TSTP Solution File: GRP125-1.003 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP125-1.003 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n021.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 02:27:19 EDT 2024
% Result : Unsatisfiable 0.65s 0.83s
% Output : Refutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 23
% Syntax : Number of formulae : 73 ( 14 unt; 0 def)
% Number of atoms : 178 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 178 ( 73 ~; 94 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 12 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f330,plain,
$false,
inference(avatar_sat_refutation,[],[f183,f185,f199,f245,f272,f274,f293,f295,f303,f315,f327,f329]) ).
fof(f329,plain,
~ spl0_18,
inference(avatar_contradiction_clause,[],[f328]) ).
fof(f328,plain,
( $false
| ~ spl0_18 ),
inference(resolution,[],[f287,f5]) ).
fof(f5,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/tmp/tmp.N8yyElZnjR/Vampire---4.8_5924',e_1_is_not_e_3) ).
fof(f287,plain,
( equalish(e_1,e_3)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f285,plain,
( spl0_18
<=> equalish(e_1,e_3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f327,plain,
( spl0_18
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f323,f269,f285]) ).
fof(f269,plain,
( spl0_17
<=> product(e_3,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f323,plain,
( equalish(e_1,e_3)
| ~ spl0_17 ),
inference(resolution,[],[f271,f18]) ).
fof(f18,plain,
! [X0,X1] :
( ~ product(X1,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[],[f11,f14]) ).
fof(f14,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox/tmp/tmp.N8yyElZnjR/Vampire---4.8_5924',product_idempotence) ).
fof(f11,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| equalish(X2,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.N8yyElZnjR/Vampire---4.8_5924',product_total_function2) ).
fof(f271,plain,
( product(e_3,e_3,e_1)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f315,plain,
( spl0_19
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f307,f265,f289]) ).
fof(f289,plain,
( spl0_19
<=> equalish(e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f265,plain,
( spl0_16
<=> product(e_1,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f307,plain,
( equalish(e_2,e_1)
| ~ spl0_16 ),
inference(resolution,[],[f267,f20]) ).
fof(f20,plain,
! [X0,X1] :
( ~ product(X1,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f12,f14]) ).
fof(f12,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X3,X1)
| equalish(X2,X3)
| ~ product(X0,X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.N8yyElZnjR/Vampire---4.8_5924',product_right_cancellation) ).
fof(f267,plain,
( product(e_1,e_2,e_1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f303,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f302]) ).
fof(f302,plain,
( $false
| ~ spl0_11 ),
inference(resolution,[],[f297,f4]) ).
fof(f4,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/tmp/tmp.N8yyElZnjR/Vampire---4.8_5924',e_1_is_not_e_2) ).
fof(f297,plain,
( equalish(e_1,e_2)
| ~ spl0_11 ),
inference(resolution,[],[f244,f20]) ).
fof(f244,plain,
( product(e_2,e_1,e_2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f242,plain,
( spl0_11
<=> product(e_2,e_1,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f295,plain,
~ spl0_19,
inference(avatar_contradiction_clause,[],[f294]) ).
fof(f294,plain,
( $false
| ~ spl0_19 ),
inference(resolution,[],[f291,f6]) ).
fof(f6,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/tmp/tmp.N8yyElZnjR/Vampire---4.8_5924',e_2_is_not_e_1) ).
fof(f291,plain,
( equalish(e_2,e_1)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f293,plain,
( spl0_19
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f278,f238,f289]) ).
fof(f238,plain,
( spl0_10
<=> product(e_2,e_1,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f278,plain,
( equalish(e_2,e_1)
| ~ spl0_10 ),
inference(resolution,[],[f240,f22]) ).
fof(f22,plain,
! [X0,X1] :
( ~ product(X0,X1,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f13,f14]) ).
fof(f13,axiom,
! [X2,X3,X0,X1] :
( ~ product(X3,X1,X0)
| equalish(X2,X3)
| ~ product(X2,X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.N8yyElZnjR/Vampire---4.8_5924',product_left_cancellation) ).
fof(f240,plain,
( product(e_2,e_1,e_1)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f274,plain,
spl0_15,
inference(avatar_contradiction_clause,[],[f273]) ).
fof(f273,plain,
( $false
| spl0_15 ),
inference(resolution,[],[f263,f1]) ).
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/tmp/tmp.N8yyElZnjR/Vampire---4.8_5924',element_1) ).
fof(f263,plain,
( ~ group_element(e_1)
| spl0_15 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f261,plain,
( spl0_15
<=> group_element(e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f272,plain,
( ~ spl0_15
| ~ spl0_5
| spl0_16
| spl0_7
| spl0_17
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f259,f235,f269,f180,f265,f163,f261]) ).
fof(f163,plain,
( spl0_5
<=> group_element(e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f180,plain,
( spl0_7
<=> product(e_1,e_2,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f235,plain,
( spl0_9
<=> ! [X0] :
( product(X0,e_3,e_1)
| ~ product(e_1,e_2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f259,plain,
( product(e_3,e_3,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_1)
| ~ spl0_9 ),
inference(resolution,[],[f236,f10]) ).
fof(f10,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/sandbox/tmp/tmp.N8yyElZnjR/Vampire---4.8_5924',product_total_function1) ).
fof(f236,plain,
( ! [X0] :
( ~ product(e_1,e_2,X0)
| product(X0,e_3,e_1) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f245,plain,
( spl0_9
| spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f232,f242,f238,f235]) ).
fof(f232,plain,
! [X0] :
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_1)
| product(X0,e_3,e_1)
| ~ product(e_1,e_2,X0) ),
inference(resolution,[],[f221,f2]) ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/tmp/tmp.N8yyElZnjR/Vampire---4.8_5924',element_2) ).
fof(f221,plain,
! [X0,X1] :
( ~ group_element(X0)
| product(X0,e_1,e_2)
| product(X0,e_1,e_1)
| product(X1,e_3,e_1)
| ~ product(e_1,X0,X1) ),
inference(resolution,[],[f27,f1]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| ~ group_element(X0)
| product(X2,e_3,X1)
| ~ product(X1,X0,X2) ),
inference(resolution,[],[f10,f15]) ).
fof(f15,axiom,
! [X0,X1,X4,X5] :
( ~ product(X1,X0,X5)
| product(X4,X5,X0)
| ~ product(X0,X1,X4) ),
file('/export/starexec/sandbox/tmp/tmp.N8yyElZnjR/Vampire---4.8_5924',qg3) ).
fof(f199,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f198]) ).
fof(f198,plain,
( $false
| ~ spl0_6 ),
inference(resolution,[],[f193,f4]) ).
fof(f193,plain,
( equalish(e_1,e_2)
| ~ spl0_6 ),
inference(resolution,[],[f169,f18]) ).
fof(f169,plain,
( product(e_2,e_2,e_1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl0_6
<=> product(e_2,e_2,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f185,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f184]) ).
fof(f184,plain,
( $false
| spl0_5 ),
inference(resolution,[],[f165,f2]) ).
fof(f165,plain,
( ~ group_element(e_2)
| spl0_5 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f183,plain,
( ~ spl0_7
| spl0_6
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f178,f163,f167,f180]) ).
fof(f178,plain,
( ~ group_element(e_2)
| product(e_2,e_2,e_1)
| ~ product(e_1,e_2,e_2) ),
inference(resolution,[],[f175,f7]) ).
fof(f7,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/tmp/tmp.N8yyElZnjR/Vampire---4.8_5924',e_2_is_not_e_3) ).
fof(f175,plain,
! [X0] :
( equalish(X0,e_3)
| ~ group_element(X0)
| product(X0,X0,e_1)
| ~ product(e_1,X0,X0) ),
inference(resolution,[],[f91,f4]) ).
fof(f91,plain,
! [X0,X1] :
( equalish(X1,e_2)
| product(X0,X0,e_1)
| ~ group_element(X0)
| equalish(X0,e_3)
| ~ product(X1,X0,X0) ),
inference(resolution,[],[f67,f13]) ).
fof(f67,plain,
! [X0] :
( product(e_2,X0,X0)
| equalish(X0,e_3)
| product(X0,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[],[f54,f16]) ).
fof(f16,plain,
! [X0,X1] :
( ~ product(X1,X1,X0)
| product(X0,X1,X1) ),
inference(resolution,[],[f14,f15]) ).
fof(f54,plain,
! [X0] :
( product(X0,X0,e_2)
| ~ group_element(X0)
| equalish(X0,e_3)
| product(X0,X0,e_1) ),
inference(resolution,[],[f46,f14]) ).
fof(f46,plain,
! [X0,X1] :
( ~ product(X1,X0,X0)
| ~ group_element(X0)
| product(X0,X0,e_2)
| equalish(X1,e_3)
| product(X0,X0,e_1) ),
inference(resolution,[],[f32,f13]) ).
fof(f32,plain,
! [X0] :
( product(e_3,X0,X0)
| product(X0,X0,e_1)
| ~ group_element(X0)
| product(X0,X0,e_2) ),
inference(duplicate_literal_removal,[],[f31]) ).
fof(f31,plain,
! [X0] :
( product(X0,X0,e_2)
| product(X0,X0,e_1)
| ~ group_element(X0)
| ~ group_element(X0)
| product(e_3,X0,X0) ),
inference(resolution,[],[f10,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP125-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.06/0.13 % 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
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 18:29:56 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.12/0.34 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.N8yyElZnjR/Vampire---4.8_5924
% 0.65/0.82 % (6039)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.65/0.82 % (6040)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 (2995ds/83Mi)
% 0.65/0.82 % (6038)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 (2995ds/34Mi)
% 0.65/0.82 % (6034)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 (2995ds/34Mi)
% 0.65/0.82 % (6036)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.65/0.82 % (6035)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 (2995ds/51Mi)
% 0.65/0.82 % (6039)Refutation not found, incomplete strategy% (6039)------------------------------
% 0.65/0.82 % (6039)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82 % (6034)Refutation not found, incomplete strategy% (6034)------------------------------
% 0.65/0.82 % (6034)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82 % (6039)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82
% 0.65/0.82 % (6039)Memory used [KB]: 946
% 0.65/0.82 % (6039)Time elapsed: 0.002 s
% 0.65/0.82 % (6039)Instructions burned: 2 (million)
% 0.65/0.82 % (6039)------------------------------
% 0.65/0.82 % (6039)------------------------------
% 0.65/0.82 % (6034)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82
% 0.65/0.82 % (6034)Memory used [KB]: 959
% 0.65/0.82 % (6034)Time elapsed: 0.003 s
% 0.65/0.82 % (6034)Instructions burned: 2 (million)
% 0.65/0.82 % (6034)------------------------------
% 0.65/0.82 % (6034)------------------------------
% 0.65/0.82 % (6041)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 (2995ds/56Mi)
% 0.65/0.82 % (6041)Refutation not found, incomplete strategy% (6041)------------------------------
% 0.65/0.82 % (6041)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82 % (6041)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82
% 0.65/0.82 % (6041)Memory used [KB]: 946
% 0.65/0.82 % (6041)Time elapsed: 0.002 s
% 0.65/0.82 % (6041)Instructions burned: 2 (million)
% 0.65/0.82 % (6041)------------------------------
% 0.65/0.82 % (6041)------------------------------
% 0.65/0.82 % (6037)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.65/0.82 % (6037)Refutation not found, incomplete strategy% (6037)------------------------------
% 0.65/0.82 % (6037)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82 % (6037)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82
% 0.65/0.82 % (6037)Memory used [KB]: 962
% 0.65/0.82 % (6037)Time elapsed: 0.002 s
% 0.65/0.82 % (6037)Instructions burned: 2 (million)
% 0.65/0.82 % (6037)------------------------------
% 0.65/0.82 % (6037)------------------------------
% 0.65/0.82 % (6043)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 (2995ds/50Mi)
% 0.65/0.82 % (6042)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 (2995ds/55Mi)
% 0.65/0.82 % (6044)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 (2995ds/208Mi)
% 0.65/0.82 % (6044)Refutation not found, incomplete strategy% (6044)------------------------------
% 0.65/0.82 % (6044)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82 % (6044)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82
% 0.65/0.82 % (6044)Memory used [KB]: 963
% 0.65/0.82 % (6044)Time elapsed: 0.002 s
% 0.65/0.82 % (6044)Instructions burned: 2 (million)
% 0.65/0.82 % (6044)------------------------------
% 0.65/0.82 % (6044)------------------------------
% 0.65/0.82 % (6035)First to succeed.
% 0.65/0.82 % (6045)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 (2995ds/52Mi)
% 0.65/0.82 % (6042)Also succeeded, but the first one will report.
% 0.65/0.83 % (6040)Also succeeded, but the first one will report.
% 0.65/0.83 % (6035)Refutation found. Thanks to Tanya!
% 0.65/0.83 % SZS status Unsatisfiable for Vampire---4
% 0.65/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.83 % (6035)------------------------------
% 0.65/0.83 % (6035)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.83 % (6035)Termination reason: Refutation
% 0.65/0.83
% 0.65/0.83 % (6035)Memory used [KB]: 1099
% 0.65/0.83 % (6035)Time elapsed: 0.009 s
% 0.65/0.83 % (6035)Instructions burned: 12 (million)
% 0.65/0.83 % (6035)------------------------------
% 0.65/0.83 % (6035)------------------------------
% 0.65/0.83 % (6031)Success in time 0.48 s
% 0.65/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------