%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : NLP242-1 : TPTP v9.0.0. Released v2.4.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n005.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 1.03s 1.19s % Output : Model 1.04s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.11 % Problem : NLP242-1 : TPTP v9.0.0. Released v2.4.0. % 0.09/0.11 % Command : run_E %s %d THM % 0.11/0.32 % Computer : n005.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 23:55:50 EDT 2025 % 0.11/0.32 % CPUTime : % 1.03/1.19 % SZS status Satisfiable % 1.03/1.19 % SZS output start Model % 1.03/1.19 tff(tptp_fun__i_val_5_type, type, ( % 1.03/1.19 tptp_fun__i_val_5: $i)). % 1.03/1.19 tff(skc22_type, type, ( % 1.03/1.19 skc22: $i)). % 1.03/1.19 tff(tptp_fun__i_val_6_type, type, ( % 1.03/1.19 tptp_fun__i_val_6: $i)). % 1.03/1.19 tff(skc21_type, type, ( % 1.03/1.19 skc21: $i)). % 1.03/1.19 tff(tptp_fun__i_val_8_type, type, ( % 1.03/1.19 tptp_fun__i_val_8: $i)). % 1.03/1.19 tff(skc18_type, type, ( % 1.03/1.19 skc18: $i)). % 1.03/1.19 tff(tptp_fun__i_val_4_type, type, ( % 1.03/1.19 tptp_fun__i_val_4: $i)). % 1.03/1.19 tff(skc15_type, type, ( % 1.03/1.19 skc15: $i)). % 1.03/1.19 tff(tptp_fun__i_val_7_type, type, ( % 1.03/1.19 tptp_fun__i_val_7: $i)). % 1.03/1.19 tff(skc20_type, type, ( % 1.03/1.19 skc20: $i)). % 1.03/1.19 tff(tptp_fun__i_val_9_type, type, ( % 1.03/1.19 tptp_fun__i_val_9: $i)). % 1.03/1.19 tff(skc17_type, type, ( % 1.03/1.19 skc17: $i)). % 1.03/1.19 tff(tptp_fun__i_val_0_type, type, ( % 1.03/1.19 tptp_fun__i_val_0: $i)). % 1.03/1.19 tff(skc14_type, type, ( % 1.03/1.19 skc14: $i)). % 1.03/1.19 tff(tptp_fun__i_val_2_type, type, ( % 1.03/1.19 tptp_fun__i_val_2: $i)). % 1.03/1.19 tff(skc26_type, type, ( % 1.03/1.19 skc26: $i)). % 1.03/1.19 tff(tptp_fun__i_val_11_type, type, ( % 1.03/1.19 tptp_fun__i_val_11: $i)). % 1.03/1.19 tff(skc19_type, type, ( % 1.03/1.19 skc19: $i)). % 1.03/1.19 tff(tptp_fun__i_val_12_type, type, ( % 1.03/1.19 tptp_fun__i_val_12: $i)). % 1.03/1.19 tff(skc24_type, type, ( % 1.03/1.19 skc24: $i)). % 1.03/1.19 tff(tptp_fun__i_val_3_type, type, ( % 1.03/1.19 tptp_fun__i_val_3: $i)). % 1.03/1.19 tff(skc25_type, type, ( % 1.03/1.19 skc25: $i)). % 1.03/1.19 tff(tptp_fun__i_val_10_type, type, ( % 1.03/1.19 tptp_fun__i_val_10: $i)). % 1.03/1.19 tff(skc16_type, type, ( % 1.03/1.19 skc16: $i)). % 1.03/1.19 tff(tptp_fun__i_val_1_type, type, ( % 1.03/1.19 tptp_fun__i_val_1: $i)). % 1.03/1.19 tff(skc27_type, type, ( % 1.03/1.19 skc27: $i)). % 1.03/1.19 tff(skc23_type, type, ( % 1.03/1.19 skc23: $i)). % 1.03/1.19 tff(actual_world_type, type, ( % 1.03/1.19 actual_world: $i > $o)). % 1.03/1.19 tff(tptp_fun__i_val_15_type, type, ( % 1.03/1.19 tptp_fun__i_val_15: $i)). % 1.03/1.19 tff(k!1618_type, type, ( % 1.03/1.19 k!1618: $i > $i)). % 1.03/1.19 tff(tptp_fun__i_val_14_type, type, ( % 1.03/1.19 tptp_fun__i_val_14: $i)). % 1.03/1.19 tff(tptp_fun__i_val_13_type, type, ( % 1.03/1.19 tptp_fun__i_val_13: $i)). % 1.03/1.19 tff(smoke_type, type, ( % 1.03/1.19 smoke: ( $i * $i ) > $o)). % 1.03/1.19 tff(state_type, type, ( % 1.03/1.19 state: ( $i * $i ) > $o)). % 1.03/1.19 tff(thing_type, type, ( % 1.03/1.19 thing: ( $i * $i ) > $o)). % 1.03/1.19 tff(relname_type, type, ( % 1.03/1.19 relname: ( $i * $i ) > $o)). % 1.03/1.19 tff(abstraction_type, type, ( % 1.03/1.19 abstraction: ( $i * $i ) > $o)). % 1.03/1.19 tff(vincent_forename_type, type, ( % 1.03/1.19 vincent_forename: ( $i * $i ) > $o)). % 1.03/1.19 tff(agent_type, type, ( % 1.03/1.19 agent: ( $i * $i * $i ) > $o)). % 1.03/1.19 tff(living_type, type, ( % 1.03/1.19 living: ( $i * $i ) > $o)). % 1.03/1.19 tff(event_type, type, ( % 1.03/1.19 event: ( $i * $i ) > $o)). % 1.03/1.19 tff(human_type, type, ( % 1.03/1.19 human: ( $i * $i ) > $o)). % 1.03/1.19 tff(existent_type, type, ( % 1.03/1.19 existent: ( $i * $i ) > $o)). % 1.03/1.19 tff(animate_type, type, ( % 1.03/1.19 animate: ( $i * $i ) > $o)). % 1.03/1.19 tff(proposition_type, type, ( % 1.03/1.19 proposition: ( $i * $i ) > $o)). % 1.03/1.19 tff(organism_type, type, ( % 1.03/1.19 organism: ( $i * $i ) > $o)). % 1.03/1.19 tff(nonhuman_type, type, ( % 1.03/1.19 nonhuman: ( $i * $i ) > $o)). % 1.03/1.19 tff(man_type, type, ( % 1.03/1.19 man: ( $i * $i ) > $o)). % 1.03/1.19 tff(eventuality_type, type, ( % 1.03/1.19 eventuality: ( $i * $i ) > $o)). % 1.03/1.19 tff(impartial_type, type, ( % 1.03/1.19 impartial: ( $i * $i ) > $o)). % 1.03/1.19 tff(relation_type, type, ( % 1.03/1.19 relation: ( $i * $i ) > $o)). % 1.03/1.19 tff(entity_type, type, ( % 1.03/1.19 entity: ( $i * $i ) > $o)). % 1.03/1.19 tff(male_type, type, ( % 1.03/1.19 male: ( $i * $i ) > $o)). % 1.03/1.19 tff(think_believe_consider_type, type, ( % 1.03/1.19 think_believe_consider: ( $i * $i ) > $o)). % 1.03/1.19 tff(accessible_world_type, type, ( % 1.03/1.19 accessible_world: ( $i * $i ) > $o)). % 1.03/1.19 tff(specific_type, type, ( % 1.03/1.19 specific: ( $i * $i ) > $o)). % 1.03/1.19 tff(forename_type, type, ( % 1.03/1.19 forename: ( $i * $i ) > $o)). % 1.03/1.19 tff(theme_type, type, ( % 1.03/1.19 theme: ( $i * $i * $i ) > $o)). % 1.03/1.19 tff(jules_forename_type, type, ( % 1.03/1.19 jules_forename: ( $i * $i ) > $o)). % 1.03/1.19 tff(be_type, type, ( % 1.03/1.19 be: ( $i * $i * $i * $i ) > $o)). % 1.03/1.19 tff(nonexistent_type, type, ( % 1.03/1.19 nonexistent: ( $i * $i ) > $o)). % 1.03/1.19 tff(present_type, type, ( % 1.03/1.19 present: ( $i * $i ) > $o)). % 1.03/1.19 tff(human_person_type, type, ( % 1.03/1.19 human_person: ( $i * $i ) > $o)). % 1.03/1.19 tff(singleton_type, type, ( % 1.03/1.19 singleton: ( $i * $i ) > $o)). % 1.03/1.19 tff(skf1_type, type, ( % 1.03/1.19 skf1: $i > $i)). % 1.03/1.19 tff(unisex_type, type, ( % 1.03/1.19 unisex: ( $i * $i ) > $o)). % 1.03/1.19 tff(of_type, type, ( % 1.03/1.19 of: ( $i * $i * $i ) > $o)). % 1.03/1.19 tff(general_type, type, ( % 1.03/1.19 general: ( $i * $i ) > $o)). % 1.03/1.19 tff(formula1, axiom, % 1.03/1.19 skc22 = $i!val!5). % 1.03/1.19 tff(formula2, axiom, % 1.03/1.19 skc21 = $i!val!6). % 1.03/1.19 tff(formula3, axiom, % 1.03/1.19 skc18 = $i!val!8). % 1.03/1.19 tff(formula4, axiom, % 1.03/1.19 skc15 = $i!val!4). % 1.03/1.19 tff(formula5, axiom, % 1.03/1.19 skc20 = $i!val!7). % 1.03/1.19 tff(formula6, axiom, % 1.03/1.19 skc17 = $i!val!9). % 1.03/1.19 tff(formula7, axiom, % 1.03/1.19 skc14 = $i!val!0). % 1.03/1.19 tff(formula8, axiom, % 1.03/1.19 skc26 = $i!val!2). % 1.03/1.19 tff(formula9, axiom, % 1.03/1.19 skc19 = $i!val!11). % 1.03/1.19 tff(formula10, axiom, % 1.03/1.19 skc24 = $i!val!12). % 1.03/1.19 tff(formula11, axiom, % 1.03/1.19 skc25 = $i!val!3). % 1.03/1.19 tff(formula12, axiom, % 1.03/1.19 skc16 = $i!val!10). % 1.03/1.19 tff(formula13, axiom, % 1.03/1.19 skc27 = $i!val!1). % 1.03/1.19 tff(formula14, axiom, % 1.03/1.19 skc23 = $i!val!6). % 1.03/1.19 tff(formula15, axiom, % 1.03/1.19 ![X0: $i] : (actual_world(X0) <=> $true)). % 1.03/1.19 tff(formula16, axiom, % 1.03/1.19 ![X0: $i, X1: $i] : (smoke(X0, X1) <=> (((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!5)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!13)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!14)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!15))))). % 1.03/1.19 tff(formula17, axiom, % 1.03/1.19 ![X0: $i, X1: $i] : (state(X0, X1) <=> (((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!11)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!11)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!11))))). % 1.03/1.19 tff(formula18, axiom, % 1.03/1.19 ![X0: $i, X1: $i] : (thing(X0, X1) <=> $true)). % 1.03/1.19 tff(formula19, axiom, % 1.03/1.19 ![X0: $i, X1: $i] : (relname(X0, X1) <=> (((X1 = $i!val!0) & (k!1618(X0) = $i!val!6)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!6)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!2)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!9)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!9)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!6)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!9)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!2)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!2))))). % 1.03/1.19 tff(formula20, axiom, % 1.03/1.19 ![X0: $i, X1: $i] : (abstraction(X0, X1) <=> (((X1 = $i!val!0) & (k!1618(X0) = $i!val!12)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!4)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!6)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!6)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!4)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!2)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!9)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!4)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!9)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!6)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!9)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!2)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!12)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!12)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!2))))). % 1.03/1.19 tff(formula21, axiom, % 1.03/1.19 ![X0: $i, X1: $i] : (vincent_forename(X0, X1) <=> (((X1 = $i!val!0) & (k!1618(X0) = $i!val!2)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!9)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!9)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!9)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!2)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!2))))). % 1.03/1.19 tff(formula22, axiom, % 1.03/1.19 ![X0: $i, X1: $i, X2: $i] : (agent(X0, X1, X2) <=> (((~(X2 = $i!val!6)) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (X1 = $i!val!13) & (~(X1 = $i!val!14)) & (~(X1 = $i!val!15)) & (k!1618(X0) = $i!val!8)) | ((X2 = $i!val!4) & (~(X2 = $i!val!0)) & (X1 = $i!val!3) & (~(X1 = $i!val!10)) & (~(X1 = $i!val!13)) & (~(X1 = $i!val!14)) & (~(X1 = $i!val!15)) & (k!1618(X0) = $i!val!1)) | ((X2 = $i!val!0) & (X1 = $i!val!3) & (~(X1 = $i!val!10)) & (~(X1 = $i!val!13)) & (~(X1 = $i!val!14)) & (~(X1 = $i!val!15)) & (k!1618(X0) = $i!val!1)) | ((~(X2 = $i!val!6)) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (X1 = $i!val!15) & (k!1618(X0) = $i!val!7)) | ((~(X2 = $i!val!6)) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (X1 = $i!val!3) & (~(X1 = $i!val!10)) & (~(X1 = $i!val!13)) & (~(X1 = $i!val!14)) & (~(X1 = $i!val!15)) & (k!1618(X0) = $i!val!1)) | ((X2 = $i!val!4) & (~(X2 = $i!val!0)) & (X1 = $i!val!10) & (~(X1 = $i!val!13)) & (~(X1 = $i!val!14)) & (~(X1 = $i!val!15)) & (k!1618(X0) = $i!val!8)) | ((~(X2 = $i!val!6)) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (X1 = $i!val!10) & (~(X1 = $i!val!13)) & (~(X1 = $i!val!14)) & (~(X1 = $i!val!15)) & (k!1618(X0) = $i!val!8)) | ((X2 = $i!val!4) & (~(X2 = $i!val!0)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!10)) & (~(X1 = $i!val!13)) & (~(X1 = $i!val!14)) & (~(X1 = $i!val!15)) & (k!1618(X0) = $i!val!7)) | ((X2 = $i!val!0) & (X1 = $i!val!10) & (~(X1 = $i!val!13)) & (~(X1 = $i!val!14)) & (~(X1 = $i!val!15)) & (k!1618(X0) = $i!val!8)) | ((~(X2 = $i!val!6)) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (X1 = $i!val!14) & (~(X1 = $i!val!15)) & (k!1618(X0) = $i!val!1))))). % 1.04/1.19 tff(formula23, axiom, % 1.04/1.19 ![X0: $i, X1: $i] : (living(X0, X1) <=> $true)). % 1.04/1.19 tff(formula24, axiom, % 1.04/1.19 ![X0: $i, X1: $i] : (event(X0, X1) <=> (((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!5)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!3)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!3)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!3)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!10)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!10)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!10)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!11)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!11)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!11)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!13)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!14)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!15))))). % 1.04/1.19 tff(formula25, axiom, % 1.04/1.19 ![X0: $i, X1: $i] : (human(X0, X1) <=> (((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!8)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!8)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!7)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!1)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!1)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!7)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!1)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!8)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!7))))). % 1.04/1.19 tff(formula26, axiom, % 1.04/1.19 ![X0: $i, X1: $i] : (existent(X0, X1) <=> (((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!8)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!8)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!7)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!1)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!1)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!7)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!1)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!8)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!7))))). % 1.04/1.19 tff(formula27, axiom, % 1.04/1.19 ![X0: $i, X1: $i] : (animate(X0, X1) <=> $true)). % 1.04/1.19 tff(formula28, axiom, % 1.04/1.19 ![X0: $i, X1: $i] : (proposition(X0, X1) <=> (((X1 = $i!val!0) & (k!1618(X0) = $i!val!12)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!4)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!4)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!4)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!12)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!12))))). % 1.04/1.19 tff(formula29, axiom, % 1.04/1.19 ![X0: $i, X1: $i] : (organism(X0, X1) <=> (((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!8)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!8)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!7)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!1)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!1)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!7)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!1)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!8)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!7))))). % 1.04/1.19 tff(formula30, axiom, % 1.04/1.19 ![X0: $i, X1: $i] : (nonhuman(X0, X1) <=> ((~((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!8))) & (~((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!1))) & (~((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!7))) & (~((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!7))) & (~((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!1))) & (~((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!8))) & (~((X1 = $i!val!0) & (k!1618(X0) = $i!val!8))) & (~((X1 = $i!val!0) & (k!1618(X0) = $i!val!7))) & (~((X1 = $i!val!0) & (k!1618(X0) = $i!val!1)))))). % 1.04/1.19 tff(formula31, axiom, % 1.04/1.19 ![X0: $i, X1: $i] : (man(X0, X1) <=> (((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!8)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!8)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!7)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!1)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!1)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!7)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!1)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!8)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!7))))). % 1.04/1.19 tff(formula32, axiom, % 1.04/1.19 ![X0: $i, X1: $i] : (eventuality(X0, X1) <=> (((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!5)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!3)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!3)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!3)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!10)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!10)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!10)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!11)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!11)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!11)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!13)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!14)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!15))))). % 1.04/1.19 tff(formula33, axiom, % 1.04/1.19 ![X0: $i, X1: $i] : (impartial(X0, X1) <=> $true)). % 1.04/1.19 tff(formula34, axiom, % 1.04/1.19 ![X0: $i, X1: $i] : (relation(X0, X1) <=> (((X1 = $i!val!0) & (k!1618(X0) = $i!val!12)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!4)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!6)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!6)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!4)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!2)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!9)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!4)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!9)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!6)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!9)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!2)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!12)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!12)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!2))))). % 1.04/1.19 tff(formula35, axiom, % 1.04/1.19 ![X0: $i, X1: $i] : (entity(X0, X1) <=> (((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!8)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!8)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!7)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!1)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!1)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!7)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!1)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!8)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!7))))). % 1.04/1.19 tff(formula36, axiom, % 1.04/1.19 ![X0: $i, X1: $i] : (male(X0, X1) <=> (((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!8)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!8)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!7)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!1)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!1)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!7)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!1)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!8)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!7))))). % 1.04/1.19 tff(formula37, axiom, % 1.04/1.19 ![X0: $i, X1: $i] : (think_believe_consider(X0, X1) <=> (~((X1 = $i!val!0) & (X0 = $i!val!15))))). % 1.04/1.19 tff(formula38, axiom, % 1.04/1.19 ![X0: $i, X1: $i] : (accessible_world(X0, X1) <=> (((X1 = $i!val!0) & (X0 = $i!val!4) & (~(X0 = $i!val!0))) | ((X1 = $i!val!0) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!0)))))). % 1.04/1.19 tff(formula39, axiom, % 1.04/1.19 ![X0: $i, X1: $i] : (specific(X0, X1) <=> ((~((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!4))) & (~((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!12))) & (~((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!4))) & (~((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!6))) & (~((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!2))) & (~((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!9))) & (~((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!12))) & (~((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!9))) & (~((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!2))) & (~((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!6))) & (~((X1 = $i!val!0) & (k!1618(X0) = $i!val!9))) & (~((X1 = $i!val!0) & (k!1618(X0) = $i!val!6))) & (~((X1 = $i!val!0) & (k!1618(X0) = $i!val!2))) & (~((X1 = $i!val!0) & (k!1618(X0) = $i!val!12))) & (~((X1 = $i!val!0) & (k!1618(X0) = $i!val!4)))))). % 1.04/1.19 tff(formula40, axiom, % 1.04/1.19 ![X0: $i, X1: $i] : (forename(X0, X1) <=> (((X1 = $i!val!0) & (k!1618(X0) = $i!val!6)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!6)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!2)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!9)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!9)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!6)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!9)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!2)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!2))))). % 1.04/1.19 tff(formula41, axiom, % 1.04/1.19 ![X0: $i, X1: $i, X2: $i] : (theme(X0, X1, X2) <=> (((X2 = $i!val!4) & (~(X2 = $i!val!0)) & (X1 = $i!val!3) & (~(X1 = $i!val!10)) & (~(X1 = $i!val!13)) & (~(X1 = $i!val!14)) & (~(X1 = $i!val!15)) & (k!1618(X0) = $i!val!12)) | ((X2 = $i!val!4) & (~(X2 = $i!val!0)) & (X1 = $i!val!10) & (~(X1 = $i!val!13)) & (~(X1 = $i!val!14)) & (~(X1 = $i!val!15)) & (k!1618(X0) = $i!val!4)) | ((X2 = $i!val!0) & (X1 = $i!val!3) & (~(X1 = $i!val!10)) & (~(X1 = $i!val!13)) & (~(X1 = $i!val!14)) & (~(X1 = $i!val!15)) & (k!1618(X0) = $i!val!12)) | ((~(X2 = $i!val!6)) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (X1 = $i!val!3) & (~(X1 = $i!val!10)) & (~(X1 = $i!val!13)) & (~(X1 = $i!val!14)) & (~(X1 = $i!val!15)) & (k!1618(X0) = $i!val!12)) | ((~(X2 = $i!val!6)) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (X1 = $i!val!10) & (~(X1 = $i!val!13)) & (~(X1 = $i!val!14)) & (~(X1 = $i!val!15)) & (k!1618(X0) = $i!val!4)) | ((X2 = $i!val!0) & (X1 = $i!val!10) & (~(X1 = $i!val!13)) & (~(X1 = $i!val!14)) & (~(X1 = $i!val!15)) & (k!1618(X0) = $i!val!4))))). % 1.04/1.19 tff(formula42, axiom, % 1.04/1.19 ![X0: $i, X1: $i] : (jules_forename(X0, X1) <=> (((X1 = $i!val!0) & (k!1618(X0) = $i!val!6)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!6)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!6))))). % 1.04/1.19 tff(formula43, axiom, % 1.04/1.19 ![X0: $i, X1: $i, X2: $i, X3: $i] : (be(X0, X1, X2, X3) <=> (((X3 = $i!val!0) & (~(X2 = $i!val!3)) & (X1 = $i!val!7) & (X0 = $i!val!7)) | ((~(X3 = $i!val!6)) & (~(X3 = $i!val!4)) & (~(X3 = $i!val!0)) & (~(X2 = $i!val!3)) & (X1 = $i!val!7) & (X0 = $i!val!7)) | ((X3 = $i!val!4) & (~(X3 = $i!val!0)) & (~(X2 = $i!val!3)) & (X1 = $i!val!7) & (X0 = $i!val!7))))). % 1.04/1.19 tff(formula44, axiom, % 1.04/1.19 ![X0: $i, X1: $i] : (nonexistent(X0, X1) <=> ((~((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!7))) & (~((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!7))) & (~((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!1))) & (~((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!8))) & (~((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!1))) & (~((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!8))) & (~((X1 = $i!val!0) & (k!1618(X0) = $i!val!8))) & (~((X1 = $i!val!0) & (k!1618(X0) = $i!val!7))) & (~((X1 = $i!val!0) & (k!1618(X0) = $i!val!1)))))). % 1.04/1.19 tff(formula45, axiom, % 1.04/1.19 ![X0: $i, X1: $i] : (present(X0, X1) <=> $true)). % 1.04/1.19 tff(formula46, axiom, % 1.04/1.19 ![X0: $i, X1: $i] : (human_person(X0, X1) <=> (((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!8)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!8)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!7)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!1)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!1)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!7)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!1)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!8)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!7))))). % 1.04/1.19 tff(formula47, axiom, % 1.04/1.19 k!1618($i!val!6) = $i!val!6). % 1.04/1.19 tff(formula48, axiom, % 1.04/1.19 k!1618($i!val!8) = $i!val!8). % 1.04/1.19 tff(formula49, axiom, % 1.04/1.19 k!1618($i!val!4) = $i!val!4). % 1.04/1.19 tff(formula50, axiom, % 1.04/1.19 k!1618($i!val!7) = $i!val!7). % 1.04/1.19 tff(formula51, axiom, % 1.04/1.19 k!1618($i!val!9) = $i!val!9). % 1.04/1.19 tff(formula52, axiom, % 1.04/1.19 k!1618($i!val!15) = $i!val!15). % 1.04/1.19 tff(formula53, axiom, % 1.04/1.19 k!1618($i!val!2) = $i!val!2). % 1.04/1.19 tff(formula54, axiom, % 1.04/1.19 k!1618($i!val!11) = $i!val!11). % 1.04/1.19 tff(formula55, axiom, % 1.04/1.19 k!1618($i!val!13) = $i!val!13). % 1.04/1.19 tff(formula56, axiom, % 1.04/1.19 k!1618($i!val!12) = $i!val!12). % 1.04/1.19 tff(formula57, axiom, % 1.04/1.19 k!1618($i!val!3) = $i!val!3). % 1.04/1.19 tff(formula58, axiom, % 1.04/1.19 k!1618($i!val!14) = $i!val!14). % 1.04/1.19 tff(formula59, axiom, % 1.04/1.19 k!1618($i!val!10) = $i!val!10). % 1.04/1.19 tff(formula60, axiom, % 1.04/1.19 k!1618($i!val!1) = $i!val!1). % 1.04/1.19 tff(formula61, axiom, % 1.04/1.19 ![X0: $i] : ((~((($i!val!6 = X0)) | (($i!val!8 = X0)) | (($i!val!4 = X0)) | (($i!val!7 = X0)) | (($i!val!9 = X0)) | (($i!val!15 = X0)) | (($i!val!2 = X0)) | (($i!val!11 = X0)) | (($i!val!13 = X0)) | (($i!val!12 = X0)) | (($i!val!3 = X0)) | (($i!val!14 = X0)) | (($i!val!10 = X0)) | (($i!val!1 = X0)))) => (k!1618(X0) = $i!val!5))). % 1.04/1.19 tff(formula62, axiom, % 1.04/1.19 ![X0: $i, X1: $i] : (singleton(X0, X1) <=> $true)). % 1.04/1.19 tff(formula63, axiom, % 1.04/1.19 ![X0: $i] : (skf1(X0) = ite_t((k!1618(X0) = $i!val!7), $i!val!15, ite_t((k!1618(X0) = $i!val!1), $i!val!14, $i!val!13)))). % 1.04/1.20 tff(formula64, axiom, % 1.04/1.20 ![X0: $i, X1: $i] : (unisex(X0, X1) <=> ((~((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!8))) & (~((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!1))) & (~((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!7))) & (~((X1 = $i!val!6) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!1))) & (~((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!7))) & (~((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!1))) & (~((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!8))) & (~((X1 = $i!val!0) & (k!1618(X0) = $i!val!8))) & (~((X1 = $i!val!0) & (k!1618(X0) = $i!val!7))) & (~((X1 = $i!val!0) & (k!1618(X0) = $i!val!1)))))). % 1.04/1.20 tff(formula65, axiom, % 1.04/1.20 ![X0: $i, X1: $i, X2: $i] : (of(X0, X1, X2) <=> (((X2 = $i!val!0) & (k!1618(X1) = $i!val!6) & (k!1618(X0) = $i!val!7)) | ((X2 = $i!val!4) & (~(X2 = $i!val!0)) & (k!1618(X1) = $i!val!2) & (k!1618(X0) = $i!val!1)) | ((X2 = $i!val!0) & (k!1618(X1) = $i!val!9) & (k!1618(X0) = $i!val!8)) | ((X2 = $i!val!0) & (k!1618(X1) = $i!val!2) & (k!1618(X0) = $i!val!1)) | ((~(X2 = $i!val!6)) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (k!1618(X1) = $i!val!9) & (k!1618(X0) = $i!val!8)) | ((~(X2 = $i!val!6)) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (k!1618(X1) = $i!val!2) & (k!1618(X0) = $i!val!1)) | ((~(X2 = $i!val!6)) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!0)) & (k!1618(X1) = $i!val!6) & (k!1618(X0) = $i!val!7)) | ((X2 = $i!val!4) & (~(X2 = $i!val!0)) & (k!1618(X1) = $i!val!6) & (k!1618(X0) = $i!val!7)) | ((X2 = $i!val!4) & (~(X2 = $i!val!0)) & (k!1618(X1) = $i!val!9) & (k!1618(X0) = $i!val!8))))). % 1.04/1.20 tff(formula66, axiom, % 1.04/1.20 ![X0: $i, X1: $i] : (general(X0, X1) <=> (((X1 = $i!val!0) & (k!1618(X0) = $i!val!12)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!4)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!6)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!6)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!4)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!2)) | ((X1 = $i!val!0) & (k!1618(X0) = $i!val!9)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!4)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!9)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!6)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!9)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!2)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!12)) | ((~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!12)) | ((X1 = $i!val!4) & (~(X1 = $i!val!0)) & (k!1618(X0) = $i!val!2))))). % 1.04/1.20 % SZS output end Model % 1.04/1.20 % E exiting %------------------------------------------------------------------------------