%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU041+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n006.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 : Tue Jul 19 14:33:41 EDT 2022
% Result : Theorem 0.18s 0.44s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 13 ( 7 unt; 0 nHn; 13 RR)
% Number of literals : 21 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
relation(skc11),
file('SEU041+1.p',unknown),
[] ).
cnf(23,axiom,
subset(skc13,skc12),
file('SEU041+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ relation(u)
| ~ subset(v,w)
| equal(relation_dom_restriction(relation_dom_restriction(u,v),w),relation_dom_restriction(u,v)) ),
file('SEU041+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ relation(u)
| ~ subset(v,w)
| equal(relation_dom_restriction(relation_dom_restriction(u,w),v),relation_dom_restriction(u,v)) ),
file('SEU041+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ equal(relation_dom_restriction(relation_dom_restriction(skc11,skc13),skc12),relation_dom_restriction(skc11,skc13))
| ~ equal(relation_dom_restriction(relation_dom_restriction(skc11,skc12),skc13),relation_dom_restriction(skc11,skc13)) ),
file('SEU041+1.p',unknown),
[] ).
cnf(62,plain,
( ~ relation(u)
| equal(relation_dom_restriction(relation_dom_restriction(u,skc13),skc12),relation_dom_restriction(u,skc13)) ),
inference(res,[status(thm),theory(equality)],[23,51]),
[iquote('0:Res:23.0,51.1')] ).
cnf(63,plain,
( ~ relation(u)
| equal(relation_dom_restriction(relation_dom_restriction(u,skc12),skc13),relation_dom_restriction(u,skc13)) ),
inference(res,[status(thm),theory(equality)],[23,52]),
[iquote('0:Res:23.0,52.1')] ).
cnf(65,plain,
equal(relation_dom_restriction(relation_dom_restriction(skc11,skc12),skc13),relation_dom_restriction(skc11,skc13)),
inference(res,[status(thm),theory(equality)],[1,63]),
[iquote('0:Res:1.0,63.0')] ).
cnf(66,plain,
equal(relation_dom_restriction(relation_dom_restriction(skc11,skc13),skc12),relation_dom_restriction(skc11,skc13)),
inference(res,[status(thm),theory(equality)],[1,62]),
[iquote('0:Res:1.0,62.0')] ).
cnf(69,plain,
( ~ equal(relation_dom_restriction(relation_dom_restriction(skc11,skc13),skc12),relation_dom_restriction(skc11,skc13))
| ~ equal(relation_dom_restriction(skc11,skc13),relation_dom_restriction(skc11,skc13)) ),
inference(rew,[status(thm),theory(equality)],[65,53]),
[iquote('0:Rew:65.0,53.1')] ).
cnf(70,plain,
~ equal(relation_dom_restriction(relation_dom_restriction(skc11,skc13),skc12),relation_dom_restriction(skc11,skc13)),
inference(obv,[status(thm),theory(equality)],[69]),
[iquote('0:Obv:69.1')] ).
cnf(71,plain,
~ equal(relation_dom_restriction(skc11,skc13),relation_dom_restriction(skc11,skc13)),
inference(rew,[status(thm),theory(equality)],[66,70]),
[iquote('0:Rew:66.0,70.0')] ).
cnf(72,plain,
$false,
inference(obv,[status(thm),theory(equality)],[71]),
[iquote('0:Obv:71.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU041+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n006.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 : Mon Jun 20 11:05:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44
% 0.18/0.44 SPASS V 3.9
% 0.18/0.44 SPASS beiseite: Proof found.
% 0.18/0.44 % SZS status Theorem
% 0.18/0.44 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 SPASS derived 14 clauses, backtracked 0 clauses, performed 0 splits and kept 59 clauses.
% 0.18/0.44 SPASS allocated 97702 KBytes.
% 0.18/0.44 SPASS spent 0:00:00.09 on the problem.
% 0.18/0.44 0:00:00.04 for the input.
% 0.18/0.44 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.44 0:00:00.00 for inferences.
% 0.18/0.44 0:00:00.00 for the backtracking.
% 0.18/0.44 0:00:00.00 for the reduction.
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 Here is a proof with depth 2, length 13 :
% 0.18/0.44 % SZS output start Refutation
% See solution above
% 0.18/0.44 Formulae used in the proof : t82_funct_1 t102_relat_1 t103_relat_1
% 0.18/0.44
%------------------------------------------------------------------------------