TSTP Solution File: GRP039-7 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP039-7 : TPTP v8.1.2. Bugfixed v1.0.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n017.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 05:44:27 EDT 2024
% Result : Unsatisfiable 0.49s 0.74s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 48 ( 17 unt; 0 def)
% Number of atoms : 92 ( 19 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 74 ( 30 ~; 42 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f386,plain,
$false,
inference(avatar_sat_refutation,[],[f150,f315,f385]) ).
fof(f385,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f384]) ).
fof(f384,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f383,f319]) ).
fof(f319,plain,
( subgroup_member(a)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl0_1
<=> subgroup_member(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f383,plain,
( ~ subgroup_member(a)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f377,f16]) ).
fof(f16,axiom,
~ subgroup_member(d),
file('/export/starexec/sandbox2/tmp/tmp.aeL830R3uC/Vampire---4.8_11681',prove_d_in_O2) ).
fof(f377,plain,
( subgroup_member(d)
| ~ subgroup_member(a)
| ~ spl0_2 ),
inference(superposition,[],[f321,f15]) ).
fof(f15,axiom,
multiply(a,c) = d,
file('/export/starexec/sandbox2/tmp/tmp.aeL830R3uC/Vampire---4.8_11681',a_times_c_is_d) ).
fof(f321,plain,
( ! [X0] :
( subgroup_member(multiply(X0,c))
| ~ subgroup_member(X0) )
| ~ spl0_2 ),
inference(resolution,[],[f149,f17]) ).
fof(f17,plain,
! [X0,X1] :
( ~ subgroup_member(X1)
| subgroup_member(multiply(X0,X1))
| ~ subgroup_member(X0) ),
inference(equality_resolution,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( subgroup_member(X2)
| multiply(X0,X1) != X2
| ~ subgroup_member(X1)
| ~ subgroup_member(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.aeL830R3uC/Vampire---4.8_11681',closure_of_multiply) ).
fof(f149,plain,
( subgroup_member(c)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f148,plain,
( spl0_2
<=> subgroup_member(c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f315,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f314]) ).
fof(f314,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[],[f313,f146]) ).
fof(f146,plain,
( ~ subgroup_member(a)
| spl0_1 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f313,plain,
( subgroup_member(a)
| spl0_1 ),
inference(subsumption_resolution,[],[f312,f16]) ).
fof(f312,plain,
( subgroup_member(d)
| subgroup_member(a)
| spl0_1 ),
inference(subsumption_resolution,[],[f309,f165]) ).
fof(f165,plain,
( ~ subgroup_member(c)
| spl0_1 ),
inference(resolution,[],[f163,f4]) ).
fof(f4,axiom,
! [X0] :
( subgroup_member(inverse(X0))
| ~ subgroup_member(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.aeL830R3uC/Vampire---4.8_11681',closure_of_inverse) ).
fof(f163,plain,
( ~ subgroup_member(inverse(c))
| spl0_1 ),
inference(subsumption_resolution,[],[f160,f146]) ).
fof(f160,plain,
( subgroup_member(a)
| ~ subgroup_member(inverse(c)) ),
inference(superposition,[],[f37,f120]) ).
fof(f120,plain,
a = multiply(inverse(c),b),
inference(superposition,[],[f58,f77]) ).
fof(f77,plain,
b = multiply(c,a),
inference(forward_demodulation,[],[f73,f6]) ).
fof(f6,axiom,
! [X0] : multiply(X0,identity) = X0,
file('/export/starexec/sandbox2/tmp/tmp.aeL830R3uC/Vampire---4.8_11681',right_identity) ).
fof(f73,plain,
multiply(c,a) = multiply(b,identity),
inference(superposition,[],[f48,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/tmp/tmp.aeL830R3uC/Vampire---4.8_11681',left_inverse) ).
fof(f48,plain,
! [X0] : multiply(b,multiply(inverse(a),X0)) = multiply(c,X0),
inference(superposition,[],[f3,f14]) ).
fof(f14,axiom,
multiply(b,inverse(a)) = c,
file('/export/starexec/sandbox2/tmp/tmp.aeL830R3uC/Vampire---4.8_11681',b_times_a_inverse_is_c) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/tmp/tmp.aeL830R3uC/Vampire---4.8_11681',associativity) ).
fof(f58,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f47,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/tmp/tmp.aeL830R3uC/Vampire---4.8_11681',left_identity) ).
fof(f47,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(X0),multiply(X0,X1)),
inference(superposition,[],[f3,f2]) ).
fof(f37,plain,
! [X0] :
( subgroup_member(multiply(X0,b))
| ~ subgroup_member(X0) ),
inference(resolution,[],[f17,f13]) ).
fof(f13,axiom,
subgroup_member(b),
file('/export/starexec/sandbox2/tmp/tmp.aeL830R3uC/Vampire---4.8_11681',b_in_O2) ).
fof(f309,plain,
( subgroup_member(c)
| subgroup_member(d)
| subgroup_member(a)
| spl0_1 ),
inference(superposition,[],[f11,f305]) ).
fof(f305,plain,
( c = element_in_O2(a,d)
| spl0_1 ),
inference(forward_demodulation,[],[f302,f118]) ).
fof(f118,plain,
c = multiply(inverse(a),d),
inference(superposition,[],[f58,f15]) ).
fof(f302,plain,
( multiply(inverse(a),d) = element_in_O2(a,d)
| spl0_1 ),
inference(superposition,[],[f58,f151]) ).
fof(f151,plain,
( d = multiply(a,element_in_O2(a,d))
| spl0_1 ),
inference(resolution,[],[f146,f66]) ).
fof(f66,plain,
! [X0] :
( subgroup_member(X0)
| d = multiply(X0,element_in_O2(X0,d)) ),
inference(resolution,[],[f12,f16]) ).
fof(f12,axiom,
! [X0,X1] :
( subgroup_member(X1)
| multiply(X0,element_in_O2(X0,X1)) = X1
| subgroup_member(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.aeL830R3uC/Vampire---4.8_11681',property_of_O2) ).
fof(f11,axiom,
! [X0,X1] :
( subgroup_member(element_in_O2(X0,X1))
| subgroup_member(X1)
| subgroup_member(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.aeL830R3uC/Vampire---4.8_11681',an_element_in_O2) ).
fof(f150,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f143,f148,f145]) ).
fof(f143,plain,
( subgroup_member(c)
| ~ subgroup_member(a) ),
inference(subsumption_resolution,[],[f140,f13]) ).
fof(f140,plain,
( subgroup_member(c)
| ~ subgroup_member(b)
| ~ subgroup_member(a) ),
inference(superposition,[],[f35,f14]) ).
fof(f35,plain,
! [X0,X1] :
( subgroup_member(multiply(X0,inverse(X1)))
| ~ subgroup_member(X0)
| ~ subgroup_member(X1) ),
inference(resolution,[],[f17,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP039-7 : TPTP v8.1.2. Bugfixed v1.0.1.
% 0.06/0.14 % 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
% 0.12/0.34 % Computer : n017.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 : Fri May 3 20:40:38 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.12/0.35 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.aeL830R3uC/Vampire---4.8_11681
% 0.49/0.72 % (11789)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)
% 0.49/0.72 % (11793)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)
% 0.49/0.72 % (11794)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)
% 0.49/0.72 % (11791)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.49/0.72 % (11792)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)
% 0.49/0.72 % (11790)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)
% 0.49/0.72 % (11795)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)
% 0.49/0.72 % (11796)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)
% 0.49/0.72 % (11789)Refutation not found, incomplete strategy% (11789)------------------------------
% 0.49/0.72 % (11789)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.72 % (11789)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.72
% 0.49/0.72 % (11789)Memory used [KB]: 980
% 0.49/0.72 % (11789)Time elapsed: 0.002 s
% 0.49/0.72 % (11789)Instructions burned: 2 (million)
% 0.49/0.72 % (11796)Refutation not found, incomplete strategy% (11796)------------------------------
% 0.49/0.72 % (11796)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.72 % (11796)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.72
% 0.49/0.72 % (11793)Refutation not found, incomplete strategy% (11793)------------------------------
% 0.49/0.72 % (11793)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.72 % (11793)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.72
% 0.49/0.72 % (11793)Memory used [KB]: 985
% 0.49/0.72 % (11793)Time elapsed: 0.002 s
% 0.49/0.72 % (11793)Instructions burned: 2 (million)
% 0.49/0.72 % (11796)Memory used [KB]: 967
% 0.49/0.72 % (11796)Time elapsed: 0.002 s
% 0.49/0.72 % (11796)Instructions burned: 2 (million)
% 0.49/0.72 % (11789)------------------------------
% 0.49/0.72 % (11789)------------------------------
% 0.49/0.72 % (11793)------------------------------
% 0.49/0.72 % (11793)------------------------------
% 0.49/0.73 % (11796)------------------------------
% 0.49/0.73 % (11796)------------------------------
% 0.49/0.73 % (11794)Refutation not found, incomplete strategy% (11794)------------------------------
% 0.49/0.73 % (11794)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.73 % (11794)Termination reason: Refutation not found, incomplete strategy
% 0.49/0.73
% 0.49/0.73 % (11794)Memory used [KB]: 992
% 0.49/0.73 % (11794)Time elapsed: 0.003 s
% 0.49/0.73 % (11794)Instructions burned: 3 (million)
% 0.49/0.73 % (11794)------------------------------
% 0.49/0.73 % (11794)------------------------------
% 0.49/0.73 % (11797)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)
% 0.49/0.73 % (11798)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)
% 0.49/0.73 % (11800)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)
% 0.49/0.73 % (11799)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)
% 0.49/0.74 % (11800)First to succeed.
% 0.49/0.74 % (11800)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11788"
% 0.49/0.74 % (11792)Instruction limit reached!
% 0.49/0.74 % (11792)------------------------------
% 0.49/0.74 % (11792)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.74 % (11792)Termination reason: Unknown
% 0.49/0.74 % (11792)Termination phase: Saturation
% 0.49/0.74
% 0.49/0.74 % (11792)Memory used [KB]: 1570
% 0.49/0.74 % (11792)Time elapsed: 0.018 s
% 0.49/0.74 % (11792)Instructions burned: 33 (million)
% 0.49/0.74 % (11792)------------------------------
% 0.49/0.74 % (11792)------------------------------
% 0.49/0.74 % (11800)Refutation found. Thanks to Tanya!
% 0.49/0.74 % SZS status Unsatisfiable for Vampire---4
% 0.49/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.49/0.74 % (11800)------------------------------
% 0.49/0.74 % (11800)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.49/0.74 % (11800)Termination reason: Refutation
% 0.49/0.74
% 0.49/0.74 % (11800)Memory used [KB]: 1179
% 0.49/0.74 % (11800)Time elapsed: 0.012 s
% 0.49/0.74 % (11800)Instructions burned: 19 (million)
% 0.49/0.74 % (11788)Success in time 0.378 s
% 0.49/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------