%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : FLD025-1 : TPTP v8.1.0. Bugfixed v2.1.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n021.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 02:28:21 EDT 2022 % Result : Unsatisfiable 0.19s 0.44s % Output : Refutation 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : FLD025-1 : TPTP v8.1.0. Bugfixed v2.1.0. % 0.11/0.13 % Command : run_spass %d %s % 0.13/0.34 % Computer : n021.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Tue Jun 7 01:53:06 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.44 % 0.19/0.44 SPASS V 3.9 % 0.19/0.44 SPASS beiseite: Proof found. % 0.19/0.44 % SZS status Theorem % 0.19/0.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.19/0.44 SPASS derived 175 clauses, backtracked 0 clauses, performed 0 splits and kept 140 clauses. % 0.19/0.44 SPASS allocated 75864 KBytes. % 0.19/0.44 SPASS spent 0:00:00.09 on the problem. % 0.19/0.44 0:00:00.04 for the input. % 0.19/0.44 0:00:00.00 for the FLOTTER CNF translation. % 0.19/0.44 0:00:00.01 for inferences. % 0.19/0.44 0:00:00.00 for the backtracking. % 0.19/0.44 0:00:00.02 for the reduction. % 0.19/0.44 % 0.19/0.44 % 0.19/0.44 Here is a proof with depth 4, length 16 : % 0.19/0.44 % SZS output start Refutation % 0.19/0.44 2[0:Inp] || -> defined(b)*. % 0.19/0.44 3[0:Inp] || -> defined(c)*. % 0.19/0.44 5[0:Inp] || -> equalish(a,b)*l. % 0.19/0.44 6[0:Inp] || -> equalish(c,d)*l. % 0.19/0.44 7[0:Inp] || equalish(multiply(a,c),multiply(d,b))*l -> . % 0.19/0.44 15[0:Inp] defined(u) defined(v) || -> equalish(multiply(v,u),multiply(u,v))*. % 0.19/0.44 30[0:Inp] || equalish(u,v)* equalish(v,w)* -> equalish(u,w)*. % 0.19/0.44 32[0:Inp] defined(u) || equalish(v,w) -> equalish(multiply(v,u),multiply(w,u))*. % 0.19/0.44 40[0:Res:5.0,32.1] defined(u) || -> equalish(multiply(a,u),multiply(b,u))*l. % 0.19/0.44 223[0:NCh:30.2,30.0,40.1,7.0] defined(c) || equalish(multiply(b,c),multiply(d,b))*l -> . % 0.19/0.44 226[0:SSi:223.0,3.0] || equalish(multiply(b,c),multiply(d,b))*l -> . % 0.19/0.44 286[0:NCh:30.2,30.0,226.0,15.2] defined(c) defined(b) || equalish(multiply(c,b),multiply(d,b))*l -> . % 0.19/0.44 288[0:SSi:286.1,286.0,2.0,3.0] || equalish(multiply(c,b),multiply(d,b))*l -> . % 0.19/0.44 290[0:Res:32.2,288.0] defined(b) || equalish(c,d)*l -> . % 0.19/0.44 292[0:SSi:290.0,2.0] || equalish(c,d)*l -> . % 0.19/0.44 293[0:MRR:292.0,6.0] || -> . % 0.19/0.44 % SZS output end Refutation % 0.19/0.44 Formulae used in the proof : b_is_defined c_is_defined a_equals_b_5 c_equals_d_6 multiply_not_equal_to_multiply_7 commutativity_multiplication transitivity_of_equality compatibility_of_equality_and_multiplication % 0.19/0.44 %------------------------------------------------------------------------------