TSTP Solution File: SYN212-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN212-1 : TPTP v8.1.0. Released v1.1.0.
% 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 : n029.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 19:37:12 EDT 2022
% Result : Unsatisfiable 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 28
% Syntax : Number of formulae : 68 ( 14 unt; 0 def)
% Number of atoms : 142 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 139 ( 65 ~; 59 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 15 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2522,plain,
$false,
inference(avatar_sat_refutation,[],[f1291,f1437,f1825,f1827,f2074,f2086,f2127,f2205,f2221,f2395,f2404,f2476,f2517,f2521]) ).
fof(f2521,plain,
~ spl113_370,
inference(avatar_contradiction_clause,[],[f2520]) ).
fof(f2520,plain,
( $false
| ~ spl113_370 ),
inference(resolution,[],[f2475,f369]) ).
fof(f369,axiom,
~ s4(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f2475,plain,
( s4(e)
| ~ spl113_370 ),
inference(avatar_component_clause,[],[f2473]) ).
fof(f2473,plain,
( spl113_370
<=> s4(e) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_370])]) ).
fof(f2517,plain,
( ~ spl113_76
| ~ spl113_369 ),
inference(avatar_split_clause,[],[f2516,f2469,f907]) ).
fof(f907,plain,
( spl113_76
<=> n2(e) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_76])]) ).
fof(f2469,plain,
( spl113_369
<=> sP18(e) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_369])]) ).
fof(f2516,plain,
( ~ n2(e)
| ~ spl113_369 ),
inference(resolution,[],[f2471,f2248]) ).
fof(f2248,plain,
! [X0] :
( ~ sP18(X0)
| ~ n2(X0) ),
inference(resolution,[],[f407,f282]) ).
fof(f282,axiom,
! [X5] :
( p3(X5,X5,X5)
| ~ n2(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_244) ).
fof(f407,plain,
! [X11,X6,X7] :
( ~ p3(X11,X6,X7)
| ~ sP18(X6) ),
inference(general_splitting,[],[f337,f406_D]) ).
fof(f406,plain,
! [X10,X6] :
( ~ l1(X10,X6)
| s4(X10)
| sP18(X6) ),
inference(cnf_transformation,[],[f406_D]) ).
fof(f406_D,plain,
! [X6] :
( ! [X10] :
( ~ l1(X10,X6)
| s4(X10) )
<=> ~ sP18(X6) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP18])]) ).
fof(f337,axiom,
! [X10,X11,X6,X7] :
( ~ p3(X11,X6,X7)
| s4(X10)
| ~ l1(X10,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_299) ).
fof(f2471,plain,
( sP18(e)
| ~ spl113_369 ),
inference(avatar_component_clause,[],[f2469]) ).
fof(f2476,plain,
( spl113_369
| spl113_370
| ~ spl113_319 ),
inference(avatar_split_clause,[],[f2447,f1931,f2473,f2469]) ).
fof(f1931,plain,
( spl113_319
<=> l1(e,e) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_319])]) ).
fof(f2447,plain,
( s4(e)
| sP18(e)
| ~ spl113_319 ),
inference(resolution,[],[f406,f1932]) ).
fof(f1932,plain,
( l1(e,e)
| ~ spl113_319 ),
inference(avatar_component_clause,[],[f1931]) ).
fof(f2404,plain,
spl113_301,
inference(avatar_contradiction_clause,[],[f2403]) ).
fof(f2403,plain,
( $false
| spl113_301 ),
inference(resolution,[],[f2396,f26]) ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
fof(f2396,plain,
( ! [X0] : ~ n0(X0,c)
| spl113_301 ),
inference(resolution,[],[f1856,f40]) ).
fof(f40,axiom,
! [X4,X5] :
( l1(X4,X4)
| ~ n0(X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_002) ).
fof(f1856,plain,
( ~ l1(c,c)
| spl113_301 ),
inference(avatar_component_clause,[],[f1854]) ).
fof(f1854,plain,
( spl113_301
<=> l1(c,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_301])]) ).
fof(f2395,plain,
( ~ spl113_238
| ~ spl113_301
| ~ spl113_350 ),
inference(avatar_split_clause,[],[f2393,f2072,f1854,f1582]) ).
fof(f1582,plain,
( spl113_238
<=> l0(c) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_238])]) ).
fof(f2072,plain,
( spl113_350
<=> ! [X11] :
( ~ l1(X11,X11)
| ~ l0(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_350])]) ).
fof(f2393,plain,
( ~ l0(c)
| ~ spl113_301
| ~ spl113_350 ),
inference(resolution,[],[f2073,f1855]) ).
fof(f1855,plain,
( l1(c,c)
| ~ spl113_301 ),
inference(avatar_component_clause,[],[f1854]) ).
fof(f2073,plain,
( ! [X11] :
( ~ l1(X11,X11)
| ~ l0(X11) )
| ~ spl113_350 ),
inference(avatar_component_clause,[],[f2072]) ).
fof(f2221,plain,
( spl113_76
| ~ spl113_167 ),
inference(avatar_split_clause,[],[f2219,f1284,f907]) ).
fof(f1284,plain,
( spl113_167
<=> p1(e,e,e) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_167])]) ).
fof(f2219,plain,
( n2(e)
| ~ spl113_167 ),
inference(resolution,[],[f175,f1286]) ).
fof(f1286,plain,
( p1(e,e,e)
| ~ spl113_167 ),
inference(avatar_component_clause,[],[f1284]) ).
fof(f175,axiom,
! [X10,X11,X6] :
( ~ p1(X11,X6,X10)
| n2(X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_137) ).
fof(f2205,plain,
( ~ spl113_245
| ~ spl113_202
| spl113_319 ),
inference(avatar_split_clause,[],[f2203,f1931,f1431,f1611]) ).
fof(f1611,plain,
( spl113_245
<=> k1(e) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_245])]) ).
fof(f1431,plain,
( spl113_202
<=> ! [X10] :
( l1(X10,X10)
| ~ k1(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_202])]) ).
fof(f2203,plain,
( ~ k1(e)
| ~ spl113_202
| spl113_319 ),
inference(resolution,[],[f1432,f1933]) ).
fof(f1933,plain,
( ~ l1(e,e)
| spl113_319 ),
inference(avatar_component_clause,[],[f1931]) ).
fof(f1432,plain,
( ! [X10] :
( l1(X10,X10)
| ~ k1(X10) )
| ~ spl113_202 ),
inference(avatar_component_clause,[],[f1431]) ).
fof(f2127,plain,
spl113_245,
inference(avatar_split_clause,[],[f2117,f1611]) ).
fof(f2117,plain,
k1(e),
inference(resolution,[],[f39,f30]) ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
fof(f39,axiom,
! [X2,X3] :
( ~ n0(X3,X2)
| k1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).
fof(f2086,plain,
spl113_238,
inference(avatar_contradiction_clause,[],[f2085]) ).
fof(f2085,plain,
( $false
| spl113_238 ),
inference(resolution,[],[f1584,f24]) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
fof(f1584,plain,
( ~ l0(c)
| spl113_238 ),
inference(avatar_component_clause,[],[f1582]) ).
fof(f2074,plain,
( ~ spl113_203
| spl113_350 ),
inference(avatar_split_clause,[],[f387,f2072,f1434]) ).
fof(f1434,plain,
( spl113_203
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl113_203])]) ).
fof(f387,plain,
! [X11] :
( ~ l1(X11,X11)
| ~ l0(X11)
| ~ sP8 ),
inference(general_splitting,[],[f42,f386_D]) ).
fof(f386,plain,
! [X10] :
( sP8
| l1(X10,X10)
| ~ k1(X10) ),
inference(cnf_transformation,[],[f386_D]) ).
fof(f386_D,plain,
( ! [X10] :
( l1(X10,X10)
| ~ k1(X10) )
<=> ~ sP8 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP8])]) ).
fof(f42,axiom,
! [X10,X11] :
( ~ l0(X11)
| ~ l1(X11,X11)
| ~ k1(X10)
| l1(X10,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_004) ).
fof(f1827,plain,
spl113_72,
inference(avatar_split_clause,[],[f13,f891]) ).
fof(f891,plain,
( spl113_72
<=> r0(e) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_72])]) ).
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f1825,plain,
spl113_168,
inference(avatar_split_clause,[],[f28,f1288]) ).
fof(f1288,plain,
( spl113_168
<=> k0(e) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_168])]) ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
fof(f1437,plain,
( spl113_202
| spl113_203 ),
inference(avatar_split_clause,[],[f386,f1434,f1431]) ).
fof(f1291,plain,
( spl113_167
| ~ spl113_168
| ~ spl113_72 ),
inference(avatar_split_clause,[],[f128,f891,f1288,f1284]) ).
fof(f128,axiom,
( ~ r0(e)
| ~ k0(e)
| p1(e,e,e) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_090) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN212-1 : TPTP v8.1.0. Released v1.1.0.
% 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
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 21:47:27 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.48 % (28055)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (28048)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (28050)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.54 % (28055)First to succeed.
% 0.20/0.55 % (28063)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56 % (28055)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.56 % (28055)------------------------------
% 0.20/0.56 % (28055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (28055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (28055)Termination reason: Refutation
% 0.20/0.56
% 0.20/0.56 % (28055)Memory used [KB]: 7291
% 0.20/0.56 % (28055)Time elapsed: 0.152 s
% 0.20/0.56 % (28055)Instructions burned: 32 (million)
% 0.20/0.56 % (28055)------------------------------
% 0.20/0.56 % (28055)------------------------------
% 0.20/0.56 % (28044)Success in time 0.211 s
%------------------------------------------------------------------------------