TSTP Solution File: SYN084-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN084-2 : TPTP v8.1.0. Released v1.2.0.
% 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 : n013.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 19:36:52 EDT 2022
% Result : Unsatisfiable 0.18s 0.43s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of formulae : 49 ( 6 unt; 0 def)
% Number of atoms : 108 ( 4 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 100 ( 41 ~; 53 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f78,plain,
$false,
inference(avatar_sat_refutation,[],[f24,f33,f43,f44,f51,f60,f72,f77]) ).
fof(f77,plain,
( spl4_1
| ~ spl4_4 ),
inference(avatar_contradiction_clause,[],[f76]) ).
fof(f76,plain,
( $false
| spl4_1
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f75,f19]) ).
fof(f19,plain,
( ~ big_p(sF2)
| spl4_1 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f17,plain,
( spl4_1
<=> big_p(sF2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f75,plain,
( big_p(sF2)
| ~ spl4_4 ),
inference(forward_demodulation,[],[f74,f11]) ).
fof(f11,plain,
f(sF1) = sF2,
introduced(function_definition,[]) ).
fof(f74,plain,
( big_p(f(sF1))
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f67,f32]) ).
fof(f32,plain,
( big_p(sF1)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl4_4
<=> big_p(sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f67,plain,
( big_p(f(sF1))
| ~ big_p(sF1) ),
inference(superposition,[],[f45,f9]) ).
fof(f9,plain,
f(sk2) = sF1,
introduced(function_definition,[]) ).
fof(f45,plain,
! [X0] :
( big_p(f(f(X0)))
| ~ big_p(f(X0)) ),
inference(subsumption_resolution,[],[f3,f1]) ).
fof(f1,axiom,
big_p(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_1) ).
fof(f3,axiom,
! [X0] :
( big_p(f(f(X0)))
| ~ big_p(f(X0))
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_3) ).
fof(f72,plain,
( spl4_2
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f71,f40,f21]) ).
fof(f21,plain,
( spl4_2
<=> big_p(sF3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f40,plain,
( spl4_6
<=> big_p(sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f71,plain,
( big_p(sF3)
| ~ spl4_6 ),
inference(forward_demodulation,[],[f70,f13]) ).
fof(f13,plain,
f(sF0) = sF3,
introduced(function_definition,[]) ).
fof(f70,plain,
( big_p(f(sF0))
| ~ spl4_6 ),
inference(subsumption_resolution,[],[f66,f42]) ).
fof(f42,plain,
( big_p(sF0)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f66,plain,
( big_p(f(sF0))
| ~ big_p(sF0) ),
inference(superposition,[],[f45,f8]) ).
fof(f8,plain,
f(sk1) = sF0,
introduced(function_definition,[]) ).
fof(f60,plain,
( spl4_1
| spl4_3 ),
inference(avatar_contradiction_clause,[],[f59]) ).
fof(f59,plain,
( $false
| spl4_1
| spl4_3 ),
inference(subsumption_resolution,[],[f58,f19]) ).
fof(f58,plain,
( big_p(sF2)
| spl4_3 ),
inference(forward_demodulation,[],[f57,f11]) ).
fof(f57,plain,
( big_p(f(sF1))
| spl4_3 ),
inference(subsumption_resolution,[],[f47,f28]) ).
fof(f28,plain,
( ~ big_p(sk2)
| spl4_3 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f26,plain,
( spl4_3
<=> big_p(sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f47,plain,
( big_p(f(sF1))
| big_p(sk2) ),
inference(superposition,[],[f34,f9]) ).
fof(f34,plain,
! [X0] :
( big_p(f(f(X0)))
| big_p(X0) ),
inference(subsumption_resolution,[],[f2,f1]) ).
fof(f2,axiom,
! [X0] :
( big_p(f(f(X0)))
| ~ big_p(a)
| big_p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_2) ).
fof(f51,plain,
( spl4_5
| spl4_2 ),
inference(avatar_split_clause,[],[f50,f21,f36]) ).
fof(f36,plain,
( spl4_5
<=> big_p(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f50,plain,
( big_p(sF3)
| big_p(sk1) ),
inference(forward_demodulation,[],[f46,f13]) ).
fof(f46,plain,
( big_p(sk1)
| big_p(f(sF0)) ),
inference(superposition,[],[f34,f8]) ).
fof(f44,plain,
( spl4_4
| ~ spl4_5
| spl4_6
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f10,f26,f40,f36,f30]) ).
fof(f10,plain,
( ~ big_p(sk2)
| big_p(sF0)
| ~ big_p(sk1)
| big_p(sF1) ),
inference(definition_folding,[],[f5,f9,f8]) ).
fof(f5,axiom,
( big_p(f(sk1))
| big_p(f(sk2))
| ~ big_p(sk1)
| ~ big_p(sk2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_5) ).
fof(f43,plain,
( ~ spl4_1
| ~ spl4_5
| spl4_6 ),
inference(avatar_split_clause,[],[f12,f40,f36,f17]) ).
fof(f12,plain,
( big_p(sF0)
| ~ big_p(sk1)
| ~ big_p(sF2) ),
inference(definition_folding,[],[f6,f11,f9,f8]) ).
fof(f6,axiom,
( ~ big_p(sk1)
| big_p(f(sk1))
| ~ big_p(f(f(sk2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_6) ).
fof(f33,plain,
( ~ spl4_3
| spl4_4
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f15,f21,f30,f26]) ).
fof(f15,plain,
( ~ big_p(sF3)
| big_p(sF1)
| ~ big_p(sk2) ),
inference(definition_folding,[],[f7,f13,f8,f9]) ).
fof(f7,axiom,
( ~ big_p(sk2)
| big_p(f(sk2))
| ~ big_p(f(f(sk1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_7) ).
fof(f24,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f14,f21,f17]) ).
fof(f14,plain,
( ~ big_p(sF3)
| ~ big_p(sF2) ),
inference(definition_folding,[],[f4,f11,f9,f13,f8]) ).
fof(f4,axiom,
( ~ big_p(f(f(sk1)))
| ~ big_p(f(f(sk2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN084-2 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 21:26:02 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.42 % (20985)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/101Mi)
% 0.18/0.43 % (20977)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.43 % (20985)First to succeed.
% 0.18/0.43 % (20985)Refutation found. Thanks to Tanya!
% 0.18/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.44 % (20985)------------------------------
% 0.18/0.44 % (20985)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.44 % (20985)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.44 % (20985)Termination reason: Refutation
% 0.18/0.44
% 0.18/0.44 % (20985)Memory used [KB]: 5373
% 0.18/0.44 % (20985)Time elapsed: 0.066 s
% 0.18/0.44 % (20985)Instructions burned: 2 (million)
% 0.18/0.44 % (20985)------------------------------
% 0.18/0.44 % (20985)------------------------------
% 0.18/0.44 % (20972)Success in time 0.099 s
%------------------------------------------------------------------------------