%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : FLD034-1 : TPTP v8.1.0. Bugfixed v2.1.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n026.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 02:28:24 EDT 2022 % Result : Unsatisfiable 0.19s 0.43s % Output : Refutation 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : FLD034-1 : TPTP v8.1.0. Bugfixed v2.1.0. % 0.12/0.13 % Command : run_spass %d %s % 0.12/0.34 % Computer : n026.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Mon Jun 6 16:20:00 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.43 % 0.19/0.43 SPASS V 3.9 % 0.19/0.43 SPASS beiseite: Proof found. % 0.19/0.43 % SZS status Theorem % 0.19/0.43 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.43 SPASS derived 133 clauses, backtracked 0 clauses, performed 0 splits and kept 102 clauses. % 0.19/0.43 SPASS allocated 75791 KBytes. % 0.19/0.43 SPASS spent 0:00:00.08 on the problem. % 0.19/0.43 0:00:00.03 for the input. % 0.19/0.43 0:00:00.00 for the FLOTTER CNF translation. % 0.19/0.43 0:00:00.00 for inferences. % 0.19/0.43 0:00:00.00 for the backtracking. % 0.19/0.43 0:00:00.02 for the reduction. % 0.19/0.43 % 0.19/0.43 % 0.19/0.43 Here is a proof with depth 3, length 11 : % 0.19/0.43 % SZS output start Refutation % 0.19/0.43 1[0:Inp] || -> defined(a)*. % 0.19/0.43 3[0:Inp] || -> equalish(m,multiplicative_identity)*l. % 0.19/0.43 4[0:Inp] || equalish(multiply(m,a),a)*l -> . % 0.19/0.43 10[0:Inp] defined(u) || -> equalish(multiply(multiplicative_identity,u),u)*l. % 0.19/0.43 27[0:Inp] || equalish(u,v)* equalish(v,w)* -> equalish(u,w)*. % 0.19/0.43 29[0:Inp] defined(u) || equalish(v,w) -> equalish(multiply(v,u),multiply(w,u))*. % 0.19/0.43 33[0:Res:3.0,29.1] defined(u) || -> equalish(multiply(m,u),multiply(multiplicative_identity,u))*l. % 0.19/0.43 196[0:NCh:27.2,27.0,33.1,4.0] defined(a) || equalish(multiply(multiplicative_identity,a),a)*l -> . % 0.19/0.43 198[0:SSi:196.0,1.0] || equalish(multiply(multiplicative_identity,a),a)*l -> . % 0.19/0.43 219[0:Res:10.1,198.0] defined(a) || -> . % 0.19/0.43 221[0:SSi:219.0,1.0] || -> . % 0.19/0.43 % SZS output end Refutation % 0.19/0.43 Formulae used in the proof : a_is_defined m_equals_multiplicative_identity_3 multiply_not_equal_to_a_4 existence_of_identity_multiplication transitivity_of_equality compatibility_of_equality_and_multiplication % 0.19/0.43 %------------------------------------------------------------------------------