TSTP Solution File: KLE175+1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : KLE175+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n027.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 17:24:28 EDT 2022
% Result : Satisfiable 0.19s 0.41s
% Output : Model 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE175+1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Sep 1 09:25:18 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.
% 0.19/0.41 % SZS status Satisfiable
% 0.19/0.41 % SZS output start Model
% 0.19/0.41 tff(tptp_fun__i_val_0_type, type, (
% 0.19/0.41 tptp_fun__i_val_0: $i)).
% 0.19/0.41 tff(one_type, type, (
% 0.19/0.41 one: $i)).
% 0.19/0.41 tff(tptp_fun__i_val_1_type, type, (
% 0.19/0.41 tptp_fun__i_val_1: $i)).
% 0.19/0.41 tff(zero_type, type, (
% 0.19/0.41 zero: $i)).
% 0.19/0.41 tff(addition_type, type, (
% 0.19/0.41 addition: ( $i * $i ) > $i)).
% 0.19/0.41 tff(multiplication_type, type, (
% 0.19/0.41 multiplication: ( $i * $i ) > $i)).
% 0.19/0.41 tff(domain_type, type, (
% 0.19/0.41 domain: $i > $i)).
% 0.19/0.41 tff(leq_type, type, (
% 0.19/0.41 leq: ( $i * $i ) > $o)).
% 0.19/0.41 tff(formula1, axiom,
% 0.19/0.41 one = $i!val!0).
% 0.19/0.41 tff(formula2, axiom,
% 0.19/0.41 zero = $i!val!1).
% 0.19/0.41 tff(formula3, axiom,
% 0.19/0.41 addition($i!val!1, $i!val!1) = $i!val!1).
% 0.19/0.41 tff(formula4, axiom,
% 0.19/0.41 addition($i!val!1, $i!val!0) = $i!val!0).
% 0.19/0.41 tff(formula5, axiom,
% 0.19/0.41 addition($i!val!0, $i!val!1) = $i!val!0).
% 0.19/0.41 tff(formula6, axiom,
% 0.19/0.41 ![X0: $i, X1: $i] : ((~((($i!val!1 = X0) & ($i!val!1 = X1)) | (($i!val!1 = X0) & ($i!val!0 = X1)) | (($i!val!0 = X0) & ($i!val!1 = X1)))) => (addition(X0, X1) = ite_t((X0 = multiplication(domain(X1), X1)), multiplication(domain(X1), X1), X1)))).
% 0.19/0.41 tff(formula7, axiom,
% 0.19/0.41 multiplication($i!val!1, $i!val!1) = $i!val!1).
% 0.19/0.41 tff(formula8, axiom,
% 0.19/0.41 ![X0: $i, X1: $i] : ((~(($i!val!1 = X0) & ($i!val!1 = X1))) => (multiplication(X0, X1) = ite_t((X1 = $i!val!1), $i!val!1, ite_t((X0 = $i!val!1), $i!val!1, ite_t((X1 = $i!val!0), X0, X1)))))).
% 0.19/0.41 tff(formula9, axiom,
% 0.19/0.41 leq($i!val!1, $i!val!1) <=> $true).
% 0.19/0.41 tff(formula10, axiom,
% 0.19/0.41 leq($i!val!1, $i!val!0) <=> $true).
% 0.19/0.41 tff(formula11, axiom,
% 0.19/0.41 leq($i!val!0, $i!val!1) <=> $false).
% 0.19/0.41 tff(formula12, axiom,
% 0.19/0.41 ![X0: $i, X1: $i] : ((~((($i!val!1 = X0) & ($i!val!1 = X1)) | (($i!val!1 = X0) & ($i!val!0 = X1)) | (($i!val!0 = X0) & ($i!val!1 = X1)))) => (leq(X0, X1) <=> (addition(X1, X0) = X0)))).
% 0.19/0.41 tff(formula13, axiom,
% 0.19/0.41 ![X0: $i] : (domain(X0) = ite_t((ite_t((X0 = $i!val!0), $i!val!0, $i!val!1) = $i!val!1), $i!val!1, $i!val!0))).
% 0.19/0.41 % SZS output end Model
%------------------------------------------------------------------------------