%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : LDA003-1 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n017.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 : Sun Jul 17 16:45:55 EDT 2022 % Result : Unsatisfiable 0.13s 0.40s % Output : Refutation 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : LDA003-1 : TPTP v8.1.0. Released v1.0.0. % 0.10/0.12 % Command : run_spass %d %s % 0.13/0.33 % Computer : n017.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Mon May 30 03:30:39 EDT 2022 % 0.13/0.33 % CPUTime : % 0.13/0.40 % 0.13/0.40 SPASS V 3.9 % 0.13/0.40 SPASS beiseite: Proof found. % 0.13/0.40 % SZS status Theorem % 0.13/0.40 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.13/0.40 SPASS derived 28 clauses, backtracked 0 clauses, performed 0 splits and kept 25 clauses. % 0.13/0.40 SPASS allocated 63132 KBytes. % 0.13/0.40 SPASS spent 0:00:00.06 on the problem. % 0.13/0.40 0:00:00.03 for the input. % 0.13/0.40 0:00:00.00 for the FLOTTER CNF translation. % 0.13/0.40 0:00:00.00 for inferences. % 0.13/0.40 0:00:00.00 for the backtracking. % 0.13/0.40 0:00:00.00 for the reduction. % 0.13/0.40 % 0.13/0.40 % 0.13/0.40 Here is a proof with depth 3, length 11 : % 0.13/0.40 % SZS output start Refutation % 0.13/0.40 1[0:Inp] || -> equal(f(f(u,v),f(u,w)),f(u,f(v,w)))**. % 0.13/0.40 2[0:Inp] || -> left(u,f(u,v))*r. % 0.13/0.40 4[0:Inp] || -> equal(f(n1,n1),n2)**. % 0.13/0.40 5[0:Inp] || -> equal(f(n2,n1),n3)**. % 0.13/0.40 6[0:Inp] || -> equal(f(n2,n2),u__dfg)**. % 0.13/0.40 7[0:Inp] || left(n3,u__dfg)*r -> . % 0.13/0.40 20[0:SpR:5.0,1.0] || -> equal(f(f(n2,u),n3),f(n2,f(u,n1)))**. % 0.13/0.40 30[0:SpR:5.0,20.0] || -> equal(f(n2,f(n1,n1)),f(n3,n3))**. % 0.13/0.40 32[0:Rew:6.0,30.0,4.0,30.0] || -> equal(f(n3,n3),u__dfg)**. % 0.13/0.40 38[0:SpR:32.0,2.0] || -> left(n3,u__dfg)*r. % 0.13/0.40 42[0:MRR:38.0,7.0] || -> . % 0.13/0.40 % SZS output end Refutation % 0.13/0.40 Formulae used in the proof : a1 a2 clause_4 clause_5 clause_6 prove_equation % 0.13/0.40 %------------------------------------------------------------------------------