TSTP Solution File: GRP039-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRP039-2 : TPTP v8.1.2. Released v1.0.0.
% 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 : n014.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 02:26:01 EDT 2024
% Result : Unsatisfiable 0.60s 0.78s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 50 ( 16 unt; 0 def)
% Number of atoms : 100 ( 19 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 82 ( 32 ~; 48 |; 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(f576,plain,
$false,
inference(avatar_sat_refutation,[],[f146,f246,f367,f575]) ).
fof(f575,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f574]) ).
fof(f574,plain,
( $false
| ~ spl0_3
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f573,f140]) ).
fof(f140,plain,
( subgroup_member(a)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f139,plain,
( spl0_3
<=> subgroup_member(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f573,plain,
( ~ subgroup_member(a)
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f572,f13]) ).
fof(f13,axiom,
~ subgroup_member(d),
file('/export/starexec/sandbox/tmp/tmp.oB3tbQW6Ya/Vampire---4.8_13176',prove_d_in_O2) ).
fof(f572,plain,
( subgroup_member(d)
| ~ subgroup_member(a)
| ~ spl0_4 ),
inference(superposition,[],[f385,f12]) ).
fof(f12,axiom,
multiply(a,c) = d,
file('/export/starexec/sandbox/tmp/tmp.oB3tbQW6Ya/Vampire---4.8_13176',a_times_c_is_d) ).
fof(f385,plain,
( ! [X0] :
( subgroup_member(multiply(X0,c))
| ~ subgroup_member(X0) )
| ~ spl0_4 ),
inference(resolution,[],[f145,f14]) ).
fof(f14,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/sandbox/tmp/tmp.oB3tbQW6Ya/Vampire---4.8_13176',closure_of_multiply) ).
fof(f145,plain,
( subgroup_member(c)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl0_4
<=> subgroup_member(c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f367,plain,
( spl0_3
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f366]) ).
fof(f366,plain,
( $false
| spl0_3
| spl0_4 ),
inference(subsumption_resolution,[],[f365,f141]) ).
fof(f141,plain,
( ~ subgroup_member(a)
| spl0_3 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f365,plain,
( subgroup_member(a)
| spl0_3
| spl0_4 ),
inference(subsumption_resolution,[],[f364,f13]) ).
fof(f364,plain,
( subgroup_member(d)
| subgroup_member(a)
| spl0_3
| spl0_4 ),
inference(subsumption_resolution,[],[f363,f144]) ).
fof(f144,plain,
( ~ subgroup_member(c)
| spl0_4 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f363,plain,
( subgroup_member(c)
| subgroup_member(d)
| subgroup_member(a)
| spl0_3 ),
inference(superposition,[],[f8,f340]) ).
fof(f340,plain,
( c = element_in_O2(a,d)
| spl0_3 ),
inference(forward_demodulation,[],[f338,f112]) ).
fof(f112,plain,
c = multiply(inverse(a),d),
inference(superposition,[],[f52,f12]) ).
fof(f52,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f41,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/tmp/tmp.oB3tbQW6Ya/Vampire---4.8_13176',left_identity) ).
fof(f41,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(X0),multiply(X0,X1)),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/tmp/tmp.oB3tbQW6Ya/Vampire---4.8_13176',left_inverse) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/tmp/tmp.oB3tbQW6Ya/Vampire---4.8_13176',associativity) ).
fof(f338,plain,
( multiply(inverse(a),d) = element_in_O2(a,d)
| spl0_3 ),
inference(superposition,[],[f52,f147]) ).
fof(f147,plain,
( d = multiply(a,element_in_O2(a,d))
| spl0_3 ),
inference(resolution,[],[f141,f56]) ).
fof(f56,plain,
! [X0] :
( subgroup_member(X0)
| d = multiply(X0,element_in_O2(X0,d)) ),
inference(resolution,[],[f9,f13]) ).
fof(f9,axiom,
! [X0,X1] :
( subgroup_member(X1)
| multiply(X0,element_in_O2(X0,X1)) = X1
| subgroup_member(X0) ),
file('/export/starexec/sandbox/tmp/tmp.oB3tbQW6Ya/Vampire---4.8_13176',property_of_O2) ).
fof(f8,axiom,
! [X0,X1] :
( subgroup_member(element_in_O2(X0,X1))
| subgroup_member(X1)
| subgroup_member(X0) ),
file('/export/starexec/sandbox/tmp/tmp.oB3tbQW6Ya/Vampire---4.8_13176',an_element_in_O2) ).
fof(f246,plain,
( ~ spl0_4
| spl0_3 ),
inference(avatar_split_clause,[],[f241,f139,f143]) ).
fof(f241,plain,
( ~ subgroup_member(c)
| spl0_3 ),
inference(resolution,[],[f235,f4]) ).
fof(f4,axiom,
! [X0] :
( subgroup_member(inverse(X0))
| ~ subgroup_member(X0) ),
file('/export/starexec/sandbox/tmp/tmp.oB3tbQW6Ya/Vampire---4.8_13176',closure_of_inverse) ).
fof(f235,plain,
( ~ subgroup_member(inverse(c))
| spl0_3 ),
inference(subsumption_resolution,[],[f232,f141]) ).
fof(f232,plain,
( subgroup_member(a)
| ~ subgroup_member(inverse(c)) ),
inference(superposition,[],[f22,f114]) ).
fof(f114,plain,
a = multiply(inverse(c),b),
inference(superposition,[],[f52,f76]) ).
fof(f76,plain,
b = multiply(c,a),
inference(forward_demodulation,[],[f72,f6]) ).
fof(f6,axiom,
! [X0] : multiply(X0,identity) = X0,
file('/export/starexec/sandbox/tmp/tmp.oB3tbQW6Ya/Vampire---4.8_13176',right_identity) ).
fof(f72,plain,
multiply(c,a) = multiply(b,identity),
inference(superposition,[],[f42,f2]) ).
fof(f42,plain,
! [X0] : multiply(b,multiply(inverse(a),X0)) = multiply(c,X0),
inference(superposition,[],[f3,f11]) ).
fof(f11,axiom,
multiply(b,inverse(a)) = c,
file('/export/starexec/sandbox/tmp/tmp.oB3tbQW6Ya/Vampire---4.8_13176',b_times_a_inverse_is_c) ).
fof(f22,plain,
! [X0] :
( subgroup_member(multiply(X0,b))
| ~ subgroup_member(X0) ),
inference(resolution,[],[f14,f10]) ).
fof(f10,axiom,
subgroup_member(b),
file('/export/starexec/sandbox/tmp/tmp.oB3tbQW6Ya/Vampire---4.8_13176',b_in_O2) ).
fof(f146,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f137,f143,f139]) ).
fof(f137,plain,
( subgroup_member(c)
| ~ subgroup_member(a) ),
inference(subsumption_resolution,[],[f134,f10]) ).
fof(f134,plain,
( subgroup_member(c)
| ~ subgroup_member(b)
| ~ subgroup_member(a) ),
inference(superposition,[],[f23,f11]) ).
fof(f23,plain,
! [X0,X1] :
( subgroup_member(multiply(X0,inverse(X1)))
| ~ subgroup_member(X0)
| ~ subgroup_member(X1) ),
inference(resolution,[],[f14,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP039-2 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.15 % 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
% 0.15/0.37 % Computer : n014.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue Apr 30 18:20:48 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.37 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.oB3tbQW6Ya/Vampire---4.8_13176
% 0.56/0.76 % (13413)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)
% 0.56/0.76 % (13407)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)
% 0.56/0.76 % (13410)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)
% 0.56/0.76 % (13409)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.76 % (13408)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)
% 0.56/0.76 % (13411)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)
% 0.56/0.76 % (13412)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)
% 0.56/0.76 % (13407)Refutation not found, incomplete strategy% (13407)------------------------------
% 0.56/0.76 % (13407)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (13407)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (13407)Memory used [KB]: 979
% 0.56/0.76 % (13407)Time elapsed: 0.003 s
% 0.56/0.76 % (13407)Instructions burned: 2 (million)
% 0.56/0.76 % (13407)------------------------------
% 0.56/0.76 % (13407)------------------------------
% 0.56/0.76 % (13414)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)
% 0.56/0.76 % (13414)Refutation not found, incomplete strategy% (13414)------------------------------
% 0.56/0.76 % (13414)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (13414)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (13414)Memory used [KB]: 966
% 0.56/0.76 % (13414)Time elapsed: 0.002 s
% 0.56/0.76 % (13414)Instructions burned: 2 (million)
% 0.56/0.76 % (13414)------------------------------
% 0.56/0.76 % (13414)------------------------------
% 0.56/0.76 % (13411)Refutation not found, incomplete strategy% (13411)------------------------------
% 0.56/0.76 % (13411)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (13411)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (13411)Memory used [KB]: 983
% 0.56/0.76 % (13411)Time elapsed: 0.004 s
% 0.56/0.76 % (13411)Instructions burned: 2 (million)
% 0.56/0.76 % (13411)------------------------------
% 0.56/0.76 % (13411)------------------------------
% 0.56/0.76 % (13415)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)
% 0.60/0.77 % (13417)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)
% 0.60/0.78 % (13410)Instruction limit reached!
% 0.60/0.78 % (13410)------------------------------
% 0.60/0.78 % (13410)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (13410)Termination reason: Unknown
% 0.60/0.78 % (13410)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (13410)Memory used [KB]: 1579
% 0.60/0.78 % (13410)Time elapsed: 0.019 s
% 0.60/0.78 % (13410)Instructions burned: 34 (million)
% 0.60/0.78 % (13410)------------------------------
% 0.60/0.78 % (13410)------------------------------
% 0.60/0.78 % (13409)First to succeed.
% 0.60/0.78 % (13409)Refutation found. Thanks to Tanya!
% 0.60/0.78 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.78 % (13409)------------------------------
% 0.60/0.78 % (13409)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.78 % (13409)Termination reason: Refutation
% 0.60/0.78
% 0.60/0.78 % (13409)Memory used [KB]: 1257
% 0.60/0.78 % (13409)Time elapsed: 0.021 s
% 0.60/0.78 % (13409)Instructions burned: 29 (million)
% 0.60/0.78 % (13409)------------------------------
% 0.60/0.78 % (13409)------------------------------
% 0.60/0.78 % (13403)Success in time 0.397 s
% 0.60/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------