TSTP Solution File: LAT387+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : LAT387+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n023.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 18:33:40 EDT 2022
% Result : CounterSatisfiable 111.04s 71.14s
% Output : Model 111.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT387+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n023.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 17:10:04 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.33 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.19/0.33 Usage: tptp [options] [-file:]file
% 0.19/0.33 -h, -? prints this message.
% 0.19/0.33 -smt2 print SMT-LIB2 benchmark.
% 0.19/0.33 -m, -model generate model.
% 0.19/0.33 -p, -proof generate proof.
% 0.19/0.33 -c, -core generate unsat core of named formulas.
% 0.19/0.33 -st, -statistics display statistics.
% 0.19/0.33 -t:timeout set timeout (in second).
% 0.19/0.33 -smt2status display status in smt2 format instead of SZS.
% 0.19/0.33 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.19/0.33 -<param>:<value> configuration parameter and value.
% 0.19/0.33 -o:<output-file> file to place output in.
% 111.04/71.14 % SZS status CounterSatisfiable
% 111.04/71.14 % SZS output start Model
% 111.04/71.14 tff(tptp_fun__i_val_0_type, type, (
% 111.04/71.14 tptp_fun__i_val_0: $i)).
% 111.04/71.14 tff(xU_type, type, (
% 111.04/71.14 xU: $i)).
% 111.04/71.14 tff(tptp_fun__i_val_4_type, type, (
% 111.04/71.14 tptp_fun__i_val_4: $i)).
% 111.04/71.14 tff(xp_type, type, (
% 111.04/71.14 xp: $i)).
% 111.04/71.14 tff(tptp_fun__i_val_2_type, type, (
% 111.04/71.14 tptp_fun__i_val_2: $i)).
% 111.04/71.14 tff(xT_type, type, (
% 111.04/71.14 xT: $i)).
% 111.04/71.14 tff(tptp_fun__i_val_1_type, type, (
% 111.04/71.14 tptp_fun__i_val_1: $i)).
% 111.04/71.14 tff(xf_type, type, (
% 111.04/71.14 xf: $i)).
% 111.04/71.14 tff(tptp_fun__i_val_5_type, type, (
% 111.04/71.14 tptp_fun__i_val_5: $i)).
% 111.04/71.14 tff(xP_type, type, (
% 111.04/71.14 xP: $i)).
% 111.04/71.14 tff(tptp_fun__i_val_3_type, type, (
% 111.04/71.14 tptp_fun__i_val_3: $i)).
% 111.04/71.14 tff(xS_type, type, (
% 111.04/71.14 xS: $i)).
% 111.04/71.14 tff(tptp_fun__i_val_6_type, type, (
% 111.04/71.14 tptp_fun__i_val_6: $i)).
% 111.04/71.14 tff(tptp_fun__i_val_8_type, type, (
% 111.04/71.14 tptp_fun__i_val_8: $i)).
% 111.04/71.14 tff(tptp_fun__i_val_9_type, type, (
% 111.04/71.14 tptp_fun__i_val_9: $i)).
% 111.04/71.14 tff(tptp_fun__i_val_7_type, type, (
% 111.04/71.14 tptp_fun__i_val_7: $i)).
% 111.04/71.14 tff(sdtlpdtrp0_type, type, (
% 111.04/71.14 sdtlpdtrp0: ( $i * $i ) > $i)).
% 111.04/71.14 tff(isEmpty0_type, type, (
% 111.04/71.14 isEmpty0: $i > $o)).
% 111.04/71.14 tff(aElementOf0_type, type, (
% 111.04/71.14 aElementOf0: ( $i * $i ) > $o)).
% 111.04/71.14 tff(aInfimumOfIn0_type, type, (
% 111.04/71.14 aInfimumOfIn0: ( $i * $i * $i ) > $o)).
% 111.04/71.14 tff(aElement0_type, type, (
% 111.04/71.14 aElement0: $i > $o)).
% 111.04/71.14 tff(aLowerBoundOfIn0_type, type, (
% 111.04/71.14 aLowerBoundOfIn0: ( $i * $i * $i ) > $o)).
% 111.04/71.14 tff(aCompleteLattice0_type, type, (
% 111.04/71.14 aCompleteLattice0: $i > $o)).
% 111.04/71.14 tff(szRzazndt0_type, type, (
% 111.04/71.14 szRzazndt0: $i > $i)).
% 111.04/71.14 tff(isMonotone0_type, type, (
% 111.04/71.14 isMonotone0: $i > $o)).
% 111.04/71.14 tff(aSubsetOf0_type, type, (
% 111.04/71.14 aSubsetOf0: ( $i * $i ) > $o)).
% 111.04/71.14 tff(aUpperBoundOfIn0_type, type, (
% 111.04/71.14 aUpperBoundOfIn0: ( $i * $i * $i ) > $o)).
% 111.04/71.14 tff(sdtlseqdt0_type, type, (
% 111.04/71.14 sdtlseqdt0: ( $i * $i ) > $o)).
% 111.04/71.14 tff(szDzozmdt0_type, type, (
% 111.04/71.14 szDzozmdt0: $i > $i)).
% 111.04/71.14 tff(isOn0_type, type, (
% 111.04/71.14 isOn0: ( $i * $i ) > $o)).
% 111.04/71.14 tff(aFixedPointOf0_type, type, (
% 111.04/71.14 aFixedPointOf0: ( $i * $i ) > $o)).
% 111.04/71.14 tff(aSupremumOfIn0_type, type, (
% 111.04/71.14 aSupremumOfIn0: ( $i * $i * $i ) > $o)).
% 111.04/71.14 tff(aFunction0_type, type, (
% 111.04/71.14 aFunction0: $i > $o)).
% 111.04/71.14 tff(cS1241_type, type, (
% 111.04/71.14 cS1241: ( $i * $i * $i ) > $i)).
% 111.04/71.14 tff(aSet0_type, type, (
% 111.04/71.14 aSet0: $i > $o)).
% 111.04/71.14 tff(cS1142_type, type, (
% 111.04/71.14 cS1142: $i > $i)).
% 111.04/71.14 tff(formula1, axiom,
% 111.04/71.14 xU = $i!val!0).
% 111.04/71.14 tff(formula2, axiom,
% 111.04/71.14 xp = $i!val!4).
% 111.04/71.14 tff(formula3, axiom,
% 111.04/71.14 xT = $i!val!2).
% 111.04/71.14 tff(formula4, axiom,
% 111.04/71.14 xf = $i!val!1).
% 111.04/71.14 tff(formula5, axiom,
% 111.04/71.14 xP = $i!val!5).
% 111.04/71.14 tff(formula6, axiom,
% 111.04/71.14 xS = $i!val!3).
% 111.04/71.14 tff(formula7, axiom,
% 111.04/71.14 ![X0: $i, X1: $i] : (sdtlpdtrp0(X0, X1) = ite_t((ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!8), $i!val!8, $i!val!6)))) = $i!val!7), $i!val!7, ite_t((ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!8), $i!val!8, $i!val!6)))) = $i!val!4), $i!val!6, $i!val!0)))).
% 111.04/71.14 tff(formula8, axiom,
% 111.04/71.14 ![X0: $i] : (isEmpty0(X0) <=> $false)).
% 111.04/71.14 tff(formula9, axiom,
% 111.04/71.14 ![X0: $i, X1: $i] : (aElementOf0(X0, X1) <=> ((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!8), $i!val!8, $i!val!6)))) = $i!val!7) & (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!5)))) = $i!val!0)))).
% 111.04/71.14 tff(formula10, axiom,
% 111.04/71.14 ![X0: $i, X1: $i, X2: $i] : (aInfimumOfIn0(X0, X1, X2) <=> (((ite_t((X2 = $i!val!4), $i!val!4, ite_t((X2 = $i!val!7), $i!val!7, ite_t((X2 = $i!val!9), $i!val!9, ite_t((X2 = $i!val!8), $i!val!8, $i!val!6)))) = $i!val!4) & (ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, $i!val!5)))) = $i!val!5) & (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!5)))) = $i!val!0)) | ((ite_t((X2 = $i!val!4), $i!val!4, ite_t((X2 = $i!val!7), $i!val!7, ite_t((X2 = $i!val!9), $i!val!9, ite_t((X2 = $i!val!8), $i!val!8, $i!val!6)))) = $i!val!7) & (ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, $i!val!5)))) = $i!val!0) & (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!5)))) = $i!val!0))))).
% 111.04/71.14 tff(formula11, axiom,
% 111.04/71.14 ![X0: $i] : (aElement0(X0) <=> (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!8), $i!val!8, $i!val!6)))) = $i!val!7))).
% 111.04/71.14 tff(formula12, axiom,
% 111.04/71.14 ![X0: $i, X1: $i, X2: $i] : (aLowerBoundOfIn0(X0, X1, X2) <=> (((ite_t((X2 = $i!val!4), $i!val!4, ite_t((X2 = $i!val!7), $i!val!7, ite_t((X2 = $i!val!9), $i!val!9, ite_t((X2 = $i!val!8), $i!val!8, $i!val!6)))) = $i!val!6) & (ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, $i!val!5)))) = $i!val!5) & (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!5)))) = $i!val!0)) | ((ite_t((X2 = $i!val!4), $i!val!4, ite_t((X2 = $i!val!7), $i!val!7, ite_t((X2 = $i!val!9), $i!val!9, ite_t((X2 = $i!val!8), $i!val!8, $i!val!6)))) = $i!val!7) & (ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, $i!val!5)))) = $i!val!0) & (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!5)))) = $i!val!0))))).
% 111.04/71.14 tff(formula13, axiom,
% 111.04/71.14 ![X0: $i] : (aCompleteLattice0(X0) <=> (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!5)))) = $i!val!0))).
% 111.04/71.14 tff(formula14, axiom,
% 111.04/71.14 ![X0: $i] : (szRzazndt0(X0) = $i!val!0)).
% 111.04/71.14 tff(formula15, axiom,
% 111.04/71.14 ![X0: $i] : (isMonotone0(X0) <=> $true)).
% 111.04/71.14 tff(formula16, axiom,
% 111.04/71.14 ![X0: $i, X1: $i] : (aSubsetOf0(X0, X1) <=> (((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, $i!val!5)))) = $i!val!0) & (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!5)))) = $i!val!0)) | ((ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, $i!val!5)))) = $i!val!2) & (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!5)))) = $i!val!3))))).
% 111.04/71.14 tff(formula17, axiom,
% 111.04/71.14 ![X0: $i, X1: $i, X2: $i] : (aUpperBoundOfIn0(X0, X1, X2) <=> (((ite_t((X2 = $i!val!4), $i!val!4, ite_t((X2 = $i!val!7), $i!val!7, ite_t((X2 = $i!val!9), $i!val!9, ite_t((X2 = $i!val!8), $i!val!8, $i!val!6)))) = $i!val!6) & (ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, $i!val!5)))) = $i!val!2) & (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!5)))) = $i!val!0)) | ((ite_t((X2 = $i!val!4), $i!val!4, ite_t((X2 = $i!val!7), $i!val!7, ite_t((X2 = $i!val!9), $i!val!9, ite_t((X2 = $i!val!8), $i!val!8, $i!val!6)))) = $i!val!7) & (ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, $i!val!5)))) = $i!val!0) & (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!5)))) = $i!val!0))))).
% 111.04/71.14 tff(formula18, axiom,
% 111.04/71.14 ![X0: $i, X1: $i] : (sdtlseqdt0(X0, X1) <=> ((ite_t((X1 = $i!val!4), $i!val!4, ite_t((X1 = $i!val!7), $i!val!7, ite_t((X1 = $i!val!9), $i!val!9, ite_t((X1 = $i!val!8), $i!val!8, $i!val!6)))) = $i!val!7) & (ite_t((X0 = $i!val!4), $i!val!4, ite_t((X0 = $i!val!7), $i!val!7, ite_t((X0 = $i!val!9), $i!val!9, ite_t((X0 = $i!val!8), $i!val!8, $i!val!6)))) = $i!val!7)))).
% 111.04/71.14 tff(formula19, axiom,
% 111.04/71.14 ![X0: $i] : (szDzozmdt0(X0) = $i!val!0)).
% 111.04/71.15 tff(formula20, axiom,
% 111.04/71.15 ![X0: $i, X1: $i] : (isOn0(X0, X1) <=> (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!5)))) = $i!val!0))).
% 111.04/71.15 tff(formula21, axiom,
% 111.04/71.15 aFixedPointOf0($i!val!4, $i!val!1) <=> $false).
% 111.04/71.15 tff(formula22, axiom,
% 111.04/71.15 aFixedPointOf0($i!val!7, $i!val!1) <=> $true).
% 111.04/71.15 tff(formula23, axiom,
% 111.04/71.15 aFixedPointOf0($i!val!8, $i!val!1) <=> $false).
% 111.04/71.15 tff(formula24, axiom,
% 111.04/71.15 aFixedPointOf0($i!val!9, $i!val!1) <=> $false).
% 111.04/71.15 tff(formula25, axiom,
% 111.04/71.15 ![X0: $i, X1: $i] : ((~((($i!val!4 = X0) & ($i!val!1 = X1)) | (($i!val!7 = X0) & ($i!val!1 = X1)) | (($i!val!8 = X0) & ($i!val!1 = X1)) | (($i!val!9 = X0) & ($i!val!1 = X1)))) => (aFixedPointOf0(X0, X1) <=> (~((~(sdtlpdtrp0($i!val!1, X1) = X1)) | (~aElementOf0(X1, szDzozmdt0($i!val!1)))))))).
% 111.04/71.15 tff(formula26, axiom,
% 111.04/71.15 ![X0: $i, X1: $i, X2: $i] : (aSupremumOfIn0(X0, X1, X2) <=> ((ite_t((X2 = $i!val!4), $i!val!4, ite_t((X2 = $i!val!7), $i!val!7, ite_t((X2 = $i!val!9), $i!val!9, ite_t((X2 = $i!val!8), $i!val!8, $i!val!6)))) = $i!val!7) & (ite_t((X1 = $i!val!8), $i!val!8, ite_t((X1 = $i!val!2), $i!val!2, ite_t((X1 = $i!val!3), $i!val!3, ite_t((X1 = $i!val!0), $i!val!0, $i!val!5)))) = $i!val!0) & (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!5)))) = $i!val!0)))).
% 111.04/71.15 tff(formula27, axiom,
% 111.04/71.15 ![X0: $i] : (aFunction0(X0) <=> $true)).
% 111.04/71.15 tff(formula28, axiom,
% 111.04/71.15 ![X0: $i, X1: $i, X2: $i] : (cS1241(X0, X1, X2) = $i!val!5)).
% 111.04/71.15 tff(formula29, axiom,
% 111.04/71.15 ![X0: $i] : (aSet0(X0) <=> (ite_t((X0 = $i!val!8), $i!val!8, ite_t((X0 = $i!val!2), $i!val!2, ite_t((X0 = $i!val!3), $i!val!3, ite_t((X0 = $i!val!0), $i!val!0, $i!val!5)))) = $i!val!0))).
% 111.04/71.15 tff(formula30, axiom,
% 111.04/71.15 ![X0: $i] : (cS1142(X0) = $i!val!3)).
% 111.04/71.15 % SZS output end Model
%------------------------------------------------------------------------------