TSTP Solution File: GRP025-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP025-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : n028.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 May 1 02:25:55 EDT 2024
% Result : Unsatisfiable 0.59s 0.75s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 23
% Syntax : Number of formulae : 97 ( 16 unt; 0 def)
% Number of atoms : 257 ( 29 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 329 ( 169 ~; 154 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-1 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f393,plain,
$false,
inference(avatar_sat_refutation,[],[f177,f186,f195,f205,f246,f255,f285,f288,f301,f350,f364,f392]) ).
fof(f392,plain,
( ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| spl2_6 ),
inference(avatar_contradiction_clause,[],[f391]) ).
fof(f391,plain,
( $false
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5
| spl2_6 ),
inference(subsumption_resolution,[],[f390,f337]) ).
fof(f337,plain,
( ~ product(g1,b,b,b)
| ~ spl2_5
| spl2_6 ),
inference(forward_demodulation,[],[f335,f190]) ).
fof(f190,plain,
( b = d3
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f188,plain,
( spl2_5
<=> b = d3 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f335,plain,
( ~ product(g1,b,b,d3)
| spl2_6 ),
inference(unit_resulting_resolution,[],[f21,f193,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.USjdyAihDl/Vampire---4.8_14082',total_function2) ).
fof(f193,plain,
( a != d3
| spl2_6 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f192,plain,
( spl2_6
<=> a = d3 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f21,axiom,
product(g1,b,b,a),
file('/export/starexec/sandbox/tmp/tmp.USjdyAihDl/Vampire---4.8_14082',b_times_b_is_a) ).
fof(f390,plain,
( product(g1,b,b,b)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_5 ),
inference(forward_demodulation,[],[f389,f172]) ).
fof(f172,plain,
( b = d1
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl2_1
<=> b = d1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f389,plain,
( product(g1,d1,b,b)
| ~ spl2_3
| ~ spl2_5 ),
inference(forward_demodulation,[],[f383,f190]) ).
fof(f383,plain,
( product(g1,d1,b,d3)
| ~ spl2_3 ),
inference(superposition,[],[f31,f181]) ).
fof(f181,plain,
( b = d2
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl2_3
<=> b = d2 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f31,axiom,
product(g1,d1,d2,d3),
file('/export/starexec/sandbox/tmp/tmp.USjdyAihDl/Vampire---4.8_14082',d1_times_d2_is_d3) ).
fof(f364,plain,
( ~ spl2_1
| ~ spl2_4
| ~ spl2_5 ),
inference(avatar_contradiction_clause,[],[f363]) ).
fof(f363,plain,
( $false
| ~ spl2_1
| ~ spl2_4
| ~ spl2_5 ),
inference(subsumption_resolution,[],[f362,f24]) ).
fof(f24,axiom,
product(g2,d,c,d),
file('/export/starexec/sandbox/tmp/tmp.USjdyAihDl/Vampire---4.8_14082',d_times_c_is_d) ).
fof(f362,plain,
( ~ product(g2,d,c,d)
| ~ spl2_1
| ~ spl2_4
| ~ spl2_5 ),
inference(forward_demodulation,[],[f361,f26]) ).
fof(f26,axiom,
c = an_isomorphism(a),
file('/export/starexec/sandbox/tmp/tmp.USjdyAihDl/Vampire---4.8_14082',a_maps_to_c) ).
fof(f361,plain,
( ~ product(g2,d,an_isomorphism(a),d)
| ~ spl2_1
| ~ spl2_4
| ~ spl2_5 ),
inference(forward_demodulation,[],[f360,f185]) ).
fof(f185,plain,
( a = d2
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f183,plain,
( spl2_4
<=> a = d2 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f360,plain,
( ~ product(g2,d,an_isomorphism(d2),d)
| ~ spl2_1
| ~ spl2_5 ),
inference(forward_demodulation,[],[f359,f27]) ).
fof(f27,axiom,
d = an_isomorphism(b),
file('/export/starexec/sandbox/tmp/tmp.USjdyAihDl/Vampire---4.8_14082',b_maps_to_d) ).
fof(f359,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(d2),an_isomorphism(b))
| ~ spl2_1
| ~ spl2_5 ),
inference(forward_demodulation,[],[f356,f190]) ).
fof(f356,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(d2),an_isomorphism(d3))
| ~ spl2_1 ),
inference(superposition,[],[f32,f172]) ).
fof(f32,axiom,
~ product(g2,an_isomorphism(d1),an_isomorphism(d2),an_isomorphism(d3)),
file('/export/starexec/sandbox/tmp/tmp.USjdyAihDl/Vampire---4.8_14082',prove_product_holds_in_group2) ).
fof(f350,plain,
( ~ spl2_2
| ~ spl2_4
| spl2_6 ),
inference(avatar_contradiction_clause,[],[f349]) ).
fof(f349,plain,
( $false
| ~ spl2_2
| ~ spl2_4
| spl2_6 ),
inference(subsumption_resolution,[],[f330,f306]) ).
fof(f306,plain,
( product(g1,a,a,d3)
| ~ spl2_2
| ~ spl2_4 ),
inference(forward_demodulation,[],[f276,f176]) ).
fof(f176,plain,
( a = d1
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f174,plain,
( spl2_2
<=> a = d1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f276,plain,
( product(g1,d1,a,d3)
| ~ spl2_4 ),
inference(superposition,[],[f31,f185]) ).
fof(f330,plain,
( ~ product(g1,a,a,d3)
| spl2_6 ),
inference(unit_resulting_resolution,[],[f18,f193,f9]) ).
fof(f18,axiom,
product(g1,a,a,a),
file('/export/starexec/sandbox/tmp/tmp.USjdyAihDl/Vampire---4.8_14082',a_times_a_is_a) ).
fof(f301,plain,
( ~ spl2_2
| ~ spl2_4
| ~ spl2_6 ),
inference(avatar_contradiction_clause,[],[f300]) ).
fof(f300,plain,
( $false
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f299,f22]) ).
fof(f22,axiom,
product(g2,c,c,c),
file('/export/starexec/sandbox/tmp/tmp.USjdyAihDl/Vampire---4.8_14082',c_times_c_is_c) ).
fof(f299,plain,
( ~ product(g2,c,c,c)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6 ),
inference(forward_demodulation,[],[f298,f26]) ).
fof(f298,plain,
( ~ product(g2,an_isomorphism(a),c,c)
| ~ spl2_2
| ~ spl2_4
| ~ spl2_6 ),
inference(forward_demodulation,[],[f297,f176]) ).
fof(f297,plain,
( ~ product(g2,an_isomorphism(d1),c,c)
| ~ spl2_4
| ~ spl2_6 ),
inference(forward_demodulation,[],[f296,f26]) ).
fof(f296,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(a),c)
| ~ spl2_4
| ~ spl2_6 ),
inference(forward_demodulation,[],[f226,f185]) ).
fof(f226,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(d2),c)
| ~ spl2_6 ),
inference(forward_demodulation,[],[f223,f26]) ).
fof(f223,plain,
( ~ product(g2,an_isomorphism(d1),an_isomorphism(d2),an_isomorphism(a))
| ~ spl2_6 ),
inference(superposition,[],[f32,f194]) ).
fof(f194,plain,
( a = d3
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f288,plain,
( ~ spl2_1
| spl2_2
| ~ spl2_5
| ~ spl2_6 ),
inference(avatar_contradiction_clause,[],[f287]) ).
fof(f287,plain,
( $false
| ~ spl2_1
| spl2_2
| ~ spl2_5
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f286,f268]) ).
fof(f268,plain,
( a != b
| ~ spl2_1
| spl2_2 ),
inference(superposition,[],[f175,f172]) ).
fof(f175,plain,
( a != d1
| spl2_2 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f286,plain,
( a = b
| ~ spl2_5
| ~ spl2_6 ),
inference(forward_demodulation,[],[f190,f194]) ).
fof(f285,plain,
( ~ spl2_1
| ~ spl2_4
| spl2_5
| ~ spl2_6 ),
inference(avatar_contradiction_clause,[],[f284]) ).
fof(f284,plain,
( $false
| ~ spl2_1
| ~ spl2_4
| spl2_5
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f283,f240]) ).
fof(f240,plain,
( ~ product(g1,b,a,a)
| spl2_5
| ~ spl2_6 ),
inference(unit_resulting_resolution,[],[f20,f212,f9]) ).
fof(f212,plain,
( a != b
| spl2_5
| ~ spl2_6 ),
inference(forward_demodulation,[],[f189,f194]) ).
fof(f189,plain,
( b != d3
| spl2_5 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f20,axiom,
product(g1,b,a,b),
file('/export/starexec/sandbox/tmp/tmp.USjdyAihDl/Vampire---4.8_14082',b_times_a_is_b) ).
fof(f283,plain,
( product(g1,b,a,a)
| ~ spl2_1
| ~ spl2_4
| ~ spl2_6 ),
inference(forward_demodulation,[],[f282,f172]) ).
fof(f282,plain,
( product(g1,d1,a,a)
| ~ spl2_4
| ~ spl2_6 ),
inference(forward_demodulation,[],[f276,f194]) ).
fof(f255,plain,
( ~ spl2_1
| ~ spl2_3
| ~ spl2_6 ),
inference(avatar_contradiction_clause,[],[f254]) ).
fof(f254,plain,
( $false
| ~ spl2_1
| ~ spl2_3
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f253,f25]) ).
fof(f25,axiom,
product(g2,d,d,c),
file('/export/starexec/sandbox/tmp/tmp.USjdyAihDl/Vampire---4.8_14082',d_times_d_is_c) ).
fof(f253,plain,
( ~ product(g2,d,d,c)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_6 ),
inference(forward_demodulation,[],[f252,f27]) ).
fof(f252,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(b),c)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_6 ),
inference(forward_demodulation,[],[f251,f181]) ).
fof(f251,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(d2),c)
| ~ spl2_1
| ~ spl2_6 ),
inference(forward_demodulation,[],[f250,f26]) ).
fof(f250,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(d2),an_isomorphism(a))
| ~ spl2_1
| ~ spl2_6 ),
inference(forward_demodulation,[],[f247,f194]) ).
fof(f247,plain,
( ~ product(g2,an_isomorphism(b),an_isomorphism(d2),an_isomorphism(d3))
| ~ spl2_1 ),
inference(superposition,[],[f32,f172]) ).
fof(f246,plain,
( ~ spl2_2
| ~ spl2_3
| spl2_5
| ~ spl2_6 ),
inference(avatar_contradiction_clause,[],[f245]) ).
fof(f245,plain,
( $false
| ~ spl2_2
| ~ spl2_3
| spl2_5
| ~ spl2_6 ),
inference(subsumption_resolution,[],[f236,f222]) ).
fof(f222,plain,
( product(g1,a,b,a)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_6 ),
inference(forward_demodulation,[],[f221,f176]) ).
fof(f221,plain,
( product(g1,d1,b,a)
| ~ spl2_3
| ~ spl2_6 ),
inference(forward_demodulation,[],[f214,f194]) ).
fof(f214,plain,
( product(g1,d1,b,d3)
| ~ spl2_3 ),
inference(superposition,[],[f31,f181]) ).
fof(f236,plain,
( ~ product(g1,a,b,a)
| spl2_5
| ~ spl2_6 ),
inference(unit_resulting_resolution,[],[f19,f212,f9]) ).
fof(f19,axiom,
product(g1,a,b,b),
file('/export/starexec/sandbox/tmp/tmp.USjdyAihDl/Vampire---4.8_14082',a_times_b_is_b) ).
fof(f205,plain,
( ~ spl2_2
| ~ spl2_3
| ~ spl2_5 ),
inference(avatar_contradiction_clause,[],[f204]) ).
fof(f204,plain,
( $false
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5 ),
inference(subsumption_resolution,[],[f203,f23]) ).
fof(f23,axiom,
product(g2,c,d,d),
file('/export/starexec/sandbox/tmp/tmp.USjdyAihDl/Vampire---4.8_14082',c_times_d_is_d) ).
fof(f203,plain,
( ~ product(g2,c,d,d)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5 ),
inference(forward_demodulation,[],[f202,f26]) ).
fof(f202,plain,
( ~ product(g2,an_isomorphism(a),d,d)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5 ),
inference(forward_demodulation,[],[f201,f27]) ).
fof(f201,plain,
( ~ product(g2,an_isomorphism(a),an_isomorphism(b),d)
| ~ spl2_2
| ~ spl2_3
| ~ spl2_5 ),
inference(forward_demodulation,[],[f200,f181]) ).
fof(f200,plain,
( ~ product(g2,an_isomorphism(a),an_isomorphism(d2),d)
| ~ spl2_2
| ~ spl2_5 ),
inference(forward_demodulation,[],[f199,f27]) ).
fof(f199,plain,
( ~ product(g2,an_isomorphism(a),an_isomorphism(d2),an_isomorphism(b))
| ~ spl2_2
| ~ spl2_5 ),
inference(forward_demodulation,[],[f196,f190]) ).
fof(f196,plain,
( ~ product(g2,an_isomorphism(a),an_isomorphism(d2),an_isomorphism(d3))
| ~ spl2_2 ),
inference(superposition,[],[f32,f176]) ).
fof(f195,plain,
( spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f168,f192,f188]) ).
fof(f168,plain,
( a = d3
| b = d3 ),
inference(resolution,[],[f16,f30]) ).
fof(f30,axiom,
group_member(d3,g1),
file('/export/starexec/sandbox/tmp/tmp.USjdyAihDl/Vampire---4.8_14082',d3_member_of_group1) ).
fof(f16,axiom,
! [X1] :
( ~ group_member(X1,g1)
| a = X1
| b = X1 ),
file('/export/starexec/sandbox/tmp/tmp.USjdyAihDl/Vampire---4.8_14082',a_and_b_only_members_of_group1) ).
fof(f186,plain,
( spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f167,f183,f179]) ).
fof(f167,plain,
( a = d2
| b = d2 ),
inference(resolution,[],[f16,f29]) ).
fof(f29,axiom,
group_member(d2,g1),
file('/export/starexec/sandbox/tmp/tmp.USjdyAihDl/Vampire---4.8_14082',d2_member_of_group1) ).
fof(f177,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f166,f174,f170]) ).
fof(f166,plain,
( a = d1
| b = d1 ),
inference(resolution,[],[f16,f28]) ).
fof(f28,axiom,
group_member(d1,g1),
file('/export/starexec/sandbox/tmp/tmp.USjdyAihDl/Vampire---4.8_14082',d1_member_of_group1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP025-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.15 % 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
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 18:42:15 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36 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.USjdyAihDl/Vampire---4.8_14082
% 0.53/0.74 % (14342)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)
% 0.53/0.74 % (14336)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)
% 0.53/0.74 % (14338)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.74 % (14340)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)
% 0.53/0.74 % (14337)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)
% 0.53/0.74 % (14341)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)
% 0.53/0.74 % (14339)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)
% 0.59/0.74 % (14342)First to succeed.
% 0.59/0.75 % (14342)Refutation found. Thanks to Tanya!
% 0.59/0.75 % SZS status Unsatisfiable for Vampire---4
% 0.59/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.75 % (14342)------------------------------
% 0.59/0.75 % (14342)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75 % (14342)Termination reason: Refutation
% 0.59/0.75
% 0.59/0.75 % (14342)Memory used [KB]: 1063
% 0.59/0.75 % (14342)Time elapsed: 0.006 s
% 0.59/0.75 % (14342)Instructions burned: 14 (million)
% 0.59/0.75 % (14342)------------------------------
% 0.59/0.75 % (14342)------------------------------
% 0.59/0.75 % (14331)Success in time 0.372 s
% 0.59/0.75 terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.59/0.75 14331 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.USjdyAihDl/Vampire---4.8_14082
% 0.59/0.75 % (14331)------------------------------
% 0.59/0.75 % (14331)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75 % (14331)Termination reason: Unknown
% 0.59/0.75 % (14331)Termination phase: Unknown
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% 0.59/0.75 % (14331)Memory used [KB]: 457
% 0.59/0.75 % (14331)Time elapsed: 0.372 s
% 0.59/0.75 % (14331)Instructions burned: 954 (million)
% 0.59/0.75 % (14331)------------------------------
% 0.59/0.75 % (14331)------------------------------
% 0.59/0.75 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
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% 0.59/0.75 % Vampire---4.8 exiting
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