%------------------------------------------------------------------------------ % File : Z3---4.15.1 % Problem : LAT384+1 : TPTP v9.0.0. Released v4.0.0. % Transfm : none % Format : tptp % Command : run_E %s %d THM % Computer : n006.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 147.60s 147.82s % Output : Model 147.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : LAT384+1 : TPTP v9.0.0. Released v4.0.0. % 0.07/0.12 % Command : run_E %s %d THM % 0.12/0.34 % Computer : n006.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Thu Jun 19 20:49:50 EDT 2025 % 0.12/0.34 % CPUTime : % 147.60/147.82 % SZS status CounterSatisfiable % 147.60/147.82 % SZS output start Model % 147.60/147.82 tff(tptp_fun__i_val_1_type, type, ( % 147.60/147.82 tptp_fun__i_val_1: $i)). % 147.60/147.82 tff(xf_type, type, ( % 147.60/147.82 xf: $i)). % 147.60/147.82 tff(tptp_fun__i_val_0_type, type, ( % 147.60/147.82 tptp_fun__i_val_0: $i)). % 147.60/147.82 tff(xU_type, type, ( % 147.60/147.82 xU: $i)). % 147.60/147.82 tff(tptp_fun__i_val_2_type, type, ( % 147.60/147.82 tptp_fun__i_val_2: $i)). % 147.60/147.82 tff(xS_type, type, ( % 147.60/147.82 xS: $i)). % 147.60/147.82 tff(tptp_fun__i_val_3_type, type, ( % 147.60/147.82 tptp_fun__i_val_3: $i)). % 147.60/147.82 tff(xT_type, type, ( % 147.60/147.82 xT: $i)). % 147.60/147.82 tff(aFunction0_type, type, ( % 147.60/147.82 aFunction0: $i > $o)). % 147.60/147.82 tff(tptp_fun__i_val_6_type, type, ( % 147.60/147.82 tptp_fun__i_val_6: $i)). % 147.60/147.82 tff(tptp_fun__i_val_5_type, type, ( % 147.60/147.82 tptp_fun__i_val_5: $i)). % 147.60/147.82 tff(tptp_fun__i_val_4_type, type, ( % 147.60/147.82 tptp_fun__i_val_4: $i)). % 147.60/147.82 tff(aSupremumOfIn0_type, type, ( % 147.60/147.82 aSupremumOfIn0: ( $i * $i * $i ) > $o)). % 147.60/147.82 tff(aElement0_type, type, ( % 147.60/147.82 aElement0: $i > $o)). % 147.60/147.82 tff(aSubsetOf0_type, type, ( % 147.60/147.82 aSubsetOf0: ( $i * $i ) > $o)). % 147.60/147.82 tff(aFixedPointOf0_type, type, ( % 147.60/147.82 aFixedPointOf0: ( $i * $i ) > $o)). % 147.60/147.82 tff(sdtlpdtrp0_type, type, ( % 147.60/147.82 sdtlpdtrp0: ( $i * $i ) > $i)). % 147.60/147.82 tff(aElementOf0_type, type, ( % 147.60/147.82 aElementOf0: ( $i * $i ) > $o)). % 147.60/147.82 tff(szDzozmdt0_type, type, ( % 147.60/147.82 szDzozmdt0: $i > $i)). % 147.60/147.82 tff(sdtlseqdt0_type, type, ( % 147.60/147.82 sdtlseqdt0: ( $i * $i ) > $o)). % 147.60/147.82 tff(tptp_fun__i_val_7_type, type, ( % 147.60/147.82 tptp_fun__i_val_7: $i)). % 147.60/147.82 tff(aInfimumOfIn0_type, type, ( % 147.60/147.82 aInfimumOfIn0: ( $i * $i * $i ) > $o)). % 147.60/147.82 tff(aUpperBoundOfIn0_type, type, ( % 147.60/147.82 aUpperBoundOfIn0: ( $i * $i * $i ) > $o)). % 147.60/147.82 tff(isOn0_type, type, ( % 147.60/147.82 isOn0: ( $i * $i ) > $o)). % 147.60/147.82 tff(aLowerBoundOfIn0_type, type, ( % 147.60/147.82 aLowerBoundOfIn0: ( $i * $i * $i ) > $o)). % 147.60/147.82 tff(cS1142_type, type, ( % 147.60/147.82 cS1142: $i > $i)). % 147.60/147.82 tff(isEmpty0_type, type, ( % 147.60/147.82 isEmpty0: $i > $o)). % 147.60/147.82 tff(szRzazndt0_type, type, ( % 147.60/147.82 szRzazndt0: $i > $i)). % 147.60/147.82 tff(isMonotone0_type, type, ( % 147.60/147.82 isMonotone0: $i > $o)). % 147.60/147.82 tff(aSet0_type, type, ( % 147.60/147.82 aSet0: $i > $o)). % 147.60/147.82 tff(aCompleteLattice0_type, type, ( % 147.60/147.82 aCompleteLattice0: $i > $o)). % 147.60/147.82 tff(formula1, axiom, % 147.60/147.82 xf = $i!val!1). % 147.60/147.82 tff(formula2, axiom, % 147.60/147.82 xU = $i!val!0). % 147.60/147.82 tff(formula3, axiom, % 147.60/147.82 xS = $i!val!2). % 147.60/147.82 tff(formula4, axiom, % 147.60/147.82 xT = $i!val!3). % 147.60/147.82 tff(formula5, axiom, % 147.60/147.82 ![X0: $i] : (aFunction0(X0) <=> $true)). % 147.60/147.82 tff(formula6, axiom, % 147.60/147.82 ![X0: $i, X1: $i, X2: $i] : (aSupremumOfIn0(X0, X1, X2) <=> ((X2 = $i!val!4) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!6)) & (~(X2 = $i!val!1)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!0) & (~(X0 = $i!val!2))))). % 147.60/147.82 tff(formula7, axiom, % 147.60/147.82 ![X0: $i] : (aElement0(X0) <=> ((X0 = $i!val!4) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!1))))). % 147.60/147.82 tff(formula8, axiom, % 147.60/147.82 ![X0: $i, X1: $i] : (aSubsetOf0(X0, X1) <=> ((~((~(X1 = $i!val!0)) & (~(X1 = $i!val!2)) & (X0 = $i!val!0) & (~(X0 = $i!val!2)))) & (~((X1 = $i!val!2) & (X0 = $i!val!0) & (~(X0 = $i!val!2))))))). % 147.60/147.82 tff(formula9, axiom, % 147.60/147.82 aFixedPointOf0($i!val!4, $i!val!1) <=> $true). % 147.60/147.82 tff(formula10, axiom, % 147.60/147.82 aFixedPointOf0($i!val!6, $i!val!1) <=> $false). % 147.60/147.82 tff(formula11, axiom, % 147.60/147.82 aFixedPointOf0($i!val!5, $i!val!1) <=> $false). % 147.60/147.82 tff(formula12, axiom, % 147.60/147.82 aFixedPointOf0($i!val!2, $i!val!1) <=> $false). % 147.60/147.82 tff(formula13, axiom, % 147.60/147.82 aFixedPointOf0($i!val!1, $i!val!1) <=> $false). % 147.60/147.82 tff(formula14, axiom, % 147.60/147.82 ![X0: $i, X1: $i] : ((~((($i!val!4 = X0) & ($i!val!1 = X1)) | (($i!val!6 = X0) & ($i!val!1 = X1)) | (($i!val!5 = X0) & ($i!val!1 = X1)) | (($i!val!2 = X0) & ($i!val!1 = X1)) | (($i!val!1 = X0) & ($i!val!1 = X1)))) => (aFixedPointOf0(X0, X1) <=> (~((~aElementOf0(X1, szDzozmdt0($i!val!1))) | (~(sdtlpdtrp0($i!val!1, X1) = X1))))))). % 147.60/147.82 tff(formula15, axiom, % 147.60/147.82 ![X0: $i, X1: $i] : (sdtlseqdt0(X0, X1) <=> ((X1 = $i!val!4) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!1)) & (X0 = $i!val!4) & (~(X0 = $i!val!5)) & (~(X0 = $i!val!6)) & (~(X0 = $i!val!1))))). % 147.60/147.82 tff(formula16, axiom, % 147.60/147.82 ![X0: $i, X1: $i] : (sdtlpdtrp0(X0, X1) = ite_t(((X0 = $i!val!6) & (~(X0 = $i!val!1))), $i!val!7, $i!val!4))). % 147.60/147.82 tff(formula17, axiom, % 147.60/147.82 ![X0: $i, X1: $i, X2: $i] : (aInfimumOfIn0(X0, X1, X2) <=> ((X2 = $i!val!4) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!6)) & (~(X2 = $i!val!1)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!0) & (~(X0 = $i!val!2))))). % 147.60/147.82 tff(formula18, axiom, % 147.60/147.82 ![X0: $i, X1: $i, X2: $i] : (aUpperBoundOfIn0(X0, X1, X2) <=> ((X2 = $i!val!4) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!6)) & (~(X2 = $i!val!1)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!0) & (~(X0 = $i!val!2))))). % 147.60/147.83 tff(formula19, axiom, % 147.60/147.83 ![X0: $i, X1: $i] : (isOn0(X0, X1) <=> $true)). % 147.60/147.83 tff(formula20, axiom, % 147.60/147.83 ![X0: $i, X1: $i, X2: $i] : (aLowerBoundOfIn0(X0, X1, X2) <=> ((X2 = $i!val!4) & (~(X2 = $i!val!5)) & (~(X2 = $i!val!6)) & (~(X2 = $i!val!1)) & (X1 = $i!val!0) & (~(X1 = $i!val!2)) & (X0 = $i!val!0) & (~(X0 = $i!val!2))))). % 147.60/147.83 tff(formula21, axiom, % 147.60/147.83 ![X0: $i] : (cS1142(X0) = $i!val!2)). % 147.60/147.83 tff(formula22, axiom, % 147.60/147.83 ![X0: $i] : (isEmpty0(X0) <=> $false)). % 147.60/147.83 tff(formula23, axiom, % 147.60/147.83 ![X0: $i] : (szRzazndt0(X0) = $i!val!0)). % 147.60/147.83 tff(formula24, axiom, % 147.60/147.83 ![X0: $i] : (isMonotone0(X0) <=> $true)). % 147.60/147.83 tff(formula25, axiom, % 147.60/147.83 ![X0: $i] : (szDzozmdt0(X0) = $i!val!0)). % 147.60/147.83 tff(formula26, axiom, % 147.60/147.83 ![X0: $i] : (aSet0(X0) <=> ((X0 = $i!val!0) & (~(X0 = $i!val!2))))). % 147.60/147.83 tff(formula27, axiom, % 147.60/147.83 ![X0: $i] : (aCompleteLattice0(X0) <=> ((X0 = $i!val!0) & (~(X0 = $i!val!2))))). % 147.60/147.83 tff(formula28, axiom, % 147.60/147.83 ![X0: $i, X1: $i] : (aElementOf0(X0, X1) <=> ((X1 = $i!val!4) & (~(X1 = $i!val!5)) & (~(X1 = $i!val!6)) & (~(X1 = $i!val!1)) & (X0 = $i!val!0) & (~(X0 = $i!val!2))))). % 147.60/147.83 % SZS output end Model % 147.60/147.84 % E exiting %------------------------------------------------------------------------------