TSTP Solution File: GEO354+1 by Z3---4.8.9.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Z3---4.8.9.0
% Problem  : GEO354+1 : TPTP v8.1.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp
% Command  : z3_tptp -proof -model -t:%d -file:%s

% Computer : n019.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 : Fri Sep 16 20:36:26 EDT 2022

% Result   : Satisfiable 0.20s 0.41s
% Output   : Model 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO354+1 : TPTP v8.1.0. Released v6.4.0.
% 0.07/0.13  % Command  : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34  % Computer : n019.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 : Wed Aug 31 08:39:05 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.35  Usage: tptp [options] [-file:]file
% 0.12/0.35    -h, -?       prints this message.
% 0.12/0.35    -smt2        print SMT-LIB2 benchmark.
% 0.12/0.35    -m, -model   generate model.
% 0.12/0.35    -p, -proof   generate proof.
% 0.12/0.35    -c, -core    generate unsat core of named formulas.
% 0.12/0.35    -st, -statistics display statistics.
% 0.12/0.35    -t:timeout   set timeout (in second).
% 0.12/0.35    -smt2status  display status in smt2 format instead of SZS.
% 0.12/0.35    -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.35    -<param>:<value> configuration parameter and value.
% 0.12/0.35    -o:<output-file> file to place output in.
% 0.20/0.41  % SZS status Satisfiable
% 0.20/0.41  % SZS output start Model
% 0.20/0.41  tff(left_apart_point_type, type, (
% 0.20/0.41     left_apart_point: ( $i * $i ) > $o)).
% 0.20/0.41  tff(reverse_line_type, type, (
% 0.20/0.41     reverse_line: $i > $i)).
% 0.20/0.41  tff(divides_points_type, type, (
% 0.20/0.41     divides_points: ( $i * $i * $i ) > $o)).
% 0.20/0.41  tff(line_type, type, (
% 0.20/0.41     line: $i > $o)).
% 0.20/0.41  tff(tptp_fun__i_val_0_type, type, (
% 0.20/0.41     tptp_fun__i_val_0: $i)).
% 0.20/0.41  tff(intersection_point_type, type, (
% 0.20/0.41     intersection_point: ( $i * $i ) > $i)).
% 0.20/0.41  tff(unequally_directed_lines_type, type, (
% 0.20/0.41     unequally_directed_lines: ( $i * $i ) > $o)).
% 0.20/0.41  tff(convergent_lines_type, type, (
% 0.20/0.41     convergent_lines: ( $i * $i ) > $o)).
% 0.20/0.41  tff(before_on_line_type, type, (
% 0.20/0.41     before_on_line: ( $i * $i * $i ) > $o)).
% 0.20/0.41  tff(between_on_line_type, type, (
% 0.20/0.41     between_on_line: ( $i * $i * $i * $i ) > $o)).
% 0.20/0.41  tff(distinct_points_type, type, (
% 0.20/0.41     distinct_points: ( $i * $i ) > $o)).
% 0.20/0.41  tff(parallel_through_point_type, type, (
% 0.20/0.41     parallel_through_point: ( $i * $i ) > $i)).
% 0.20/0.41  tff(line_connecting_type, type, (
% 0.20/0.41     line_connecting: ( $i * $i ) > $i)).
% 0.20/0.41  tff(apart_point_and_line_type, type, (
% 0.20/0.41     apart_point_and_line: ( $i * $i ) > $o)).
% 0.20/0.41  tff(point_type, type, (
% 0.20/0.41     point: $i > $o)).
% 0.20/0.41  tff(distinct_lines_type, type, (
% 0.20/0.41     distinct_lines: ( $i * $i ) > $o)).
% 0.20/0.41  tff(left_convergent_lines_type, type, (
% 0.20/0.41     left_convergent_lines: ( $i * $i ) > $o)).
% 0.20/0.41  tff(formula1, axiom,
% 0.20/0.41      ![X0: $i, X1: $i, X2: $i] : (divides_points(X0, X1, X2) <=> ((~((~left_apart_point(X1, X2)) | (~left_apart_point(X0, reverse_line(X2))))) | (~((~left_apart_point(X0, X2)) | (~left_apart_point(X1, reverse_line(X2)))))))).
% 0.20/0.41  tff(formula2, axiom,
% 0.20/0.41      ![X0: $i] : (line(X0) <=> $false)).
% 0.20/0.41  tff(formula3, axiom,
% 0.20/0.41      ![X0: $i, X1: $i] : (intersection_point(X0, X1) = $i!val!0)).
% 0.20/0.41  tff(formula4, axiom,
% 0.20/0.41      ![X0: $i, X1: $i] : (unequally_directed_lines(X0, X1) <=> $false)).
% 0.20/0.41  tff(formula5, axiom,
% 0.20/0.41      ![X0: $i, X1: $i] : (convergent_lines(X0, X1) <=> (~((~unequally_directed_lines(X1, X0)) | (~unequally_directed_lines(X1, reverse_line(X0))))))).
% 0.20/0.41  tff(formula6, axiom,
% 0.20/0.41      ![X0: $i] : (reverse_line(X0) = $i!val!0)).
% 0.20/0.41  tff(formula7, axiom,
% 0.20/0.41      ![X0: $i, X1: $i, X2: $i, X3: $i] : (between_on_line(X0, X1, X2, X3) <=> ((~((~before_on_line(X3, X0, X1)) | (~before_on_line(X3, X1, X2)))) | (~((~before_on_line(X3, X2, X1)) | (~before_on_line(X3, X1, X0))))))).
% 0.20/0.41  tff(formula8, axiom,
% 0.20/0.41      ![X0: $i, X1: $i] : (distinct_points(X0, X1) <=> $false)).
% 0.20/0.41  tff(formula9, axiom,
% 0.20/0.41      ![X0: $i, X1: $i] : (parallel_through_point(X0, X1) = $i!val!0)).
% 0.20/0.41  tff(formula10, axiom,
% 0.20/0.41      ![X0: $i, X1: $i] : (left_apart_point(X0, X1) <=> $false)).
% 0.20/0.41  tff(formula11, axiom,
% 0.20/0.41      ![X0: $i, X1: $i, X2: $i] : (before_on_line(X0, X1, X2) <=> (~(left_apart_point(X1, reverse_line(X2)) | left_apart_point(X1, X2) | left_apart_point(X0, reverse_line(X2)) | left_apart_point(X0, X2) | unequally_directed_lines(X2, line_connecting(X1, X0)) | (~distinct_points(X1, X0)))))).
% 0.20/0.41  tff(formula12, axiom,
% 0.20/0.41      ![X0: $i, X1: $i] : (apart_point_and_line(X0, X1) <=> $false)).
% 0.20/0.41  tff(formula13, axiom,
% 0.20/0.41      ![X0: $i] : (point(X0) <=> $false)).
% 0.20/0.41  tff(formula14, axiom,
% 0.20/0.41      ![X0: $i, X1: $i] : (distinct_lines(X0, X1) <=> $false)).
% 0.20/0.41  tff(formula15, axiom,
% 0.20/0.41      ![X0: $i, X1: $i] : (left_convergent_lines(X0, X1) <=> $false)).
% 0.20/0.41  tff(formula16, axiom,
% 0.20/0.41      ![X0: $i, X1: $i] : (line_connecting(X0, X1) = $i!val!0)).
% 0.20/0.41  % SZS output end Model
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