TSTP Solution File: SYN058-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN058-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 12:17:44 EDT 2022
% Result : Unsatisfiable 0.18s 0.40s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 11 RR)
% Number of literals : 16 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ big_p(u)
| big_q(v) ),
file('SYN058-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ big_q(b)
| big_s(c) ),
file('SYN058-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ big(u)
| ~ big_s(v)
| big_g(u) ),
file('SYN058-1.p',unknown),
[] ).
cnf(7,axiom,
big_p(d),
file('SYN058-1.p',unknown),
[] ).
cnf(8,axiom,
big(d),
file('SYN058-1.p',unknown),
[] ).
cnf(9,axiom,
~ big_g(d),
file('SYN058-1.p',unknown),
[] ).
cnf(10,plain,
( ~ big_s(u)
| big_g(d) ),
inference(res,[status(thm),theory(equality)],[8,6]),
[iquote('0:Res:8.0,6.1')] ).
cnf(11,plain,
big_q(u),
inference(res,[status(thm),theory(equality)],[7,1]),
[iquote('0:Res:7.0,1.0')] ).
cnf(13,plain,
big_s(c),
inference(mrr,[status(thm)],[3,11]),
[iquote('0:MRR:3.0,11.0')] ).
cnf(14,plain,
~ big_s(u),
inference(mrr,[status(thm)],[10,9]),
[iquote('0:MRR:10.1,9.0')] ).
cnf(15,plain,
$false,
inference(unc,[status(thm)],[14,13]),
[iquote('0:UnC:14.0,13.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN058-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n028.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 : Mon Jul 11 13:57:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.40
% 0.18/0.40 SPASS V 3.9
% 0.18/0.40 SPASS beiseite: Proof found.
% 0.18/0.40 % SZS status Theorem
% 0.18/0.40 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.40 SPASS derived 4 clauses, backtracked 0 clauses, performed 0 splits and kept 12 clauses.
% 0.18/0.40 SPASS allocated 75586 KBytes.
% 0.18/0.40 SPASS spent 0:00:00.05 on the problem.
% 0.18/0.40 0:00:00.03 for the input.
% 0.18/0.40 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.40 0:00:00.00 for inferences.
% 0.18/0.40 0:00:00.00 for the backtracking.
% 0.18/0.40 0:00:00.00 for the reduction.
% 0.18/0.40
% 0.18/0.40
% 0.18/0.40 Here is a proof with depth 1, length 11 :
% 0.18/0.40 % SZS output start Refutation
% See solution above
% 0.18/0.40 Formulae used in the proof : clause_1 clause_3 clause_6 clause_7 clause_8 clause_9
% 0.18/0.40
%------------------------------------------------------------------------------