TSTP Solution File: GEO007-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO007-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n005.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 : Tue Apr 30 11:11:23 EDT 2024
% Result : Unsatisfiable 0.20s 0.44s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 29
% Syntax : Number of formulae : 100 ( 21 unt; 0 def)
% Number of atoms : 228 ( 28 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 212 ( 84 ~; 112 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 17 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-5 aty)
% Number of variables : 64 ( 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1782,plain,
$false,
inference(avatar_sat_refutation,[],[f1333,f1340,f1359,f1373,f1381,f1401,f1415,f1535,f1536,f1722,f1747,f1781]) ).
fof(f1781,plain,
spl0_15,
inference(avatar_contradiction_clause,[],[f1780]) ).
fof(f1780,plain,
( $false
| spl0_15 ),
inference(subsumption_resolution,[],[f1775,f24]) ).
fof(f24,axiom,
~ between(d,e,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_not_between_d_and_a) ).
fof(f1775,plain,
( between(d,e,a)
| spl0_15 ),
inference(resolution,[],[f1774,f29]) ).
fof(f29,plain,
! [X0] :
( ~ between(X0,e,c)
| between(X0,e,a) ),
inference(resolution,[],[f2,f23]) ).
fof(f23,axiom,
between(e,a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_between_a_and_e) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ between(X1,X3,X2)
| ~ between(X0,X1,X2)
| between(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_for_betweeness) ).
fof(f1774,plain,
( between(d,e,c)
| spl0_15 ),
inference(subsumption_resolution,[],[f1773,f32]) ).
fof(f32,plain,
! [X0,X1] : between(X0,X1,X1),
inference(superposition,[],[f13,f27]) ).
fof(f27,plain,
! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
inference(resolution,[],[f14,f5]) ).
fof(f5,axiom,
! [X3,X0,X1] :
( ~ equidistant(X0,X1,X3,X3)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f14,axiom,
! [X2,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X2),X5,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction2) ).
fof(f13,axiom,
! [X2,X0,X1,X5] : between(X0,X1,extension(X0,X1,X5,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction1) ).
fof(f1773,plain,
( between(d,e,c)
| ~ between(c,e,e)
| spl0_15 ),
inference(subsumption_resolution,[],[f1769,f1750]) ).
fof(f1750,plain,
( between(c,e,d)
| spl0_15 ),
inference(subsumption_resolution,[],[f1748,f1457]) ).
fof(f1457,plain,
between(c,a,e),
inference(subsumption_resolution,[],[f1456,f23]) ).
fof(f1456,plain,
( between(c,a,e)
| ~ between(e,a,c) ),
inference(subsumption_resolution,[],[f1454,f32]) ).
fof(f1454,plain,
( between(c,a,e)
| ~ between(e,c,c)
| ~ between(e,a,c) ),
inference(superposition,[],[f8,f1449]) ).
fof(f1449,plain,
e = outer_pasch(a,e,e,c,c),
inference(resolution,[],[f1427,f32]) ).
fof(f1427,plain,
! [X0] :
( ~ between(e,c,X0)
| e = outer_pasch(a,e,e,X0,c) ),
inference(resolution,[],[f54,f23]) ).
fof(f54,plain,
! [X2,X3,X0,X1] :
( ~ between(X0,X3,X1)
| ~ between(X0,X1,X2)
| outer_pasch(X3,X0,X0,X2,X1) = X0 ),
inference(resolution,[],[f7,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ between(X0,X1,X0)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_betweeness) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X5] :
( between(X0,outer_pasch(X5,X0,X1,X3,X2),X1)
| ~ between(X1,X2,X3)
| ~ between(X0,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_pasch1) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X5] :
( between(X3,X5,outer_pasch(X5,X0,X1,X3,X2))
| ~ between(X1,X2,X3)
| ~ between(X0,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_pasch2) ).
fof(f1748,plain,
( between(c,e,d)
| ~ between(c,a,e)
| spl0_15 ),
inference(resolution,[],[f1716,f1444]) ).
fof(f1444,plain,
! [X0] :
( between(c,d,X0)
| between(c,X0,d)
| ~ between(c,a,X0) ),
inference(subsumption_resolution,[],[f1442,f21]) ).
fof(f21,axiom,
a != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_not_c) ).
fof(f1442,plain,
! [X0] :
( a = c
| ~ between(c,a,X0)
| between(c,X0,d)
| between(c,d,X0) ),
inference(resolution,[],[f1440,f3]) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ between(X0,X1,X3)
| X0 = X1
| ~ between(X0,X1,X2)
| between(X0,X2,X3)
| between(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',connectivity_for_betweeness) ).
fof(f1440,plain,
between(c,a,d),
inference(subsumption_resolution,[],[f1439,f22]) ).
fof(f22,axiom,
between(d,a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_between_a_and_c) ).
fof(f1439,plain,
( between(c,a,d)
| ~ between(d,a,c) ),
inference(subsumption_resolution,[],[f1437,f32]) ).
fof(f1437,plain,
( between(c,a,d)
| ~ between(d,c,c)
| ~ between(d,a,c) ),
inference(superposition,[],[f8,f1432]) ).
fof(f1432,plain,
d = outer_pasch(a,d,d,c,c),
inference(resolution,[],[f1426,f32]) ).
fof(f1426,plain,
! [X0] :
( ~ between(d,c,X0)
| d = outer_pasch(a,d,d,X0,c) ),
inference(resolution,[],[f54,f22]) ).
fof(f1716,plain,
( ~ between(c,d,e)
| spl0_15 ),
inference(avatar_component_clause,[],[f1715]) ).
fof(f1715,plain,
( spl0_15
<=> between(c,d,e) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1769,plain,
( between(d,e,c)
| ~ between(c,e,d)
| ~ between(c,e,e)
| spl0_15 ),
inference(superposition,[],[f8,f1758]) ).
fof(f1758,plain,
( c = outer_pasch(e,c,c,d,e)
| spl0_15 ),
inference(resolution,[],[f1750,f1420]) ).
fof(f1420,plain,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| outer_pasch(X1,X0,X0,X2,X1) = X0 ),
inference(resolution,[],[f54,f32]) ).
fof(f1747,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f1746]) ).
fof(f1746,plain,
( $false
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f1741,f25]) ).
fof(f25,axiom,
~ between(e,d,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_d_between_e_and_a) ).
fof(f1741,plain,
( between(e,d,a)
| ~ spl0_15 ),
inference(resolution,[],[f1740,f28]) ).
fof(f28,plain,
! [X0] :
( ~ between(X0,d,c)
| between(X0,d,a) ),
inference(resolution,[],[f2,f22]) ).
fof(f1740,plain,
( between(e,d,c)
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f1739,f32]) ).
fof(f1739,plain,
( between(e,d,c)
| ~ between(c,d,d)
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f1735,f1717]) ).
fof(f1717,plain,
( between(c,d,e)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f1715]) ).
fof(f1735,plain,
( between(e,d,c)
| ~ between(c,d,e)
| ~ between(c,d,d)
| ~ spl0_15 ),
inference(superposition,[],[f8,f1724]) ).
fof(f1724,plain,
( c = outer_pasch(d,c,c,e,d)
| ~ spl0_15 ),
inference(resolution,[],[f1717,f1420]) ).
fof(f1722,plain,
( spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f1642,f1719,f1715]) ).
fof(f1719,plain,
( spl0_16
<=> c = outer_pasch(a,c,c,d,e) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1642,plain,
( c = outer_pasch(a,c,c,d,e)
| between(c,d,e) ),
inference(subsumption_resolution,[],[f1635,f1457]) ).
fof(f1635,plain,
( c = outer_pasch(a,c,c,d,e)
| between(c,d,e)
| ~ between(c,a,e) ),
inference(resolution,[],[f1458,f1444]) ).
fof(f1458,plain,
! [X0] :
( ~ between(c,e,X0)
| c = outer_pasch(a,c,c,X0,e) ),
inference(resolution,[],[f1457,f54]) ).
fof(f1536,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f1531]) ).
fof(f1531,plain,
( $false
| spl0_7 ),
inference(resolution,[],[f1522,f1371]) ).
fof(f1371,plain,
( ~ between(d,d,c)
| spl0_7 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f1370,plain,
( spl0_7
<=> between(d,d,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1522,plain,
! [X0,X1] : between(X0,X0,X1),
inference(subsumption_resolution,[],[f1520,f32]) ).
fof(f1520,plain,
! [X0,X1] :
( between(X0,X0,X1)
| ~ between(X1,X0,X0) ),
inference(duplicate_literal_removal,[],[f1517]) ).
fof(f1517,plain,
! [X0,X1] :
( between(X0,X0,X1)
| ~ between(X1,X0,X0)
| ~ between(X1,X0,X0) ),
inference(superposition,[],[f8,f1495]) ).
fof(f1495,plain,
! [X0,X1] : outer_pasch(X0,X1,X1,X0,X0) = X1,
inference(resolution,[],[f1420,f32]) ).
fof(f1535,plain,
spl0_14,
inference(avatar_contradiction_clause,[],[f1532]) ).
fof(f1532,plain,
( $false
| spl0_14 ),
inference(resolution,[],[f1522,f1413]) ).
fof(f1413,plain,
( ~ between(e,e,c)
| spl0_14 ),
inference(avatar_component_clause,[],[f1412]) ).
fof(f1412,plain,
( spl0_14
<=> between(e,e,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1415,plain,
( spl0_12
| ~ spl0_13
| spl0_14
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1383,f1375,f1412,f1408,f1404]) ).
fof(f1404,plain,
( spl0_12
<=> c = e ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1408,plain,
( spl0_13
<=> between(e,a,e) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1375,plain,
( spl0_8
<=> ! [X0] :
( ~ between(e,a,X0)
| between(e,c,X0)
| between(e,X0,c) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1383,plain,
( between(e,e,c)
| ~ between(e,a,e)
| c = e
| ~ spl0_8 ),
inference(resolution,[],[f1376,f1]) ).
fof(f1376,plain,
( ! [X0] :
( between(e,c,X0)
| between(e,X0,c)
| ~ between(e,a,X0) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f1375]) ).
fof(f1401,plain,
( ~ spl0_10
| spl0_11
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1392,f1375,f1398,f1394]) ).
fof(f1394,plain,
( spl0_10
<=> between(e,a,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1398,plain,
( spl0_11
<=> between(e,c,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1392,plain,
( between(e,c,d)
| ~ between(e,a,d)
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1387,f25]) ).
fof(f1387,plain,
( between(e,c,d)
| ~ between(e,a,d)
| between(e,d,a)
| ~ spl0_8 ),
inference(resolution,[],[f1376,f28]) ).
fof(f1381,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f187,f1378,f1375]) ).
fof(f1378,plain,
( spl0_9
<=> a = e ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f187,plain,
! [X0] :
( a = e
| ~ between(e,a,X0)
| between(e,X0,c)
| between(e,c,X0) ),
inference(resolution,[],[f3,f23]) ).
fof(f1373,plain,
( spl0_5
| ~ spl0_6
| spl0_7
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1341,f1327,f1370,f1366,f1362]) ).
fof(f1362,plain,
( spl0_5
<=> c = d ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1366,plain,
( spl0_6
<=> between(d,a,d) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f1327,plain,
( spl0_1
<=> ! [X0] :
( ~ between(d,a,X0)
| between(d,c,X0)
| between(d,X0,c) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1341,plain,
( between(d,d,c)
| ~ between(d,a,d)
| c = d
| ~ spl0_1 ),
inference(resolution,[],[f1328,f1]) ).
fof(f1328,plain,
( ! [X0] :
( between(d,c,X0)
| between(d,X0,c)
| ~ between(d,a,X0) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1327]) ).
fof(f1359,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1350,f1327,f1356,f1352]) ).
fof(f1352,plain,
( spl0_3
<=> between(d,a,e) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1356,plain,
( spl0_4
<=> between(d,c,e) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1350,plain,
( between(d,c,e)
| ~ between(d,a,e)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f1346,f24]) ).
fof(f1346,plain,
( between(d,c,e)
| ~ between(d,a,e)
| between(d,e,a)
| ~ spl0_1 ),
inference(resolution,[],[f1328,f29]) ).
fof(f1340,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1339]) ).
fof(f1339,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f1337,f32]) ).
fof(f1337,plain,
( ~ between(e,a,a)
| ~ spl0_2 ),
inference(superposition,[],[f25,f1332]) ).
fof(f1332,plain,
( a = d
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f1330]) ).
fof(f1330,plain,
( spl0_2
<=> a = d ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1333,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f186,f1330,f1327]) ).
fof(f186,plain,
! [X0] :
( a = d
| ~ between(d,a,X0)
| between(d,X0,c)
| between(d,c,X0) ),
inference(resolution,[],[f3,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO007-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 05:40:26 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (10295)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (10301)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.37 % (10298)WARNING: value z3 for option sas not known
% 0.20/0.37 % (10302)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.37 % (10298)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.37 % (10299)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 % (10297)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37 % (10300)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 % (10296)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.38 TRYING [3]
% 0.20/0.39 TRYING [1]
% 0.20/0.40 TRYING [2]
% 0.20/0.43 % (10298)First to succeed.
% 0.20/0.44 TRYING [4]
% 0.20/0.44 % (10298)Refutation found. Thanks to Tanya!
% 0.20/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.44 % (10298)------------------------------
% 0.20/0.44 % (10298)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.44 % (10298)Termination reason: Refutation
% 0.20/0.44
% 0.20/0.44 % (10298)Memory used [KB]: 1395
% 0.20/0.44 % (10298)Time elapsed: 0.063 s
% 0.20/0.44 % (10298)Instructions burned: 130 (million)
% 0.20/0.44 % (10298)------------------------------
% 0.20/0.44 % (10298)------------------------------
% 0.20/0.44 % (10295)Success in time 0.078 s
%------------------------------------------------------------------------------