TSTP Solution File: SWC219+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWC219+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 20:41:47 EDT 2023
% Result : Theorem 3.78s 1.19s
% Output : CNFRefutation 3.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 62 ( 18 unt; 0 def)
% Number of atoms : 478 ( 151 equ)
% Maximal formula atoms : 50 ( 7 avg)
% Number of connectives : 622 ( 206 ~; 187 |; 202 &)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 167 ( 0 sgn; 88 !; 58 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X8] :
( ssItem(X8)
=> ( ? [X9] :
( leq(X9,X8)
& memberP(X3,X9)
& X8 != X9
& ssItem(X9) )
| ~ memberP(X3,X8)
| cons(X8,nil) != X2 ) ) )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ssItem(X7)
=> ( leq(X7,X4)
| ~ leq(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7) ) )
& app(app(X5,cons(X4,nil)),X6) = X0
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| nil = X0
| 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)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X8] :
( ssItem(X8)
=> ( ? [X9] :
( leq(X9,X8)
& memberP(X3,X9)
& X8 != X9
& ssItem(X9) )
| ~ memberP(X3,X8)
| cons(X8,nil) != X2 ) ) )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( ! [X7] :
( ssItem(X7)
=> ( leq(X7,X4)
| ~ leq(X4,X7)
| ~ memberP(X6,X7)
| ~ memberP(X5,X7) ) )
& app(app(X5,cons(X4,nil)),X6) = X0
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| nil = X0
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ssItem(X4)
=> ( ? [X5] :
( leq(X5,X4)
& memberP(X3,X5)
& X4 != X5
& ssItem(X5) )
| ~ memberP(X3,X4)
| cons(X4,nil) != X2 ) ) )
| ? [X6] :
( ? [X7] :
( ? [X8] :
( ! [X9] :
( ssItem(X9)
=> ( leq(X9,X6)
| ~ leq(X6,X9)
| ~ memberP(X8,X9)
| ~ memberP(X7,X9) ) )
& app(app(X7,cons(X6,nil)),X8) = X0
& ssList(X8) )
& ssList(X7) )
& ssItem(X6) )
| nil = X0
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f135,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f149,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f202,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ leq(X9,X6)
& leq(X6,X9)
& memberP(X8,X9)
& memberP(X7,X9)
& ssItem(X9) )
| app(app(X7,cons(X6,nil)),X8) != X0
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& nil != X0
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f223,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ leq(X9,X6)
& leq(X6,X9)
& memberP(X8,X9)
& memberP(X7,X9)
& ssItem(X9) )
| app(app(X7,cons(X6,nil)),X8) != X0
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& nil != X0
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f222]) ).
fof(f344,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ leq(X9,X6)
& leq(X6,X9)
& memberP(X8,X9)
& memberP(X7,X9)
& ssItem(X9) )
| app(app(X7,cons(X6,nil)),X8) != X0
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& nil != X0
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ leq(X9,X6)
& leq(X6,X9)
& memberP(X8,X9)
& memberP(X7,X9)
& ssItem(X9) )
| app(app(X7,cons(X6,nil)),X8) != sK53
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& nil != sK53
& sK53 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK53) ) ),
introduced(choice_axiom,[]) ).
fof(f345,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ leq(X9,X6)
& leq(X6,X9)
& memberP(X8,X9)
& memberP(X7,X9)
& ssItem(X9) )
| app(app(X7,cons(X6,nil)),X8) != sK53
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& nil != sK53
& sK53 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ leq(X9,X6)
& leq(X6,X9)
& memberP(X8,X9)
& memberP(X7,X9)
& ssItem(X9) )
| app(app(X7,cons(X6,nil)),X8) != sK53
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& nil != sK53
& sK53 = X2
& sK54 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK54) ) ),
introduced(choice_axiom,[]) ).
fof(f346,plain,
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ leq(X9,X6)
& leq(X6,X9)
& memberP(X8,X9)
& memberP(X7,X9)
& ssItem(X9) )
| app(app(X7,cons(X6,nil)),X8) != sK53
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& nil != sK53
& sK53 = X2
& sK54 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( nil = sK55
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = sK55
& ssItem(X4) ) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ leq(X9,X6)
& leq(X6,X9)
& memberP(X8,X9)
& memberP(X7,X9)
& ssItem(X9) )
| app(app(X7,cons(X6,nil)),X8) != sK53
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& nil != sK53
& sK53 = sK55
& sK54 = X3
& ssList(X3) )
& ssList(sK55) ) ),
introduced(choice_axiom,[]) ).
fof(f347,plain,
( ? [X3] :
( ( ( nil = sK55
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = sK55
& ssItem(X4) ) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ leq(X9,X6)
& leq(X6,X9)
& memberP(X8,X9)
& memberP(X7,X9)
& ssItem(X9) )
| app(app(X7,cons(X6,nil)),X8) != sK53
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& nil != sK53
& sK53 = sK55
& sK54 = X3
& ssList(X3) )
=> ( ( ( nil = sK55
& nil = sK56 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(sK56,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(sK56,X4)
& cons(X4,nil) = sK55
& ssItem(X4) ) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ? [X9] :
( ~ leq(X9,X6)
& leq(X6,X9)
& memberP(X8,X9)
& memberP(X7,X9)
& ssItem(X9) )
| app(app(X7,cons(X6,nil)),X8) != sK53
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& nil != sK53
& sK53 = sK55
& sK54 = sK56
& ssList(sK56) ) ),
introduced(choice_axiom,[]) ).
fof(f348,plain,
( ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(sK56,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(sK56,X4)
& cons(X4,nil) = sK55
& ssItem(X4) )
=> ( ! [X5] :
( ~ leq(X5,sK57)
| ~ memberP(sK56,X5)
| sK57 = X5
| ~ ssItem(X5) )
& memberP(sK56,sK57)
& sK55 = cons(sK57,nil)
& ssItem(sK57) ) ),
introduced(choice_axiom,[]) ).
fof(f349,plain,
! [X6,X7,X8] :
( ? [X9] :
( ~ leq(X9,X6)
& leq(X6,X9)
& memberP(X8,X9)
& memberP(X7,X9)
& ssItem(X9) )
=> ( ~ leq(sK58(X6,X7,X8),X6)
& leq(X6,sK58(X6,X7,X8))
& memberP(X8,sK58(X6,X7,X8))
& memberP(X7,sK58(X6,X7,X8))
& ssItem(sK58(X6,X7,X8)) ) ),
introduced(choice_axiom,[]) ).
fof(f350,plain,
( ( ( nil = sK55
& nil = sK56 )
| ( ! [X5] :
( ~ leq(X5,sK57)
| ~ memberP(sK56,X5)
| sK57 = X5
| ~ ssItem(X5) )
& memberP(sK56,sK57)
& sK55 = cons(sK57,nil)
& ssItem(sK57) ) )
& ! [X6] :
( ! [X7] :
( ! [X8] :
( ( ~ leq(sK58(X6,X7,X8),X6)
& leq(X6,sK58(X6,X7,X8))
& memberP(X8,sK58(X6,X7,X8))
& memberP(X7,sK58(X6,X7,X8))
& ssItem(sK58(X6,X7,X8)) )
| app(app(X7,cons(X6,nil)),X8) != sK53
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
& nil != sK53
& sK53 = sK55
& sK54 = sK56
& ssList(sK56)
& ssList(sK55)
& ssList(sK54)
& ssList(sK53) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53,sK54,sK55,sK56,sK57,sK58])],[f223,f349,f348,f347,f346,f345,f344]) ).
fof(f443,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f457,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f473,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f536,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f550,plain,
ssList(sK53),
inference(cnf_transformation,[],[f350]) ).
fof(f555,plain,
sK53 = sK55,
inference(cnf_transformation,[],[f350]) ).
fof(f556,plain,
nil != sK53,
inference(cnf_transformation,[],[f350]) ).
fof(f557,plain,
! [X8,X6,X7] :
( ssItem(sK58(X6,X7,X8))
| app(app(X7,cons(X6,nil)),X8) != sK53
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(cnf_transformation,[],[f350]) ).
fof(f558,plain,
! [X8,X6,X7] :
( memberP(X7,sK58(X6,X7,X8))
| app(app(X7,cons(X6,nil)),X8) != sK53
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(cnf_transformation,[],[f350]) ).
fof(f566,plain,
( nil = sK55
| ssItem(sK57) ),
inference(cnf_transformation,[],[f350]) ).
fof(f567,plain,
( nil = sK55
| sK55 = cons(sK57,nil) ),
inference(cnf_transformation,[],[f350]) ).
fof(f573,plain,
! [X8,X6,X7] :
( memberP(X7,sK58(X6,X7,X8))
| app(app(X7,cons(X6,nil)),X8) != sK55
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f558,f555]) ).
fof(f574,plain,
! [X8,X6,X7] :
( ssItem(sK58(X6,X7,X8))
| app(app(X7,cons(X6,nil)),X8) != sK55
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6) ),
inference(definition_unfolding,[],[f557,f555]) ).
fof(f575,plain,
nil != sK55,
inference(definition_unfolding,[],[f556,f555]) ).
fof(f577,plain,
ssList(sK55),
inference(definition_unfolding,[],[f550,f555]) ).
cnf(c_141,plain,
ssList(nil),
inference(cnf_transformation,[],[f443]) ).
cnf(c_155,plain,
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f457]) ).
cnf(c_171,plain,
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f473]) ).
cnf(c_232,plain,
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f536]) ).
cnf(c_248,negated_conjecture,
( cons(sK57,nil) = sK55
| nil = sK55 ),
inference(cnf_transformation,[],[f567]) ).
cnf(c_249,negated_conjecture,
( nil = sK55
| ssItem(sK57) ),
inference(cnf_transformation,[],[f566]) ).
cnf(c_257,negated_conjecture,
( app(app(X0,cons(X1,nil)),X2) != sK55
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X0,sK58(X1,X0,X2)) ),
inference(cnf_transformation,[],[f573]) ).
cnf(c_258,negated_conjecture,
( app(app(X0,cons(X1,nil)),X2) != sK55
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ssItem(sK58(X1,X0,X2)) ),
inference(cnf_transformation,[],[f574]) ).
cnf(c_259,negated_conjecture,
nil != sK55,
inference(cnf_transformation,[],[f575]) ).
cnf(c_263,negated_conjecture,
ssList(sK55),
inference(cnf_transformation,[],[f577]) ).
cnf(c_378,negated_conjecture,
ssItem(sK57),
inference(global_subsumption_just,[status(thm)],[c_249,c_259,c_249]) ).
cnf(c_394,negated_conjecture,
cons(sK57,nil) = sK55,
inference(global_subsumption_just,[status(thm)],[c_248,c_259,c_248]) ).
cnf(c_11978,plain,
( app(app(X0,sK55),X1) != sK55
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(sK57)
| ssItem(sK58(sK57,X0,X1)) ),
inference(superposition,[status(thm)],[c_394,c_258]) ).
cnf(c_11979,plain,
( app(app(X0,sK55),X1) != sK55
| ~ ssList(X0)
| ~ ssList(X1)
| ssItem(sK58(sK57,X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11978,c_378]) ).
cnf(c_12029,plain,
( app(app(X0,sK55),X1) != sK55
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(sK57)
| memberP(X0,sK58(sK57,X0,X1)) ),
inference(superposition,[status(thm)],[c_394,c_257]) ).
cnf(c_12030,plain,
( app(app(X0,sK55),X1) != sK55
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X0,sK58(sK57,X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12029,c_378]) ).
cnf(c_12463,plain,
app(nil,sK55) = sK55,
inference(superposition,[status(thm)],[c_263,c_155]) ).
cnf(c_12522,plain,
( app(sK55,X0) != sK55
| ~ ssList(X0)
| ~ ssList(nil)
| memberP(nil,sK58(sK57,nil,X0)) ),
inference(superposition,[status(thm)],[c_12463,c_12030]) ).
cnf(c_12525,plain,
( app(sK55,X0) != sK55
| ~ ssList(X0)
| ~ ssList(nil)
| ssItem(sK58(sK57,nil,X0)) ),
inference(superposition,[status(thm)],[c_12463,c_11979]) ).
cnf(c_12528,plain,
( app(sK55,X0) != sK55
| ~ ssList(X0)
| ssItem(sK58(sK57,nil,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12525,c_141]) ).
cnf(c_12540,plain,
( app(sK55,X0) != sK55
| ~ ssList(X0)
| memberP(nil,sK58(sK57,nil,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12522,c_141]) ).
cnf(c_12615,plain,
app(sK55,nil) = sK55,
inference(superposition,[status(thm)],[c_263,c_232]) ).
cnf(c_12714,plain,
( ~ ssList(nil)
| memberP(nil,sK58(sK57,nil,nil)) ),
inference(superposition,[status(thm)],[c_12615,c_12540]) ).
cnf(c_12717,plain,
( ~ ssList(nil)
| ssItem(sK58(sK57,nil,nil)) ),
inference(superposition,[status(thm)],[c_12615,c_12528]) ).
cnf(c_12718,plain,
ssItem(sK58(sK57,nil,nil)),
inference(forward_subsumption_resolution,[status(thm)],[c_12717,c_141]) ).
cnf(c_12720,plain,
memberP(nil,sK58(sK57,nil,nil)),
inference(forward_subsumption_resolution,[status(thm)],[c_12714,c_141]) ).
cnf(c_12723,plain,
~ ssItem(sK58(sK57,nil,nil)),
inference(superposition,[status(thm)],[c_12720,c_171]) ).
cnf(c_12724,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_12723,c_12718]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC219+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 14:47:28 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.78/1.19 % SZS status Started for theBenchmark.p
% 3.78/1.19 % SZS status Theorem for theBenchmark.p
% 3.78/1.19
% 3.78/1.19 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.78/1.19
% 3.78/1.19 ------ iProver source info
% 3.78/1.19
% 3.78/1.19 git: date: 2023-05-31 18:12:56 +0000
% 3.78/1.19 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.78/1.19 git: non_committed_changes: false
% 3.78/1.19 git: last_make_outside_of_git: false
% 3.78/1.19
% 3.78/1.19 ------ Parsing...
% 3.78/1.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.78/1.19
% 3.78/1.19 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e
% 3.78/1.19
% 3.78/1.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.78/1.19
% 3.78/1.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.78/1.19 ------ Proving...
% 3.78/1.19 ------ Problem Properties
% 3.78/1.19
% 3.78/1.19
% 3.78/1.19 clauses 192
% 3.78/1.19 conjectures 12
% 3.78/1.19 EPR 55
% 3.78/1.19 Horn 124
% 3.78/1.19 unary 22
% 3.78/1.19 binary 40
% 3.78/1.19 lits 653
% 3.78/1.19 lits eq 86
% 3.78/1.19 fd_pure 0
% 3.78/1.19 fd_pseudo 0
% 3.78/1.19 fd_cond 22
% 3.78/1.19 fd_pseudo_cond 14
% 3.78/1.19 AC symbols 0
% 3.78/1.19
% 3.78/1.19 ------ Schedule dynamic 5 is on
% 3.78/1.19
% 3.78/1.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.78/1.19
% 3.78/1.19
% 3.78/1.19 ------
% 3.78/1.19 Current options:
% 3.78/1.19 ------
% 3.78/1.19
% 3.78/1.19
% 3.78/1.19
% 3.78/1.19
% 3.78/1.19 ------ Proving...
% 3.78/1.19
% 3.78/1.19
% 3.78/1.19 % SZS status Theorem for theBenchmark.p
% 3.78/1.19
% 3.78/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.78/1.19
% 3.78/1.20
%------------------------------------------------------------------------------