definition,
iPr_def_16 = cons(sk9,nil),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_9510,plain,
iPr_def_15 = sk3,
inference(demodulation,[status(thm)],[c_5019,c_9505,c_9506,c_9507,c_9508]) ).
tcf(c_9513,negated_conjecture,
( ( iPr_def_16 = sk3 )
| ( sk3 = nil ) ),
inference(demodulation,[status(thm)],[c_451,c_9509]) ).
tcf(c_9516,negated_conjecture,
( ssItem(sk9)
| ( sk3 = nil ) ),
inference(demodulation,[status(thm)],[c_448]) ).
tcf(c_9518,negated_conjecture,
ssList(sk8),
inference(demodulation,[status(thm)],[c_444]) ).
tcf(c_9519,negated_conjecture,
ssList(sk7),
inference(demodulation,[status(thm)],[c_443]) ).
tcf(c_9520,negated_conjecture,
ssItem(sk5),
inference(demodulation,[status(thm)],[c_441]) ).
tcf(c_9521,negated_conjecture,
ssList(sk4),
inference(demodulation,[status(thm)],[c_440]) ).
tcf(c_9522,negated_conjecture,
ssList(sk3),
inference(demodulation,[status(thm)],[c_439]) ).
tcf(c_12087,plain,
ssList(iPr_def_15),
inference(light_normalisation,[status(thm)],[c_9522,c_9510]) ).
tcf(c_12088,plain,
( ssItem(sk9)
| ( nil = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_9516,c_9510]) ).
tcf(c_12106,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( nil = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_9513,c_9510]) ).
tcf(c_12414,plain,
( duplicatefreeP(iPr_def_16)
| ~ ssItem(sk9) ),
inference(superposition,[status(thm)],[c_9509,c_316]) ).
tcf(c_12550,plain,
( duplicatefreeP(iPr_def_16)
| ( nil = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12088,c_12414]) ).
tcf(c_12640,plain,
app(nil,sk4) = sk4,
inference(superposition,[status(thm)],[c_9521,c_325]) ).
tcf(c_12727,plain,
( ssList(iPr_def_13)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_9506,c_336]) ).
tcf(c_12728,plain,
( ssList(iPr_def_14)
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_9507,c_336]) ).
tcf(c_12745,plain,
( ssList(iPr_def_13)
| ~ ssList(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12727,c_9519]) ).
tcf(c_12748,plain,
( ssList(iPr_def_14)
| ~ ssList(iPr_def_12) ),
inference(backward_subsumption_resolution,[status(thm)],[c_12728,c_12745]) ).
tcf(c_12835,plain,
( ssList(iPr_def_12)
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9505,c_337]) ).
tcf(c_12844,plain,
ssList(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_12835,c_9520,c_259]) ).
tcf(c_12855,plain,
ssList(iPr_def_14),
inference(backward_subsumption_resolution,[status(thm)],[c_12748,c_12844]) ).
tcf(c_12856,plain,
ssList(iPr_def_13),
inference(backward_subsumption_resolution,[status(thm)],[c_12745,c_12844]) ).
tcf(c_12888,plain,
app(iPr_def_14,nil) = iPr_def_14,
inference(superposition,[status(thm)],[c_12855,c_324]) ).
tcf(c_13178,plain,
( memberP(iPr_def_12,sk5)
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9505,c_389]) ).
tcf(c_13185,plain,
memberP(iPr_def_12,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_13178,c_9520,c_259]) ).
tcf(c_13199,plain,
( rearsegP(iPr_def_15,sk8)
| ~ ssList(iPr_def_14)
| ~ ssList(sk8) ),
inference(superposition,[status(thm)],[c_9508,c_836]) ).
tcf(c_13240,plain,
rearsegP(iPr_def_15,sk8),
inference(forward_subsumption_resolution,[status(thm)],[c_13199,c_12855,c_9518]) ).
tcf(c_13491,plain,
! [X0: $i] :
( ( tl(cons(X0,sk4)) = sk4 )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_9521,c_347]) ).
tcf(c_13939,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ( nil != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9505,c_349]) ).
tcf(c_13946,plain,
nil != iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_13939,c_9520,c_259]) ).
tcf(c_14948,plain,
! [X0: $i] :
( ( app(cons(X0,nil),sk4) = cons(X0,sk4) )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_9521,c_371]) ).
tcf(c_15293,plain,
( ( nil = iPr_def_13 )
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_12)
| ( nil != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9507,c_369]) ).
tcf(c_15294,plain,
( ( nil = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(sk8)
| ( nil != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9508,c_369]) ).
tcf(c_15330,plain,
( ( nil = iPr_def_14 )
| ( nil != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15294,c_12855,c_9518]) ).
tcf(c_15333,plain,
( ( nil = iPr_def_13 )
| ( nil != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15293,c_12856,c_12844]) ).
tcf(c_15399,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ( nil != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9506,c_370]) ).
tcf(c_15400,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_12)
| ( nil != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9507,c_370]) ).
tcf(c_15440,plain,
nil != iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_15400,c_13946,c_12856,c_12844]) ).
tcf(c_15441,plain,
nil != iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_15399,c_13946,c_12844,c_9519]) ).
tcf(c_15496,plain,
nil != iPr_def_15,
inference(global_subsumption_just,[status(thm)],[c_15330,c_15333,c_15330,c_15441]) ).
tcf(c_15504,plain,
duplicatefreeP(iPr_def_16),
inference(backward_subsumption_resolution,[status(thm)],[c_12550,c_15496]) ).
tcf(c_15506,plain,
iPr_def_15 = iPr_def_16,
inference(backward_subsumption_resolution,[status(thm)],[c_12106,c_15496]) ).
tcf(c_15508,plain,
ssItem(sk9),
inference(backward_subsumption_resolution,[status(thm)],[c_12088,c_15496]) ).
tcf(c_15511,plain,
cons(sk9,nil) = iPr_def_15,
inference(demodulation,[status(thm)],[c_9509,c_15506]) ).
tcf(c_16706,plain,
( ( app(skaf46(iPr_def_15,sk8),sk8) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(sk8) ),
inference(superposition,[status(thm)],[c_13240,c_382]) ).
tcf(c_16738,plain,
app(skaf46(iPr_def_15,sk8),sk8) = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_16706,c_12087,c_9518]) ).
tcf(c_16810,plain,
duplicatefreeP(iPr_def_15),
inference(light_normalisation,[status(thm)],[c_15504,c_15506]) ).
tcf(c_17297,plain,
app(cons(sk9,nil),sk4) = cons(sk9,sk4),
inference(superposition,[status(thm)],[c_15508,c_14948]) ).
tcf(c_17303,plain,
tl(cons(sk9,sk4)) = sk4,
inference(superposition,[status(thm)],[c_15508,c_13491]) ).
tcf(c_17304,plain,
cons(sk9,sk4) = app(iPr_def_15,sk4),
inference(light_normalisation,[status(thm)],[c_17297,c_15511]) ).
tcf(c_17524,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(superposition,[status(thm)],[c_9506,c_392]) ).
tcf(c_17563,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17524,c_12844,c_9519]) ).
tcf(c_18065,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(tl(X0),sk4) = tl(app(X0,sk4)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9521,c_384]) ).
tcf(c_18067,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(tl(X0),sk8) = tl(app(X0,sk8)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9518,c_384]) ).
tcf(c_19517,plain,
( memberP(iPr_def_13,sk5)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_13185,c_17563]) ).
tcf(c_19518,plain,
memberP(iPr_def_13,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_19517,c_9520]) ).
tcf(c_20281,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(sk8)
| ~ ssList(X0)
| ( app(X0,sk8) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9508,c_402]) ).
tcf(c_20306,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssList(X0)
| ( app(X0,sk4) != sk4 ) ),
inference(superposition,[status(thm)],[c_12640,c_402]) ).
tcf(c_20340,plain,
! [X0: $i] :
( ( X0 = nil )
| ~ ssList(X0)
| ( app(X0,sk4) != sk4 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20306,c_259,c_9521]) ).
tcf(c_20364,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ ssList(X0)
| ( app(X0,sk8) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20281,c_12855,c_9518]) ).
tcf(c_22879,plain,
( ( app(skaf42(iPr_def_13,sk5),cons(sk5,skaf43(sk5,iPr_def_13))) = iPr_def_13 )
| ~ ssItem(sk5)
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_19518,c_420]) ).
tcf(c_22880,plain,
app(skaf42(iPr_def_13,sk5),cons(sk5,skaf43(sk5,iPr_def_13))) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_22879,c_9520,c_12856]) ).
tcf(c_25016,plain,
! [X0: $i] :
( ~ ssItem(sk5)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_13,sk5))
| ~ ssList(skaf43(sk5,iPr_def_13))
| ~ ssList(app(iPr_def_13,cons(sk5,X0)))
| ~ duplicatefreeP(app(app(skaf42(iPr_def_13,sk5),cons(sk5,skaf43(sk5,iPr_def_13))),cons(sk5,X0))) ),
inference(superposition,[status(thm)],[c_22880,c_430]) ).
tcf(c_25050,plain,
! [X0: $i] :
( ~ ssItem(sk5)
| ~ ssList(X0)
| ~ ssList(skaf42(iPr_def_13,sk5))
| ~ ssList(skaf43(sk5,iPr_def_13))
| ~ duplicatefreeP(app(iPr_def_13,cons(sk5,X0)))
| ~ ssList(app(iPr_def_13,cons(sk5,X0))) ),
inference(light_normalisation,[status(thm)],[c_25016,c_22880]) ).
tcf(c_25051,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ duplicatefreeP(app(iPr_def_13,cons(sk5,X0)))
| ~ ssList(app(iPr_def_13,cons(sk5,X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25050,c_9520,c_304,c_303]) ).
tcf(c_28413,plain,
( ( skaf46(iPr_def_15,sk8) = iPr_def_14 )
| ~ ssList(skaf46(iPr_def_15,sk8)) ),
inference(superposition,[status(thm)],[c_16738,c_20364]) ).
tcf(c_28414,plain,
skaf46(iPr_def_15,sk8) = iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_28413,c_301]) ).
tcf(c_28418,plain,
app(iPr_def_14,sk8) = iPr_def_15,
inference(demodulation,[status(thm)],[c_16738,c_28414]) ).
tcf(c_30821,plain,
( ( nil = iPr_def_15 )
| ( app(tl(iPr_def_15),sk4) = tl(app(iPr_def_15,sk4)) ) ),
inference(superposition,[status(thm)],[c_12087,c_18065]) ).
tcf(c_30829,plain,
( ( nil = iPr_def_15 )
| ( app(tl(iPr_def_15),sk4) = sk4 ) ),
inference(light_normalisation,[status(thm)],[c_30821,c_17303,c_17304]) ).
tcf(c_30830,plain,
app(tl(iPr_def_15),sk4) = sk4,
inference(forward_subsumption_resolution,[status(thm)],[c_30829,c_15496]) ).
tcf(c_31570,plain,
( ( nil = iPr_def_14 )
| ( app(tl(iPr_def_14),sk8) = tl(app(iPr_def_14,sk8)) ) ),
inference(superposition,[status(thm)],[c_12855,c_18067]) ).
tcf(c_31571,plain,
( ( nil = iPr_def_14 )
| ( app(tl(iPr_def_14),sk8) = tl(iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_31570,c_28418]) ).
tcf(c_31572,plain,
app(tl(iPr_def_14),sk8) = tl(iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_31571,c_15440]) ).
tcf(c_31972,plain,
( ~ ssList(nil)
| ~ ssList(app(iPr_def_13,iPr_def_12))
| ~ duplicatefreeP(app(iPr_def_13,cons(sk5,nil))) ),
inference(superposition,[status(thm)],[c_9505,c_25051]) ).
tcf(c_31973,plain,
( ~ duplicatefreeP(iPr_def_14)
| ~ ssList(iPr_def_14)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_31972,c_9505,c_9507]) ).
tcf(c_31974,plain,
~ duplicatefreeP(iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_31973,c_12855,c_259]) ).
tcf(c_39974,plain,
( ( tl(iPr_def_15) = nil )
| ~ ssList(tl(iPr_def_15)) ),
inference(superposition,[status(thm)],[c_30830,c_20340]) ).
tcf(c_55890,plain,
( ssList(tl(iPr_def_15))
| ~ ssList(sk8)
| ~ ssList(tl(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_31572,c_336]) ).
tcf(c_55894,plain,
( ( sk8 = nil )
| ~ ssList(sk8)
| ~ ssList(tl(iPr_def_14))
| ( tl(iPr_def_15) != nil ) ),
inference(superposition,[status(thm)],[c_31572,c_370]) ).
tcf(c_55905,plain,
( ssList(tl(iPr_def_15))
| ~ ssList(tl(iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55890,c_9518]) ).
tcf(c_55920,plain,
( ( sk8 = nil )
| ~ ssList(tl(iPr_def_14))
| ( tl(iPr_def_15) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_55894,c_9518]) ).
tcf(c_55994,plain,
( ssList(tl(iPr_def_15))
| ( nil = iPr_def_14 )
| ~ ssList(iPr_def_14) ),
inference(superposition,[status(thm)],[c_328,c_55905]) ).
tcf(c_55995,plain,
ssList(tl(iPr_def_15)),
inference(forward_subsumption_resolution,[status(thm)],[c_55994,c_15440,c_12855]) ).
tcf(c_56112,plain,
( ( sk8 = nil )
| ~ ssList(tl(iPr_def_14)) ),
inference(global_subsumption_just,[status(thm)],[c_55920,c_39974,c_55920,c_55995]) ).
tcf(c_56118,plain,
( ( nil = iPr_def_14 )
| ( sk8 = nil )
| ~ ssList(iPr_def_14) ),
inference(superposition,[status(thm)],[c_328,c_56112]) ).
tcf(c_56119,plain,
sk8 = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_56118,c_15440,c_12855]) ).
tcf(c_56328,plain,
app(iPr_def_14,nil) = iPr_def_15,
inference(demodulation,[status(thm)],[c_9508,c_56119]) ).
tcf(c_56330,plain,
iPr_def_14 = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_56328,c_12888]) ).
tcf(c_56371,plain,
duplicatefreeP(iPr_def_14),
inference(demodulation,[status(thm)],[c_16810,c_56330]) ).
tcf(c_56387,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_56371,c_31974]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC169-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.31/25.65 % CPULimit : 300
% 0.31/25.65 % WCLimit : 300
% 0.31/25.65 % DateTime : Thu Sep 24 16:46:37 UTC 2026
% 0.31/25.65 % CPUTime :
% 0.31/25.65 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.31/25.69 Running first-order theorem proving
% 0.31/25.69 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
% 0.35/25.70
% 0.35/25.70 % ======== iProver multi-core TPTP/SMT =========
% 0.35/25.70
% 0.35/25.70 % Detected problem language: tptp
% 0.35/25.71 % Proving...
% 22.40/29.52 % SZS status Started for theBenchmark.p
% 22.40/29.52 % SZS status Unsatisfiable for theBenchmark.p
% 22.40/29.52
% 22.40/29.52 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 22.40/29.52
% 22.40/29.52 % ------ iProver source info
% 22.40/29.52
% 22.40/29.52 % git: date: 2026-07-19 20:42:38 +0200
% 22.40/29.52 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 22.40/29.52 % git: non_committed_changes: false
% 22.40/29.52
% 22.40/29.52 % ------ Parsing...% successful
% 22.40/29.52
% 22.40/29.52
% 22.40/29.52 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 22.40/29.52
% 22.40/29.52 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 3 sf_s rm: 2 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 22.40/29.52
% 22.40/29.52 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 22.40/29.52
% 22.40/29.52 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 22.40/29.52 % ------ Proving...
% 22.40/29.52 % ------ Problem Properties
% 22.40/29.52
% 22.40/29.52 %
% 22.40/29.52 % clauses 195
% 22.40/29.52 % conjectures 11
% 22.40/29.52 % EPR 65
% 22.40/29.52 % Horn 161
% 22.40/29.52 % unary 70
% 22.40/29.52 % binary 27
% 22.40/29.52 % lits 565
% 22.40/29.52 % lits eq 84
% 22.40/29.52 % fd_pure 0
% 22.40/29.52 % fd_pseudo 0
% 22.40/29.52 % fd_cond 15
% 22.40/29.52 % fd_pseudo_cond 14
% 22.40/29.52 % AC symbols 0
% 22.40/29.52
% 22.40/29.52 % ------ Schedule dynamic 5 is on
% 22.40/29.52
% 22.40/29.52 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 22.40/29.52
% 22.40/29.52
% 22.40/29.52 % ------
% 22.40/29.52 % Current options:
% 22.40/29.52 % ------
% 22.40/29.52
% 22.40/29.52
% 22.40/29.52 %
% 22.40/29.52
% 22.40/29.52 % ------ Proving...
% 22.40/29.52 %
% 22.40/29.52
% 22.40/29.52 % SZS status Unsatisfiable for theBenchmark.p
% 22.40/29.52
% 22.40/29.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 22.40/29.53
% 22.40/29.53
%------------------------------------------------------------------------------