%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC002-1 : 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 : n004.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 03:07:27 PM UTC 2026
% Result : Unsatisfiable 2.94s 1.29s
% Output : CNFRefutation 2.94s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f288ERROR: Could not build tree for root c_9663ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
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(f224,negated_conjecture,
! [X2,X0,X1] :
( ~ neq(sk4,nil)
| ssItem(sk5(X2,X1,X0))
| app(X1,X2) != sk1
| app(app(X1,cons(X0,nil)),X2) != sk2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_19) ).
fof(f225,plain,
! [X2,X0,X1] :
( ~ neq(sk4,nil)
| ssItem(sk5(X2,X1,X0))
| app(X1,X2) != sk1
| sk2 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f224]) ).
fof(f226,negated_conjecture,
! [X2,X0,X1] :
( ~ neq(sk4,nil)
| memberP(sk2,sk5(X2,X1,X0))
| app(X1,X2) != sk1
| app(app(X1,cons(X0,nil)),X2) != sk2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_20) ).
fof(f227,plain,
! [X2,X0,X1] :
( ~ neq(sk4,nil)
| memberP(sk2,sk5(X2,X1,X0))
| app(X1,X2) != sk1
| sk2 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f226]) ).
fof(f228,negated_conjecture,
! [X2,X0,X1] :
( ~ neq(sk4,nil)
| geq(sk5(X2,X1,X0),X0)
| app(X1,X2) != sk1
| app(app(X1,cons(X0,nil)),X2) != sk2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_21) ).
fof(f229,plain,
! [X2,X0,X1] :
( ~ neq(sk4,nil)
| geq(sk5(X2,X1,X0),X0)
| app(X1,X2) != sk1
| sk2 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f228]) ).
fof(f230,negated_conjecture,
! [X2,X0,X1] :
( ~ neq(sk4,nil)
| X0 != sk5(X2,X1,X0)
| app(X1,X2) != sk1
| app(app(X1,cons(X0,nil)),X2) != sk2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_22) ).
fof(f231,plain,
! [X2,X0,X1] :
( ~ neq(sk4,nil)
| sk5(X2,X1,X0) != X0
| app(X1,X2) != sk1
| sk2 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f230]) ).
fof(f232,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_23) ).
fof(f233,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_24) ).
fof(f234,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_25) ).
fof(f235,negated_conjecture,
( ~ neq(sk4,nil)
| app(app(sk7,cons(sk6,nil)),sk8) = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_26) ).
fof(f236,plain,
( ~ neq(sk4,nil)
| sk4 = app(app(sk7,cons(sk6,nil)),sk8) ),
inference(reorient_equations,[],[f235]) ).
fof(f237,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk7,sk8) = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_27) ).
fof(f238,plain,
( ~ neq(sk4,nil)
| sk3 = app(sk7,sk8) ),
inference(reorient_equations,[],[f237]) ).
fof(f239,negated_conjecture,
! [X0] :
( ~ neq(sk4,nil)
| ~ geq(X0,sk6)
| ~ memberP(sk4,X0)
| sk6 = X0
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_28) ).
fof(f254,plain,
! [X2,X0,X1] :
( ~ neq(sk4,nil)
| ssItem(sk5(X2,X1,X0))
| app(X1,X2) != sk3
| sk4 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f225,f204,f205]) ).
fof(f255,plain,
! [X2,X0,X1] :
( ~ neq(sk4,nil)
| memberP(sk4,sk5(X2,X1,X0))
| app(X1,X2) != sk3
| sk4 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f227,f204,f205,f204]) ).
fof(f256,plain,
! [X2,X0,X1] :
( ~ neq(sk4,nil)
| geq(sk5(X2,X1,X0),X0)
| app(X1,X2) != sk3
| sk4 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f229,f204,f205]) ).
fof(f257,plain,
! [X2,X0,X1] :
( ~ neq(sk4,nil)
| sk5(X2,X1,X0) != X0
| app(X1,X2) != sk3
| sk4 != app(app(X1,cons(X0,nil)),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f231,f204,f205]) ).
tcf(c_451,negated_conjecture,
neq(sk4,nil),
inference(cnf_transformation,[],[f288]) ).
tcf(c_462,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssItem(sk5(X1,X0,X2))
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ neq(sk4,nil)
| ( app(X0,X1) != sk3 )
| ( app(app(X0,cons(X2,nil)),X1) != sk4 ) ),
inference(cnf_transformation,[],[f254]) ).
tcf(c_463,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( memberP(sk4,sk5(X1,X0,X2))
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ neq(sk4,nil)
| ( app(X0,X1) != sk3 )
| ( app(app(X0,cons(X2,nil)),X1) != sk4 ) ),
inference(cnf_transformation,[],[f255]) ).
tcf(c_464,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( geq(sk5(X1,X0,X2),X2)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ neq(sk4,nil)
| ( app(X0,X1) != sk3 )
| ( app(app(X0,cons(X2,nil)),X1) != sk4 ) ),
inference(cnf_transformation,[],[f256]) ).
tcf(c_465,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ neq(sk4,nil)
| ( app(X1,X0) != sk3 )
| ( sk5(X0,X1,X2) != X2 )
| ( app(app(X1,cons(X2,nil)),X0) != sk4 ) ),
inference(cnf_transformation,[],[f257]) ).
tcf(c_466,negated_conjecture,
( ssItem(sk6)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f232]) ).
tcf(c_467,negated_conjecture,
( ssList(sk7)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f233]) ).
tcf(c_468,negated_conjecture,
( ssList(sk8)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_469,negated_conjecture,
( ( app(app(sk7,cons(sk6,nil)),sk8) = sk4 )
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_470,negated_conjecture,
( ( app(sk7,sk8) = sk3 )
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f238]) ).
tcf(c_471,negated_conjecture,
! [X0: $i] :
( ( X0 = sk6 )
| ~ ssItem(X0)
| ~ neq(sk4,nil)
| ~ geq(X0,sk6)
| ~ memberP(sk4,X0) ),
inference(cnf_transformation,[],[f239]) ).
tcf(c_590,negated_conjecture,
ssList(sk8),
inference(global_subsumption_just,[status(thm)],[c_468,c_451,c_468]) ).
tcf(c_592,negated_conjecture,
ssList(sk7),
inference(global_subsumption_just,[status(thm)],[c_467,c_451,c_467]) ).
tcf(c_594,negated_conjecture,
ssItem(sk6),
inference(global_subsumption_just,[status(thm)],[c_466,c_451,c_466]) ).
tcf(c_606,negated_conjecture,
app(sk7,sk8) = sk3,
inference(global_subsumption_just,[status(thm)],[c_470,c_451,c_470]) ).
tcf(c_614,negated_conjecture,
app(app(sk7,cons(sk6,nil)),sk8) = sk4,
inference(global_subsumption_just,[status(thm)],[c_469,c_451,c_469]) ).
tcf(c_618,plain,
! [X0: $i] :
( ( X0 = sk6 )
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ geq(X0,sk6) ),
inference(global_subsumption_just,[status(thm)],[c_471,c_451,c_471]) ).
tcf(c_619,negated_conjecture,
! [X0: $i] :
( ( X0 = sk6 )
| ~ ssItem(X0)
| ~ geq(X0,sk6)
| ~ memberP(sk4,X0) ),
inference(renaming,[status(thm)],[c_618]) ).
tcf(c_623,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssItem(sk5(X1,X0,X2))
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(app(X0,cons(X2,nil)),X1) != sk4 )
| ( app(X0,X1) != sk3 ) ),
inference(global_subsumption_just,[status(thm)],[c_462,c_451,c_462]) ).
tcf(c_624,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssItem(sk5(X2,X0,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(X0,X2) != sk3 )
| ( app(app(X0,cons(X1,nil)),X2) != sk4 ) ),
inference(renaming,[status(thm)],[c_623]) ).
tcf(c_630,plain,
! [X0: $i,X1: $i,X2: $i] :
( geq(sk5(X1,X0,X2),X2)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(app(X0,cons(X2,nil)),X1) != sk4 )
| ( app(X0,X1) != sk3 ) ),
inference(global_subsumption_just,[status(thm)],[c_464,c_451,c_464]) ).
tcf(c_631,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( geq(sk5(X2,X0,X1),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(X0,X2) != sk3 )
| ( app(app(X0,cons(X1,nil)),X2) != sk4 ) ),
inference(renaming,[status(thm)],[c_630]) ).
tcf(c_633,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(sk4,sk5(X1,X0,X2))
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(app(X0,cons(X2,nil)),X1) != sk4 )
| ( app(X0,X1) != sk3 ) ),
inference(global_subsumption_just,[status(thm)],[c_463,c_451,c_463]) ).
tcf(c_634,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( memberP(sk4,sk5(X2,X0,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(X0,X2) != sk3 )
| ( app(app(X0,cons(X1,nil)),X2) != sk4 ) ),
inference(renaming,[status(thm)],[c_633]) ).
tcf(c_638,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(app(X1,cons(X2,nil)),X0) != sk4 )
| ( sk5(X0,X1,X2) != X2 )
| ( app(X1,X0) != sk3 ) ),
inference(global_subsumption_just,[status(thm)],[c_465,c_451,c_465]) ).
tcf(c_639,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(X0,X2) != sk3 )
| ( sk5(X2,X0,X1) != X1 )
| ( app(app(X0,cons(X1,nil)),X2) != sk4 ) ),
inference(renaming,[status(thm)],[c_638]) ).
tcf(c_6764,definition,
iPr_def_12 = cons(sk6,nil),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_6765,definition,
iPr_def_13 = app(sk7,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_6766,definition,
iPr_def_14 = app(iPr_def_13,sk8),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_6767,definition,
iPr_def_15 = app(sk7,sk8),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_6769,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(X0,X2) != sk3 )
| ( sk5(X2,X0,X1) != X1 )
| ( app(app(X0,cons(X1,nil)),X2) != sk4 ) ),
inference(demodulation,[status(thm)],[c_639]) ).
tcf(c_6770,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( memberP(sk4,sk5(X2,X0,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(X0,X2) != sk3 )
| ( app(app(X0,cons(X1,nil)),X2) != sk4 ) ),
inference(demodulation,[status(thm)],[c_634]) ).
tcf(c_6771,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( geq(sk5(X2,X0,X1),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(X0,X2) != sk3 )
| ( app(app(X0,cons(X1,nil)),X2) != sk4 ) ),
inference(demodulation,[status(thm)],[c_631]) ).
tcf(c_6772,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ssItem(sk5(X2,X0,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(X0,X2) != sk3 )
| ( app(app(X0,cons(X1,nil)),X2) != sk4 ) ),
inference(demodulation,[status(thm)],[c_624]) ).
tcf(c_6773,negated_conjecture,
! [X0: $i] :
( ( X0 = sk6 )
| ~ ssItem(X0)
| ~ geq(X0,sk6)
| ~ memberP(sk4,X0) ),
inference(demodulation,[status(thm)],[c_619]) ).
tcf(c_6774,negated_conjecture,
iPr_def_14 = sk4,
inference(demodulation,[status(thm)],[c_614,c_6764,c_6765,c_6766]) ).
tcf(c_6775,negated_conjecture,
iPr_def_15 = sk3,
inference(demodulation,[status(thm)],[c_606,c_6767]) ).
tcf(c_6776,negated_conjecture,
ssItem(sk6),
inference(demodulation,[status(thm)],[c_594]) ).
tcf(c_6777,negated_conjecture,
ssList(sk7),
inference(demodulation,[status(thm)],[c_592]) ).
tcf(c_6778,negated_conjecture,
ssList(sk8),
inference(demodulation,[status(thm)],[c_590]) ).
tcf(c_9428,plain,
! [X0: $i] :
( ( X0 = sk6 )
| ~ ssItem(X0)
| ~ geq(X0,sk6)
| ~ memberP(iPr_def_14,X0) ),
inference(light_normalisation,[status(thm)],[c_6773,c_6774]) ).
tcf(c_9433,plain,
! [X0: $i,X1: $i,X2: $i] :
( ssItem(sk5(X2,X0,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(X0,X2) != iPr_def_15 )
| ( app(app(X0,cons(X1,nil)),X2) != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_6772,c_6774,c_6775]) ).
tcf(c_9452,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(iPr_def_14,sk5(X2,X0,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(X0,X2) != iPr_def_15 )
| ( app(app(X0,cons(X1,nil)),X2) != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_6770,c_6774,c_6775]) ).
tcf(c_9471,plain,
! [X0: $i,X1: $i,X2: $i] :
( geq(sk5(X2,X0,X1),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(X0,X2) != iPr_def_15 )
| ( app(app(X0,cons(X1,nil)),X2) != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_6771,c_6774,c_6775]) ).
tcf(c_9490,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ( app(X0,X2) != iPr_def_15 )
| ( sk5(X2,X0,X1) != X1 )
| ( app(app(X0,cons(X1,nil)),X2) != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_6769,c_6774,c_6775]) ).
tcf(c_9514,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(sk6)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != iPr_def_15 )
| ( sk5(X1,X0,sk6) != sk6 )
| ( app(app(X0,iPr_def_12),X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6764,c_9490]) ).
tcf(c_9515,plain,
! [X0: $i,X1: $i] :
( geq(sk5(X1,X0,sk6),sk6)
| ~ ssItem(sk6)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != iPr_def_15 )
| ( app(app(X0,iPr_def_12),X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6764,c_9471]) ).
tcf(c_9516,plain,
! [X0: $i,X1: $i] :
( memberP(iPr_def_14,sk5(X1,X0,sk6))
| ~ ssItem(sk6)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != iPr_def_15 )
| ( app(app(X0,iPr_def_12),X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6764,c_9452]) ).
tcf(c_9517,plain,
! [X0: $i,X1: $i] :
( ssItem(sk5(X1,X0,sk6))
| ~ ssItem(sk6)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != iPr_def_15 )
| ( app(app(X0,iPr_def_12),X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6764,c_9433]) ).
tcf(c_9518,plain,
! [X0: $i,X1: $i] :
( ssItem(sk5(X1,X0,sk6))
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != iPr_def_15 )
| ( app(app(X0,iPr_def_12),X1) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9517,c_6776]) ).
tcf(c_9524,plain,
! [X0: $i,X1: $i] :
( memberP(iPr_def_14,sk5(X1,X0,sk6))
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != iPr_def_15 )
| ( app(app(X0,iPr_def_12),X1) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9516,c_6776]) ).
tcf(c_9530,plain,
! [X0: $i,X1: $i] :
( geq(sk5(X1,X0,sk6),sk6)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != iPr_def_15 )
| ( app(app(X0,iPr_def_12),X1) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9515,c_6776]) ).
tcf(c_9536,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != iPr_def_15 )
| ( sk5(X1,X0,sk6) != sk6 )
| ( app(app(X0,iPr_def_12),X1) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9514,c_6776]) ).
tcf(c_9586,plain,
! [X0: $i] :
( ~ ssList(sk7)
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_14 )
| ( app(sk7,X0) != iPr_def_15 )
| ( sk5(X0,sk7,sk6) != sk6 ) ),
inference(superposition,[status(thm)],[c_6765,c_9536]) ).
tcf(c_9587,plain,
! [X0: $i] :
( geq(sk5(X0,sk7,sk6),sk6)
| ~ ssList(sk7)
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_14 )
| ( app(sk7,X0) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_6765,c_9530]) ).
tcf(c_9588,plain,
! [X0: $i] :
( memberP(iPr_def_14,sk5(X0,sk7,sk6))
| ~ ssList(sk7)
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_14 )
| ( app(sk7,X0) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_6765,c_9524]) ).
tcf(c_9589,plain,
! [X0: $i] :
( ssItem(sk5(X0,sk7,sk6))
| ~ ssList(sk7)
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_14 )
| ( app(sk7,X0) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_6765,c_9518]) ).
tcf(c_9590,plain,
! [X0: $i] :
( ssItem(sk5(X0,sk7,sk6))
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_14 )
| ( app(sk7,X0) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9589,c_6777]) ).
tcf(c_9595,plain,
! [X0: $i] :
( memberP(iPr_def_14,sk5(X0,sk7,sk6))
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_14 )
| ( app(sk7,X0) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9588,c_6777]) ).
tcf(c_9600,plain,
! [X0: $i] :
( geq(sk5(X0,sk7,sk6),sk6)
| ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_14 )
| ( app(sk7,X0) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9587,c_6777]) ).
tcf(c_9605,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( app(iPr_def_13,X0) != iPr_def_14 )
| ( app(sk7,X0) != iPr_def_15 )
| ( sk5(X0,sk7,sk6) != sk6 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9586,c_6777]) ).
tcf(c_9646,plain,
( geq(sk5(sk8,sk7,sk6),sk6)
| ~ ssList(sk8)
| ( app(sk7,sk8) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_6766,c_9600]) ).
tcf(c_9647,plain,
( memberP(iPr_def_14,sk5(sk8,sk7,sk6))
| ~ ssList(sk8)
| ( app(sk7,sk8) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_6766,c_9595]) ).
tcf(c_9648,plain,
( ssItem(sk5(sk8,sk7,sk6))
| ~ ssList(sk8)
| ( app(sk7,sk8) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_6766,c_9590]) ).
tcf(c_9649,plain,
( ssItem(sk5(sk8,sk7,sk6))
| ~ ssList(sk8) ),
inference(ground_joinability,[status(thm)],[c_9648,c_6767]) ).
tcf(c_9650,plain,
ssItem(sk5(sk8,sk7,sk6)),
inference(forward_subsumption_resolution,[status(thm)],[c_9649,c_6778]) ).
tcf(c_9651,plain,
( memberP(iPr_def_14,sk5(sk8,sk7,sk6))
| ~ ssList(sk8) ),
inference(ground_joinability,[status(thm)],[c_9647,c_6767]) ).
tcf(c_9652,plain,
memberP(iPr_def_14,sk5(sk8,sk7,sk6)),
inference(forward_subsumption_resolution,[status(thm)],[c_9651,c_6778]) ).
tcf(c_9653,plain,
( geq(sk5(sk8,sk7,sk6),sk6)
| ~ ssList(sk8) ),
inference(ground_joinability,[status(thm)],[c_9646,c_6767]) ).
tcf(c_9654,plain,
geq(sk5(sk8,sk7,sk6),sk6),
inference(forward_subsumption_resolution,[status(thm)],[c_9653,c_6778]) ).
tcf(c_9655,plain,
( ( sk5(sk8,sk7,sk6) = sk6 )
| ~ ssItem(sk5(sk8,sk7,sk6))
| ~ memberP(iPr_def_14,sk5(sk8,sk7,sk6)) ),
inference(superposition,[status(thm)],[c_9654,c_9428]) ).
tcf(c_9656,plain,
sk5(sk8,sk7,sk6) = sk6,
inference(forward_subsumption_resolution,[status(thm)],[c_9655,c_9650,c_9652]) ).
tcf(c_9661,plain,
( ~ ssList(sk8)
| ( app(iPr_def_13,sk8) != iPr_def_14 )
| ( app(sk7,sk8) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9656,c_9605]) ).
tcf(c_9662,plain,
~ ssList(sk8),
inference(ground_joinability,[status(thm)],[c_9661,c_6766,c_6767]) ).
tcf(c_9663,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9662,c_6778]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC002-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n004.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 15:51:23 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 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
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 2.94/1.29 % SZS status Started for theBenchmark.p
% 2.94/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.94/1.29
% 2.94/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.94/1.29
% 2.94/1.29 % ------ iProver source info
% 2.94/1.29
% 2.94/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 2.94/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.94/1.29 % git: non_committed_changes: false
% 2.94/1.29
% 2.94/1.29 % ------ Parsing...% successful
% 2.94/1.29
% 2.94/1.29
% 2.94/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.94/1.29
% 2.94/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 2.94/1.29
% 2.94/1.29 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.94/1.29
% 2.94/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.94/1.29 % ------ Proving...
% 2.94/1.29 % ------ Problem Properties
% 2.94/1.29
% 2.94/1.29 %
% 2.94/1.29 % clauses 194
% 2.94/1.29 % conjectures 12
% 2.94/1.29 % EPR 61
% 2.94/1.29 % Horn 166
% 2.94/1.29 % unary 70
% 2.94/1.29 % binary 21
% 2.94/1.29 % lits 581
% 2.94/1.29 % lits eq 86
% 2.94/1.29 % fd_pure 0
% 2.94/1.29 % fd_pseudo 0
% 2.94/1.29 % fd_cond 16
% 2.94/1.29 % fd_pseudo_cond 14
% 2.94/1.29 % AC symbols 0
% 2.94/1.29
% 2.94/1.29 % ------ Schedule dynamic 5 is on
% 2.94/1.29
% 2.94/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.94/1.29
% 2.94/1.29
% 2.94/1.29 % ------
% 2.94/1.29 % Current options:
% 2.94/1.29 % ------
% 2.94/1.29
% 2.94/1.29
% 2.94/1.29 %
% 2.94/1.29
% 2.94/1.29 % ------ Proving...
% 2.94/1.29 %
% 2.94/1.29
% 2.94/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.94/1.29
% 2.94/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.94/1.29
% 2.94/1.29
%------------------------------------------------------------------------------