%------------------------------------------------------------------------------ % File : SPASS+T---2.2.22 % Problem : SWX000_1 : TPTP v9.1.0. Released v9.1.0. % Transfm : none % Format : tptp:raw % Command : spasst-tptp-script %s %d % Computer : n009.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 : 300s % DateTime : Sun Apr 6 10:09:27 AM UTC 2025 % Result : Theorem 0.83s 1.13s % Output : Refutation 0.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.10 % Problem : SWX000_1 : TPTP v9.1.0. Released v9.1.0. % 0.06/0.11 % Command : spasst-tptp-script %s %d % 0.11/0.32 % Computer : n009.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Sun Apr 6 02:55:41 EDT 2025 % 0.11/0.32 % CPUTime : % 0.18/0.45 % Using integer theory % 0.83/1.13 % 0.83/1.13 % 0.83/1.13 % SZS status Theorem for /tmp/SPASST_16970_n009.cluster.edu % 0.83/1.13 % 0.83/1.13 SPASS V 2.2.22 in combination with yices. % 0.83/1.13 SPASS beiseite: Proof found by SPASS. % 0.83/1.13 Problem: /tmp/SPASST_16970_n009.cluster.edu % 0.83/1.13 SPASS derived 29 clauses, backtracked 10 clauses and kept 102 clauses. % 0.83/1.13 SPASS backtracked 3 times (0 times due to theory inconsistency). % 0.83/1.13 SPASS allocated 6683 KBytes. % 0.83/1.13 SPASS spent 0:00:00.05 on the problem. % 0.83/1.13 0:00:00.00 for the input. % 0.83/1.13 0:00:00.02 for the FLOTTER CNF translation. % 0.83/1.13 0:00:00.00 for inferences. % 0.83/1.13 0:00:00.00 for the backtracking. % 0.83/1.13 0:00:00.01 for the reduction. % 0.83/1.13 0:00:00.00 for interacting with the SMT procedure. % 0.83/1.13 % 0.83/1.13 % 0.83/1.13 % SZS output start CNFRefutation for /tmp/SPASST_16970_n009.cluster.edu % 0.83/1.13 % 0.83/1.13 % Here is a proof with depth 3, length 22 : % 0.83/1.13 7[0:Inp] || -> greatereq(skc5,0)*. % 0.83/1.13 8[0:Inp] || -> greater(skc4,0)*. % 0.83/1.13 18(e)[0:Inp] || div_p(f__integer__(skc5),f__integer__(skc4),f__integer__(U),f__integer__(V))* -> . % 0.83/1.13 38[0:Inp] || greatereq(U,0) greater(V,0) -> div_p(f__integer__(U),f__integer__(V),f__integer__(skf15(V,U)),f__integer__(skf14(V,U)))*. % 0.83/1.13 60[0:ThA] || -> equal(U,V) less(V,U)* less(U,V)*. % 0.83/1.13 79[0:ArS:8.0] || -> less(0,skc4)*. % 0.83/1.13 80[0:ArS:7.0] || -> lesseq(0,skc5)*. % 0.83/1.13 82[0:ArS:38.1] || lesseq(0,U) less(0,V) -> div_p(f__integer__(U),f__integer__(V),f__integer__(skf15(V,U)),f__integer__(skf14(V,U)))*. % 0.83/1.13 83(e)[0:TOC:82.1] || -> less(U,0) lesseq(V,0) div_p(f__integer__(U),f__integer__(V),f__integer__(skf15(V,U)),f__integer__(skf14(V,U)))*. % 0.83/1.13 88(e)[0:Res:83.2,18.0] || -> less(skc5,0) lesseq(skc4,0)*. % 0.83/1.13 95(e)[0:OCE:80.0,60.1] || -> equal(skc5,0) less(0,skc5)*. % 0.83/1.13 97[1:Spt:95.0] || -> equal(skc5,0)**. % 0.83/1.13 102[1:Rew:97.0,88.0] || -> less(0,0) lesseq(skc4,0)*. % 0.83/1.13 105[1:ArS:102.0] || -> lesseq(skc4,0)*. % 0.83/1.13 112(e)[1:OCE:105.0,79.0] || -> . % 0.83/1.13 115[1:Spt:112.0,95.0,97.0] || equal(skc5,0)** -> . % 0.83/1.13 116[1:Spt:112.0,95.1] || -> less(0,skc5)*. % 0.83/1.13 121[2:Spt:88.0] || -> less(skc5,0)*. % 0.83/1.13 122(e)[2:OCE:121.0,116.0] || -> . % 0.83/1.13 128[2:Spt:122.0,88.0,121.0] || less(skc5,0)* -> . % 0.83/1.13 129[2:Spt:122.0,88.1] || -> lesseq(skc4,0)*. % 0.83/1.13 131(e)[2:OCE:129.0,79.0] || -> . % 0.83/1.13 % 0.83/1.13 % SZS output end CNFRefutation for /tmp/SPASST_16970_n009.cluster.edu % 0.83/1.13 % 0.83/1.13 Formulae used in the proof : fof_f__integer___decl fof_formula_4_unnamed_formula fof_p__is_integer__def_ax fof_formula_0_completed_definition_of_div_4 % 0.83/1.15 % 0.83/1.15 SPASS+T ended %------------------------------------------------------------------------------