TSTP Solution File: ALG223+1 by SPASS---3.9
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- Process Solution
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% File : SPASS---3.9
% Problem : ALG223+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 : Thu Jul 14 18:03:04 EDT 2022
% Result : Theorem 15.75s 15.96s
% Output : Refutation 15.75s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : ALG223+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.15 % Command : run_spass %d %s
% 0.11/0.34 % Computer : n022.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 600
% 0.11/0.34 % DateTime : Tue Jun 7 23:24:50 EDT 2022
% 0.11/0.34 % CPUTime :
% 15.75/15.96
% 15.75/15.96 SPASS V 3.9
% 15.75/15.96 SPASS beiseite: Proof found.
% 15.75/15.96 % SZS status Theorem
% 15.75/15.96 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.75/15.96 SPASS derived 11145 clauses, backtracked 163 clauses, performed 9 splits and kept 9274 clauses.
% 15.75/15.96 SPASS allocated 119563 KBytes.
% 15.75/15.96 SPASS spent 0:0:15.23 on the problem.
% 15.75/15.96 0:00:00.04 for the input.
% 15.75/15.96 0:00:00.03 for the FLOTTER CNF translation.
% 15.75/15.96 0:00:00.23 for inferences.
% 15.75/15.96 0:00:00.01 for the backtracking.
% 15.75/15.96 0:0:14.67 for the reduction.
% 15.75/15.96
% 15.75/15.96
% 15.75/15.96 Here is a proof with depth 5, length 25 :
% 15.75/15.96 % SZS output start Refutation
% 15.75/15.96 18[0:Inp] || -> m1_pboole(skc13,skc12)*.
% 15.75/15.96 26[0:Inp] || -> r1_closure3(skc12,skc13,skc16,skc15)*.
% 15.75/15.96 27[0:Inp] || -> r1_closure3(skc12,skc13,skc15,skc14)*.
% 15.75/15.96 31[0:Inp] || -> r1_tarski(u,skf10(u,v))*r.
% 15.75/15.96 38[0:Inp] || -> m1_subset_1(skc16,k1_zfmisc_1(k1_closure2(skc12,skc13)))*.
% 15.75/15.96 39[0:Inp] || -> m1_subset_1(skc15,k1_zfmisc_1(k1_closure2(skc12,skc13)))*.
% 15.75/15.96 40[0:Inp] || -> m1_subset_1(skc14,k1_zfmisc_1(k1_closure2(skc12,skc13)))*.
% 15.75/15.96 41[0:Inp] || r1_closure3(skc12,skc13,skc16,skc14)* -> .
% 15.75/15.96 71[0:Inp] || r1_tarski(u,v)* r1_tarski(v,w)* -> r1_tarski(u,w)*.
% 15.75/15.96 75[0:Inp] || m1_pboole(u,v) m1_subset_1(w,k1_zfmisc_1(k1_closure2(v,u)))*+ m1_subset_1(x,k1_zfmisc_1(k1_closure2(v,u)))* -> r2_hidden(skf12(x,w),w)* r1_closure3(v,u,x,w)*.
% 15.75/15.96 76[0:Inp] || m1_pboole(u,v) r2_hidden(w,x)* m1_subset_1(y,k1_zfmisc_1(k1_closure2(v,u)))* m1_subset_1(x,k1_zfmisc_1(k1_closure2(v,u)))* r1_tarski(skf12(x,z),w)*+ -> r1_closure3(v,u,x,y)*.
% 15.75/15.96 77[0:Inp] || m1_pboole(u,v) r2_hidden(w,x)* m1_subset_1(x,k1_zfmisc_1(k1_closure2(v,u)))*+ m1_subset_1(y,k1_zfmisc_1(k1_closure2(v,u)))* r1_closure3(v,u,y,x)* -> r2_hidden(skf10(w,y),y)*.
% 15.75/15.96 97[0:Res:27.0,77.0] || r2_hidden(u,skc14) m1_pboole(skc13,skc12) m1_subset_1(skc15,k1_zfmisc_1(k1_closure2(skc12,skc13)))* m1_subset_1(skc14,k1_zfmisc_1(k1_closure2(skc12,skc13))) -> r2_hidden(skf10(u,skc15),skc15)*.
% 15.75/15.96 98[0:Res:26.0,77.0] || r2_hidden(u,skc15) m1_pboole(skc13,skc12) m1_subset_1(skc16,k1_zfmisc_1(k1_closure2(skc12,skc13)))* m1_subset_1(skc15,k1_zfmisc_1(k1_closure2(skc12,skc13))) -> r2_hidden(skf10(u,skc16),skc16)*.
% 15.75/15.96 99[0:Res:75.4,41.0] || m1_pboole(skc13,skc12) m1_subset_1(skc16,k1_zfmisc_1(k1_closure2(skc12,skc13)))* m1_subset_1(skc14,k1_zfmisc_1(k1_closure2(skc12,skc13))) -> r2_hidden(skf12(skc16,skc14),skc14).
% 15.75/15.96 100[0:Res:76.5,41.0] || r2_hidden(u,skc16)* r1_tarski(skf12(skc16,v),u)* m1_pboole(skc13,skc12) m1_subset_1(skc16,k1_zfmisc_1(k1_closure2(skc12,skc13)))* m1_subset_1(skc14,k1_zfmisc_1(k1_closure2(skc12,skc13))) -> .
% 15.75/15.96 149[0:MRR:99.0,99.1,99.2,18.0,38.0,40.0] || -> r2_hidden(skf12(skc16,skc14),skc14)*.
% 15.75/15.96 156[0:MRR:98.1,98.2,98.3,18.0,38.0,39.0] || r2_hidden(u,skc15) -> r2_hidden(skf10(u,skc16),skc16)*.
% 15.75/15.96 157[0:MRR:97.1,97.2,97.3,18.0,39.0,40.0] || r2_hidden(u,skc14) -> r2_hidden(skf10(u,skc15),skc15)*.
% 15.75/15.96 164[0:MRR:100.2,100.3,100.4,18.0,38.0,40.0] || r2_hidden(u,skc16)* r1_tarski(skf12(skc16,v),u)*+ -> .
% 15.75/15.96 874[0:NCh:71.2,71.1,164.1,31.0] || r2_hidden(skf10(u,v),skc16)* r1_tarski(skf12(skc16,w),u)*+ -> .
% 15.75/15.96 13293[0:Res:31.0,874.1] || r2_hidden(skf10(skf10(skf12(skc16,u),v),w),skc16)* -> .
% 15.75/15.96 13304[0:Res:156.1,13293.0] || r2_hidden(skf10(skf12(skc16,u),v),skc15)* -> .
% 15.75/15.96 13309[0:Res:157.1,13304.0] || r2_hidden(skf12(skc16,u),skc14)* -> .
% 15.75/15.96 13311[0:UnC:13309.0,149.0] || -> .
% 15.75/15.96 % SZS output end Refutation
% 15.75/15.96 Formulae used in the proof : t4_closure3 d1_closure3 reflexivity_r1_tarski t1_xboole_1
% 15.75/15.96
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