TSTP Solution File: SEU046+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU046+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 11.86s 12.03s
% Output : Refutation 11.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 6 unt; 2 nHn; 17 RR)
% Number of literals : 43 ( 0 equ; 28 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
function(skc11),
file('SEU046+1.p',unknown),
[] ).
cnf(2,axiom,
relation(skc11),
file('SEU046+1.p',unknown),
[] ).
cnf(33,axiom,
~ in(skf6(u,v),u),
file('SEU046+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ relation(u)
| relation(relation_rng_restriction(v,u)) ),
file('SEU046+1.p',unknown),
[] ).
cnf(44,axiom,
( subset(u,v)
| in(skf6(v,u),u) ),
file('SEU046+1.p',unknown),
[] ).
cnf(52,axiom,
( ~ relation(u)
| ~ function(u)
| function(relation_rng_restriction(v,u)) ),
file('SEU046+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ relation(u)
| subset(relation_rng(relation_rng_restriction(v,u)),relation_rng(u)) ),
file('SEU046+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ subset(relation_dom(relation_rng_restriction(skc12,skc11)),relation_dom(skc11))
| ~ subset(relation_rng(relation_rng_restriction(skc13,skc11)),relation_rng(skc11)) ),
file('SEU046+1.p',unknown),
[] ).
cnf(59,axiom,
( ~ relation(u)
| ~ function(u)
| ~ relation(v)
| ~ function(v)
| ~ in(w,relation_dom(u))
| ~ equal(u,relation_rng_restriction(x,v))
| in(w,relation_dom(v)) ),
file('SEU046+1.p',unknown),
[] ).
cnf(81,plain,
subset(relation_rng(relation_rng_restriction(u,skc11)),relation_rng(skc11)),
inference(res,[status(thm),theory(equality)],[2,53]),
[iquote('0:Res:2.0,53.0')] ).
cnf(117,plain,
~ subset(relation_dom(relation_rng_restriction(skc12,skc11)),relation_dom(skc11)),
inference(mrr,[status(thm)],[58,81]),
[iquote('0:MRR:58.1,81.0')] ).
cnf(330,plain,
( ~ relation(relation_rng_restriction(u,v))
| ~ function(relation_rng_restriction(u,v))
| ~ relation(v)
| ~ function(v)
| ~ in(w,relation_dom(relation_rng_restriction(u,v)))
| in(w,relation_dom(v)) ),
inference(eqr,[status(thm),theory(equality)],[59]),
[iquote('0:EqR:59.5')] ).
cnf(331,plain,
( ~ relation(u)
| ~ function(u)
| ~ in(v,relation_dom(relation_rng_restriction(w,u)))
| in(v,relation_dom(u)) ),
inference(ssi,[status(thm)],[330,40,52]),
[iquote('0:SSi:330.1,330.0,40.2,52.1,40.2,52.1')] ).
cnf(910,plain,
( ~ relation(u)
| ~ function(u)
| subset(relation_dom(relation_rng_restriction(v,u)),w)
| in(skf6(w,relation_dom(relation_rng_restriction(v,u))),relation_dom(u)) ),
inference(res,[status(thm),theory(equality)],[44,331]),
[iquote('0:Res:44.1,331.2')] ).
cnf(6018,plain,
( ~ relation(u)
| ~ function(u)
| subset(relation_dom(relation_rng_restriction(v,u)),relation_dom(u)) ),
inference(res,[status(thm),theory(equality)],[910,33]),
[iquote('0:Res:910.3,33.0')] ).
cnf(15383,plain,
( ~ relation(skc11)
| ~ function(skc11) ),
inference(res,[status(thm),theory(equality)],[6018,117]),
[iquote('0:Res:6018.2,117.0')] ).
cnf(15407,plain,
$false,
inference(ssi,[status(thm)],[15383,1,2]),
[iquote('0:SSi:15383.1,15383.0,1.0,2.0,1.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU046+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n022.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 12:27:31 EDT 2022
% 0.12/0.33 % CPUTime :
% 11.86/12.03
% 11.86/12.03 SPASS V 3.9
% 11.86/12.03 SPASS beiseite: Proof found.
% 11.86/12.03 % SZS status Theorem
% 11.86/12.03 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.86/12.03 SPASS derived 12408 clauses, backtracked 233 clauses, performed 9 splits and kept 5507 clauses.
% 11.86/12.03 SPASS allocated 113178 KBytes.
% 11.86/12.03 SPASS spent 0:0:11.34 on the problem.
% 11.86/12.03 0:00:00.03 for the input.
% 11.86/12.03 0:00:00.06 for the FLOTTER CNF translation.
% 11.86/12.03 0:00:00.18 for inferences.
% 11.86/12.03 0:00:00.25 for the backtracking.
% 11.86/12.03 0:0:10.72 for the reduction.
% 11.86/12.03
% 11.86/12.03
% 11.86/12.03 Here is a proof with depth 4, length 17 :
% 11.86/12.03 % SZS output start Refutation
% See solution above
% 11.86/12.03 Formulae used in the proof : t89_funct_1 d3_tarski antisymmetry_r2_hidden dt_k8_relat_1 fc5_funct_1 t118_relat_1 t85_funct_1
% 11.86/12.03
%------------------------------------------------------------------------------