%------------------------------------------------------------------------------ % File : Metis---2.4 % Problem : KRS052+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : metis --show proof --show saturation %s % Computer : n019.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 03:18:33 EDT 2022 % Result : Satisfiable 0.18s 0.46s % Output : Saturation 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.11 % Problem : KRS052+1 : TPTP v8.1.0. Released v3.1.0. % 0.09/0.12 % Command : metis --show proof --show saturation %s % 0.11/0.33 % Computer : n019.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Tue Jun 7 09:31:10 EDT 2022 % 0.11/0.33 % CPUTime : % 0.11/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % 0.18/0.46 % SZS status Satisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.18/0.46 % 0.18/0.46 SZS output start Saturation for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.18/0.46 |- ~cowlNothing $X % 0.18/0.46 |- cowlThing $X % 0.18/0.46 |- ~xsd_integer $X \/ ~xsd_string $X % 0.18/0.46 |- xsd_integer $X \/ xsd_string $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y0_1 $X = skolemFOFtoCNF_Y1_1 $X) \/ ~ccardinality_N $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y0_1 $X = skolemFOFtoCNF_Y2_1 $X) \/ ~ccardinality_N $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y1_1 $X = skolemFOFtoCNF_Y2_1 $X) \/ ~ccardinality_N $X % 0.18/0.46 |- ~ccardinality_N $X \/ rinvQ_1_to_M $X (skolemFOFtoCNF_Y0_1 $X) % 0.18/0.46 |- ~ccardinality_N $X \/ rinvQ_1_to_M $X (skolemFOFtoCNF_Y1_1 $X) % 0.18/0.46 |- ~ccardinality_N $X \/ rinvQ_1_to_M $X (skolemFOFtoCNF_Y2_1 $X) % 0.18/0.46 |- ~(skolemFOFtoCNF_Y0 $X = skolemFOFtoCNF_Y1 $X) \/ % 0.18/0.46 ~rinvQ_1_to_M $X $Y0 \/ ~rinvQ_1_to_M $X $Y1 \/ ~rinvQ_1_to_M $X $Y2 \/ % 0.18/0.46 $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y1 = $Y2 \/ ccardinality_N $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y0 $X = skolemFOFtoCNF_Y2 $X) \/ % 0.18/0.46 ~rinvQ_1_to_M $X $Y0 \/ ~rinvQ_1_to_M $X $Y1 \/ ~rinvQ_1_to_M $X $Y2 \/ % 0.18/0.46 $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y1 = $Y2 \/ ccardinality_N $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y0 $X = skolemFOFtoCNF_Y3 $X) \/ % 0.18/0.46 ~rinvQ_1_to_M $X $Y0 \/ ~rinvQ_1_to_M $X $Y1 \/ ~rinvQ_1_to_M $X $Y2 \/ % 0.18/0.46 $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y1 = $Y2 \/ ccardinality_N $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y1 $X = skolemFOFtoCNF_Y2 $X) \/ % 0.18/0.46 ~rinvQ_1_to_M $X $Y0 \/ ~rinvQ_1_to_M $X $Y1 \/ ~rinvQ_1_to_M $X $Y2 \/ % 0.18/0.46 $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y1 = $Y2 \/ ccardinality_N $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y1 $X = skolemFOFtoCNF_Y3 $X) \/ % 0.18/0.46 ~rinvQ_1_to_M $X $Y0 \/ ~rinvQ_1_to_M $X $Y1 \/ ~rinvQ_1_to_M $X $Y2 \/ % 0.18/0.46 $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y1 = $Y2 \/ ccardinality_N $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y2 $X = skolemFOFtoCNF_Y3 $X) \/ % 0.18/0.46 ~rinvQ_1_to_M $X $Y0 \/ ~rinvQ_1_to_M $X $Y1 \/ ~rinvQ_1_to_M $X $Y2 \/ % 0.18/0.46 $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y1 = $Y2 \/ ccardinality_N $X % 0.18/0.46 |- ~rinvQ_1_to_M $X $Y0 \/ ~rinvQ_1_to_M $X $Y1 \/ ~rinvQ_1_to_M $X $Y2 \/ % 0.18/0.46 $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y1 = $Y2 \/ ccardinality_N $X \/ % 0.18/0.46 rinvQ_1_to_M $X (skolemFOFtoCNF_Y0 $X) % 0.18/0.46 |- ~rinvQ_1_to_M $X $Y0 \/ ~rinvQ_1_to_M $X $Y1 \/ ~rinvQ_1_to_M $X $Y2 \/ % 0.18/0.46 $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y1 = $Y2 \/ ccardinality_N $X \/ % 0.18/0.46 rinvQ_1_to_M $X (skolemFOFtoCNF_Y1 $X) % 0.18/0.46 |- ~rinvQ_1_to_M $X $Y0 \/ ~rinvQ_1_to_M $X $Y1 \/ ~rinvQ_1_to_M $X $Y2 \/ % 0.18/0.46 $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y1 = $Y2 \/ ccardinality_N $X \/ % 0.18/0.46 rinvQ_1_to_M $X (skolemFOFtoCNF_Y2 $X) % 0.18/0.46 |- ~rinvQ_1_to_M $X $Y0 \/ ~rinvQ_1_to_M $X $Y1 \/ ~rinvQ_1_to_M $X $Y2 \/ % 0.18/0.46 $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y1 = $Y2 \/ ccardinality_N $X \/ % 0.18/0.46 rinvQ_1_to_M $X (skolemFOFtoCNF_Y3 $X) % 0.18/0.46 |- ~ccardinality_N $X \/ ~rinvQ_1_to_M $X $Y0 \/ ~rinvQ_1_to_M $X $Y1 \/ % 0.18/0.46 ~rinvQ_1_to_M $X $Y2 \/ ~rinvQ_1_to_M $X $Y3 \/ $Y0 = $Y1 \/ % 0.18/0.46 $Y0 = $Y2 \/ $Y0 = $Y3 \/ $Y1 = $Y2 \/ $Y1 = $Y3 \/ $Y2 = $Y3 % 0.18/0.46 |- ~ccardinality_N $X \/ cinfinite (skolemFOFtoCNF_Y $X) % 0.18/0.46 |- ~ccardinality_N $X \/ rp_N_to_1 $X (skolemFOFtoCNF_Y $X) % 0.18/0.46 |- ~ccardinality_N_times_M $X \/ ccardinality_N (skolemFOFtoCNF_Y_1 $X) % 0.18/0.46 |- ~ccardinality_N_times_M $X \/ rq_M_to_1 $X (skolemFOFtoCNF_Y_1 $X) % 0.18/0.46 |- ~ccardinality_N_times_M $X \/ cinfinite (skolemFOFtoCNF_Y_2 $X) % 0.18/0.46 |- ~ccardinality_N_times_M $X \/ % 0.18/0.46 rr_N_times_M_to_1 $X (skolemFOFtoCNF_Y_2 $X) % 0.18/0.46 |- ~(skolemFOFtoCNF_Y0_3 $X = skolemFOFtoCNF_Y1_3 $X) \/ ~cinfinite $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y0_3 $X = skolemFOFtoCNF_Y2_3 $X) \/ ~cinfinite $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y0_3 $X = skolemFOFtoCNF_Y3_2 $X) \/ ~cinfinite $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y0_3 $X = skolemFOFtoCNF_Y4_1 $X) \/ ~cinfinite $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y1_3 $X = skolemFOFtoCNF_Y2_3 $X) \/ ~cinfinite $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y1_3 $X = skolemFOFtoCNF_Y3_2 $X) \/ ~cinfinite $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y1_3 $X = skolemFOFtoCNF_Y4_1 $X) \/ ~cinfinite $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y2_3 $X = skolemFOFtoCNF_Y3_2 $X) \/ ~cinfinite $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y2_3 $X = skolemFOFtoCNF_Y4_1 $X) \/ ~cinfinite $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y3_2 $X = skolemFOFtoCNF_Y4_1 $X) \/ ~cinfinite $X % 0.18/0.46 |- ~cinfinite $X \/ rinvR_N_times_M_to_1 $X (skolemFOFtoCNF_Y0_3 $X) % 0.18/0.46 |- ~cinfinite $X \/ rinvR_N_times_M_to_1 $X (skolemFOFtoCNF_Y1_3 $X) % 0.18/0.46 |- ~cinfinite $X \/ rinvR_N_times_M_to_1 $X (skolemFOFtoCNF_Y2_3 $X) % 0.18/0.46 |- ~cinfinite $X \/ rinvR_N_times_M_to_1 $X (skolemFOFtoCNF_Y3_2 $X) % 0.18/0.46 |- ~cinfinite $X \/ rinvR_N_times_M_to_1 $X (skolemFOFtoCNF_Y4_1 $X) % 0.18/0.46 |- ~(skolemFOFtoCNF_Y0_2 $X = skolemFOFtoCNF_Y1_2 $X) \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y0 \/ ~rinvR_N_times_M_to_1 $X $Y1 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y2 \/ ~rinvR_N_times_M_to_1 $X $Y3 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y4 \/ $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y0 = $Y3 \/ % 0.18/0.46 $Y0 = $Y4 \/ $Y1 = $Y2 \/ $Y1 = $Y3 \/ $Y1 = $Y4 \/ $Y2 = $Y3 \/ % 0.18/0.46 $Y2 = $Y4 \/ $Y3 = $Y4 \/ cinfinite $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y0_2 $X = skolemFOFtoCNF_Y2_2 $X) \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y0 \/ ~rinvR_N_times_M_to_1 $X $Y1 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y2 \/ ~rinvR_N_times_M_to_1 $X $Y3 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y4 \/ $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y0 = $Y3 \/ % 0.18/0.46 $Y0 = $Y4 \/ $Y1 = $Y2 \/ $Y1 = $Y3 \/ $Y1 = $Y4 \/ $Y2 = $Y3 \/ % 0.18/0.46 $Y2 = $Y4 \/ $Y3 = $Y4 \/ cinfinite $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y0_2 $X = skolemFOFtoCNF_Y3_1 $X) \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y0 \/ ~rinvR_N_times_M_to_1 $X $Y1 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y2 \/ ~rinvR_N_times_M_to_1 $X $Y3 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y4 \/ $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y0 = $Y3 \/ % 0.18/0.46 $Y0 = $Y4 \/ $Y1 = $Y2 \/ $Y1 = $Y3 \/ $Y1 = $Y4 \/ $Y2 = $Y3 \/ % 0.18/0.46 $Y2 = $Y4 \/ $Y3 = $Y4 \/ cinfinite $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y0_2 $X = skolemFOFtoCNF_Y4 $X) \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y0 \/ ~rinvR_N_times_M_to_1 $X $Y1 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y2 \/ ~rinvR_N_times_M_to_1 $X $Y3 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y4 \/ $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y0 = $Y3 \/ % 0.18/0.46 $Y0 = $Y4 \/ $Y1 = $Y2 \/ $Y1 = $Y3 \/ $Y1 = $Y4 \/ $Y2 = $Y3 \/ % 0.18/0.46 $Y2 = $Y4 \/ $Y3 = $Y4 \/ cinfinite $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y0_2 $X = skolemFOFtoCNF_Y5 $X) \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y0 \/ ~rinvR_N_times_M_to_1 $X $Y1 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y2 \/ ~rinvR_N_times_M_to_1 $X $Y3 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y4 \/ $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y0 = $Y3 \/ % 0.18/0.46 $Y0 = $Y4 \/ $Y1 = $Y2 \/ $Y1 = $Y3 \/ $Y1 = $Y4 \/ $Y2 = $Y3 \/ % 0.18/0.46 $Y2 = $Y4 \/ $Y3 = $Y4 \/ cinfinite $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y1_2 $X = skolemFOFtoCNF_Y2_2 $X) \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y0 \/ ~rinvR_N_times_M_to_1 $X $Y1 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y2 \/ ~rinvR_N_times_M_to_1 $X $Y3 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y4 \/ $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y0 = $Y3 \/ % 0.18/0.46 $Y0 = $Y4 \/ $Y1 = $Y2 \/ $Y1 = $Y3 \/ $Y1 = $Y4 \/ $Y2 = $Y3 \/ % 0.18/0.46 $Y2 = $Y4 \/ $Y3 = $Y4 \/ cinfinite $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y1_2 $X = skolemFOFtoCNF_Y3_1 $X) \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y0 \/ ~rinvR_N_times_M_to_1 $X $Y1 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y2 \/ ~rinvR_N_times_M_to_1 $X $Y3 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y4 \/ $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y0 = $Y3 \/ % 0.18/0.46 $Y0 = $Y4 \/ $Y1 = $Y2 \/ $Y1 = $Y3 \/ $Y1 = $Y4 \/ $Y2 = $Y3 \/ % 0.18/0.46 $Y2 = $Y4 \/ $Y3 = $Y4 \/ cinfinite $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y1_2 $X = skolemFOFtoCNF_Y4 $X) \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y0 \/ ~rinvR_N_times_M_to_1 $X $Y1 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y2 \/ ~rinvR_N_times_M_to_1 $X $Y3 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y4 \/ $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y0 = $Y3 \/ % 0.18/0.46 $Y0 = $Y4 \/ $Y1 = $Y2 \/ $Y1 = $Y3 \/ $Y1 = $Y4 \/ $Y2 = $Y3 \/ % 0.18/0.46 $Y2 = $Y4 \/ $Y3 = $Y4 \/ cinfinite $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y1_2 $X = skolemFOFtoCNF_Y5 $X) \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y0 \/ ~rinvR_N_times_M_to_1 $X $Y1 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y2 \/ ~rinvR_N_times_M_to_1 $X $Y3 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y4 \/ $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y0 = $Y3 \/ % 0.18/0.46 $Y0 = $Y4 \/ $Y1 = $Y2 \/ $Y1 = $Y3 \/ $Y1 = $Y4 \/ $Y2 = $Y3 \/ % 0.18/0.46 $Y2 = $Y4 \/ $Y3 = $Y4 \/ cinfinite $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y2_2 $X = skolemFOFtoCNF_Y3_1 $X) \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y0 \/ ~rinvR_N_times_M_to_1 $X $Y1 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y2 \/ ~rinvR_N_times_M_to_1 $X $Y3 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y4 \/ $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y0 = $Y3 \/ % 0.18/0.46 $Y0 = $Y4 \/ $Y1 = $Y2 \/ $Y1 = $Y3 \/ $Y1 = $Y4 \/ $Y2 = $Y3 \/ % 0.18/0.46 $Y2 = $Y4 \/ $Y3 = $Y4 \/ cinfinite $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y2_2 $X = skolemFOFtoCNF_Y4 $X) \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y0 \/ ~rinvR_N_times_M_to_1 $X $Y1 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y2 \/ ~rinvR_N_times_M_to_1 $X $Y3 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y4 \/ $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y0 = $Y3 \/ % 0.18/0.46 $Y0 = $Y4 \/ $Y1 = $Y2 \/ $Y1 = $Y3 \/ $Y1 = $Y4 \/ $Y2 = $Y3 \/ % 0.18/0.46 $Y2 = $Y4 \/ $Y3 = $Y4 \/ cinfinite $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y2_2 $X = skolemFOFtoCNF_Y5 $X) \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y0 \/ ~rinvR_N_times_M_to_1 $X $Y1 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y2 \/ ~rinvR_N_times_M_to_1 $X $Y3 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y4 \/ $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y0 = $Y3 \/ % 0.18/0.46 $Y0 = $Y4 \/ $Y1 = $Y2 \/ $Y1 = $Y3 \/ $Y1 = $Y4 \/ $Y2 = $Y3 \/ % 0.18/0.46 $Y2 = $Y4 \/ $Y3 = $Y4 \/ cinfinite $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y3_1 $X = skolemFOFtoCNF_Y4 $X) \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y0 \/ ~rinvR_N_times_M_to_1 $X $Y1 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y2 \/ ~rinvR_N_times_M_to_1 $X $Y3 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y4 \/ $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y0 = $Y3 \/ % 0.18/0.46 $Y0 = $Y4 \/ $Y1 = $Y2 \/ $Y1 = $Y3 \/ $Y1 = $Y4 \/ $Y2 = $Y3 \/ % 0.18/0.46 $Y2 = $Y4 \/ $Y3 = $Y4 \/ cinfinite $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y3_1 $X = skolemFOFtoCNF_Y5 $X) \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y0 \/ ~rinvR_N_times_M_to_1 $X $Y1 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y2 \/ ~rinvR_N_times_M_to_1 $X $Y3 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y4 \/ $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y0 = $Y3 \/ % 0.18/0.46 $Y0 = $Y4 \/ $Y1 = $Y2 \/ $Y1 = $Y3 \/ $Y1 = $Y4 \/ $Y2 = $Y3 \/ % 0.18/0.46 $Y2 = $Y4 \/ $Y3 = $Y4 \/ cinfinite $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y4 $X = skolemFOFtoCNF_Y5 $X) \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y0 \/ ~rinvR_N_times_M_to_1 $X $Y1 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y2 \/ ~rinvR_N_times_M_to_1 $X $Y3 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y4 \/ $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y0 = $Y3 \/ % 0.18/0.46 $Y0 = $Y4 \/ $Y1 = $Y2 \/ $Y1 = $Y3 \/ $Y1 = $Y4 \/ $Y2 = $Y3 \/ % 0.18/0.46 $Y2 = $Y4 \/ $Y3 = $Y4 \/ cinfinite $X % 0.18/0.46 |- ~rinvR_N_times_M_to_1 $X $Y0 \/ ~rinvR_N_times_M_to_1 $X $Y1 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y2 \/ ~rinvR_N_times_M_to_1 $X $Y3 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y4 \/ $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y0 = $Y3 \/ % 0.18/0.46 $Y0 = $Y4 \/ $Y1 = $Y2 \/ $Y1 = $Y3 \/ $Y1 = $Y4 \/ $Y2 = $Y3 \/ % 0.18/0.46 $Y2 = $Y4 \/ $Y3 = $Y4 \/ cinfinite $X \/ % 0.18/0.46 rinvR_N_times_M_to_1 $X (skolemFOFtoCNF_Y0_2 $X) % 0.18/0.46 |- ~rinvR_N_times_M_to_1 $X $Y0 \/ ~rinvR_N_times_M_to_1 $X $Y1 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y2 \/ ~rinvR_N_times_M_to_1 $X $Y3 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y4 \/ $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y0 = $Y3 \/ % 0.18/0.46 $Y0 = $Y4 \/ $Y1 = $Y2 \/ $Y1 = $Y3 \/ $Y1 = $Y4 \/ $Y2 = $Y3 \/ % 0.18/0.46 $Y2 = $Y4 \/ $Y3 = $Y4 \/ cinfinite $X \/ % 0.18/0.46 rinvR_N_times_M_to_1 $X (skolemFOFtoCNF_Y1_2 $X) % 0.18/0.46 |- ~rinvR_N_times_M_to_1 $X $Y0 \/ ~rinvR_N_times_M_to_1 $X $Y1 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y2 \/ ~rinvR_N_times_M_to_1 $X $Y3 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y4 \/ $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y0 = $Y3 \/ % 0.18/0.46 $Y0 = $Y4 \/ $Y1 = $Y2 \/ $Y1 = $Y3 \/ $Y1 = $Y4 \/ $Y2 = $Y3 \/ % 0.18/0.46 $Y2 = $Y4 \/ $Y3 = $Y4 \/ cinfinite $X \/ % 0.18/0.46 rinvR_N_times_M_to_1 $X (skolemFOFtoCNF_Y2_2 $X) % 0.18/0.46 |- ~rinvR_N_times_M_to_1 $X $Y0 \/ ~rinvR_N_times_M_to_1 $X $Y1 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y2 \/ ~rinvR_N_times_M_to_1 $X $Y3 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y4 \/ $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y0 = $Y3 \/ % 0.18/0.46 $Y0 = $Y4 \/ $Y1 = $Y2 \/ $Y1 = $Y3 \/ $Y1 = $Y4 \/ $Y2 = $Y3 \/ % 0.18/0.46 $Y2 = $Y4 \/ $Y3 = $Y4 \/ cinfinite $X \/ % 0.18/0.46 rinvR_N_times_M_to_1 $X (skolemFOFtoCNF_Y3_1 $X) % 0.18/0.46 |- ~rinvR_N_times_M_to_1 $X $Y0 \/ ~rinvR_N_times_M_to_1 $X $Y1 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y2 \/ ~rinvR_N_times_M_to_1 $X $Y3 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y4 \/ $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y0 = $Y3 \/ % 0.18/0.46 $Y0 = $Y4 \/ $Y1 = $Y2 \/ $Y1 = $Y3 \/ $Y1 = $Y4 \/ $Y2 = $Y3 \/ % 0.18/0.46 $Y2 = $Y4 \/ $Y3 = $Y4 \/ cinfinite $X \/ % 0.18/0.46 rinvR_N_times_M_to_1 $X (skolemFOFtoCNF_Y4 $X) % 0.18/0.46 |- ~rinvR_N_times_M_to_1 $X $Y0 \/ ~rinvR_N_times_M_to_1 $X $Y1 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y2 \/ ~rinvR_N_times_M_to_1 $X $Y3 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y4 \/ $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y0 = $Y3 \/ % 0.18/0.46 $Y0 = $Y4 \/ $Y1 = $Y2 \/ $Y1 = $Y3 \/ $Y1 = $Y4 \/ $Y2 = $Y3 \/ % 0.18/0.46 $Y2 = $Y4 \/ $Y3 = $Y4 \/ cinfinite $X \/ % 0.18/0.46 rinvR_N_times_M_to_1 $X (skolemFOFtoCNF_Y5 $X) % 0.18/0.46 |- ~cinfinite $X \/ ~rinvR_N_times_M_to_1 $X $Y0 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y1 \/ ~rinvR_N_times_M_to_1 $X $Y2 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y3 \/ ~rinvR_N_times_M_to_1 $X $Y4 \/ % 0.18/0.46 ~rinvR_N_times_M_to_1 $X $Y5 \/ $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y0 = $Y3 \/ % 0.18/0.46 $Y0 = $Y4 \/ $Y0 = $Y5 \/ $Y1 = $Y2 \/ $Y1 = $Y3 \/ $Y1 = $Y4 \/ % 0.18/0.46 $Y1 = $Y5 \/ $Y2 = $Y3 \/ $Y2 = $Y4 \/ $Y2 = $Y5 \/ $Y3 = $Y4 \/ % 0.18/0.46 $Y3 = $Y5 \/ $Y4 = $Y5 % 0.18/0.46 |- ~(skolemFOFtoCNF_Y0_5 $X = skolemFOFtoCNF_Y1_5 $X) \/ ~cinfinite $X % 0.18/0.46 |- ~cinfinite $X \/ rinvP_1_to_N $X (skolemFOFtoCNF_Y0_5 $X) % 0.18/0.46 |- ~cinfinite $X \/ rinvP_1_to_N $X (skolemFOFtoCNF_Y1_5 $X) % 0.18/0.46 |- ~(skolemFOFtoCNF_Y0_4 $X = skolemFOFtoCNF_Y1_4 $X) \/ % 0.18/0.46 ~rinvP_1_to_N $X $Y0 \/ ~rinvP_1_to_N $X $Y1 \/ $Y0 = $Y1 \/ % 0.18/0.46 cinfinite $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y0_4 $X = skolemFOFtoCNF_Y2_4 $X) \/ % 0.18/0.46 ~rinvP_1_to_N $X $Y0 \/ ~rinvP_1_to_N $X $Y1 \/ $Y0 = $Y1 \/ % 0.18/0.46 cinfinite $X % 0.18/0.46 |- ~(skolemFOFtoCNF_Y1_4 $X = skolemFOFtoCNF_Y2_4 $X) \/ % 0.18/0.46 ~rinvP_1_to_N $X $Y0 \/ ~rinvP_1_to_N $X $Y1 \/ $Y0 = $Y1 \/ % 0.18/0.46 cinfinite $X % 0.18/0.46 |- ~rinvP_1_to_N $X $Y0 \/ ~rinvP_1_to_N $X $Y1 \/ $Y0 = $Y1 \/ % 0.18/0.46 cinfinite $X \/ rinvP_1_to_N $X (skolemFOFtoCNF_Y0_4 $X) % 0.18/0.46 |- ~rinvP_1_to_N $X $Y0 \/ ~rinvP_1_to_N $X $Y1 \/ $Y0 = $Y1 \/ % 0.18/0.46 cinfinite $X \/ rinvP_1_to_N $X (skolemFOFtoCNF_Y1_4 $X) % 0.18/0.46 |- ~rinvP_1_to_N $X $Y0 \/ ~rinvP_1_to_N $X $Y1 \/ $Y0 = $Y1 \/ % 0.18/0.46 cinfinite $X \/ rinvP_1_to_N $X (skolemFOFtoCNF_Y2_4 $X) % 0.18/0.46 |- ~cinfinite $X \/ ~rinvP_1_to_N $X $Y0 \/ ~rinvP_1_to_N $X $Y1 \/ % 0.18/0.46 ~rinvP_1_to_N $X $Y2 \/ $Y0 = $Y1 \/ $Y0 = $Y2 \/ $Y1 = $Y2 % 0.18/0.46 |- ~rp_N_to_1 $X $Y \/ ~rp_N_to_1 $X $Z \/ $Y = $Z % 0.18/0.46 |- ~rp_N_to_1 $X $Y \/ ccardinality_N $X % 0.18/0.46 |- ~rp_N_to_1 $X $Y \/ cinfinite $Y % 0.18/0.46 |- ~rinvP_1_to_N $Y $X \/ rp_N_to_1 $X $Y % 0.18/0.46 |- ~rp_N_to_1 $X $Y \/ rinvP_1_to_N $Y $X % 0.18/0.46 |- ~rq_M_to_1 $X $Y \/ ~rq_M_to_1 $X $Z \/ $Y = $Z % 0.18/0.46 |- ~rq_M_to_1 $X $Y \/ ccardinality_N_times_M $X % 0.18/0.46 |- ~rq_M_to_1 $X $Y \/ ccardinality_N $Y % 0.18/0.46 |- ~rinvQ_1_to_M $Y $X \/ rq_M_to_1 $X $Y % 0.18/0.46 |- ~rq_M_to_1 $X $Y \/ rinvQ_1_to_M $Y $X % 0.18/0.46 |- ~rr_N_times_M_to_1 $X $Y \/ ~rr_N_times_M_to_1 $X $Z \/ $Y = $Z % 0.18/0.46 |- ~rr_N_times_M_to_1 $X $Y \/ ccardinality_N_times_M $X % 0.18/0.46 |- ~rr_N_times_M_to_1 $X $Y \/ cinfinite $Y % 0.18/0.46 |- ~rinvR_N_times_M_to_1 $Y $X \/ rr_N_times_M_to_1 $X $Y % 0.18/0.46 |- ~rr_N_times_M_to_1 $X $Y \/ rinvR_N_times_M_to_1 $Y $X % 0.18/0.46 SZS output end Saturation for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.18/0.46 %------------------------------------------------------------------------------