TSTP Solution File: SYN256-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN256-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n006.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 12:19:46 EDT 2022
% Result : Unsatisfiable 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 12 RR)
% Number of literals : 18 ( 0 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ n2(c),
file('SYN256-1.p',unknown),
[] ).
cnf(25,axiom,
l0(c),
file('SYN256-1.p',unknown),
[] ).
cnf(27,axiom,
n0(d,c),
file('SYN256-1.p',unknown),
[] ).
cnf(29,axiom,
k0(e),
file('SYN256-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ n0(u,v)
| k1(v) ),
file('SYN256-1.p',unknown),
[] ).
cnf(118,axiom,
( ~ k1(u)
| ~ k0(e)
| ~ l0(c)
| p1(u,u,u) ),
file('SYN256-1.p',unknown),
[] ).
cnf(176,axiom,
( ~ p1(u,v,w)
| n2(w) ),
file('SYN256-1.p',unknown),
[] ).
cnf(398,plain,
( ~ k1(u)
| p1(u,u,u) ),
inference(mrr,[status(thm)],[118,29,25]),
[iquote('0:MRR:118.1,118.2,29.0,25.0')] ).
cnf(419,plain,
~ p1(u,v,c),
inference(res,[status(thm),theory(equality)],[176,1]),
[iquote('0:Res:176.1,1.0')] ).
cnf(458,plain,
k1(c),
inference(res,[status(thm),theory(equality)],[27,40]),
[iquote('0:Res:27.0,40.0')] ).
cnf(473,plain,
~ k1(c),
inference(res,[status(thm),theory(equality)],[398,419]),
[iquote('0:Res:398.1,419.0')] ).
cnf(474,plain,
$false,
inference(ssi,[status(thm)],[473,25,458]),
[iquote('0:SSi:473.0,25.0,458.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN256-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 22:40:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.47
% 0.19/0.47 SPASS V 3.9
% 0.19/0.47 SPASS beiseite: Proof found.
% 0.19/0.47 % SZS status Theorem
% 0.19/0.47 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 SPASS derived 23 clauses, backtracked 0 clauses, performed 0 splits and kept 349 clauses.
% 0.19/0.47 SPASS allocated 76113 KBytes.
% 0.19/0.47 SPASS spent 0:00:00.11 on the problem.
% 0.19/0.47 0:00:00.04 for the input.
% 0.19/0.47 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.47 0:00:00.00 for inferences.
% 0.19/0.47 0:00:00.00 for the backtracking.
% 0.19/0.47 0:00:00.03 for the reduction.
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 Here is a proof with depth 2, length 12 :
% 0.19/0.47 % SZS output start Refutation
% See solution above
% 0.19/0.47 Formulae used in the proof : prove_this axiom_24 axiom_26 axiom_28 rule_001 rule_079 rule_137
% 0.19/0.47
%------------------------------------------------------------------------------