TSTP Solution File: SYN056+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN056+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n018.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 19:36:42 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 25
% Syntax : Number of formulae : 97 ( 1 unt; 0 def)
% Number of atoms : 282 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 327 ( 142 ~; 128 |; 20 &)
% ( 26 <=>; 10 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 19 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 77 ( 61 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f121,plain,
$false,
inference(avatar_sat_refutation,[],[f45,f53,f61,f69,f74,f78,f86,f91,f92,f93,f101,f102,f104,f106,f108,f111,f112,f114,f117,f120]) ).
fof(f120,plain,
( spl7_2
| ~ spl7_8
| ~ spl7_13 ),
inference(avatar_contradiction_clause,[],[f119]) ).
fof(f119,plain,
( $false
| spl7_2
| ~ spl7_8
| ~ spl7_13 ),
inference(subsumption_resolution,[],[f118,f90]) ).
fof(f90,plain,
( big_q(sK1)
| ~ spl7_13 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl7_13
<=> big_q(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_13])]) ).
fof(f118,plain,
( ~ big_q(sK1)
| spl7_2
| ~ spl7_8 ),
inference(resolution,[],[f68,f44]) ).
fof(f44,plain,
( ~ big_s(sK1)
| spl7_2 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl7_2
<=> big_s(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f68,plain,
( ! [X1] :
( big_s(X1)
| ~ big_q(X1) )
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl7_8
<=> ! [X1] :
( ~ big_q(X1)
| big_s(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_8])]) ).
fof(f117,plain,
( spl7_1
| ~ spl7_9
| ~ spl7_12 ),
inference(avatar_contradiction_clause,[],[f116]) ).
fof(f116,plain,
( $false
| spl7_1
| ~ spl7_9
| ~ spl7_12 ),
inference(subsumption_resolution,[],[f115,f73]) ).
fof(f73,plain,
( big_p(sK0)
| ~ spl7_9 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl7_9
<=> big_p(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_9])]) ).
fof(f115,plain,
( ~ big_p(sK0)
| spl7_1
| ~ spl7_12 ),
inference(resolution,[],[f85,f40]) ).
fof(f40,plain,
( ~ big_r(sK0)
| spl7_1 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f38,plain,
( spl7_1
<=> big_r(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f85,plain,
( ! [X2] :
( big_r(X2)
| ~ big_p(X2) )
| ~ spl7_12 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl7_12
<=> ! [X2] :
( big_r(X2)
| ~ big_p(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_12])]) ).
fof(f114,plain,
( ~ spl7_4
| ~ spl7_13 ),
inference(avatar_contradiction_clause,[],[f113]) ).
fof(f113,plain,
( $false
| ~ spl7_4
| ~ spl7_13 ),
inference(subsumption_resolution,[],[f90,f52]) ).
fof(f52,plain,
( ! [X1] : ~ big_q(X1)
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl7_4
<=> ! [X1] : ~ big_q(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).
fof(f112,plain,
( ~ spl7_3
| ~ spl7_15 ),
inference(avatar_contradiction_clause,[],[f110]) ).
fof(f110,plain,
( $false
| ~ spl7_3
| ~ spl7_15 ),
inference(resolution,[],[f100,f49]) ).
fof(f49,plain,
( big_p(sK2)
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl7_3
<=> big_p(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
fof(f100,plain,
( ! [X3] : ~ big_p(X3)
| ~ spl7_15 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl7_15
<=> ! [X3] : ~ big_p(X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_15])]) ).
fof(f111,plain,
( ~ spl7_9
| ~ spl7_15 ),
inference(avatar_contradiction_clause,[],[f109]) ).
fof(f109,plain,
( $false
| ~ spl7_9
| ~ spl7_15 ),
inference(resolution,[],[f100,f73]) ).
fof(f108,plain,
( spl7_15
| ~ spl7_10
| ~ spl7_12 ),
inference(avatar_split_clause,[],[f107,f84,f76,f99]) ).
fof(f76,plain,
( spl7_10
<=> ! [X0] :
( ~ big_p(X0)
| ~ big_r(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).
fof(f107,plain,
( ! [X0] : ~ big_p(X0)
| ~ spl7_10
| ~ spl7_12 ),
inference(subsumption_resolution,[],[f77,f85]) ).
fof(f77,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(X0) )
| ~ spl7_10 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f106,plain,
( ~ spl7_4
| ~ spl7_14 ),
inference(avatar_contradiction_clause,[],[f105]) ).
fof(f105,plain,
( $false
| ~ spl7_4
| ~ spl7_14 ),
inference(resolution,[],[f97,f52]) ).
fof(f97,plain,
( big_q(sK3)
| ~ spl7_14 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f95,plain,
( spl7_14
<=> big_q(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_14])]) ).
fof(f104,plain,
( spl7_4
| ~ spl7_6
| ~ spl7_8 ),
inference(avatar_split_clause,[],[f103,f67,f59,f51]) ).
fof(f59,plain,
( spl7_6
<=> ! [X1] :
( ~ big_q(X1)
| ~ big_s(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).
fof(f103,plain,
( ! [X1] : ~ big_q(X1)
| ~ spl7_6
| ~ spl7_8 ),
inference(subsumption_resolution,[],[f68,f60]) ).
fof(f60,plain,
( ! [X1] :
( ~ big_s(X1)
| ~ big_q(X1) )
| ~ spl7_6 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f102,plain,
( spl7_12
| spl7_5 ),
inference(avatar_split_clause,[],[f35,f55,f84]) ).
fof(f55,plain,
( spl7_5
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).
fof(f35,plain,
! [X0] :
( sP6
| big_r(X0)
| ~ big_p(X0) ),
inference(cnf_transformation,[],[f35_D]) ).
fof(f35_D,plain,
( ! [X0] :
( big_r(X0)
| ~ big_p(X0) )
<=> ~ sP6 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])]) ).
fof(f101,plain,
( spl7_14
| spl7_15 ),
inference(avatar_split_clause,[],[f27,f99,f95]) ).
fof(f27,plain,
! [X3] :
( ~ big_p(X3)
| big_q(sK3) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
( ( big_p(sK2)
| ! [X1] : ~ big_q(X1) )
& ( big_q(sK3)
| ! [X3] : ~ big_p(X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f16,f18,f17]) ).
fof(f17,plain,
( ? [X0] : big_p(X0)
=> big_p(sK2) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
( ? [X2] : big_q(X2)
=> big_q(sK3) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ( ? [X0] : big_p(X0)
| ! [X1] : ~ big_q(X1) )
& ( ? [X2] : big_q(X2)
| ! [X3] : ~ big_p(X3) ) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
( ( ? [X1] : big_p(X1)
| ! [X0] : ~ big_q(X0) )
& ( ? [X0] : big_q(X0)
| ! [X1] : ~ big_p(X1) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f5,plain,
( ? [X1] : big_p(X1)
<=> ? [X0] : big_q(X0) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
( ? [X1] : big_q(X1)
<=> ? [X0] : big_p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel26_1) ).
fof(f93,plain,
( spl7_13
| spl7_9 ),
inference(avatar_split_clause,[],[f24,f71,f88]) ).
fof(f24,plain,
( big_p(sK0)
| big_q(sK1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
( ( ( ~ big_r(sK0)
& big_p(sK0) )
| ( big_q(sK1)
& ~ big_s(sK1) ) )
& ( ! [X2] :
( big_r(X2)
| ~ big_p(X2) )
| ! [X3] :
( ~ big_q(X3)
| big_s(X3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f11,f13,f12]) ).
fof(f12,plain,
( ? [X0] :
( ~ big_r(X0)
& big_p(X0) )
=> ( ~ big_r(sK0)
& big_p(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
( ? [X1] :
( big_q(X1)
& ~ big_s(X1) )
=> ( big_q(sK1)
& ~ big_s(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
( ( ? [X0] :
( ~ big_r(X0)
& big_p(X0) )
| ? [X1] :
( big_q(X1)
& ~ big_s(X1) ) )
& ( ! [X2] :
( big_r(X2)
| ~ big_p(X2) )
| ! [X3] :
( ~ big_q(X3)
| big_s(X3) ) ) ),
inference(rectify,[],[f10]) ).
fof(f10,plain,
( ( ? [X0] :
( ~ big_r(X0)
& big_p(X0) )
| ? [X1] :
( big_q(X1)
& ~ big_s(X1) ) )
& ( ! [X0] :
( big_r(X0)
| ~ big_p(X0) )
| ! [X1] :
( ~ big_q(X1)
| big_s(X1) ) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
( ! [X1] :
( ~ big_q(X1)
| big_s(X1) )
<~> ! [X0] :
( big_r(X0)
| ~ big_p(X0) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,negated_conjecture,
~ ( ! [X1] :
( big_q(X1)
=> big_s(X1) )
<=> ! [X0] :
( big_p(X0)
=> big_r(X0) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
( ! [X1] :
( big_q(X1)
=> big_s(X1) )
<=> ! [X0] :
( big_p(X0)
=> big_r(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel26) ).
fof(f92,plain,
( ~ spl7_11
| spl7_8 ),
inference(avatar_split_clause,[],[f32,f67,f80]) ).
fof(f80,plain,
( spl7_11
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl7_11])]) ).
fof(f32,plain,
! [X3] :
( big_s(X3)
| ~ sP4
| ~ big_q(X3) ),
inference(general_splitting,[],[f22,f31_D]) ).
fof(f31,plain,
! [X2] :
( big_r(X2)
| sP4
| ~ big_p(X2) ),
inference(cnf_transformation,[],[f31_D]) ).
fof(f31_D,plain,
( ! [X2] :
( big_r(X2)
| ~ big_p(X2) )
<=> ~ sP4 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f22,plain,
! [X2,X3] :
( big_r(X2)
| ~ big_p(X2)
| ~ big_q(X3)
| big_s(X3) ),
inference(cnf_transformation,[],[f14]) ).
fof(f91,plain,
( spl7_13
| ~ spl7_1 ),
inference(avatar_split_clause,[],[f26,f38,f88]) ).
fof(f26,plain,
( ~ big_r(sK0)
| big_q(sK1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f86,plain,
( spl7_11
| spl7_12 ),
inference(avatar_split_clause,[],[f31,f84,f80]) ).
fof(f78,plain,
( spl7_7
| spl7_10 ),
inference(avatar_split_clause,[],[f33,f76,f63]) ).
fof(f63,plain,
( spl7_7
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).
fof(f33,plain,
! [X0] :
( ~ big_p(X0)
| sP5
| ~ big_r(X0) ),
inference(cnf_transformation,[],[f33_D]) ).
fof(f33_D,plain,
( ! [X0] :
( ~ big_p(X0)
| ~ big_r(X0) )
<=> ~ sP5 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).
fof(f74,plain,
( spl7_9
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f23,f42,f71]) ).
fof(f23,plain,
( ~ big_s(sK1)
| big_p(sK0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f69,plain,
( ~ spl7_7
| spl7_8 ),
inference(avatar_split_clause,[],[f34,f67,f63]) ).
fof(f34,plain,
! [X1] :
( ~ big_q(X1)
| big_s(X1)
| ~ sP5 ),
inference(general_splitting,[],[f30,f33_D]) ).
fof(f30,plain,
! [X0,X1] :
( ~ big_p(X0)
| big_s(X1)
| ~ big_r(X0)
| ~ big_q(X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ~ big_p(X0)
| ( ( big_s(X1)
| ~ big_r(X0) )
& ( big_r(X0)
| ~ big_s(X1) ) )
| ~ big_q(X1) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X1,X0] :
( ~ big_p(X1)
| ( ( big_s(X0)
| ~ big_r(X1) )
& ( big_r(X1)
| ~ big_s(X0) ) )
| ~ big_q(X0) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X1,X0] :
( ~ big_p(X1)
| ( big_s(X0)
<=> big_r(X1) )
| ~ big_q(X0) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
! [X0,X1] :
( ( big_s(X0)
<=> big_r(X1) )
| ~ big_q(X0)
| ~ big_p(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
! [X0,X1] :
( ( big_q(X0)
& big_p(X1) )
=> ( big_s(X0)
<=> big_r(X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ( big_q(X1)
& big_p(X0) )
=> ( big_r(X0)
<=> big_s(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel26_2) ).
fof(f61,plain,
( ~ spl7_5
| spl7_6 ),
inference(avatar_split_clause,[],[f36,f59,f55]) ).
fof(f36,plain,
! [X1] :
( ~ big_q(X1)
| ~ sP6
| ~ big_s(X1) ),
inference(general_splitting,[],[f29,f35_D]) ).
fof(f29,plain,
! [X0,X1] :
( ~ big_p(X0)
| big_r(X0)
| ~ big_s(X1)
| ~ big_q(X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f53,plain,
( spl7_3
| spl7_4 ),
inference(avatar_split_clause,[],[f28,f51,f47]) ).
fof(f28,plain,
! [X1] :
( ~ big_q(X1)
| big_p(sK2) ),
inference(cnf_transformation,[],[f19]) ).
fof(f45,plain,
( ~ spl7_1
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f25,f42,f38]) ).
fof(f25,plain,
( ~ big_s(sK1)
| ~ big_r(sK0) ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN056+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 21:33:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (11659)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99Mi)
% 0.19/0.49 % (11667)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.19/0.49 % (11667)First to succeed.
% 0.19/0.50 % (11667)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (11667)------------------------------
% 0.19/0.50 % (11667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (11667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (11667)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (11667)Memory used [KB]: 5373
% 0.19/0.50 % (11667)Time elapsed: 0.099 s
% 0.19/0.50 % (11667)Instructions burned: 2 (million)
% 0.19/0.50 % (11667)------------------------------
% 0.19/0.50 % (11667)------------------------------
% 0.19/0.50 % (11645)Success in time 0.147 s
%------------------------------------------------------------------------------