%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : MSC009+1 : TPTP v9.0.0. Released v2.0.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n002.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 05:17:31 AM UTC 2025 % Result : Satisfiable 0.11s 0.39s % Output : Model 0.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : MSC009+1 : TPTP v9.0.0. Released v2.0.0. % 0.10/0.11 % Command : run_E %s %d THM % 0.11/0.32 % Computer : n002.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Thu Jun 19 23:34:46 EDT 2025 % 0.11/0.32 % CPUTime : % 0.11/0.39 % SZS status Satisfiable % 0.11/0.39 % SZS output start Model % 0.11/0.39 tff(tptp_fun__i_val_1_type, type, ( % 0.11/0.39 tptp_fun__i_val_1: $i)). % 0.11/0.39 tff(tptp_fun__i_val_5_type, type, ( % 0.11/0.39 tptp_fun__i_val_5: $i)). % 0.11/0.39 tff(tptp_fun__i_val_0_type, type, ( % 0.11/0.39 tptp_fun__i_val_0: $i)). % 0.11/0.39 tff(tptp_fun__i_val_12_type, type, ( % 0.11/0.39 tptp_fun__i_val_12: $i)). % 0.11/0.39 tff(tptp_fun__i_val_2_type, type, ( % 0.11/0.39 tptp_fun__i_val_2: $i)). % 0.11/0.39 tff(grandparent_type, type, ( % 0.11/0.39 grandparent: $i > $o)). % 0.11/0.39 tff(child_type, type, ( % 0.11/0.39 child: ( $i * $i ) > $o)). % 0.11/0.39 tff(father_type, type, ( % 0.11/0.39 father: $i > $o)). % 0.11/0.39 tff(tptp_fun__i_val_4_type, type, ( % 0.11/0.39 tptp_fun__i_val_4: $i)). % 0.11/0.39 tff(parent_type, type, ( % 0.11/0.39 parent: $i > $o)). % 0.11/0.39 tff(mother_type, type, ( % 0.11/0.39 mother: $i > $o)). % 0.11/0.39 tff(person_type, type, ( % 0.11/0.39 person: $i > $o)). % 0.11/0.39 tff(k!22_type, type, ( % 0.11/0.39 k!22: $i > $i)). % 0.11/0.39 tff(tptp_fun__i_val_8_type, type, ( % 0.11/0.39 tptp_fun__i_val_8: $i)). % 0.11/0.39 tff(tptp_fun__i_val_6_type, type, ( % 0.11/0.39 tptp_fun__i_val_6: $i)). % 0.11/0.39 tff(tptp_fun__i_val_3_type, type, ( % 0.11/0.39 tptp_fun__i_val_3: $i)). % 0.11/0.39 tff(tptp_fun__i_val_14_type, type, ( % 0.11/0.39 tptp_fun__i_val_14: $i)). % 0.11/0.39 tff(tptp_fun__i_val_13_type, type, ( % 0.11/0.39 tptp_fun__i_val_13: $i)). % 0.11/0.39 tff(tptp_fun__i_val_15_type, type, ( % 0.11/0.39 tptp_fun__i_val_15: $i)). % 0.11/0.39 tff(sex_type, type, ( % 0.11/0.39 sex: ( $i * $i ) > $o)). % 0.11/0.39 tff(male_type, type, ( % 0.11/0.39 male: $i > $o)). % 0.11/0.39 tff(parent_with_sons_only_type, type, ( % 0.11/0.39 parent_with_sons_only: $i > $o)). % 0.11/0.39 tff(tptp_fun__i_val_11_type, type, ( % 0.11/0.39 tptp_fun__i_val_11: $i)). % 0.11/0.39 tff(tptp_fun__i_val_18_type, type, ( % 0.11/0.39 tptp_fun__i_val_18: $i)). % 0.11/0.39 tff(tptp_fun__i_val_10_type, type, ( % 0.11/0.39 tptp_fun__i_val_10: $i)). % 0.11/0.39 tff(tptp_fun__i_val_7_type, type, ( % 0.11/0.39 tptp_fun__i_val_7: $i)). % 0.11/0.39 tff(tptp_fun__i_val_17_type, type, ( % 0.11/0.39 tptp_fun__i_val_17: $i)). % 0.11/0.39 tff(tptp_fun__i_val_9_type, type, ( % 0.11/0.39 tptp_fun__i_val_9: $i)). % 0.11/0.39 tff(tptp_fun__i_val_16_type, type, ( % 0.11/0.39 tptp_fun__i_val_16: $i)). % 0.11/0.39 tff(female_type, type, ( % 0.11/0.39 female: $i > $o)). % 0.11/0.39 tff(formula1, axiom, % 0.11/0.39 ![X0: $i] : (grandparent(X0) <=> (((X0 = $i!val!2) & (~(X0 = $i!val!12)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X0 = $i!val!0) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1)))))). % 0.11/0.39 tff(formula2, axiom, % 0.11/0.39 ![X0: $i, X1: $i] : (child(X0, X1) <=> (((~(X1 = $i!val!2)) & (~(X1 = $i!val!12)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!12) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!2) & (~(X1 = $i!val!12)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!5) & (~(X0 = $i!val!1))) | ((X1 = $i!val!0) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!1)) | ((X1 = $i!val!2) & (~(X1 = $i!val!12)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (~(X0 = $i!val!2)) & (~(X0 = $i!val!12)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((X1 = $i!val!0) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (X0 = $i!val!2) & (~(X0 = $i!val!12)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1)))))). % 0.11/0.39 tff(formula3, axiom, % 0.11/0.39 father($i!val!0) <=> $false). % 0.11/0.39 tff(formula4, axiom, % 0.11/0.39 father($i!val!2) <=> $true). % 0.11/0.39 tff(formula5, axiom, % 0.11/0.39 father($i!val!1) <=> $false). % 0.11/0.39 tff(formula6, axiom, % 0.11/0.39 father($i!val!5) <=> $false). % 0.11/0.39 tff(formula7, axiom, % 0.11/0.39 father($i!val!4) <=> $false). % 0.11/0.39 tff(formula8, axiom, % 0.11/0.39 father($i!val!12) <=> $false). % 0.11/0.39 tff(formula9, axiom, % 0.11/0.39 ![X0: $i] : ((~((($i!val!0 = X0)) | (($i!val!2 = X0)) | (($i!val!1 = X0)) | (($i!val!5 = X0)) | (($i!val!4 = X0)) | (($i!val!12 = X0)))) => (father(X0) <=> (~(mother(X0) | (~parent(X0))))))). % 0.11/0.39 tff(formula10, axiom, % 0.11/0.39 ![X0: $i] : (person(X0) <=> $true)). % 0.11/0.39 tff(formula11, axiom, % 0.11/0.39 ![X0: $i, X1: $i] : (sex(X0, X1) <=> ((~((X1 = $i!val!2) & (~(X1 = $i!val!12)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (k!22(X0) = $i!val!15))) & (~((X1 = $i!val!2) & (~(X1 = $i!val!12)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (k!22(X0) = $i!val!13))) & (~((X1 = $i!val!2) & (~(X1 = $i!val!12)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (k!22(X0) = $i!val!14))) & (~((X1 = $i!val!2) & (~(X1 = $i!val!12)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (k!22(X0) = $i!val!3))) & (~((X1 = $i!val!2) & (~(X1 = $i!val!12)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (k!22(X0) = $i!val!6))) & (~((X1 = $i!val!2) & (~(X1 = $i!val!12)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (k!22(X0) = $i!val!8))) & (~((X1 = $i!val!2) & (~(X1 = $i!val!12)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!1)) & (k!22(X0) = $i!val!0)))))). % 0.11/0.40 tff(formula12, axiom, % 0.11/0.40 ![X0: $i] : (male(X0) <=> ((~(k!22(X0) = $i!val!13)) & (~(k!22(X0) = $i!val!3)) & (~(k!22(X0) = $i!val!15)) & (~(k!22(X0) = $i!val!14)) & (~(k!22(X0) = $i!val!8)) & (~(k!22(X0) = $i!val!6)) & (~(k!22(X0) = $i!val!0))))). % 0.11/0.40 tff(formula13, axiom, % 0.11/0.40 ![X0: $i] : (parent_with_sons_only(X0) <=> ((~((X0 = $i!val!12) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1)))) & (~((X0 = $i!val!5) & (~(X0 = $i!val!1)))) & (~(X0 = $i!val!1))))). % 0.11/0.40 tff(formula14, axiom, % 0.11/0.40 k!22($i!val!11) = $i!val!11). % 0.11/0.40 tff(formula15, axiom, % 0.11/0.40 k!22($i!val!6) = $i!val!6). % 0.11/0.40 tff(formula16, axiom, % 0.11/0.40 k!22($i!val!18) = $i!val!18). % 0.11/0.40 tff(formula17, axiom, % 0.11/0.40 k!22($i!val!15) = $i!val!15). % 0.11/0.40 tff(formula18, axiom, % 0.11/0.40 k!22($i!val!14) = $i!val!14). % 0.11/0.40 tff(formula19, axiom, % 0.11/0.40 k!22($i!val!0) = $i!val!0). % 0.11/0.40 tff(formula20, axiom, % 0.11/0.40 k!22($i!val!10) = $i!val!10). % 0.11/0.40 tff(formula21, axiom, % 0.11/0.40 k!22($i!val!13) = $i!val!13). % 0.11/0.40 tff(formula22, axiom, % 0.11/0.40 k!22($i!val!7) = $i!val!7). % 0.11/0.40 tff(formula23, axiom, % 0.11/0.40 k!22($i!val!8) = $i!val!8). % 0.11/0.40 tff(formula24, axiom, % 0.11/0.40 k!22($i!val!17) = $i!val!17). % 0.11/0.40 tff(formula25, axiom, % 0.11/0.40 k!22($i!val!9) = $i!val!9). % 0.11/0.40 tff(formula26, axiom, % 0.11/0.40 k!22($i!val!3) = $i!val!3). % 0.11/0.40 tff(formula27, axiom, % 0.11/0.40 ![X0: $i] : ((~((($i!val!11 = X0)) | (($i!val!6 = X0)) | (($i!val!18 = X0)) | (($i!val!15 = X0)) | (($i!val!14 = X0)) | (($i!val!0 = X0)) | (($i!val!10 = X0)) | (($i!val!13 = X0)) | (($i!val!7 = X0)) | (($i!val!8 = X0)) | (($i!val!17 = X0)) | (($i!val!9 = X0)) | (($i!val!3 = X0)))) => (k!22(X0) = $i!val!16))). % 0.11/0.40 tff(formula28, axiom, % 0.11/0.40 ![X0: $i] : (parent(X0) <=> ((~((X0 = $i!val!12) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1)))) & (~((X0 = $i!val!5) & (~(X0 = $i!val!1)))) & (~(X0 = $i!val!1))))). % 0.11/0.40 tff(formula29, axiom, % 0.11/0.40 ![X0: $i] : (mother(X0) <=> (((X0 = $i!val!0) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1))) | ((~(X0 = $i!val!2)) & (~(X0 = $i!val!12)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!1)))))). % 0.11/0.40 tff(formula30, axiom, % 0.11/0.40 ![X0: $i] : (female(X0) <=> ((~(k!22(X0) = $i!val!18)) & (~(k!22(X0) = $i!val!17)) & (~(k!22(X0) = $i!val!16)) & (~(k!22(X0) = $i!val!11)) & (~(k!22(X0) = $i!val!10)) & (~(k!22(X0) = $i!val!9)) & (~(k!22(X0) = $i!val!7))))). % 0.11/0.40 % SZS output end Model % 0.11/0.40 % E exiting %------------------------------------------------------------------------------