%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : NLP241-1 : TPTP v9.0.0. Released v2.4.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n003.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 05:18:32 AM UTC 2025 % Result : Satisfiable 2.59s 2.79s % Output : Model 2.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NLP241-1 : TPTP v9.0.0. Released v2.4.0. % 0.07/0.12 % Command : run_E %s %d THM % 0.11/0.33 % Computer : n003.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 : 300 % 0.11/0.33 % DateTime : Thu Jun 19 23:55:54 EDT 2025 % 0.11/0.33 % CPUTime : % 2.59/2.79 % SZS status Satisfiable % 2.59/2.79 % SZS output start Model % 2.59/2.79 tff(tptp_fun__i_val_7_type, type, ( % 2.59/2.79 tptp_fun__i_val_7: $i)). % 2.59/2.79 tff(skc22_type, type, ( % 2.59/2.79 skc22: $i)). % 2.59/2.79 tff(tptp_fun__i_val_1_type, type, ( % 2.59/2.79 tptp_fun__i_val_1: $i)). % 2.59/2.79 tff(skc29_type, type, ( % 2.59/2.79 skc29: $i)). % 2.59/2.79 tff(tptp_fun__i_val_8_type, type, ( % 2.59/2.79 tptp_fun__i_val_8: $i)). % 2.59/2.79 tff(skc21_type, type, ( % 2.59/2.79 skc21: $i)). % 2.59/2.79 tff(tptp_fun__i_val_10_type, type, ( % 2.59/2.79 tptp_fun__i_val_10: $i)). % 2.59/2.79 tff(skc17_type, type, ( % 2.59/2.79 skc17: $i)). % 2.59/2.79 tff(tptp_fun__i_val_0_type, type, ( % 2.59/2.79 tptp_fun__i_val_0: $i)). % 2.59/2.79 tff(skc15_type, type, ( % 2.59/2.79 skc15: $i)). % 2.59/2.79 tff(tptp_fun__i_val_11_type, type, ( % 2.59/2.79 tptp_fun__i_val_11: $i)). % 2.59/2.79 tff(skc18_type, type, ( % 2.59/2.79 skc18: $i)). % 2.59/2.79 tff(tptp_fun__i_val_12_type, type, ( % 2.59/2.79 tptp_fun__i_val_12: $i)). % 2.59/2.79 tff(skc20_type, type, ( % 2.59/2.79 skc20: $i)). % 2.59/2.79 tff(tptp_fun__i_val_9_type, type, ( % 2.59/2.79 tptp_fun__i_val_9: $i)). % 2.59/2.79 tff(skc19_type, type, ( % 2.59/2.79 skc19: $i)). % 2.59/2.79 tff(tptp_fun__i_val_14_type, type, ( % 2.59/2.79 tptp_fun__i_val_14: $i)). % 2.59/2.79 tff(skc26_type, type, ( % 2.59/2.79 skc26: $i)). % 2.59/2.79 tff(tptp_fun__i_val_2_type, type, ( % 2.59/2.79 tptp_fun__i_val_2: $i)). % 2.59/2.79 tff(skc28_type, type, ( % 2.59/2.79 skc28: $i)). % 2.59/2.79 tff(tptp_fun__i_val_5_type, type, ( % 2.59/2.79 tptp_fun__i_val_5: $i)). % 2.59/2.79 tff(skc24_type, type, ( % 2.59/2.79 skc24: $i)). % 2.59/2.79 tff(tptp_fun__i_val_4_type, type, ( % 2.59/2.79 tptp_fun__i_val_4: $i)). % 2.59/2.79 tff(skc25_type, type, ( % 2.59/2.79 skc25: $i)). % 2.59/2.79 tff(tptp_fun__i_val_6_type, type, ( % 2.59/2.79 tptp_fun__i_val_6: $i)). % 2.59/2.79 tff(skc16_type, type, ( % 2.59/2.79 skc16: $i)). % 2.59/2.79 tff(tptp_fun__i_val_3_type, type, ( % 2.59/2.79 tptp_fun__i_val_3: $i)). % 2.59/2.79 tff(skc27_type, type, ( % 2.59/2.79 skc27: $i)). % 2.59/2.79 tff(tptp_fun__i_val_13_type, type, ( % 2.59/2.79 tptp_fun__i_val_13: $i)). % 2.59/2.79 tff(skc23_type, type, ( % 2.59/2.79 skc23: $i)). % 2.59/2.79 tff(actual_world_type, type, ( % 2.59/2.79 actual_world: $i > $o)). % 2.59/2.79 tff(tptp_fun__i_val_18_type, type, ( % 2.59/2.79 tptp_fun__i_val_18: $i)). % 2.59/2.79 tff(k!4416_type, type, ( % 2.59/2.79 k!4416: $i > $i)). % 2.59/2.79 tff(tptp_fun__i_val_17_type, type, ( % 2.59/2.79 tptp_fun__i_val_17: $i)). % 2.59/2.79 tff(tptp_fun__i_val_16_type, type, ( % 2.59/2.79 tptp_fun__i_val_16: $i)). % 2.59/2.79 tff(tptp_fun__i_val_15_type, type, ( % 2.59/2.79 tptp_fun__i_val_15: $i)). % 2.59/2.79 tff(smoke_type, type, ( % 2.59/2.79 smoke: ( $i * $i ) > $o)). % 2.59/2.79 tff(state_type, type, ( % 2.59/2.79 state: ( $i * $i ) > $o)). % 2.59/2.79 tff(thing_type, type, ( % 2.59/2.79 thing: ( $i * $i ) > $o)). % 2.59/2.79 tff(relname_type, type, ( % 2.59/2.79 relname: ( $i * $i ) > $o)). % 2.59/2.79 tff(abstraction_type, type, ( % 2.59/2.79 abstraction: ( $i * $i ) > $o)). % 2.59/2.79 tff(vincent_forename_type, type, ( % 2.59/2.79 vincent_forename: ( $i * $i ) > $o)). % 2.59/2.79 tff(agent_type, type, ( % 2.59/2.79 agent: ( $i * $i * $i ) > $o)). % 2.59/2.79 tff(living_type, type, ( % 2.59/2.79 living: ( $i * $i ) > $o)). % 2.59/2.79 tff(event_type, type, ( % 2.59/2.79 event: ( $i * $i ) > $o)). % 2.59/2.79 tff(human_type, type, ( % 2.59/2.79 human: ( $i * $i ) > $o)). % 2.59/2.79 tff(existent_type, type, ( % 2.59/2.79 existent: ( $i * $i ) > $o)). % 2.59/2.79 tff(animate_type, type, ( % 2.59/2.79 animate: ( $i * $i ) > $o)). % 2.59/2.79 tff(proposition_type, type, ( % 2.59/2.79 proposition: ( $i * $i ) > $o)). % 2.59/2.79 tff(organism_type, type, ( % 2.59/2.79 organism: ( $i * $i ) > $o)). % 2.59/2.79 tff(nonhuman_type, type, ( % 2.59/2.79 nonhuman: ( $i * $i ) > $o)). % 2.59/2.79 tff(man_type, type, ( % 2.59/2.79 man: ( $i * $i ) > $o)). % 2.59/2.79 tff(eventuality_type, type, ( % 2.59/2.79 eventuality: ( $i * $i ) > $o)). % 2.59/2.79 tff(impartial_type, type, ( % 2.59/2.79 impartial: ( $i * $i ) > $o)). % 2.59/2.79 tff(relation_type, type, ( % 2.59/2.79 relation: ( $i * $i ) > $o)). % 2.59/2.79 tff(entity_type, type, ( % 2.59/2.79 entity: ( $i * $i ) > $o)). % 2.59/2.79 tff(male_type, type, ( % 2.59/2.79 male: ( $i * $i ) > $o)). % 2.59/2.79 tff(think_believe_consider_type, type, ( % 2.59/2.79 think_believe_consider: ( $i * $i ) > $o)). % 2.59/2.79 tff(accessible_world_type, type, ( % 2.59/2.79 accessible_world: ( $i * $i ) > $o)). % 2.59/2.79 tff(specific_type, type, ( % 2.59/2.79 specific: ( $i * $i ) > $o)). % 2.59/2.79 tff(forename_type, type, ( % 2.59/2.79 forename: ( $i * $i ) > $o)). % 2.59/2.79 tff(theme_type, type, ( % 2.59/2.79 theme: ( $i * $i * $i ) > $o)). % 2.59/2.79 tff(jules_forename_type, type, ( % 2.59/2.79 jules_forename: ( $i * $i ) > $o)). % 2.59/2.79 tff(be_type, type, ( % 2.59/2.79 be: ( $i * $i * $i * $i ) > $o)). % 2.59/2.79 tff(nonexistent_type, type, ( % 2.59/2.79 nonexistent: ( $i * $i ) > $o)). % 2.59/2.79 tff(present_type, type, ( % 2.59/2.79 present: ( $i * $i ) > $o)). % 2.59/2.79 tff(human_person_type, type, ( % 2.59/2.79 human_person: ( $i * $i ) > $o)). % 2.59/2.79 tff(singleton_type, type, ( % 2.59/2.79 singleton: ( $i * $i ) > $o)). % 2.59/2.79 tff(skf1_type, type, ( % 2.59/2.79 skf1: $i > $i)). % 2.59/2.79 tff(unisex_type, type, ( % 2.59/2.79 unisex: ( $i * $i ) > $o)). % 2.59/2.79 tff(of_type, type, ( % 2.59/2.79 of: ( $i * $i * $i ) > $o)). % 2.59/2.79 tff(general_type, type, ( % 2.59/2.79 general: ( $i * $i ) > $o)). % 2.59/2.79 tff(formula1, axiom, % 2.59/2.79 skc22 = $i!val!7). % 2.59/2.79 tff(formula2, axiom, % 2.59/2.79 skc29 = $i!val!1). % 2.59/2.79 tff(formula3, axiom, % 2.59/2.79 skc21 = $i!val!8). % 2.59/2.79 tff(formula4, axiom, % 2.59/2.79 skc17 = $i!val!10). % 2.59/2.79 tff(formula5, axiom, % 2.59/2.79 skc15 = $i!val!0). % 2.59/2.79 tff(formula6, axiom, % 2.59/2.79 skc18 = $i!val!11). % 2.59/2.79 tff(formula7, axiom, % 2.59/2.79 skc20 = $i!val!12). % 2.59/2.79 tff(formula8, axiom, % 2.59/2.79 skc19 = $i!val!9). % 2.59/2.79 tff(formula9, axiom, % 2.59/2.79 skc26 = $i!val!14). % 2.59/2.79 tff(formula10, axiom, % 2.59/2.79 skc28 = $i!val!2). % 2.59/2.79 tff(formula11, axiom, % 2.59/2.79 skc24 = $i!val!5). % 2.59/2.79 tff(formula12, axiom, % 2.59/2.79 skc25 = $i!val!4). % 2.59/2.79 tff(formula13, axiom, % 2.59/2.79 skc16 = $i!val!6). % 2.59/2.79 tff(formula14, axiom, % 2.59/2.79 skc27 = $i!val!3). % 2.59/2.79 tff(formula15, axiom, % 2.59/2.79 skc23 = $i!val!13). % 2.59/2.79 tff(formula16, axiom, % 2.59/2.79 ![X0: $i] : (actual_world(X0) <=> $true)). % 2.59/2.79 tff(formula17, axiom, % 2.59/2.79 ![X0: $i, X1: $i] : (smoke(X0, X1) <=> (((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!7)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!15)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!16)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!17)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!18))))). % 2.59/2.79 tff(formula18, axiom, % 2.59/2.79 ![X0: $i, X1: $i] : (state(X0, X1) <=> (((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!13)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!13)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!13))))). % 2.59/2.79 tff(formula19, axiom, % 2.59/2.79 ![X0: $i, X1: $i] : (thing(X0, X1) <=> $true)). % 2.59/2.79 tff(formula20, axiom, % 2.59/2.79 ![X0: $i, X1: $i] : (relname(X0, X1) <=> (((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!12)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!12)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!11)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!11)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!2)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!12)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!11)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!4)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!4)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!2)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!2)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!4))))). % 2.59/2.79 tff(formula21, axiom, % 2.59/2.79 ![X0: $i, X1: $i] : (abstraction(X0, X1) <=> (((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!12)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!12)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!11)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!11)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!2)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!12)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!11)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!14)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!14)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!6)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!6)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!4)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!4)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!6)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!14)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!2)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!2)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!4))))). % 2.59/2.79 tff(formula22, axiom, % 2.59/2.79 ![X0: $i, X1: $i] : (vincent_forename(X0, X1) <=> (((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!11)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!11)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!2)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!11)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!2)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!2))))). % 2.59/2.79 tff(formula23, axiom, % 2.59/2.79 ![X0: $i, X1: $i, X2: $i] : (agent(X0, X1, X2) <=> (((X2 = $i!val!14) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!6)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (X1 = $i!val!10) & (~(X1 = $i!val!16)) & (~(X1 = $i!val!18)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9)) | ((X2 = $i!val!6) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (~(X1 = $i!val!15)) & (~(X1 = $i!val!17)) & (~(X1 = $i!val!10)) & (~(X1 = $i!val!16)) & (~(X1 = $i!val!18)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8)) | ((X2 = $i!val!0) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (X1 = $i!val!3) & (k!4416(X0) = $i!val!1)) | ((X2 = $i!val!14) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!6)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (X1 = $i!val!3) & (k!4416(X0) = $i!val!1)) | ((X2 = $i!val!6) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (X1 = $i!val!10) & (~(X1 = $i!val!16)) & (~(X1 = $i!val!18)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9)) | ((X2 = $i!val!14) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!6)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (X1 = $i!val!16) & (~(X1 = $i!val!18)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1)) | ((X2 = $i!val!0) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (X1 = $i!val!10) & (~(X1 = $i!val!16)) & (~(X1 = $i!val!18)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9)) | ((X2 = $i!val!14) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!6)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (X1 = $i!val!18) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5)) | ((X2 = $i!val!14) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!6)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (X1 = $i!val!17) & (~(X1 = $i!val!10)) & (~(X1 = $i!val!16)) & (~(X1 = $i!val!18)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9)) | ((X2 = $i!val!14) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!6)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (X1 = $i!val!15) & (~(X1 = $i!val!17)) & (~(X1 = $i!val!10)) & (~(X1 = $i!val!16)) & (~(X1 = $i!val!18)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8)) | ((X2 = $i!val!6) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (X1 = $i!val!3) & (k!4416(X0) = $i!val!1))))). % 2.59/2.80 tff(formula24, axiom, % 2.59/2.80 ![X0: $i, X1: $i] : (living(X0, X1) <=> $true)). % 2.59/2.80 tff(formula25, axiom, % 2.59/2.80 ![X0: $i, X1: $i] : (event(X0, X1) <=> (((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!3)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!10)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!13)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!10)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!3)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!10)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!13)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!3)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!15)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!16)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!13)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!17)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!18)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!7))))). % 2.59/2.80 tff(formula26, axiom, % 2.59/2.80 ![X0: $i, X1: $i] : (human(X0, X1) <=> (((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1))))). % 2.59/2.80 tff(formula27, axiom, % 2.59/2.80 ![X0: $i, X1: $i] : (existent(X0, X1) <=> (((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1))))). % 2.59/2.80 tff(formula28, axiom, % 2.59/2.80 ![X0: $i, X1: $i] : (animate(X0, X1) <=> $true)). % 2.59/2.80 tff(formula29, axiom, % 2.59/2.80 k!4416($i!val!18) = $i!val!18). % 2.59/2.80 tff(formula30, axiom, % 2.59/2.80 k!4416($i!val!8) = $i!val!8). % 2.59/2.80 tff(formula31, axiom, % 2.59/2.80 k!4416($i!val!11) = $i!val!11). % 2.59/2.80 tff(formula32, axiom, % 2.59/2.80 k!4416($i!val!10) = $i!val!10). % 2.59/2.80 tff(formula33, axiom, % 2.59/2.80 k!4416($i!val!12) = $i!val!12). % 2.59/2.80 tff(formula34, axiom, % 2.59/2.80 k!4416($i!val!13) = $i!val!13). % 2.59/2.80 tff(formula35, axiom, % 2.59/2.80 k!4416($i!val!9) = $i!val!9). % 2.59/2.80 tff(formula36, axiom, % 2.59/2.80 k!4416($i!val!14) = $i!val!14). % 2.59/2.80 tff(formula37, axiom, % 2.59/2.80 k!4416($i!val!2) = $i!val!2). % 2.59/2.80 tff(formula38, axiom, % 2.59/2.80 k!4416($i!val!15) = $i!val!15). % 2.59/2.80 tff(formula39, axiom, % 2.59/2.80 k!4416($i!val!5) = $i!val!5). % 2.59/2.80 tff(formula40, axiom, % 2.59/2.80 k!4416($i!val!17) = $i!val!17). % 2.59/2.80 tff(formula41, axiom, % 2.59/2.80 k!4416($i!val!16) = $i!val!16). % 2.59/2.80 tff(formula42, axiom, % 2.59/2.80 k!4416($i!val!4) = $i!val!4). % 2.59/2.80 tff(formula43, axiom, % 2.59/2.80 k!4416($i!val!6) = $i!val!6). % 2.59/2.80 tff(formula44, axiom, % 2.59/2.80 k!4416($i!val!3) = $i!val!3). % 2.59/2.80 tff(formula45, axiom, % 2.59/2.80 k!4416($i!val!1) = $i!val!1). % 2.59/2.80 tff(formula46, axiom, % 2.59/2.80 ![X0: $i] : ((~((($i!val!18 = X0)) | (($i!val!8 = X0)) | (($i!val!11 = X0)) | (($i!val!10 = X0)) | (($i!val!12 = X0)) | (($i!val!13 = X0)) | (($i!val!9 = X0)) | (($i!val!14 = X0)) | (($i!val!2 = X0)) | (($i!val!15 = X0)) | (($i!val!5 = X0)) | (($i!val!17 = X0)) | (($i!val!16 = X0)) | (($i!val!4 = X0)) | (($i!val!6 = X0)) | (($i!val!3 = X0)) | (($i!val!1 = X0)))) => (k!4416(X0) = $i!val!7))). % 2.59/2.80 tff(formula47, axiom, % 2.59/2.80 ![X0: $i, X1: $i] : (proposition(X0, X1) <=> (((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!14)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!14)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!6)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!6)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!6)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!14))))). % 2.59/2.80 tff(formula48, axiom, % 2.59/2.80 ![X0: $i, X1: $i] : (organism(X0, X1) <=> (((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1))))). % 2.59/2.80 tff(formula49, axiom, % 2.59/2.80 ![X0: $i, X1: $i] : (nonhuman(X0, X1) <=> ((~((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1))) & (~((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5))) & (~((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8))) & (~((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8))) & (~((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9))) & (~((X1 = $i!val!5) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9))) & (~((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9))) & (~((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5))) & (~((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1))) & (~((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9))) & (~((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8))) & (~((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5))) & (~((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1)))))). % 2.59/2.80 tff(formula50, axiom, % 2.59/2.80 ![X0: $i, X1: $i] : (man(X0, X1) <=> (((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1))))). % 2.59/2.80 tff(formula51, axiom, % 2.59/2.80 ![X0: $i, X1: $i] : (eventuality(X0, X1) <=> (((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!3)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!10)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!13)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!10)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!3)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!10)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!13)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!3)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!15)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!16)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!13)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!17)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!18)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!7))))). % 2.59/2.80 tff(formula52, axiom, % 2.59/2.80 ![X0: $i, X1: $i] : (impartial(X0, X1) <=> $true)). % 2.59/2.80 tff(formula53, axiom, % 2.59/2.80 ![X0: $i, X1: $i] : (relation(X0, X1) <=> (((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!12)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!12)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!11)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!11)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!2)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!12)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!11)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!14)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!14)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!6)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!6)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!4)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!4)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!6)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!14)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!2)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!2)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!4))))). % 2.59/2.80 tff(formula54, axiom, % 2.59/2.80 ![X0: $i, X1: $i] : (entity(X0, X1) <=> (((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1))))). % 2.59/2.80 tff(formula55, axiom, % 2.59/2.80 ![X0: $i, X1: $i] : (male(X0, X1) <=> (((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1))))). % 2.59/2.80 tff(formula56, axiom, % 2.59/2.80 ![X0: $i, X1: $i] : (think_believe_consider(X0, X1) <=> ((~((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (~(X0 = $i!val!15)) & (~(X0 = $i!val!17)) & (~(X0 = $i!val!10)) & (~(X0 = $i!val!16)) & (~(X0 = $i!val!18)) & (~(X0 = $i!val!3)))) & (~((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (X0 = $i!val!16) & (~(X0 = $i!val!18)) & (~(X0 = $i!val!3)))) & (~((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (X0 = $i!val!17) & (~(X0 = $i!val!10)) & (~(X0 = $i!val!16)) & (~(X0 = $i!val!18)) & (~(X0 = $i!val!3)))) & (~((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (X0 = $i!val!15) & (~(X0 = $i!val!17)) & (~(X0 = $i!val!10)) & (~(X0 = $i!val!16)) & (~(X0 = $i!val!18)) & (~(X0 = $i!val!3)))) & (~((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (~(X0 = $i!val!15)) & (~(X0 = $i!val!17)) & (~(X0 = $i!val!10)) & (~(X0 = $i!val!16)) & (~(X0 = $i!val!18)) & (~(X0 = $i!val!3))))))). % 2.59/2.80 tff(formula57, axiom, % 2.59/2.80 ![X0: $i, X1: $i] : (accessible_world(X0, X1) <=> (((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (X0 = $i!val!14) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!11)) & (~(X0 = $i!val!3))) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (X0 = $i!val!6) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!11)) & (~(X0 = $i!val!3)))))). % 2.59/2.80 tff(formula58, axiom, % 2.59/2.80 ![X0: $i, X1: $i] : (specific(X0, X1) <=> ((~((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!2))) & (~((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!4))) & (~((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!6))) & (~((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!11))) & (~((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!12))) & (~((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!12))) & (~((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!2))) & (~((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!14))) & (~((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!6))) & (~((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!14))) & (~((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!11))) & (~((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!4))) & (~((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!12))) & (~((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!11))) & (~((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!4))) & (~((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!2))) & (~((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!14))) & (~((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!6)))))). % 2.59/2.80 tff(formula59, axiom, % 2.59/2.80 ![X0: $i, X1: $i] : (forename(X0, X1) <=> (((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!12)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!12)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!11)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!11)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!2)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!12)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!11)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!4)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!4)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!2)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!2)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!4))))). % 2.59/2.80 tff(formula60, axiom, % 2.59/2.80 ![X0: $i, X1: $i, X2: $i] : (theme(X0, X1, X2) <=> (((X2 = $i!val!14) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!6)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (X1 = $i!val!10) & (~(X1 = $i!val!16)) & (~(X1 = $i!val!18)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!6)) | ((X2 = $i!val!0) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (X1 = $i!val!3) & (k!4416(X0) = $i!val!14)) | ((X2 = $i!val!6) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (X1 = $i!val!3) & (k!4416(X0) = $i!val!14)) | ((X2 = $i!val!0) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (X1 = $i!val!10) & (~(X1 = $i!val!16)) & (~(X1 = $i!val!18)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!6)) | ((X2 = $i!val!14) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!6)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (X1 = $i!val!3) & (k!4416(X0) = $i!val!14)) | ((X2 = $i!val!6) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (X1 = $i!val!10) & (~(X1 = $i!val!16)) & (~(X1 = $i!val!18)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!6))))). % 2.59/2.80 tff(formula61, axiom, % 2.59/2.80 ![X0: $i, X1: $i] : (jules_forename(X0, X1) <=> (((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!12)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!12)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!12)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!4)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!4)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!4))))). % 2.59/2.80 tff(formula62, axiom, % 2.59/2.80 ![X0: $i, X1: $i, X2: $i, X3: $i] : (be(X0, X1, X2, X3) <=> (((X3 = $i!val!14) & (~(X3 = $i!val!5)) & (~(X3 = $i!val!6)) & (~(X3 = $i!val!0)) & (~(X3 = $i!val!11)) & (~(X3 = $i!val!3)) & (X2 = $i!val!13) & (X1 = $i!val!5) & (~(X1 = $i!val!17)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!13)) & (X0 = $i!val!5) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!11))) | ((X3 = $i!val!0) & (~(X3 = $i!val!11)) & (~(X3 = $i!val!3)) & (X2 = $i!val!13) & (X1 = $i!val!5) & (~(X1 = $i!val!17)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!13)) & (X0 = $i!val!5) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!11))) | ((X3 = $i!val!6) & (~(X3 = $i!val!0)) & (~(X3 = $i!val!11)) & (~(X3 = $i!val!3)) & (X2 = $i!val!13) & (X1 = $i!val!5) & (~(X1 = $i!val!17)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!13)) & (X0 = $i!val!5) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!0)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!14)) & (~(X0 = $i!val!11)))))). % 2.59/2.80 tff(formula63, axiom, % 2.59/2.80 ![X0: $i, X1: $i] : (nonexistent(X0, X1) <=> ((~((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1))) & (~((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1))) & (~((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5))) & (~((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8))) & (~((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9))) & (~((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8))) & (~((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5))) & (~((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9))) & (~((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9))) & (~((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8))) & (~((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5))) & (~((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1)))))). % 2.59/2.81 tff(formula64, axiom, % 2.59/2.81 ![X0: $i, X1: $i] : (present(X0, X1) <=> $true)). % 2.59/2.81 tff(formula65, axiom, % 2.59/2.81 ![X0: $i, X1: $i] : (human_person(X0, X1) <=> (((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1))))). % 2.59/2.81 tff(formula66, axiom, % 2.59/2.81 ![X0: $i, X1: $i] : (singleton(X0, X1) <=> $true)). % 2.59/2.81 tff(formula67, axiom, % 2.59/2.81 ![X0: $i] : (skf1(X0) = ite_t((k!4416(X0) = $i!val!5), $i!val!18, ite_t((k!4416(X0) = $i!val!9), $i!val!17, ite_t((k!4416(X0) = $i!val!1), $i!val!16, $i!val!15))))). % 2.59/2.81 tff(formula68, axiom, % 2.59/2.81 ![X0: $i, X1: $i] : (unisex(X0, X1) <=> ((~((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5))) & (~((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8))) & (~((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5))) & (~((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8))) & (~((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1))) & (~((X1 = $i!val!5) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9))) & (~((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9))) & (~((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9))) & (~((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1))) & (~((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!9))) & (~((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!8))) & (~((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!5))) & (~((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!1)))))). % 2.59/2.81 tff(formula69, axiom, % 2.59/2.81 ![X0: $i, X1: $i, X2: $i] : (of(X0, X1, X2) <=> (((X2 = $i!val!6) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (k!4416(X1) = $i!val!4) & (k!4416(X0) = $i!val!5)) | ((X2 = $i!val!0) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (k!4416(X1) = $i!val!11) & (k!4416(X0) = $i!val!9)) | ((X2 = $i!val!6) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (k!4416(X1) = $i!val!12) & (k!4416(X0) = $i!val!8)) | ((X2 = $i!val!6) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (k!4416(X1) = $i!val!2) & (k!4416(X0) = $i!val!1)) | ((X2 = $i!val!6) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (k!4416(X1) = $i!val!11) & (k!4416(X0) = $i!val!9)) | ((X2 = $i!val!0) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (k!4416(X1) = $i!val!4) & (k!4416(X0) = $i!val!5)) | ((X2 = $i!val!14) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!6)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (k!4416(X1) = $i!val!12) & (k!4416(X0) = $i!val!8)) | ((X2 = $i!val!0) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (k!4416(X1) = $i!val!12) & (k!4416(X0) = $i!val!8)) | ((X2 = $i!val!0) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (k!4416(X1) = $i!val!2) & (k!4416(X0) = $i!val!1)) | ((X2 = $i!val!14) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!6)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (k!4416(X1) = $i!val!4) & (k!4416(X0) = $i!val!5)) | ((X2 = $i!val!14) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!6)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (k!4416(X1) = $i!val!2) & (k!4416(X0) = $i!val!1)) | ((X2 = $i!val!14) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!6)) & (~(X2 = $i!val!0)) & (~(X2 = $i!val!11)) & (~(X2 = $i!val!3)) & (k!4416(X1) = $i!val!11) & (k!4416(X0) = $i!val!9))))). % 2.65/2.81 tff(formula70, axiom, % 2.65/2.81 ![X0: $i, X1: $i] : (general(X0, X1) <=> (((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!12)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!12)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!11)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!11)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!2)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!12)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!11)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!14)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!14)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!6)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!6)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!4)) | ((X1 = $i!val!0) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!4)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!6)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!14)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!2)) | ((X1 = $i!val!6) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!2)) | ((X1 = $i!val!14) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!0)) & (~(X1 = $i!val!11)) & (~(X1 = $i!val!3)) & (k!4416(X0) = $i!val!4))))). % 2.65/2.81 % SZS output end Model % 2.65/2.81 % E exiting %------------------------------------------------------------------------------