TSTP Solution File: SYO578+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYO578+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n013.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 19:54:47 EDT 2022
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 5 unt; 0 nHn; 8 RR)
% Number of literals : 12 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
k04_buttercup10100(skc59),
file('SYO578+1.p',unknown),
[] ).
cnf(26,axiom,
b48_buttercup10098(skc92),
file('SYO578+1.p',unknown),
[] ).
cnf(62,axiom,
~ k04_buttercup10100(skc92),
file('SYO578+1.p',unknown),
[] ).
cnf(109,axiom,
( ~ k04_buttercup10100(u)
| b48_buttercup10098(u) ),
file('SYO578+1.p',unknown),
[] ).
cnf(170,axiom,
( ~ b48_buttercup10098(u)
| ~ b48_buttercup10098(skc59)
| k04_buttercup10100(u) ),
file('SYO578+1.p',unknown),
[] ).
cnf(202,plain,
b48_buttercup10098(skc59),
inference(res,[status(thm),theory(equality)],[2,109]),
[iquote('0:Res:2.0,109.0')] ).
cnf(226,plain,
( ~ b48_buttercup10098(skc59)
| k04_buttercup10100(skc92) ),
inference(res,[status(thm),theory(equality)],[26,170]),
[iquote('0:Res:26.0,170.0')] ).
cnf(239,plain,
$false,
inference(mrr,[status(thm)],[226,202,62]),
[iquote('0:MRR:226.0,226.1,202.0,62.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO578+1 : TPTP v8.1.0. Released v5.5.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n013.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 : Sat Jul 9 06:33:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.48
% 0.18/0.48 SPASS V 3.9
% 0.18/0.48 SPASS beiseite: Proof found.
% 0.18/0.48 % SZS status Theorem
% 0.18/0.48 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 SPASS derived 50 clauses, backtracked 0 clauses, performed 0 splits and kept 167 clauses.
% 0.18/0.48 SPASS allocated 97946 KBytes.
% 0.18/0.48 SPASS spent 0:00:00.13 on the problem.
% 0.18/0.48 0:00:00.04 for the input.
% 0.18/0.48 0:00:00.04 for the FLOTTER CNF translation.
% 0.18/0.48 0:00:00.00 for inferences.
% 0.18/0.48 0:00:00.00 for the backtracking.
% 0.18/0.48 0:00:00.01 for the reduction.
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 Here is a proof with depth 1, length 8 :
% 0.18/0.48 % SZS output start Refutation
% See solution above
% 0.18/0.48 Formulae used in the proof : goals_86 sos_30 sos_26 sos_21
% 0.18/0.48
%------------------------------------------------------------------------------