TSTP Solution File: SWC102+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC102+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 : n001.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 18:38:49 EDT 2022
% Result : Theorem 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 12 unt; 0 def)
% Number of atoms : 152 ( 43 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 162 ( 42 ~; 27 |; 78 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 35 ( 11 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f390,plain,
$false,
inference(avatar_sat_refutation,[],[f228,f231,f377]) ).
fof(f377,plain,
spl9_1,
inference(avatar_contradiction_clause,[],[f376]) ).
fof(f376,plain,
( $false
| spl9_1 ),
inference(subsumption_resolution,[],[f234,f223]) ).
fof(f223,plain,
( ~ frontsegP(sK1,sK1)
| spl9_1 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f221,plain,
( spl9_1
<=> frontsegP(sK1,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f234,plain,
frontsegP(sK1,sK1),
inference(unit_resulting_resolution,[],[f179,f158]) ).
fof(f158,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).
fof(f179,plain,
ssList(sK1),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ssList(sK1)
& ssList(sK2)
& ssList(sK3)
& neq(sK2,nil)
& sK3 = sK1
& sK2 = sK4
& ssList(sK4)
& ( ~ frontsegP(sK2,sK1)
| ~ neq(sK1,nil) )
& sK3 = sK4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4])],[f104,f142,f141,f140,f139]) ).
fof(f139,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( neq(X1,nil)
& X0 = X2
& X1 = X3
& ssList(X3)
& ( ~ frontsegP(X1,X0)
| ~ neq(X0,nil) )
& X2 = X3 ) ) ) )
=> ( ssList(sK1)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( neq(X1,nil)
& sK1 = X2
& X1 = X3
& ssList(X3)
& ( ~ frontsegP(X1,sK1)
| ~ neq(sK1,nil) )
& X2 = X3 ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( neq(X1,nil)
& sK1 = X2
& X1 = X3
& ssList(X3)
& ( ~ frontsegP(X1,sK1)
| ~ neq(sK1,nil) )
& X2 = X3 ) ) )
=> ( ssList(sK2)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( neq(sK2,nil)
& sK1 = X2
& sK2 = X3
& ssList(X3)
& ( ~ frontsegP(sK2,sK1)
| ~ neq(sK1,nil) )
& X2 = X3 ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( neq(sK2,nil)
& sK1 = X2
& sK2 = X3
& ssList(X3)
& ( ~ frontsegP(sK2,sK1)
| ~ neq(sK1,nil) )
& X2 = X3 ) )
=> ( ssList(sK3)
& ? [X3] :
( neq(sK2,nil)
& sK3 = sK1
& sK2 = X3
& ssList(X3)
& ( ~ frontsegP(sK2,sK1)
| ~ neq(sK1,nil) )
& sK3 = X3 ) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
( ? [X3] :
( neq(sK2,nil)
& sK3 = sK1
& sK2 = X3
& ssList(X3)
& ( ~ frontsegP(sK2,sK1)
| ~ neq(sK1,nil) )
& sK3 = X3 )
=> ( neq(sK2,nil)
& sK3 = sK1
& sK2 = sK4
& ssList(sK4)
& ( ~ frontsegP(sK2,sK1)
| ~ neq(sK1,nil) )
& sK3 = sK4 ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( neq(X1,nil)
& X0 = X2
& X1 = X3
& ssList(X3)
& ( ~ frontsegP(X1,X0)
| ~ neq(X0,nil) )
& X2 = X3 ) ) ) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ frontsegP(X1,X0)
| ~ neq(X0,nil) )
& X2 = X3
& X1 = X3
& neq(X1,nil)
& X0 = X2
& ssList(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] :
( ssList(X3)
=> ( ( frontsegP(X1,X0)
& neq(X0,nil) )
| X2 != X3
| X1 != X3
| ~ neq(X1,nil)
| X0 != X2 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( frontsegP(X1,X0)
& neq(X0,nil) )
| X2 != X3
| X1 != X3
| ~ neq(X1,nil)
| X0 != X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f231,plain,
spl9_2,
inference(avatar_split_clause,[],[f230,f225]) ).
fof(f225,plain,
( spl9_2
<=> neq(sK1,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f230,plain,
neq(sK1,nil),
inference(forward_demodulation,[],[f204,f206]) ).
fof(f206,plain,
sK4 = sK1,
inference(definition_unfolding,[],[f171,f175]) ).
fof(f175,plain,
sK3 = sK1,
inference(cnf_transformation,[],[f143]) ).
fof(f171,plain,
sK3 = sK4,
inference(cnf_transformation,[],[f143]) ).
fof(f204,plain,
neq(sK4,nil),
inference(definition_unfolding,[],[f176,f174]) ).
fof(f174,plain,
sK2 = sK4,
inference(cnf_transformation,[],[f143]) ).
fof(f176,plain,
neq(sK2,nil),
inference(cnf_transformation,[],[f143]) ).
fof(f228,plain,
( ~ spl9_1
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f219,f225,f221]) ).
fof(f219,plain,
( ~ neq(sK1,nil)
| ~ frontsegP(sK1,sK1) ),
inference(forward_demodulation,[],[f205,f206]) ).
fof(f205,plain,
( ~ frontsegP(sK4,sK1)
| ~ neq(sK1,nil) ),
inference(definition_unfolding,[],[f172,f174]) ).
fof(f172,plain,
( ~ frontsegP(sK2,sK1)
| ~ neq(sK1,nil) ),
inference(cnf_transformation,[],[f143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC102+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n001.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 18:40:02 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.48 % (647)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.49 % (637)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.49 % (627)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)
% 0.21/0.50 % (627)First to succeed.
% 0.21/0.50 % (637)Instruction limit reached!
% 0.21/0.50 % (637)------------------------------
% 0.21/0.50 % (637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50 % (637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50 % (637)Termination reason: Unknown
% 0.21/0.50 % (637)Termination phase: Naming
% 0.21/0.50
% 0.21/0.50 % (637)Memory used [KB]: 1535
% 0.21/0.50 % (637)Time elapsed: 0.005 s
% 0.21/0.50 % (637)Instructions burned: 3 (million)
% 0.21/0.50 % (637)------------------------------
% 0.21/0.50 % (637)------------------------------
% 0.21/0.51 % (627)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Theorem for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (627)------------------------------
% 0.21/0.51 % (627)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (627)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (627)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (627)Memory used [KB]: 6268
% 0.21/0.51 % (627)Time elapsed: 0.093 s
% 0.21/0.51 % (627)Instructions burned: 11 (million)
% 0.21/0.51 % (627)------------------------------
% 0.21/0.51 % (627)------------------------------
% 0.21/0.51 % (619)Success in time 0.145 s
%------------------------------------------------------------------------------