TSTP Solution File: SYN346+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN346+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 21 12:20:35 EDT 2022
% Result : Theorem 0.09s 0.31s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of clauses : 4 ( 3 unt; 0 nHn; 4 RR)
% Number of literals : 5 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
big(u,skf2(u,v)),
file('SYN346+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ big(u,skf2(v,u))
| ~ big(skc1,skf2(v,u)) ),
file('SYN346+1.p',unknown),
[] ).
cnf(5,plain,
~ big(skc1,skf2(u,u)),
inference(res,[status(thm),theory(equality)],[2,3]),
[iquote('0:Res:2.0,3.0')] ).
cnf(6,plain,
$false,
inference(unc,[status(thm)],[5,2]),
[iquote('0:UnC:5.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYN346+1 : TPTP v8.1.0. Released v2.0.0.
% 0.00/0.07 % Command : run_spass %d %s
% 0.06/0.25 % Computer : n019.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 600
% 0.06/0.25 % DateTime : Tue Jul 12 01:26:38 EDT 2022
% 0.06/0.25 % CPUTime :
% 0.09/0.31
% 0.09/0.31 SPASS V 3.9
% 0.09/0.31 SPASS beiseite: Proof found.
% 0.09/0.31 % SZS status Theorem
% 0.09/0.31 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.31 SPASS derived 1 clauses, backtracked 0 clauses, performed 0 splits and kept 5 clauses.
% 0.09/0.31 SPASS allocated 85060 KBytes.
% 0.09/0.31 SPASS spent 0:00:00.05 on the problem.
% 0.09/0.31 0:00:00.02 for the input.
% 0.09/0.31 0:00:00.01 for the FLOTTER CNF translation.
% 0.09/0.31 0:00:00.00 for inferences.
% 0.09/0.31 0:00:00.00 for the backtracking.
% 0.09/0.31 0:00:00.00 for the reduction.
% 0.09/0.31
% 0.09/0.31
% 0.09/0.31 Here is a proof with depth 1, length 4 :
% 0.09/0.31 % SZS output start Refutation
% See solution above
% 0.09/0.31 Formulae used in the proof : church_46_17_2
% 0.09/0.31
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