TSTP Solution File: SEU210+2 by SPASS---3.9
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- Process Solution
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% File : SPASS---3.9
% Problem : SEU210+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 14:35:02 EDT 2022
% Result : Theorem 148.91s 149.14s
% Output : Refutation 148.91s
% 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 : SEU210+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 03:04:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 148.91/149.14
% 148.91/149.14 SPASS V 3.9
% 148.91/149.14 SPASS beiseite: Proof found.
% 148.91/149.14 % SZS status Theorem
% 148.91/149.14 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 148.91/149.14 SPASS derived 62630 clauses, backtracked 1199 clauses, performed 6 splits and kept 26475 clauses.
% 148.91/149.14 SPASS allocated 155644 KBytes.
% 148.91/149.14 SPASS spent 0:2:26.12 on the problem.
% 148.91/149.14 0:00:00.04 for the input.
% 148.91/149.14 0:00:02.65 for the FLOTTER CNF translation.
% 148.91/149.14 0:00:01.22 for inferences.
% 148.91/149.14 0:00:02.61 for the backtracking.
% 148.91/149.14 0:2:17.96 for the reduction.
% 148.91/149.14
% 148.91/149.14
% 148.91/149.14 Here is a proof with depth 2, length 24 :
% 148.91/149.14 % SZS output start Refutation
% 148.91/149.14 1[0:Inp] || -> relation(skc6)*.
% 148.91/149.14 15[0:Inp] || equal(empty_set,skc7)** -> .
% 148.91/149.14 16[0:Inp] || -> subset(skc7,relation_rng(skc6))*r.
% 148.91/149.14 26[0:Inp] || -> equal(relation_inverse_image(skc6,skc7),empty_set)**.
% 148.91/149.14 63[0:Inp] || -> equal(u,empty_set) in(skf87(u),u)*.
% 148.91/149.14 79[0:Inp] || in(u,v)* equal(v,empty_set) -> .
% 148.91/149.14 94[0:Inp] || -> disjoint(u,v)* in(skf129(v,w),v)*.
% 148.91/149.14 109[0:Inp] || in(u,v) disjoint(singleton(u),v)* -> .
% 148.91/149.14 159[0:Inp] || in(u,v)* subset(v,w)*+ -> in(u,w)*.
% 148.91/149.14 294[0:Inp] relation(u) || in(v,w)* equal(w,relation_rng(u))*+ -> in(ordered_pair(skf109(u,v),v),u)*.
% 148.91/149.14 323[0:Inp] relation(u) || in(v,w)* equal(x,relation_inverse_image(u,w))*+ in(ordered_pair(y,v),u)* -> in(y,x)*.
% 148.91/149.14 570[0:Res:63.1,15.0] || -> in(skf87(skc7),skc7)*.
% 148.91/149.14 594[0:Res:26.0,79.0] || in(u,relation_inverse_image(skc6,skc7))* -> .
% 148.91/149.14 613[0:Res:26.0,323.2] relation(skc6) || in(u,skc7) in(ordered_pair(v,u),skc6)* -> in(v,empty_set).
% 148.91/149.14 630[0:Res:16.0,159.0] || in(u,skc7) -> in(u,relation_rng(skc6))*.
% 148.91/149.14 641[0:Rew:26.0,594.0] || in(u,empty_set)* -> .
% 148.91/149.14 664[0:MRR:613.0,613.3,1.0,641.0] || in(u,skc7) in(ordered_pair(v,u),skc6)* -> .
% 148.91/149.14 1669[0:Res:94.0,109.1] || in(u,v)*+ -> in(skf129(v,w),v)*.
% 148.91/149.14 2768[0:Res:570.0,1669.0] || -> in(skf129(skc7,u),skc7)*.
% 148.91/149.14 12766[0:EqR:294.2] relation(u) || in(v,relation_rng(u)) -> in(ordered_pair(skf109(u,v),v),u)*.
% 148.91/149.14 74733[0:Res:12766.2,664.1] relation(skc6) || in(u,relation_rng(skc6))* in(u,skc7) -> .
% 148.91/149.14 74921[0:SSi:74733.0,1.0] || in(u,relation_rng(skc6))* in(u,skc7) -> .
% 148.91/149.14 74922[0:MRR:74921.0,630.1] || in(u,skc7)* -> .
% 148.91/149.14 74923[0:UnC:74922.0,2768.0] || -> .
% 148.91/149.14 % SZS output end Refutation
% 148.91/149.14 Formulae used in the proof : t174_relat_1 d1_xboole_0 t3_xboole_0 l25_zfmisc_1 d3_tarski d5_relat_1 d14_relat_1
% 148.91/149.14
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