%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWC417+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 : n010.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 03:09:42 PM UTC 2026
% Result : Theorem 7.10s 1.74s
% Output : CNFRefutation 7.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 11
% Syntax : Number of formulae : 85 ( 30 unt; 6 def)
% Number of atoms : 381 ( 112 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 381 ( 158 ~; 139 |; 68 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 6 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 183 ( 0 sgn 155 !; 28 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax84) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssList(X8)
=> ( app(X8,cons(X7,nil)) != X2
| app(cons(X7,nil),X8) != X3 ) ) )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X6,cons(X4,nil)),X5) = X0
& app(app(X5,cons(X4,nil)),X6) = X1
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ! [X7] :
( ssItem(X7)
=> ! [X8] :
( ssList(X8)
=> ( app(X8,cons(X7,nil)) != X2
| app(cons(X7,nil),X8) != X3 ) ) )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X6,cons(X4,nil)),X5) = X0
& app(app(X5,cons(X4,nil)),X6) = X1
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f119,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ssList(cons(X1,X0)) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f134,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(ennf_transformation,[],[f28]) ).
fof(f201,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(ennf_transformation,[],[f84]) ).
fof(f221,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = X2
& app(cons(X7,nil),X8) = X3 ) )
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X6,cons(X4,nil)),X5) != X0
| app(app(X5,cons(X4,nil)),X6) != X1
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& neq(X1,nil) ) )
& X0 = X2
& X1 = X3 ) ) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f222,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = X2
& app(cons(X7,nil),X8) = X3 ) )
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X6,cons(X4,nil)),X5) != X0
| app(app(X5,cons(X4,nil)),X6) != X1
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& neq(X1,nil) ) )
& X0 = X2
& X1 = X3 ) ) ) ),
inference(flattening,[],[f221]) ).
fof(f301,plain,
( ssList(sK56)
& ssList(sK57)
& ssList(sK58)
& ssList(sK59)
& ( ( ~ neq(sK59,nil)
& neq(sK57,nil) )
| sP6(sK57,sK56,sK59,sK58) )
& sK56 = sK58
& sK57 = sK59 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK56,sK57,sK58,sK59]),skolemize(X0,sK56),skolemize(X1,sK57),skolemize(X2,sK58),skolemize(X3,sK59)],[f233]) ).
fof(f393,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ssList(cons(X1,X0)) ),
inference(cnf_transformation,[],[f119]) ).
fof(f394,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f408,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f134]) ).
fof(f487,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f201]) ).
fof(f507,plain,
ssList(sK56),
inference(cnf_transformation,[],[f301]) ).
fof(f511,plain,
( ~ neq(sK59,nil)
| sP6(sK57,sK56,sK59,sK58) ),
inference(cnf_transformation,[],[f301]) ).
fof(f512,plain,
( neq(sK57,nil)
| sP6(sK57,sK56,sK59,sK58) ),
inference(cnf_transformation,[],[f301]) ).
fof(f513,plain,
sK56 = sK58,
inference(cnf_transformation,[],[f301]) ).
fof(f514,plain,
sK57 = sK59,
inference(cnf_transformation,[],[f301]) ).
fof(f515,plain,
( neq(sK59,nil)
| sP6(sK59,sK58,sK59,sK58) ),
inference(definition_unfolding,[],[f512,f514,f513,f514]) ).
fof(f516,plain,
( ~ neq(sK59,nil)
| sP6(sK59,sK58,sK59,sK58) ),
inference(definition_unfolding,[],[f511,f514,f513]) ).
fof(f518,plain,
ssList(sK58),
inference(definition_unfolding,[],[f507,f513]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f393]) ).
tcf(c_141,plain,
ssList(nil),
inference(cnf_transformation,[],[f394]) ).
tcf(c_155,plain,
! [X0: $i] :
( ( app(nil,X0) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f408]) ).
tcf(c_232,plain,
! [X0: $i] :
( ( app(X0,nil) = X0 )
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f487]) ).
tcf(c_252,negated_conjecture,
( neq(sK59,nil)
| sP6(sK59,sK58,sK59,sK58) ),
inference(cnf_transformation,[],[f515]) ).
tcf(c_253,negated_conjecture,
( sP6(sK59,sK58,sK59,sK58)
| ~ neq(sK59,nil) ),
inference(cnf_transformation,[],[f516]) ).
tcf(c_257,negated_conjecture,
ssList(sK58),
inference(cnf_transformation,[],[f518]) ).
tcf(c_376,negated_conjecture,
sP6(sK59,sK58,sK59,sK58),
inference(global_subsumption_just,[status(thm)],[c_252,c_252,c_253]) ).
tcf(c_378,negated_conjecture,
sP6(sK59,sK58,sK59,sK58),
inference(global_subsumption_just,[status(thm)],[c_253,c_376]) ).
tcf(c_8936,definition,
iPr_def_10 = sK54(sK59,sK58),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_8937,definition,
iPr_def_11 = cons(iPr_def_10,nil),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_8938,definition,
iPr_def_12 = sK55(sK59,sK58),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_8939,definition,
iPr_def_13 = app(iPr_def_11,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_8940,definition,
iPr_def_14 = app(iPr_def_12,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_8947,negated_conjecture,
ssList(sK58),
inference(demodulation,[status(thm)],[c_257]) ).
tcf(c_12354,plain,
( ssList(iPr_def_11)
| ~ ssList(nil)
| ~ ssItem(iPr_def_10) ),
inference(superposition,[status(thm)],[c_8937,c_140]) ).
fof(f232,definition,
! [X1,X0,X3,X2] :
( ~ sP6(X1,X0,X3,X2)
| ( ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = X2
& app(cons(X7,nil),X8) = X3 ) )
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X6,cons(X4,nil)),X5) != X0
| app(app(X5,cons(X4,nil)),X6) != X1
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& neq(X1,nil) ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f233,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| sP6(X1,X0,X3,X2) )
& X0 = X2
& X1 = X3 ) ) ) ),
inference(definition_folding,[],[f222,f232]) ).
fof(f298,plain,
! [X1,X0,X3,X2] :
( ~ sP6(X1,X0,X3,X2)
| ( ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = X2
& app(cons(X7,nil),X8) = X3 ) )
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X6,cons(X4,nil)),X5) != X0
| app(app(X5,cons(X4,nil)),X6) != X1
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& neq(X1,nil) ) ),
inference(nnf_transformation,[],[f232]) ).
fof(f299,plain,
! [X0,X1,X2,X3] :
( ~ sP6(X0,X1,X2,X3)
| ( ? [X7] :
( ssItem(X7)
& ? [X8] :
( ssList(X8)
& app(X8,cons(X7,nil)) = X3
& app(cons(X7,nil),X8) = X2 ) )
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X6,cons(X4,nil)),X5) != X1
| app(app(X5,cons(X4,nil)),X6) != X0
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& neq(X0,nil) ) ),
inference(rectify,[],[f298]) ).
fof(f300,plain,
! [X0,X1,X2,X3] :
( ~ sP6(X0,X1,X2,X3)
| ( ssItem(sK54(X2,X3))
& ssList(sK55(X2,X3))
& app(sK55(X2,X3),cons(sK54(X2,X3),nil)) = X3
& app(cons(sK54(X2,X3),nil),sK55(X2,X3)) = X2
& ! [X4] :
( ! [X5] :
( ! [X6] :
( app(app(X6,cons(X4,nil)),X5) != X1
| app(app(X5,cons(X4,nil)),X6) != X0
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& neq(X0,nil) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK54,sK55]),skolemize(X7,sK54(X2,X3)),skolemize(X8,sK55(X2,X3))],[f299]) ).
fof(f501,plain,
! [X2,X3,X0,X1] :
( ~ sP6(X0,X1,X2,X3)
| ssItem(sK54(X2,X3)) ),
inference(cnf_transformation,[],[f300]) ).
fof(f502,plain,
! [X2,X3,X0,X1] :
( ~ sP6(X0,X1,X2,X3)
| ssList(sK55(X2,X3)) ),
inference(cnf_transformation,[],[f300]) ).
fof(f503,plain,
! [X2,X3,X0,X1] :
( ~ sP6(X0,X1,X2,X3)
| app(sK55(X2,X3),cons(sK54(X2,X3),nil)) = X3 ),
inference(cnf_transformation,[],[f300]) ).
fof(f504,plain,
! [X2,X3,X0,X1] :
( ~ sP6(X0,X1,X2,X3)
| app(cons(sK54(X2,X3),nil),sK55(X2,X3)) = X2 ),
inference(cnf_transformation,[],[f300]) ).
fof(f505,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ sP6(X0,X1,X2,X3)
| app(app(X6,cons(X4,nil)),X5) != X1
| app(app(X5,cons(X4,nil)),X6) != X0
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f300]) ).
fof(f546,plain,
! [X2,X3,X1,X6,X4,X5] :
( ~ sP6(app(app(X5,cons(X4,nil)),X6),X1,X2,X3)
| app(app(X6,cons(X4,nil)),X5) != X1
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) ),
inference(equality_resolution,[],[f505]) ).
fof(f547,plain,
! [X2,X3,X6,X4,X5] :
( ~ sP6(app(app(X5,cons(X4,nil)),X6),app(app(X6,cons(X4,nil)),X5),X2,X3)
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) ),
inference(equality_resolution,[],[f546]) ).
tcf(c_247,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ sP6(app(app(X0,cons(X1,nil)),X2),app(app(X2,cons(X1,nil)),X0),X3,X4) ),
inference(cnf_transformation,[],[f547]) ).
tcf(c_248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(cons(sK54(X2,X3),nil),sK55(X2,X3)) = X2 )
| ~ sP6(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f504]) ).
tcf(c_249,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(sK55(X2,X3),cons(sK54(X2,X3),nil)) = X3 )
| ~ sP6(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f503]) ).
tcf(c_250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssList(sK55(X2,X3))
| ~ sP6(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f502]) ).
tcf(c_251,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssItem(sK54(X2,X3))
| ~ sP6(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f501]) ).
tcf(c_3139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssItem(sK54(X2,X3))
| ( X3 != sK58 )
| ( X2 != sK59 )
| ( X1 != sK58 )
| ( X0 != sK59 ) ),
inference(resolution_lifted,[status(thm)],[c_251,c_378]) ).
tcf(c_3140,plain,
ssItem(sK54(sK59,sK58)),
inference(unflattening,[status(thm)],[c_3139]) ).
tcf(c_3144,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ssList(sK55(X2,X3))
| ( X3 != sK58 )
| ( X2 != sK59 )
| ( X1 != sK58 )
| ( X0 != sK59 ) ),
inference(resolution_lifted,[status(thm)],[c_250,c_378]) ).
tcf(c_3145,plain,
ssList(sK55(sK59,sK58)),
inference(unflattening,[status(thm)],[c_3144]) ).
tcf(c_3149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(sK55(X2,X3),cons(sK54(X2,X3),nil)) = X3 )
| ( X3 != sK58 )
| ( X2 != sK59 )
| ( X1 != sK58 )
| ( X0 != sK59 ) ),
inference(resolution_lifted,[status(thm)],[c_249,c_378]) ).
tcf(c_3150,plain,
app(sK55(sK59,sK58),cons(sK54(sK59,sK58),nil)) = sK58,
inference(unflattening,[status(thm)],[c_3149]) ).
tcf(c_3154,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( app(cons(sK54(X2,X3),nil),sK55(X2,X3)) = X2 )
| ( X3 != sK58 )
| ( X2 != sK59 )
| ( X1 != sK58 )
| ( X0 != sK59 ) ),
inference(resolution_lifted,[status(thm)],[c_248,c_378]) ).
tcf(c_3155,plain,
app(cons(sK54(sK59,sK58),nil),sK55(sK59,sK58)) = sK59,
inference(unflattening,[status(thm)],[c_3154]) ).
tcf(c_3164,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ( X4 != sK58 )
| ( X3 != sK59 )
| ( app(app(X2,cons(X1,nil)),X0) != sK58 )
| ( app(app(X0,cons(X1,nil)),X2) != sK59 ) ),
inference(resolution_lifted,[status(thm)],[c_247,c_378]) ).
tcf(c_3165,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ( app(app(X2,cons(X1,nil)),X0) != sK58 )
| ( app(app(X0,cons(X1,nil)),X2) != sK59 ) ),
inference(unflattening,[status(thm)],[c_3164]) ).
tcf(c_8942,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ( app(app(X2,cons(X1,nil)),X0) != sK58 )
| ( app(app(X0,cons(X1,nil)),X2) != sK59 ) ),
inference(demodulation,[status(thm)],[c_3165]) ).
tcf(c_8943,plain,
iPr_def_13 = sK59,
inference(demodulation,[status(thm)],[c_3155,c_8938,c_8936,c_8937,c_8939]) ).
tcf(c_8944,plain,
iPr_def_14 = sK58,
inference(demodulation,[status(thm)],[c_3150,c_8940]) ).
tcf(c_8945,plain,
ssList(iPr_def_12),
inference(demodulation,[status(thm)],[c_3145]) ).
tcf(c_8946,plain,
ssItem(iPr_def_10),
inference(demodulation,[status(thm)],[c_3140]) ).
tcf(c_11816,plain,
ssList(iPr_def_14),
inference(light_normalisation,[status(thm)],[c_8947,c_8944]) ).
tcf(c_11818,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ( app(app(X2,cons(X1,nil)),X0) != iPr_def_14 )
| ( app(app(X0,cons(X1,nil)),X2) != iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_8942,c_8943,c_8944]) ).
tcf(c_11894,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(iPr_def_10)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(app(X1,iPr_def_11),X0) != iPr_def_13 )
| ( app(app(X0,cons(iPr_def_10,nil)),X1) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_8937,c_11818]) ).
tcf(c_11895,plain,
! [X0: $i,X1: $i] :
( ~ ssItem(iPr_def_10)
| ~ ssList(X1)
| ~ ssList(X0)
| ( app(app(X1,iPr_def_11),X0) != iPr_def_13 )
| ( app(app(X0,iPr_def_11),X1) != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_11894,c_8937]) ).
tcf(c_11896,plain,
! [X0: $i,X1: $i] :
( ~ ssList(X1)
| ~ ssList(X0)
| ( app(app(X1,iPr_def_11),X0) != iPr_def_13 )
| ( app(app(X0,iPr_def_11),X1) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11895,c_8946]) ).
tcf(c_12291,plain,
app(iPr_def_14,nil) = iPr_def_14,
inference(superposition,[status(thm)],[c_11816,c_232]) ).
tcf(c_12358,plain,
ssList(iPr_def_11),
inference(forward_subsumption_resolution,[status(thm)],[c_12354,c_141,c_8946]) ).
tcf(c_12372,plain,
app(nil,iPr_def_11) = iPr_def_11,
inference(superposition,[status(thm)],[c_12358,c_155]) ).
tcf(c_12375,plain,
! [X0: $i] :
( ~ ssList(nil)
| ~ ssList(X0)
| ( app(iPr_def_11,X0) != iPr_def_13 )
| ( app(app(X0,iPr_def_11),nil) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_12372,c_11896]) ).
tcf(c_12380,plain,
! [X0: $i] :
( ~ ssList(X0)
| ( app(iPr_def_11,X0) != iPr_def_13 )
| ( app(app(X0,iPr_def_11),nil) != iPr_def_14 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12375,c_141]) ).
tcf(c_12469,plain,
( ~ ssList(iPr_def_12)
| ( app(iPr_def_14,nil) != iPr_def_14 )
| ( app(iPr_def_11,iPr_def_12) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_8940,c_12380]) ).
tcf(c_12475,plain,
~ ssList(iPr_def_12),
inference(ground_joinability,[status(thm)],[c_12469,c_8939,c_12291]) ).
tcf(c_12476,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_12475,c_8945]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC417+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 18:09:00 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 7.10/1.74 % SZS status Started for theBenchmark.p
% 7.10/1.74 % SZS status Theorem for theBenchmark.p
% 7.10/1.74
% 7.10/1.74 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 7.10/1.74
% 7.10/1.74 % ------ iProver source info
% 7.10/1.74
% 7.10/1.74 % git: date: 2026-07-19 20:42:38 +0200
% 7.10/1.74 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 7.10/1.74 % git: non_committed_changes: false
% 7.10/1.74
% 7.10/1.74 % ------ Parsing...
% 7.10/1.74 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 7.10/1.74
% 7.10/1.74 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 6 0s sf_e pe_s pe_e %
% 7.10/1.74
% 7.10/1.74 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 7.10/1.74
% 7.10/1.74 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.10/1.74 % ------ Proving...
% 7.10/1.74 % ------ Problem Properties
% 7.10/1.74
% 7.10/1.74 %
% 7.10/1.74 % clauses 193
% 7.10/1.74 % conjectures 2
% 7.10/1.74 % EPR 56
% 7.10/1.74 % Horn 125
% 7.10/1.74 % unary 28
% 7.10/1.74 % binary 40
% 7.10/1.74 % lits 635
% 7.10/1.74 % lits eq 88
% 7.10/1.74 % fd_pure 0
% 7.10/1.74 % fd_pseudo 0
% 7.10/1.74 % fd_cond 21
% 7.10/1.74 % fd_pseudo_cond 14
% 7.10/1.74 % AC symbols 0
% 7.10/1.74
% 7.10/1.74 % ------ Schedule dynamic 5 is on
% 7.10/1.74
% 7.10/1.74 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.10/1.74
% 7.10/1.74
% 7.10/1.74 % ------
% 7.10/1.74 % Current options:
% 7.10/1.74 % ------
% 7.10/1.74
% 7.10/1.74
% 7.10/1.74 %
% 7.10/1.74
% 7.10/1.74 % ------ Proving...
% 7.10/1.74 %
% 7.10/1.74
% 7.10/1.74 % SZS status Theorem for theBenchmark.p
% 7.10/1.74
% 7.10/1.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.10/1.74
% 7.10/1.74
%------------------------------------------------------------------------------