TSTP Solution File: GRP037-3 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP037-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n029.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 Aug 31 16:13:47 EDT 2022
% Result : Unsatisfiable 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 21 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f63,plain,
$false,
inference(unit_resulting_resolution,[],[f4,f19,f58,f15]) ).
fof(f15,axiom,
! [X8,X6,X9,X7] :
( ~ product(X6,X7,X8)
| X7 = X9
| ~ product(X6,X9,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f58,plain,
product(a,another_inverse(a),identity),
inference(resolution,[],[f52,f17]) ).
fof(f17,axiom,
subgroup_member(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_in_subgroup) ).
fof(f52,plain,
! [X6] :
( ~ subgroup_member(X6)
| product(X6,another_inverse(X6),identity) ),
inference(backward_demodulation,[],[f12,f49]) ).
fof(f49,plain,
identity = another_identity,
inference(subsumption_resolution,[],[f45,f18]) ).
fof(f18,axiom,
subgroup_member(another_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',another_identity_in_subgroup) ).
fof(f45,plain,
( ~ subgroup_member(another_identity)
| identity = another_identity ),
inference(resolution,[],[f25,f10]) ).
fof(f10,axiom,
! [X6] :
( product(another_identity,X6,X6)
| ~ subgroup_member(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',another_left_identity) ).
fof(f25,plain,
! [X2,X3] :
( ~ product(X3,X2,X3)
| identity = X2 ),
inference(resolution,[],[f15,f2]) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
fof(f12,axiom,
! [X6] :
( product(X6,another_inverse(X6),another_identity)
| ~ subgroup_member(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',another_right_inverse) ).
fof(f19,axiom,
inverse(a) != another_inverse(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_two_inverses_are_equal) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP037-3 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 22:19:41 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.17/0.44 % (29741)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.17/0.45 % (29760)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.17/0.46 % (29751)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.17/0.46 % (29757)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.46 % (29751)First to succeed.
% 0.17/0.47 % (29751)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (29751)------------------------------
% 0.17/0.47 % (29751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.47 % (29751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.47 % (29751)Termination reason: Refutation
% 0.17/0.47
% 0.17/0.47 % (29751)Memory used [KB]: 1407
% 0.17/0.47 % (29751)Time elapsed: 0.068 s
% 0.17/0.47 % (29751)Instructions burned: 4 (million)
% 0.17/0.47 % (29751)------------------------------
% 0.17/0.47 % (29751)------------------------------
% 0.17/0.47 % (29732)Success in time 0.131 s
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