%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU020+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 14:33:35 EDT 2022
% Result : Theorem 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 21 ( 10 unt; 0 nHn; 21 RR)
% Number of literals : 56 ( 0 equ; 40 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
relation(skc9),
file('SEU020+1.p',unknown),
[] ).
cnf(2,axiom,
relation(skc8),
file('SEU020+1.p',unknown),
[] ).
cnf(3,axiom,
function(skc8),
file('SEU020+1.p',unknown),
[] ).
cnf(4,axiom,
function(skc9),
file('SEU020+1.p',unknown),
[] ).
cnf(19,axiom,
~ one_to_one(skc8),
file('SEU020+1.p',unknown),
[] ).
cnf(27,axiom,
one_to_one(identity_relation(u)),
file('SEU020+1.p',unknown),
[] ).
cnf(34,axiom,
equal(relation_dom(identity_relation(u)),u),
file('SEU020+1.p',unknown),
[] ).
cnf(42,axiom,
equal(relation_composition(skc8,skc9),identity_relation(relation_dom(skc8))),
file('SEU020+1.p',unknown),
[] ).
cnf(61,axiom,
( ~ function(u)
| ~ relation(u)
| ~ function(v)
| ~ relation(v)
| ~ one_to_one(relation_composition(u,v))
| ~ subset(relation_rng(u),relation_dom(v))
| one_to_one(u) ),
file('SEU020+1.p',unknown),
[] ).
cnf(62,axiom,
( ~ function(u)
| ~ relation(u)
| ~ function(v)
| ~ relation(v)
| ~ equal(relation_dom(relation_composition(u,v)),relation_dom(u))
| subset(relation_rng(u),relation_dom(v)) ),
file('SEU020+1.p',unknown),
[] ).
cnf(81,plain,
( ~ relation(u)
| ~ function(u)
| ~ function(skc8)
| ~ equal(relation_dom(relation_composition(skc8,u)),relation_dom(skc8))
| subset(relation_rng(skc8),relation_dom(u)) ),
inference(res,[status(thm),theory(equality)],[2,62]),
[iquote('0:Res:2.0,62.2')] ).
cnf(82,plain,
( ~ relation(u)
| ~ function(u)
| ~ function(skc8)
| ~ one_to_one(relation_composition(skc8,u))
| ~ subset(relation_rng(skc8),relation_dom(u))
| one_to_one(skc8) ),
inference(res,[status(thm),theory(equality)],[2,61]),
[iquote('0:Res:2.0,61.2')] ).
cnf(112,plain,
( ~ function(u)
| ~ relation(u)
| ~ one_to_one(relation_composition(skc8,u))
| ~ subset(relation_rng(skc8),relation_dom(u)) ),
inference(mrr,[status(thm)],[82,3,19]),
[iquote('0:MRR:82.2,82.5,3.0,19.0')] ).
cnf(113,plain,
( ~ function(u)
| ~ relation(u)
| ~ equal(relation_dom(relation_composition(skc8,u)),relation_dom(skc8))
| subset(relation_rng(skc8),relation_dom(u)) ),
inference(mrr,[status(thm)],[81,3]),
[iquote('0:MRR:81.2,3.0')] ).
cnf(118,plain,
( ~ function(skc9)
| ~ equal(relation_dom(relation_composition(skc8,skc9)),relation_dom(skc8))
| subset(relation_rng(skc8),relation_dom(skc9)) ),
inference(res,[status(thm),theory(equality)],[1,113]),
[iquote('0:Res:1.0,113.0')] ).
cnf(119,plain,
( ~ function(skc9)
| ~ one_to_one(relation_composition(skc8,skc9))
| ~ subset(relation_rng(skc8),relation_dom(skc9)) ),
inference(res,[status(thm),theory(equality)],[1,112]),
[iquote('0:Res:1.0,112.0')] ).
cnf(136,plain,
( ~ function(skc9)
| ~ one_to_one(identity_relation(relation_dom(skc8)))
| ~ subset(relation_rng(skc8),relation_dom(skc9)) ),
inference(rew,[status(thm),theory(equality)],[42,119]),
[iquote('0:Rew:42.0,119.1')] ).
cnf(137,plain,
~ subset(relation_rng(skc8),relation_dom(skc9)),
inference(mrr,[status(thm)],[136,4,27]),
[iquote('0:MRR:136.0,136.1,4.0,27.0')] ).
cnf(140,plain,
( ~ function(skc9)
| ~ equal(relation_dom(skc8),relation_dom(skc8))
| subset(relation_rng(skc8),relation_dom(skc9)) ),
inference(rew,[status(thm),theory(equality)],[34,118,42]),
[iquote('0:Rew:34.0,118.1,42.0,118.1')] ).
cnf(141,plain,
( ~ function(skc9)
| subset(relation_rng(skc8),relation_dom(skc9)) ),
inference(obv,[status(thm),theory(equality)],[140]),
[iquote('0:Obv:140.1')] ).
cnf(142,plain,
$false,
inference(mrr,[status(thm)],[141,4,137]),
[iquote('0:MRR:141.0,141.1,4.0,137.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU020+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n027.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 : Mon Jun 20 11:12:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46
% 0.19/0.46 SPASS V 3.9
% 0.19/0.46 SPASS beiseite: Proof found.
% 0.19/0.46 % SZS status Theorem
% 0.19/0.46 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 SPASS derived 57 clauses, backtracked 0 clauses, performed 0 splits and kept 93 clauses.
% 0.19/0.46 SPASS allocated 97727 KBytes.
% 0.19/0.46 SPASS spent 0:00:00.10 on the problem.
% 0.19/0.46 0:00:00.04 for the input.
% 0.19/0.46 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.46 0:00:00.00 for inferences.
% 0.19/0.46 0:00:00.00 for the backtracking.
% 0.19/0.46 0:00:00.00 for the reduction.
% 0.19/0.46
% 0.19/0.46
% 0.19/0.46 Here is a proof with depth 2, length 21 :
% 0.19/0.46 % SZS output start Refutation
% See solution above
% 0.19/0.46 Formulae used in the proof : t53_funct_1 t52_funct_1 t71_relat_1 t47_funct_1 t27_funct_1
% 0.19/0.46
%------------------------------------------------------------------------------