%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : FLD030-1 : TPTP v8.1.0. Bugfixed v2.1.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n023.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 : Sat Jul 16 02:28:23 EDT 2022 % Result : Unsatisfiable 0.12s 0.40s % Output : Refutation 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : FLD030-1 : TPTP v8.1.0. Bugfixed v2.1.0. % 0.11/0.12 % Command : run_spass %d %s % 0.12/0.33 % Computer : n023.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 : 600 % 0.12/0.33 % DateTime : Tue Jun 7 00:57:39 EDT 2022 % 0.12/0.33 % CPUTime : % 0.12/0.40 % 0.12/0.40 SPASS V 3.9 % 0.12/0.40 SPASS beiseite: Proof found. % 0.12/0.40 % SZS status Theorem % 0.12/0.40 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.40 SPASS derived 7 clauses, backtracked 0 clauses, performed 0 splits and kept 32 clauses. % 0.12/0.40 SPASS allocated 75627 KBytes. % 0.12/0.40 SPASS spent 0:00:00.06 on the problem. % 0.12/0.40 0:00:00.04 for the input. % 0.12/0.40 0:00:00.00 for the FLOTTER CNF translation. % 0.12/0.40 0:00:00.00 for inferences. % 0.12/0.40 0:00:00.00 for the backtracking. % 0.12/0.40 0:00:00.00 for the reduction. % 0.12/0.40 % 0.12/0.40 % 0.12/0.40 Here is a proof with depth 1, length 8 : % 0.12/0.40 % SZS output start Refutation % 0.12/0.40 2[0:Inp] || -> defined(b)*. % 0.12/0.40 4[0:Inp] || -> equalish(a,d)*l. % 0.12/0.40 5[0:Inp] || equalish(multiply(d,b),multiply(a,b))*r -> . % 0.12/0.40 27[0:Inp] || equalish(u,v)* -> equalish(v,u). % 0.12/0.40 30[0:Inp] defined(u) || equalish(v,w) -> equalish(multiply(v,u),multiply(w,u))*. % 0.12/0.40 33[0:Res:4.0,27.0] || -> equalish(d,a)*r. % 0.12/0.40 38[0:Res:30.2,5.0] defined(b) || equalish(d,a)*r -> . % 0.12/0.40 40[0:MRR:38.0,38.1,2.0,33.0] || -> . % 0.12/0.40 % SZS output end Refutation % 0.12/0.40 Formulae used in the proof : b_is_defined a_equals_d_4 multiply_not_equal_to_multiply_5 symmetry_of_equality compatibility_of_equality_and_multiplication % 0.12/0.40 %------------------------------------------------------------------------------