%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : MSC006-1 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n007.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 22:59:29 EDT 2022 % Result : Unsatisfiable 0.20s 0.40s % Output : Refutation 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : MSC006-1 : TPTP v8.1.0. Released v1.0.0. % 0.06/0.12 % Command : run_spass %d %s % 0.13/0.33 % Computer : n007.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 : Fri Jul 1 16:02:24 EDT 2022 % 0.13/0.33 % CPUTime : % 0.20/0.40 % 0.20/0.40 SPASS V 3.9 % 0.20/0.40 SPASS beiseite: Proof found. % 0.20/0.40 % SZS status Theorem % 0.20/0.40 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.20/0.40 SPASS derived 47 clauses, backtracked 0 clauses, performed 1 splits and kept 38 clauses. % 0.20/0.40 SPASS allocated 63113 KBytes. % 0.20/0.40 SPASS spent 0:00:00.06 on the problem. % 0.20/0.40 0:00:00.03 for the input. % 0.20/0.40 0:00:00.00 for the FLOTTER CNF translation. % 0.20/0.40 0:00:00.00 for inferences. % 0.20/0.40 0:00:00.00 for the backtracking. % 0.20/0.40 0:00:00.00 for the reduction. % 0.20/0.40 % 0.20/0.40 % 0.20/0.40 Here is a proof with depth 3, length 17 : % 0.20/0.40 % SZS output start Refutation % 0.20/0.40 1[0:Inp] || p(u,v)* p(v,w)* -> p(u,w)*. % 0.20/0.40 2[0:Inp] || q(u,v)* q(v,w)* -> q(u,w)*. % 0.20/0.40 3[0:Inp] || q(u,v)*+ -> q(v,u). % 0.20/0.40 4[0:Inp] || -> q(u,v) p(u,v)*. % 0.20/0.40 5[0:Inp] || p(a,b)*l+ -> . % 0.20/0.40 6[0:Inp] || q(c,d)*l+ -> . % 0.20/0.40 8[0:Res:3.1,6.0] || q(d,c)*r+ -> . % 0.20/0.40 9[0:Res:4.1,5.0] || -> q(a,b)*l. % 0.20/0.40 13[0:NCh:1.2,1.0,4.1,5.0] || p(u,b)*+ -> q(a,u)*. % 0.20/0.40 22[0:Res:9.0,3.0] || -> q(b,a)*r. % 0.20/0.40 28[0:NCh:2.2,2.1,22.0,3.0] || q(u,b)* -> q(a,u)*. % 0.20/0.40 38[0:Res:4.1,13.0] || -> q(u,b)* q(a,u)*. % 0.20/0.40 42[0:MRR:38.0,28.0] || -> q(a,u)*. % 0.20/0.40 49[0:Res:42.0,3.0] || -> q(u,a)*. % 0.20/0.40 54[0:NCh:2.2,2.1,42.0,3.0] || q(u,a)* -> q(v,u)*. % 0.20/0.40 56[0:MRR:54.0,49.0] || -> q(u,v)*. % 0.20/0.40 57[0:UnC:56.0,8.0] || -> . % 0.20/0.40 % SZS output end Refutation % 0.20/0.40 Formulae used in the proof : p_transitivity q_transitivity q_symmetry all_related p_is_not_total prove_q_is_total % 0.20/0.40 %------------------------------------------------------------------------------