%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PUZ128+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 : Mon Jul 18 18:27:32 EDT 2022
% Result : Theorem 0.19s 0.44s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 18 ( 0 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
patricide(oedipus),
file('PUZ128+1.p',unknown),
[] ).
cnf(2,axiom,
parent_of(iokaste,oedipus),
file('PUZ128+1.p',unknown),
[] ).
cnf(3,axiom,
parent_of(iokaste,polyneikes),
file('PUZ128+1.p',unknown),
[] ).
cnf(4,axiom,
parent_of(oedipus,polyneikes),
file('PUZ128+1.p',unknown),
[] ).
cnf(5,axiom,
parent_of(polyneikes,thersandros),
file('PUZ128+1.p',unknown),
[] ).
cnf(6,axiom,
~ patricide(thersandros),
file('PUZ128+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ patricide(u)
| ~ parent_of(u,v)
| ~ parent_of(iokaste,u)
| patricide(v) ),
file('PUZ128+1.p',unknown),
[] ).
cnf(11,plain,
( ~ patricide(polyneikes)
| ~ parent_of(iokaste,polyneikes)
| patricide(thersandros) ),
inference(res,[status(thm),theory(equality)],[5,7]),
[iquote('0:Res:5.0,7.2')] ).
cnf(12,plain,
( ~ patricide(oedipus)
| ~ parent_of(iokaste,oedipus)
| patricide(polyneikes) ),
inference(res,[status(thm),theory(equality)],[4,7]),
[iquote('0:Res:4.0,7.2')] ).
cnf(17,plain,
~ patricide(polyneikes),
inference(mrr,[status(thm)],[11,3,6]),
[iquote('0:MRR:11.1,11.2,3.0,6.0')] ).
cnf(18,plain,
$false,
inference(mrr,[status(thm)],[12,1,2,17]),
[iquote('0:MRR:12.0,12.1,12.2,1.0,2.0,17.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : PUZ128+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun May 29 00:04:10 EDT 2022
% 0.13/0.34 % 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/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 SPASS derived 8 clauses, backtracked 0 clauses, performed 0 splits and kept 11 clauses.
% 0.19/0.44 SPASS allocated 97592 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 1, length 11 :
% 0.19/0.44 % SZS output start Refutation
% See solution above
% 0.19/0.44 Formulae used in the proof : oedipus_patricidal iokaste_oedipus iokaste_polyneikes oedipus_polyneikes polyneikes_thersandros thersandros_not_patricidal iokaste_parent_particide_parent_not_patricide
% 0.19/0.44
%------------------------------------------------------------------------------