%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SYN585-1 : TPTP v8.1.0. Released v2.5.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n022.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 12:23:02 EDT 2022 % Result : Unsatisfiable 0.62s 0.84s % Output : Refutation 0.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SYN585-1 : TPTP v8.1.0. Released v2.5.0. % 0.07/0.14 % Command : run_spass %d %s % 0.14/0.35 % Computer : n022.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Mon Jul 11 17:18:40 EDT 2022 % 0.14/0.35 % CPUTime : % 0.62/0.84 % 0.62/0.84 SPASS V 3.9 % 0.62/0.84 SPASS beiseite: Proof found. % 0.62/0.84 % SZS status Theorem % 0.62/0.84 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.62/0.84 SPASS derived 1677 clauses, backtracked 0 clauses, performed 0 splits and kept 1213 clauses. % 0.62/0.84 SPASS allocated 64413 KBytes. % 0.62/0.84 SPASS spent 0:00:00.47 on the problem. % 0.62/0.84 0:00:00.03 for the input. % 0.62/0.84 0:00:00.00 for the FLOTTER CNF translation. % 0.62/0.84 0:00:00.02 for inferences. % 0.62/0.84 0:00:00.00 for the backtracking. % 0.62/0.84 0:00:00.39 for the reduction. % 0.62/0.84 % 0.62/0.84 % 0.62/0.84 Here is a proof with depth 3, length 11 : % 0.62/0.84 % SZS output start Refutation % 0.62/0.84 2[0:Inp] || -> p11(u,u)*. % 0.62/0.84 6[0:Inp] || p2(c12,f3(c13))* -> . % 0.62/0.84 7[0:Inp] || -> p11(c18,f9(c12,c14))*r. % 0.62/0.84 12[0:Inp] || p11(c18,f9(c12,f8(c16,c14)))*r -> . % 0.62/0.84 13[0:Inp] || p11(u,v)*+ -> p11(u,f8(w,v))*. % 0.62/0.84 16[0:Inp] || p11(u,v)* p11(v,w)* -> p11(u,w)*. % 0.62/0.84 26[0:Inp] || p11(u,v)+ -> p2(w,f3(c13))* p11(f9(w,u),f9(w,v))*. % 0.62/0.84 121[0:Res:2.0,13.0] || -> p11(u,f8(v,u))*r. % 0.62/0.84 133[0:Res:121.0,26.0] || -> p2(u,f3(c13)) p11(f9(u,v),f9(u,f8(w,v)))*r. % 0.62/0.84 1741[0:NCh:16.2,16.1,133.1,12.0] || p11(c18,f9(c12,c14)) -> p2(c12,f3(c13))*. % 0.62/0.84 1743[0:MRR:1741.0,1741.1,7.0,6.0] || -> . % 0.62/0.84 % SZS output end Refutation % 0.62/0.84 Formulae used in the proof : p11_2 not_p2_6 p11_7 not_p11_12 p11_13 p11_16 p2_26 % 0.62/0.84 %------------------------------------------------------------------------------