%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : LAT385+1 : TPTP v9.0.0. Released v4.0.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n010.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 05:14:36 AM UTC 2025 % Result : CounterSatisfiable 165.04s 165.28s % Output : Model 165.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : LAT385+1 : TPTP v9.0.0. Released v4.0.0. % 0.11/0.12 % Command : run_E %s %d THM % 0.11/0.32 % Computer : n010.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 20:52:56 EDT 2025 % 0.11/0.33 % CPUTime : % 165.04/165.28 % SZS status CounterSatisfiable % 165.04/165.28 % SZS output start Model % 165.04/165.28 tff(tptp_fun__i_val_1_type, type, ( % 165.04/165.28 tptp_fun__i_val_1: $i)). % 165.04/165.28 tff(xf_type, type, ( % 165.04/165.28 xf: $i)). % 165.04/165.28 tff(tptp_fun__i_val_4_type, type, ( % 165.04/165.28 tptp_fun__i_val_4: $i)). % 165.04/165.28 tff(xP_type, type, ( % 165.04/165.28 xP: $i)). % 165.04/165.28 tff(tptp_fun__i_val_0_type, type, ( % 165.04/165.28 tptp_fun__i_val_0: $i)). % 165.04/165.28 tff(xU_type, type, ( % 165.04/165.28 xU: $i)). % 165.04/165.28 tff(tptp_fun__i_val_2_type, type, ( % 165.04/165.28 tptp_fun__i_val_2: $i)). % 165.04/165.28 tff(xS_type, type, ( % 165.04/165.28 xS: $i)). % 165.04/165.28 tff(tptp_fun__i_val_3_type, type, ( % 165.04/165.28 tptp_fun__i_val_3: $i)). % 165.04/165.28 tff(xT_type, type, ( % 165.04/165.28 xT: $i)). % 165.04/165.28 tff(aFunction0_type, type, ( % 165.04/165.28 aFunction0: $i > $o)). % 165.04/165.28 tff(tptp_fun__i_val_6_type, type, ( % 165.04/165.28 tptp_fun__i_val_6: $i)). % 165.04/165.28 tff(tptp_fun__i_val_5_type, type, ( % 165.04/165.28 tptp_fun__i_val_5: $i)). % 165.04/165.28 tff(aSupremumOfIn0_type, type, ( % 165.04/165.28 aSupremumOfIn0: ( $i * $i * $i ) > $o)). % 165.04/165.28 tff(aElement0_type, type, ( % 165.04/165.28 aElement0: $i > $o)). % 165.04/165.28 tff(aSubsetOf0_type, type, ( % 165.04/165.28 aSubsetOf0: ( $i * $i ) > $o)). % 165.04/165.28 tff(aFixedPointOf0_type, type, ( % 165.04/165.28 aFixedPointOf0: ( $i * $i ) > $o)). % 165.04/165.28 tff(aElementOf0_type, type, ( % 165.04/165.28 aElementOf0: ( $i * $i ) > $o)). % 165.04/165.28 tff(szDzozmdt0_type, type, ( % 165.04/165.28 szDzozmdt0: $i > $i)). % 165.04/165.28 tff(sdtlpdtrp0_type, type, ( % 165.04/165.28 sdtlpdtrp0: ( $i * $i ) > $i)). % 165.04/165.28 tff(cS1241_type, type, ( % 165.04/165.28 cS1241: ( $i * $i * $i ) > $i)). % 165.04/165.28 tff(sdtlseqdt0_type, type, ( % 165.04/165.28 sdtlseqdt0: ( $i * $i ) > $o)). % 165.04/165.28 tff(aInfimumOfIn0_type, type, ( % 165.04/165.28 aInfimumOfIn0: ( $i * $i * $i ) > $o)). % 165.04/165.28 tff(aUpperBoundOfIn0_type, type, ( % 165.04/165.28 aUpperBoundOfIn0: ( $i * $i * $i ) > $o)). % 165.04/165.28 tff(isOn0_type, type, ( % 165.04/165.28 isOn0: ( $i * $i ) > $o)). % 165.04/165.28 tff(aLowerBoundOfIn0_type, type, ( % 165.04/165.28 aLowerBoundOfIn0: ( $i * $i * $i ) > $o)). % 165.04/165.28 tff(cS1142_type, type, ( % 165.04/165.28 cS1142: $i > $i)). % 165.04/165.28 tff(isEmpty0_type, type, ( % 165.04/165.28 isEmpty0: $i > $o)). % 165.04/165.28 tff(szRzazndt0_type, type, ( % 165.04/165.28 szRzazndt0: $i > $i)). % 165.04/165.28 tff(isMonotone0_type, type, ( % 165.04/165.28 isMonotone0: $i > $o)). % 165.04/165.28 tff(aSet0_type, type, ( % 165.04/165.28 aSet0: $i > $o)). % 165.04/165.28 tff(aCompleteLattice0_type, type, ( % 165.04/165.28 aCompleteLattice0: $i > $o)). % 165.04/165.28 tff(formula1, axiom, % 165.04/165.28 xf = $i!val!1). % 165.04/165.28 tff(formula2, axiom, % 165.04/165.28 xP = $i!val!4). % 165.04/165.28 tff(formula3, axiom, % 165.04/165.28 xU = $i!val!0). % 165.04/165.28 tff(formula4, axiom, % 165.04/165.28 xS = $i!val!2). % 165.04/165.28 tff(formula5, axiom, % 165.04/165.28 xT = $i!val!3). % 165.04/165.28 tff(formula6, axiom, % 165.04/165.28 ![X0: $i] : (aFunction0(X0) <=> $true)). % 165.04/165.28 tff(formula7, axiom, % 165.04/165.28 ![X0: $i, X1: $i, X2: $i] : (aSupremumOfIn0(X0, X1, X2) <=> ((X2 = $i!val!5) & (~(X2 = $i!val!6)) & (~(X2 = $i!val!4)) & (X1 = $i!val!0) & (X0 = $i!val!0)))). % 165.04/165.28 tff(formula8, axiom, % 165.04/165.28 ![X0: $i] : (aElement0(X0) <=> ((X0 = $i!val!5) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!4))))). % 165.04/165.28 tff(formula9, axiom, % 165.04/165.28 ![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 = $i!val!0)))))). % 165.04/165.28 tff(formula10, axiom, % 165.04/165.28 aFixedPointOf0($i!val!5, $i!val!1) <=> $true). % 165.04/165.28 tff(formula11, axiom, % 165.04/165.28 aFixedPointOf0($i!val!6, $i!val!1) <=> $false). % 165.04/165.28 tff(formula12, axiom, % 165.04/165.28 aFixedPointOf0($i!val!4, $i!val!1) <=> $false). % 165.04/165.28 tff(formula13, axiom, % 165.04/165.28 aFixedPointOf0($i!val!1, $i!val!1) <=> $false). % 165.04/165.28 tff(formula14, axiom, % 165.04/165.28 ![X0: $i, X1: $i] : ((~((($i!val!5 = X0) & ($i!val!1 = X1)) | (($i!val!6 = X0) & ($i!val!1 = X1)) | (($i!val!4 = X0) & ($i!val!1 = X1)) | (($i!val!1 = X0) & ($i!val!1 = X1)))) => (aFixedPointOf0(X0, X1) <=> (~((~(sdtlpdtrp0($i!val!1, X1) = X1)) | (~aElementOf0(X1, szDzozmdt0($i!val!1)))))))). % 165.04/165.28 tff(formula15, axiom, % 165.04/165.28 ![X0: $i, X1: $i, X2: $i] : (cS1241(X0, X1, X2) = $i!val!4)). % 165.04/165.28 tff(formula16, axiom, % 165.04/165.28 ![X0: $i, X1: $i] : (sdtlseqdt0(X0, X1) <=> ((X1 = $i!val!5) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (X0 = $i!val!5) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!4))))). % 165.04/165.28 tff(formula17, axiom, % 165.04/165.28 ![X0: $i, X1: $i] : (sdtlpdtrp0(X0, X1) = $i!val!5)). % 165.04/165.28 tff(formula18, axiom, % 165.04/165.28 ![X0: $i, X1: $i, X2: $i] : (aInfimumOfIn0(X0, X1, X2) <=> ((X2 = $i!val!5) & (~(X2 = $i!val!6)) & (~(X2 = $i!val!4)) & (X1 = $i!val!0) & (X0 = $i!val!0)))). % 165.04/165.28 tff(formula19, axiom, % 165.04/165.28 ![X0: $i, X1: $i, X2: $i] : (aUpperBoundOfIn0(X0, X1, X2) <=> ((X2 = $i!val!5) & (~(X2 = $i!val!6)) & (~(X2 = $i!val!4)) & (X1 = $i!val!0) & (X0 = $i!val!0)))). % 165.04/165.28 tff(formula20, axiom, % 165.14/165.28 ![X0: $i, X1: $i] : (isOn0(X0, X1) <=> $true)). % 165.14/165.28 tff(formula21, axiom, % 165.14/165.28 ![X0: $i, X1: $i, X2: $i] : (aLowerBoundOfIn0(X0, X1, X2) <=> ((X2 = $i!val!5) & (~(X2 = $i!val!6)) & (~(X2 = $i!val!4)) & (X1 = $i!val!0) & (X0 = $i!val!0)))). % 165.14/165.28 tff(formula22, axiom, % 165.14/165.28 ![X0: $i] : (cS1142(X0) = $i!val!2)). % 165.14/165.28 tff(formula23, axiom, % 165.14/165.28 ![X0: $i] : (isEmpty0(X0) <=> $false)). % 165.14/165.28 tff(formula24, axiom, % 165.14/165.28 ![X0: $i] : (szRzazndt0(X0) = $i!val!0)). % 165.14/165.28 tff(formula25, axiom, % 165.14/165.28 ![X0: $i] : (isMonotone0(X0) <=> $true)). % 165.14/165.28 tff(formula26, axiom, % 165.14/165.28 ![X0: $i] : (szDzozmdt0(X0) = $i!val!0)). % 165.14/165.28 tff(formula27, axiom, % 165.14/165.28 ![X0: $i] : (aSet0(X0) <=> (X0 = $i!val!0))). % 165.14/165.28 tff(formula28, axiom, % 165.14/165.28 ![X0: $i] : (aCompleteLattice0(X0) <=> (X0 = $i!val!0))). % 165.14/165.28 tff(formula29, axiom, % 165.14/165.28 ![X0: $i, X1: $i] : (aElementOf0(X0, X1) <=> ((X1 = $i!val!5) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!4)) & (X0 = $i!val!0)))). % 165.14/165.28 % SZS output end Model % 165.14/165.29 % E exiting %------------------------------------------------------------------------------