TSTP Solution File: SYN175-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN175-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n012.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 12:19:13 EDT 2022
% Result : Unsatisfiable 0.18s 0.45s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 5 unt; 0 nHn; 8 RR)
% Number of literals : 12 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ q2(u,d,v),
file('SYN175-1.p',unknown),
[] ).
cnf(18,axiom,
q0(u,d),
file('SYN175-1.p',unknown),
[] ).
cnf(84,axiom,
( ~ q0(d,d)
| n1(d,d,d) ),
file('SYN175-1.p',unknown),
[] ).
cnf(217,axiom,
( ~ q0(u,v)
| ~ n1(u,v,w)
| q2(v,v,v) ),
file('SYN175-1.p',unknown),
[] ).
cnf(376,plain,
n1(d,d,d),
inference(mrr,[status(thm)],[84,18]),
[iquote('0:MRR:84.0,18.0')] ).
cnf(423,plain,
( ~ q0(u,d)
| ~ n1(u,d,v) ),
inference(res,[status(thm),theory(equality)],[217,1]),
[iquote('0:Res:217.2,1.0')] ).
cnf(428,plain,
~ n1(u,d,v),
inference(mrr,[status(thm)],[423,18]),
[iquote('0:MRR:423.0,18.0')] ).
cnf(429,plain,
$false,
inference(unc,[status(thm)],[428,376]),
[iquote('0:UnC:428.0,376.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN175-1 : TPTP v8.1.0. Released v1.1.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n012.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 12:59:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45
% 0.18/0.45 SPASS V 3.9
% 0.18/0.45 SPASS beiseite: Proof found.
% 0.18/0.45 % SZS status Theorem
% 0.18/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 SPASS derived 10 clauses, backtracked 0 clauses, performed 0 splits and kept 338 clauses.
% 0.18/0.45 SPASS allocated 76102 KBytes.
% 0.18/0.45 SPASS spent 0:00:00.10 on the problem.
% 0.18/0.45 0:00:00.04 for the input.
% 0.18/0.45 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.45 0:00:00.00 for inferences.
% 0.18/0.45 0:00:00.00 for the backtracking.
% 0.18/0.45 0:00:00.02 for the reduction.
% 0.18/0.45
% 0.18/0.45
% 0.18/0.45 Here is a proof with depth 1, length 8 :
% 0.18/0.45 % SZS output start Refutation
% See solution above
% 0.18/0.45 Formulae used in the proof : prove_this axiom_17 rule_045 rule_178
% 0.18/0.45
%------------------------------------------------------------------------------