TSTP Solution File: GRP043-2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP043-2 : 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_sat --cores 0 -t %d %s
% Computer : n027.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 16:19:14 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 8 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f78,plain,
$false,
inference(subsumption_resolution,[],[f68,f10]) ).
fof(f10,axiom,
~ equalish(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_transitivity) ).
fof(f68,plain,
equalish(a,c),
inference(resolution,[],[f63,f53]) ).
fof(f53,plain,
! [X0] :
( ~ product(identity,b,X0)
| equalish(X0,c) ),
inference(resolution,[],[f25,f1]) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,b)
| equalish(X2,c)
| ~ product(X0,X1,X2) ),
inference(resolution,[],[f21,f4]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| equalish(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',total_function2) ).
fof(f21,plain,
! [X8,X9] :
( product(X8,X9,c)
| ~ product(X8,X9,b) ),
inference(resolution,[],[f7,f9]) ).
fof(f9,axiom,
equalish(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_equals_c) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ equalish(X0,X1)
| product(X3,X2,X1)
| ~ product(X3,X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_substitution3) ).
fof(f63,plain,
product(identity,b,a),
inference(resolution,[],[f30,f1]) ).
fof(f30,plain,
! [X0,X1] :
( ~ product(X0,X1,b)
| product(X0,X1,a) ),
inference(resolution,[],[f29,f7]) ).
fof(f29,plain,
equalish(b,a),
inference(resolution,[],[f23,f1]) ).
fof(f23,plain,
! [X3] :
( ~ product(identity,X3,a)
| equalish(b,X3) ),
inference(resolution,[],[f20,f11]) ).
fof(f11,plain,
! [X0,X1] :
( ~ product(identity,X0,X1)
| equalish(X1,X0) ),
inference(resolution,[],[f4,f1]) ).
fof(f20,plain,
! [X6,X7] :
( product(X6,X7,b)
| ~ product(X6,X7,a) ),
inference(resolution,[],[f7,f8]) ).
fof(f8,axiom,
equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_equals_b) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP043-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:25:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (10979)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.51 % (10988)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (10992)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (10986)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (10981)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51 % (11000)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.51 % (10981)First to succeed.
% 0.19/0.52 % (10981)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (10981)------------------------------
% 0.19/0.52 % (10981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (10981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (10981)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (10981)Memory used [KB]: 895
% 0.19/0.52 % (10981)Time elapsed: 0.129 s
% 0.19/0.52 % (10981)Instructions burned: 4 (million)
% 0.19/0.52 % (10981)------------------------------
% 0.19/0.52 % (10981)------------------------------
% 0.19/0.52 % (10978)Success in time 0.172 s
%------------------------------------------------------------------------------