TSTP Solution File: LAT012-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LAT012-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 : 600s
% DateTime : Sun Jul 17 06:48:35 EDT 2022
% Result : Unsatisfiable 3.60s 3.77s
% Output : Refutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 16 RR)
% Number of literals : 16 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(join(u,meet(v,meet(u,w))),u),
file('LAT012-1.p',unknown),
[] ).
cnf(2,axiom,
equal(meet(u,join(v,join(u,w))),u),
file('LAT012-1.p',unknown),
[] ).
cnf(3,axiom,
equal(join(join(meet(u,v),meet(v,w)),v),v),
file('LAT012-1.p',unknown),
[] ).
cnf(4,axiom,
equal(meet(meet(join(u,v),join(v,w)),v),v),
file('LAT012-1.p',unknown),
[] ).
cnf(5,axiom,
~ equal(meet(a,b),meet(b,a)),
file('LAT012-1.p',unknown),
[] ).
cnf(7,plain,
equal(meet(u,join(v,u)),u),
inference(spr,[status(thm),theory(equality)],[1,2]),
[iquote('0:SpR:1.0,2.0')] ).
cnf(9,plain,
equal(join(u,meet(v,u)),u),
inference(spr,[status(thm),theory(equality)],[2,1]),
[iquote('0:SpR:2.0,1.0')] ).
cnf(14,plain,
equal(join(u,meet(u,v)),u),
inference(spr,[status(thm),theory(equality)],[4,1]),
[iquote('0:SpR:4.0,1.0')] ).
cnf(27,plain,
equal(meet(meet(u,join(meet(v,u),w)),meet(v,u)),meet(v,u)),
inference(spr,[status(thm),theory(equality)],[9,4]),
[iquote('0:SpR:9.0,4.0')] ).
cnf(48,plain,
equal(meet(meet(u,v),u),meet(u,v)),
inference(spr,[status(thm),theory(equality)],[14,7]),
[iquote('0:SpR:14.0,7.0')] ).
cnf(69,plain,
equal(join(meet(u,v),v),v),
inference(spr,[status(thm),theory(equality)],[1,3]),
[iquote('0:SpR:1.0,3.0')] ).
cnf(201,plain,
equal(join(meet(u,v),u),u),
inference(spr,[status(thm),theory(equality)],[48,69]),
[iquote('0:SpR:48.0,69.0')] ).
cnf(4966,plain,
equal(meet(meet(u,v),meet(v,u)),meet(v,u)),
inference(spr,[status(thm),theory(equality)],[201,27]),
[iquote('0:SpR:201.0,27.0')] ).
cnf(15982,plain,
equal(meet(meet(u,v),meet(v,u)),meet(u,v)),
inference(spr,[status(thm),theory(equality)],[4966,48]),
[iquote('0:SpR:4966.0,48.0')] ).
cnf(16213,plain,
equal(meet(u,v),meet(v,u)),
inference(rew,[status(thm),theory(equality)],[4966,15982]),
[iquote('0:Rew:4966.0,15982.0')] ).
cnf(16214,plain,
$false,
inference(unc,[status(thm)],[16213,5]),
[iquote('0:UnC:16213.0,5.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : LAT012-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n004.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 : 600
% 0.12/0.33 % DateTime : Wed Jun 29 13:29:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.60/3.77
% 3.60/3.77 SPASS V 3.9
% 3.60/3.77 SPASS beiseite: Proof found.
% 3.60/3.77 % SZS status Theorem
% 3.60/3.77 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.60/3.77 SPASS derived 14304 clauses, backtracked 0 clauses, performed 0 splits and kept 2408 clauses.
% 3.60/3.77 SPASS allocated 74531 KBytes.
% 3.60/3.77 SPASS spent 0:00:03.38 on the problem.
% 3.60/3.77 0:00:00.03 for the input.
% 3.60/3.77 0:00:00.00 for the FLOTTER CNF translation.
% 3.60/3.77 0:00:00.09 for inferences.
% 3.60/3.77 0:00:00.00 for the backtracking.
% 3.60/3.77 0:00:03.23 for the reduction.
% 3.60/3.77
% 3.60/3.77
% 3.60/3.77 Here is a proof with depth 5, length 16 :
% 3.60/3.77 % SZS output start Refutation
% See solution above
% 3.60/3.77 Formulae used in the proof : mckenzie1 mckenzie2 mckenzie3 mckenzie4 prove_commutativity_of_meet
% 3.60/3.77
%------------------------------------------------------------------------------