TSTP Solution File: GRP004-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP004-1 : 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 : 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 : Wed Aug 31 16:13:41 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 37 ( 19 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f108,plain,
$false,
inference(resolution,[],[f81,f5]) ).
fof(f5,axiom,
! [X0] : ~ product(a,X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_a_right_inverse) ).
fof(f81,plain,
! [X1] : product(X1,inverse(X1),identity),
inference(subsumption_resolution,[],[f77,f2]) ).
fof(f2,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f77,plain,
! [X1] :
( ~ product(identity,identity,identity)
| product(X1,inverse(X1),identity) ),
inference(resolution,[],[f71,f23]) ).
fof(f23,plain,
! [X0,X1] :
( product(inverse(X0),X0,X1)
| ~ product(identity,identity,X1) ),
inference(resolution,[],[f9,f2]) ).
fof(f9,plain,
! [X6,X7,X4,X5] :
( ~ product(X7,inverse(X5),X4)
| product(X4,X5,X6)
| ~ product(X7,identity,X6) ),
inference(resolution,[],[f4,f1]) ).
fof(f1,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X3,X4)
| product(X2,X3,X5)
| ~ product(X0,X4,X5)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity2) ).
fof(f71,plain,
! [X0,X1] :
( ~ product(X0,X1,identity)
| product(X1,X0,identity) ),
inference(resolution,[],[f20,f1]) ).
fof(f20,plain,
! [X21,X22,X23,X20] :
( ~ product(inverse(X20),X22,X23)
| ~ product(X20,X21,identity)
| product(X21,X22,X23) ),
inference(resolution,[],[f11,f8]) ).
fof(f8,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,identity,X0)
| ~ product(X3,X1,X2)
| product(X0,X1,X2) ),
inference(resolution,[],[f4,f2]) ).
fof(f11,plain,
! [X2,X3,X4] :
( product(inverse(X2),X4,X3)
| ~ product(X2,X3,X4) ),
inference(resolution,[],[f6,f1]) ).
fof(f6,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,X0,identity)
| ~ product(X0,X1,X2)
| product(X3,X2,X1) ),
inference(resolution,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X2,X3,X5)
| ~ product(X1,X3,X4)
| ~ product(X0,X1,X2)
| product(X0,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 21:31:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (31572)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)
% 0.19/0.49 % (31553)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.49 % (31552)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.50 % (31554)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)
% 0.19/0.50 % (31561)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.50 % (31553)First to succeed.
% 0.19/0.50 % (31553)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (31553)------------------------------
% 0.19/0.50 % (31553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (31553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (31553)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (31553)Memory used [KB]: 5884
% 0.19/0.50 % (31553)Time elapsed: 0.096 s
% 0.19/0.50 % (31553)Instructions burned: 9 (million)
% 0.19/0.50 % (31553)------------------------------
% 0.19/0.50 % (31553)------------------------------
% 0.19/0.50 % (31545)Success in time 0.158 s
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