%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN943+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 12:32:13 EDT 2022
% Result : Theorem 0.19s 0.44s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 4 unt; 5 nHn; 13 RR)
% Number of literals : 26 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
p(skc1),
file('SYN943+1.p',unknown),
[] ).
cnf(2,axiom,
e(skc1),
file('SYN943+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ s(skc1,u)
| p(u) ),
file('SYN943+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ c(u)
| ~ p(u) ),
file('SYN943+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ g(u)
| ~ p(u) ),
file('SYN943+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ e(u)
| g(u)
| c(f(u)) ),
file('SYN943+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ e(u)
| g(u)
| s(u,f(u)) ),
file('SYN943+1.p',unknown),
[] ).
cnf(14,plain,
( ~ e(skc1)
| g(skc1)
| p(f(skc1)) ),
inference(res,[status(thm),theory(equality)],[7,3]),
[iquote('0:Res:7.2,3.0')] ).
cnf(15,plain,
( g(skc1)
| p(f(skc1)) ),
inference(ssi,[status(thm)],[14,2,1]),
[iquote('0:SSi:14.0,2.0,1.0')] ).
cnf(16,plain,
( ~ e(skc1)
| g(skc1)
| g(skc1) ),
inference(ems,[status(thm)],[4,6,15]),
[iquote('0:EmS:4.0,4.1,6.2,15.1')] ).
cnf(17,plain,
( ~ e(skc1)
| g(skc1) ),
inference(obv,[status(thm),theory(equality)],[16]),
[iquote('0:Obv:16.1')] ).
cnf(18,plain,
g(skc1),
inference(ssi,[status(thm)],[17,2,1]),
[iquote('0:SSi:17.0,2.0,1.0')] ).
cnf(19,plain,
$false,
inference(ems,[status(thm)],[5,18,1]),
[iquote('0:EmS:5.0,5.1,18.0,1.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN943+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n019.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 11:50:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44
% 0.19/0.44 SPASS V 3.9
% 0.19/0.44 SPASS beiseite: Proof found.
% 0.19/0.44 % SZS status Theorem
% 0.19/0.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 SPASS derived 3 clauses, backtracked 0 clauses, performed 0 splits and kept 9 clauses.
% 0.19/0.44 SPASS allocated 97566 KBytes.
% 0.19/0.44 SPASS spent 0:00:00.09 on the problem.
% 0.19/0.44 0:00:00.04 for the input.
% 0.19/0.44 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.44 0:00:00.00 for inferences.
% 0.19/0.44 0:00:00.00 for the backtracking.
% 0.19/0.44 0:00:00.00 for the reduction.
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 Here is a proof with depth 3, length 13 :
% 0.19/0.44 % SZS output start Refutation
% See solution above
% 0.19/0.44 Formulae used in the proof : prove_this
% 0.19/0.44
%------------------------------------------------------------------------------