%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC178-1 : 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 03:08:17 PM UTC 2026
% Result : Unsatisfiable 36.05s 5.84s
% Output : CNFRefutation 36.05s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f245ERROR: Could not build tree for root c_85502ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause47) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause50) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause51) ).
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(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause56) ).
fof(f65,axiom,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause65) ).
fof(f72,axiom,
! [X0,X1] :
( ssItem(X1)
| duplicatefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause72) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause73) ).
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(f101,axiom,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/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(f103,axiom,
! [X0] :
( cons(skaf44(X0),nil) = X0
| ~ ssList(X0)
| ~ singletonP(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause101) ).
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(f119,axiom,
! [X0,X1] :
( singletonP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,nil) != X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause116) ).
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(f134,axiom,
! [X0,X1] :
( X1 = X0
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause127) ).
fof(f135,plain,
! [X0,X1] :
( X0 = X1
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1) ),
inference(reorient_equations,[],[f134]) ).
fof(f136,axiom,
! [X0,X1] :
( X1 = X0
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause128) ).
fof(f137,plain,
! [X0,X1] :
( X0 = X1
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1) ),
inference(reorient_equations,[],[f136]) ).
fof(f142,axiom,
! [X0,X1] :
( app(skaf46(X0,X1),X1) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause131) ).
fof(f143,axiom,
! [X0,X1] :
( app(X1,skaf45(X0,X1)) = X0
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause132) ).
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(f148,axiom,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause137) ).
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(f155,axiom,
! [X2,X0,X1] :
( frontsegP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause144) ).
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/sandbox/benchmark/Axioms/SWC001-0.ax',clause149) ).
fof(f162,axiom,
! [X2,X0,X1] :
( X1 = X2
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != app(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause150) ).
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(f164,axiom,
! [X2,X0,X1] :
( segmentP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause152) ).
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/sandbox/benchmark/Axioms/SWC001-0.ax',clause157) ).
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(f187,axiom,
! [X2,X3,X0,X1] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause173) ).
fof(f190,axiom,
! [X2,X3,X0,X1] :
( X0 = X2
| ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause176) ).
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,
segmentP(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f207,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f208,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f209,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f210,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f211,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f212,plain,
sk1 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(reorient_equations,[],[f211]) ).
fof(f213,negated_conjecture,
~ neq(sk5,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f214,negated_conjecture,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f217,plain,
sk3 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
inference(definition_unfolding,[],[f212,f205]) ).
fof(f225,plain,
! [X0] :
( singletonP(cons(X0,nil))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(equality_resolution,[],[f119]) ).
fof(f228,plain,
! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(equality_resolution,[],[f154]) ).
fof(f229,plain,
! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f155]) ).
fof(f232,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(equality_resolution,[],[f187]) ).
fof(f235,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_255,plain,
ssList(nil),
inference(cnf_transformation,[],[f8]) ).
tcf(c_294,plain,
! [X0: $i] : ssItem(skaf44(X0)),
inference(cnf_transformation,[],[f47]) ).
tcf(c_297,plain,
! [X0: $i,X1: $i] : ssList(skaf46(X0,X1)),
inference(cnf_transformation,[],[f50]) ).
tcf(c_298,plain,
! [X0: $i,X1: $i] : ssList(skaf45(X0,X1)),
inference(cnf_transformation,[],[f51]) ).
tcf(c_299,plain,
! [X0: $i,X1: $i] : ssList(skaf43(X0,X1)),
inference(cnf_transformation,[],[f52]) ).
tcf(c_300,plain,
! [X0: $i,X1: $i] : ssList(skaf42(X0,X1)),
inference(cnf_transformation,[],[f53]) ).
tcf(c_303,plain,
! [X0: $i] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_312,plain,
! [X0: $i] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_319,plain,
! [X0: $i,X1: $i] :
( duplicatefreeP(X0)
| ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_320,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_324,plain,
! [X0: $i] :
( ssList(tl(X0))
| ( X0 = nil )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_332,plain,
! [X0: $i,X1: $i] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_333,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_343,plain,
! [X0: $i,X1: $i] :
( ( tl(cons(X1,X0)) = X0 )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_345,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ( cons(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_347,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_348,plain,
! [X0: $i] :
( ( cons(skaf44(X0),nil) = X0 )
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_349,plain,
! [X0: $i,X1: $i] :
( neq(X1,X0)
| ( X0 = X1 )
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_363,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(cnf_transformation,[],[f225]) ).
tcf(c_365,plain,
! [X0: $i,X1: $i] :
( ( X0 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_366,plain,
! [X0: $i,X1: $i] :
( ( X1 = nil )
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != nil ) ),
inference(cnf_transformation,[],[f124]) ).
tcf(c_367,plain,
! [X0: $i,X1: $i] :
( ( app(cons(X1,nil),X0) = cons(X1,X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_374,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_375,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_378,plain,
! [X0: $i,X1: $i] :
( ( app(skaf46(X0,X1),X1) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_379,plain,
! [X0: $i,X1: $i] :
( ( app(X1,skaf45(X0,X1)) = X0 )
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_380,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_384,plain,
! [X0: $i,X1: $i,X2: $i] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_385,plain,
! [X0: $i,X1: $i] :
( memberP(cons(X1,X0),X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_388,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_390,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_391,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(cnf_transformation,[],[f229]) ).
tcf(c_392,plain,
( ( app(nil,nil) = nil )
| ~ ssList(nil) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_396,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( app(app(X2,X1),X0) = app(X2,app(X1,X0)) )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_397,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(X0,X1) != app(X0,X2) ) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_398,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_399,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(X0,X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
tcf(c_404,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X2,app(X0,X1)) = app(cons(X2,X0),X1) )
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_416,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_420,plain,
! [X0: $i,X1: $i,X2: $i] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(cnf_transformation,[],[f232]) ).
tcf(c_423,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
inference(cnf_transformation,[],[f190]) ).
tcf(c_426,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,[],[f235]) ).
tcf(c_435,negated_conjecture,
ssList(sk3),
inference(cnf_transformation,[],[f202]) ).
tcf(c_436,negated_conjecture,
ssList(sk4),
inference(cnf_transformation,[],[f203]) ).
tcf(c_437,negated_conjecture,
segmentP(sk4,sk3),
inference(cnf_transformation,[],[f206]) ).
tcf(c_438,negated_conjecture,
ssItem(sk5),
inference(cnf_transformation,[],[f207]) ).
tcf(c_439,negated_conjecture,
ssItem(sk6),
inference(cnf_transformation,[],[f208]) ).
tcf(c_440,negated_conjecture,
ssList(sk7),
inference(cnf_transformation,[],[f209]) ).
tcf(c_441,negated_conjecture,
ssList(sk8),
inference(cnf_transformation,[],[f210]) ).
tcf(c_442,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk3,
inference(cnf_transformation,[],[f217]) ).
tcf(c_443,negated_conjecture,
~ neq(sk5,sk6),
inference(cnf_transformation,[],[f213]) ).
tcf(c_444,negated_conjecture,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_558,plain,
app(nil,nil) = nil,
inference(global_subsumption_just,[status(thm)],[c_392,c_255,c_392]) ).
tcf(c_810,plain,
! [X0: $i,X1: $i] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_391,c_332]) ).
tcf(c_811,plain,
! [X0: $i,X1: $i] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_390,c_332]) ).
tcf(c_2981,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ ssItem(X1)
| ~ ssItem(X0)
| ( X1 != sk6 )
| ( X0 != sk5 ) ),
inference(resolution_lifted,[status(thm)],[c_443,c_349]) ).
tcf(c_2982,plain,
( ( sk5 = sk6 )
| ~ ssItem(sk6)
| ~ ssItem(sk5) ),
inference(unflattening,[status(thm)],[c_2981]) ).
tcf(c_2983,plain,
sk5 = sk6,
inference(global_subsumption_just,[status(thm)],[c_2982,c_439,c_438,c_2982]) ).
tcf(c_3004,plain,
! [X0: $i,X1: $i] :
( singletonP(sk3)
| ( X0 = X1 )
| ~ ssList(X1)
| ~ ssList(X0)
| ( X1 != nil )
| ( X0 != sk4 ) ),
inference(resolution_lifted,[status(thm)],[c_444,c_347]) ).
tcf(c_3005,plain,
( singletonP(sk3)
| ( sk4 = nil )
| ~ ssList(nil)
| ~ ssList(sk4) ),
inference(unflattening,[status(thm)],[c_3004]) ).
tcf(c_3006,plain,
( singletonP(sk3)
| ( sk4 = nil ) ),
inference(global_subsumption_just,[status(thm)],[c_3005,c_436,c_255,c_3005]) ).
tcf(c_5030,plain,
app(app(app(sk7,cons(sk5,nil)),cons(sk5,nil)),sk8) = sk3,
inference(light_normalisation,[status(thm)],[c_442,c_2983]) ).
tcf(c_9517,plain,
! [X0: $i] :
( ~ iPr_def_10
| ssItem(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_319]) ).
tcf(c_9518,plain,
! [X0: $i] :
( ~ iPr_def_11
| ~ ssList(X0)
| duplicatefreeP(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_319]) ).
tcf(c_9519,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_319]) ).
tcf(c_9520,definition,
iPr_def_12 = cons(sk5,nil),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_9521,definition,
iPr_def_13 = app(sk7,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_9522,definition,
iPr_def_14 = app(iPr_def_13,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_9523,definition,
iPr_def_15 = app(iPr_def_14,sk8),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_9524,plain,
iPr_def_15 = sk3,
inference(demodulation,[status(thm)],[c_5030,c_9520,c_9521,c_9522,c_9523]) ).
tcf(c_9525,plain,
( singletonP(sk3)
| ( sk4 = nil ) ),
inference(demodulation,[status(thm)],[c_3006]) ).
tcf(c_9527,negated_conjecture,
ssList(sk8),
inference(demodulation,[status(thm)],[c_441]) ).
tcf(c_9528,negated_conjecture,
ssList(sk7),
inference(demodulation,[status(thm)],[c_440]) ).
tcf(c_9529,negated_conjecture,
ssItem(sk5),
inference(demodulation,[status(thm)],[c_438]) ).
tcf(c_9530,negated_conjecture,
segmentP(sk4,sk3),
inference(demodulation,[status(thm)],[c_437]) ).
tcf(c_9531,negated_conjecture,
ssList(sk4),
inference(demodulation,[status(thm)],[c_436]) ).
tcf(c_9532,negated_conjecture,
ssList(sk3),
inference(demodulation,[status(thm)],[c_435]) ).
tcf(c_12053,plain,
ssList(iPr_def_15),
inference(light_normalisation,[status(thm)],[c_9532,c_9524]) ).
tcf(c_12054,plain,
segmentP(sk4,iPr_def_15),
inference(light_normalisation,[status(thm)],[c_9530,c_9524]) ).
tcf(c_12055,plain,
( singletonP(iPr_def_15)
| ( sk4 = nil ) ),
inference(light_normalisation,[status(thm)],[c_9525,c_9524]) ).
tcf(c_12140,plain,
app(sk8,nil) = sk8,
inference(superposition,[status(thm)],[c_9527,c_320]) ).
tcf(c_12169,plain,
app(iPr_def_15,nil) = iPr_def_15,
inference(superposition,[status(thm)],[c_12053,c_320]) ).
tcf(c_12441,plain,
( ssList(iPr_def_13)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7) ),
inference(superposition,[status(thm)],[c_9521,c_332]) ).
tcf(c_12442,plain,
( ssList(iPr_def_14)
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_9522,c_332]) ).
tcf(c_12459,plain,
( ssList(iPr_def_13)
| ~ ssList(iPr_def_12) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12441,c_9528]) ).
tcf(c_12462,plain,
( ssList(iPr_def_14)
| ~ ssList(iPr_def_12) ),
inference(backward_subsumption_resolution,[status(thm)],[c_12442,c_12459]) ).
tcf(c_12484,plain,
( ssList(iPr_def_12)
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9520,c_333]) ).
tcf(c_12488,plain,
ssList(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_12484,c_9529,c_255]) ).
tcf(c_12502,plain,
app(iPr_def_12,nil) = iPr_def_12,
inference(superposition,[status(thm)],[c_12488,c_320]) ).
tcf(c_12515,plain,
ssList(iPr_def_13),
inference(global_subsumption_just,[status(thm)],[c_12459,c_12459,c_12488]) ).
tcf(c_12526,plain,
ssList(iPr_def_14),
inference(global_subsumption_just,[status(thm)],[c_12462,c_12462,c_12488]) ).
tcf(c_12528,plain,
( duplicatefreeP(iPr_def_14)
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_12526,c_9518]) ).
tcf(c_12530,plain,
app(iPr_def_14,nil) = iPr_def_14,
inference(superposition,[status(thm)],[c_12526,c_320]) ).
tcf(c_12715,plain,
( memberP(iPr_def_12,sk5)
| ~ ssItem(sk5)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_9520,c_385]) ).
tcf(c_12716,plain,
memberP(iPr_def_12,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_12715,c_9529,c_255]) ).
tcf(c_12749,plain,
( frontsegP(iPr_def_14,iPr_def_13)
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_9522,c_810]) ).
tcf(c_12772,plain,
( frontsegP(iPr_def_12,iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(nil) ),
inference(superposition,[status(thm)],[c_12502,c_810]) ).
tcf(c_12781,plain,
frontsegP(iPr_def_12,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_12772,c_12488,c_255]) ).
tcf(c_12792,plain,
frontsegP(iPr_def_14,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_12749,c_12515,c_12488]) ).
tcf(c_12827,plain,
( rearsegP(iPr_def_15,sk8)
| ~ ssList(iPr_def_14)
| ~ ssList(sk8) ),
inference(superposition,[status(thm)],[c_9523,c_811]) ).
tcf(c_12830,plain,
( rearsegP(sk8,nil)
| ~ ssList(nil)
| ~ ssList(sk8) ),
inference(superposition,[status(thm)],[c_12140,c_811]) ).
tcf(c_12865,plain,
rearsegP(sk8,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_12830,c_255,c_9527]) ).
tcf(c_12868,plain,
rearsegP(iPr_def_15,sk8),
inference(forward_subsumption_resolution,[status(thm)],[c_12827,c_12526,c_9527]) ).
tcf(c_12917,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_333,c_363]) ).
tcf(c_12921,plain,
! [X0: $i] :
( singletonP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12917,c_255]) ).
tcf(c_12943,plain,
! [X0: $i] :
( ( tl(cons(X0,nil)) = nil )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_255,c_343]) ).
tcf(c_13369,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ( nil != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_9520,c_345]) ).
tcf(c_13370,plain,
nil != iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_13369,c_9529,c_255]) ).
tcf(c_13391,plain,
( ( sk4 = nil )
| ( cons(skaf44(iPr_def_15),nil) = iPr_def_15 )
| ~ ssList(iPr_def_15) ),
inference(superposition,[status(thm)],[c_12055,c_348]) ).
tcf(c_13392,plain,
( ( sk4 = nil )
| ( cons(skaf44(iPr_def_15),nil) = iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13391,c_12053]) ).
tcf(c_14330,plain,
! [X0: $i] :
( ( app(cons(X0,nil),sk8) = cons(X0,sk8) )
| ~ ssItem(X0) ),
inference(superposition,[status(thm)],[c_9527,c_367]) ).
tcf(c_14606,plain,
( ( nil = iPr_def_14 )
| ~ ssList(iPr_def_14)
| ~ ssList(sk8)
| ( nil != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9523,c_365]) ).
tcf(c_14637,plain,
( ( nil = iPr_def_14 )
| ( nil != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14606,c_12526,c_9527]) ).
tcf(c_14762,plain,
( ( nil = iPr_def_12 )
| ~ ssList(iPr_def_13)
| ~ ssList(iPr_def_12)
| ( nil != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9522,c_366]) ).
tcf(c_14798,plain,
nil != iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_14762,c_13370,c_12515,c_12488]) ).
tcf(c_14800,plain,
nil != iPr_def_15,
inference(backward_subsumption_resolution,[status(thm)],[c_14637,c_14798]) ).
tcf(c_15085,plain,
app(cons(sk5,nil),sk8) = cons(sk5,sk8),
inference(superposition,[status(thm)],[c_9529,c_14330]) ).
tcf(c_15105,plain,
cons(sk5,sk8) = app(iPr_def_12,sk8),
inference(light_normalisation,[status(thm)],[c_15085,c_9520]) ).
tcf(c_15584,plain,
( ( sk8 = nil )
| ~ ssList(nil)
| ~ ssList(sk8)
| ~ rearsegP(nil,sk8) ),
inference(superposition,[status(thm)],[c_12865,c_375]) ).
tcf(c_15608,plain,
( ( sk8 = nil )
| ~ rearsegP(nil,sk8) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15584,c_255,c_9527]) ).
tcf(c_16085,plain,
( ( app(skaf46(iPr_def_15,sk8),sk8) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(sk8) ),
inference(superposition,[status(thm)],[c_12868,c_378]) ).
tcf(c_16129,plain,
app(skaf46(iPr_def_15,sk8),sk8) = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_16085,c_12053,c_9527]) ).
tcf(c_16665,plain,
! [X0: $i] :
( frontsegP(iPr_def_15,X0)
| ~ ssList(iPr_def_14)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X0) ),
inference(superposition,[status(thm)],[c_9523,c_384]) ).
tcf(c_16732,plain,
! [X0: $i] :
( frontsegP(iPr_def_15,X0)
| ~ ssList(X0)
| ~ frontsegP(iPr_def_14,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16665,c_12526,c_9527]) ).
tcf(c_17194,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_9521,c_388]) ).
tcf(c_17245,plain,
! [X0: $i] :
( memberP(iPr_def_13,X0)
| ~ ssItem(X0)
| ~ memberP(iPr_def_12,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17194,c_12488,c_9528]) ).
tcf(c_17710,plain,
! [X0: $i] :
( ( X0 = nil )
| ( app(tl(X0),sk8) = tl(app(X0,sk8)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9527,c_380]) ).
tcf(c_18125,plain,
! [X0: $i] :
( segmentP(sk4,X0)
| ~ ssList(iPr_def_15)
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ segmentP(iPr_def_15,X0) ),
inference(superposition,[status(thm)],[c_12054,c_399]) ).
tcf(c_18126,plain,
! [X0: $i] :
( segmentP(sk4,X0)
| ~ ssList(X0)
| ~ segmentP(iPr_def_15,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_18125,c_12053,c_9531]) ).
tcf(c_18389,plain,
( frontsegP(iPr_def_15,iPr_def_13)
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_12792,c_16732]) ).
tcf(c_18392,plain,
frontsegP(iPr_def_15,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_18389,c_12515]) ).
tcf(c_18465,plain,
( memberP(iPr_def_13,sk5)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_12716,c_17245]) ).
tcf(c_18466,plain,
memberP(iPr_def_13,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_18465,c_9529]) ).
tcf(c_18686,plain,
! [X0: $i,X1: $i] :
( ( app(app(X1,X0),sk8) = app(X1,app(X0,sk8)) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9527,c_396]) ).
tcf(c_19000,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(sk8,X0)) = app(cons(X1,sk8),X0) )
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9527,c_404]) ).
tcf(c_19502,plain,
( ( app(iPr_def_13,skaf45(iPr_def_15,iPr_def_13)) = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(iPr_def_13) ),
inference(superposition,[status(thm)],[c_18392,c_379]) ).
tcf(c_19507,plain,
app(iPr_def_13,skaf45(iPr_def_15,iPr_def_13)) = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_19502,c_12053,c_12515]) ).
tcf(c_19744,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(iPr_def_14)
| ~ ssList(sk8)
| ~ ssList(X0)
| ( app(iPr_def_14,X0) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9523,c_397]) ).
tcf(c_19853,plain,
! [X0: $i] :
( ( X0 = sk8 )
| ~ ssList(X0)
| ( app(iPr_def_14,X0) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19744,c_12526,c_9527]) ).
tcf(c_20132,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_9523,c_398]) ).
tcf(c_20241,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ~ ssList(X0)
| ( app(X0,sk8) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20132,c_12526,c_9527]) ).
tcf(c_22867,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_18466,c_416]) ).
tcf(c_22868,plain,
app(skaf42(iPr_def_13,sk5),cons(sk5,skaf43(sk5,iPr_def_13))) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_22867,c_9529,c_12515]) ).
tcf(c_23434,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(app(sk7,iPr_def_12),X0)) ),
inference(superposition,[status(thm)],[c_9521,c_420]) ).
tcf(c_23436,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),sk8)
| ~ ssList(iPr_def_14)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_14,sk8),X0)) ),
inference(superposition,[status(thm)],[c_9523,c_420]) ).
tcf(c_23570,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),sk8)
| ~ ssList(iPr_def_14)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_15,X0)) ),
inference(light_normalisation,[status(thm)],[c_23436,c_9523]) ).
tcf(c_23571,plain,
! [X0: $i] :
( segmentP(app(iPr_def_15,X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_15,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23570,c_12526,c_9527]) ).
tcf(c_23580,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),iPr_def_12)
| ~ ssList(iPr_def_12)
| ~ ssList(sk7)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(light_normalisation,[status(thm)],[c_23434,c_9521]) ).
tcf(c_23581,plain,
! [X0: $i] :
( segmentP(app(iPr_def_13,X0),iPr_def_12)
| ~ ssList(X0)
| ~ ssList(app(iPr_def_13,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_23580,c_12488,c_9528]) ).
tcf(c_24573,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk5 )
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(iPr_def_12,cons(X0,X1)) ),
inference(superposition,[status(thm)],[c_9520,c_423]) ).
tcf(c_24592,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk5 )
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ frontsegP(iPr_def_12,cons(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_24573,c_9529,c_255]) ).
tcf(c_25520,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_22868,c_426]) ).
tcf(c_25554,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_25520,c_22868]) ).
tcf(c_25555,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_25554,c_9529,c_300,c_299]) ).
tcf(c_27381,plain,
( segmentP(iPr_def_15,sk8)
| ~ ssList(nil)
| ~ ssList(app(iPr_def_15,nil)) ),
inference(superposition,[status(thm)],[c_12169,c_23571]) ).
tcf(c_27385,plain,
( segmentP(iPr_def_15,sk8)
| ~ ssList(iPr_def_15)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_27381,c_12169]) ).
tcf(c_27386,plain,
segmentP(iPr_def_15,sk8),
inference(forward_subsumption_resolution,[status(thm)],[c_27385,c_12053,c_255]) ).
tcf(c_27843,plain,
! [X0: $i] :
( segmentP(iPr_def_15,X0)
| ~ ssList(iPr_def_15)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(superposition,[status(thm)],[c_27386,c_399]) ).
tcf(c_27850,plain,
! [X0: $i] :
( segmentP(iPr_def_15,X0)
| ~ ssList(X0)
| ~ segmentP(sk8,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27843,c_12053,c_9527]) ).
tcf(c_27908,plain,
( segmentP(iPr_def_15,nil)
| ~ ssList(nil)
| ~ ssList(sk8) ),
inference(superposition,[status(thm)],[c_303,c_27850]) ).
tcf(c_27911,plain,
segmentP(iPr_def_15,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_27908,c_255,c_9527]) ).
tcf(c_27914,plain,
( ( nil = iPr_def_15 )
| ~ ssList(iPr_def_15)
| ~ ssList(nil)
| ~ segmentP(nil,iPr_def_15) ),
inference(superposition,[status(thm)],[c_27911,c_374]) ).
tcf(c_27916,plain,
~ segmentP(nil,iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_27914,c_14800,c_12053,c_255]) ).
tcf(c_28929,plain,
( ( sk8 = nil )
| ~ ssList(nil)
| ( iPr_def_14 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12530,c_19853]) ).
tcf(c_28930,plain,
( ( sk8 = nil )
| ( iPr_def_14 != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28929,c_255]) ).
tcf(c_29200,plain,
( ( skaf46(iPr_def_15,sk8) = iPr_def_14 )
| ~ ssList(skaf46(iPr_def_15,sk8)) ),
inference(superposition,[status(thm)],[c_16129,c_20241]) ).
tcf(c_29201,plain,
skaf46(iPr_def_15,sk8) = iPr_def_14,
inference(forward_subsumption_resolution,[status(thm)],[c_29200,c_297]) ).
tcf(c_29205,plain,
app(iPr_def_14,sk8) = iPr_def_15,
inference(demodulation,[status(thm)],[c_16129,c_29201]) ).
tcf(c_29494,plain,
( singletonP(iPr_def_12)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm)],[c_9520,c_12921]) ).
tcf(c_29496,plain,
singletonP(iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_29494,c_9529]) ).
tcf(c_29501,plain,
( ( cons(skaf44(iPr_def_12),nil) = iPr_def_12 )
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_29496,c_348]) ).
tcf(c_29502,plain,
cons(skaf44(iPr_def_12),nil) = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_29501,c_12488]) ).
tcf(c_31604,plain,
( ( skaf44(iPr_def_12) = sk5 )
| ~ ssList(nil)
| ~ frontsegP(iPr_def_12,iPr_def_12)
| ~ ssItem(skaf44(iPr_def_12)) ),
inference(superposition,[status(thm)],[c_29502,c_24592]) ).
tcf(c_31642,plain,
skaf44(iPr_def_12) = sk5,
inference(forward_subsumption_resolution,[status(thm)],[c_31604,c_255,c_12781,c_294]) ).
tcf(c_31785,plain,
cons(sk5,nil) = iPr_def_12,
inference(demodulation,[status(thm)],[c_29502,c_31642]) ).
tcf(c_33118,plain,
( ( nil = iPr_def_14 )
| ( app(tl(iPr_def_14),sk8) = tl(app(iPr_def_14,sk8)) ) ),
inference(superposition,[status(thm)],[c_12526,c_17710]) ).
tcf(c_33119,plain,
( ( nil = iPr_def_14 )
| ( app(tl(iPr_def_14),sk8) = tl(iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_33118,c_29205]) ).
tcf(c_33120,plain,
app(tl(iPr_def_14),sk8) = tl(iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_33119,c_14798]) ).
tcf(c_34035,plain,
( ~ ssList(nil)
| ~ ssList(app(iPr_def_13,iPr_def_12))
| ~ duplicatefreeP(app(iPr_def_13,cons(sk5,nil))) ),
inference(superposition,[status(thm)],[c_31785,c_25555]) ).
tcf(c_34037,plain,
( ~ duplicatefreeP(iPr_def_14)
| ~ ssList(iPr_def_14)
| ~ ssList(nil) ),
inference(light_normalisation,[status(thm)],[c_34035,c_9522,c_31785]) ).
tcf(c_34038,plain,
~ duplicatefreeP(iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_34037,c_12526,c_255]) ).
tcf(c_34043,plain,
~ iPr_def_11,
inference(backward_subsumption_resolution,[status(thm)],[c_12528,c_34038]) ).
tcf(c_34044,plain,
iPr_def_10,
inference(backward_subsumption_resolution,[status(thm)],[c_9519,c_34043]) ).
tcf(c_34045,plain,
! [X0: $i] : ssItem(X0),
inference(backward_subsumption_resolution,[status(thm)],[c_9517,c_34044]) ).
tcf(c_34090,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X2,app(X0,X1)) = app(cons(X2,X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_404,c_34045]) ).
tcf(c_34125,plain,
! [X0: $i] : duplicatefreeP(cons(X0,nil)),
inference(backward_subsumption_resolution,[status(thm)],[c_312,c_34045]) ).
tcf(c_38032,plain,
( duplicatefreeP(iPr_def_15)
| ( sk4 = nil ) ),
inference(superposition,[status(thm)],[c_13392,c_34125]) ).
tcf(c_46006,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk8),X0),sk8)
| ~ ssList(iPr_def_12)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(app(iPr_def_12,sk8),X0)) ),
inference(superposition,[status(thm)],[c_15105,c_420]) ).
tcf(c_46049,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk8),X0),sk8)
| ~ ssList(iPr_def_12)
| ~ ssList(sk8)
| ~ ssList(X0)
| ~ ssList(app(cons(sk5,sk8),X0)) ),
inference(light_normalisation,[status(thm)],[c_46006,c_15105]) ).
tcf(c_46050,plain,
! [X0: $i] :
( segmentP(app(cons(sk5,sk8),X0),sk8)
| ~ ssList(X0)
| ~ ssList(app(cons(sk5,sk8),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46049,c_12488,c_9527]) ).
tcf(c_49992,plain,
( segmentP(iPr_def_15,iPr_def_12)
| ~ ssList(skaf45(iPr_def_15,iPr_def_13))
| ~ ssList(app(iPr_def_13,skaf45(iPr_def_15,iPr_def_13))) ),
inference(superposition,[status(thm)],[c_19507,c_23581]) ).
tcf(c_49999,plain,
( segmentP(iPr_def_15,iPr_def_12)
| ~ ssList(iPr_def_15)
| ~ ssList(skaf45(iPr_def_15,iPr_def_13)) ),
inference(light_normalisation,[status(thm)],[c_49992,c_19507]) ).
tcf(c_50000,plain,
segmentP(iPr_def_15,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_49999,c_12053,c_298]) ).
tcf(c_50047,plain,
( segmentP(sk4,iPr_def_12)
| ~ ssList(iPr_def_12) ),
inference(superposition,[status(thm)],[c_50000,c_18126]) ).
tcf(c_50048,plain,
segmentP(sk4,iPr_def_12),
inference(forward_subsumption_resolution,[status(thm)],[c_50047,c_12488]) ).
tcf(c_50056,plain,
( ( sk4 = iPr_def_12 )
| ~ ssList(iPr_def_12)
| ~ ssList(sk4)
| ~ segmentP(iPr_def_12,sk4) ),
inference(superposition,[status(thm)],[c_50048,c_374]) ).
tcf(c_50057,plain,
( ( sk4 = iPr_def_12 )
| ~ segmentP(iPr_def_12,sk4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50056,c_12488,c_9531]) ).
tcf(c_50402,plain,
! [X0: $i] :
( ( app(app(X0,sk8),sk8) = app(X0,app(sk8,sk8)) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9527,c_18686]) ).
tcf(c_51634,plain,
( ssList(tl(iPr_def_15))
| ~ ssList(sk8)
| ~ ssList(tl(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_33120,c_332]) ).
tcf(c_51640,plain,
( rearsegP(tl(iPr_def_15),sk8)
| ~ ssList(sk8)
| ~ ssList(tl(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_33120,c_811]) ).
tcf(c_51650,plain,
( ssList(tl(iPr_def_15))
| ~ ssList(tl(iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51634,c_9527]) ).
tcf(c_51653,plain,
( rearsegP(tl(iPr_def_15),sk8)
| ~ ssList(tl(iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51640,c_9527]) ).
tcf(c_51748,plain,
( ssList(tl(iPr_def_15))
| ( nil = iPr_def_14 )
| ~ ssList(iPr_def_14) ),
inference(superposition,[status(thm)],[c_324,c_51650]) ).
tcf(c_51749,plain,
ssList(tl(iPr_def_15)),
inference(forward_subsumption_resolution,[status(thm)],[c_51748,c_14798,c_12526]) ).
tcf(c_51755,plain,
( ( app(skaf46(tl(iPr_def_15),sk8),sk8) = tl(iPr_def_15) )
| ~ ssList(sk8)
| ~ ssList(tl(iPr_def_15))
| ~ ssList(tl(iPr_def_14)) ),
inference(superposition,[status(thm)],[c_51653,c_378]) ).
tcf(c_51762,plain,
( ( app(skaf46(tl(iPr_def_15),sk8),sk8) = tl(iPr_def_15) )
| ~ ssList(tl(iPr_def_15))
| ~ ssList(tl(iPr_def_14)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_51755,c_9527]) ).
tcf(c_55579,plain,
app(app(iPr_def_12,sk8),sk8) = app(iPr_def_12,app(sk8,sk8)),
inference(superposition,[status(thm)],[c_12488,c_50402]) ).
tcf(c_55610,plain,
app(cons(sk5,sk8),sk8) = app(iPr_def_12,app(sk8,sk8)),
inference(light_normalisation,[status(thm)],[c_55579,c_15105]) ).
tcf(c_56532,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X2,app(X0,X1)) = app(cons(X2,X0),X1) )
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(global_subsumption_just,[status(thm)],[c_404,c_34090]) ).
tcf(c_56533,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( cons(X2,app(X0,X1)) = app(cons(X2,X0),X1) )
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(renaming,[status(thm)],[c_56532]) ).
tcf(c_56542,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(sk8,X0)) = app(cons(X1,sk8),X0) )
| ~ ssList(X0) ),
inference(superposition,[status(thm)],[c_9527,c_56533]) ).
tcf(c_57366,plain,
! [X0: $i] : tl(cons(X0,nil)) = nil,
inference(global_subsumption_just,[status(thm)],[c_12943,c_9517,c_12943,c_34044]) ).
tcf(c_57371,plain,
( ( sk4 = nil )
| ( tl(iPr_def_15) = nil ) ),
inference(superposition,[status(thm)],[c_13392,c_57366]) ).
tcf(c_68215,plain,
! [X0: $i,X1: $i] :
( ( cons(X1,app(sk8,X0)) = app(cons(X1,sk8),X0) )
| ~ ssList(X0) ),
inference(global_subsumption_just,[status(thm)],[c_19000,c_56542]) ).
tcf(c_68223,plain,
! [X0: $i] : cons(X0,app(sk8,sk8)) = app(cons(X0,sk8),sk8),
inference(superposition,[status(thm)],[c_9527,c_68215]) ).
tcf(c_69410,plain,
( segmentP(cons(sk5,app(sk8,sk8)),sk8)
| ~ ssList(sk8)
| ~ ssList(app(cons(sk5,sk8),sk8)) ),
inference(superposition,[status(thm)],[c_68223,c_46050]) ).
tcf(c_69422,plain,
( segmentP(cons(sk5,app(sk8,sk8)),sk8)
| ~ ssList(sk8)
| ~ ssList(app(iPr_def_12,app(sk8,sk8))) ),
inference(light_normalisation,[status(thm)],[c_69410,c_55610]) ).
tcf(c_69423,plain,
( segmentP(cons(sk5,app(sk8,sk8)),sk8)
| ~ ssList(app(iPr_def_12,app(sk8,sk8))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_69422,c_9527]) ).
tcf(c_72922,plain,
( ( app(skaf46(tl(iPr_def_15),sk8),sk8) = tl(iPr_def_15) )
| ~ ssList(tl(iPr_def_14)) ),
inference(global_subsumption_just,[status(thm)],[c_51762,c_51749,c_51762]) ).
tcf(c_72928,plain,
( ( nil = iPr_def_14 )
| ( app(skaf46(tl(iPr_def_15),sk8),sk8) = tl(iPr_def_15) )
| ~ ssList(iPr_def_14) ),
inference(superposition,[status(thm)],[c_324,c_72922]) ).
tcf(c_72929,plain,
app(skaf46(tl(iPr_def_15),sk8),sk8) = tl(iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_72928,c_14798,c_12526]) ).
tcf(c_81033,plain,
( rearsegP(tl(iPr_def_15),sk8)
| ~ ssList(sk8)
| ~ ssList(skaf46(tl(iPr_def_15),sk8)) ),
inference(superposition,[status(thm)],[c_72929,c_811]) ).
tcf(c_81045,plain,
rearsegP(tl(iPr_def_15),sk8),
inference(forward_subsumption_resolution,[status(thm)],[c_81033,c_9527,c_297]) ).
tcf(c_81089,plain,
( rearsegP(nil,sk8)
| ( sk4 = nil ) ),
inference(superposition,[status(thm)],[c_57371,c_81045]) ).
tcf(c_81230,plain,
( ( sk8 = nil )
| ( sk4 = nil ) ),
inference(superposition,[status(thm)],[c_81089,c_15608]) ).
tcf(c_82153,plain,
( ( sk4 = nil )
| ( app(iPr_def_14,nil) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_81230,c_9523]) ).
tcf(c_82169,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk4 = nil ) ),
inference(light_normalisation,[status(thm)],[c_82153,c_12530]) ).
tcf(c_84322,plain,
( segmentP(nil,iPr_def_15)
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_82169,c_12054]) ).
tcf(c_84324,plain,
iPr_def_14 = iPr_def_15,
inference(forward_subsumption_resolution,[status(thm)],[c_84322,c_27916]) ).
tcf(c_84325,plain,
sk8 = nil,
inference(backward_subsumption_resolution,[status(thm)],[c_28930,c_84324]) ).
tcf(c_84423,plain,
( duplicatefreeP(iPr_def_14)
| ( sk4 = nil ) ),
inference(demodulation,[status(thm)],[c_38032,c_84324]) ).
tcf(c_84575,plain,
( segmentP(cons(sk5,app(nil,nil)),nil)
| ~ ssList(app(iPr_def_12,app(nil,nil))) ),
inference(demodulation,[status(thm)],[c_69423,c_84325]) ).
tcf(c_85169,plain,
( segmentP(iPr_def_12,nil)
| ~ ssList(iPr_def_12) ),
inference(light_normalisation,[status(thm)],[c_84575,c_558,c_12502,c_31785]) ).
tcf(c_85170,plain,
segmentP(iPr_def_12,nil),
inference(forward_subsumption_resolution,[status(thm)],[c_85169,c_12488]) ).
tcf(c_85351,plain,
sk4 = nil,
inference(forward_subsumption_resolution,[status(thm)],[c_84423,c_34038]) ).
tcf(c_85426,plain,
( ( nil = iPr_def_12 )
| ~ segmentP(iPr_def_12,nil) ),
inference(demodulation,[status(thm)],[c_50057,c_85351]) ).
tcf(c_85501,plain,
nil = iPr_def_12,
inference(forward_subsumption_resolution,[status(thm)],[c_85426,c_85170]) ).
tcf(c_85502,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_85501,c_13370]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC178-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 16:49:42 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.42 % Proving...
% 36.05/5.84 % SZS status Started for theBenchmark.p
% 36.05/5.84 % SZS status Unsatisfiable for theBenchmark.p
% 36.05/5.84
% 36.05/5.84 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 36.05/5.84
% 36.05/5.84 % ------ iProver source info
% 36.05/5.84
% 36.05/5.84 % git: date: 2026-07-19 20:42:38 +0200
% 36.05/5.84 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 36.05/5.84 % git: non_committed_changes: false
% 36.05/5.84
% 36.05/5.84 % ------ Parsing...% successful
% 36.05/5.84
% 36.05/5.84
% 36.05/5.84 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 36.05/5.84
% 36.05/5.84 % ------ 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 %
% 36.05/5.84
% 36.05/5.84 % ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e %
% 36.05/5.84
% 36.05/5.84 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 36.05/5.84 % ------ Proving...
% 36.05/5.84 % ------ Problem Properties
% 36.05/5.84
% 36.05/5.84 %
% 36.05/5.84 % clauses 190
% 36.05/5.84 % conjectures 6
% 36.05/5.84 % EPR 61
% 36.05/5.84 % Horn 161
% 36.05/5.84 % unary 70
% 36.05/5.84 % binary 22
% 36.05/5.84 % lits 555
% 36.05/5.84 % lits eq 76
% 36.05/5.84 % fd_pure 0
% 36.05/5.84 % fd_pseudo 0
% 36.05/5.84 % fd_cond 15
% 36.05/5.84 % fd_pseudo_cond 14
% 36.05/5.84 % AC symbols 0
% 36.05/5.84
% 36.05/5.84 % ------ Schedule dynamic 5 is on
% 36.05/5.84
% 36.05/5.84 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 36.05/5.84
% 36.05/5.84
% 36.05/5.84 % ------
% 36.05/5.84 % Current options:
% 36.05/5.84 % ------
% 36.05/5.84
% 36.05/5.84
% 36.05/5.84 %
% 36.05/5.84
% 36.05/5.84 % ------ Proving...
% 36.05/5.84 %
% 36.05/5.84
% 36.05/5.84 % SZS status Unsatisfiable for theBenchmark.p
% 36.05/5.84
% 36.05/5.84 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 36.05/5.85
% 36.05/5.85
%------------------------------------------------------------------------------