TSTP Solution File: SYN187-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN187-1 : TPTP v8.1.0. Released v1.1.0.
% 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 12:19:18 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 11 RR)
% Number of literals : 19 ( 0 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 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,
~ r1(d),
file('SYN187-1.p',unknown),
[] ).
cnf(2,axiom,
s0(d),
file('SYN187-1.p',unknown),
[] ).
cnf(18,axiom,
q0(u,d),
file('SYN187-1.p',unknown),
[] ).
cnf(29,axiom,
k0(e),
file('SYN187-1.p',unknown),
[] ).
cnf(156,axiom,
( ~ k0(e)
| ~ s0(d)
| q1(d,d,d) ),
file('SYN187-1.p',unknown),
[] ).
cnf(163,axiom,
( ~ q0(u,v)
| ~ s0(d)
| ~ q1(d,v,d)
| r1(u) ),
file('SYN187-1.p',unknown),
[] ).
cnf(380,plain,
q1(d,d,d),
inference(mrr,[status(thm)],[156,29,2]),
[iquote('0:MRR:156.0,156.1,29.0,2.0')] ).
cnf(401,plain,
( ~ q0(u,v)
| ~ q1(d,v,d)
| r1(u) ),
inference(mrr,[status(thm)],[163,2]),
[iquote('0:MRR:163.1,2.0')] ).
cnf(419,plain,
( ~ q0(d,u)
| ~ q1(d,u,d) ),
inference(res,[status(thm),theory(equality)],[401,1]),
[iquote('0:Res:401.2,1.0')] ).
cnf(585,plain,
~ q0(d,d),
inference(res,[status(thm),theory(equality)],[380,419]),
[iquote('0:Res:380.0,419.1')] ).
cnf(589,plain,
$false,
inference(mrr,[status(thm)],[585,18]),
[iquote('0:MRR:585.0,18.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYN187-1 : TPTP v8.1.0. Released v1.1.0.
% 0.08/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 11:15:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49
% 0.19/0.49 SPASS V 3.9
% 0.19/0.49 SPASS beiseite: Proof found.
% 0.19/0.49 % SZS status Theorem
% 0.19/0.49 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49 SPASS derived 136 clauses, backtracked 0 clauses, performed 0 splits and kept 417 clauses.
% 0.19/0.49 SPASS allocated 76157 KBytes.
% 0.19/0.49 SPASS spent 0:00:00.13 on the problem.
% 0.19/0.49 0:00:00.04 for the input.
% 0.19/0.49 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.49 0:00:00.00 for inferences.
% 0.19/0.49 0:00:00.00 for the backtracking.
% 0.19/0.49 0:00:00.04 for the reduction.
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 Here is a proof with depth 2, length 11 :
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 Formulae used in the proof : prove_this axiom_1 axiom_17 axiom_28 rule_117 rule_124
% 0.19/0.49
%------------------------------------------------------------------------------