TSTP Solution File: SYN072-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN072-1 : 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 : n012.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 19:36:48 EDT 2022
% Result : Unsatisfiable 1.33s 0.56s
% Output : Refutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 5 unt; 0 def)
% Number of atoms : 68 ( 20 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 60 ( 27 ~; 28 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 1 ( 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f61,plain,
$false,
inference(avatar_sat_refutation,[],[f20,f25,f42,f43,f50,f54,f56,f60]) ).
fof(f60,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f59]) ).
fof(f59,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f58,f46]) ).
fof(f46,plain,
( ~ big_p(c)
| ~ spl0_3 ),
inference(superposition,[],[f5,f24]) ).
fof(f24,plain,
( c = e
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f22,plain,
( spl0_3
<=> c = e ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f5,axiom,
~ big_p(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f58,plain,
( big_p(c)
| ~ spl0_1 ),
inference(superposition,[],[f2,f15]) ).
fof(f15,plain,
( c = a
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f13,plain,
( spl0_1
<=> c = a ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f2,axiom,
big_p(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f56,plain,
( ~ spl0_3
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f55]) ).
fof(f55,plain,
( $false
| ~ spl0_3
| ~ spl0_6 ),
inference(resolution,[],[f53,f46]) ).
fof(f53,plain,
( big_p(c)
| ~ spl0_6 ),
inference(superposition,[],[f3,f37]) ).
fof(f37,plain,
( c = b
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f35,plain,
( spl0_6
<=> c = b ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f3,axiom,
big_p(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f54,plain,
( ~ spl0_1
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f52,f35,f13]) ).
fof(f52,plain,
( c != a
| ~ spl0_6 ),
inference(superposition,[],[f4,f37]) ).
fof(f4,axiom,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f50,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f49,f39,f13]) ).
fof(f39,plain,
( spl0_7
<=> d = a ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f49,plain,
( c = a
| spl0_7 ),
inference(trivial_inequality_removal,[],[f48]) ).
fof(f48,plain,
( d != d
| c = a
| spl0_7 ),
inference(superposition,[],[f41,f1]) ).
fof(f1,axiom,
! [X0] :
( d = X0
| c = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f41,plain,
( d != a
| spl0_7 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f43,plain,
( spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f9,f35,f17]) ).
fof(f17,plain,
( spl0_2
<=> big_p(d) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f9,plain,
( c = b
| big_p(d) ),
inference(superposition,[],[f3,f1]) ).
fof(f42,plain,
( spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f8,f39,f35]) ).
fof(f8,plain,
( d != a
| c = b ),
inference(superposition,[],[f4,f1]) ).
fof(f25,plain,
( ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f10,f22,f17]) ).
fof(f10,plain,
( c = e
| ~ big_p(d) ),
inference(superposition,[],[f5,f1]) ).
fof(f20,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f7,f17,f13]) ).
fof(f7,plain,
( big_p(d)
| c = a ),
inference(superposition,[],[f2,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN072-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % 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 : n012.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 : Tue Aug 30 21:27:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.33/0.56 % (3073)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 1.33/0.56 % (3073)First to succeed.
% 1.33/0.56 % (3073)Refutation found. Thanks to Tanya!
% 1.33/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.33/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.33/0.56 % (3073)------------------------------
% 1.33/0.56 % (3073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.56 % (3073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.56 % (3073)Termination reason: Refutation
% 1.33/0.56
% 1.33/0.56 % (3073)Memory used [KB]: 5373
% 1.33/0.56 % (3073)Time elapsed: 0.136 s
% 1.33/0.56 % (3073)Instructions burned: 2 (million)
% 1.33/0.56 % (3073)------------------------------
% 1.33/0.56 % (3073)------------------------------
% 1.33/0.56 % (3061)Success in time 0.206 s
%------------------------------------------------------------------------------