%------------------------------------------------------------------------------ % 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 : n008.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 10:09:29 AM UTC 2025 % Result : Theorem 7.46s 4.78s % Output : Refutation 7.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SWX000_1 : TPTP v9.1.0. Released v9.1.0. % 0.03/0.12 % Command : spasst-tptp-script %s %d % 0.12/0.33 % Computer : n008.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Sun Apr 6 03:09:17 EDT 2025 % 0.12/0.33 % CPUTime : % 0.18/0.46 % Using integer theory % 7.46/4.78 % 7.46/4.78 % 7.46/4.78 % SZS status Theorem for /tmp/SPASST_22915_n008.cluster.edu % 7.46/4.78 % 7.46/4.78 SPASS V 2.2.22 in combination with yices. % 7.46/4.78 SPASS beiseite: Proof found by SPASS. % 7.46/4.78 Problem: /tmp/SPASST_22915_n008.cluster.edu % 7.46/4.78 SPASS derived 9455 clauses, backtracked 0 clauses and kept 4036 clauses. % 7.46/4.78 SPASS backtracked 1 times (0 times due to theory inconsistency). % 7.46/4.78 SPASS allocated 18784 KBytes. % 7.46/4.78 SPASS spent 0:00:03.63 on the problem. % 7.46/4.78 0:00:00.00 for the input. % 7.46/4.78 0:00:00.06 for the FLOTTER CNF translation. % 7.46/4.78 0:00:00.11 for inferences. % 7.46/4.78 0:00:00.51 for the backtracking. % 7.46/4.78 0:00:02.55 for the reduction. % 7.46/4.78 0:00:00.14 for interacting with the SMT procedure. % 7.46/4.78 % 7.46/4.78 % 7.46/4.78 % SZS output start CNFRefutation for /tmp/SPASST_22915_n008.cluster.edu % 7.46/4.78 % 7.46/4.78 % Here is a proof with depth 2, length 8 : % 7.46/4.78 26[0:Inp] || sqrt(f__integer__(U),f__integer__(0))* -> . % 7.46/4.78 86[0:Inp] || greatereq(U,0) less(V,times(plus(U,1),plus(U,1)))* lesseq(times(U,U),V) -> sqrt(f__integer__(U),f__integer__(V))*. % 7.46/4.78 99[0:ThA] || -> equal(plus(0,U),U)**. % 7.46/4.78 126[0:ArS:86.0] || lesseq(0,U) less(V,times(plus(U,1),plus(U,1)))* lesseq(times(U,U),V) -> sqrt(f__integer__(U),f__integer__(V))*. % 7.46/4.78 127[0:TOC:126.1] || -> less(U,0) less(V,times(U,U)) sqrt(f__integer__(U),f__integer__(V))* lesseq(times(plus(U,1),plus(U,1)),V)*. % 7.46/4.78 133[0:Res:127.3,26.0] || -> less(U,0) less(0,times(U,U)) lesseq(times(plus(U,1),plus(U,1)),0)*. % 7.46/4.78 14201[0:SpR:99.0,133.2] || -> less(0,0) less(0,times(0,0)) lesseq(times(1,1),0)*. % 7.46/4.78 14209(e)[0:ArS:14201.2] || -> . % 7.46/4.78 % 7.46/4.78 % SZS output end CNFRefutation for /tmp/SPASST_22915_n008.cluster.edu % 7.46/4.78 % 7.46/4.78 Formulae used in the proof : fof_f__symbolic___decl fof_formula_4_completed_definition_of_prime_1 % 7.84/5.19 % 7.84/5.19 SPASS+T ended %------------------------------------------------------------------------------