%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC397-1 : 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 : n009.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 03:09:37 PM UTC 2026
% Result : Unsatisfiable 8.03s 1.72s
% Output : CNFRefutation 8.03s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f229ERROR: Could not build tree for root c_9554ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause71) ).
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(f101,axiom,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/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(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(f151,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause140) ).
fof(f152,axiom,
! [X2,X0,X1] :
( memberP(app(X2,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause141) ).
fof(f169,axiom,
! [X2,X0,X1] :
( cons(X0,app(X1,X2)) = app(cons(X0,X1),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause157) ).
fof(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/sandbox2/benchmark/Axioms/SWC001-0.ax',clause158) ).
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(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(f204,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
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,
memberP(sk1,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
~ memberP(sk2,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f212,negated_conjecture,
( ~ neq(sk4,nil)
| app(cons(sk6,nil),sk7) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f213,plain,
( ~ neq(sk4,nil)
| sk3 = app(cons(sk6,nil),sk7) ),
inference(reorient_equations,[],[f212]) ).
fof(f214,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk7,cons(sk6,nil)) = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f215,plain,
( ~ neq(sk4,nil)
| sk4 = app(sk7,cons(sk6,nil)) ),
inference(reorient_equations,[],[f214]) ).
fof(f218,plain,
memberP(sk3,sk5),
inference(definition_unfolding,[],[f207,f205]) ).
fof(f219,plain,
~ memberP(sk4,sk5),
inference(definition_unfolding,[],[f208,f204]) ).
tcf(c_250,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_251,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_252,negated_conjecture,
ssItem(sk5),
inference(cnf_transformation,[],[f206]) ).
tcf(c_253,negated_conjecture,
memberP(sk3,sk5),
inference(cnf_transformation,[],[f218]) ).
tcf(c_254,negated_conjecture,
~ memberP(sk4,sk5),
inference(cnf_transformation,[],[f219]) ).
tcf(c_255,negated_conjecture,
( ( sk3 = nil )
| ( sk4 != nil ) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_256,negated_conjecture,
( ssItem(sk6)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f210]) ).
tcf(c_257,negated_conjecture,
( ssList(sk7)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f211]) ).
tcf(c_258,negated_conjecture,
( ( app(cons(sk6,nil),sk7) = sk3 )
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f213]) ).
tcf(c_259,negated_conjecture,
( ( app(sk7,cons(sk6,nil)) = sk4 )
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_261,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_262,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_263,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_264,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_267,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_269,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X1,nil),X0) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_275,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_277,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(cnf_transformation,[],[f229]) ).
tcf(c_279,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_282,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) )
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_284,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_288,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_289,plain,
( ~ ssList(nil)
| ~ neq(nil,nil) ),
inference(instantiation,[status(thm)],[c_277]) ).
tcf(c_297,plain,
( neq(nil,nil)
| ( nil = nil )
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_279]) ).
tcf(c_809,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( app(sk7,cons(sk6,nil)) = sk4 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_259,c_279]) ).
tcf(c_810,plain,
( ( sk4 = nil )
| ( app(sk7,cons(sk6,nil)) = sk4 )
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(unflattening,[status(thm)],[c_809]) ).
tcf(c_811,plain,
( ( sk4 = nil )
| ( app(sk7,cons(sk6,nil)) = sk4 ) ),
inference(global_subsumption_just,[status(thm)],[c_810,c_251,c_275,c_810]) ).
tcf(c_833,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ( app(cons(sk6,nil),sk7) = sk3 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_258,c_279]) ).
tcf(c_834,plain,
( ( sk4 = nil )
| ( app(cons(sk6,nil),sk7) = sk3 )
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(unflattening,[status(thm)],[c_833]) ).
tcf(c_835,plain,
( ( sk4 = nil )
| ( app(cons(sk6,nil),sk7) = sk3 ) ),
inference(global_subsumption_just,[status(thm)],[c_834,c_251,c_275,c_834]) ).
tcf(c_857,plain,
! [X0: $i,X1: $i] :
( ssList(sk7)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_257,c_279]) ).
tcf(c_858,plain,
( ssList(sk7)
| ( sk4 = nil )
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(unflattening,[status(thm)],[c_857]) ).
tcf(c_859,plain,
( ssList(sk7)
| ( sk4 = nil ) ),
inference(global_subsumption_just,[status(thm)],[c_858,c_251,c_275,c_858]) ).
tcf(c_881,plain,
! [X0: $i,X1: $i] :
( ssItem(sk6)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_256,c_279]) ).
tcf(c_882,plain,
( ssItem(sk6)
| ( sk4 = nil )
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(unflattening,[status(thm)],[c_881]) ).
tcf(c_883,plain,
( ssItem(sk6)
| ( sk4 = nil ) ),
inference(global_subsumption_just,[status(thm)],[c_882,c_251,c_275,c_882]) ).
tcf(c_1343,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_1345,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_1348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( memberP(X0,X2)
| ~ memberP(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_2031,plain,
! [X0: $i] :
( ( app(cons(X0,nil),sk4) = cons(X0,sk4) )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_251,c_269]) ).
tcf(c_2164,plain,
app(cons(sk5,nil),sk4) = cons(sk5,sk4),
inference(superposition,[status(thm)],[c_252,c_2031]) ).
tcf(c_2168,plain,
( ssList(cons(sk5,sk4))
| ~ ssList(sk4)
| ~ ssList(cons(sk5,nil)) ),
inference(superposition,[status(thm)],[c_2164,c_288]) ).
tcf(c_2171,plain,
( ssList(cons(sk5,sk4))
| ~ ssList(cons(sk5,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2168,c_251]) ).
tcf(c_2182,plain,
( ~ ssItem(sk5)
| ~ memberP(nil,sk5) ),
inference(instantiation,[status(thm)],[c_267]) ).
tcf(c_2189,plain,
( ssList(cons(sk5,sk4))
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_284,c_2171]) ).
tcf(c_2190,plain,
ssList(cons(sk5,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_2189,c_252,c_275]) ).
tcf(c_2191,plain,
! [X0: $i] :
( ssList(cons(sk5,X0))
| ~ ssItem(sk5)
| ~ ssList(X0) ),
inference(instantiation,[status(thm)],[c_284]) ).
tcf(c_2192,plain,
( ssList(cons(sk5,nil))
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_2191]) ).
tcf(c_2225,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ( sk4 = nil )
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ ssList(cons(sk6,nil))
| ~ memberP(cons(sk6,nil),X0) ),
inference(superposition,[status(thm)],[c_811,c_263]) ).
tcf(c_2237,plain,
! [X0: $i] :
( memberP(cons(sk5,sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(cons(sk5,nil)) ),
inference(superposition,[status(thm)],[c_2164,c_263]) ).
tcf(c_2238,plain,
! [X0: $i] :
( memberP(cons(sk5,sk4),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(cons(sk5,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2237,c_251]) ).
tcf(c_2278,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ( sk4 = nil )
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk7,X0)
| ~ ssList(cons(sk6,nil)) ),
inference(superposition,[status(thm)],[c_811,c_264]) ).
tcf(c_2346,plain,
! [X0: $i] :
( memberP(sk7,X0)
| memberP(cons(sk6,nil),X0)
| ( sk4 = nil )
| ~ ssList(sk7)
| ~ ssItem(X0)
| ~ memberP(sk3,X0)
| ~ ssList(cons(sk6,nil)) ),
inference(superposition,[status(thm)],[c_835,c_262]) ).
tcf(c_2390,plain,
! [X0: $i,X1: $i] :
( memberP(X0,X1)
| ~ memberP(sk3,sk5)
| ( X1 != sk5 )
| ( X0 != sk3 ) ),
inference(instantiation,[status(thm)],[c_1348]) ).
tcf(c_2491,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(X0,sk3)) = app(cons(X1,X0),sk3) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_250,c_282]) ).
tcf(c_2852,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk3 )
| ( sk3 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_1345]) ).
tcf(c_2853,plain,
( ( nil = sk3 )
| ( nil != nil )
| ( sk3 != nil ) ),
inference(instantiation,[status(thm)],[c_2852]) ).
tcf(c_3080,plain,
! [X0: $i] :
( ( cons(X0,app(sk4,sk3)) = app(cons(X0,sk4),sk3) )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_251,c_2491]) ).
tcf(c_3366,plain,
! [X0: $i] :
( memberP(X0,sk5)
| ~ memberP(sk3,sk5)
| ( sk5 != sk5 )
| ( X0 != sk3 ) ),
inference(instantiation,[status(thm)],[c_2390]) ).
tcf(c_3367,plain,
sk5 = sk5,
inference(instantiation,[status(thm)],[c_1343]) ).
tcf(c_3368,plain,
( memberP(nil,sk5)
| ~ memberP(sk3,sk5)
| ( nil != sk3 )
| ( sk5 != sk5 ) ),
inference(instantiation,[status(thm)],[c_3366]) ).
tcf(c_3960,plain,
cons(sk5,app(sk4,sk3)) = app(cons(sk5,sk4),sk3),
inference(superposition,[status(thm)],[c_252,c_3080]) ).
tcf(c_3967,plain,
! [X0: $i] :
( memberP(sk3,X0)
| memberP(cons(sk5,sk4),X0)
| ~ ssList(sk3)
| ~ ssItem(X0)
| ~ ssList(cons(sk5,sk4))
| ~ memberP(cons(sk5,app(sk4,sk3)),X0) ),
inference(superposition,[status(thm)],[c_3960,c_262]) ).
tcf(c_3970,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk4,sk3)),X0)
| ~ ssList(sk3)
| ~ ssItem(X0)
| ~ memberP(sk3,X0)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_3960,c_263]) ).
tcf(c_3980,plain,
! [X0: $i] :
( memberP(cons(sk5,app(sk4,sk3)),X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3970,c_250,c_2190]) ).
tcf(c_3989,plain,
! [X0: $i] :
( memberP(sk3,X0)
| memberP(cons(sk5,sk4),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk5,app(sk4,sk3)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3967,c_250,c_2190]) ).
tcf(c_4591,plain,
! [X0: $i] :
( ssList(cons(sk6,X0))
| ~ ssItem(sk6)
| ~ ssList(X0) ),
inference(instantiation,[status(thm)],[c_284]) ).
tcf(c_4592,plain,
( ssList(cons(sk6,nil))
| ~ ssItem(sk6)
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_4591]) ).
tcf(c_9088,plain,
! [X0: $i] :
( ~ memberP(cons(sk5,app(sk4,sk3)),X0)
| ~ ssItem(X0)
| memberP(cons(sk5,sk4),X0) ),
inference(global_subsumption_just,[status(thm)],[c_3989,c_252,c_275,c_253,c_289,c_255,c_297,c_859,c_883,c_2182,c_2192,c_2238,c_2225,c_2278,c_2346,c_2853,c_3368,c_3367,c_3989,c_4592]) ).
tcf(c_9089,plain,
! [X0: $i] :
( memberP(cons(sk5,sk4),X0)
| ~ ssItem(X0)
| ~ memberP(cons(sk5,app(sk4,sk3)),X0) ),
inference(renaming,[status(thm)],[c_9088]) ).
tcf(c_9100,plain,
! [X0: $i] :
( memberP(cons(sk5,sk4),X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(superposition,[status(thm)],[c_3980,c_9089]) ).
tcf(c_9512,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ( X0 = sk5 )
| ~ ssItem(sk5)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(superposition,[status(thm)],[c_9100,c_261]) ).
tcf(c_9513,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ( X0 = sk5 )
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9512,c_252,c_251]) ).
tcf(c_9544,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ memberP(sk3,X0)
| ~ ssItem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_9513,c_252,c_275,c_253,c_289,c_255,c_297,c_859,c_883,c_2182,c_2225,c_2278,c_2346,c_2853,c_3368,c_3367,c_4592]) ).
tcf(c_9545,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(renaming,[status(thm)],[c_9544]) ).
tcf(c_9553,plain,
( memberP(sk4,sk5)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_253,c_9545]) ).
tcf(c_9554,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9553,c_254,c_252]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC397-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n009.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 18:02:30 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 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
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 8.03/1.72 % SZS status Started for theBenchmark.p
% 8.03/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 8.03/1.72
% 8.03/1.72 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.03/1.72
% 8.03/1.72 % ------ iProver source info
% 8.03/1.72
% 8.03/1.72 % git: date: 2026-07-19 20:42:38 +0200
% 8.03/1.72 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.03/1.72 % git: non_committed_changes: false
% 8.03/1.72
% 8.03/1.72 % ------ Parsing...% successful
% 8.03/1.72
% 8.03/1.72
% 8.03/1.72 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.03/1.72
% 8.03/1.72 % ------ 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 %
% 8.03/1.72
% 8.03/1.72 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.03/1.72
% 8.03/1.72 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.03/1.72 % ------ Proving...
% 8.03/1.72 % ------ Problem Properties
% 8.03/1.72
% 8.03/1.72 %
% 8.03/1.72 % clauses 35
% 8.03/1.72 % conjectures 6
% 8.03/1.72 % EPR 10
% 8.03/1.72 % Horn 29
% 8.03/1.72 % unary 7
% 8.03/1.72 % binary 8
% 8.03/1.72 % lits 111
% 8.03/1.72 % lits eq 29
% 8.03/1.72 % fd_pure 0
% 8.03/1.72 % fd_pseudo 0
% 8.03/1.72 % fd_cond 2
% 8.03/1.72 % fd_pseudo_cond 5
% 8.03/1.72 % AC symbols 0
% 8.03/1.72
% 8.03/1.72 % ------ Schedule dynamic 5 is on
% 8.03/1.72
% 8.03/1.72 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.03/1.72
% 8.03/1.72
% 8.03/1.72 % ------
% 8.03/1.72 % Current options:
% 8.03/1.72 % ------
% 8.03/1.72
% 8.03/1.72
% 8.03/1.72 %
% 8.03/1.72
% 8.03/1.72 % ------ Proving...
% 8.03/1.72 %
% 8.03/1.72
% 8.03/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 8.03/1.72
% 8.03/1.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.03/1.72
% 8.03/1.72
%------------------------------------------------------------------------------