TSTP Solution File: SYN250-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN250-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Sun May 5 12:09:23 EDT 2024
% Result : Unsatisfiable 0.20s 0.41s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 22
% Syntax : Number of formulae : 55 ( 15 unt; 0 def)
% Number of atoms : 128 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 141 ( 68 ~; 63 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 11 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2608,plain,
$false,
inference(avatar_sat_refutation,[],[f1257,f1381,f1555,f1557,f1572,f1575,f1609,f1656,f2536,f2599,f2606]) ).
fof(f2606,plain,
( ~ spl0_215
| ~ spl0_216
| ~ spl0_248
| ~ spl0_263 ),
inference(avatar_contradiction_clause,[],[f2605]) ).
fof(f2605,plain,
( $false
| ~ spl0_215
| ~ spl0_216
| ~ spl0_248
| ~ spl0_263 ),
inference(subsumption_resolution,[],[f2602,f1252]) ).
fof(f1252,plain,
( k1(a)
| ~ spl0_215 ),
inference(avatar_component_clause,[],[f1251]) ).
fof(f1251,plain,
( spl0_215
<=> k1(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f2602,plain,
( ~ k1(a)
| ~ spl0_216
| ~ spl0_248
| ~ spl0_263 ),
inference(resolution,[],[f2601,f2144]) ).
fof(f2144,plain,
( ! [X0] :
( m1(b,X0,X0)
| ~ k1(X0) )
| ~ spl0_216
| ~ spl0_248 ),
inference(resolution,[],[f1256,f1372]) ).
fof(f1372,plain,
( q0(b,b)
| ~ spl0_248 ),
inference(avatar_component_clause,[],[f1371]) ).
fof(f1371,plain,
( spl0_248
<=> q0(b,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f1256,plain,
( ! [X10,X11] :
( ~ q0(X10,X10)
| m1(X10,X11,X11)
| ~ k1(X11) )
| ~ spl0_216 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f1255,plain,
( spl0_216
<=> ! [X11,X10] :
( ~ k1(X11)
| m1(X10,X11,X11)
| ~ q0(X10,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f2601,plain,
( ! [X0] : ~ m1(b,X0,a)
| ~ spl0_263 ),
inference(subsumption_resolution,[],[f2600,f369]) ).
fof(f369,axiom,
~ m1(e,a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f2600,plain,
( ! [X0] :
( ~ m1(b,X0,a)
| m1(e,a,a) )
| ~ spl0_263 ),
inference(resolution,[],[f1431,f54]) ).
fof(f54,axiom,
! [X2,X3,X10,X5] :
( ~ m1(X3,X2,X5)
| ~ m1(X3,X10,X2)
| m1(X5,X2,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_016) ).
fof(f1431,plain,
( m1(b,a,e)
| ~ spl0_263 ),
inference(avatar_component_clause,[],[f1430]) ).
fof(f1430,plain,
( spl0_263
<=> m1(b,a,e) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f2599,plain,
( ~ spl0_10
| ~ spl0_16
| spl0_324 ),
inference(avatar_contradiction_clause,[],[f2598]) ).
fof(f2598,plain,
( $false
| ~ spl0_10
| ~ spl0_16
| spl0_324 ),
inference(subsumption_resolution,[],[f2597,f412]) ).
fof(f412,plain,
( l0(c)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f411,plain,
( spl0_10
<=> l0(c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f2597,plain,
( ~ l0(c)
| ~ spl0_16
| spl0_324 ),
inference(subsumption_resolution,[],[f2593,f440]) ).
fof(f440,plain,
( r0(e)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f439,plain,
( spl0_16
<=> r0(e) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f2593,plain,
( ~ r0(e)
| ~ l0(c)
| spl0_324 ),
inference(resolution,[],[f2535,f73]) ).
fof(f73,axiom,
! [X2,X3] :
( m1(X2,X3,X2)
| ~ r0(X2)
| ~ l0(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_035) ).
fof(f2535,plain,
( ~ m1(e,c,e)
| spl0_324 ),
inference(avatar_component_clause,[],[f2533]) ).
fof(f2533,plain,
( spl0_324
<=> m1(e,c,e) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_324])]) ).
fof(f2536,plain,
( ~ spl0_324
| spl0_263
| ~ spl0_196
| ~ spl0_250 ),
inference(avatar_split_clause,[],[f2514,f1379,f1174,f1430,f2533]) ).
fof(f1174,plain,
( spl0_196
<=> q0(b,e) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f1379,plain,
( spl0_250
<=> ! [X4,X9] :
( ~ q0(X9,X4)
| m1(X9,a,X4)
| ~ m1(X4,c,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f2514,plain,
( m1(b,a,e)
| ~ m1(e,c,e)
| ~ spl0_196
| ~ spl0_250 ),
inference(resolution,[],[f1380,f1175]) ).
fof(f1175,plain,
( q0(b,e)
| ~ spl0_196 ),
inference(avatar_component_clause,[],[f1174]) ).
fof(f1380,plain,
( ! [X9,X4] :
( ~ q0(X9,X4)
| m1(X9,a,X4)
| ~ m1(X4,c,X4) )
| ~ spl0_250 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f1656,plain,
spl0_215,
inference(avatar_split_clause,[],[f1633,f1251]) ).
fof(f1633,plain,
k1(a),
inference(resolution,[],[f39,f37]) ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).
fof(f39,axiom,
! [X2,X3] :
( ~ n0(X3,X2)
| k1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_001) ).
fof(f1609,plain,
~ spl0_249,
inference(avatar_contradiction_clause,[],[f1608]) ).
fof(f1608,plain,
( $false
| ~ spl0_249 ),
inference(subsumption_resolution,[],[f1377,f12]) ).
fof(f12,axiom,
! [X0] : m0(a,X0,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f1377,plain,
( ! [X5] : ~ m0(a,X5,a)
| ~ spl0_249 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f1376,plain,
( spl0_249
<=> ! [X5] : ~ m0(a,X5,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f1575,plain,
spl0_196,
inference(avatar_split_clause,[],[f21,f1174]) ).
fof(f21,axiom,
q0(b,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(f1572,plain,
spl0_248,
inference(avatar_split_clause,[],[f6,f1371]) ).
fof(f6,axiom,
q0(b,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f1557,plain,
spl0_10,
inference(avatar_split_clause,[],[f24,f411]) ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(f1555,plain,
spl0_16,
inference(avatar_split_clause,[],[f13,f439]) ).
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(f1381,plain,
( spl0_249
| spl0_250 ),
inference(avatar_split_clause,[],[f62,f1379,f1376]) ).
fof(f62,axiom,
! [X9,X4,X5] :
( ~ q0(X9,X4)
| ~ m0(a,X5,a)
| ~ m1(X4,c,X4)
| m1(X9,a,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_024) ).
fof(f1257,plain,
( ~ spl0_215
| spl0_216 ),
inference(avatar_split_clause,[],[f72,f1255,f1251]) ).
fof(f72,axiom,
! [X10,X11] :
( ~ k1(X11)
| ~ k1(a)
| ~ q0(X10,X10)
| m1(X10,X11,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_034) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN250-1 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n020.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 : Fri May 3 17:47:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (25964)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (25968)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.20/0.37 % (25967)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.20/0.37 % (25970)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.20/0.37 % (25965)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.37 % (25966)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37 % (25969)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.20/0.37 % (25971)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.20/0.39 Detected minimum model sizes of [1]
% 0.20/0.39 Detected maximum model sizes of [5]
% 0.20/0.39 TRYING [1]
% 0.20/0.39 Detected minimum model sizes of [1]
% 0.20/0.39 Detected maximum model sizes of [5]
% 0.20/0.39 TRYING [1]
% 0.20/0.39 TRYING [2]
% 0.20/0.39 TRYING [2]
% 0.20/0.40 TRYING [1,1,1,1,1,1]
% 0.20/0.40 TRYING [1,1,1,1,1,1,1,1,1]
% 0.20/0.40 TRYING [2,1,1,1,1,1]
% 0.20/0.40 TRYING [2,1,1,1,1,1,1,1,1]
% 0.20/0.40 TRYING [3]
% 0.20/0.40 % (25970)First to succeed.
% 0.20/0.40 % (25969)Also succeeded, but the first one will report.
% 0.20/0.40 % (25970)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25964"
% 0.20/0.40 TRYING [3]
% 0.20/0.41 % (25970)Refutation found. Thanks to Tanya!
% 0.20/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.41 % (25970)------------------------------
% 0.20/0.41 % (25970)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.41 % (25970)Termination reason: Refutation
% 0.20/0.41
% 0.20/0.41 % (25970)Memory used [KB]: 1852
% 0.20/0.41 % (25970)Time elapsed: 0.031 s
% 0.20/0.41 % (25970)Instructions burned: 51 (million)
% 0.20/0.41 % (25964)Success in time 0.043 s
%------------------------------------------------------------------------------