TSTP Solution File: SEU263+1 by SPASS---3.9
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- Process Solution
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% File : SPASS---3.9
% Problem : SEU263+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 14:35:39 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU263+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.14 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 19 20:38:33 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50
% 0.20/0.50 SPASS V 3.9
% 0.20/0.50 SPASS beiseite: Proof found.
% 0.20/0.50 % SZS status Theorem
% 0.20/0.50 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50 SPASS derived 285 clauses, backtracked 0 clauses, performed 0 splits and kept 206 clauses.
% 0.20/0.50 SPASS allocated 97988 KBytes.
% 0.20/0.50 SPASS spent 0:00:00.13 on the problem.
% 0.20/0.50 0:00:00.03 for the input.
% 0.20/0.50 0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.50 0:00:00.01 for inferences.
% 0.20/0.50 0:00:00.00 for the backtracking.
% 0.20/0.50 0:00:00.03 for the reduction.
% 0.20/0.50
% 0.20/0.50
% 0.20/0.50 Here is a proof with depth 3, length 21 :
% 0.20/0.50 % SZS output start Refutation
% 0.20/0.50 2[0:Inp] || -> subset(relation_rng(skc5),skc6)*l.
% 0.20/0.50 3[0:Inp] || -> relation_of2_as_subset(skc5,skc4,skc7)*.
% 0.20/0.50 5[0:Inp] || relation_of2_as_subset(skc5,skc4,skc6)* -> .
% 0.20/0.50 10[0:Inp] || element(u,powerset(cartesian_product2(v,w)))* -> relation(u).
% 0.20/0.50 12[0:Inp] || relation_of2(u,v,w) -> relation_of2_as_subset(u,v,w)*.
% 0.20/0.50 13[0:Inp] || relation_of2_as_subset(u,v,w)* -> subset(relation_dom(u),v).
% 0.20/0.50 16[0:Inp] || subset(u,cartesian_product2(v,w)) -> relation_of2(u,v,w)*.
% 0.20/0.50 17[0:Inp] relation(u) || -> subset(u,cartesian_product2(relation_dom(u),relation_rng(u)))*r.
% 0.20/0.50 18[0:Inp] || relation_of2_as_subset(u,v,w) -> element(u,powerset(cartesian_product2(v,w)))*.
% 0.20/0.50 19[0:Inp] || subset(u,v)* subset(v,w)* -> subset(u,w)*.
% 0.20/0.50 20[0:Inp] || subset(u,v) subset(w,x) -> subset(cartesian_product2(w,u),cartesian_product2(x,v))*.
% 0.20/0.50 21[0:Res:3.0,13.0] || -> subset(relation_dom(skc5),skc4)*l.
% 0.20/0.50 23[0:Res:3.0,18.0] || -> element(skc5,powerset(cartesian_product2(skc4,skc7)))*.
% 0.20/0.50 25[0:Res:12.1,5.0] || relation_of2(skc5,skc4,skc6)* -> .
% 0.20/0.50 31[0:Res:23.0,10.0] || -> relation(skc5)*.
% 0.20/0.50 96[0:Res:16.1,25.0] || subset(skc5,cartesian_product2(skc4,skc6))*r -> .
% 0.20/0.50 108[0:OCh:19.1,19.0,20.2,17.1] relation(u) || subset(relation_rng(u),v)*+ subset(relation_dom(u),w)* -> subset(u,cartesian_product2(w,v))*.
% 0.20/0.50 157[0:Res:2.0,108.1] relation(skc5) || subset(relation_dom(skc5),u) -> subset(skc5,cartesian_product2(u,skc6))*r.
% 0.20/0.50 171[0:SSi:157.0,31.0] || subset(relation_dom(skc5),u) -> subset(skc5,cartesian_product2(u,skc6))*r.
% 0.20/0.50 306[0:Res:171.1,96.0] || subset(relation_dom(skc5),skc4)*l -> .
% 0.20/0.50 317[0:MRR:306.0,21.0] || -> .
% 0.20/0.50 % SZS output end Refutation
% 0.20/0.50 Formulae used in the proof : t14_relset_1 cc1_relset_1 redefinition_m2_relset_1 t12_relset_1 d1_relset_1 t21_relat_1 dt_m2_relset_1 t1_xboole_1 t119_zfmisc_1
% 0.20/0.50
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