%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : NLP044-1 : TPTP v9.0.0. Released v2.4.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Sat Jun 21 05:17:47 AM UTC 2025 % Result : Satisfiable 0.20s 0.49s % Output : Model 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : NLP044-1 : TPTP v9.0.0. Released v2.4.0. % 0.11/0.12 % Command : run_E %s %d THM % 0.12/0.33 % Computer : n015.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 23:41:10 EDT 2025 % 0.12/0.33 % CPUTime : % 0.20/0.49 % SZS status Satisfiable % 0.20/0.49 % SZS output start Model % 0.20/0.49 tff(tptp_fun__i_val_17_type, type, ( % 0.20/0.49 tptp_fun__i_val_17: $i)). % 0.20/0.49 tff(skc13_type, type, ( % 0.20/0.49 skc13: $i)). % 0.20/0.49 tff(ssSkC0_type, type, ( % 0.20/0.49 ssSkC0: $o)). % 0.20/0.49 tff(tptp_fun__i_val_6_type, type, ( % 0.20/0.49 tptp_fun__i_val_6: $i)). % 0.20/0.49 tff(skc36_type, type, ( % 0.20/0.49 skc36: $i)). % 0.20/0.49 tff(tptp_fun__i_val_2_type, type, ( % 0.20/0.49 tptp_fun__i_val_2: $i)). % 0.20/0.49 tff(skc34_type, type, ( % 0.20/0.49 skc34: $i)). % 0.20/0.49 tff(tptp_fun__i_val_4_type, type, ( % 0.20/0.49 tptp_fun__i_val_4: $i)). % 0.20/0.49 tff(skc38_type, type, ( % 0.20/0.49 skc38: $i)). % 0.20/0.49 tff(tptp_fun__i_val_3_type, type, ( % 0.20/0.49 tptp_fun__i_val_3: $i)). % 0.20/0.49 tff(skc37_type, type, ( % 0.20/0.49 skc37: $i)). % 0.20/0.49 tff(tptp_fun__i_val_0_type, type, ( % 0.20/0.49 tptp_fun__i_val_0: $i)). % 0.20/0.49 tff(skc33_type, type, ( % 0.20/0.49 skc33: $i)). % 0.20/0.49 tff(tptp_fun__i_val_1_type, type, ( % 0.20/0.49 tptp_fun__i_val_1: $i)). % 0.20/0.49 tff(skc12_type, type, ( % 0.20/0.49 skc12: $i)). % 0.20/0.49 tff(tptp_fun__i_val_5_type, type, ( % 0.20/0.49 tptp_fun__i_val_5: $i)). % 0.20/0.49 tff(skc35_type, type, ( % 0.20/0.49 skc35: $i)). % 0.20/0.49 tff(actual_world_type, type, ( % 0.20/0.49 actual_world: $i > $o)). % 0.20/0.49 tff(group_type, type, ( % 0.20/0.49 group: ( $i * $i ) > $o)). % 0.20/0.49 tff(shake_beverage_type, type, ( % 0.20/0.49 shake_beverage: ( $i * $i ) > $o)). % 0.20/0.49 tff(tptp_fun__i_val_20_type, type, ( % 0.20/0.49 tptp_fun__i_val_20: $i)). % 0.20/0.49 tff(tptp_fun__i_val_19_type, type, ( % 0.20/0.49 tptp_fun__i_val_19: $i)). % 0.20/0.49 tff(tptp_fun__i_val_8_type, type, ( % 0.20/0.49 tptp_fun__i_val_8: $i)). % 0.20/0.49 tff(tptp_fun__i_val_15_type, type, ( % 0.20/0.49 tptp_fun__i_val_15: $i)). % 0.20/0.49 tff(tptp_fun__i_val_18_type, type, ( % 0.20/0.49 tptp_fun__i_val_18: $i)). % 0.20/0.49 tff(tptp_fun__i_val_7_type, type, ( % 0.20/0.49 tptp_fun__i_val_7: $i)). % 0.20/0.49 tff(member_type, type, ( % 0.20/0.49 member: ( $i * $i * $i ) > $o)). % 0.20/0.49 tff(past_type, type, ( % 0.20/0.49 past: ( $i * $i ) > $o)). % 0.20/0.49 tff(k!549_type, type, ( % 0.20/0.49 k!549: $i > $i)). % 0.20/0.49 tff(ssSkP0_type, type, ( % 0.20/0.49 ssSkP0: ( $i * $i * $i ) > $o)). % 0.20/0.49 tff(tptp_fun__i_val_26_type, type, ( % 0.20/0.49 tptp_fun__i_val_26: $i)). % 0.20/0.49 tff(tptp_fun__i_val_24_type, type, ( % 0.20/0.49 tptp_fun__i_val_24: $i)). % 0.20/0.49 tff(tptp_fun__i_val_25_type, type, ( % 0.20/0.49 tptp_fun__i_val_25: $i)). % 0.20/0.49 tff(tptp_fun__i_val_14_type, type, ( % 0.20/0.49 tptp_fun__i_val_14: $i)). % 0.20/0.49 tff(tptp_fun__i_val_21_type, type, ( % 0.20/0.49 tptp_fun__i_val_21: $i)). % 0.20/0.49 tff(tptp_fun__i_val_22_type, type, ( % 0.20/0.49 tptp_fun__i_val_22: $i)). % 0.20/0.49 tff(tptp_fun__i_val_23_type, type, ( % 0.20/0.49 tptp_fun__i_val_23: $i)). % 0.20/0.49 tff(agent_type, type, ( % 0.20/0.49 agent: ( $i * $i * $i ) > $o)). % 0.20/0.49 tff(forename_type, type, ( % 0.20/0.49 forename: ( $i * $i ) > $o)). % 0.20/0.49 tff(patient_type, type, ( % 0.20/0.49 patient: ( $i * $i * $i ) > $o)). % 0.20/0.49 tff(nonreflexive_type, type, ( % 0.20/0.49 nonreflexive: ( $i * $i ) > $o)). % 0.20/0.49 tff(event_type, type, ( % 0.20/0.49 event: ( $i * $i ) > $o)). % 0.20/0.49 tff(dollar_type, type, ( % 0.20/0.49 dollar: ( $i * $i ) > $o)). % 0.20/0.49 tff(tptp_fun__i_val_9_type, type, ( % 0.20/0.49 tptp_fun__i_val_9: $i)). % 0.20/0.49 tff(tptp_fun__i_val_10_type, type, ( % 0.20/0.49 tptp_fun__i_val_10: $i)). % 0.20/0.49 tff(tptp_fun__i_val_11_type, type, ( % 0.20/0.49 tptp_fun__i_val_11: $i)). % 0.20/0.49 tff(tptp_fun__i_val_12_type, type, ( % 0.20/0.49 tptp_fun__i_val_12: $i)). % 0.20/0.49 tff(tptp_fun__i_val_13_type, type, ( % 0.20/0.49 tptp_fun__i_val_13: $i)). % 0.20/0.49 tff(skf6_type, type, ( % 0.20/0.49 skf6: ( $i * $i * $i ) > $i)). % 0.20/0.49 tff(woman_type, type, ( % 0.20/0.49 woman: ( $i * $i ) > $o)). % 0.20/0.49 tff(skf10_type, type, ( % 0.20/0.49 skf10: ( $i * $i ) > $i)). % 0.20/0.49 tff(present_type, type, ( % 0.20/0.49 present: ( $i * $i ) > $o)). % 0.20/0.49 tff(skf5_type, type, ( % 0.20/0.49 skf5: ( $i * $i ) > $i)). % 0.20/0.49 tff(cost_type, type, ( % 0.20/0.49 cost: ( $i * $i ) > $o)). % 0.20/0.49 tff(nonhuman_type, type, ( % 0.20/0.49 nonhuman: ( $i * $i ) > $o)). % 0.20/0.49 tff(tptp_fun__i_val_16_type, type, ( % 0.20/0.49 tptp_fun__i_val_16: $i)). % 0.20/0.49 tff(skf8_type, type, ( % 0.20/0.49 skf8: ( $i * $i * $i ) > $i)). % 0.20/0.49 tff(of_type, type, ( % 0.20/0.49 of: ( $i * $i * $i ) > $o)). % 0.20/0.49 tff(five_type, type, ( % 0.20/0.49 five: ( $i * $i ) > $o)). % 0.20/0.49 tff(mia_forename_type, type, ( % 0.20/0.49 mia_forename: ( $i * $i ) > $o)). % 0.20/0.49 tff(order_type, type, ( % 0.20/0.49 order: ( $i * $i ) > $o)). % 0.20/0.49 tff(formula1, axiom, % 0.20/0.49 skc13 = $i!val!17). % 0.20/0.49 tff(formula2, axiom, % 0.20/0.49 ssSkC0 <=> $false). % 0.20/0.49 tff(formula3, axiom, % 0.20/0.49 skc36 = $i!val!6). % 0.20/0.49 tff(formula4, axiom, % 0.20/0.49 skc34 = $i!val!2). % 0.20/0.49 tff(formula5, axiom, % 0.20/0.49 skc38 = $i!val!4). % 0.20/0.49 tff(formula6, axiom, % 0.20/0.49 skc37 = $i!val!3). % 0.20/0.49 tff(formula7, axiom, % 0.20/0.49 skc33 = $i!val!0). % 0.20/0.49 tff(formula8, axiom, % 0.20/0.49 skc12 = $i!val!1). % 0.20/0.49 tff(formula9, axiom, % 0.20/0.49 skc35 = $i!val!5). % 0.20/0.49 tff(formula10, axiom, % 0.20/0.49 ![X0: $i] : (actual_world(X0) <=> $true)). % 0.20/0.49 tff(formula11, axiom, % 0.20/0.50 ![X0: $i, X1: $i] : (group(X0, X1) <=> $true)). % 0.20/0.50 tff(formula12, axiom, % 0.20/0.50 ![X0: $i, X1: $i] : (shake_beverage(X0, X1) <=> $true)). % 0.20/0.50 tff(formula13, axiom, % 0.20/0.50 ![X0: $i, X1: $i, X2: $i] : (member(X0, X1, X2) <=> ((~((~(X2 = $i!val!1)) & (X1 = $i!val!7) & (~(X1 = $i!val!17)) & (~(X1 = $i!val!18)) & (~(X1 = $i!val!15)) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!19)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!20)))) & (~((X2 = $i!val!1) & (X1 = $i!val!6) & (~(X1 = $i!val!20)))) & (~((~(X2 = $i!val!1)) & (X1 = $i!val!6) & (~(X1 = $i!val!20))))))). % 0.20/0.50 tff(formula14, axiom, % 0.20/0.50 ![X0: $i, X1: $i] : (past(X0, X1) <=> $true)). % 0.20/0.50 tff(formula15, axiom, % 0.20/0.50 ![X0: $i, X1: $i, X2: $i] : (ssSkP0(X0, X1, X2) <=> ((k!549(X2) = $i!val!3) & (~(X0 = $i!val!1))))). % 0.20/0.50 tff(formula16, axiom, % 0.20/0.50 ![X0: $i, X1: $i, X2: $i] : (agent(X0, X1, X2) <=> (((~(X2 = $i!val!1)) & (k!549(X1) = $i!val!5) & (k!549(X0) = $i!val!4)) | ((~(X2 = $i!val!1)) & (k!549(X1) = $i!val!23) & (k!549(X0) = $i!val!3)) | ((~(X2 = $i!val!1)) & (k!549(X1) = $i!val!22) & (k!549(X0) = $i!val!3)) | ((~(X2 = $i!val!1)) & (k!549(X1) = $i!val!21) & (k!549(X0) = $i!val!3)) | ((~(X2 = $i!val!1)) & (k!549(X1) = $i!val!14) & (k!549(X0) = $i!val!3)) | ((~(X2 = $i!val!1)) & (k!549(X1) = $i!val!25) & (k!549(X0) = $i!val!3)) | ((~(X2 = $i!val!1)) & (k!549(X1) = $i!val!24) & (k!549(X0) = $i!val!3)) | ((~(X2 = $i!val!1)) & (k!549(X1) = $i!val!26) & (k!549(X0) = $i!val!3))))). % 0.20/0.50 tff(formula17, axiom, % 0.20/0.50 ![X0: $i, X1: $i] : (forename(X0, X1) <=> $true)). % 0.20/0.50 tff(formula18, axiom, % 0.20/0.50 ![X0: $i, X1: $i, X2: $i] : (patient(X0, X1, X2) <=> (~((~(X2 = $i!val!1)) & (k!549(X1) = $i!val!4) & (X0 = $i!val!8) & (~(X0 = $i!val!19)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!20)))))). % 0.20/0.50 tff(formula19, axiom, % 0.20/0.50 ![X0: $i, X1: $i] : (nonreflexive(X0, X1) <=> $true)). % 0.20/0.50 tff(formula20, axiom, % 0.20/0.50 ![X0: $i, X1: $i] : (event(X0, X1) <=> ((~((X1 = $i!val!1) & (k!549(X0) = $i!val!4))) & (~((X1 = $i!val!1) & (k!549(X0) = $i!val!5)))))). % 0.20/0.50 tff(formula21, axiom, % 0.20/0.50 ![X0: $i, X1: $i] : (dollar(X0, X1) <=> $true)). % 0.20/0.50 tff(formula22, axiom, % 0.20/0.50 ![X0: $i, X1: $i, X2: $i] : (skf6(X0, X1, X2) = ite_t(((~(X2 = $i!val!1)) & (X1 = $i!val!20) & (k!549(X0) = $i!val!3)), $i!val!26, ite_t(((~(X2 = $i!val!1)) & (X1 = $i!val!19) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!20)) & (k!549(X0) = $i!val!3)), $i!val!25, ite_t(((~(X2 = $i!val!1)) & (X1 = $i!val!18) & (~(X1 = $i!val!15)) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!19)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!20)) & (k!549(X0) = $i!val!3)), $i!val!24, ite_t(((~(X2 = $i!val!1)) & (X1 = $i!val!17) & (~(X1 = $i!val!18)) & (~(X1 = $i!val!15)) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!19)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!20)) & (k!549(X0) = $i!val!3)), $i!val!23, ite_t(((~(X2 = $i!val!1)) & (~(X1 = $i!val!7)) & (~(X1 = $i!val!17)) & (~(X1 = $i!val!18)) & (~(X1 = $i!val!15)) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!19)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!20)) & (k!549(X0) = $i!val!3)), $i!val!22, ite_t(((~(X2 = $i!val!1)) & (X1 = $i!val!15) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!19)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!20)) & (k!549(X0) = $i!val!3)), $i!val!21, ite_t(((~(X2 = $i!val!1)) & (X1 = $i!val!8) & (~(X1 = $i!val!19)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!20)) & (k!549(X0) = $i!val!3)), $i!val!14, ite_t(((~(X2 = $i!val!1)) & (X1 = $i!val!7) & (~(X1 = $i!val!17)) & (~(X1 = $i!val!18)) & (~(X1 = $i!val!15)) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!19)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!20)) & (k!549(X0) = $i!val!3)), $i!val!13, ite_t(((~(X2 = $i!val!1)) & (X1 = $i!val!6) & (~(X1 = $i!val!20)) & (k!549(X0) = $i!val!3)), $i!val!12, ite_t(((~(X2 = $i!val!1)) & (X1 = $i!val!7) & (~(X1 = $i!val!17)) & (~(X1 = $i!val!18)) & (~(X1 = $i!val!15)) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!19)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!20)) & (k!549(X0) = $i!val!4)), $i!val!11, ite_t(((~(X2 = $i!val!1)) & (X1 = $i!val!8) & (~(X1 = $i!val!19)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!20)) & (k!549(X0) = $i!val!4)), $i!val!10, $i!val!9))))))))))))). % 0.20/0.50 tff(formula23, axiom, % 0.20/0.50 ![X0: $i, X1: $i] : (woman(X0, X1) <=> ((~(X1 = $i!val!1)) & (k!549(X0) = $i!val!4)))). % 0.20/0.50 tff(formula24, axiom, % 0.20/0.50 ![X0: $i, X1: $i] : (skf10(X0, X1) = $i!val!7)). % 0.20/0.50 tff(formula25, axiom, % 0.20/0.50 ![X0: $i, X1: $i] : (present(X0, X1) <=> (~((~(X1 = $i!val!1)) & (k!549(X0) = $i!val!5))))). % 0.20/0.50 tff(formula26, axiom, % 0.20/0.50 ![X0: $i, X1: $i] : (skf5(X0, X1) = $i!val!4)). % 0.20/0.50 tff(formula27, axiom, % 0.20/0.50 ![X0: $i, X1: $i] : (cost(X0, X1) <=> $true)). % 0.20/0.50 tff(formula28, axiom, % 0.20/0.50 ![X0: $i, X1: $i] : (nonhuman(X0, X1) <=> $true)). % 0.20/0.50 tff(formula29, axiom, % 0.20/0.50 ![X0: $i, X1: $i, X2: $i] : (skf8(X0, X1, X2) = ite_t(((k!549(X2) = $i!val!9) & (~(X1 = $i!val!1))), $i!val!20, ite_t(((k!549(X2) = $i!val!14) & (~(X1 = $i!val!1))), $i!val!19, ite_t(((k!549(X2) = $i!val!4) & (~(X1 = $i!val!1))), $i!val!18, ite_t(((k!549(X2) = $i!val!10) & (~(X1 = $i!val!1))), $i!val!17, ite_t(((k!549(X2) = $i!val!11) & (~(X1 = $i!val!1))), $i!val!16, ite_t(((k!549(X2) = $i!val!13) & (~(X1 = $i!val!1))), $i!val!15, $i!val!8)))))))). % 0.20/0.50 tff(formula30, axiom, % 0.20/0.50 ![X0: $i, X1: $i, X2: $i] : (of(X0, X1, X2) <=> $true)). % 0.20/0.50 tff(formula31, axiom, % 0.20/0.50 ![X0: $i, X1: $i] : (five(X0, X1) <=> $true)). % 0.20/0.50 tff(formula32, axiom, % 0.20/0.50 ![X0: $i, X1: $i] : (mia_forename(X0, X1) <=> (~((X1 = $i!val!1) & (k!549(X0) = $i!val!3))))). % 0.20/0.50 tff(formula33, axiom, % 0.20/0.50 k!549($i!val!13) = $i!val!13). % 0.20/0.50 tff(formula34, axiom, % 0.20/0.50 k!549($i!val!25) = $i!val!25). % 0.20/0.50 tff(formula35, axiom, % 0.20/0.50 k!549($i!val!9) = $i!val!9). % 0.20/0.50 tff(formula36, axiom, % 0.20/0.50 k!549($i!val!4) = $i!val!4). % 0.20/0.50 tff(formula37, axiom, % 0.20/0.50 k!549($i!val!3) = $i!val!3). % 0.20/0.50 tff(formula38, axiom, % 0.20/0.50 k!549($i!val!11) = $i!val!11). % 0.20/0.50 tff(formula39, axiom, % 0.20/0.50 k!549($i!val!22) = $i!val!22). % 0.20/0.50 tff(formula40, axiom, % 0.20/0.50 k!549($i!val!14) = $i!val!14). % 0.20/0.50 tff(formula41, axiom, % 0.20/0.50 k!549($i!val!24) = $i!val!24). % 0.20/0.50 tff(formula42, axiom, % 0.20/0.50 k!549($i!val!26) = $i!val!26). % 0.20/0.50 tff(formula43, axiom, % 0.20/0.50 k!549($i!val!5) = $i!val!5). % 0.20/0.50 tff(formula44, axiom, % 0.20/0.50 k!549($i!val!12) = $i!val!12). % 0.20/0.50 tff(formula45, axiom, % 0.20/0.50 k!549($i!val!21) = $i!val!21). % 0.20/0.50 tff(formula46, axiom, % 0.20/0.50 k!549($i!val!23) = $i!val!23). % 0.20/0.50 tff(formula47, axiom, % 0.20/0.50 ![X0: $i] : ((~((($i!val!13 = X0)) | (($i!val!25 = X0)) | (($i!val!9 = X0)) | (($i!val!4 = X0)) | (($i!val!3 = X0)) | (($i!val!11 = X0)) | (($i!val!22 = X0)) | (($i!val!14 = X0)) | (($i!val!24 = X0)) | (($i!val!26 = X0)) | (($i!val!5 = X0)) | (($i!val!12 = X0)) | (($i!val!21 = X0)) | (($i!val!23 = X0)))) => (k!549(X0) = $i!val!10))). % 0.20/0.50 tff(formula48, axiom, % 0.20/0.50 ![X0: $i, X1: $i] : (order(X0, X1) <=> $true)). % 0.20/0.50 % SZS output end Model % 0.20/0.50 % E exiting %------------------------------------------------------------------------------