TSTP Solution File: SEU019+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU019+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 14:33:34 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of clauses : 26 ( 6 unt; 13 nHn; 26 RR)
% Number of literals : 75 ( 0 equ; 37 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(16,axiom,
relation(identity_relation(u)),
file('SEU019+1.p',unknown),
[] ).
cnf(17,axiom,
function(identity_relation(u)),
file('SEU019+1.p',unknown),
[] ).
cnf(22,axiom,
~ one_to_one(identity_relation(skc7)),
file('SEU019+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ function(u)
| ~ relation(u)
| one_to_one(u)
| in(skf7(u),relation_dom(u)) ),
file('SEU019+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ function(u)
| ~ relation(u)
| one_to_one(u)
| in(skf6(u),relation_dom(u)) ),
file('SEU019+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ function(u)
| ~ relation(u)
| ~ equal(skf7(u),skf6(u))
| one_to_one(u) ),
file('SEU019+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ relation(u)
| ~ function(u)
| ~ equal(u,identity_relation(v))
| equal(relation_dom(u),v) ),
file('SEU019+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ function(u)
| ~ relation(u)
| one_to_one(u)
| equal(apply(u,skf7(u)),apply(u,skf6(u))) ),
file('SEU019+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ relation(u)
| ~ function(u)
| ~ in(v,w)
| ~ equal(u,identity_relation(w))
| equal(apply(u,v),v) ),
file('SEU019+1.p',unknown),
[] ).
cnf(179,plain,
( ~ relation(identity_relation(u))
| ~ function(identity_relation(u))
| equal(relation_dom(identity_relation(u)),u) ),
inference(eqr,[status(thm),theory(equality)],[46]),
[iquote('0:EqR:46.2')] ).
cnf(180,plain,
equal(relation_dom(identity_relation(u)),u),
inference(ssi,[status(thm)],[179,17,16]),
[iquote('0:SSi:179.1,179.0,17.0,16.0,17.0,16.0')] ).
cnf(182,plain,
( ~ function(identity_relation(u))
| ~ relation(identity_relation(u))
| one_to_one(identity_relation(u))
| in(skf6(identity_relation(u)),u) ),
inference(spr,[status(thm),theory(equality)],[180,44]),
[iquote('0:SpR:180.0,44.3')] ).
cnf(183,plain,
( ~ function(identity_relation(u))
| ~ relation(identity_relation(u))
| one_to_one(identity_relation(u))
| in(skf7(identity_relation(u)),u) ),
inference(spr,[status(thm),theory(equality)],[180,43]),
[iquote('0:SpR:180.0,43.3')] ).
cnf(187,plain,
( one_to_one(identity_relation(u))
| in(skf6(identity_relation(u)),u) ),
inference(ssi,[status(thm)],[182,17,16]),
[iquote('0:SSi:182.1,182.0,17.0,16.0,17.0,16.0')] ).
cnf(188,plain,
( one_to_one(identity_relation(u))
| in(skf7(identity_relation(u)),u) ),
inference(ssi,[status(thm)],[183,17,16]),
[iquote('0:SSi:183.1,183.0,17.0,16.0,17.0,16.0')] ).
cnf(232,plain,
( ~ relation(identity_relation(u))
| ~ function(identity_relation(u))
| ~ in(v,u)
| equal(apply(identity_relation(u),v),v) ),
inference(eqr,[status(thm),theory(equality)],[49]),
[iquote('0:EqR:49.3')] ).
cnf(234,plain,
( ~ in(u,v)
| equal(apply(identity_relation(v),u),u) ),
inference(ssi,[status(thm)],[232,17,16]),
[iquote('0:SSi:232.1,232.0,17.0,16.0,17.0,16.0')] ).
cnf(271,plain,
( ~ function(identity_relation(u))
| ~ relation(identity_relation(u))
| ~ in(skf7(identity_relation(u)),u)
| one_to_one(identity_relation(u))
| equal(apply(identity_relation(u),skf6(identity_relation(u))),skf7(identity_relation(u))) ),
inference(spr,[status(thm),theory(equality)],[234,47]),
[iquote('0:SpR:234.1,47.3')] ).
cnf(277,plain,
( ~ in(skf7(identity_relation(u)),u)
| one_to_one(identity_relation(u))
| equal(apply(identity_relation(u),skf6(identity_relation(u))),skf7(identity_relation(u))) ),
inference(ssi,[status(thm)],[271,17,16]),
[iquote('0:SSi:271.1,271.0,17.0,16.0,17.0,16.0')] ).
cnf(278,plain,
( one_to_one(identity_relation(u))
| equal(apply(identity_relation(u),skf6(identity_relation(u))),skf7(identity_relation(u))) ),
inference(mrr,[status(thm)],[277,188]),
[iquote('0:MRR:277.0,188.1')] ).
cnf(539,plain,
( ~ in(skf6(identity_relation(u)),u)
| one_to_one(identity_relation(u))
| equal(skf7(identity_relation(u)),skf6(identity_relation(u))) ),
inference(spr,[status(thm),theory(equality)],[278,234]),
[iquote('0:SpR:278.1,234.1')] ).
cnf(551,plain,
( one_to_one(identity_relation(u))
| equal(skf7(identity_relation(u)),skf6(identity_relation(u))) ),
inference(mrr,[status(thm)],[539,187]),
[iquote('0:MRR:539.0,187.1')] ).
cnf(570,plain,
( ~ function(identity_relation(u))
| ~ relation(identity_relation(u))
| ~ equal(skf6(identity_relation(u)),skf6(identity_relation(u)))
| one_to_one(identity_relation(u))
| one_to_one(identity_relation(u)) ),
inference(spl,[status(thm),theory(equality)],[551,45]),
[iquote('0:SpL:551.1,45.2')] ).
cnf(576,plain,
( ~ function(identity_relation(u))
| ~ relation(identity_relation(u))
| one_to_one(identity_relation(u)) ),
inference(obv,[status(thm),theory(equality)],[570]),
[iquote('0:Obv:570.3')] ).
cnf(577,plain,
one_to_one(identity_relation(u)),
inference(ssi,[status(thm)],[576,17,16]),
[iquote('0:SSi:576.1,576.0,17.0,16.0,17.0,16.0')] ).
cnf(578,plain,
$false,
inference(unc,[status(thm)],[577,22]),
[iquote('0:UnC:577.0,22.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU019+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n026.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 : Sun Jun 19 14:31:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.47
% 0.19/0.47 SPASS V 3.9
% 0.19/0.47 SPASS beiseite: Proof found.
% 0.19/0.47 % SZS status Theorem
% 0.19/0.47 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 SPASS derived 425 clauses, backtracked 0 clauses, performed 0 splits and kept 231 clauses.
% 0.19/0.47 SPASS allocated 98034 KBytes.
% 0.19/0.47 SPASS spent 0:00:00.13 on the problem.
% 0.19/0.47 0:00:00.03 for the input.
% 0.19/0.47 0:00:00.04 for the FLOTTER CNF translation.
% 0.19/0.47 0:00:00.01 for inferences.
% 0.19/0.47 0:00:00.00 for the backtracking.
% 0.19/0.47 0:00:00.02 for the reduction.
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 Here is a proof with depth 4, length 26 :
% 0.19/0.47 % SZS output start Refutation
% See solution above
% 0.19/0.47 Formulae used in the proof : fc2_funct_1 t52_funct_1 d8_funct_1 t34_funct_1
% 0.19/0.47
%------------------------------------------------------------------------------