TSTP Solution File: SWC287+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC287+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n026.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 : Wed Aug 31 18:40:09 EDT 2022
% Result : Theorem 0.13s 0.52s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 7 unt; 0 def)
% Number of atoms : 255 ( 87 equ)
% Maximal formula atoms : 32 ( 6 avg)
% Number of connectives : 306 ( 90 ~; 88 |; 112 &)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 59 ( 27 !; 32 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f340,plain,
$false,
inference(avatar_sat_refutation,[],[f313,f320,f327,f331,f339]) ).
fof(f339,plain,
~ spl17_3,
inference(avatar_contradiction_clause,[],[f338]) ).
fof(f338,plain,
( $false
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f337,f261]) ).
fof(f261,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).
fof(f337,plain,
( ~ strictorderedP(nil)
| ~ spl17_3 ),
inference(backward_demodulation,[],[f195,f294]) ).
fof(f294,plain,
( nil = sK0
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f292,plain,
( spl17_3
<=> nil = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f195,plain,
~ strictorderedP(sK0),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
( ( ( ! [X5] :
( ~ memberP(sK3,X5)
| sK4 = X5
| ~ ssItem(X5)
| ~ leq(X5,sK4) )
& cons(sK4,nil) = sK2
& ssItem(sK4)
& memberP(sK3,sK4) )
| ( nil = sK2
& nil = sK3 ) )
& ~ strictorderedP(sK0)
& sK2 = sK0
& ssList(sK3)
& sK1 = sK3
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f139,f153,f152,f151,f150,f149]) ).
fof(f149,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ? [X4] :
( ! [X5] :
( ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5)
| ~ leq(X5,X4) )
& cons(X4,nil) = X2
& ssItem(X4)
& memberP(X3,X4) )
| ( nil = X2
& nil = X3 ) )
& ~ strictorderedP(X0)
& X0 = X2
& ssList(X3)
& X1 = X3 )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ? [X4] :
( ! [X5] :
( ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5)
| ~ leq(X5,X4) )
& cons(X4,nil) = X2
& ssItem(X4)
& memberP(X3,X4) )
| ( nil = X2
& nil = X3 ) )
& ~ strictorderedP(sK0)
& sK0 = X2
& ssList(X3)
& X1 = X3 )
& ssList(X2) )
& ssList(X1) )
& ssList(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ? [X4] :
( ! [X5] :
( ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5)
| ~ leq(X5,X4) )
& cons(X4,nil) = X2
& ssItem(X4)
& memberP(X3,X4) )
| ( nil = X2
& nil = X3 ) )
& ~ strictorderedP(sK0)
& sK0 = X2
& ssList(X3)
& X1 = X3 )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ? [X4] :
( ! [X5] :
( ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5)
| ~ leq(X5,X4) )
& cons(X4,nil) = X2
& ssItem(X4)
& memberP(X3,X4) )
| ( nil = X2
& nil = X3 ) )
& ~ strictorderedP(sK0)
& sK0 = X2
& ssList(X3)
& sK1 = X3 )
& ssList(X2) )
& ssList(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
( ? [X2] :
( ? [X3] :
( ( ? [X4] :
( ! [X5] :
( ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5)
| ~ leq(X5,X4) )
& cons(X4,nil) = X2
& ssItem(X4)
& memberP(X3,X4) )
| ( nil = X2
& nil = X3 ) )
& ~ strictorderedP(sK0)
& sK0 = X2
& ssList(X3)
& sK1 = X3 )
& ssList(X2) )
=> ( ? [X3] :
( ( ? [X4] :
( ! [X5] :
( ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5)
| ~ leq(X5,X4) )
& cons(X4,nil) = sK2
& ssItem(X4)
& memberP(X3,X4) )
| ( nil = sK2
& nil = X3 ) )
& ~ strictorderedP(sK0)
& sK2 = sK0
& ssList(X3)
& sK1 = X3 )
& ssList(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
( ? [X3] :
( ( ? [X4] :
( ! [X5] :
( ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5)
| ~ leq(X5,X4) )
& cons(X4,nil) = sK2
& ssItem(X4)
& memberP(X3,X4) )
| ( nil = sK2
& nil = X3 ) )
& ~ strictorderedP(sK0)
& sK2 = sK0
& ssList(X3)
& sK1 = X3 )
=> ( ( ? [X4] :
( ! [X5] :
( ~ memberP(sK3,X5)
| X4 = X5
| ~ ssItem(X5)
| ~ leq(X5,X4) )
& cons(X4,nil) = sK2
& ssItem(X4)
& memberP(sK3,X4) )
| ( nil = sK2
& nil = sK3 ) )
& ~ strictorderedP(sK0)
& sK2 = sK0
& ssList(sK3)
& sK1 = sK3 ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
( ? [X4] :
( ! [X5] :
( ~ memberP(sK3,X5)
| X4 = X5
| ~ ssItem(X5)
| ~ leq(X5,X4) )
& cons(X4,nil) = sK2
& ssItem(X4)
& memberP(sK3,X4) )
=> ( ! [X5] :
( ~ memberP(sK3,X5)
| sK4 = X5
| ~ ssItem(X5)
| ~ leq(X5,sK4) )
& cons(sK4,nil) = sK2
& ssItem(sK4)
& memberP(sK3,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ? [X4] :
( ! [X5] :
( ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5)
| ~ leq(X5,X4) )
& cons(X4,nil) = X2
& ssItem(X4)
& memberP(X3,X4) )
| ( nil = X2
& nil = X3 ) )
& ~ strictorderedP(X0)
& X0 = X2
& ssList(X3)
& X1 = X3 )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( X1 != X3
| ( ( nil != X3
| nil != X2 )
& ! [X4] :
( ? [X5] :
( ssItem(X5)
& X4 != X5
& leq(X5,X4)
& memberP(X3,X5) )
| ~ ssItem(X4)
| ~ memberP(X3,X4)
| cons(X4,nil) != X2 ) )
| ~ ssList(X3)
| X0 != X2
| strictorderedP(X0) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( X1 != X3
| ( ( nil != X3
| nil != X2 )
& ! [X4] :
( ? [X5] :
( ssItem(X5)
& X4 != X5
& leq(X5,X4)
& memberP(X3,X5) )
| ~ ssItem(X4)
| ~ memberP(X3,X4)
| cons(X4,nil) != X2 ) )
| ~ ssList(X3)
| X0 != X2
| strictorderedP(X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f331,plain,
( ~ spl17_2
| ~ spl17_8
| ~ spl17_9 ),
inference(avatar_contradiction_clause,[],[f330]) ).
fof(f330,plain,
( $false
| ~ spl17_2
| ~ spl17_8
| ~ spl17_9 ),
inference(subsumption_resolution,[],[f329,f318]) ).
fof(f318,plain,
( ssItem(sK4)
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f316,plain,
( spl17_8
<=> ssItem(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).
fof(f329,plain,
( ~ ssItem(sK4)
| ~ spl17_2
| ~ spl17_9 ),
inference(subsumption_resolution,[],[f328,f195]) ).
fof(f328,plain,
( strictorderedP(sK0)
| ~ ssItem(sK4)
| ~ spl17_2
| ~ spl17_9 ),
inference(superposition,[],[f324,f289]) ).
fof(f289,plain,
( cons(sK4,nil) = sK0
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f287,plain,
( spl17_2
<=> cons(sK4,nil) = sK0 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
fof(f324,plain,
( ! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl17_9 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f323,plain,
( spl17_9
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_9])]) ).
fof(f327,plain,
spl17_9,
inference(avatar_split_clause,[],[f247,f323]) ).
fof(f247,plain,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( ssItem(X0)
=> strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax68) ).
fof(f320,plain,
( spl17_3
| spl17_8 ),
inference(avatar_split_clause,[],[f267,f316,f292]) ).
fof(f267,plain,
( ssItem(sK4)
| nil = sK0 ),
inference(definition_unfolding,[],[f199,f194]) ).
fof(f194,plain,
sK2 = sK0,
inference(cnf_transformation,[],[f154]) ).
fof(f199,plain,
( ssItem(sK4)
| nil = sK2 ),
inference(cnf_transformation,[],[f154]) ).
fof(f313,plain,
( spl17_3
| spl17_2 ),
inference(avatar_split_clause,[],[f265,f287,f292]) ).
fof(f265,plain,
( cons(sK4,nil) = sK0
| nil = sK0 ),
inference(definition_unfolding,[],[f201,f194,f194]) ).
fof(f201,plain,
( cons(sK4,nil) = sK2
| nil = sK2 ),
inference(cnf_transformation,[],[f154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWC287+1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.29 % Computer : n026.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Aug 30 18:57:21 EDT 2022
% 0.09/0.29 % CPUTime :
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% 0.13/0.50 % (4953)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.13/0.51 % (4978)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.13/0.51 % (4958)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.13/0.52 % (4970)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.13/0.52 % (4978)First to succeed.
% 0.13/0.52 % (4960)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.13/0.52 % (4978)Refutation found. Thanks to Tanya!
% 0.13/0.52 % SZS status Theorem for theBenchmark
% 0.13/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.52 % (4978)------------------------------
% 0.13/0.52 % (4978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.13/0.52 % (4978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.13/0.52 % (4978)Termination reason: Refutation
% 0.13/0.52
% 0.13/0.52 % (4978)Memory used [KB]: 6140
% 0.13/0.52 % (4978)Time elapsed: 0.083 s
% 0.13/0.52 % (4978)Instructions burned: 7 (million)
% 0.13/0.52 % (4978)------------------------------
% 0.13/0.52 % (4978)------------------------------
% 0.13/0.52 % (4819)Success in time 0.228 s
%------------------------------------------------------------------------------