TSTP Solution File: GRP026-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP026-1 : TPTP v8.1.2. Bugfixed v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n032.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 05:44:20 EDT 2024
% Result : Unsatisfiable 0.46s 0.64s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 37
% Syntax : Number of formulae : 269 ( 27 unt; 0 def)
% Number of atoms : 797 ( 55 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 1072 ( 544 ~; 519 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 10 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-1 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1302,plain,
$false,
inference(avatar_sat_refutation,[],[f293,f306,f319,f329,f372,f445,f466,f478,f549,f575,f588,f673,f686,f710,f743,f756,f789,f793,f807,f878,f892,f895,f961,f989,f1048,f1062,f1153,f1157,f1169,f1216,f1221,f1238,f1296,f1299]) ).
fof(f1299,plain,
( ~ spl2_1
| ~ spl2_6
| ~ spl2_7
| spl2_8 ),
inference(avatar_contradiction_clause,[],[f1298]) ).
fof(f1298,plain,
( $false
| ~ spl2_1
| ~ spl2_6
| ~ spl2_7
| spl2_8 ),
inference(subsumption_resolution,[],[f1297,f1250]) ).
fof(f1250,plain,
( product(g1,c,b,c)
| ~ spl2_1
| ~ spl2_6
| ~ spl2_7 ),
inference(forward_demodulation,[],[f1249,f305]) ).
fof(f305,plain,
( b = d2
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f303,plain,
( spl2_6
<=> b = d2 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f1249,plain,
( product(g1,c,d2,c)
| ~ spl2_1
| ~ spl2_7 ),
inference(forward_demodulation,[],[f1243,f310]) ).
fof(f310,plain,
( c = d3
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f308,plain,
( spl2_7
<=> c = d3 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f1243,plain,
( product(g1,c,d2,d3)
| ~ spl2_1 ),
inference(superposition,[],[f44,f284]) ).
fof(f284,plain,
( c = d1
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f282,plain,
( spl2_1
<=> c = d1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f44,axiom,
product(g1,d1,d2,d3),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',d1_times_d2_is_d3) ).
fof(f1297,plain,
( ~ product(g1,c,b,c)
| ~ spl2_7
| spl2_8 ),
inference(forward_demodulation,[],[f1277,f310]) ).
fof(f1277,plain,
( ~ product(g1,c,b,d3)
| spl2_8 ),
inference(unit_resulting_resolution,[],[f27,f313,f9]) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( ~ product(X0,X1,X2,X3)
| ~ product(X0,X1,X2,X4)
| X3 = X4 ),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',total_function2) ).
fof(f313,plain,
( a != d3
| spl2_8 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f312,plain,
( spl2_8
<=> a = d3 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
fof(f27,axiom,
product(g1,c,b,a),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',c_times_b_is_a) ).
fof(f1296,plain,
( ~ spl2_1
| ~ spl2_6
| spl2_8 ),
inference(avatar_contradiction_clause,[],[f1295]) ).
fof(f1295,plain,
( $false
| ~ spl2_1
| ~ spl2_6
| spl2_8 ),
inference(subsumption_resolution,[],[f1294,f27]) ).
fof(f1294,plain,
( ~ product(g1,c,b,a)
| ~ spl2_1
| ~ spl2_6
| spl2_8 ),
inference(forward_demodulation,[],[f1293,f284]) ).
fof(f1293,plain,
( ~ product(g1,d1,b,a)
| ~ spl2_6
| spl2_8 ),
inference(forward_demodulation,[],[f1278,f305]) ).
fof(f1278,plain,
( ~ product(g1,d1,d2,a)
| spl2_8 ),
inference(unit_resulting_resolution,[],[f44,f313,f9]) ).
fof(f1238,plain,
( ~ spl2_3
| ~ spl2_6
| ~ spl2_7 ),
inference(avatar_contradiction_clause,[],[f1237]) ).
fof(f1237,plain,
( $false
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7 ),
inference(subsumption_resolution,[],[f1236,f34]) ).
fof(f34,axiom,
product(g2,g,g,h),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',g_times_g_is_h) ).
fof(f1236,plain,
( ~ product(g2,g,g,h)
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7 ),
inference(forward_demodulation,[],[f1235,f39]) ).
fof(f39,axiom,
g = an_isomorphism(b),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',b_maps_to_g) ).
fof(f1235,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(b),h)
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7 ),
inference(forward_demodulation,[],[f1234,f305]) ).
fof(f1234,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(d2),h)
| ~ spl2_3
| ~ spl2_7 ),
inference(forward_demodulation,[],[f1233,f40]) ).
fof(f40,axiom,
h = an_isomorphism(c),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',c_maps_to_h) ).
fof(f1233,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(d2),an_isomorphism(c))
| ~ spl2_3
| ~ spl2_7 ),
inference(forward_demodulation,[],[f1175,f310]) ).
fof(f1175,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(d2),an_isomorphism(d3))
| ~ spl2_3 ),
inference(superposition,[],[f45,f292]) ).
fof(f292,plain,
( b = d1
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f290,plain,
( spl2_3
<=> b = d1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f45,axiom,
~ product(g2,an_isomorphism(d1),an_isomorphism(d2),an_isomorphism(d3)),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',prove_product_holds_in_group2) ).
fof(f1221,plain,
( spl2_5
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9 ),
inference(avatar_contradiction_clause,[],[f1220]) ).
fof(f1220,plain,
( $false
| spl2_5
| ~ spl2_6
| ~ spl2_8
| ~ spl2_9 ),
inference(subsumption_resolution,[],[f1219,f1093]) ).
fof(f1093,plain,
( a != b
| spl2_5
| ~ spl2_6 ),
inference(superposition,[],[f300,f305]) ).
fof(f300,plain,
( a != d2
| spl2_5 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f299,plain,
( spl2_5
<=> a = d2 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f1219,plain,
( a = b
| ~ spl2_8
| ~ spl2_9 ),
inference(forward_demodulation,[],[f318,f314]) ).
fof(f314,plain,
( a = d3
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f318,plain,
( b = d3
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f316,plain,
( spl2_9
<=> b = d3 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
fof(f1216,plain,
( ~ spl2_7
| ~ spl2_8
| spl2_9 ),
inference(avatar_contradiction_clause,[],[f1215]) ).
fof(f1215,plain,
( $false
| ~ spl2_7
| ~ spl2_8
| spl2_9 ),
inference(subsumption_resolution,[],[f1214,f20]) ).
fof(f20,axiom,
product(g1,a,a,a),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',a_times_a_is_a) ).
fof(f1214,plain,
( ~ product(g1,a,a,a)
| ~ spl2_7
| ~ spl2_8
| spl2_9 ),
inference(forward_demodulation,[],[f1213,f1172]) ).
fof(f1172,plain,
( a = c
| ~ spl2_7
| ~ spl2_8 ),
inference(forward_demodulation,[],[f310,f314]) ).
fof(f1213,plain,
( ~ product(g1,c,c,a)
| ~ spl2_8
| spl2_9 ),
inference(forward_demodulation,[],[f1196,f314]) ).
fof(f1196,plain,
( ~ product(g1,c,c,d3)
| spl2_9 ),
inference(unit_resulting_resolution,[],[f28,f317,f9]) ).
fof(f317,plain,
( b != d3
| spl2_9 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f28,axiom,
product(g1,c,c,b),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',c_times_c_is_b) ).
fof(f1169,plain,
( ~ spl2_1
| ~ spl2_6
| ~ spl2_8 ),
inference(avatar_contradiction_clause,[],[f1168]) ).
fof(f1168,plain,
( $false
| ~ spl2_1
| ~ spl2_6
| ~ spl2_8 ),
inference(subsumption_resolution,[],[f1167,f36]) ).
fof(f36,axiom,
product(g2,h,g,f),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',h_times_g_is_f) ).
fof(f1167,plain,
( ~ product(g2,h,g,f)
| ~ spl2_1
| ~ spl2_6
| ~ spl2_8 ),
inference(forward_demodulation,[],[f1166,f40]) ).
fof(f1166,plain,
( ~ product(g2,an_isomorphism(c),g,f)
| ~ spl2_1
| ~ spl2_6
| ~ spl2_8 ),
inference(forward_demodulation,[],[f1165,f39]) ).
fof(f1165,plain,
( ~ product(g2,an_isomorphism(c),an_isomorphism(b),f)
| ~ spl2_1
| ~ spl2_6
| ~ spl2_8 ),
inference(forward_demodulation,[],[f1164,f305]) ).
fof(f1164,plain,
( ~ product(g2,an_isomorphism(c),an_isomorphism(d2),f)
| ~ spl2_1
| ~ spl2_8 ),
inference(forward_demodulation,[],[f1163,f38]) ).
fof(f38,axiom,
f = an_isomorphism(a),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',a_maps_to_f) ).
fof(f1163,plain,
( ~ product(g2,an_isomorphism(c),an_isomorphism(d2),an_isomorphism(a))
| ~ spl2_1
| ~ spl2_8 ),
inference(forward_demodulation,[],[f1160,f314]) ).
fof(f1160,plain,
( ~ product(g2,an_isomorphism(c),an_isomorphism(d2),an_isomorphism(d3))
| ~ spl2_1 ),
inference(superposition,[],[f45,f284]) ).
fof(f1157,plain,
( ~ spl2_3
| ~ spl2_6
| spl2_7
| ~ spl2_8 ),
inference(avatar_contradiction_clause,[],[f1156]) ).
fof(f1156,plain,
( $false
| ~ spl2_3
| ~ spl2_6
| spl2_7
| ~ spl2_8 ),
inference(subsumption_resolution,[],[f1155,f1132]) ).
fof(f1132,plain,
( product(g1,b,b,a)
| ~ spl2_3
| ~ spl2_6
| ~ spl2_8 ),
inference(forward_demodulation,[],[f1131,f305]) ).
fof(f1131,plain,
( product(g1,b,d2,a)
| ~ spl2_3
| ~ spl2_8 ),
inference(forward_demodulation,[],[f1125,f314]) ).
fof(f1125,plain,
( product(g1,b,d2,d3)
| ~ spl2_3 ),
inference(superposition,[],[f44,f292]) ).
fof(f1155,plain,
( ~ product(g1,b,b,a)
| spl2_7
| ~ spl2_8 ),
inference(forward_demodulation,[],[f1134,f314]) ).
fof(f1134,plain,
( ~ product(g1,b,b,d3)
| spl2_7 ),
inference(unit_resulting_resolution,[],[f25,f309,f9]) ).
fof(f309,plain,
( c != d3
| spl2_7 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f25,axiom,
product(g1,b,b,c),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',b_times_b_is_c) ).
fof(f1153,plain,
( ~ spl2_3
| ~ spl2_6
| spl2_7 ),
inference(avatar_contradiction_clause,[],[f1152]) ).
fof(f1152,plain,
( $false
| ~ spl2_3
| ~ spl2_6
| spl2_7 ),
inference(subsumption_resolution,[],[f1151,f25]) ).
fof(f1151,plain,
( ~ product(g1,b,b,c)
| ~ spl2_3
| ~ spl2_6
| spl2_7 ),
inference(forward_demodulation,[],[f1150,f292]) ).
fof(f1150,plain,
( ~ product(g1,d1,b,c)
| ~ spl2_6
| spl2_7 ),
inference(forward_demodulation,[],[f1136,f305]) ).
fof(f1136,plain,
( ~ product(g1,d1,d2,c)
| spl2_7 ),
inference(unit_resulting_resolution,[],[f44,f309,f9]) ).
fof(f1062,plain,
( ~ spl2_3
| ~ spl2_5
| ~ spl2_9 ),
inference(avatar_contradiction_clause,[],[f1061]) ).
fof(f1061,plain,
( $false
| ~ spl2_3
| ~ spl2_5
| ~ spl2_9 ),
inference(subsumption_resolution,[],[f1060,f31]) ).
fof(f31,axiom,
product(g2,g,f,g),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',g_times_f_is_g) ).
fof(f1060,plain,
( ~ product(g2,g,f,g)
| ~ spl2_3
| ~ spl2_5
| ~ spl2_9 ),
inference(forward_demodulation,[],[f1059,f38]) ).
fof(f1059,plain,
( ~ product(g2,g,an_isomorphism(a),g)
| ~ spl2_3
| ~ spl2_5
| ~ spl2_9 ),
inference(forward_demodulation,[],[f1058,f301]) ).
fof(f301,plain,
( a = d2
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f1058,plain,
( ~ product(g2,g,an_isomorphism(d2),g)
| ~ spl2_3
| ~ spl2_9 ),
inference(forward_demodulation,[],[f1057,f39]) ).
fof(f1057,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(d2),an_isomorphism(b))
| ~ spl2_3
| ~ spl2_9 ),
inference(forward_demodulation,[],[f1054,f318]) ).
fof(f1054,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(d2),an_isomorphism(d3))
| ~ spl2_3 ),
inference(superposition,[],[f45,f292]) ).
fof(f1048,plain,
( ~ spl2_1
| ~ spl2_5
| spl2_7
| ~ spl2_9 ),
inference(avatar_contradiction_clause,[],[f1047]) ).
fof(f1047,plain,
( $false
| ~ spl2_1
| ~ spl2_5
| spl2_7
| ~ spl2_9 ),
inference(subsumption_resolution,[],[f1038,f1006]) ).
fof(f1006,plain,
( product(g1,c,a,b)
| ~ spl2_1
| ~ spl2_5
| ~ spl2_9 ),
inference(forward_demodulation,[],[f1005,f301]) ).
fof(f1005,plain,
( product(g1,c,d2,b)
| ~ spl2_1
| ~ spl2_9 ),
inference(forward_demodulation,[],[f998,f318]) ).
fof(f998,plain,
( product(g1,c,d2,d3)
| ~ spl2_1 ),
inference(superposition,[],[f44,f284]) ).
fof(f1038,plain,
( ~ product(g1,c,a,b)
| spl2_7
| ~ spl2_9 ),
inference(unit_resulting_resolution,[],[f24,f995,f9]) ).
fof(f995,plain,
( b != c
| spl2_7
| ~ spl2_9 ),
inference(forward_demodulation,[],[f309,f318]) ).
fof(f24,axiom,
product(g1,c,a,c),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',c_times_a_is_c) ).
fof(f989,plain,
( ~ spl2_1
| ~ spl2_5
| ~ spl2_7 ),
inference(avatar_contradiction_clause,[],[f988]) ).
fof(f988,plain,
( $false
| ~ spl2_1
| ~ spl2_5
| ~ spl2_7 ),
inference(subsumption_resolution,[],[f987,f33]) ).
fof(f33,axiom,
product(g2,h,f,h),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',h_times_f_is_h) ).
fof(f987,plain,
( ~ product(g2,h,f,h)
| ~ spl2_1
| ~ spl2_5
| ~ spl2_7 ),
inference(forward_demodulation,[],[f986,f40]) ).
fof(f986,plain,
( ~ product(g2,an_isomorphism(c),f,h)
| ~ spl2_1
| ~ spl2_5
| ~ spl2_7 ),
inference(forward_demodulation,[],[f985,f284]) ).
fof(f985,plain,
( ~ product(g2,an_isomorphism(d1),f,h)
| ~ spl2_5
| ~ spl2_7 ),
inference(forward_demodulation,[],[f984,f40]) ).
fof(f984,plain,
( ~ product(g2,an_isomorphism(d1),f,an_isomorphism(c))
| ~ spl2_5
| ~ spl2_7 ),
inference(forward_demodulation,[],[f901,f310]) ).
fof(f901,plain,
( ~ product(g2,an_isomorphism(d1),f,an_isomorphism(d3))
| ~ spl2_5 ),
inference(forward_demodulation,[],[f825,f38]) ).
fof(f825,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(a),an_isomorphism(d3))
| ~ spl2_5 ),
inference(superposition,[],[f45,f301]) ).
fof(f961,plain,
( spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7 ),
inference(avatar_contradiction_clause,[],[f960]) ).
fof(f960,plain,
( $false
| spl2_1
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7 ),
inference(subsumption_resolution,[],[f947,f913]) ).
fof(f913,plain,
( product(g1,b,a,c)
| ~ spl2_3
| ~ spl2_5
| ~ spl2_7 ),
inference(forward_demodulation,[],[f912,f292]) ).
fof(f912,plain,
( product(g1,d1,a,c)
| ~ spl2_5
| ~ spl2_7 ),
inference(forward_demodulation,[],[f905,f301]) ).
fof(f905,plain,
( product(g1,d1,d2,c)
| ~ spl2_7 ),
inference(superposition,[],[f44,f310]) ).
fof(f947,plain,
( ~ product(g1,b,a,c)
| spl2_1
| ~ spl2_3 ),
inference(unit_resulting_resolution,[],[f22,f879,f9]) ).
fof(f879,plain,
( b != c
| spl2_1
| ~ spl2_3 ),
inference(forward_demodulation,[],[f283,f292]) ).
fof(f283,plain,
( c != d1
| spl2_1 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f22,axiom,
product(g1,b,a,b),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',b_times_a_is_b) ).
fof(f895,plain,
( ~ spl2_5
| spl2_6
| ~ spl2_8
| ~ spl2_9 ),
inference(avatar_contradiction_clause,[],[f894]) ).
fof(f894,plain,
( $false
| ~ spl2_5
| spl2_6
| ~ spl2_8
| ~ spl2_9 ),
inference(subsumption_resolution,[],[f893,f824]) ).
fof(f824,plain,
( a != b
| ~ spl2_5
| spl2_6 ),
inference(superposition,[],[f304,f301]) ).
fof(f304,plain,
( b != d2
| spl2_6 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f893,plain,
( a = b
| ~ spl2_8
| ~ spl2_9 ),
inference(forward_demodulation,[],[f318,f314]) ).
fof(f892,plain,
( ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| spl2_9 ),
inference(avatar_contradiction_clause,[],[f891]) ).
fof(f891,plain,
( $false
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8
| spl2_9 ),
inference(subsumption_resolution,[],[f890,f854]) ).
fof(f854,plain,
( ~ product(g1,b,a,a)
| ~ spl2_8
| spl2_9 ),
inference(forward_demodulation,[],[f850,f314]) ).
fof(f850,plain,
( ~ product(g1,b,a,d3)
| spl2_9 ),
inference(unit_resulting_resolution,[],[f22,f317,f9]) ).
fof(f890,plain,
( product(g1,b,a,a)
| ~ spl2_3
| ~ spl2_5
| ~ spl2_8 ),
inference(forward_demodulation,[],[f889,f301]) ).
fof(f889,plain,
( product(g1,b,d2,a)
| ~ spl2_3
| ~ spl2_8 ),
inference(forward_demodulation,[],[f882,f314]) ).
fof(f882,plain,
( product(g1,b,d2,d3)
| ~ spl2_3 ),
inference(superposition,[],[f44,f292]) ).
fof(f878,plain,
( ~ spl2_1
| spl2_2
| ~ spl2_5
| ~ spl2_8 ),
inference(avatar_contradiction_clause,[],[f877]) ).
fof(f877,plain,
( $false
| ~ spl2_1
| spl2_2
| ~ spl2_5
| ~ spl2_8 ),
inference(subsumption_resolution,[],[f868,f833]) ).
fof(f833,plain,
( product(g1,c,a,a)
| ~ spl2_1
| ~ spl2_5
| ~ spl2_8 ),
inference(forward_demodulation,[],[f832,f284]) ).
fof(f832,plain,
( product(g1,d1,a,a)
| ~ spl2_5
| ~ spl2_8 ),
inference(forward_demodulation,[],[f826,f314]) ).
fof(f826,plain,
( product(g1,d1,a,d3)
| ~ spl2_5 ),
inference(superposition,[],[f44,f301]) ).
fof(f868,plain,
( ~ product(g1,c,a,a)
| ~ spl2_1
| spl2_2 ),
inference(unit_resulting_resolution,[],[f24,f796,f9]) ).
fof(f796,plain,
( a != c
| ~ spl2_1
| spl2_2 ),
inference(superposition,[],[f287,f284]) ).
fof(f287,plain,
( a != d1
| spl2_2 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f286,plain,
( spl2_2
<=> a = d1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f807,plain,
( ~ spl2_1
| ~ spl2_4
| spl2_6
| ~ spl2_7 ),
inference(avatar_contradiction_clause,[],[f806]) ).
fof(f806,plain,
( $false
| ~ spl2_1
| ~ spl2_4
| spl2_6
| ~ spl2_7 ),
inference(subsumption_resolution,[],[f805,f621]) ).
fof(f621,plain,
( ~ product(g1,c,c,c)
| ~ spl2_4
| spl2_6 ),
inference(forward_demodulation,[],[f619,f297]) ).
fof(f297,plain,
( c = d2
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f295,plain,
( spl2_4
<=> c = d2 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f619,plain,
( ~ product(g1,c,c,d2)
| spl2_6 ),
inference(unit_resulting_resolution,[],[f28,f304,f9]) ).
fof(f805,plain,
( product(g1,c,c,c)
| ~ spl2_1
| ~ spl2_4
| ~ spl2_7 ),
inference(forward_demodulation,[],[f804,f297]) ).
fof(f804,plain,
( product(g1,c,d2,c)
| ~ spl2_1
| ~ spl2_7 ),
inference(forward_demodulation,[],[f798,f310]) ).
fof(f798,plain,
( product(g1,c,d2,d3)
| ~ spl2_1 ),
inference(superposition,[],[f44,f284]) ).
fof(f793,plain,
( ~ spl2_3
| ~ spl2_4
| spl2_8
| ~ spl2_9 ),
inference(avatar_contradiction_clause,[],[f792]) ).
fof(f792,plain,
( $false
| ~ spl2_3
| ~ spl2_4
| spl2_8
| ~ spl2_9 ),
inference(subsumption_resolution,[],[f791,f767]) ).
fof(f767,plain,
( product(g1,b,c,b)
| ~ spl2_3
| ~ spl2_4
| ~ spl2_9 ),
inference(forward_demodulation,[],[f766,f297]) ).
fof(f766,plain,
( product(g1,b,d2,b)
| ~ spl2_3
| ~ spl2_9 ),
inference(forward_demodulation,[],[f760,f318]) ).
fof(f760,plain,
( product(g1,b,d2,d3)
| ~ spl2_3 ),
inference(superposition,[],[f44,f292]) ).
fof(f791,plain,
( ~ product(g1,b,c,b)
| spl2_8
| ~ spl2_9 ),
inference(forward_demodulation,[],[f770,f318]) ).
fof(f770,plain,
( ~ product(g1,b,c,d3)
| spl2_8 ),
inference(unit_resulting_resolution,[],[f26,f313,f9]) ).
fof(f26,axiom,
product(g1,b,c,a),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',b_times_c_is_a) ).
fof(f789,plain,
( ~ spl2_3
| ~ spl2_4
| spl2_8 ),
inference(avatar_contradiction_clause,[],[f788]) ).
fof(f788,plain,
( $false
| ~ spl2_3
| ~ spl2_4
| spl2_8 ),
inference(subsumption_resolution,[],[f787,f26]) ).
fof(f787,plain,
( ~ product(g1,b,c,a)
| ~ spl2_3
| ~ spl2_4
| spl2_8 ),
inference(forward_demodulation,[],[f786,f292]) ).
fof(f786,plain,
( ~ product(g1,d1,c,a)
| ~ spl2_4
| spl2_8 ),
inference(forward_demodulation,[],[f772,f297]) ).
fof(f772,plain,
( ~ product(g1,d1,d2,a)
| spl2_8 ),
inference(unit_resulting_resolution,[],[f44,f313,f9]) ).
fof(f756,plain,
( ~ spl2_1
| ~ spl2_4
| ~ spl2_9 ),
inference(avatar_contradiction_clause,[],[f755]) ).
fof(f755,plain,
( $false
| ~ spl2_1
| ~ spl2_4
| ~ spl2_9 ),
inference(subsumption_resolution,[],[f754,f37]) ).
fof(f37,axiom,
product(g2,h,h,g),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',h_times_h_is_g) ).
fof(f754,plain,
( ~ product(g2,h,h,g)
| ~ spl2_1
| ~ spl2_4
| ~ spl2_9 ),
inference(forward_demodulation,[],[f753,f40]) ).
fof(f753,plain,
( ~ product(g2,an_isomorphism(c),h,g)
| ~ spl2_1
| ~ spl2_4
| ~ spl2_9 ),
inference(forward_demodulation,[],[f752,f284]) ).
fof(f752,plain,
( ~ product(g2,an_isomorphism(d1),h,g)
| ~ spl2_4
| ~ spl2_9 ),
inference(forward_demodulation,[],[f751,f40]) ).
fof(f751,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(c),g)
| ~ spl2_4
| ~ spl2_9 ),
inference(forward_demodulation,[],[f750,f39]) ).
fof(f750,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(c),an_isomorphism(b))
| ~ spl2_4
| ~ spl2_9 ),
inference(forward_demodulation,[],[f590,f318]) ).
fof(f590,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(c),an_isomorphism(d3))
| ~ spl2_4 ),
inference(superposition,[],[f45,f297]) ).
fof(f743,plain,
( ~ spl2_4
| spl2_5
| ~ spl2_8
| ~ spl2_9 ),
inference(avatar_contradiction_clause,[],[f742]) ).
fof(f742,plain,
( $false
| ~ spl2_4
| spl2_5
| ~ spl2_8
| ~ spl2_9 ),
inference(subsumption_resolution,[],[f730,f666]) ).
fof(f666,plain,
( ~ product(g1,c,a,a)
| ~ spl2_4
| spl2_5 ),
inference(unit_resulting_resolution,[],[f24,f606,f9]) ).
fof(f606,plain,
( a != c
| ~ spl2_4
| spl2_5 ),
inference(superposition,[],[f300,f297]) ).
fof(f730,plain,
( product(g1,c,a,a)
| ~ spl2_8
| ~ spl2_9 ),
inference(superposition,[],[f27,f713]) ).
fof(f713,plain,
( a = b
| ~ spl2_8
| ~ spl2_9 ),
inference(forward_demodulation,[],[f318,f314]) ).
fof(f710,plain,
( ~ spl2_3
| ~ spl2_4
| ~ spl2_8 ),
inference(avatar_contradiction_clause,[],[f709]) ).
fof(f709,plain,
( $false
| ~ spl2_3
| ~ spl2_4
| ~ spl2_8 ),
inference(subsumption_resolution,[],[f708,f35]) ).
fof(f35,axiom,
product(g2,g,h,f),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',g_times_h_is_f) ).
fof(f708,plain,
( ~ product(g2,g,h,f)
| ~ spl2_3
| ~ spl2_4
| ~ spl2_8 ),
inference(forward_demodulation,[],[f707,f39]) ).
fof(f707,plain,
( ~ product(g2,an_isomorphism(b),h,f)
| ~ spl2_3
| ~ spl2_4
| ~ spl2_8 ),
inference(forward_demodulation,[],[f706,f40]) ).
fof(f706,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(c),f)
| ~ spl2_3
| ~ spl2_4
| ~ spl2_8 ),
inference(forward_demodulation,[],[f705,f297]) ).
fof(f705,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(d2),f)
| ~ spl2_3
| ~ spl2_8 ),
inference(forward_demodulation,[],[f704,f38]) ).
fof(f704,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(d2),an_isomorphism(a))
| ~ spl2_3
| ~ spl2_8 ),
inference(forward_demodulation,[],[f701,f314]) ).
fof(f701,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(d2),an_isomorphism(d3))
| ~ spl2_3 ),
inference(superposition,[],[f45,f292]) ).
fof(f686,plain,
( ~ spl2_1
| ~ spl2_4
| ~ spl2_8
| spl2_9 ),
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f685,plain,
( $false
| ~ spl2_1
| ~ spl2_4
| ~ spl2_8
| spl2_9 ),
inference(subsumption_resolution,[],[f684,f648]) ).
fof(f648,plain,
( ~ product(g1,c,c,a)
| ~ spl2_8
| spl2_9 ),
inference(forward_demodulation,[],[f646,f314]) ).
fof(f646,plain,
( ~ product(g1,c,c,d3)
| spl2_9 ),
inference(unit_resulting_resolution,[],[f28,f317,f9]) ).
fof(f684,plain,
( product(g1,c,c,a)
| ~ spl2_1
| ~ spl2_4
| ~ spl2_8 ),
inference(forward_demodulation,[],[f683,f297]) ).
fof(f683,plain,
( product(g1,c,d2,a)
| ~ spl2_1
| ~ spl2_8 ),
inference(forward_demodulation,[],[f677,f314]) ).
fof(f677,plain,
( product(g1,c,d2,d3)
| ~ spl2_1 ),
inference(superposition,[],[f44,f284]) ).
fof(f673,plain,
( ~ spl2_2
| ~ spl2_4
| spl2_5
| ~ spl2_8 ),
inference(avatar_contradiction_clause,[],[f672]) ).
fof(f672,plain,
( $false
| ~ spl2_2
| ~ spl2_4
| spl2_5
| ~ spl2_8 ),
inference(subsumption_resolution,[],[f661,f599]) ).
fof(f599,plain,
( product(g1,a,c,a)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_8 ),
inference(forward_demodulation,[],[f598,f288]) ).
fof(f288,plain,
( a = d1
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f598,plain,
( product(g1,d1,c,a)
| ~ spl2_4
| ~ spl2_8 ),
inference(forward_demodulation,[],[f591,f314]) ).
fof(f591,plain,
( product(g1,d1,c,d3)
| ~ spl2_4 ),
inference(superposition,[],[f44,f297]) ).
fof(f661,plain,
( ~ product(g1,a,c,a)
| ~ spl2_4
| spl2_5 ),
inference(unit_resulting_resolution,[],[f23,f606,f9]) ).
fof(f23,axiom,
product(g1,a,c,c),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',a_times_c_is_c) ).
fof(f588,plain,
( ~ spl2_2
| ~ spl2_5
| spl2_8
| ~ spl2_9 ),
inference(avatar_contradiction_clause,[],[f587]) ).
fof(f587,plain,
( $false
| ~ spl2_2
| ~ spl2_5
| spl2_8
| ~ spl2_9 ),
inference(subsumption_resolution,[],[f586,f537]) ).
fof(f537,plain,
( ~ product(g1,a,a,b)
| spl2_8
| ~ spl2_9 ),
inference(forward_demodulation,[],[f520,f318]) ).
fof(f520,plain,
( ~ product(g1,a,a,d3)
| spl2_8 ),
inference(unit_resulting_resolution,[],[f20,f313,f9]) ).
fof(f586,plain,
( product(g1,a,a,b)
| ~ spl2_2
| ~ spl2_5
| ~ spl2_9 ),
inference(forward_demodulation,[],[f585,f288]) ).
fof(f585,plain,
( product(g1,d1,a,b)
| ~ spl2_5
| ~ spl2_9 ),
inference(forward_demodulation,[],[f578,f318]) ).
fof(f578,plain,
( product(g1,d1,a,d3)
| ~ spl2_5 ),
inference(superposition,[],[f44,f301]) ).
fof(f575,plain,
( ~ spl2_2
| ~ spl2_4
| spl2_7
| ~ spl2_9 ),
inference(avatar_contradiction_clause,[],[f574]) ).
fof(f574,plain,
( $false
| ~ spl2_2
| ~ spl2_4
| spl2_7
| ~ spl2_9 ),
inference(subsumption_resolution,[],[f573,f518]) ).
fof(f518,plain,
( ~ product(g1,a,c,b)
| spl2_7
| ~ spl2_9 ),
inference(forward_demodulation,[],[f501,f318]) ).
fof(f501,plain,
( ~ product(g1,a,c,d3)
| spl2_7 ),
inference(unit_resulting_resolution,[],[f23,f309,f9]) ).
fof(f573,plain,
( product(g1,a,c,b)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_9 ),
inference(forward_demodulation,[],[f572,f288]) ).
fof(f572,plain,
( product(g1,d1,c,b)
| ~ spl2_4
| ~ spl2_9 ),
inference(forward_demodulation,[],[f565,f318]) ).
fof(f565,plain,
( product(g1,d1,c,d3)
| ~ spl2_4 ),
inference(superposition,[],[f44,f297]) ).
fof(f549,plain,
( ~ spl2_2
| ~ spl2_6
| ~ spl2_9 ),
inference(avatar_contradiction_clause,[],[f548]) ).
fof(f548,plain,
( $false
| ~ spl2_2
| ~ spl2_6
| ~ spl2_9 ),
inference(subsumption_resolution,[],[f547,f30]) ).
fof(f30,axiom,
product(g2,f,g,g),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',f_times_g_is_g) ).
fof(f547,plain,
( ~ product(g2,f,g,g)
| ~ spl2_2
| ~ spl2_6
| ~ spl2_9 ),
inference(forward_demodulation,[],[f546,f38]) ).
fof(f546,plain,
( ~ product(g2,an_isomorphism(a),g,g)
| ~ spl2_2
| ~ spl2_6
| ~ spl2_9 ),
inference(forward_demodulation,[],[f545,f288]) ).
fof(f545,plain,
( ~ product(g2,an_isomorphism(d1),g,g)
| ~ spl2_6
| ~ spl2_9 ),
inference(forward_demodulation,[],[f544,f39]) ).
fof(f544,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(b),g)
| ~ spl2_6
| ~ spl2_9 ),
inference(forward_demodulation,[],[f543,f305]) ).
fof(f543,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(d2),g)
| ~ spl2_9 ),
inference(forward_demodulation,[],[f540,f39]) ).
fof(f540,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(d2),an_isomorphism(b))
| ~ spl2_9 ),
inference(superposition,[],[f45,f318]) ).
fof(f478,plain,
( ~ spl2_2
| ~ spl2_5
| ~ spl2_8 ),
inference(avatar_contradiction_clause,[],[f477]) ).
fof(f477,plain,
( $false
| ~ spl2_2
| ~ spl2_5
| ~ spl2_8 ),
inference(subsumption_resolution,[],[f476,f29]) ).
fof(f29,axiom,
product(g2,f,f,f),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',f_times_f_is_f) ).
fof(f476,plain,
( ~ product(g2,f,f,f)
| ~ spl2_2
| ~ spl2_5
| ~ spl2_8 ),
inference(forward_demodulation,[],[f475,f38]) ).
fof(f475,plain,
( ~ product(g2,an_isomorphism(a),f,f)
| ~ spl2_2
| ~ spl2_5
| ~ spl2_8 ),
inference(forward_demodulation,[],[f474,f288]) ).
fof(f474,plain,
( ~ product(g2,an_isomorphism(d1),f,f)
| ~ spl2_5
| ~ spl2_8 ),
inference(forward_demodulation,[],[f473,f38]) ).
fof(f473,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(a),an_isomorphism(a))
| ~ spl2_5
| ~ spl2_8 ),
inference(forward_demodulation,[],[f470,f314]) ).
fof(f470,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(a),an_isomorphism(d3))
| ~ spl2_5 ),
inference(superposition,[],[f45,f301]) ).
fof(f466,plain,
( ~ spl2_2
| spl2_5
| ~ spl2_6
| ~ spl2_8 ),
inference(avatar_contradiction_clause,[],[f465]) ).
fof(f465,plain,
( $false
| ~ spl2_2
| spl2_5
| ~ spl2_6
| ~ spl2_8 ),
inference(subsumption_resolution,[],[f464,f423]) ).
fof(f423,plain,
( ~ product(g1,a,b,a)
| spl2_5
| ~ spl2_6 ),
inference(unit_resulting_resolution,[],[f21,f401,f9]) ).
fof(f401,plain,
( a != b
| spl2_5
| ~ spl2_6 ),
inference(superposition,[],[f300,f305]) ).
fof(f21,axiom,
product(g1,a,b,b),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',a_times_b_is_b) ).
fof(f464,plain,
( product(g1,a,b,a)
| ~ spl2_2
| ~ spl2_6
| ~ spl2_8 ),
inference(forward_demodulation,[],[f463,f288]) ).
fof(f463,plain,
( product(g1,d1,b,a)
| ~ spl2_6
| ~ spl2_8 ),
inference(forward_demodulation,[],[f456,f305]) ).
fof(f456,plain,
( product(g1,d1,d2,a)
| ~ spl2_8 ),
inference(superposition,[],[f44,f314]) ).
fof(f445,plain,
( ~ spl2_2
| spl2_4
| ~ spl2_6
| ~ spl2_7 ),
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f444,plain,
( $false
| ~ spl2_2
| spl2_4
| ~ spl2_6
| ~ spl2_7 ),
inference(subsumption_resolution,[],[f429,f412]) ).
fof(f412,plain,
( product(g1,a,b,c)
| ~ spl2_2
| ~ spl2_6
| ~ spl2_7 ),
inference(forward_demodulation,[],[f411,f288]) ).
fof(f411,plain,
( product(g1,d1,b,c)
| ~ spl2_6
| ~ spl2_7 ),
inference(forward_demodulation,[],[f404,f310]) ).
fof(f404,plain,
( product(g1,d1,b,d3)
| ~ spl2_6 ),
inference(superposition,[],[f44,f305]) ).
fof(f429,plain,
( ~ product(g1,a,b,c)
| spl2_4
| ~ spl2_6 ),
inference(unit_resulting_resolution,[],[f21,f402,f9]) ).
fof(f402,plain,
( b != c
| spl2_4
| ~ spl2_6 ),
inference(superposition,[],[f296,f305]) ).
fof(f296,plain,
( c != d2
| spl2_4 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f372,plain,
( ~ spl2_2
| spl2_4
| ~ spl2_5
| ~ spl2_7 ),
inference(avatar_contradiction_clause,[],[f371]) ).
fof(f371,plain,
( $false
| ~ spl2_2
| spl2_4
| ~ spl2_5
| ~ spl2_7 ),
inference(subsumption_resolution,[],[f357,f343]) ).
fof(f343,plain,
( product(g1,a,a,c)
| ~ spl2_2
| ~ spl2_5
| ~ spl2_7 ),
inference(forward_demodulation,[],[f342,f288]) ).
fof(f342,plain,
( product(g1,d1,a,c)
| ~ spl2_5
| ~ spl2_7 ),
inference(forward_demodulation,[],[f335,f310]) ).
fof(f335,plain,
( product(g1,d1,a,d3)
| ~ spl2_5 ),
inference(superposition,[],[f44,f301]) ).
fof(f357,plain,
( ~ product(g1,a,a,c)
| spl2_4
| ~ spl2_5 ),
inference(unit_resulting_resolution,[],[f20,f333,f9]) ).
fof(f333,plain,
( a != c
| spl2_4
| ~ spl2_5 ),
inference(forward_demodulation,[],[f296,f301]) ).
fof(f329,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_7 ),
inference(avatar_contradiction_clause,[],[f328]) ).
fof(f328,plain,
( $false
| ~ spl2_2
| ~ spl2_4
| ~ spl2_7 ),
inference(subsumption_resolution,[],[f327,f32]) ).
fof(f32,axiom,
product(g2,f,h,h),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',f_times_h_is_h) ).
fof(f327,plain,
( ~ product(g2,f,h,h)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_7 ),
inference(forward_demodulation,[],[f326,f38]) ).
fof(f326,plain,
( ~ product(g2,an_isomorphism(a),h,h)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_7 ),
inference(forward_demodulation,[],[f325,f40]) ).
fof(f325,plain,
( ~ product(g2,an_isomorphism(a),an_isomorphism(c),h)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_7 ),
inference(forward_demodulation,[],[f324,f297]) ).
fof(f324,plain,
( ~ product(g2,an_isomorphism(a),an_isomorphism(d2),h)
| ~ spl2_2
| ~ spl2_7 ),
inference(forward_demodulation,[],[f323,f40]) ).
fof(f323,plain,
( ~ product(g2,an_isomorphism(a),an_isomorphism(d2),an_isomorphism(c))
| ~ spl2_2
| ~ spl2_7 ),
inference(forward_demodulation,[],[f320,f310]) ).
fof(f320,plain,
( ~ product(g2,an_isomorphism(a),an_isomorphism(d2),an_isomorphism(d3))
| ~ spl2_2 ),
inference(superposition,[],[f45,f288]) ).
fof(f319,plain,
( spl2_7
| spl2_8
| spl2_9 ),
inference(avatar_split_clause,[],[f280,f316,f312,f308]) ).
fof(f280,plain,
( b = d3
| a = d3
| c = d3 ),
inference(resolution,[],[f18,f43]) ).
fof(f43,axiom,
group_member(d3,g1),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',d3_in_group1) ).
fof(f18,axiom,
! [X1] :
( ~ group_member(X1,g1)
| b = X1
| a = X1
| c = X1 ),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',all_of_group1) ).
fof(f306,plain,
( spl2_4
| spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f279,f303,f299,f295]) ).
fof(f279,plain,
( b = d2
| a = d2
| c = d2 ),
inference(resolution,[],[f18,f42]) ).
fof(f42,axiom,
group_member(d2,g1),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',d2_in_group1) ).
fof(f293,plain,
( spl2_1
| spl2_2
| spl2_3 ),
inference(avatar_split_clause,[],[f278,f290,f286,f282]) ).
fof(f278,plain,
( b = d1
| a = d1
| c = d1 ),
inference(resolution,[],[f18,f41]) ).
fof(f41,axiom,
group_member(d1,g1),
file('/export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950',d1_in_group1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GRP026-1 : TPTP v8.1.2. Bugfixed v2.0.0.
% 0.09/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri May 3 20:44:07 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.10/0.30 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.H8VJBxd8pv/Vampire---4.8_13950
% 0.37/0.62 % (14062)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.37/0.62 % (14065)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.37/0.62 % (14058)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.37/0.62 % (14060)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.37/0.62 % (14061)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.37/0.62 % (14064)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.37/0.62 % (14059)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.37/0.62 % (14063)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.46/0.63 % (14062)Instruction limit reached!
% 0.46/0.63 % (14062)------------------------------
% 0.46/0.63 % (14062)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.63 % (14062)Termination reason: Unknown
% 0.46/0.63 % (14062)Termination phase: Saturation
% 0.46/0.63
% 0.46/0.63 % (14062)Memory used [KB]: 1208
% 0.46/0.63 % (14062)Time elapsed: 0.011 s
% 0.46/0.63 % (14062)Instructions burned: 36 (million)
% 0.46/0.63 % (14062)------------------------------
% 0.46/0.63 % (14062)------------------------------
% 0.46/0.63 % (14065)Instruction limit reached!
% 0.46/0.63 % (14065)------------------------------
% 0.46/0.63 % (14065)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.63 % (14065)Termination reason: Unknown
% 0.46/0.63 % (14065)Termination phase: Saturation
% 0.46/0.63
% 0.46/0.63 % (14065)Memory used [KB]: 1112
% 0.46/0.63 % (14065)Time elapsed: 0.013 s
% 0.46/0.63 % (14065)Instructions burned: 57 (million)
% 0.46/0.63 % (14065)------------------------------
% 0.46/0.63 % (14065)------------------------------
% 0.46/0.63 % (14066)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.46/0.63 % (14058)Instruction limit reached!
% 0.46/0.63 % (14058)------------------------------
% 0.46/0.63 % (14058)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.63 % (14058)Termination reason: Unknown
% 0.46/0.63 % (14058)Termination phase: Saturation
% 0.46/0.63
% 0.46/0.63 % (14058)Memory used [KB]: 1143
% 0.46/0.63 % (14058)Time elapsed: 0.014 s
% 0.46/0.63 % (14058)Instructions burned: 36 (million)
% 0.46/0.63 % (14058)------------------------------
% 0.46/0.63 % (14058)------------------------------
% 0.46/0.64 % (14061)Instruction limit reached!
% 0.46/0.64 % (14061)------------------------------
% 0.46/0.64 % (14061)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.64 % (14061)Termination reason: Unknown
% 0.46/0.64 % (14061)Termination phase: Saturation
% 0.46/0.64
% 0.46/0.64 % (14061)Memory used [KB]: 1314
% 0.46/0.64 % (14061)Time elapsed: 0.015 s
% 0.46/0.64 % (14061)Instructions burned: 33 (million)
% 0.46/0.64 % (14061)------------------------------
% 0.46/0.64 % (14061)------------------------------
% 0.46/0.64 % (14067)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.46/0.64 % (14066)Refutation not found, incomplete strategy% (14066)------------------------------
% 0.46/0.64 % (14066)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.64 % (14066)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.64
% 0.46/0.64 % (14066)Memory used [KB]: 1008
% 0.46/0.64 % (14066)Time elapsed: 0.003 s
% 0.46/0.64 % (14066)Instructions burned: 11 (million)
% 0.46/0.64 % (14066)------------------------------
% 0.46/0.64 % (14066)------------------------------
% 0.46/0.64 % (14068)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.46/0.64 % (14064)First to succeed.
% 0.46/0.64 % (14069)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.46/0.64 % (14070)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.46/0.64 % (14064)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14057"
% 0.46/0.64 % (14064)Refutation found. Thanks to Tanya!
% 0.46/0.64 % SZS status Unsatisfiable for Vampire---4
% 0.46/0.64 % SZS output start Proof for Vampire---4
% See solution above
% 0.46/0.64 % (14064)------------------------------
% 0.46/0.64 % (14064)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.64 % (14064)Termination reason: Refutation
% 0.46/0.64
% 0.46/0.64 % (14064)Memory used [KB]: 1285
% 0.46/0.64 % (14064)Time elapsed: 0.018 s
% 0.46/0.64 % (14064)Instructions burned: 43 (million)
% 0.46/0.64 % (14057)Success in time 0.321 s
% 0.46/0.64 % Vampire---4.8 exiting
%------------------------------------------------------------------------------