TSTP Solution File: ALG017+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : ALG017+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 : Thu Jul 14 18:01:58 EDT 2022
% Result : Theorem 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 8 ( 6 unt; 2 nHn; 8 RR)
% Number of literals : 14 ( 0 equ; 4 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ skC0,
file('ALG017+1.p',unknown),
[] ).
cnf(2,axiom,
~ skC1,
file('ALG017+1.p',unknown),
[] ).
cnf(3,axiom,
~ skC2,
file('ALG017+1.p',unknown),
[] ).
cnf(7,axiom,
~ equal(e3,e0),
file('ALG017+1.p',unknown),
[] ).
cnf(23,axiom,
equal(op(e3,e3),e0),
file('ALG017+1.p',unknown),
[] ).
cnf(42,axiom,
( equal(op(e3,e3),e3)
| skC0
| skC1
| skC2 ),
file('ALG017+1.p',unknown),
[] ).
cnf(203,plain,
( equal(e3,e0)
| skC0
| skC1
| skC2 ),
inference(rew,[status(thm),theory(equality)],[23,42]),
[iquote('0:Rew:23.0,42.0')] ).
cnf(204,plain,
$false,
inference(mrr,[status(thm)],[203,7,1,2,3]),
[iquote('0:MRR:203.0,203.1,203.2,203.3,7.0,1.0,2.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG017+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n029.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 8 23:58:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.46
% 0.18/0.46 SPASS V 3.9
% 0.18/0.46 SPASS beiseite: Proof found.
% 0.18/0.46 % SZS status Theorem
% 0.18/0.46 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 86 clauses.
% 0.18/0.46 SPASS allocated 85561 KBytes.
% 0.18/0.46 SPASS spent 0:00:00.12 on the problem.
% 0.18/0.46 0:00:00.04 for the input.
% 0.18/0.46 0:00:00.04 for the FLOTTER CNF translation.
% 0.18/0.46 0:00:00.00 for inferences.
% 0.18/0.46 0:00:00.00 for the backtracking.
% 0.18/0.46 0:00:00.00 for the reduction.
% 0.18/0.46
% 0.18/0.46
% 0.18/0.46 Here is a proof with depth 0, length 8 :
% 0.18/0.46 % SZS output start Refutation
% See solution above
% 0.18/0.46 Formulae used in the proof : co1 ax10 ax11
% 0.18/0.46
%------------------------------------------------------------------------------