%------------------------------------------------------------------------------ % File : SPASS---3.9 % Problem : SYN621-1 : TPTP v8.1.0. Released v2.5.0. % Transfm : none % Format : tptp % Command : run_spass %d %s % Computer : n014.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 12:23:16 EDT 2022 % Result : Unsatisfiable 0.19s 0.48s % Output : Refutation 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN621-1 : TPTP v8.1.0. Released v2.5.0. % 0.03/0.12 % Command : run_spass %d %s % 0.13/0.34 % Computer : n014.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Tue Jul 12 03:10:34 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.48 % 0.19/0.48 SPASS V 3.9 % 0.19/0.48 SPASS beiseite: Proof found. % 0.19/0.48 % SZS status Theorem % 0.19/0.48 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p % 0.19/0.48 SPASS derived 317 clauses, backtracked 0 clauses, performed 0 splits and kept 223 clauses. % 0.19/0.48 SPASS allocated 63472 KBytes. % 0.19/0.48 SPASS spent 0:00:00.13 on the problem. % 0.19/0.48 0:00:00.04 for the input. % 0.19/0.48 0:00:00.00 for the FLOTTER CNF translation. % 0.19/0.48 0:00:00.01 for inferences. % 0.19/0.48 0:00:00.00 for the backtracking. % 0.19/0.48 0:00:00.06 for the reduction. % 0.19/0.48 % 0.19/0.48 % 0.19/0.48 Here is a proof with depth 1, length 11 : % 0.19/0.48 % SZS output start Refutation % 0.19/0.48 7[0:Inp] || p2(c23,f3(c24))* -> . % 0.19/0.48 18[0:Inp] || p21(u,v)* p21(v,w)* -> p21(u,w)*. % 0.19/0.48 28[0:Inp] || -> p2(u,f3(c24)) p22(f20(v,u,w,x),f14(f11(v,f12(u,w))))*. % 0.19/0.48 31[0:Inp] || p22(u,f14(f11(c25,f12(c23,c26))))*+ -> p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,u)))*. % 0.19/0.48 32[0:Inp] || p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24))))))*r -> . % 0.19/0.48 34[0:Inp] || -> p2(u,f3(c24)) p21(f5(f6(v,f20(w,u,x,v))),f15(f19(f11(w,f12(u,x)),v),f16(f3(f17(f18(c24))))))*. % 0.19/0.48 294[0:Res:28.1,31.0] || -> p2(c23,f3(c24)) p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,f20(c25,c23,c26,u))))*. % 0.19/0.48 295[0:MRR:294.0,7.0] || -> p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,f20(c25,c23,c26,u))))*. % 0.19/0.48 352[0:NCh:18.2,18.1,34.1,32.0] || p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,f20(c25,c23,c26,c27))))*l -> p2(c23,f3(c24)). % 0.19/0.48 353[0:MRR:352.1,7.0] || p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,f20(c25,c23,c26,c27))))*l -> . % 0.19/0.48 354[0:MRR:353.0,295.0] || -> . % 0.19/0.48 % SZS output end Refutation % 0.19/0.48 Formulae used in the proof : not_p2_7 p21_18 p2_28 p21_31 not_p21_32 p2_34 % 0.19/0.48 %------------------------------------------------------------------------------