TSTP Solution File: LAT383+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : LAT383+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n026.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 Sep 17 18:33:39 EDT 2022
% Result : CounterSatisfiable 17.79s 11.21s
% Output : Model 17.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT383+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Sep 1 16:59:52 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 17.79/11.21 % SZS status CounterSatisfiable
% 17.79/11.21 % SZS output start Model
% 17.79/11.21 tff(tptp_fun__i_val_0_type, type, (
% 17.79/11.21 tptp_fun__i_val_0: $i)).
% 17.79/11.21 tff(xU_type, type, (
% 17.79/11.21 xU: $i)).
% 17.79/11.21 tff(tptp_fun__i_val_1_type, type, (
% 17.79/11.21 tptp_fun__i_val_1: $i)).
% 17.79/11.21 tff(xf_type, type, (
% 17.79/11.21 xf: $i)).
% 17.79/11.21 tff(tptp_fun__i_val_2_type, type, (
% 17.79/11.21 tptp_fun__i_val_2: $i)).
% 17.79/11.21 tff(xS_type, type, (
% 17.79/11.21 xS: $i)).
% 17.79/11.21 tff(tptp_fun__i_val_3_type, type, (
% 17.79/11.21 tptp_fun__i_val_3: $i)).
% 17.79/11.21 tff(tptp_fun__i_val_4_type, type, (
% 17.79/11.21 tptp_fun__i_val_4: $i)).
% 17.79/11.21 tff(sdtlpdtrp0_type, type, (
% 17.79/11.21 sdtlpdtrp0: ( $i * $i ) > $i)).
% 17.79/11.21 tff(isEmpty0_type, type, (
% 17.79/11.21 isEmpty0: $i > $o)).
% 17.79/11.21 tff(aElementOf0_type, type, (
% 17.79/11.21 aElementOf0: ( $i * $i ) > $o)).
% 17.79/11.21 tff(aInfimumOfIn0_type, type, (
% 17.79/11.21 aInfimumOfIn0: ( $i * $i * $i ) > $o)).
% 17.79/11.21 tff(aElement0_type, type, (
% 17.79/11.21 aElement0: $i > $o)).
% 17.79/11.21 tff(aLowerBoundOfIn0_type, type, (
% 17.79/11.21 aLowerBoundOfIn0: ( $i * $i * $i ) > $o)).
% 17.79/11.21 tff(aCompleteLattice0_type, type, (
% 17.79/11.21 aCompleteLattice0: $i > $o)).
% 17.79/11.21 tff(szRzazndt0_type, type, (
% 17.79/11.21 szRzazndt0: $i > $i)).
% 17.79/11.21 tff(isMonotone0_type, type, (
% 17.79/11.21 isMonotone0: $i > $o)).
% 17.79/11.21 tff(aSubsetOf0_type, type, (
% 17.79/11.21 aSubsetOf0: ( $i * $i ) > $o)).
% 17.79/11.21 tff(aUpperBoundOfIn0_type, type, (
% 17.79/11.21 aUpperBoundOfIn0: ( $i * $i * $i ) > $o)).
% 17.79/11.21 tff(sdtlseqdt0_type, type, (
% 17.79/11.21 sdtlseqdt0: ( $i * $i ) > $o)).
% 17.79/11.21 tff(szDzozmdt0_type, type, (
% 17.79/11.21 szDzozmdt0: $i > $i)).
% 17.79/11.21 tff(isOn0_type, type, (
% 17.79/11.21 isOn0: ( $i * $i ) > $o)).
% 17.79/11.21 tff(aSupremumOfIn0_type, type, (
% 17.79/11.21 aSupremumOfIn0: ( $i * $i * $i ) > $o)).
% 17.79/11.21 tff(aFixedPointOf0_type, type, (
% 17.79/11.21 aFixedPointOf0: ( $i * $i ) > $o)).
% 17.79/11.21 tff(aFunction0_type, type, (
% 17.79/11.21 aFunction0: $i > $o)).
% 17.79/11.21 tff(aSet0_type, type, (
% 17.79/11.21 aSet0: $i > $o)).
% 17.79/11.21 tff(cS1142_type, type, (
% 17.79/11.21 cS1142: $i > $i)).
% 17.79/11.21 tff(formula1, axiom,
% 17.79/11.21 xU = $i!val!0).
% 17.79/11.21 tff(formula2, axiom,
% 17.79/11.21 xf = $i!val!1).
% 17.79/11.21 tff(formula3, axiom,
% 17.79/11.21 xS = $i!val!2).
% 17.79/11.21 tff(formula4, axiom,
% 17.79/11.21 ![X0: $i, X1: $i] : (sdtlpdtrp0(X0, X1) = ite_t(((ite_t((X1 = $i!val!1), $i!val!1, $i!val!4) = $i!val!1) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!3), $i!val!3, $i!val!0)) = $i!val!3)), $i!val!3, $i!val!0))).
% 17.79/11.21 tff(formula5, axiom,
% 17.79/11.21 ![X0: $i] : (isEmpty0(X0) <=> $false)).
% 17.79/11.21 tff(formula6, axiom,
% 17.79/11.21 ![X0: $i, X1: $i] : (aElementOf0(X0, X1) <=> ((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!3), $i!val!3, $i!val!0)) = $i!val!3) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!0)))).
% 17.79/11.21 tff(formula7, axiom,
% 17.79/11.21 ![X0: $i, X1: $i, X2: $i] : (aInfimumOfIn0(X0, X1, X2) <=> ((ite_t((X2 = $i!val!4), $i!val!4, ite_t((X2 = $i!val!3), $i!val!3, $i!val!0)) = $i!val!3) & (ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!0) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!0)))).
% 17.79/11.21 tff(formula8, axiom,
% 17.79/11.21 ![X0: $i] : (aElement0(X0) <=> (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!3), $i!val!3, $i!val!0)) = $i!val!3))).
% 17.79/11.21 tff(formula9, axiom,
% 17.79/11.21 ![X0: $i, X1: $i, X2: $i] : (aLowerBoundOfIn0(X0, X1, X2) <=> ((ite_t((X2 = $i!val!4), $i!val!4, ite_t((X2 = $i!val!3), $i!val!3, $i!val!0)) = $i!val!3) & (ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!0) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!0)))).
% 17.79/11.21 tff(formula10, axiom,
% 17.79/11.21 ![X0: $i] : (aCompleteLattice0(X0) <=> (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!0))).
% 17.79/11.21 tff(formula11, axiom,
% 17.79/11.21 ![X0: $i] : (szRzazndt0(X0) = $i!val!0)).
% 17.79/11.21 tff(formula12, axiom,
% 17.79/11.21 ![X0: $i] : (isMonotone0(X0) <=> (ite_t((X0 = $i!val!1), $i!val!1, $i!val!4) = $i!val!1))).
% 17.79/11.21 tff(formula13, axiom,
% 17.79/11.21 ![X0: $i, X1: $i] : (aSubsetOf0(X0, X1) <=> ((ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!0) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!0)))).
% 17.82/11.22 tff(formula14, axiom,
% 17.82/11.22 ![X0: $i, X1: $i, X2: $i] : (aUpperBoundOfIn0(X0, X1, X2) <=> ((ite_t((X2 = $i!val!4), $i!val!4, ite_t((X2 = $i!val!3), $i!val!3, $i!val!0)) = $i!val!3) & (ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!0) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!0)))).
% 17.82/11.22 tff(formula15, axiom,
% 17.82/11.22 ![X0: $i, X1: $i] : (sdtlseqdt0(X0, X1) <=> ((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!3), $i!val!3, $i!val!0)) = $i!val!3) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!3), $i!val!3, $i!val!0)) = $i!val!3)))).
% 17.82/11.22 tff(formula16, axiom,
% 17.82/11.22 ![X0: $i] : (szDzozmdt0(X0) = $i!val!0)).
% 17.82/11.22 tff(formula17, axiom,
% 17.82/11.22 ![X0: $i, X1: $i] : (isOn0(X0, X1) <=> ((ite_t((X1 = $i!val!1), $i!val!1, $i!val!4) = $i!val!1) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!0)))).
% 17.82/11.22 tff(formula18, axiom,
% 17.82/11.22 ![X0: $i, X1: $i, X2: $i] : (aSupremumOfIn0(X0, X1, X2) <=> ((ite_t((X2 = $i!val!4), $i!val!4, ite_t((X2 = $i!val!3), $i!val!3, $i!val!0)) = $i!val!3) & (ite_t((X1 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!0) & (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!0)))).
% 17.82/11.22 tff(formula19, axiom,
% 17.82/11.22 aFixedPointOf0($i!val!3, $i!val!1) <=> $true).
% 17.82/11.22 tff(formula20, axiom,
% 17.82/11.22 aFixedPointOf0($i!val!0, $i!val!1) <=> $false).
% 17.82/11.22 tff(formula21, axiom,
% 17.82/11.22 aFixedPointOf0($i!val!4, $i!val!1) <=> $false).
% 17.82/11.22 tff(formula22, axiom,
% 17.82/11.22 ![X0: $i, X1: $i] : ((~((($i!val!3 = X0) & ($i!val!1 = X1)) | (($i!val!0 = X0) & ($i!val!1 = X1)) | (($i!val!4 = X0) & ($i!val!1 = X1)))) => (aFixedPointOf0(X0, X1) <=> (~((~aElementOf0(X1, szDzozmdt0($i!val!1))) | (~(sdtlpdtrp0($i!val!1, X1) = X1))))))).
% 17.82/11.22 tff(formula23, axiom,
% 17.82/11.22 ![X0: $i] : (aFunction0(X0) <=> (ite_t((X0 = $i!val!1), $i!val!1, $i!val!4) = $i!val!1))).
% 17.82/11.22 tff(formula24, axiom,
% 17.82/11.22 ![X0: $i] : (aSet0(X0) <=> (ite_t((X0 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!0), $i!val!0, $i!val!3))) = $i!val!0))).
% 17.82/11.22 tff(formula25, axiom,
% 17.82/11.22 ![X0: $i] : (cS1142(X0) = $i!val!2)).
% 17.82/11.22 % SZS output end Model
%------------------------------------------------------------------------------