%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : LAT386+1 : TPTP v9.0.0. Released v4.0.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n014.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 05:14:37 AM UTC 2025 % Result : CounterSatisfiable 137.26s 137.51s % Output : Model 137.26s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : LAT386+1 : TPTP v9.0.0. Released v4.0.0. % 0.11/0.11 % Command : run_E %s %d THM % 0.11/0.32 % Computer : n014.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 20:51:24 EDT 2025 % 0.11/0.32 % CPUTime : % 137.26/137.51 % SZS status CounterSatisfiable % 137.26/137.51 % SZS output start Model % 137.26/137.51 tff(tptp_fun__i_val_3_type, type, ( % 137.26/137.51 tptp_fun__i_val_3: $i)). % 137.26/137.51 tff(xT_type, type, ( % 137.26/137.51 xT: $i)). % 137.26/137.51 tff(tptp_fun__i_val_1_type, type, ( % 137.26/137.51 tptp_fun__i_val_1: $i)). % 137.26/137.51 tff(xf_type, type, ( % 137.26/137.51 xf: $i)). % 137.26/137.51 tff(tptp_fun__i_val_4_type, type, ( % 137.26/137.51 tptp_fun__i_val_4: $i)). % 137.26/137.51 tff(xP_type, type, ( % 137.26/137.51 xP: $i)). % 137.26/137.51 tff(tptp_fun__i_val_0_type, type, ( % 137.26/137.51 tptp_fun__i_val_0: $i)). % 137.26/137.51 tff(xU_type, type, ( % 137.26/137.51 xU: $i)). % 137.26/137.51 tff(tptp_fun__i_val_5_type, type, ( % 137.26/137.51 tptp_fun__i_val_5: $i)). % 137.26/137.51 tff(xp_type, type, ( % 137.26/137.51 xp: $i)). % 137.26/137.51 tff(tptp_fun__i_val_2_type, type, ( % 137.26/137.51 tptp_fun__i_val_2: $i)). % 137.26/137.51 tff(xS_type, type, ( % 137.26/137.51 xS: $i)). % 137.26/137.51 tff(aFunction0_type, type, ( % 137.26/137.51 aFunction0: $i > $o)). % 137.26/137.51 tff(tptp_fun__i_val_11_type, type, ( % 137.26/137.51 tptp_fun__i_val_11: $i)). % 137.26/137.51 tff(tptp_fun__i_val_10_type, type, ( % 137.26/137.51 tptp_fun__i_val_10: $i)). % 137.26/137.51 tff(tptp_fun__i_val_9_type, type, ( % 137.26/137.51 tptp_fun__i_val_9: $i)). % 137.26/137.51 tff(tptp_fun__i_val_8_type, type, ( % 137.26/137.51 tptp_fun__i_val_8: $i)). % 137.26/137.51 tff(tptp_fun__i_val_7_type, type, ( % 137.26/137.51 tptp_fun__i_val_7: $i)). % 137.26/137.51 tff(aSupremumOfIn0_type, type, ( % 137.26/137.51 aSupremumOfIn0: ( $i * $i * $i ) > $o)). % 137.26/137.51 tff(aElement0_type, type, ( % 137.26/137.51 aElement0: $i > $o)). % 137.26/137.51 tff(aSubsetOf0_type, type, ( % 137.26/137.51 aSubsetOf0: ( $i * $i ) > $o)). % 137.26/137.51 tff(aFixedPointOf0_type, type, ( % 137.26/137.51 aFixedPointOf0: ( $i * $i ) > $o)). % 137.26/137.51 tff(tptp_fun__i_val_6_type, type, ( % 137.26/137.51 tptp_fun__i_val_6: $i)). % 137.26/137.51 tff(sdtlpdtrp0_type, type, ( % 137.26/137.51 sdtlpdtrp0: ( $i * $i ) > $i)). % 137.26/137.51 tff(aElementOf0_type, type, ( % 137.26/137.51 aElementOf0: ( $i * $i ) > $o)). % 137.26/137.51 tff(szDzozmdt0_type, type, ( % 137.26/137.51 szDzozmdt0: $i > $i)). % 137.26/137.51 tff(cS1241_type, type, ( % 137.26/137.51 cS1241: ( $i * $i * $i ) > $i)). % 137.26/137.51 tff(sdtlseqdt0_type, type, ( % 137.26/137.51 sdtlseqdt0: ( $i * $i ) > $o)). % 137.26/137.51 tff(aInfimumOfIn0_type, type, ( % 137.26/137.51 aInfimumOfIn0: ( $i * $i * $i ) > $o)). % 137.26/137.51 tff(aUpperBoundOfIn0_type, type, ( % 137.26/137.51 aUpperBoundOfIn0: ( $i * $i * $i ) > $o)). % 137.26/137.51 tff(isOn0_type, type, ( % 137.26/137.51 isOn0: ( $i * $i ) > $o)). % 137.26/137.51 tff(aLowerBoundOfIn0_type, type, ( % 137.26/137.51 aLowerBoundOfIn0: ( $i * $i * $i ) > $o)). % 137.26/137.51 tff(cS1142_type, type, ( % 137.26/137.51 cS1142: $i > $i)). % 137.26/137.51 tff(isEmpty0_type, type, ( % 137.26/137.51 isEmpty0: $i > $o)). % 137.26/137.51 tff(szRzazndt0_type, type, ( % 137.26/137.51 szRzazndt0: $i > $i)). % 137.26/137.51 tff(isMonotone0_type, type, ( % 137.26/137.51 isMonotone0: $i > $o)). % 137.26/137.51 tff(aSet0_type, type, ( % 137.26/137.51 aSet0: $i > $o)). % 137.26/137.51 tff(aCompleteLattice0_type, type, ( % 137.26/137.51 aCompleteLattice0: $i > $o)). % 137.26/137.51 tff(formula1, axiom, % 137.26/137.51 xT = $i!val!3). % 137.26/137.51 tff(formula2, axiom, % 137.26/137.51 xf = $i!val!1). % 137.26/137.51 tff(formula3, axiom, % 137.26/137.51 xP = $i!val!4). % 137.26/137.51 tff(formula4, axiom, % 137.26/137.51 xU = $i!val!0). % 137.26/137.51 tff(formula5, axiom, % 137.26/137.51 xp = $i!val!5). % 137.26/137.51 tff(formula6, axiom, % 137.26/137.51 xS = $i!val!2). % 137.26/137.51 tff(formula7, axiom, % 137.26/137.51 ![X0: $i] : (aFunction0(X0) <=> $true)). % 137.26/137.51 tff(formula8, axiom, % 137.26/137.51 ![X0: $i, X1: $i, X2: $i] : (aSupremumOfIn0(X0, X1, X2) <=> ((X2 = $i!val!7) & (~(X2 = $i!val!8)) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!9)) & (~(X2 = $i!val!10)) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!11)) & (X1 = $i!val!0) & (X0 = $i!val!0)))). % 137.26/137.51 tff(formula9, axiom, % 137.26/137.51 ![X0: $i] : (aElement0(X0) <=> ((X0 = $i!val!7) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!10)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!11))))). % 137.26/137.51 tff(formula10, axiom, % 137.26/137.51 ![X0: $i, X1: $i] : (aSubsetOf0(X0, X1) <=> (((X1 = $i!val!0) & (X0 = $i!val!0)) | ((X1 = $i!val!3) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!0)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!0)))))). % 137.26/137.51 tff(formula11, axiom, % 137.26/137.51 aFixedPointOf0($i!val!7, $i!val!1) <=> $true). % 137.26/137.51 tff(formula12, axiom, % 137.26/137.51 aFixedPointOf0($i!val!8, $i!val!1) <=> $false). % 137.26/137.51 tff(formula13, axiom, % 137.26/137.51 aFixedPointOf0($i!val!5, $i!val!1) <=> $false). % 137.26/137.51 tff(formula14, axiom, % 137.26/137.51 aFixedPointOf0($i!val!6, $i!val!1) <=> $false). % 137.26/137.51 tff(formula15, axiom, % 137.26/137.51 aFixedPointOf0($i!val!11, $i!val!1) <=> $false). % 137.26/137.51 tff(formula16, axiom, % 137.26/137.51 aFixedPointOf0($i!val!4, $i!val!1) <=> $false). % 137.26/137.51 tff(formula17, axiom, % 137.26/137.51 aFixedPointOf0($i!val!3, $i!val!1) <=> $false). % 137.26/137.51 tff(formula18, axiom, % 137.26/137.51 ![X0: $i, X1: $i] : ((~((($i!val!7 = X0) & ($i!val!1 = X1)) | (($i!val!8 = X0) & ($i!val!1 = X1)) | (($i!val!5 = X0) & ($i!val!1 = X1)) | (($i!val!6 = X0) & ($i!val!1 = X1)) | (($i!val!11 = X0) & ($i!val!1 = X1)) | (($i!val!4 = X0) & ($i!val!1 = X1)) | (($i!val!3 = X0) & ($i!val!1 = X1)))) => (aFixedPointOf0(X0, X1) <=> (~((~aElementOf0(X1, szDzozmdt0($i!val!1))) | (~(sdtlpdtrp0($i!val!1, X1) = X1))))))). % 137.26/137.51 tff(formula19, axiom, % 137.26/137.51 ![X0: $i, X1: $i, X2: $i] : (cS1241(X0, X1, X2) = $i!val!4)). % 137.26/137.51 tff(formula20, axiom, % 137.26/137.51 ![X0: $i, X1: $i] : (sdtlseqdt0(X0, X1) <=> ((X1 = $i!val!7) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!9)) & (~(X1 = $i!val!10)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!11)) & (X0 = $i!val!7) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!10)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!11))))). % 137.26/137.51 tff(formula21, axiom, % 137.26/137.51 ![X0: $i, X1: $i] : (sdtlpdtrp0(X0, X1) = ite_t(((X0 = $i!val!7) & (~(X0 = $i!val!8)) & (~(X0 = $i!val!3)) & (~(X0 = $i!val!4)) & (~(X0 = $i!val!9)) & (~(X0 = $i!val!10)) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!11))), $i!val!7, $i!val!6))). % 137.26/137.51 tff(formula22, axiom, % 137.26/137.51 ![X0: $i, X1: $i, X2: $i] : (aInfimumOfIn0(X0, X1, X2) <=> (((X2 = $i!val!7) & (~(X2 = $i!val!8)) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!9)) & (~(X2 = $i!val!10)) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!11)) & (X1 = $i!val!0) & (X0 = $i!val!0)) | ((X2 = $i!val!5) & (~(X2 = $i!val!11)) & (X1 = $i!val!4) & (~(X1 = $i!val!0)) & (X0 = $i!val!0))))). % 137.26/137.51 tff(formula23, axiom, % 137.26/137.51 ![X0: $i, X1: $i, X2: $i] : (aUpperBoundOfIn0(X0, X1, X2) <=> ((X2 = $i!val!7) & (~(X2 = $i!val!8)) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!9)) & (~(X2 = $i!val!10)) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!11)) & (X1 = $i!val!0) & (X0 = $i!val!0)))). % 137.26/137.51 tff(formula24, axiom, % 137.26/137.51 ![X0: $i, X1: $i] : (isOn0(X0, X1) <=> $true)). % 137.26/137.51 tff(formula25, axiom, % 137.26/137.51 ![X0: $i, X1: $i, X2: $i] : (aLowerBoundOfIn0(X0, X1, X2) <=> ((X2 = $i!val!7) & (~(X2 = $i!val!8)) & (~(X2 = $i!val!3)) & (~(X2 = $i!val!4)) & (~(X2 = $i!val!9)) & (~(X2 = $i!val!10)) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!11)) & (X1 = $i!val!0) & (X0 = $i!val!0)))). % 137.26/137.51 tff(formula26, axiom, % 137.26/137.51 ![X0: $i] : (cS1142(X0) = $i!val!2)). % 137.26/137.51 tff(formula27, axiom, % 137.26/137.51 ![X0: $i] : (isEmpty0(X0) <=> $false)). % 137.26/137.51 tff(formula28, axiom, % 137.26/137.51 ![X0: $i] : (szRzazndt0(X0) = $i!val!0)). % 137.26/137.51 tff(formula29, axiom, % 137.26/137.51 ![X0: $i] : (szDzozmdt0(X0) = $i!val!0)). % 137.26/137.51 tff(formula30, axiom, % 137.26/137.51 ![X0: $i] : (isMonotone0(X0) <=> $true)). % 137.26/137.51 tff(formula31, axiom, % 137.26/137.51 ![X0: $i] : (aSet0(X0) <=> (X0 = $i!val!0))). % 137.26/137.51 tff(formula32, axiom, % 137.26/137.51 ![X0: $i] : (aCompleteLattice0(X0) <=> (X0 = $i!val!0))). % 137.26/137.51 tff(formula33, axiom, % 137.26/137.51 ![X0: $i, X1: $i] : (aElementOf0(X0, X1) <=> ((X1 = $i!val!7) & (~(X1 = $i!val!8)) & (~(X1 = $i!val!3)) & (~(X1 = $i!val!4)) & (~(X1 = $i!val!9)) & (~(X1 = $i!val!10)) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!11)) & (X0 = $i!val!0)))). % 137.26/137.51 % SZS output end Model % 137.26/137.51 % E exiting %------------------------------------------------------------------------------