%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : NLP254-1 : TPTP v9.0.0. Released v2.4.0. % 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 05:18:36 AM UTC 2025 % Result : Satisfiable 0.57s 0.74s % Output : Model 0.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : NLP254-1 : TPTP v9.0.0. Released v2.4.0. % 0.04/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n002.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 300 % 0.12/0.33 % DateTime : Thu Jun 19 23:58:16 EDT 2025 % 0.12/0.33 % CPUTime : % 0.57/0.74 % SZS status Satisfiable % 0.57/0.74 % SZS output start Model % 0.57/0.74 tff(tptp_fun__i_val_3_type, type, ( % 0.57/0.74 tptp_fun__i_val_3: $i)). % 0.57/0.74 tff(skc13_type, type, ( % 0.57/0.74 skc13: $i)). % 0.57/0.74 tff(tptp_fun__i_val_0_type, type, ( % 0.57/0.74 tptp_fun__i_val_0: $i)). % 0.57/0.74 tff(skc8_type, type, ( % 0.57/0.74 skc8: $i)). % 0.57/0.74 tff(tptp_fun__i_val_1_type, type, ( % 0.57/0.74 tptp_fun__i_val_1: $i)). % 0.57/0.74 tff(skc15_type, type, ( % 0.57/0.74 skc15: $i)). % 0.57/0.74 tff(tptp_fun__i_val_6_type, type, ( % 0.57/0.74 tptp_fun__i_val_6: $i)). % 0.57/0.74 tff(skc9_type, type, ( % 0.57/0.74 skc9: $i)). % 0.57/0.74 tff(tptp_fun__i_val_2_type, type, ( % 0.57/0.74 tptp_fun__i_val_2: $i)). % 0.57/0.74 tff(skc14_type, type, ( % 0.57/0.74 skc14: $i)). % 0.57/0.74 tff(tptp_fun__i_val_4_type, type, ( % 0.57/0.74 tptp_fun__i_val_4: $i)). % 0.57/0.74 tff(skc11_type, type, ( % 0.57/0.74 skc11: $i)). % 0.57/0.74 tff(tptp_fun__i_val_5_type, type, ( % 0.57/0.74 tptp_fun__i_val_5: $i)). % 0.57/0.74 tff(skc10_type, type, ( % 0.57/0.74 skc10: $i)). % 0.57/0.74 tff(tptp_fun__i_val_7_type, type, ( % 0.57/0.74 tptp_fun__i_val_7: $i)). % 0.57/0.74 tff(skc12_type, type, ( % 0.57/0.74 skc12: $i)). % 0.57/0.74 tff(actual_world_type, type, ( % 0.57/0.74 actual_world: $i > $o)). % 0.57/0.74 tff(k!1005_type, type, ( % 0.57/0.74 k!1005: $i > $i)). % 0.57/0.74 tff(state_type, type, ( % 0.57/0.74 state: ( $i * $i ) > $o)). % 0.57/0.75 tff(thing_type, type, ( % 0.57/0.75 thing: ( $i * $i ) > $o)). % 0.57/0.75 tff(tptp_fun__i_val_9_type, type, ( % 0.57/0.75 tptp_fun__i_val_9: $i)). % 0.57/0.75 tff(tptp_fun__i_val_8_type, type, ( % 0.57/0.75 tptp_fun__i_val_8: $i)). % 0.57/0.75 tff(smoke_type, type, ( % 0.57/0.75 smoke: ( $i * $i ) > $o)). % 0.57/0.75 tff(relname_type, type, ( % 0.57/0.75 relname: ( $i * $i ) > $o)). % 0.57/0.75 tff(abstraction_type, type, ( % 0.57/0.75 abstraction: ( $i * $i ) > $o)). % 0.57/0.75 tff(vincent_forename_type, type, ( % 0.57/0.75 vincent_forename: ( $i * $i ) > $o)). % 0.57/0.75 tff(agent_type, type, ( % 0.57/0.75 agent: ( $i * $i * $i ) > $o)). % 0.57/0.75 tff(living_type, type, ( % 0.57/0.75 living: ( $i * $i ) > $o)). % 0.57/0.75 tff(event_type, type, ( % 0.57/0.75 event: ( $i * $i ) > $o)). % 0.57/0.75 tff(human_type, type, ( % 0.57/0.75 human: ( $i * $i ) > $o)). % 0.57/0.75 tff(existent_type, type, ( % 0.57/0.75 existent: ( $i * $i ) > $o)). % 0.57/0.75 tff(animate_type, type, ( % 0.57/0.75 animate: ( $i * $i ) > $o)). % 0.57/0.75 tff(proposition_type, type, ( % 0.57/0.75 proposition: ( $i * $i ) > $o)). % 0.57/0.75 tff(organism_type, type, ( % 0.57/0.75 organism: ( $i * $i ) > $o)). % 0.57/0.75 tff(nonhuman_type, type, ( % 0.57/0.75 nonhuman: ( $i * $i ) > $o)). % 0.57/0.75 tff(man_type, type, ( % 0.57/0.75 man: ( $i * $i ) > $o)). % 0.57/0.75 tff(eventuality_type, type, ( % 0.57/0.75 eventuality: ( $i * $i ) > $o)). % 0.57/0.75 tff(relation_type, type, ( % 0.57/0.75 relation: ( $i * $i ) > $o)). % 0.57/0.75 tff(impartial_type, type, ( % 0.57/0.75 impartial: ( $i * $i ) > $o)). % 0.57/0.75 tff(entity_type, type, ( % 0.57/0.75 entity: ( $i * $i ) > $o)). % 0.57/0.75 tff(male_type, type, ( % 0.57/0.75 male: ( $i * $i ) > $o)). % 0.57/0.75 tff(think_believe_consider_type, type, ( % 0.57/0.75 think_believe_consider: ( $i * $i ) > $o)). % 0.57/0.75 tff(accessible_world_type, type, ( % 0.57/0.75 accessible_world: ( $i * $i ) > $o)). % 0.57/0.75 tff(specific_type, type, ( % 0.57/0.75 specific: ( $i * $i ) > $o)). % 0.57/0.75 tff(forename_type, type, ( % 0.57/0.75 forename: ( $i * $i ) > $o)). % 0.57/0.75 tff(theme_type, type, ( % 0.57/0.75 theme: ( $i * $i * $i ) > $o)). % 0.57/0.75 tff(jules_forename_type, type, ( % 0.57/0.75 jules_forename: ( $i * $i ) > $o)). % 0.57/0.75 tff(be_type, type, ( % 0.57/0.75 be: ( $i * $i * $i * $i ) > $o)). % 0.57/0.75 tff(nonexistent_type, type, ( % 0.57/0.75 nonexistent: ( $i * $i ) > $o)). % 0.57/0.75 tff(present_type, type, ( % 0.57/0.75 present: ( $i * $i ) > $o)). % 0.57/0.75 tff(human_person_type, type, ( % 0.57/0.75 human_person: ( $i * $i ) > $o)). % 0.57/0.75 tff(singleton_type, type, ( % 0.57/0.75 singleton: ( $i * $i ) > $o)). % 0.57/0.75 tff(skf2_type, type, ( % 0.57/0.75 skf2: $i > $i)). % 0.57/0.75 tff(unisex_type, type, ( % 0.57/0.75 unisex: ( $i * $i ) > $o)). % 0.57/0.75 tff(of_type, type, ( % 0.57/0.75 of: ( $i * $i * $i ) > $o)). % 0.57/0.75 tff(skf4_type, type, ( % 0.57/0.75 skf4: $i > $i)). % 0.57/0.75 tff(general_type, type, ( % 0.57/0.75 general: ( $i * $i ) > $o)). % 0.57/0.75 tff(formula1, axiom, % 0.57/0.75 skc13 = $i!val!3). % 0.57/0.75 tff(formula2, axiom, % 0.57/0.75 skc8 = $i!val!0). % 0.57/0.75 tff(formula3, axiom, % 0.57/0.75 skc15 = $i!val!1). % 0.57/0.75 tff(formula4, axiom, % 0.57/0.75 skc9 = $i!val!6). % 0.57/0.75 tff(formula5, axiom, % 0.57/0.75 skc14 = $i!val!2). % 0.57/0.75 tff(formula6, axiom, % 0.57/0.75 skc11 = $i!val!4). % 0.57/0.75 tff(formula7, axiom, % 0.57/0.75 skc10 = $i!val!5). % 0.57/0.75 tff(formula8, axiom, % 0.57/0.75 skc12 = $i!val!7). % 0.57/0.75 tff(formula9, axiom, % 0.57/0.75 ![X0: $i] : (actual_world(X0) <=> $true)). % 0.57/0.75 tff(formula10, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (state(X0, X1) <=> (((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!6)) | ((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!6))))). % 0.57/0.75 tff(formula11, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (thing(X0, X1) <=> $true)). % 0.57/0.75 tff(formula12, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (smoke(X0, X1) <=> (((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!8)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!9))))). % 0.57/0.75 tff(formula13, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (relname(X0, X1) <=> (((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!4)) | ((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!2)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!4)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!2))))). % 0.57/0.75 tff(formula14, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (abstraction(X0, X1) <=> (((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!7)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!7)) | ((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!4)) | ((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!2)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!4)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!2))))). % 0.57/0.75 tff(formula15, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (vincent_forename(X0, X1) <=> (((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!2)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!2))))). % 0.57/0.75 tff(formula16, axiom, % 0.57/0.75 ![X0: $i, X1: $i, X2: $i] : (agent(X0, X1, X2) <=> $true)). % 0.57/0.75 tff(formula17, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (living(X0, X1) <=> $true)). % 0.57/0.75 tff(formula18, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (event(X0, X1) <=> (((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!3)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!3)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!8)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!9)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!6)) | ((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!6))))). % 0.57/0.75 tff(formula19, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (human(X0, X1) <=> (((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!1)) | ((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!5)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!5)) | ((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!1))))). % 0.57/0.75 tff(formula20, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (existent(X0, X1) <=> (((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!1)) | ((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!5)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!5)) | ((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!1))))). % 0.57/0.75 tff(formula21, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (animate(X0, X1) <=> $true)). % 0.57/0.75 tff(formula22, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (proposition(X0, X1) <=> (((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!7)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!7))))). % 0.57/0.75 tff(formula23, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (organism(X0, X1) <=> (((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!1)) | ((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!5)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!5)) | ((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!1))))). % 0.57/0.75 tff(formula24, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (nonhuman(X0, X1) <=> ((~((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!5))) & (~((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!1))) & (~((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!5))) & (~((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!1)))))). % 0.57/0.75 tff(formula25, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (man(X0, X1) <=> (((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!1)) | ((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!5)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!5)) | ((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!1))))). % 0.57/0.75 tff(formula26, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (eventuality(X0, X1) <=> (((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!3)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!3)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!8)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!9)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!6)) | ((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!6))))). % 0.57/0.75 tff(formula27, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (relation(X0, X1) <=> (((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!7)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!7)) | ((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!4)) | ((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!2)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!4)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!2))))). % 0.57/0.75 tff(formula28, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (impartial(X0, X1) <=> $true)). % 0.57/0.75 tff(formula29, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (entity(X0, X1) <=> (((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!1)) | ((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!5)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!5)) | ((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!1))))). % 0.57/0.75 tff(formula30, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (male(X0, X1) <=> (((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!1)) | ((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!5)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!5)) | ((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!1))))). % 0.57/0.75 tff(formula31, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (think_believe_consider(X0, X1) <=> $true)). % 0.57/0.75 tff(formula32, axiom, % 0.57/0.75 k!1005($i!val!0) = $i!val!0). % 0.57/0.75 tff(formula33, axiom, % 0.57/0.75 k!1005($i!val!8) = $i!val!8). % 0.57/0.75 tff(formula34, axiom, % 0.57/0.75 k!1005($i!val!1) = $i!val!1). % 0.57/0.75 tff(formula35, axiom, % 0.57/0.75 k!1005($i!val!6) = $i!val!6). % 0.57/0.75 tff(formula36, axiom, % 0.57/0.75 k!1005($i!val!2) = $i!val!2). % 0.57/0.75 tff(formula37, axiom, % 0.57/0.75 k!1005($i!val!9) = $i!val!9). % 0.57/0.75 tff(formula38, axiom, % 0.57/0.75 k!1005($i!val!4) = $i!val!4). % 0.57/0.75 tff(formula39, axiom, % 0.57/0.75 k!1005($i!val!7) = $i!val!7). % 0.57/0.75 tff(formula40, axiom, % 0.57/0.75 k!1005($i!val!5) = $i!val!5). % 0.57/0.75 tff(formula41, axiom, % 0.57/0.75 ![X0: $i] : ((~((($i!val!0 = X0)) | (($i!val!8 = X0)) | (($i!val!1 = X0)) | (($i!val!6 = X0)) | (($i!val!2 = X0)) | (($i!val!9 = X0)) | (($i!val!4 = X0)) | (($i!val!7 = X0)) | (($i!val!5 = X0)))) => (k!1005(X0) = $i!val!3))). % 0.57/0.75 tff(formula42, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (accessible_world(X0, X1) <=> ((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!7)))). % 0.57/0.75 tff(formula43, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (specific(X0, X1) <=> ((~((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!2))) & (~((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!7))) & (~((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!4))) & (~((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!4))) & (~((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!2))) & (~((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!7)))))). % 0.57/0.75 tff(formula44, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (forename(X0, X1) <=> (((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!4)) | ((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!2)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!4)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!2))))). % 0.57/0.75 tff(formula45, axiom, % 0.57/0.75 ![X0: $i, X1: $i, X2: $i] : (theme(X0, X1, X2) <=> $true)). % 0.57/0.75 tff(formula46, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (jules_forename(X0, X1) <=> (((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!4)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!4))))). % 0.57/0.75 tff(formula47, axiom, % 0.57/0.75 ![X0: $i, X1: $i, X2: $i, X3: $i] : (be(X0, X1, X2, X3) <=> (((k!1005(X3) = $i!val!0) & (k!1005(X2) = $i!val!6) & (k!1005(X1) = $i!val!5) & (k!1005(X0) = $i!val!5)) | ((k!1005(X3) = $i!val!7) & (k!1005(X2) = $i!val!6) & (k!1005(X1) = $i!val!5) & (k!1005(X0) = $i!val!5))))). % 0.57/0.75 tff(formula48, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (nonexistent(X0, X1) <=> ((~((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!5))) & (~((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!1))) & (~((k!1005(X1) = $i!val!3) & (k!1005(X0) = $i!val!1))) & (~((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!5))) & (~((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!1)))))). % 0.57/0.75 tff(formula49, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (present(X0, X1) <=> $true)). % 0.57/0.75 tff(formula50, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (human_person(X0, X1) <=> (((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!1)) | ((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!5)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!5)) | ((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!1))))). % 0.57/0.75 tff(formula51, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (singleton(X0, X1) <=> $true)). % 0.57/0.75 tff(formula52, axiom, % 0.57/0.75 ![X0: $i] : (skf2(X0) = ite_t((k!1005(X0) = $i!val!5), $i!val!9, $i!val!8))). % 0.57/0.75 tff(formula53, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (unisex(X0, X1) <=> ((~((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!5))) & (~((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!1))) & (~((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!5))) & (~((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!1)))))). % 0.57/0.75 tff(formula54, axiom, % 0.57/0.75 ![X0: $i, X1: $i, X2: $i] : (of(X0, X1, X2) <=> ((~((k!1005(X2) = $i!val!7) & (k!1005(X1) = $i!val!2) & (k!1005(X0) = $i!val!5))) & (~((k!1005(X2) = $i!val!7) & (k!1005(X1) = $i!val!4) & (k!1005(X0) = $i!val!1))) & (~((k!1005(X2) = $i!val!0) & (k!1005(X1) = $i!val!2) & (k!1005(X0) = $i!val!5))) & (~((k!1005(X2) = $i!val!0) & (k!1005(X1) = $i!val!4) & (k!1005(X0) = $i!val!1)))))). % 0.57/0.75 tff(formula55, axiom, % 0.57/0.75 ![X0: $i] : (skf4(X0) = $i!val!5)). % 0.57/0.75 tff(formula56, axiom, % 0.57/0.75 ![X0: $i, X1: $i] : (general(X0, X1) <=> (((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!7)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!7)) | ((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!4)) | ((k!1005(X1) = $i!val!0) & (k!1005(X0) = $i!val!2)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!4)) | ((k!1005(X1) = $i!val!7) & (k!1005(X0) = $i!val!2))))). % 0.57/0.75 % SZS output end Model % 0.57/0.75 % E exiting %------------------------------------------------------------------------------