%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SYN726-1 : TPTP v8.1.0. Released v2.5.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n011.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 : Thu Jul 21 12:23:57 EDT 2022 % Result : Unsatisfiable 0.17s 0.40s % Output : Refutation 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SYN726-1 : TPTP v8.1.0. Released v2.5.0. % 0.03/0.12 % Command : run_spass %d %s % 0.11/0.33 % Computer : n011.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Mon Jul 11 22:39:27 EDT 2022 % 0.11/0.33 % CPUTime : % 0.17/0.40 % 0.17/0.40 SPASS V 3.9 % 0.17/0.40 SPASS beiseite: Proof found. % 0.17/0.40 % SZS status Theorem % 0.17/0.40 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.17/0.40 SPASS derived 17 clauses, backtracked 0 clauses, performed 0 splits and kept 15 clauses. % 0.17/0.40 SPASS allocated 63091 KBytes. % 0.17/0.40 SPASS spent 0:00:00.06 on the problem. % 0.17/0.40 0:00:00.04 for the input. % 0.17/0.40 0:00:00.00 for the FLOTTER CNF translation. % 0.17/0.40 0:00:00.00 for inferences. % 0.17/0.40 0:00:00.00 for the backtracking. % 0.17/0.40 0:00:00.00 for the reduction. % 0.17/0.40 % 0.17/0.40 % 0.17/0.40 Here is a proof with depth 3, length 16 : % 0.17/0.40 % SZS output start Refutation % 0.17/0.40 1[0:Inp] || p(u,v)* p(v,w)* -> p(u,w)*. % 0.17/0.40 2[0:Inp] || q(u,v)* q(v,w)* -> q(u,w)*. % 0.17/0.40 3[0:Inp] || q(u,v)*+ -> q(v,u). % 0.17/0.40 4[0:Inp] || -> q(u,v) p(u,v)*. % 0.17/0.40 5[0:Inp] || p(sk1,sk2)*l+ -> . % 0.17/0.40 6[0:Inp] || q(sk3,sk4)*l+ -> . % 0.17/0.40 7[0:Res:4.1,5.0] || -> q(sk1,sk2)*l. % 0.17/0.40 10[0:NCh:1.2,1.0,4.1,5.0] || p(u,sk2)*+ -> q(sk1,u)*. % 0.17/0.40 11[0:Res:7.0,3.0] || -> q(sk2,sk1)*r. % 0.17/0.40 15[0:NCh:2.2,2.1,11.0,3.0] || q(u,sk2)* -> q(sk1,u)*. % 0.17/0.40 17[0:Res:4.1,10.0] || -> q(u,sk2)* q(sk1,u)*. % 0.17/0.40 20[0:MRR:17.0,15.0] || -> q(sk1,u)*. % 0.17/0.40 21[0:Res:20.0,3.0] || -> q(u,sk1)*. % 0.17/0.40 24[0:NCh:2.2,2.1,20.0,3.0] || q(u,sk1)* -> q(v,u)*. % 0.17/0.40 25[0:MRR:24.0,21.0] || -> q(u,v)*. % 0.17/0.40 26[0:UnC:25.0,6.0] || -> . % 0.17/0.40 % SZS output end Refutation % 0.17/0.40 Formulae used in the proof : thm400_1 thm400_2 thm400_3 thm400_4 thm400_5 thm400_6 % 0.17/0.40 %------------------------------------------------------------------------------