TSTP Solution File: GRP003-2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP003-2 : 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 : n022.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 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 31 ( 19 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f34,plain,
$false,
inference(resolution,[],[f31,f2]) ).
fof(f2,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f31,plain,
! [X10] : ~ product(X10,inverse(a),identity),
inference(resolution,[],[f26,f2]) ).
fof(f26,plain,
! [X0,X1] :
( ~ product(X1,a,identity)
| ~ product(X0,X1,identity) ),
inference(resolution,[],[f22,f1]) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f22,plain,
! [X2,X3,X0,X1] :
( ~ product(X2,X3,a)
| ~ product(X0,X1,X2)
| ~ product(X1,X3,identity) ),
inference(resolution,[],[f21,f5]) ).
fof(f5,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X0,X5,X3)
| ~ product(X0,X1,X4)
| ~ product(X4,X2,X3)
| ~ product(X1,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).
fof(f21,plain,
! [X0] : ~ product(X0,identity,a),
inference(duplicate_literal_removal,[],[f16]) ).
fof(f16,plain,
! [X0] :
( ~ product(X0,identity,a)
| ~ product(X0,identity,a) ),
inference(resolution,[],[f10,f1]) ).
fof(f10,plain,
! [X3,X4,X5] :
( ~ product(X5,identity,X4)
| ~ product(X3,X4,a)
| ~ product(X3,X5,a) ),
inference(resolution,[],[f8,f6]) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X4,X2,X3)
| ~ product(X0,X5,X3)
| ~ product(X0,X1,X4)
| ~ product(X1,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity2) ).
fof(f8,axiom,
~ product(a,identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_right_identity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP003-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % 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 : n022.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 22:07:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.46 % (23619)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.49 % (23621)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49 % (23632)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.18/0.49 % (23623)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49 % (23623)Refutation not found, incomplete strategy% (23623)------------------------------
% 0.18/0.49 % (23623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (23623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (23623)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.49
% 0.18/0.49 % (23623)Memory used [KB]: 5756
% 0.18/0.49 % (23623)Time elapsed: 0.110 s
% 0.18/0.49 % (23623)Instructions burned: 1 (million)
% 0.18/0.49 % (23623)------------------------------
% 0.18/0.49 % (23623)------------------------------
% 0.18/0.49 % (23632)First to succeed.
% 0.18/0.49 % (23624)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.49 % (23632)Refutation found. Thanks to Tanya!
% 0.18/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.49 % (23632)------------------------------
% 0.18/0.49 % (23632)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (23632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (23632)Termination reason: Refutation
% 0.18/0.49
% 0.18/0.49 % (23632)Memory used [KB]: 10234
% 0.18/0.49 % (23632)Time elapsed: 0.119 s
% 0.18/0.49 % (23632)Instructions burned: 3 (million)
% 0.18/0.49 % (23632)------------------------------
% 0.18/0.49 % (23632)------------------------------
% 0.18/0.49 % (23613)Success in time 0.161 s
%------------------------------------------------------------------------------