TSTP Solution File: GRP123-9.003 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP123-9.003 : TPTP v8.2.0. 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 : n008.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 : Mon May 20 21:06:38 EDT 2024
% Result : Unsatisfiable 0.46s 0.70s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 58 ( 10 unt; 0 def)
% Number of atoms : 160 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 185 ( 83 ~; 98 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f103,plain,
$false,
inference(avatar_sat_refutation,[],[f66,f79,f86,f90,f101,f102]) ).
fof(f102,plain,
( ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f97,f59,f76]) ).
fof(f76,plain,
( spl0_4
<=> product1(e_1,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f59,plain,
( spl0_1
<=> product1(e_2,e_3,e_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f97,plain,
( ~ product1(e_1,e_3,e_1)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f96,f10]) ).
fof(f10,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
fof(f96,plain,
( equalish(e_3,e_1)
| ~ product1(e_1,e_3,e_1)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f91,f3]) ).
fof(f3,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
fof(f91,plain,
( ~ group_element(e_1)
| equalish(e_3,e_1)
| ~ product1(e_1,e_3,e_1)
| ~ spl0_1 ),
inference(resolution,[],[f61,f50]) ).
fof(f50,plain,
! [X0] :
( ~ product1(e_2,e_3,X0)
| ~ group_element(X0)
| equalish(e_3,X0)
| ~ product1(e_1,e_3,X0) ),
inference(subsumption_resolution,[],[f46,f7]) ).
fof(f7,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f46,plain,
! [X0] :
( equalish(e_3,X0)
| ~ group_element(X0)
| ~ product1(e_2,e_3,X0)
| equalish(e_1,e_3)
| ~ product1(e_1,e_3,X0) ),
inference(resolution,[],[f45,f26]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ~ product1(X2,X1,X0)
| equalish(X0,X1)
| ~ product1(X0,X1,X2) ),
inference(resolution,[],[f23,f21]) ).
fof(f21,axiom,
! [X0] : product2(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_idempotence) ).
fof(f23,plain,
! [X2,X3,X0,X1,X4] :
( ~ product2(X2,X3,X4)
| ~ product1(X3,X1,X0)
| equalish(X4,X1)
| ~ product1(X0,X1,X2) ),
inference(resolution,[],[f22,f18]) ).
fof(f18,axiom,
! [X2,X3,X0,X1] :
( ~ product2(X0,X1,X3)
| equalish(X2,X3)
| ~ product2(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_total_function2) ).
fof(f22,axiom,
! [X0,X1,X4,X5] :
( product2(X5,X0,X1)
| ~ product1(X4,X1,X5)
| ~ product1(X0,X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg1a) ).
fof(f45,plain,
! [X0] :
( product1(X0,e_3,e_1)
| equalish(e_3,X0)
| ~ group_element(X0)
| ~ product1(e_2,e_3,X0) ),
inference(subsumption_resolution,[],[f41,f9]) ).
fof(f9,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f41,plain,
! [X0] :
( equalish(e_3,X0)
| product1(X0,e_3,e_1)
| ~ group_element(X0)
| equalish(e_2,e_3)
| ~ product1(e_2,e_3,X0) ),
inference(resolution,[],[f40,f26]) ).
fof(f40,plain,
! [X0] :
( product1(X0,e_3,e_2)
| equalish(e_3,X0)
| product1(X0,e_3,e_1)
| ~ group_element(X0) ),
inference(subsumption_resolution,[],[f39,f5]) ).
fof(f5,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
fof(f39,plain,
! [X0] :
( equalish(e_3,X0)
| product1(X0,e_3,e_2)
| product1(X0,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(X0) ),
inference(resolution,[],[f35,f12]) ).
fof(f12,axiom,
! [X0,X1] :
( product1(X0,X1,e_3)
| product1(X0,X1,e_2)
| product1(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_total_function1) ).
fof(f35,plain,
! [X0,X1] :
( ~ product1(X1,X0,X0)
| equalish(X0,X1) ),
inference(resolution,[],[f32,f16]) ).
fof(f16,axiom,
! [X0] : product1(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_idempotence) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ product1(X2,X1,X1)
| equalish(X1,X0)
| ~ product1(X0,X1,X2) ),
inference(resolution,[],[f24,f21]) ).
fof(f24,plain,
! [X2,X3,X0,X1,X4] :
( ~ product2(X2,X4,X1)
| ~ product1(X3,X1,X0)
| equalish(X4,X3)
| ~ product1(X0,X1,X2) ),
inference(resolution,[],[f22,f19]) ).
fof(f19,axiom,
! [X2,X3,X0,X1] :
( ~ product2(X0,X3,X1)
| equalish(X2,X3)
| ~ product2(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_right_cancellation) ).
fof(f61,plain,
( product1(e_2,e_3,e_1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f101,plain,
( ~ spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f100,f59,f63]) ).
fof(f63,plain,
( spl0_2
<=> product1(e_1,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f100,plain,
( ~ product1(e_1,e_3,e_2)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f92,f7]) ).
fof(f92,plain,
( equalish(e_1,e_3)
| ~ product1(e_1,e_3,e_2)
| ~ spl0_1 ),
inference(resolution,[],[f61,f26]) ).
fof(f90,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f89,f72,f59]) ).
fof(f72,plain,
( spl0_3
<=> product1(e_2,e_3,e_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f89,plain,
( product1(e_2,e_3,e_1)
| spl0_3 ),
inference(subsumption_resolution,[],[f88,f4]) ).
fof(f4,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
fof(f88,plain,
( product1(e_2,e_3,e_1)
| ~ group_element(e_2)
| spl0_3 ),
inference(subsumption_resolution,[],[f87,f11]) ).
fof(f11,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
fof(f87,plain,
( equalish(e_3,e_2)
| product1(e_2,e_3,e_1)
| ~ group_element(e_2)
| spl0_3 ),
inference(resolution,[],[f74,f40]) ).
fof(f74,plain,
( ~ product1(e_2,e_3,e_2)
| spl0_3 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f86,plain,
( spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f85,f63,f76]) ).
fof(f85,plain,
( product1(e_1,e_3,e_1)
| spl0_2 ),
inference(subsumption_resolution,[],[f81,f3]) ).
fof(f81,plain,
( product1(e_1,e_3,e_1)
| ~ group_element(e_1)
| spl0_2 ),
inference(subsumption_resolution,[],[f80,f10]) ).
fof(f80,plain,
( equalish(e_3,e_1)
| product1(e_1,e_3,e_1)
| ~ group_element(e_1)
| spl0_2 ),
inference(resolution,[],[f65,f40]) ).
fof(f65,plain,
( ~ product1(e_1,e_3,e_2)
| spl0_2 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f79,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f70,f76,f72]) ).
fof(f70,plain,
( ~ product1(e_1,e_3,e_1)
| ~ product1(e_2,e_3,e_2) ),
inference(subsumption_resolution,[],[f69,f4]) ).
fof(f69,plain,
( ~ product1(e_1,e_3,e_1)
| ~ group_element(e_2)
| ~ product1(e_2,e_3,e_2) ),
inference(subsumption_resolution,[],[f68,f11]) ).
fof(f68,plain,
( ~ product1(e_1,e_3,e_1)
| equalish(e_3,e_2)
| ~ group_element(e_2)
| ~ product1(e_2,e_3,e_2) ),
inference(subsumption_resolution,[],[f67,f10]) ).
fof(f67,plain,
( equalish(e_3,e_1)
| ~ product1(e_1,e_3,e_1)
| equalish(e_3,e_2)
| ~ group_element(e_2)
| ~ product1(e_2,e_3,e_2) ),
inference(subsumption_resolution,[],[f52,f3]) ).
fof(f52,plain,
( ~ group_element(e_1)
| equalish(e_3,e_1)
| ~ product1(e_1,e_3,e_1)
| equalish(e_3,e_2)
| ~ group_element(e_2)
| ~ product1(e_2,e_3,e_2) ),
inference(resolution,[],[f50,f45]) ).
fof(f66,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f57,f63,f59]) ).
fof(f57,plain,
( ~ product1(e_1,e_3,e_2)
| product1(e_2,e_3,e_1) ),
inference(subsumption_resolution,[],[f56,f11]) ).
fof(f56,plain,
( equalish(e_3,e_2)
| ~ product1(e_1,e_3,e_2)
| product1(e_2,e_3,e_1) ),
inference(subsumption_resolution,[],[f55,f4]) ).
fof(f55,plain,
( ~ group_element(e_2)
| equalish(e_3,e_2)
| ~ product1(e_1,e_3,e_2)
| product1(e_2,e_3,e_1) ),
inference(duplicate_literal_removal,[],[f51]) ).
fof(f51,plain,
( ~ group_element(e_2)
| equalish(e_3,e_2)
| ~ product1(e_1,e_3,e_2)
| equalish(e_3,e_2)
| product1(e_2,e_3,e_1)
| ~ group_element(e_2) ),
inference(resolution,[],[f50,f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP123-9.003 : TPTP v8.2.0. Bugfixed v1.2.1.
% 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
% 0.11/0.31 % Computer : n008.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sun May 19 04:12:37 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.11/0.31 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/benchmark/theBenchmark.p
% 0.46/0.70 % (14983)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.46/0.70 % (14985)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 theBenchmark for (2996ds/34Mi)
% 0.46/0.70 % (14986)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.46/0.70 % (14987)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 theBenchmark for (2996ds/83Mi)
% 0.46/0.70 % (14988)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.46/0.70 % (14981)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 theBenchmark for (2996ds/34Mi)
% 0.46/0.70 % (14981)Refutation not found, incomplete strategy% (14981)------------------------------
% 0.46/0.70 % (14981)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.70 % (14981)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.70
% 0.46/0.70 % (14981)Memory used [KB]: 949
% 0.46/0.70 % (14981)Time elapsed: 0.002 s
% 0.46/0.70 % (14981)Instructions burned: 2 (million)
% 0.46/0.70 % (14982)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 theBenchmark for (2996ds/51Mi)
% 0.46/0.70 % (14988)Refutation not found, incomplete strategy% (14988)------------------------------
% 0.46/0.70 % (14988)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.70 % (14988)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.70
% 0.46/0.70 % (14988)Memory used [KB]: 951
% 0.46/0.70 % (14988)Time elapsed: 0.002 s
% 0.46/0.70 % (14988)Instructions burned: 2 (million)
% 0.46/0.70 % (14981)------------------------------
% 0.46/0.70 % (14981)------------------------------
% 0.46/0.70 % (14988)------------------------------
% 0.46/0.70 % (14988)------------------------------
% 0.46/0.70 % (14984)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.46/0.70 % (14986)First to succeed.
% 0.46/0.70 % (14984)Refutation not found, incomplete strategy% (14984)------------------------------
% 0.46/0.70 % (14984)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.70 % (14984)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.70
% 0.46/0.70 % (14984)Memory used [KB]: 949
% 0.46/0.70 % (14984)Time elapsed: 0.001 s
% 0.46/0.70 % (14984)Instructions burned: 2 (million)
% 0.46/0.70 % (14984)------------------------------
% 0.46/0.70 % (14984)------------------------------
% 0.46/0.70 % (14986)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14980"
% 0.46/0.70 % (14986)Refutation found. Thanks to Tanya!
% 0.46/0.70 % SZS status Unsatisfiable for theBenchmark
% 0.46/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 0.46/0.70 % (14986)------------------------------
% 0.46/0.70 % (14986)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.70 % (14986)Termination reason: Refutation
% 0.46/0.70
% 0.46/0.70 % (14986)Memory used [KB]: 1005
% 0.46/0.70 % (14986)Time elapsed: 0.005 s
% 0.46/0.70 % (14986)Instructions burned: 7 (million)
% 0.46/0.70 % (14980)Success in time 0.39 s
% 0.46/0.70 % Vampire---4.8 exiting
%------------------------------------------------------------------------------