TSTP Solution File: GRP003-1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP003-1 : 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_sat --cores 0 -t %d %s
% Computer : n003.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 16:18:53 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 : 17 ( 9 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 38 ( 20 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 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 : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f70,plain,
$false,
inference(subsumption_resolution,[],[f10,f65]) ).
fof(f65,plain,
! [X3] : product(X3,identity,X3),
inference(resolution,[],[f39,f24]) ).
fof(f24,plain,
! [X1] : product(inverse(inverse(X1)),identity,X1),
inference(resolution,[],[f16,f6]) ).
fof(f6,plain,
! [X0] : product(inverse(X0),X0,identity),
inference(literal_reordering,[],[f1]) ).
fof(f1,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f16,plain,
! [X2,X3,X4] :
( ~ product(X2,X3,X4)
| product(inverse(X2),X4,X3) ),
inference(resolution,[],[f11,f6]) ).
fof(f11,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,X3,identity)
| ~ product(X3,X2,X1)
| product(X0,X1,X2) ),
inference(resolution,[],[f7,f8]) ).
fof(f8,plain,
! [X0] : product(identity,X0,X0),
inference(literal_reordering,[],[f2]) ).
fof(f2,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X2,X3,X5)
| product(X0,X4,X5)
| ~ product(X0,X1,X2)
| ~ product(X1,X3,X4) ),
inference(literal_reordering,[],[f3]) ).
fof(f3,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X3,X4)
| product(X0,X4,X5)
| ~ product(X0,X1,X2)
| ~ product(X2,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).
fof(f39,plain,
! [X3,X4,X5] :
( ~ product(inverse(inverse(X3)),X4,X5)
| product(X3,X4,X5) ),
inference(resolution,[],[f24,f13]) ).
fof(f13,plain,
! [X2,X3,X0,X1] :
( ~ product(X0,identity,X1)
| product(X1,X2,X3)
| ~ product(X0,X2,X3) ),
inference(resolution,[],[f9,f8]) ).
fof(f9,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X3,X4)
| ~ product(X0,X1,X2)
| product(X2,X3,X5)
| ~ product(X0,X4,X5) ),
inference(literal_reordering,[],[f4]) ).
fof(f4,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X0,X4,X5)
| product(X2,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity2) ).
fof(f10,plain,
~ product(a,identity,a),
inference(literal_reordering,[],[f5]) ).
fof(f5,axiom,
~ product(a,identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_a_right_identity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n003.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 22:07:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47 % (14211)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.18/0.48 % (14201)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.48 % (14211)First to succeed.
% 0.18/0.48 TRYING [1]
% 0.18/0.48 TRYING [2]
% 0.18/0.48 TRYING [3]
% 0.18/0.49 TRYING [4]
% 0.18/0.49 % (14199)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.18/0.49 % (14220)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.18/0.49 % (14203)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.18/0.49 % (14211)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 % (14211)------------------------------
% 0.18/0.49 % (14211)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49 % (14211)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49 % (14211)Termination reason: Refutation
% 0.18/0.49
% 0.18/0.49 % (14211)Memory used [KB]: 5756
% 0.18/0.49 % (14211)Time elapsed: 0.007 s
% 0.18/0.49 % (14211)Instructions burned: 6 (million)
% 0.18/0.49 % (14211)------------------------------
% 0.18/0.49 % (14211)------------------------------
% 0.18/0.49 % (14192)Success in time 0.153 s
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