TSTP Solution File: SYN009-4 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN009-4 : TPTP v8.1.0. Released v2.5.0.
% 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 12:17:14 EDT 2022
% Result : Unsatisfiable 0.18s 0.41s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 16 ( 4 unt; 4 nHn; 16 RR)
% Number of literals : 58 ( 0 equ; 41 neg)
% Maximal clause size : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 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,
( ~ m(u,v,w)
| ~ p(u,v,w) ),
file('SYN009-4.p',unknown),
[] ).
cnf(2,axiom,
( ~ m(u,v,w)
| ~ q(u,v,w) ),
file('SYN009-4.p',unknown),
[] ).
cnf(3,axiom,
( ~ m(u,v,w)
| ~ r(u,v,w) ),
file('SYN009-4.p',unknown),
[] ).
cnf(6,axiom,
s(c),
file('SYN009-4.p',unknown),
[] ).
cnf(7,axiom,
~ n(c,c,c),
file('SYN009-4.p',unknown),
[] ).
cnf(8,axiom,
( ~ s(u)
| ~ s(v)
| ~ s(w)
| r(w,v,u)
| q(w,v,u)
| p(w,v,u) ),
file('SYN009-4.p',unknown),
[] ).
cnf(9,axiom,
( ~ s(u)
| ~ s(v)
| ~ s(w)
| n(w,v,u)
| m(w,v,u) ),
file('SYN009-4.p',unknown),
[] ).
cnf(13,plain,
( ~ s(u)
| ~ s(v)
| ~ s(w)
| ~ p(w,v,u)
| n(w,v,u) ),
inference(res,[status(thm),theory(equality)],[9,1]),
[iquote('0:Res:9.4,1.0')] ).
cnf(14,plain,
( ~ s(u)
| ~ s(v)
| ~ s(w)
| ~ q(w,v,u)
| n(w,v,u) ),
inference(res,[status(thm),theory(equality)],[9,2]),
[iquote('0:Res:9.4,2.0')] ).
cnf(15,plain,
( ~ s(u)
| ~ s(v)
| ~ s(w)
| ~ r(w,v,u)
| n(w,v,u) ),
inference(res,[status(thm),theory(equality)],[9,3]),
[iquote('0:Res:9.4,3.0')] ).
cnf(16,plain,
( ~ s(u)
| ~ s(v)
| ~ s(w)
| ~ s(u)
| ~ s(v)
| ~ s(w)
| r(w,v,u)
| q(w,v,u)
| n(w,v,u) ),
inference(res,[status(thm),theory(equality)],[8,13]),
[iquote('0:Res:8.5,13.3')] ).
cnf(17,plain,
( ~ s(u)
| ~ s(v)
| ~ s(w)
| r(w,v,u)
| q(w,v,u)
| n(w,v,u) ),
inference(obv,[status(thm),theory(equality)],[16]),
[iquote('0:Obv:16.2')] ).
cnf(18,plain,
( ~ s(u)
| ~ s(v)
| ~ s(w)
| n(w,v,u) ),
inference(mrr,[status(thm)],[17,15,14]),
[iquote('0:MRR:17.3,17.4,15.3,14.3')] ).
cnf(19,plain,
( ~ s(c)
| ~ s(c)
| ~ s(c) ),
inference(res,[status(thm),theory(equality)],[18,7]),
[iquote('0:Res:18.3,7.0')] ).
cnf(20,plain,
~ s(c),
inference(obv,[status(thm),theory(equality)],[19]),
[iquote('0:Obv:19.1')] ).
cnf(21,plain,
$false,
inference(ssi,[status(thm)],[20,6]),
[iquote('0:SSi:20.0,6.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN009-4 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % 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 : Tue Jul 12 08:45:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.41
% 0.18/0.41 SPASS V 3.9
% 0.18/0.41 SPASS beiseite: Proof found.
% 0.18/0.41 % SZS status Theorem
% 0.18/0.41 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.41 SPASS derived 5 clauses, backtracked 0 clauses, performed 0 splits and kept 14 clauses.
% 0.18/0.41 SPASS allocated 75599 KBytes.
% 0.18/0.41 SPASS spent 0:00:00.06 on the problem.
% 0.18/0.41 0:00:00.04 for the input.
% 0.18/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.41 0:00:00.00 for inferences.
% 0.18/0.41 0:00:00.00 for the backtracking.
% 0.18/0.41 0:00:00.00 for the reduction.
% 0.18/0.41
% 0.18/0.41
% 0.18/0.41 Here is a proof with depth 3, length 16 :
% 0.18/0.41 % SZS output start Refutation
% See solution above
% 0.18/0.41 Formulae used in the proof : clause_1 clause_2 clause_3 clause_6 clause_7 clause_8 clause_9
% 0.18/0.41
%------------------------------------------------------------------------------