%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : ALG224+1 : TPTP v8.1.0. Released v3.4.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n024.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 18:03:05 EDT 2022 % Result : Theorem 8.56s 8.79s % Output : Refutation 8.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : ALG224+1 : TPTP v8.1.0. Released v3.4.0. % 0.11/0.12 % Command : run_spass %d %s % 0.12/0.32 % Computer : n024.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Wed Jun 8 04:27:34 EDT 2022 % 0.12/0.32 % CPUTime : % 8.56/8.79 % 8.56/8.79 SPASS V 3.9 % 8.56/8.79 SPASS beiseite: Proof found. % 8.56/8.79 % SZS status Theorem % 8.56/8.79 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 8.56/8.79 SPASS derived 12643 clauses, backtracked 113 clauses, performed 12 splits and kept 9417 clauses. % 8.56/8.79 SPASS allocated 119453 KBytes. % 8.56/8.79 SPASS spent 0:00:08.23 on the problem. % 8.56/8.79 0:00:00.04 for the input. % 8.56/8.79 0:00:00.04 for the FLOTTER CNF translation. % 8.56/8.79 0:00:00.19 for inferences. % 8.56/8.79 0:00:00.02 for the backtracking. % 8.56/8.79 0:00:07.74 for the reduction. % 8.56/8.79 % 8.56/8.79 % 8.56/8.79 Here is a proof with depth 5, length 25 : % 8.56/8.79 % SZS output start Refutation % 8.56/8.79 18[0:Inp] || -> m1_pboole(skc13,skc12)*. % 8.56/8.79 26[0:Inp] || -> r2_closure3(skc12,skc13,skc15,skc16)*. % 8.56/8.79 27[0:Inp] || -> r2_closure3(skc12,skc13,skc14,skc15)*. % 8.56/8.79 31[0:Inp] || -> r1_tarski(skf10(u,v),u)*l. % 8.56/8.79 38[0:Inp] || -> m1_subset_1(skc16,k1_zfmisc_1(k1_closure2(skc12,skc13)))*. % 8.56/8.79 39[0:Inp] || -> m1_subset_1(skc15,k1_zfmisc_1(k1_closure2(skc12,skc13)))*. % 8.56/8.79 40[0:Inp] || -> m1_subset_1(skc14,k1_zfmisc_1(k1_closure2(skc12,skc13)))*. % 8.56/8.79 41[0:Inp] || r2_closure3(skc12,skc13,skc14,skc16)* -> . % 8.56/8.79 71[0:Inp] || r1_tarski(u,v)* r1_tarski(v,w)* -> r1_tarski(u,w)*. % 8.56/8.79 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(w,x),x)* r2_closure3(v,u,x,w)*. % 8.56/8.79 76[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_tarski(w,skf12(x,z))*+ -> r2_closure3(v,u,y,x)*. % 8.56/8.79 77[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)))* r2_closure3(v,u,x,y)* -> r2_hidden(skf10(w,y),y)*. % 8.56/8.79 97[0:Res:27.0,77.0] || r2_hidden(u,skc14) m1_pboole(skc13,skc12) m1_subset_1(skc14,k1_zfmisc_1(k1_closure2(skc12,skc13))) m1_subset_1(skc15,k1_zfmisc_1(k1_closure2(skc12,skc13)))* -> r2_hidden(skf10(u,skc15),skc15)*. % 8.56/8.79 98[0:Res:26.0,77.0] || r2_hidden(u,skc15) m1_pboole(skc13,skc12) m1_subset_1(skc15,k1_zfmisc_1(k1_closure2(skc12,skc13))) m1_subset_1(skc16,k1_zfmisc_1(k1_closure2(skc12,skc13)))* -> r2_hidden(skf10(u,skc16),skc16)*. % 8.56/8.79 99[0:Res:75.4,41.0] || m1_pboole(skc13,skc12) m1_subset_1(skc14,k1_zfmisc_1(k1_closure2(skc12,skc13))) m1_subset_1(skc16,k1_zfmisc_1(k1_closure2(skc12,skc13)))* -> r2_hidden(skf12(skc16,skc14),skc14). % 8.56/8.79 100[0:Res:76.5,41.0] || r2_hidden(u,skc16)* r1_tarski(u,skf12(skc16,v))* m1_pboole(skc13,skc12) m1_subset_1(skc14,k1_zfmisc_1(k1_closure2(skc12,skc13))) m1_subset_1(skc16,k1_zfmisc_1(k1_closure2(skc12,skc13)))* -> . % 8.56/8.79 149[0:MRR:99.0,99.1,99.2,18.0,40.0,38.0] || -> r2_hidden(skf12(skc16,skc14),skc14)*. % 8.56/8.79 156[0:MRR:98.1,98.2,98.3,18.0,39.0,38.0] || r2_hidden(u,skc15) -> r2_hidden(skf10(u,skc16),skc16)*. % 8.56/8.79 157[0:MRR:97.1,97.2,97.3,18.0,40.0,39.0] || r2_hidden(u,skc14) -> r2_hidden(skf10(u,skc15),skc15)*. % 8.56/8.79 164[0:MRR:100.2,100.3,100.4,18.0,40.0,38.0] || r2_hidden(u,skc16)* r1_tarski(u,skf12(skc16,v))*+ -> . % 8.56/8.79 895[0:NCh:71.2,71.0,164.1,31.0] || r2_hidden(skf10(u,v),skc16)* r1_tarski(u,skf12(skc16,w))*+ -> . % 8.56/8.79 11391[0:Res:31.0,895.1] || r2_hidden(skf10(skf10(skf12(skc16,u),v),w),skc16)* -> . % 8.56/8.79 14304[0:Res:156.1,11391.0] || r2_hidden(skf10(skf12(skc16,u),v),skc15)* -> . % 8.56/8.79 14310[0:Res:157.1,14304.0] || r2_hidden(skf12(skc16,u),skc14)* -> . % 8.56/8.79 14311[0:UnC:14310.0,149.0] || -> . % 8.56/8.79 % SZS output end Refutation % 8.56/8.79 Formulae used in the proof : t5_closure3 d2_closure3 reflexivity_r1_tarski t1_xboole_1 % 8.56/8.79 %------------------------------------------------------------------------------