TSTP Solution File: SEU047+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU047+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 14:33:43 EDT 2022
% Result : Theorem 0.19s 0.44s
% Output : Refutation 0.19s
% 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('SEU047+1.p',unknown),
[] ).
cnf(23,axiom,
subset(skc13,skc12),
file('SEU047+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ relation(u)
| ~ subset(v,w)
| equal(relation_rng_restriction(w,relation_rng_restriction(v,u)),relation_rng_restriction(v,u)) ),
file('SEU047+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ relation(u)
| ~ subset(v,w)
| equal(relation_rng_restriction(v,relation_rng_restriction(w,u)),relation_rng_restriction(v,u)) ),
file('SEU047+1.p',unknown),
[] ).
cnf(51,axiom,
( ~ equal(relation_rng_restriction(skc12,relation_rng_restriction(skc13,skc11)),relation_rng_restriction(skc13,skc11))
| ~ equal(relation_rng_restriction(skc13,relation_rng_restriction(skc12,skc11)),relation_rng_restriction(skc13,skc11)) ),
file('SEU047+1.p',unknown),
[] ).
cnf(59,plain,
( ~ relation(u)
| equal(relation_rng_restriction(skc12,relation_rng_restriction(skc13,u)),relation_rng_restriction(skc13,u)) ),
inference(res,[status(thm),theory(equality)],[23,49]),
[iquote('0:Res:23.0,49.1')] ).
cnf(60,plain,
( ~ relation(u)
| equal(relation_rng_restriction(skc13,relation_rng_restriction(skc12,u)),relation_rng_restriction(skc13,u)) ),
inference(res,[status(thm),theory(equality)],[23,50]),
[iquote('0:Res:23.0,50.1')] ).
cnf(62,plain,
equal(relation_rng_restriction(skc13,relation_rng_restriction(skc12,skc11)),relation_rng_restriction(skc13,skc11)),
inference(res,[status(thm),theory(equality)],[1,60]),
[iquote('0:Res:1.0,60.0')] ).
cnf(63,plain,
equal(relation_rng_restriction(skc12,relation_rng_restriction(skc13,skc11)),relation_rng_restriction(skc13,skc11)),
inference(res,[status(thm),theory(equality)],[1,59]),
[iquote('0:Res:1.0,59.0')] ).
cnf(66,plain,
( ~ equal(relation_rng_restriction(skc12,relation_rng_restriction(skc13,skc11)),relation_rng_restriction(skc13,skc11))
| ~ equal(relation_rng_restriction(skc13,skc11),relation_rng_restriction(skc13,skc11)) ),
inference(rew,[status(thm),theory(equality)],[62,51]),
[iquote('0:Rew:62.0,51.1')] ).
cnf(67,plain,
~ equal(relation_rng_restriction(skc12,relation_rng_restriction(skc13,skc11)),relation_rng_restriction(skc13,skc11)),
inference(obv,[status(thm),theory(equality)],[66]),
[iquote('0:Obv:66.1')] ).
cnf(68,plain,
~ equal(relation_rng_restriction(skc13,skc11),relation_rng_restriction(skc13,skc11)),
inference(rew,[status(thm),theory(equality)],[63,67]),
[iquote('0:Rew:63.0,67.0')] ).
cnf(69,plain,
$false,
inference(obv,[status(thm),theory(equality)],[68]),
[iquote('0:Obv:68.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU047+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 20 07:06:25 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/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 SPASS derived 13 clauses, backtracked 0 clauses, performed 0 splits and kept 57 clauses.
% 0.19/0.44 SPASS allocated 97705 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 2, length 13 :
% 0.19/0.44 % SZS output start Refutation
% See solution above
% 0.19/0.44 Formulae used in the proof : t97_funct_1 t129_relat_1 t130_relat_1
% 0.19/0.44
%------------------------------------------------------------------------------