TSTP Solution File: CAT007-3 by SPASS---3.9
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% File : SPASS---3.9
% Problem : CAT007-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 00:07:29 EDT 2022
% Result : Unsatisfiable 0.14s 0.41s
% Output : Refutation 0.14s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CAT007-3 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun May 29 16:08:21 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.41
% 0.14/0.41 SPASS V 3.9
% 0.14/0.41 SPASS beiseite: Proof found.
% 0.14/0.41 % SZS status Theorem
% 0.14/0.41 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.41 SPASS derived 1 clauses, backtracked 0 clauses, performed 0 splits and kept 12 clauses.
% 0.14/0.41 SPASS allocated 63087 KBytes.
% 0.14/0.41 SPASS spent 0:00:00.06 on the problem.
% 0.14/0.41 0:00:00.04 for the input.
% 0.14/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.14/0.41 0:00:00.00 for inferences.
% 0.14/0.41 0:00:00.00 for the backtracking.
% 0.14/0.41 0:00:00.00 for the reduction.
% 0.14/0.41
% 0.14/0.41
% 0.14/0.41 Here is a proof with depth 1, length 6 :
% 0.14/0.41 % SZS output start Refutation
% 0.14/0.41 5[0:Inp] || there_exists(domain__dfg(u)) equalish(domain__dfg(u),codomain(v)) -> there_exists(compose(u,v))*.
% 0.14/0.41 9[0:Inp] || -> there_exists(domain__dfg(c2))*.
% 0.14/0.41 11[0:Inp] || -> equalish(domain__dfg(c2),codomain(c1))*l.
% 0.14/0.41 12[0:Inp] || there_exists(compose(c2,c1))* -> .
% 0.14/0.41 13[0:Res:5.2,12.0] || there_exists(domain__dfg(c2))* equalish(domain__dfg(c2),codomain(c1)) -> .
% 0.14/0.41 15[0:MRR:13.0,13.1,9.0,11.0] || -> .
% 0.14/0.41 % SZS output end Refutation
% 0.14/0.41 Formulae used in the proof : domain_codomain_composition2 domain_of_c2_exists domain_of_c2_equals_codomain_of_c1 prove_c1_c2_is_defined
% 0.14/0.41
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