TSTP Solution File: SET047-5 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SET047-5 : TPTP v8.1.0. Released v1.0.0.
% 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 : n002.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 18:18:46 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 1 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 68 ( 28 ~; 38 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f70,plain,
$false,
inference(avatar_sat_refutation,[],[f15,f16,f66,f69]) ).
fof(f69,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f68]) ).
fof(f68,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f67,f13]) ).
fof(f13,plain,
( ~ set_equal(b,a)
| spl0_2 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f12,plain,
( spl0_2
<=> set_equal(b,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f67,plain,
( set_equal(b,a)
| ~ spl0_1 ),
inference(resolution,[],[f10,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ set_equal(X1,X0)
| set_equal(X0,X1) ),
inference(subsumption_resolution,[],[f61,f18]) ).
fof(f18,plain,
! [X3,X4,X5] :
( element(f(X3,X4),X5)
| element(f(X3,X4),X3)
| ~ set_equal(X4,X5)
| set_equal(X3,X4) ),
inference(resolution,[],[f3,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ element(X2,X0)
| element(X2,X1)
| ~ set_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_substitution1) ).
fof(f3,axiom,
! [X0,X1] :
( element(f(X0,X1),X1)
| element(f(X0,X1),X0)
| set_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f61,plain,
! [X0,X1] :
( ~ element(f(X0,X1),X0)
| ~ set_equal(X1,X0)
| set_equal(X0,X1) ),
inference(duplicate_literal_removal,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ element(f(X0,X1),X0)
| ~ set_equal(X1,X0)
| set_equal(X0,X1)
| set_equal(X0,X1) ),
inference(resolution,[],[f51,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ element(f(X0,X1),X1)
| set_equal(X0,X1)
| ~ element(f(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f51,plain,
! [X0,X1] :
( element(f(X0,X1),X1)
| set_equal(X0,X1)
| ~ set_equal(X1,X0) ),
inference(factoring,[],[f19]) ).
fof(f19,plain,
! [X2,X0,X1] :
( element(f(X0,X1),X2)
| element(f(X0,X1),X1)
| ~ set_equal(X2,X0)
| set_equal(X0,X1) ),
inference(resolution,[],[f3,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ element(X2,X1)
| element(X2,X0)
| ~ set_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_substitution2) ).
fof(f10,plain,
( set_equal(a,b)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f8,plain,
( spl0_1
<=> set_equal(a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f66,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f65]) ).
fof(f65,plain,
( $false
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f63,f9]) ).
fof(f9,plain,
( ~ set_equal(a,b)
| spl0_1 ),
inference(avatar_component_clause,[],[f8]) ).
fof(f63,plain,
( set_equal(a,b)
| ~ spl0_2 ),
inference(resolution,[],[f62,f14]) ).
fof(f14,plain,
( set_equal(b,a)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f16,plain,
( ~ spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f6,f8,f12]) ).
fof(f6,axiom,
( ~ set_equal(a,b)
| ~ set_equal(b,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_symmetry2) ).
fof(f15,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f5,f12,f8]) ).
fof(f5,axiom,
( set_equal(b,a)
| set_equal(a,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_symmetry1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET047-5 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n002.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 13:15:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (11373)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.50 % (11380)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (11388)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.51 % (11380)Refutation not found, incomplete strategy% (11380)------------------------------
% 0.19/0.51 % (11380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (11380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (11380)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51
% 0.19/0.51 % (11380)Memory used [KB]: 5756
% 0.19/0.51 % (11380)Time elapsed: 0.099 s
% 0.19/0.51 % (11380)Instructions burned: 1 (million)
% 0.19/0.51 % (11380)------------------------------
% 0.19/0.51 % (11380)------------------------------
% 0.19/0.51 % (11384)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.51 % (11373)First to succeed.
% 0.19/0.51 % (11373)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (11373)------------------------------
% 0.19/0.51 % (11373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (11373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (11373)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (11373)Memory used [KB]: 5756
% 0.19/0.51 % (11373)Time elapsed: 0.103 s
% 0.19/0.51 % (11373)Instructions burned: 2 (million)
% 0.19/0.51 % (11373)------------------------------
% 0.19/0.51 % (11373)------------------------------
% 0.19/0.51 % (11372)Success in time 0.165 s
%------------------------------------------------------------------------------