%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SYN345+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n012.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 12:20:34 EDT 2022 % Result : Theorem 0.20s 0.45s % Output : Refutation 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SYN345+1 : TPTP v8.1.0. Released v2.0.0. % 0.07/0.14 % Command : run_spass %d %s % 0.14/0.35 % Computer : n012.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 18:40:13 EDT 2022 % 0.14/0.35 % CPUTime : % 0.20/0.45 % 0.20/0.45 SPASS V 3.9 % 0.20/0.45 SPASS beiseite: Proof found. % 0.20/0.45 % SZS status Theorem % 0.20/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.20/0.45 SPASS derived 6 clauses, backtracked 10 clauses, performed 2 splits and kept 17 clauses. % 0.20/0.45 SPASS allocated 85069 KBytes. % 0.20/0.45 SPASS spent 0:00:00.09 on the problem. % 0.20/0.45 0:00:00.04 for the input. % 0.20/0.45 0:00:00.03 for the FLOTTER CNF translation. % 0.20/0.45 0:00:00.00 for inferences. % 0.20/0.45 0:00:00.00 for the backtracking. % 0.20/0.45 0:00:00.00 for the reduction. % 0.20/0.45 % 0.20/0.45 % 0.20/0.45 Here is a proof with depth 1, length 22 : % 0.20/0.45 % SZS output start Refutation % 0.20/0.45 1[0:Inp] || -> big_f(u,v,skf1(v,u))*. % 0.20/0.45 2[0:Inp] || big_f(skc2,skc2,skc3)* -> big_f(skc2,skc3,skc3). % 0.20/0.45 3[0:Inp] || big_f(skc2,skc3,skc3) -> big_f(skc3,u,v)* big_f(skc2,skc2,skc3)*. % 0.20/0.45 4[0:Inp] || big_f(skc3,skc3,u)* -> big_f(skc2,skc2,skc3)* big_f(skc2,skc3,skc3). % 0.20/0.45 5[0:Inp] || big_f(skc2,skc2,skc3)* big_f(skc2,skc3,skc3) big_f(skc3,skc3,u)* -> . % 0.20/0.45 6[0:Inp] || big_f(u,skf1(v,u),skf1(v,u))* big_f(skc2,skc3,skc3) -> big_f(skc2,skc2,skc3). % 0.20/0.45 7[0:MRR:4.1,2.0] || big_f(skc3,skc3,u)*+ -> big_f(skc2,skc3,skc3)*. % 0.20/0.45 8[0:MRR:5.1,7.1] || big_f(skc3,skc3,u)* big_f(skc2,skc2,skc3)* -> . % 0.20/0.45 9[1:Spt:2.0] || big_f(skc2,skc2,skc3)* -> . % 0.20/0.45 10[1:MRR:3.2,9.0] || big_f(skc2,skc3,skc3)* -> big_f(skc3,u,v)*. % 0.20/0.45 11[1:MRR:6.2,9.0] || big_f(u,skf1(v,u),skf1(v,u))* big_f(skc2,skc3,skc3) -> . % 0.20/0.45 12[2:Spt:7.1] || -> big_f(skc2,skc3,skc3)*. % 0.20/0.45 13[2:MRR:10.0,12.0] || -> big_f(skc3,u,v)*. % 0.20/0.45 14[2:MRR:11.1,12.0] || big_f(u,skf1(v,u),skf1(v,u))* -> . % 0.20/0.45 15[2:UnC:14.0,13.0] || -> . % 0.20/0.45 16[2:Spt:15.0,7.1,12.0] || big_f(skc2,skc3,skc3)* -> . % 0.20/0.45 17[2:Spt:15.0,7.0] || big_f(skc3,skc3,u)* -> . % 0.20/0.45 18[2:UnC:17.0,1.0] || -> . % 0.20/0.45 19[1:Spt:18.0,2.0,9.0] || -> big_f(skc2,skc2,skc3)*. % 0.20/0.45 20[1:Spt:18.0,2.1] || -> big_f(skc2,skc3,skc3)*. % 0.20/0.45 21[1:MRR:8.1,19.0] || big_f(skc3,skc3,u)* -> . % 0.20/0.45 22[1:UnC:21.0,1.0] || -> . % 0.20/0.45 % SZS output end Refutation % 0.20/0.45 Formulae used in the proof : church_46_16_4 % 0.20/0.45 %------------------------------------------------------------------------------