TSTP Solution File: KLE174+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : KLE174+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n028.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 0.38s
% Output : Model 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KLE174+1 : TPTP v8.1.0. Released v6.4.0.
% 0.11/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.11/0.32 % Computer : n028.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
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Sep 1 09:19:06 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.11/0.33 Usage: tptp [options] [-file:]file
% 0.11/0.33 -h, -? prints this message.
% 0.11/0.33 -smt2 print SMT-LIB2 benchmark.
% 0.11/0.33 -m, -model generate model.
% 0.11/0.33 -p, -proof generate proof.
% 0.11/0.33 -c, -core generate unsat core of named formulas.
% 0.11/0.33 -st, -statistics display statistics.
% 0.11/0.33 -t:timeout set timeout (in second).
% 0.11/0.33 -smt2status display status in smt2 format instead of SZS.
% 0.11/0.33 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.11/0.33 -<param>:<value> configuration parameter and value.
% 0.11/0.33 -o:<output-file> file to place output in.
% 0.19/0.38 % SZS status Satisfiable
% 0.19/0.38 % SZS output start Model
% 0.19/0.38 tff(tptp_fun__i_val_0_type, type, (
% 0.19/0.38 tptp_fun__i_val_0: $i)).
% 0.19/0.38 tff(one_type, type, (
% 0.19/0.38 one: $i)).
% 0.19/0.38 tff(zero_type, type, (
% 0.19/0.38 zero: $i)).
% 0.19/0.38 tff(coantidomain_type, type, (
% 0.19/0.38 coantidomain: $i > $i)).
% 0.19/0.38 tff(codomain_type, type, (
% 0.19/0.38 codomain: $i > $i)).
% 0.19/0.38 tff(c_type, type, (
% 0.19/0.38 c: $i > $i)).
% 0.19/0.38 tff(backward_diamond_type, type, (
% 0.19/0.38 backward_diamond: ( $i * $i ) > $i)).
% 0.19/0.38 tff(backward_box_type, type, (
% 0.19/0.38 backward_box: ( $i * $i ) > $i)).
% 0.19/0.38 tff(forward_diamond_type, type, (
% 0.19/0.38 forward_diamond: ( $i * $i ) > $i)).
% 0.19/0.38 tff(forward_box_type, type, (
% 0.19/0.38 forward_box: ( $i * $i ) > $i)).
% 0.19/0.38 tff(multiplication_type, type, (
% 0.19/0.38 multiplication: ( $i * $i ) > $i)).
% 0.19/0.38 tff(star_type, type, (
% 0.19/0.38 star: $i > $i)).
% 0.19/0.38 tff(antidomain_type, type, (
% 0.19/0.38 antidomain: $i > $i)).
% 0.19/0.38 tff(domain_type, type, (
% 0.19/0.38 domain: $i > $i)).
% 0.19/0.38 tff(domain_difference_type, type, (
% 0.19/0.38 domain_difference: ( $i * $i ) > $i)).
% 0.19/0.38 tff(divergence_type, type, (
% 0.19/0.38 divergence: $i > $i)).
% 0.19/0.38 tff(addition_type, type, (
% 0.19/0.38 addition: ( $i * $i ) > $i)).
% 0.19/0.38 tff(leq_type, type, (
% 0.19/0.38 leq: ( $i * $i ) > $o)).
% 0.19/0.38 tff(formula1, axiom,
% 0.19/0.38 one = $i!val!0).
% 0.19/0.38 tff(formula2, axiom,
% 0.19/0.38 zero = $i!val!0).
% 0.19/0.38 tff(formula3, axiom,
% 0.19/0.38 ![X0: $i] : (codomain(X0) = coantidomain(coantidomain(X0)))).
% 0.19/0.38 tff(formula4, axiom,
% 0.19/0.38 ![X0: $i, X1: $i] : (backward_box(X0, X1) = c(backward_diamond(X1, c(X0))))).
% 0.19/0.38 tff(formula5, axiom,
% 0.19/0.38 ![X0: $i, X1: $i] : (forward_diamond(X0, X1) = $i!val!0)).
% 0.19/0.38 tff(formula6, axiom,
% 0.19/0.38 ![X0: $i, X1: $i] : (forward_box(X0, X1) = c(forward_diamond(X1, c(X0))))).
% 0.19/0.38 tff(formula7, axiom,
% 0.19/0.38 ![X0: $i, X1: $i] : (backward_diamond(X0, X1) = codomain(multiplication(codomain(X0), X1)))).
% 0.19/0.38 tff(formula8, axiom,
% 0.19/0.38 ![X0: $i] : (star(X0) = $i!val!0)).
% 0.19/0.38 tff(formula9, axiom,
% 0.19/0.38 ![X0: $i] : (antidomain(X0) = $i!val!0)).
% 0.19/0.38 tff(formula10, axiom,
% 0.19/0.38 ![X0: $i, X1: $i] : (domain_difference(X0, X1) = multiplication(domain(X1), antidomain(X0)))).
% 0.19/0.38 tff(formula11, axiom,
% 0.19/0.38 ![X0: $i] : (domain(X0) = $i!val!0)).
% 0.19/0.38 tff(formula12, axiom,
% 0.19/0.38 ![X0: $i] : (divergence(X0) = $i!val!0)).
% 0.19/0.38 tff(formula13, axiom,
% 0.19/0.38 ![X0: $i, X1: $i] : (addition(X0, X1) = X1)).
% 0.19/0.38 tff(formula14, axiom,
% 0.19/0.38 ![X0: $i, X1: $i] : (leq(X0, X1) <=> (addition(X1, X0) = X0))).
% 0.19/0.38 tff(formula15, axiom,
% 0.19/0.38 ![X0: $i, X1: $i] : (multiplication(X0, X1) = ite_t((X0 = coantidomain(X1)), $i!val!0, ite_t((X1 = antidomain(X0)), $i!val!0, ite_t((X1 = $i!val!0), $i!val!0, ite_t((X0 = $i!val!0), $i!val!0, ite_t((X1 = $i!val!0), X0, X1))))))).
% 0.19/0.38 tff(formula16, axiom,
% 0.19/0.38 ![X0: $i] : (coantidomain(X0) = $i!val!0)).
% 0.19/0.38 tff(formula17, axiom,
% 0.19/0.38 ![X0: $i] : (c(X0) = antidomain(domain(X0)))).
% 0.19/0.38 % SZS output end Model
%------------------------------------------------------------------------------