TSTP Solution File: GRP130-3.003 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP130-3.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n016.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 05:46:17 EDT 2024
% Result : Unsatisfiable 0.59s 0.77s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 22
% Syntax : Number of formulae : 73 ( 10 unt; 0 def)
% Number of atoms : 184 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 204 ( 93 ~; 103 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 9 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f476,plain,
$false,
inference(avatar_sat_refutation,[],[f109,f112,f140,f221,f226,f282,f312,f314,f379,f410,f414,f474]) ).
fof(f474,plain,
( ~ spl5_4
| ~ spl5_8
| spl5_13
| spl5_14 ),
inference(avatar_contradiction_clause,[],[f473]) ).
fof(f473,plain,
( $false
| ~ spl5_4
| ~ spl5_8
| spl5_13
| spl5_14 ),
inference(subsumption_resolution,[],[f468,f425]) ).
fof(f425,plain,
( ~ product(e_1,e_1,e_2)
| ~ spl5_8 ),
inference(unit_resulting_resolution,[],[f21,f79,f28]) ).
fof(f28,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X3,X1)
| ~ product(X0,X2,X1)
| equalish(X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.0K3O29oe6U/Vampire---4.8_2175',product_right_cancellation) ).
fof(f79,plain,
( product(e_1,e_3,e_2)
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f77,plain,
( spl5_8
<=> product(e_1,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f21,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/tmp/tmp.0K3O29oe6U/Vampire---4.8_2175',e_1_is_not_e_3) ).
fof(f468,plain,
( product(e_1,e_1,e_2)
| ~ spl5_4
| spl5_13
| spl5_14 ),
inference(unit_resulting_resolution,[],[f18,f17,f63,f331,f335,f41]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ product(X0,e_3,X1)
| product(X1,X2,X0)
| product(X0,X2,e_2)
| product(X0,X2,e_1)
| ~ group_element(X2)
| ~ group_element(X0) ),
inference(resolution,[],[f30,f26]) ).
fof(f26,axiom,
! [X0,X1] :
( product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.0K3O29oe6U/Vampire---4.8_2175',product_total_function1) ).
fof(f30,axiom,
! [X0,X1,X4,X5] :
( ~ product(X0,X1,X4)
| ~ product(X0,X4,X5)
| product(X5,X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.0K3O29oe6U/Vampire---4.8_2175',qg3) ).
fof(f335,plain,
( ~ product(e_2,e_1,e_2)
| spl5_14 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f334,plain,
( spl5_14
<=> product(e_2,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).
fof(f331,plain,
( ~ product(e_2,e_1,e_1)
| spl5_13 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f330,plain,
( spl5_13
<=> product(e_2,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).
fof(f63,plain,
( product(e_2,e_3,e_1)
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl5_4
<=> product(e_2,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f17,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/tmp/tmp.0K3O29oe6U/Vampire---4.8_2175',element_1) ).
fof(f18,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/tmp/tmp.0K3O29oe6U/Vampire---4.8_2175',element_2) ).
fof(f414,plain,
( ~ spl5_14
| ~ spl5_4
| spl5_5 ),
inference(avatar_split_clause,[],[f413,f65,f61,f334]) ).
fof(f65,plain,
( spl5_5
<=> product(e_2,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f413,plain,
( ~ product(e_2,e_1,e_2)
| ~ spl5_4
| spl5_5 ),
inference(unit_resulting_resolution,[],[f63,f66,f30]) ).
fof(f66,plain,
( ~ product(e_2,e_3,e_2)
| spl5_5 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f410,plain,
( ~ spl5_13
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f392,f61,f330]) ).
fof(f392,plain,
( ~ product(e_2,e_1,e_1)
| ~ spl5_4 ),
inference(unit_resulting_resolution,[],[f24,f63,f28]) ).
fof(f24,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/tmp/tmp.0K3O29oe6U/Vampire---4.8_2175',e_3_is_not_e_1) ).
fof(f379,plain,
( ~ spl5_1
| ~ spl5_4 ),
inference(avatar_contradiction_clause,[],[f378]) ).
fof(f378,plain,
( $false
| ~ spl5_1
| ~ spl5_4 ),
inference(subsumption_resolution,[],[f365,f63]) ).
fof(f365,plain,
( ~ product(e_2,e_3,e_1)
| ~ spl5_1 ),
inference(unit_resulting_resolution,[],[f25,f51,f29]) ).
fof(f29,axiom,
! [X2,X3,X0,X1] :
( ~ product(X3,X1,X0)
| ~ product(X2,X1,X0)
| equalish(X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.0K3O29oe6U/Vampire---4.8_2175',product_left_cancellation) ).
fof(f51,plain,
( product(e_3,e_3,e_1)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl5_1
<=> product(e_3,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f25,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/tmp/tmp.0K3O29oe6U/Vampire---4.8_2175',e_3_is_not_e_2) ).
fof(f314,plain,
( spl5_1
| spl5_7
| spl5_8 ),
inference(avatar_split_clause,[],[f284,f77,f73,f49]) ).
fof(f73,plain,
( spl5_7
<=> product(e_1,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f284,plain,
( product(e_3,e_3,e_1)
| spl5_7
| spl5_8 ),
inference(unit_resulting_resolution,[],[f17,f19,f74,f78,f74,f78,f44]) ).
fof(f44,plain,
! [X0,X1] :
( ~ group_element(X1)
| product(X1,X0,e_2)
| product(X1,X0,e_1)
| ~ group_element(X0)
| product(e_3,X0,X1)
| product(X1,e_3,e_2)
| product(X1,e_3,e_1) ),
inference(subsumption_resolution,[],[f43,f19]) ).
fof(f43,plain,
! [X0,X1] :
( product(e_3,X0,X1)
| product(X1,X0,e_2)
| product(X1,X0,e_1)
| ~ group_element(X0)
| ~ group_element(X1)
| product(X1,e_3,e_2)
| product(X1,e_3,e_1)
| ~ group_element(e_3) ),
inference(duplicate_literal_removal,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( product(e_3,X0,X1)
| product(X1,X0,e_2)
| product(X1,X0,e_1)
| ~ group_element(X0)
| ~ group_element(X1)
| product(X1,e_3,e_2)
| product(X1,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(X1) ),
inference(resolution,[],[f41,f26]) ).
fof(f78,plain,
( ~ product(e_1,e_3,e_2)
| spl5_8 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f74,plain,
( ~ product(e_1,e_3,e_1)
| spl5_7 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f19,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/tmp/tmp.0K3O29oe6U/Vampire---4.8_2175',element_3) ).
fof(f312,plain,
( ~ spl5_5
| spl5_8 ),
inference(avatar_contradiction_clause,[],[f311]) ).
fof(f311,plain,
( $false
| ~ spl5_5
| spl5_8 ),
inference(subsumption_resolution,[],[f306,f288]) ).
fof(f288,plain,
( ~ product(e_2,e_2,e_1)
| ~ spl5_5
| spl5_8 ),
inference(unit_resulting_resolution,[],[f67,f78,f30]) ).
fof(f67,plain,
( product(e_2,e_3,e_2)
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f306,plain,
( product(e_2,e_2,e_1)
| ~ spl5_5 ),
inference(unit_resulting_resolution,[],[f18,f18,f260,f67,f260,f41]) ).
fof(f260,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl5_5 ),
inference(unit_resulting_resolution,[],[f23,f67,f28]) ).
fof(f23,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/tmp/tmp.0K3O29oe6U/Vampire---4.8_2175',e_2_is_not_e_3) ).
fof(f282,plain,
( ~ spl5_8
| ~ spl5_5 ),
inference(avatar_split_clause,[],[f267,f65,f77]) ).
fof(f267,plain,
( ~ product(e_1,e_3,e_2)
| ~ spl5_5 ),
inference(unit_resulting_resolution,[],[f20,f67,f29]) ).
fof(f20,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/tmp/tmp.0K3O29oe6U/Vampire---4.8_2175',e_1_is_not_e_2) ).
fof(f226,plain,
( spl5_2
| spl5_4
| spl5_5 ),
inference(avatar_split_clause,[],[f143,f65,f61,f53]) ).
fof(f53,plain,
( spl5_2
<=> product(e_3,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f143,plain,
( product(e_3,e_3,e_2)
| spl5_4
| spl5_5 ),
inference(unit_resulting_resolution,[],[f18,f19,f62,f66,f62,f66,f44]) ).
fof(f62,plain,
( ~ product(e_2,e_3,e_1)
| spl5_4 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f221,plain,
( spl5_4
| ~ spl5_7 ),
inference(avatar_contradiction_clause,[],[f220]) ).
fof(f220,plain,
( $false
| spl5_4
| ~ spl5_7 ),
inference(subsumption_resolution,[],[f215,f166]) ).
fof(f166,plain,
( ~ product(e_1,e_1,e_2)
| spl5_4
| ~ spl5_7 ),
inference(unit_resulting_resolution,[],[f62,f75,f30]) ).
fof(f75,plain,
( product(e_1,e_3,e_1)
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f215,plain,
( product(e_1,e_1,e_2)
| ~ spl5_7 ),
inference(unit_resulting_resolution,[],[f17,f17,f75,f157,f157,f41]) ).
fof(f157,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl5_7 ),
inference(unit_resulting_resolution,[],[f21,f75,f28]) ).
fof(f140,plain,
( ~ spl5_4
| ~ spl5_7 ),
inference(avatar_contradiction_clause,[],[f139]) ).
fof(f139,plain,
( $false
| ~ spl5_4
| ~ spl5_7 ),
inference(subsumption_resolution,[],[f127,f75]) ).
fof(f127,plain,
( ~ product(e_1,e_3,e_1)
| ~ spl5_4 ),
inference(unit_resulting_resolution,[],[f22,f63,f29]) ).
fof(f22,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/tmp/tmp.0K3O29oe6U/Vampire---4.8_2175',e_2_is_not_e_1) ).
fof(f112,plain,
( ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f85,f53,f49]) ).
fof(f85,plain,
( ~ product(e_3,e_3,e_1)
| ~ spl5_2 ),
inference(unit_resulting_resolution,[],[f22,f55,f27]) ).
fof(f27,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| equalish(X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.0K3O29oe6U/Vampire---4.8_2175',product_total_function2) ).
fof(f55,plain,
( product(e_3,e_3,e_2)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f109,plain,
( ~ spl5_8
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f97,f53,f77]) ).
fof(f97,plain,
( ~ product(e_1,e_3,e_2)
| ~ spl5_2 ),
inference(unit_resulting_resolution,[],[f24,f55,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP130-3.003 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n016.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 : Fri May 3 20:44:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_EPR_NEQ_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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.0K3O29oe6U/Vampire---4.8_2175
% 0.57/0.76 % (2559)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)
% 0.57/0.76 % (2553)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)
% 0.57/0.76 % (2555)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76 % (2554)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)
% 0.57/0.76 % (2557)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)
% 0.57/0.76 % (2558)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)
% 0.57/0.76 % (2556)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)
% 0.57/0.76 % (2553)Refutation not found, incomplete strategy% (2553)------------------------------
% 0.57/0.76 % (2553)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (2553)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (2553)Memory used [KB]: 952
% 0.57/0.76 % (2553)Time elapsed: 0.002 s
% 0.57/0.76 % (2553)Instructions burned: 2 (million)
% 0.57/0.76 % (2556)Refutation not found, incomplete strategy% (2556)------------------------------
% 0.57/0.76 % (2556)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (2556)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (2556)Memory used [KB]: 952
% 0.57/0.76 % (2556)Time elapsed: 0.002 s
% 0.57/0.76 % (2556)Instructions burned: 2 (million)
% 0.57/0.76 % (2556)------------------------------
% 0.57/0.76 % (2556)------------------------------
% 0.57/0.76 % (2553)------------------------------
% 0.57/0.76 % (2553)------------------------------
% 0.57/0.77 % (2559)First to succeed.
% 0.59/0.77 % (2559)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2428"
% 0.59/0.77 % (2560)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)
% 0.59/0.77 % (2559)Refutation found. Thanks to Tanya!
% 0.59/0.77 % SZS status Unsatisfiable for Vampire---4
% 0.59/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.77 % (2559)------------------------------
% 0.59/0.77 % (2559)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (2559)Termination reason: Refutation
% 0.59/0.77
% 0.59/0.77 % (2559)Memory used [KB]: 1144
% 0.59/0.77 % (2559)Time elapsed: 0.007 s
% 0.59/0.77 % (2559)Instructions burned: 18 (million)
% 0.59/0.77 % (2428)Success in time 0.383 s
% 0.59/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------