TSTP Solution File: SET890+1 by SPASS---3.9
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- Process Solution
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% File : SPASS---3.9
% Problem : SET890+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 05:29:36 EDT 2022
% Result : Theorem 0.19s 0.55s
% 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
% 0.04/0.12 % Problem : SET890+1 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n028.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 : Mon Jul 11 09:40:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.55
% 0.19/0.55 SPASS V 3.9
% 0.19/0.55 SPASS beiseite: Proof found.
% 0.19/0.55 % SZS status Theorem
% 0.19/0.55 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.55 SPASS derived 550 clauses, backtracked 12 clauses, performed 2 splits and kept 382 clauses.
% 0.19/0.55 SPASS allocated 85805 KBytes.
% 0.19/0.55 SPASS spent 0:00:00.20 on the problem.
% 0.19/0.55 0:00:00.04 for the input.
% 0.19/0.55 0:00:00.04 for the FLOTTER CNF translation.
% 0.19/0.55 0:00:00.01 for inferences.
% 0.19/0.55 0:00:00.00 for the backtracking.
% 0.19/0.55 0:00:00.08 for the reduction.
% 0.19/0.55
% 0.19/0.55
% 0.19/0.55 Here is a proof with depth 4, length 25 :
% 0.19/0.55 % SZS output start Refutation
% 0.19/0.55 5[0:Inp] || equal(union(singleton(skc3)),skc3)** -> .
% 0.19/0.55 8[0:Inp] || -> in(skf9(u,v),skf10(v,u))*.
% 0.19/0.55 15[0:Inp] || in(u,v)* equal(v,singleton(w))*+ -> equal(u,w)*.
% 0.19/0.55 16[0:Inp] || equal(u,v)* equal(w,singleton(v))*+ -> in(u,w)*.
% 0.19/0.55 19[0:Inp] || -> equal(u,union(v)) in(skf10(u,v),v)* in(skf9(v,u),u)*.
% 0.19/0.55 22[0:Inp] || in(u,v) in(skf9(v,w),u)*+ in(skf9(v,w),w)* -> equal(w,union(v)).
% 0.19/0.55 27[0:Res:22.3,5.0] || in(u,singleton(skc3)) in(skf9(singleton(skc3),skc3),u)* in(skf9(singleton(skc3),skc3),skc3)* -> .
% 0.19/0.55 28[0:Res:19.2,5.0] || -> in(skf10(skc3,singleton(skc3)),singleton(skc3))* in(skf9(singleton(skc3),skc3),skc3).
% 0.19/0.55 44[0:EqR:16.1] || equal(u,v) -> in(u,singleton(v))*.
% 0.19/0.55 53[0:EqR:15.1] || in(u,singleton(v))* -> equal(u,v).
% 0.19/0.55 311[0:Res:28.0,53.0] || -> in(skf9(singleton(skc3),skc3),skc3)* equal(skf10(skc3,singleton(skc3)),skc3).
% 0.19/0.55 312[0:Rew:311.1,28.0] || -> in(skc3,singleton(skc3)) in(skf9(singleton(skc3),skc3),skc3)*.
% 0.19/0.55 316[1:Spt:312.0] || -> in(skc3,singleton(skc3))*.
% 0.19/0.55 551[2:Spt:311.0] || -> in(skf9(singleton(skc3),skc3),skc3)*.
% 0.19/0.55 552[2:MRR:27.2,551.0] || in(u,singleton(skc3)) in(skf9(singleton(skc3),skc3),u)* -> .
% 0.19/0.55 578[2:Res:551.0,552.1] || in(skc3,singleton(skc3))* -> .
% 0.19/0.55 579[2:MRR:578.0,316.0] || -> .
% 0.19/0.55 581[2:Spt:579.0,311.0,551.0] || in(skf9(singleton(skc3),skc3),skc3)* -> .
% 0.19/0.55 582[2:Spt:579.0,311.1] || -> equal(skf10(skc3,singleton(skc3)),skc3)**.
% 0.19/0.55 584[2:SpR:582.0,8.0] || -> in(skf9(singleton(skc3),skc3),skc3)*.
% 0.19/0.55 594[2:MRR:584.0,581.0] || -> .
% 0.19/0.55 596[1:Spt:594.0,312.0,316.0] || in(skc3,singleton(skc3))* -> .
% 0.19/0.55 597[1:Spt:594.0,312.1] || -> in(skf9(singleton(skc3),skc3),skc3)*.
% 0.19/0.55 607[1:Res:44.1,596.0] || equal(skc3,skc3)* -> .
% 0.19/0.55 608[1:Obv:607.0] || -> .
% 0.19/0.55 % SZS output end Refutation
% 0.19/0.55 Formulae used in the proof : t31_zfmisc_1 d4_tarski reflexivity_r1_tarski d10_xboole_0 d1_tarski
% 0.19/0.55
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