%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC395-1 : 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 : n019.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 03:09:36 PM UTC 2026
% Result : Unsatisfiable 44.22s 12.03s
% Output : CNFRefutation 44.22s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f231ERROR: Could not build tree for root c_56322ERROR: 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(f75,axiom,
! [X0] :
( nil = X0
| ssList(tl(X0))
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause75) ).
fof(f76,axiom,
! [X0] :
( nil = X0
| ssItem(hd(X0))
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause76) ).
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(f96,axiom,
! [X0,X1] :
( tl(cons(X0,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause96) ).
fof(f97,axiom,
! [X0,X1] :
( hd(cons(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause97) ).
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(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(f107,axiom,
! [X0] :
( nil = X0
| cons(hd(X0),tl(X0)) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause104) ).
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(f144,axiom,
! [X0,X1] :
( tl(app(X1,X0)) = app(tl(X1),X0)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause133) ).
fof(f150,axiom,
! [X2,X0,X1] :
( memberP(cons(X2,X0),X1)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause139) ).
fof(f151,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1) ),
file('/export/starexec/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(f161,axiom,
! [X2,X0,X1] :
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause149) ).
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(f213,plain,
memberP(sk3,sk5),
inference(definition_unfolding,[],[f207,f205]) ).
fof(f214,plain,
~ memberP(sk4,sk5),
inference(definition_unfolding,[],[f208,f204]) ).
tcf(c_247,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_248,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_249,negated_conjecture,
ssItem(sk5),
inference(cnf_transformation,[],[f206]) ).
tcf(c_250,negated_conjecture,
memberP(sk3,sk5),
inference(cnf_transformation,[],[f213]) ).
tcf(c_251,negated_conjecture,
~ memberP(sk4,sk5),
inference(cnf_transformation,[],[f214]) ).
tcf(c_252,negated_conjecture,
( ( sk3 = nil )
| ( sk4 != nil ) ),
inference(cnf_transformation,[],[f209]) ).
tcf(c_253,negated_conjecture,
( ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ~ ssList(app(tl(sk4),cons(hd(sk4),nil))) ),
inference(cnf_transformation,[],[f230]) ).
tcf(c_255,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_256,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_257,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_258,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_259,plain,
! [X0: $i,X1: $i,X2: $i] :
( memberP(cons(X2,X0),X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_260,plain,
! [X0: $i,X1: $i] :
( memberP(cons(X1,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f231]) ).
tcf(c_261,plain,
! [X0: $i] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_263,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X1,nil),X0) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_264,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_265,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_266,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_269,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_271,plain,
! [X0: $i] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(cnf_transformation,[],[f234]) ).
tcf(c_273,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_276,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(cons(X2,X1),X0) = cons(X2,app(X1,X0)) )
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_278,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_281,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X0,X2),X1) = app(X0,app(X2,X1)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_282,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_284,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ( tl(app(X1,X0)) = app(tl(X1),X0) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f144]) ).
tcf(c_285,plain,
! [X0: $i] :
( ( X0 = nil )
| ( cons(hd(X0),tl(X0)) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_286,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(X1,X0)) = X0 )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_288,plain,
! [X0: $i] :
( ssList(tl(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_294,plain,
! [X0: $i,X1: $i] :
( ( hd(cons(X1,X0)) = X1 )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_296,plain,
! [X0: $i] :
( ssItem(hd(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_322,plain,
( ~ ssList(nil)
| ~ neq(nil,nil) ),
inference(instantiation,[status(thm)],[c_271]) ).
tcf(c_334,plain,
( neq(nil,nil)
| ( nil = nil )
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_273]) ).
tcf(c_430,plain,
( ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ ssList(cons(hd(sk4),nil)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_253,c_282]) ).
tcf(c_2311,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_2313,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_2316,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( memberP(X0,X2)
| ~ memberP(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_3538,plain,
( ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ ssList(nil)
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_278,c_430]) ).
tcf(c_3545,plain,
( ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3538,c_269]) ).
tcf(c_3766,plain,
! [X0: $i] :
( ( tl(cons(X0,sk4)) = sk4 )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_248,c_286]) ).
tcf(c_3800,plain,
! [X0: $i] :
( ( hd(cons(X0,sk3)) = X0 )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_247,c_294]) ).
tcf(c_3859,plain,
tl(cons(sk5,sk4)) = sk4,
inference(superposition,[status(thm)],[c_249,c_3766]) ).
tcf(c_3870,plain,
! [X0: $i] :
( ( X0 = nil )
| ( hd(cons(hd(X0),sk3)) = hd(X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_296,c_3800]) ).
tcf(c_3971,plain,
( ( sk4 = nil )
| ( cons(hd(sk4),tl(sk4)) = sk4 ) ),
inference(superposition,[status(thm)],[c_248,c_285]) ).
tcf(c_4000,plain,
! [X0: $i] :
( ( app(cons(X0,nil),sk4) = cons(X0,sk4) )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_248,c_263]) ).
tcf(c_4025,plain,
( ~ ssItem(sk5)
| ~ memberP(nil,sk5) ),
inference(instantiation,[status(thm)],[c_261]) ).
tcf(c_4109,plain,
( memberP(sk4,hd(sk4))
| ( sk4 = nil )
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_3971,c_260]) ).
tcf(c_4121,plain,
! [X0: $i] :
( ~ ssItem(sk5)
| ~ ssList(X0)
| ( cons(sk5,X0) != nil ) ),
inference(instantiation,[status(thm)],[c_266]) ).
tcf(c_4122,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ( cons(sk5,nil) != nil ) ),
inference(instantiation,[status(thm)],[c_4121]) ).
tcf(c_4132,plain,
! [X0: $i] :
( ssList(cons(sk5,X0))
| ~ ssItem(sk5)
| ~ ssList(X0) ),
inference(instantiation,[status(thm)],[c_278]) ).
tcf(c_4133,plain,
( ssList(cons(sk5,nil))
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(instantiation,[status(thm)],[c_4132]) ).
tcf(c_4190,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_273,c_3545]) ).
tcf(c_4199,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4190,c_269,c_248]) ).
tcf(c_4349,plain,
! [X0: $i,X1: $i] :
( memberP(X0,X1)
| ~ memberP(sk3,sk5)
| ( X1 != sk5 )
| ( X0 != sk3 ) ),
inference(instantiation,[status(thm)],[c_2316]) ).
tcf(c_4373,plain,
app(cons(sk5,nil),sk4) = cons(sk5,sk4),
inference(superposition,[status(thm)],[c_249,c_4000]) ).
tcf(c_4379,plain,
( ( cons(sk5,nil) = nil )
| ~ ssList(sk4)
| ~ ssList(cons(sk5,nil))
| ( cons(sk5,sk4) != nil ) ),
inference(superposition,[status(thm)],[c_4373,c_265]) ).
tcf(c_4380,plain,
( ( sk4 = nil )
| ~ ssList(sk4)
| ~ ssList(cons(sk5,nil))
| ( cons(sk5,sk4) != nil ) ),
inference(superposition,[status(thm)],[c_4373,c_264]) ).
tcf(c_4381,plain,
( ssList(cons(sk5,sk4))
| ~ ssList(sk4)
| ~ ssList(cons(sk5,nil)) ),
inference(superposition,[status(thm)],[c_4373,c_282]) ).
tcf(c_4383,plain,
( ssList(cons(sk5,sk4))
| ~ ssList(cons(sk5,nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4381,c_248]) ).
tcf(c_4386,plain,
( ( sk4 = nil )
| ~ ssList(cons(sk5,nil))
| ( cons(sk5,sk4) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4380,c_248]) ).
tcf(c_4395,plain,
( ( cons(sk5,nil) = nil )
| ~ ssList(cons(sk5,nil))
| ( cons(sk5,sk4) != nil ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4379,c_248]) ).
tcf(c_4404,plain,
ssList(cons(sk5,sk4)),
inference(global_subsumption_just,[status(thm)],[c_4383,c_249,c_269,c_4133,c_4383]) ).
tcf(c_4486,plain,
cons(sk5,sk4) != nil,
inference(global_subsumption_just,[status(thm)],[c_4386,c_249,c_269,c_4122,c_4133,c_4395]) ).
tcf(c_4894,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(app(X0,sk3)) = app(tl(X0),sk3) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_247,c_284]) ).
tcf(c_4895,plain,
! [X0: $i] :
( ( X0 = nil )
| ( tl(app(X0,sk4)) = app(tl(X0),sk4) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_248,c_284]) ).
tcf(c_5002,plain,
( ( cons(sk5,sk4) = nil )
| ( tl(app(cons(sk5,sk4),sk3)) = app(tl(cons(sk5,sk4)),sk3) ) ),
inference(superposition,[status(thm)],[c_4404,c_4894]) ).
tcf(c_5007,plain,
( ( cons(sk5,sk4) = nil )
| ( tl(app(cons(sk5,sk4),sk3)) = app(sk4,sk3) ) ),
inference(light_normalisation,[status(thm)],[c_5002,c_3859]) ).
tcf(c_5008,plain,
tl(app(cons(sk5,sk4),sk3)) = app(sk4,sk3),
inference(forward_subsumption_resolution,[status(thm)],[c_5007,c_4486]) ).
tcf(c_5055,plain,
( ( cons(sk5,sk4) = nil )
| ( tl(app(cons(sk5,sk4),sk4)) = app(tl(cons(sk5,sk4)),sk4) ) ),
inference(superposition,[status(thm)],[c_4404,c_4895]) ).
tcf(c_5060,plain,
( ( cons(sk5,sk4) = nil )
| ( tl(app(cons(sk5,sk4),sk4)) = app(sk4,sk4) ) ),
inference(light_normalisation,[status(thm)],[c_5055,c_3859]) ).
tcf(c_5061,plain,
tl(app(cons(sk5,sk4),sk4)) = app(sk4,sk4),
inference(forward_subsumption_resolution,[status(thm)],[c_5060,c_4486]) ).
tcf(c_5213,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk3 )
| ( sk3 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_2313]) ).
tcf(c_5214,plain,
( ( nil = sk3 )
| ( nil != nil )
| ( sk3 != nil ) ),
inference(instantiation,[status(thm)],[c_5213]) ).
tcf(c_5226,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X1,X0),sk3) = cons(X1,app(X0,sk3)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_247,c_276]) ).
tcf(c_5227,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X1,X0),sk4) = cons(X1,app(X0,sk4)) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_248,c_276]) ).
tcf(c_5289,plain,
! [X0: $i] :
( ( app(cons(X0,sk4),sk3) = cons(X0,app(sk4,sk3)) )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_248,c_5226]) ).
tcf(c_5325,plain,
( ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ neq(nil,sk4)
| ~ neq(sk4,nil)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(global_subsumption_just,[status(thm)],[c_430,c_3545]) ).
tcf(c_5579,plain,
app(cons(sk5,sk4),sk3) = cons(sk5,app(sk4,sk3)),
inference(superposition,[status(thm)],[c_249,c_5289]) ).
tcf(c_5584,plain,
tl(cons(sk5,app(sk4,sk3))) = app(sk4,sk3),
inference(demodulation,[status(thm)],[c_5008,c_5579]) ).
tcf(c_5587,plain,
( ( cons(sk5,sk4) = nil )
| ~ ssList(sk3)
| ~ ssList(cons(sk5,sk4))
| ( cons(sk5,app(sk4,sk3)) != nil ) ),
inference(superposition,[status(thm)],[c_5579,c_265]) ).
tcf(c_5589,plain,
( ssList(cons(sk5,app(sk4,sk3)))
| ~ ssList(sk3)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_5579,c_282]) ).
tcf(c_5592,plain,
ssList(cons(sk5,app(sk4,sk3))),
inference(forward_subsumption_resolution,[status(thm)],[c_5589,c_247,c_4404]) ).
tcf(c_5600,plain,
cons(sk5,app(sk4,sk3)) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_5587,c_4486,c_247,c_4404]) ).
tcf(c_5624,plain,
! [X0: $i,X1: $i] :
( ( app(app(sk4,X1),X0) = app(sk4,app(X1,X0)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_248,c_281]) ).
tcf(c_5967,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_273,c_5325]) ).
tcf(c_5970,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5967,c_269,c_248]) ).
tcf(c_6043,plain,
! [X0: $i] :
( memberP(X0,sk5)
| ~ memberP(sk3,sk5)
| ( sk5 != sk5 )
| ( X0 != sk3 ) ),
inference(instantiation,[status(thm)],[c_4349]) ).
tcf(c_6044,plain,
sk5 = sk5,
inference(instantiation,[status(thm)],[c_2311]) ).
tcf(c_6045,plain,
( memberP(nil,sk5)
| ~ memberP(sk3,sk5)
| ( nil != sk3 )
| ( sk5 != sk5 ) ),
inference(instantiation,[status(thm)],[c_6043]) ).
tcf(c_6358,plain,
( ~ ssList(tl(sk4))
| ~ ssItem(hd(sk4))
| ~ neq(nil,sk4)
| ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 ) ),
inference(global_subsumption_just,[status(thm)],[c_5970,c_249,c_269,c_250,c_322,c_252,c_334,c_4025,c_4199,c_5214,c_6045,c_6044]) ).
tcf(c_6359,plain,
( ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(renaming,[status(thm)],[c_6358]) ).
tcf(c_6368,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_273,c_6359]) ).
tcf(c_6376,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6368,c_269,c_248]) ).
tcf(c_6381,plain,
( ~ ssList(tl(sk4))
| ~ ssItem(hd(sk4))
| ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 ) ),
inference(global_subsumption_just,[status(thm)],[c_6376,c_249,c_269,c_250,c_322,c_252,c_334,c_4025,c_5214,c_6045,c_6044,c_6376]) ).
tcf(c_6382,plain,
( ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4)) ),
inference(renaming,[status(thm)],[c_6381]) ).
tcf(c_6389,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ ssList(sk4)
| ~ ssList(tl(sk4)) ),
inference(superposition,[status(thm)],[c_296,c_6382]) ).
tcf(c_6390,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ ssList(tl(sk4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6389,c_248]) ).
tcf(c_6394,plain,
( ~ ssList(tl(sk4))
| ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 ) ),
inference(global_subsumption_just,[status(thm)],[c_6390,c_249,c_269,c_250,c_322,c_252,c_334,c_4025,c_5214,c_6045,c_6044,c_6390]) ).
tcf(c_6395,plain,
( ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ ssList(tl(sk4)) ),
inference(renaming,[status(thm)],[c_6394]) ).
tcf(c_6400,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 )
| ~ ssList(sk4) ),
inference(superposition,[status(thm)],[c_288,c_6395]) ).
tcf(c_6401,plain,
( ( sk4 = nil )
| ( app(tl(sk4),cons(hd(sk4),nil)) = sk3 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6400,c_248]) ).
tcf(c_6404,plain,
app(tl(sk4),cons(hd(sk4),nil)) = sk3,
inference(global_subsumption_just,[status(thm)],[c_6401,c_249,c_269,c_250,c_322,c_252,c_334,c_4025,c_5214,c_6045,c_6044,c_6401]) ).
tcf(c_6918,plain,
( ssItem(hd(sk4))
| ( sk4 = nil )
| ~ ssList(sk4) ),
inference(instantiation,[status(thm)],[c_296]) ).
tcf(c_6919,plain,
( ssList(tl(sk4))
| ( sk4 = nil )
| ~ ssList(sk4) ),
inference(instantiation,[status(thm)],[c_288]) ).
tcf(c_7300,plain,
! [X0: $i] :
( ( app(cons(X0,sk4),sk4) = cons(X0,app(sk4,sk4)) )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_248,c_5227]) ).
tcf(c_8030,plain,
( ( sk4 = nil )
| ( cons(hd(sk4),tl(sk4)) = sk4 ) ),
inference(superposition,[status(thm)],[c_248,c_285]) ).
tcf(c_8115,plain,
app(cons(sk5,sk4),sk4) = cons(sk5,app(sk4,sk4)),
inference(superposition,[status(thm)],[c_249,c_7300]) ).
tcf(c_8120,plain,
tl(cons(sk5,app(sk4,sk4))) = app(sk4,sk4),
inference(demodulation,[status(thm)],[c_5061,c_8115]) ).
tcf(c_8125,plain,
( ( cons(sk5,sk4) = nil )
| ~ ssList(sk4)
| ~ ssList(cons(sk5,sk4))
| ( cons(sk5,app(sk4,sk4)) != nil ) ),
inference(superposition,[status(thm)],[c_8115,c_265]) ).
tcf(c_8127,plain,
( ssList(cons(sk5,app(sk4,sk4)))
| ~ ssList(sk4)
| ~ ssList(cons(sk5,sk4)) ),
inference(superposition,[status(thm)],[c_8115,c_282]) ).
tcf(c_8133,plain,
ssList(cons(sk5,app(sk4,sk4))),
inference(forward_subsumption_resolution,[status(thm)],[c_8127,c_248,c_4404]) ).
tcf(c_8142,plain,
cons(sk5,app(sk4,sk4)) != nil,
inference(forward_subsumption_resolution,[status(thm)],[c_8125,c_4486,c_248,c_4404]) ).
tcf(c_8496,plain,
( ssList(app(sk4,sk3))
| ( cons(sk5,app(sk4,sk3)) = nil )
| ~ ssList(cons(sk5,app(sk4,sk3))) ),
inference(superposition,[status(thm)],[c_5584,c_288]) ).
tcf(c_8498,plain,
ssList(app(sk4,sk3)),
inference(forward_subsumption_resolution,[status(thm)],[c_8496,c_5600,c_5592]) ).
tcf(c_8634,plain,
cons(hd(sk4),tl(sk4)) = sk4,
inference(global_subsumption_just,[status(thm)],[c_8030,c_249,c_269,c_250,c_322,c_252,c_334,c_3971,c_4025,c_5214,c_6045,c_6044]) ).
tcf(c_10380,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ ssItem(hd(sk4))
| ~ ssList(tl(sk4))
| ~ memberP(tl(sk4),X0) ),
inference(superposition,[status(thm)],[c_8634,c_259]) ).
tcf(c_10526,plain,
( ssList(app(sk4,sk4))
| ( cons(sk5,app(sk4,sk4)) = nil )
| ~ ssList(cons(sk5,app(sk4,sk4))) ),
inference(superposition,[status(thm)],[c_8120,c_288]) ).
tcf(c_10528,plain,
ssList(app(sk4,sk4)),
inference(forward_subsumption_resolution,[status(thm)],[c_10526,c_8142,c_8133]) ).
tcf(c_11124,plain,
! [X0: $i] :
( ( app(app(sk4,X0),sk3) = app(sk4,app(X0,sk3)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_247,c_5624]) ).
tcf(c_11251,plain,
app(app(sk4,sk4),sk3) = app(sk4,app(sk4,sk3)),
inference(superposition,[status(thm)],[c_248,c_11124]) ).
tcf(c_11634,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk3)),X0)
| ~ ssList(sk3)
| ~ ssItem(X0)
| ~ memberP(sk3,X0)
| ~ ssList(app(sk4,sk4)) ),
inference(superposition,[status(thm)],[c_11251,c_257]) ).
tcf(c_11646,plain,
! [X0: $i] :
( memberP(app(sk4,app(sk4,sk3)),X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11634,c_247,c_10528]) ).
tcf(c_12357,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(app(sk4,sk3),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk3,X0)
| ~ ssList(app(sk4,sk3)) ),
inference(superposition,[status(thm)],[c_11646,c_256]) ).
tcf(c_12358,plain,
! [X0: $i] :
( memberP(sk4,X0)
| memberP(app(sk4,sk3),X0)
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12357,c_248,c_8498]) ).
tcf(c_13231,plain,
! [X0: $i] :
( memberP(tl(sk4),X0)
| memberP(cons(hd(sk4),nil),X0)
| ~ ssItem(X0)
| ~ ssList(tl(sk4))
| ~ memberP(sk3,X0)
| ~ ssList(cons(hd(sk4),nil)) ),
inference(superposition,[status(thm)],[c_6404,c_256]) ).
tcf(c_13934,plain,
! [X0: $i] :
( ssList(cons(hd(sk4),X0))
| ~ ssList(X0)
| ~ ssItem(hd(sk4)) ),
inference(instantiation,[status(thm)],[c_278]) ).
tcf(c_13935,plain,
( ssList(cons(hd(sk4),nil))
| ~ ssList(nil)
| ~ ssItem(hd(sk4)) ),
inference(instantiation,[status(thm)],[c_13934]) ).
tcf(c_21952,plain,
( ( sk4 = nil )
| ( hd(cons(hd(sk4),sk3)) = hd(sk4) ) ),
inference(superposition,[status(thm)],[c_248,c_3870]) ).
tcf(c_22126,plain,
hd(cons(hd(sk4),sk3)) = hd(sk4),
inference(global_subsumption_just,[status(thm)],[c_21952,c_249,c_269,c_250,c_322,c_252,c_334,c_4025,c_5214,c_6045,c_6044,c_21952]) ).
tcf(c_22128,plain,
( ssItem(hd(sk4))
| ( cons(hd(sk4),sk3) = nil )
| ~ ssList(cons(hd(sk4),sk3)) ),
inference(superposition,[status(thm)],[c_22126,c_296]) ).
tcf(c_22937,plain,
memberP(sk4,hd(sk4)),
inference(global_subsumption_just,[status(thm)],[c_4109,c_249,c_248,c_269,c_250,c_322,c_252,c_334,c_4025,c_4109,c_5214,c_6045,c_6044,c_6919,c_6918]) ).
tcf(c_25284,plain,
ssItem(hd(sk4)),
inference(global_subsumption_just,[status(thm)],[c_22128,c_249,c_248,c_269,c_250,c_322,c_252,c_334,c_4025,c_5214,c_6045,c_6044,c_6918]) ).
tcf(c_25318,plain,
app(cons(hd(sk4),sk4),sk3) = cons(hd(sk4),app(sk4,sk3)),
inference(superposition,[status(thm)],[c_25284,c_5289]) ).
tcf(c_25323,plain,
app(cons(hd(sk4),nil),sk4) = cons(hd(sk4),sk4),
inference(superposition,[status(thm)],[c_25284,c_4000]) ).
tcf(c_25575,plain,
( ssList(cons(hd(sk4),sk4))
| ~ ssList(sk4)
| ~ ssList(cons(hd(sk4),nil)) ),
inference(superposition,[status(thm)],[c_25323,c_282]) ).
tcf(c_25576,plain,
! [X0: $i] :
( memberP(cons(hd(sk4),sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(cons(hd(sk4),nil)) ),
inference(superposition,[status(thm)],[c_25323,c_257]) ).
tcf(c_25578,plain,
! [X0: $i] :
( memberP(cons(hd(sk4),sk4),X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(cons(hd(sk4),nil))
| ~ memberP(cons(hd(sk4),nil),X0) ),
inference(superposition,[status(thm)],[c_25323,c_258]) ).
tcf(c_25591,plain,
( ssList(cons(hd(sk4),sk4))
| ~ ssList(cons(hd(sk4),nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25575,c_248]) ).
tcf(c_25601,plain,
! [X0: $i] :
( memberP(cons(hd(sk4),sk4),X0)
| ~ ssItem(X0)
| ~ memberP(sk4,X0)
| ~ ssList(cons(hd(sk4),nil)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25576,c_248]) ).
tcf(c_25613,plain,
! [X0: $i] :
( memberP(cons(hd(sk4),sk4),X0)
| ~ ssItem(X0)
| ~ ssList(cons(hd(sk4),nil))
| ~ memberP(cons(hd(sk4),nil),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25578,c_248]) ).
tcf(c_25688,plain,
ssList(cons(hd(sk4),sk4)),
inference(global_subsumption_just,[status(thm)],[c_25591,c_249,c_248,c_269,c_250,c_322,c_252,c_334,c_4025,c_5214,c_6045,c_6044,c_6918,c_13935,c_25591]) ).
tcf(c_31189,plain,
! [X0: $i] :
( memberP(sk3,X0)
| memberP(cons(hd(sk4),sk4),X0)
| ~ ssList(sk3)
| ~ ssItem(X0)
| ~ ssList(cons(hd(sk4),sk4))
| ~ memberP(cons(hd(sk4),app(sk4,sk3)),X0) ),
inference(superposition,[status(thm)],[c_25318,c_256]) ).
tcf(c_31254,plain,
! [X0: $i] :
( memberP(sk3,X0)
| memberP(cons(hd(sk4),sk4),X0)
| ~ ssItem(X0)
| ~ memberP(cons(hd(sk4),app(sk4,sk3)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_31189,c_247,c_25688]) ).
tcf(c_32103,plain,
! [X0: $i] :
( ~ memberP(cons(hd(sk4),app(sk4,sk3)),X0)
| ~ ssItem(X0)
| memberP(cons(hd(sk4),sk4),X0) ),
inference(global_subsumption_just,[status(thm)],[c_31254,c_249,c_248,c_269,c_250,c_322,c_252,c_334,c_4025,c_5214,c_6045,c_6044,c_6919,c_6918,c_10380,c_13231,c_13935,c_25601,c_25613,c_31254]) ).
tcf(c_32104,plain,
! [X0: $i] :
( memberP(cons(hd(sk4),sk4),X0)
| ~ ssItem(X0)
| ~ memberP(cons(hd(sk4),app(sk4,sk3)),X0) ),
inference(renaming,[status(thm)],[c_32103]) ).
tcf(c_32112,plain,
! [X0: $i] :
( memberP(cons(hd(sk4),sk4),X0)
| ~ ssItem(X0)
| ~ ssItem(hd(sk4))
| ~ ssList(app(sk4,sk3))
| ~ memberP(app(sk4,sk3),X0) ),
inference(superposition,[status(thm)],[c_259,c_32104]) ).
tcf(c_32119,plain,
! [X0: $i] :
( memberP(cons(hd(sk4),sk4),X0)
| ~ ssItem(X0)
| ~ memberP(app(sk4,sk3),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32112,c_25284,c_8498]) ).
tcf(c_37612,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ( hd(sk4) = X0 )
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssItem(hd(sk4))
| ~ memberP(app(sk4,sk3),X0) ),
inference(superposition,[status(thm)],[c_32119,c_255]) ).
tcf(c_37618,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ( hd(sk4) = X0 )
| ~ ssItem(X0)
| ~ memberP(app(sk4,sk3),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_37612,c_248,c_25284]) ).
tcf(c_37904,plain,
! [X0: $i] :
( memberP(sk4,X0)
| ( hd(sk4) = X0 )
| ~ ssItem(X0)
| ~ memberP(sk3,X0) ),
inference(superposition,[status(thm)],[c_12358,c_37618]) ).
tcf(c_56140,plain,
( memberP(sk4,sk5)
| ( hd(sk4) = sk5 )
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_250,c_37904]) ).
tcf(c_56143,plain,
hd(sk4) = sk5,
inference(forward_subsumption_resolution,[status(thm)],[c_56140,c_251,c_249]) ).
tcf(c_56308,plain,
memberP(sk4,sk5),
inference(demodulation,[status(thm)],[c_22937,c_56143]) ).
tcf(c_56322,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_56308,c_251]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC395-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.19/5.47 % Computer : n019.cluster.edu
% 0.19/5.47 % Model : x86_64 x86_64
% 0.19/5.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.47 % Memory : 8046.5625MB
% 0.19/5.47 % OS : Linux 6.8.0-71-generic
% 0.19/5.47 % CPULimit : 300
% 0.19/5.47 % WCLimit : 300
% 0.19/5.47 % DateTime : Thu Sep 24 18:01:31 UTC 2026
% 0.19/5.48 % CPUTime :
% 0.19/5.48 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.25/5.52 Running first-order theorem proving
% 0.25/5.52 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
% 0.25/5.53
% 0.25/5.53 % ======== iProver multi-core TPTP/SMT =========
% 0.25/5.53
% 0.25/5.53 % Detected problem language: tptp
% 0.25/5.54 % Proving...
% 44.22/12.03 % SZS status Started for theBenchmark.p
% 44.22/12.03 % SZS status Unsatisfiable for theBenchmark.p
% 44.22/12.03
% 44.22/12.03 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 44.22/12.03
% 44.22/12.03 % ------ iProver source info
% 44.22/12.03
% 44.22/12.03 % git: date: 2026-07-19 20:42:38 +0200
% 44.22/12.03 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 44.22/12.03 % git: non_committed_changes: false
% 44.22/12.03
% 44.22/12.03 % ------ Parsing...% successful
% 44.22/12.03
% 44.22/12.03
% 44.22/12.03 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 44.22/12.03
% 44.22/12.03 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 44.22/12.03
% 44.22/12.03 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 44.22/12.03
% 44.22/12.03 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 44.22/12.03 % ------ Proving...
% 44.22/12.03 % ------ Problem Properties
% 44.22/12.03
% 44.22/12.03 %
% 44.22/12.03 % clauses 65
% 44.22/12.03 % conjectures 6
% 44.22/12.03 % EPR 23
% 44.22/12.03 % Horn 48
% 44.22/12.03 % unary 9
% 44.22/12.03 % binary 10
% 44.22/12.03 % lits 245
% 44.22/12.03 % lits eq 49
% 44.22/12.03 % fd_pure 0
% 44.22/12.03 % fd_pseudo 0
% 44.22/12.03 % fd_cond 12
% 44.22/12.03 % fd_pseudo_cond 10
% 44.22/12.03 % AC symbols 0
% 44.22/12.03
% 44.22/12.03 % ------ Schedule dynamic 5 is on
% 44.22/12.03
% 44.22/12.03 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 44.22/12.03
% 44.22/12.03
% 44.22/12.03 % ------
% 44.22/12.03 % Current options:
% 44.22/12.03 % ------
% 44.22/12.03
% 44.22/12.03
% 44.22/12.03 %
% 44.22/12.03
% 44.22/12.03 % ------ Proving...
% 44.22/12.03 %
% 44.22/12.03
% 44.22/12.03 % SZS status Unsatisfiable for theBenchmark.p
% 44.22/12.03
% 44.22/12.03 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 44.22/12.04
% 44.22/12.04
%------------------------------------------------------------------------------