TSTP Solution File: GRP001-5 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP001-5 : 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 : n007.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 16:13:40 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f95,plain,
$false,
inference(subsumption_resolution,[],[f94,f7]) ).
fof(f7,axiom,
~ product(b,a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_times_a_is_c) ).
fof(f94,plain,
product(b,a,c),
inference(resolution,[],[f52,f72]) ).
fof(f72,plain,
product(b,c,a),
inference(resolution,[],[f69,f23]) ).
fof(f23,plain,
! [X2,X0,X1] :
( ~ product(X2,X1,X0)
| product(X0,X1,X2) ),
inference(resolution,[],[f16,f2]) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
fof(f16,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,identity,X2)
| product(X0,X1,X2)
| ~ product(X3,X1,X0) ),
inference(resolution,[],[f4,f5]) ).
fof(f5,axiom,
! [X0] : product(X0,X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',square_element) ).
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(f69,plain,
product(a,c,b),
inference(resolution,[],[f41,f5]) ).
fof(f41,plain,
! [X4] :
( ~ product(X4,a,identity)
| product(X4,c,b) ),
inference(resolution,[],[f11,f6]) ).
fof(f6,axiom,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_b_is_c) ).
fof(f11,plain,
! [X11,X14,X12,X13] :
( ~ product(X14,X13,X12)
| product(X11,X12,X13)
| ~ product(X11,X14,identity) ),
inference(resolution,[],[f3,f1]) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f3,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X2,X3,X5)
| product(X0,X4,X5)
| ~ product(X1,X3,X4)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity1) ).
fof(f52,plain,
! [X0] :
( ~ product(X0,c,a)
| product(X0,a,c) ),
inference(resolution,[],[f45,f10]) ).
fof(f10,plain,
! [X10,X8,X9] :
( ~ product(X10,b,X9)
| ~ product(X8,X10,a)
| product(X8,X9,c) ),
inference(resolution,[],[f3,f6]) ).
fof(f45,plain,
product(c,b,a),
inference(resolution,[],[f23,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP001-5 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 21:51:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (31494)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.50 % (31509)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.50 % (31494)First to succeed.
% 0.19/0.50 % (31498)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)
% 0.19/0.51 % (31494)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (31494)------------------------------
% 0.19/0.51 % (31494)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (31494)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (31494)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (31494)Memory used [KB]: 5756
% 0.19/0.51 % (31494)Time elapsed: 0.095 s
% 0.19/0.51 % (31494)Instructions burned: 5 (million)
% 0.19/0.51 % (31494)------------------------------
% 0.19/0.51 % (31494)------------------------------
% 0.19/0.51 % (31493)Success in time 0.158 s
%------------------------------------------------------------------------------