%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : KRS088+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 : Sun Jul 17 03:30:31 EDT 2022
% Result : Unsatisfiable 0.19s 0.44s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 16 ( 5 unt; 0 nHn; 16 RR)
% Number of literals : 33 ( 0 equ; 20 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 : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
cUnsatisfiable(i2003_11_14_17_19_49673),
file('KRS088+1.p',unknown),
[] ).
cnf(4,axiom,
cp1(skf4(u)),
file('KRS088+1.p',unknown),
[] ).
cnf(6,axiom,
~ cp1(skf5(u)),
file('KRS088+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ cUnsatisfiable(u)
| rf(u,skf4(u)) ),
file('KRS088+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ rf(u,v)
| rinvF(v,u) ),
file('KRS088+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ rf(u,v)
| ~ rf(u,w)
| equal(w,v) ),
file('KRS088+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ cUnsatisfiable(u)
| ~ rinvF(skf4(u),v)
| rf(v,skf5(v)) ),
file('KRS088+1.p',unknown),
[] ).
cnf(21,plain,
( ~ cUnsatisfiable(u)
| ~ rf(u,v)
| equal(v,skf4(u)) ),
inference(res,[status(thm),theory(equality)],[8,13]),
[iquote('0:Res:8.1,13.0')] ).
cnf(24,plain,
( ~ cUnsatisfiable(u)
| ~ rf(v,skf4(u))
| rf(v,skf5(v)) ),
inference(res,[status(thm),theory(equality)],[10,15]),
[iquote('0:Res:10.1,15.1')] ).
cnf(25,plain,
( ~ cUnsatisfiable(u)
| ~ cUnsatisfiable(u)
| rf(u,skf5(u)) ),
inference(res,[status(thm),theory(equality)],[8,24]),
[iquote('0:Res:8.1,24.1')] ).
cnf(26,plain,
( ~ cUnsatisfiable(u)
| rf(u,skf5(u)) ),
inference(obv,[status(thm),theory(equality)],[25]),
[iquote('0:Obv:25.0')] ).
cnf(28,plain,
( ~ cUnsatisfiable(u)
| ~ cUnsatisfiable(u)
| equal(skf5(u),skf4(u)) ),
inference(res,[status(thm),theory(equality)],[26,21]),
[iquote('0:Res:26.1,21.1')] ).
cnf(30,plain,
( ~ cUnsatisfiable(u)
| equal(skf5(u),skf4(u)) ),
inference(obv,[status(thm),theory(equality)],[28]),
[iquote('0:Obv:28.0')] ).
cnf(34,plain,
( ~ cUnsatisfiable(u)
| ~ cp1(skf4(u)) ),
inference(spl,[status(thm),theory(equality)],[30,6]),
[iquote('0:SpL:30.1,6.0')] ).
cnf(35,plain,
~ cUnsatisfiable(u),
inference(mrr,[status(thm)],[34,4]),
[iquote('0:MRR:34.1,4.0')] ).
cnf(36,plain,
$false,
inference(unc,[status(thm)],[35,2]),
[iquote('0:UnC:35.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KRS088+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n023.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 Jun 7 19:59:38 EDT 2022
% 0.12/0.33 % 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/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 SPASS derived 14 clauses, backtracked 0 clauses, performed 1 splits and kept 22 clauses.
% 0.19/0.44 SPASS allocated 97860 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 4, length 16 :
% 0.19/0.44 % SZS output start Refutation
% See solution above
% 0.19/0.44 Formulae used in the proof : axiom_7 axiom_2 axiom_4 axiom_3
% 0.19/0.44
%------------------------------------------------------------------------------