%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN009-3 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n007.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 0.19s 0.41s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 17 ( 8 unt; 5 nHn; 17 RR)
% Number of literals : 35 ( 0 equ; 19 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 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,
( ~ t(u,v,w)
| ~ p(u,v,w) ),
file('SYN009-3.p',unknown),
[] ).
cnf(2,axiom,
( ~ t(u,v,w)
| ~ q(u,v,w) ),
file('SYN009-3.p',unknown),
[] ).
cnf(3,axiom,
( ~ t(u,v,w)
| ~ r(u,v,w) ),
file('SYN009-3.p',unknown),
[] ).
cnf(6,axiom,
s(c),
file('SYN009-3.p',unknown),
[] ).
cnf(7,axiom,
~ v__dfg(u,v,w),
file('SYN009-3.p',unknown),
[] ).
cnf(8,axiom,
u__dfg(c,c,c),
file('SYN009-3.p',unknown),
[] ).
cnf(9,axiom,
( ~ s(u)
| ~ s(v)
| ~ s(w)
| r(w,v,u)
| q(w,v,u)
| p(w,v,u) ),
file('SYN009-3.p',unknown),
[] ).
cnf(10,axiom,
( ~ u__dfg(u,v,w)
| t(u,v,w)
| v__dfg(u,v,w) ),
file('SYN009-3.p',unknown),
[] ).
cnf(11,plain,
( ~ u__dfg(u,v,w)
| t(u,v,w) ),
inference(mrr,[status(thm)],[10,7]),
[iquote('0:MRR:10.2,7.0')] ).
cnf(15,plain,
t(c,c,c),
inference(res,[status(thm),theory(equality)],[8,11]),
[iquote('0:Res:8.0,11.0')] ).
cnf(16,plain,
~ r(c,c,c),
inference(res,[status(thm),theory(equality)],[15,3]),
[iquote('0:Res:15.0,3.0')] ).
cnf(17,plain,
~ q(c,c,c),
inference(res,[status(thm),theory(equality)],[15,2]),
[iquote('0:Res:15.0,2.0')] ).
cnf(18,plain,
~ p(c,c,c),
inference(res,[status(thm),theory(equality)],[15,1]),
[iquote('0:Res:15.0,1.0')] ).
cnf(19,plain,
( ~ s(c)
| ~ s(c)
| ~ s(c)
| r(c,c,c)
| q(c,c,c) ),
inference(res,[status(thm),theory(equality)],[9,18]),
[iquote('0:Res:9.5,18.0')] ).
cnf(20,plain,
( ~ s(c)
| r(c,c,c)
| q(c,c,c) ),
inference(obv,[status(thm),theory(equality)],[19]),
[iquote('0:Obv:19.1')] ).
cnf(21,plain,
( r(c,c,c)
| q(c,c,c) ),
inference(ssi,[status(thm)],[20,6]),
[iquote('0:SSi:20.0,6.0')] ).
cnf(22,plain,
$false,
inference(mrr,[status(thm)],[21,16,17]),
[iquote('0:MRR:21.0,21.1,16.0,17.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN009-3 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n007.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
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 19:57:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.41
% 0.19/0.41 SPASS V 3.9
% 0.19/0.41 SPASS beiseite: Proof found.
% 0.19/0.41 % SZS status Theorem
% 0.19/0.41 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 SPASS derived 5 clauses, backtracked 0 clauses, performed 0 splits and kept 15 clauses.
% 0.19/0.41 SPASS allocated 75594 KBytes.
% 0.19/0.41 SPASS spent 0:00:00.06 on the problem.
% 0.19/0.41 0:00:00.04 for the input.
% 0.19/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.41 0:00:00.00 for inferences.
% 0.19/0.41 0:00:00.00 for the backtracking.
% 0.19/0.41 0:00:00.00 for the reduction.
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 Here is a proof with depth 3, length 17 :
% 0.19/0.41 % SZS output start Refutation
% See solution above
% 0.19/0.41 Formulae used in the proof : clause_1 clause_2 clause_3 clause_6 clause_7 clause_8 clause_9 clause_10
% 0.19/0.41
%------------------------------------------------------------------------------