TSTP Solution File: SEU173+2 by SPASS---3.9
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- Process Solution
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% File : SPASS---3.9
% Problem : SEU173+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n003.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 14:34:42 EDT 2022
% Result : Theorem 9.55s 9.76s
% Output : Refutation 9.55s
% 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 : SEU173+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 23:05:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 9.55/9.76
% 9.55/9.76 SPASS V 3.9
% 9.55/9.76 SPASS beiseite: Proof found.
% 9.55/9.76 % SZS status Theorem
% 9.55/9.76 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.55/9.76 SPASS derived 17964 clauses, backtracked 118 clauses, performed 3 splits and kept 7874 clauses.
% 9.55/9.76 SPASS allocated 112261 KBytes.
% 9.55/9.76 SPASS spent 0:00:09.27 on the problem.
% 9.55/9.76 0:00:00.04 for the input.
% 9.55/9.76 0:00:00.25 for the FLOTTER CNF translation.
% 9.55/9.76 0:00:00.21 for inferences.
% 9.55/9.76 0:00:00.13 for the backtracking.
% 9.55/9.76 0:00:08.47 for the reduction.
% 9.55/9.76
% 9.55/9.76
% 9.55/9.76 Here is a proof with depth 4, length 15 :
% 9.55/9.76 % SZS output start Refutation
% 9.55/9.76 12[0:Inp] || element(skc4,powerset(skc5))* -> .
% 9.55/9.76 32[0:Inp] || in(u,skc4) -> in(u,skc5)*.
% 9.55/9.76 46[0:Inp] empty(u) || in(v,u)* -> .
% 9.55/9.76 50[0:Inp] || -> subset(u,v) in(skf31(v,u),u)*.
% 9.55/9.76 64[0:Inp] || in(u,v) -> element(u,v)* empty(v).
% 9.55/9.76 67[0:Inp] || in(skf31(u,v),u)*+ -> subset(w,u)*.
% 9.55/9.76 121[0:Inp] || subset(u,v)*+ equal(w,powerset(v))* -> in(u,w)*.
% 9.55/9.76 185[0:MRR:64.2,46.0] || in(u,v) -> element(u,v)*.
% 9.55/9.76 189[0:Res:185.1,12.0] || in(skc4,powerset(skc5))* -> .
% 9.55/9.76 2964[0:Res:32.1,67.0] || in(skf31(skc5,u),skc4)*+ -> subset(v,skc5)*.
% 9.55/9.76 18715[0:Res:50.1,2964.0] || -> subset(skc4,skc5)*r subset(u,skc5)*.
% 9.55/9.76 18716[0:Con:18715.1] || -> subset(skc4,skc5)*r.
% 9.55/9.76 18724[0:Res:18716.0,121.0] || equal(u,powerset(skc5)) -> in(skc4,u)*.
% 9.55/9.76 20425[0:Res:18724.1,189.0] || equal(powerset(skc5),powerset(skc5))* -> .
% 9.55/9.76 20442[0:Obv:20425.0] || -> .
% 9.55/9.76 % SZS output end Refutation
% 9.55/9.76 Formulae used in the proof : l71_subset_1 t7_boole d3_tarski d2_subset_1 d1_zfmisc_1
% 9.55/9.76
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