%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : MSC014+1 : TPTP v9.0.0. Released v3.2.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n001.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 : 300s % DateTime : Sat Jun 21 05:17:32 AM UTC 2025 % Result : Satisfiable 0.19s 0.45s % Output : Model 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : MSC014+1 : TPTP v9.0.0. Released v3.2.0. % 0.06/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n001.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Thu Jun 19 23:37:34 EDT 2025 % 0.12/0.33 % CPUTime : % 0.19/0.45 % SZS status Satisfiable % 0.19/0.45 % SZS output start Model % 0.19/0.45 tff(tptp_fun__i_val_0_type, type, ( % 0.19/0.45 tptp_fun__i_val_0: $i)). % 0.19/0.45 tff(n0_type, type, ( % 0.19/0.45 n0: $i)). % 0.19/0.45 tff(tptp_fun__i_val_1_type, type, ( % 0.19/0.45 tptp_fun__i_val_1: $i)). % 0.19/0.45 tff(n1_type, type, ( % 0.19/0.45 n1: $i)). % 0.19/0.45 tff(tptp_fun__i_val_15_type, type, ( % 0.19/0.45 tptp_fun__i_val_15: $i)). % 0.19/0.45 tff(tptp_fun__i_val_14_type, type, ( % 0.19/0.45 tptp_fun__i_val_14: $i)). % 0.19/0.45 tff(tptp_fun__i_val_6_type, type, ( % 0.19/0.45 tptp_fun__i_val_6: $i)). % 0.19/0.45 tff(tptp_fun__i_val_9_type, type, ( % 0.19/0.45 tptp_fun__i_val_9: $i)). % 0.19/0.45 tff(tptp_fun__i_val_3_type, type, ( % 0.19/0.45 tptp_fun__i_val_3: $i)). % 0.19/0.45 tff(tptp_fun__i_val_2_type, type, ( % 0.19/0.45 tptp_fun__i_val_2: $i)). % 0.19/0.45 tff(tptp_fun__i_val_17_type, type, ( % 0.19/0.45 tptp_fun__i_val_17: $i)). % 0.19/0.45 tff(tptp_fun__i_val_5_type, type, ( % 0.19/0.45 tptp_fun__i_val_5: $i)). % 0.19/0.45 tff(tptp_fun__i_val_7_type, type, ( % 0.19/0.45 tptp_fun__i_val_7: $i)). % 0.19/0.45 tff(tptp_fun__i_val_13_type, type, ( % 0.19/0.45 tptp_fun__i_val_13: $i)). % 0.19/0.45 tff(tptp_fun__i_val_4_type, type, ( % 0.19/0.45 tptp_fun__i_val_4: $i)). % 0.19/0.45 tff(tptp_fun__i_val_11_type, type, ( % 0.19/0.45 tptp_fun__i_val_11: $i)). % 0.19/0.45 tff(tptp_fun__i_val_16_type, type, ( % 0.19/0.45 tptp_fun__i_val_16: $i)). % 0.19/0.45 tff(tptp_fun__i_val_10_type, type, ( % 0.19/0.45 tptp_fun__i_val_10: $i)). % 0.19/0.45 tff(tptp_fun__i_val_12_type, type, ( % 0.19/0.45 tptp_fun__i_val_12: $i)). % 0.19/0.45 tff(f_type, type, ( % 0.19/0.45 f: ( $i * $i * $i * $i * $i ) > $o)). % 0.19/0.45 tff(equalish_type, type, ( % 0.19/0.45 equalish: ( $i * $i ) > $o)). % 0.19/0.45 tff(formula1, axiom, % 0.19/0.45 n0 = $i!val!0). % 0.19/0.45 tff(formula2, axiom, % 0.19/0.45 n1 = $i!val!1). % 0.19/0.45 tff(formula3, axiom, % 0.19/0.45 ![X0: $i, X1: $i, X2: $i, X3: $i, X4: $i] : (f(X0, X1, X2, X3, X4) <=> (((~(X4 = $i!val!1)) & (~(X3 = $i!val!1)) & (~(X2 = $i!val!1)) & (~(X1 = $i!val!1)) & (X0 = $i!val!2) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!15))) | ((~(X4 = $i!val!1)) & (X3 = $i!val!1) & (~(X2 = $i!val!1)) & (X1 = $i!val!1) & (X0 = $i!val!7) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!17)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!15))) | ((~(X4 = $i!val!1)) & (X3 = $i!val!1) & (X2 = $i!val!1) & (X1 = $i!val!1) & (X0 = $i!val!9) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!15))) | ((X4 = $i!val!1) & (X3 = $i!val!1) & (X2 = $i!val!1) & (X1 = $i!val!1) & (X0 = $i!val!17) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!15))) | ((X4 = $i!val!1) & (~(X3 = $i!val!1)) & (~(X2 = $i!val!1)) & (X1 = $i!val!1) & (X0 = $i!val!11) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!17)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!15))) | ((X4 = $i!val!1) & (X3 = $i!val!1) & (X2 = $i!val!1) & (~(X1 = $i!val!1)) & (X0 = $i!val!16) & (~(X0 = $i!val!11)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!17)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!15))) | ((X4 = $i!val!1) & (X3 = $i!val!1) & (~(X2 = $i!val!1)) & (~(X1 = $i!val!1)) & (X0 = $i!val!14) & (~(X0 = $i!val!15))) | ((X4 = $i!val!1) & (~(X3 = $i!val!1)) & (X2 = $i!val!1) & (X1 = $i!val!1) & (X0 = $i!val!13) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!17)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!15))) | ((X4 = $i!val!1) & (~(X3 = $i!val!1)) & (~(X2 = $i!val!1)) & (~(X1 = $i!val!1)) & (X0 = $i!val!10) & (~(X0 = $i!val!16)) & (~(X0 = $i!val!11)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!17)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!15))) | ((~(X4 = $i!val!1)) & (X3 = $i!val!1) & (~(X2 = $i!val!1)) & (~(X1 = $i!val!1)) & (X0 = $i!val!6) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!15))) | ((~(X4 = $i!val!1)) & (~(X3 = $i!val!1)) & (X2 = $i!val!1) & (~(X1 = $i!val!1)) & (X0 = $i!val!4) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!17)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!15))) | ((X4 = $i!val!1) & (X3 = $i!val!1) & (~(X2 = $i!val!1)) & (X1 = $i!val!1) & (X0 = $i!val!15)) | ((~(X4 = $i!val!1)) & (~(X3 = $i!val!1)) & (X2 = $i!val!1) & (X1 = $i!val!1) & (X0 = $i!val!5) & (~(X0 = $i!val!17)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!15))) | ((~(X4 = $i!val!1)) & (~(X3 = $i!val!1)) & (~(X2 = $i!val!1)) & (X1 = $i!val!1) & (X0 = $i!val!3) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!15))) | ((X4 = $i!val!1) & (~(X3 = $i!val!1)) & (X2 = $i!val!1) & (~(X1 = $i!val!1)) & (X0 = $i!val!12) & (~(X0 = $i!val!10)) & (~(X0 = $i!val!16)) & (~(X0 = $i!val!11)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!17)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!15))) | ((~(X4 = $i!val!1)) & (X3 = $i!val!1) & (X2 = $i!val!1) & (~(X1 = $i!val!1)) & (~(X0 = $i!val!12)) & (~(X0 = $i!val!10)) & (~(X0 = $i!val!16)) & (~(X0 = $i!val!11)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!13)) & (~(X0 = $i!val!7)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!17)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!15)))))). % 0.19/0.45 tff(formula4, axiom, % 0.19/0.45 ![X0: $i, X1: $i] : (equalish(X0, X1) <=> ((~((X1 = $i!val!1) & (~(X0 = $i!val!1)))) & (~((~(X1 = $i!val!1)) & (X0 = $i!val!1)))))). % 0.19/0.45 % SZS output end Model % 0.19/0.45 % E exiting %------------------------------------------------------------------------------