%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN724+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 12:23:56 EDT 2022
% Result : Theorem 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 9 ( 5 unt; 0 nHn; 9 RR)
% Number of literals : 14 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 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,
r(skc3),
file('SYN724+1.p',unknown),
[] ).
cnf(2,axiom,
r(skc2),
file('SYN724+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ r(u)
| s(u) ),
file('SYN724+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ s(skc2)
| ~ r(skc3)
| ~ s(skc3) ),
file('SYN724+1.p',unknown),
[] ).
cnf(5,plain,
( ~ s(skc3)
| ~ s(skc2) ),
inference(mrr,[status(thm)],[4,1]),
[iquote('0:MRR:4.1,1.0')] ).
cnf(9,plain,
( ~ r(skc3)
| ~ s(skc2) ),
inference(res,[status(thm),theory(equality)],[3,5]),
[iquote('0:Res:3.1,5.0')] ).
cnf(10,plain,
~ s(skc2),
inference(ssi,[status(thm)],[9,1]),
[iquote('0:SSi:9.0,1.0')] ).
cnf(11,plain,
~ r(skc2),
inference(res,[status(thm),theory(equality)],[3,10]),
[iquote('0:Res:3.1,10.0')] ).
cnf(12,plain,
$false,
inference(ssi,[status(thm)],[11,2]),
[iquote('0:SSi:11.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN724+1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n015.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 : Tue Jul 12 02:03:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.43
% 0.19/0.43 SPASS V 3.9
% 0.19/0.43 SPASS beiseite: Proof found.
% 0.19/0.43 % SZS status Theorem
% 0.19/0.43 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43 SPASS derived 2 clauses, backtracked 0 clauses, performed 0 splits and kept 6 clauses.
% 0.19/0.43 SPASS allocated 97559 KBytes.
% 0.19/0.43 SPASS spent 0:00:00.08 on the problem.
% 0.19/0.43 0:00:00.04 for the input.
% 0.19/0.43 0:00:00.02 for the FLOTTER CNF translation.
% 0.19/0.43 0:00:00.00 for inferences.
% 0.19/0.43 0:00:00.00 for the backtracking.
% 0.19/0.43 0:00:00.00 for the reduction.
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 Here is a proof with depth 2, length 9 :
% 0.19/0.43 % SZS output start Refutation
% See solution above
% 0.19/0.43 Formulae used in the proof : thm31
% 0.19/0.43
%------------------------------------------------------------------------------