TSTP Solution File: CAT019-3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : CAT019-3 : 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_sat --cores 0 -t %d %s
% Computer : n020.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 15:51:20 EDT 2022
% Result : Unsatisfiable 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 3 unt; 0 def)
% Number of atoms : 61 ( 24 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 49 ( 13 ~; 33 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f212,plain,
$false,
inference(avatar_sat_refutation,[],[f34,f35,f40,f211]) ).
fof(f211,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f210]) ).
fof(f210,plain,
( $false
| spl0_1
| spl0_2
| spl0_3 ),
inference(subsumption_resolution,[],[f209,f28]) ).
fof(f28,plain,
( a != b
| spl0_1 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f27,plain,
( spl0_1
<=> a = b ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f209,plain,
( a = b
| spl0_2
| spl0_3 ),
inference(resolution,[],[f195,f39]) ).
fof(f39,plain,
( ~ there_exists(b)
| spl0_3 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl0_3
<=> there_exists(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f195,plain,
( ! [X3] :
( there_exists(X3)
| a = X3 )
| spl0_2 ),
inference(duplicate_literal_removal,[],[f194]) ).
fof(f194,plain,
( ! [X3] :
( there_exists(X3)
| a = X3
| a = X3 )
| spl0_2 ),
inference(superposition,[],[f15,f189]) ).
fof(f189,plain,
( ! [X25] :
( f1(a,X25) = X25
| a = X25 )
| spl0_2 ),
inference(resolution,[],[f114,f33]) ).
fof(f33,plain,
( ~ there_exists(a)
| spl0_2 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl0_2
<=> there_exists(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f114,plain,
! [X0,X1] :
( there_exists(X0)
| f1(X0,X1) = X1
| X0 = X1 ),
inference(duplicate_literal_removal,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( there_exists(X0)
| X0 = X1
| X0 = X1
| f1(X0,X1) = X1 ),
inference(superposition,[],[f15,f16]) ).
fof(f16,axiom,
! [X0,X1] :
( f1(X0,X1) = X1
| f1(X0,X1) = X0
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',indiscernibles2) ).
fof(f15,axiom,
! [X0,X1] :
( there_exists(f1(X0,X1))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',indiscernibles1) ).
fof(f40,plain,
( spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f24,f37,f27]) ).
fof(f24,plain,
( ~ there_exists(b)
| a = b ),
inference(equality_resolution,[],[f19]) ).
fof(f19,axiom,
! [X2] :
( a = X2
| b != X2
| ~ there_exists(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality_of_a_and_b2) ).
fof(f35,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f20,f27]) ).
fof(f20,axiom,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_equals_b) ).
fof(f34,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f22,f31,f27]) ).
fof(f22,plain,
( ~ there_exists(a)
| a = b ),
inference(equality_resolution,[],[f18]) ).
fof(f18,axiom,
! [X2] :
( a != X2
| b = X2
| ~ there_exists(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality_of_a_and_b1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT019-3 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 16:22:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.53 % (30197)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53 % (30189)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (30189)First to succeed.
% 0.19/0.55 % (30189)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (30189)------------------------------
% 0.19/0.55 % (30189)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (30189)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (30189)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (30189)Memory used [KB]: 5500
% 0.19/0.55 % (30189)Time elapsed: 0.106 s
% 0.19/0.55 % (30189)Instructions burned: 10 (million)
% 0.19/0.55 % (30189)------------------------------
% 0.19/0.55 % (30189)------------------------------
% 0.19/0.55 % (30175)Success in time 0.201 s
%------------------------------------------------------------------------------