%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SYO633-1 : TPTP v8.1.0. Released v7.1.0. % 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 : Thu Jul 21 19:55:11 EDT 2022 % Result : Unsatisfiable 0.12s 0.41s % Output : Refutation 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SYO633-1 : TPTP v8.1.0. Released v7.1.0. % 0.12/0.13 % Command : run_spass %d %s % 0.12/0.34 % Computer : n021.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Fri Jul 8 16:01:05 EDT 2022 % 0.12/0.34 % CPUTime : % 0.12/0.41 % 0.12/0.41 SPASS V 3.9 % 0.12/0.41 SPASS beiseite: Proof found. % 0.12/0.41 % SZS status Theorem % 0.12/0.41 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.12/0.41 SPASS derived 1 clauses, backtracked 0 clauses, performed 0 splits and kept 13 clauses. % 0.12/0.41 SPASS allocated 63120 KBytes. % 0.12/0.41 SPASS spent 0:00:00.06 on the problem. % 0.12/0.41 0:00:00.04 for the input. % 0.12/0.41 0:00:00.00 for the FLOTTER CNF translation. % 0.12/0.41 0:00:00.00 for inferences. % 0.12/0.41 0:00:00.00 for the backtracking. % 0.12/0.41 0:00:00.00 for the reduction. % 0.12/0.41 % 0.12/0.41 % 0.12/0.41 Here is a proof with depth 0, length 14 : % 0.12/0.41 % SZS output start Refutation % 0.12/0.41 3[0:Inp] || E(f(u),s(s(0)))* E(f(v),s(s(s(s(0)))))* E(f(w),s(s(s(0))))* E(f(x),s(0))* E(f(y),0)* E(f(z),s(s(s(s(s(0))))))* -> . % 0.12/0.41 4[0:Inp] || -> E(f(u),s(s(s(s(0)))))*. % 0.12/0.41 5[0:Inp] || -> E(f(u),s(s(s(s(s(0))))))*. % 0.12/0.41 7[0:Inp] || E(f(u),s(s(0)))* E(f(v),s(s(s(s(0)))))* E(f(w),s(s(s(0))))* E(f(x),s(0))* E(f(y),s(s(s(s(s(0))))))* -> E(f(AP(s(s(s(s(s(s(0)))))),z)),0)*. % 0.12/0.41 9[0:Inp] || E(f(u),s(s(s(s(0)))))* E(f(v),s(s(s(s(s(0))))))* E(f(w),s(s(s(0))))* E(f(x),s(s(0)))* -> E(f(AP(s(s(s(s(s(s(0)))))),y)),s(0))*. % 0.12/0.41 10[0:Inp] || E(f(u),s(s(s(s(0)))))* E(f(v),s(s(s(s(s(0))))))* -> E(f(v),s(s(s(0)))). % 0.12/0.41 12[0:Inp] || E(f(u),s(s(s(s(0)))))* E(f(v),s(s(s(s(s(0))))))* E(f(w),s(s(s(0))))* -> E(f(AP(s(s(s(s(s(s(0)))))),x)),s(s(0)))*. % 0.12/0.41 14[0:MRR:10.0,10.1,4.0,5.0] || -> E(f(u),s(s(s(0))))*. % 0.12/0.41 16[0:MRR:12.0,12.1,12.2,4.0,5.0,14.0] || -> E(f(AP(s(s(s(s(s(s(0)))))),u)),s(s(0)))*. % 0.12/0.41 18[0:MRR:3.1,3.2,3.5,4.0,14.0,5.0] || E(f(u),s(s(0)))* E(f(v),s(0))* E(f(w),0)* -> . % 0.12/0.41 19[0:MRR:9.0,9.1,9.2,4.0,5.0,14.0] || E(f(u),s(s(0)))* -> E(f(AP(s(s(s(s(s(s(0)))))),v)),s(0))*. % 0.12/0.41 21[0:MRR:7.1,7.2,7.4,7.5,4.0,14.0,5.0,18.2] || E(f(u),s(0))* E(f(v),s(s(0)))* -> . % 0.12/0.41 22[0:MRR:19.1,21.1] || E(f(u),s(s(0)))* -> . % 0.12/0.41 23[0:UnC:22.0,16.0] || -> . % 0.12/0.41 % SZS output end Refutation % 0.12/0.41 Formulae used in the proof : clause_5_03 clause_6_04 clause_8_05 clause_2_07 clause_12_09 clause_1_10 clause_4_12 % 0.12/0.41 %------------------------------------------------------------------------------