TSTP Solution File: GEO524+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO524+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %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 : 600s
% DateTime : Sat Jul 16 06:25:04 EDT 2022
% Result : Theorem 7.77s 7.99s
% Output : Refutation 7.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 4 unt; 3 nHn; 7 RR)
% Number of literals : 10 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ equal(skc7,skc6),
file('GEO524+1.p',unknown),
[] ).
cnf(2,axiom,
~ equal(skc5,skc4),
file('GEO524+1.p',unknown),
[] ).
cnf(32,axiom,
equal(reflect(skc7,skc6,skc5),reflect(skc7,skc6,skc4)),
file('GEO524+1.p',unknown),
[] ).
cnf(99,axiom,
( equal(u,v)
| equal(reflect(u,v,reflect(u,v,w)),w) ),
file('GEO524+1.p',unknown),
[] ).
cnf(10002,plain,
( equal(skc7,skc6)
| equal(reflect(skc7,skc6,reflect(skc7,skc6,skc4)),skc5) ),
inference(spr,[status(thm),theory(equality)],[32,99]),
[iquote('0:SpR:32.0,99.1')] ).
cnf(10005,plain,
( equal(skc7,skc6)
| equal(skc5,skc4) ),
inference(rew,[status(thm),theory(equality)],[99,10002]),
[iquote('0:Rew:99.1,10002.1')] ).
cnf(10006,plain,
$false,
inference(mrr,[status(thm)],[10005,1,2]),
[iquote('0:MRR:10005.0,10005.1,1.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO524+1 : TPTP v8.1.0. Released v7.0.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 07:43:17 EDT 2022
% 0.13/0.35 % CPUTime :
% 7.77/7.99
% 7.77/7.99 SPASS V 3.9
% 7.77/7.99 SPASS beiseite: Proof found.
% 7.77/7.99 % SZS status Theorem
% 7.77/7.99 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.77/7.99 SPASS derived 6089 clauses, backtracked 4477 clauses, performed 17 splits and kept 9916 clauses.
% 7.77/7.99 SPASS allocated 93206 KBytes.
% 7.77/7.99 SPASS spent 0:00:07.52 on the problem.
% 7.77/7.99 0:00:00.04 for the input.
% 7.77/7.99 0:00:00.08 for the FLOTTER CNF translation.
% 7.77/7.99 0:00:00.02 for inferences.
% 7.77/7.99 0:00:00.34 for the backtracking.
% 7.77/7.99 0:00:06.65 for the reduction.
% 7.77/7.99
% 7.77/7.99
% 7.77/7.99 Here is a proof with depth 1, length 7 :
% 7.77/7.99 % SZS output start Refutation
% See solution above
% 7.77/7.99 Formulae used in the proof : aSatz10_7 aSatz10_6
% 7.77/7.99
%------------------------------------------------------------------------------