TSTP Solution File: SET063-7 by SPASS---3.9
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% File : SPASS---3.9
% Problem : SET063-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : Tue Jul 19 05:23:24 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET063-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n024.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 Jul 10 19:18:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.41
% 0.19/0.41 SPASS V 3.9
% 0.19/0.41 SPASS beiseite: Proof found.
% 0.19/0.41 % SZS status Theorem
% 0.19/0.41 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41 SPASS derived 18 clauses, backtracked 0 clauses, performed 0 splits and kept 106 clauses.
% 0.19/0.41 SPASS allocated 75757 KBytes.
% 0.19/0.41 SPASS spent 0:00:00.07 on the problem.
% 0.19/0.41 0:00:00.04 for the input.
% 0.19/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.41 0:00:00.00 for inferences.
% 0.19/0.41 0:00:00.00 for the backtracking.
% 0.19/0.41 0:00:00.01 for the reduction.
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 Here is a proof with depth 1, length 9 :
% 0.19/0.41 % SZS output start Refutation
% 0.19/0.41 12[0:Inp] || member(u,null_class)* -> .
% 0.19/0.41 14[0:Inp] || -> subclass(x__dfg,null_class)*l.
% 0.19/0.41 15[0:Inp] || equal(x__dfg,null_class)** -> .
% 0.19/0.41 16[0:Inp] || member(u,v)* subclass(v,w)* -> member(u,w)*.
% 0.19/0.41 81[0:Inp] || -> equal(u,null_class) member(regular(u),u)*.
% 0.19/0.41 111[0:Res:81.0,15.0] || -> member(regular(x__dfg),x__dfg)*.
% 0.19/0.41 125[0:Res:14.0,16.0] || member(u,x__dfg)* -> member(u,null_class).
% 0.19/0.41 127[0:MRR:125.1,12.0] || member(u,x__dfg)* -> .
% 0.19/0.41 128[0:UnC:127.0,111.0] || -> .
% 0.19/0.41 % SZS output end Refutation
% 0.19/0.41 Formulae used in the proof : existence_of_null_class prove_corollary_of_null_class_is_subclass_1 prove_corollary_of_null_class_is_subclass_2 subclass_members regularity1
% 0.19/0.41
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