%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : MSC012+1 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n028.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 22:59:35 EDT 2022 % Result : Theorem 0.17s 0.42s % Output : Refutation 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : MSC012+1 : TPTP v8.1.0. Released v3.2.0. % 0.06/0.12 % Command : run_spass %d %s % 0.12/0.32 % Computer : n028.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Fri Jul 1 16:51:16 EDT 2022 % 0.12/0.32 % CPUTime : % 0.17/0.42 % 0.17/0.42 SPASS V 3.9 % 0.17/0.42 SPASS beiseite: Proof found. % 0.17/0.42 % SZS status Theorem % 0.17/0.42 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.17/0.42 SPASS derived 13 clauses, backtracked 0 clauses, performed 0 splits and kept 11 clauses. % 0.17/0.42 SPASS allocated 97561 KBytes. % 0.17/0.42 SPASS spent 0:00:00.09 on the problem. % 0.17/0.42 0:00:00.04 for the input. % 0.17/0.42 0:00:00.03 for the FLOTTER CNF translation. % 0.17/0.42 0:00:00.00 for inferences. % 0.17/0.42 0:00:00.00 for the backtracking. % 0.17/0.42 0:00:00.00 for the reduction. % 0.17/0.42 % 0.17/0.42 % 0.17/0.42 Here is a proof with depth 3, length 12 : % 0.17/0.42 % SZS output start Refutation % 0.17/0.42 1[0:Inp] || goal* -> . % 0.17/0.42 2[0:Inp] || -> less(u,skf2(u))*r. % 0.17/0.42 3[0:Inp] || -> less(u,skf3(u))*r. % 0.17/0.42 4[0:Inp] || -> p(u) p(skf2(u))*. % 0.17/0.42 5[0:Inp] p(u) p(v) || less(u,v)* -> goal*. % 0.17/0.42 6[0:Inp] || less(u,v)* less(v,w)* -> less(u,w)*. % 0.17/0.42 7[0:MRR:5.3,1.0] p(u) p(v) || less(v,u)* -> . % 0.17/0.42 16[0:NCh:6.2,6.1,7.2,2.0] p(skf2(u)) p(v) || less(v,u)* -> . % 0.17/0.42 17[0:SoR:16.0,4.1] p(u) || less(u,v)* -> p(v)*. % 0.17/0.42 18[0:MRR:17.2,7.0] p(u) || less(u,v)* -> . % 0.17/0.42 19[0:Res:3.0,18.1] p(u) || -> . % 0.17/0.42 23[0:MRR:4.1,4.0,19.0] || -> . % 0.17/0.42 % SZS output end Refutation % 0.17/0.42 Formulae used in the proof : goal_to_be_proved right_to_left serial_less left_to_right transitive_less % 0.17/0.42 %------------------------------------------------------------------------------