TSTP Solution File: CAT014-2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : CAT014-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 : Fri Jul 15 00:07:31 EDT 2022
% Result : Unsatisfiable 0.15s 0.35s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 5 RR)
% Number of literals : 5 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ equal(codomain(codomain(a)),codomain(a)),
file('CAT014-2.p',unknown),
[] ).
cnf(2,axiom,
equal(codomain(domain__dfg(u)),domain__dfg(u)),
file('CAT014-2.p',unknown),
[] ).
cnf(3,axiom,
equal(domain__dfg(codomain(u)),codomain(u)),
file('CAT014-2.p',unknown),
[] ).
cnf(12,plain,
equal(codomain(codomain(u)),codomain(u)),
inference(spr,[status(thm),theory(equality)],[3,2]),
[iquote('0:SpR:3.0,2.0')] ).
cnf(13,plain,
$false,
inference(unc,[status(thm)],[12,1]),
[iquote('0:UnC:12.0,1.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : CAT014-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.10 % Command : run_spass %d %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Sun May 29 15:30:11 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.15/0.35
% 0.15/0.35 SPASS V 3.9
% 0.15/0.35 SPASS beiseite: Proof found.
% 0.15/0.35 % SZS status Theorem
% 0.15/0.35 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 SPASS derived 4 clauses, backtracked 0 clauses, performed 0 splits and kept 10 clauses.
% 0.15/0.35 SPASS allocated 63089 KBytes.
% 0.15/0.35 SPASS spent 0:00:00.04 on the problem.
% 0.15/0.35 0:00:00.03 for the input.
% 0.15/0.35 0:00:00.00 for the FLOTTER CNF translation.
% 0.15/0.35 0:00:00.00 for inferences.
% 0.15/0.35 0:00:00.00 for the backtracking.
% 0.15/0.35 0:00:00.00 for the reduction.
% 0.15/0.35
% 0.15/0.35
% 0.15/0.35 Here is a proof with depth 1, length 5 :
% 0.15/0.35 % SZS output start Refutation
% See solution above
% 0.15/0.35 Formulae used in the proof : prove_codomain_is_idempotent codomain_of_domain_is_domain domain_of_codomain_is_codomain
% 0.15/0.35
%------------------------------------------------------------------------------