TSTP Solution File: SYN054-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN054-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 12:17:41 EDT 2022
% Result : Unsatisfiable 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 4 unt; 2 nHn; 9 RR)
% Number of literals : 15 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 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(1,axiom,
( ~ big_s(u)
| ~ big_q(u) ),
file('SYN054-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ big_p(u)
| big_q(u)
| big_r(u) ),
file('SYN054-1.p',unknown),
[] ).
cnf(3,axiom,
( big_p(a)
| big_q(b) ),
file('SYN054-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ big_q(u)
| big_s(u) ),
file('SYN054-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ big_r(u)
| ~ big_p(u) ),
file('SYN054-1.p',unknown),
[] ).
cnf(7,plain,
~ big_q(u),
inference(mrr,[status(thm)],[1,4]),
[iquote('0:MRR:1.0,4.1')] ).
cnf(8,plain,
big_p(a),
inference(mrr,[status(thm)],[3,7]),
[iquote('0:MRR:3.1,7.0')] ).
cnf(9,plain,
~ big_p(u),
inference(mrr,[status(thm)],[2,7,6]),
[iquote('0:MRR:2.1,2.2,7.0,6.1')] ).
cnf(10,plain,
$false,
inference(unc,[status(thm)],[9,8]),
[iquote('0:UnC:9.0,8.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SYN054-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.14 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jul 11 11:25:08 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.43
% 0.21/0.43 SPASS V 3.9
% 0.21/0.43 SPASS beiseite: Proof found.
% 0.21/0.43 % SZS status Theorem
% 0.21/0.43 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.43 SPASS derived 1 clauses, backtracked 0 clauses, performed 0 splits and kept 7 clauses.
% 0.21/0.43 SPASS allocated 75579 KBytes.
% 0.21/0.43 SPASS spent 0:00:00.06 on the problem.
% 0.21/0.43 0:00:00.04 for the input.
% 0.21/0.43 0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.43 0:00:00.00 for inferences.
% 0.21/0.43 0:00:00.00 for the backtracking.
% 0.21/0.43 0:00:00.00 for the reduction.
% 0.21/0.43
% 0.21/0.43
% 0.21/0.43 Here is a proof with depth 0, length 9 :
% 0.21/0.43 % SZS output start Refutation
% See solution above
% 0.21/0.43 Formulae used in the proof : clause_1 clause_2 clause_3 clause_4 clause_6
% 0.21/0.43
%------------------------------------------------------------------------------