TSTP Solution File: GEO078-6 by cvc5-SAT---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5-SAT---1.0.5
% Problem  : GEO078-6 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% 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 Nov 24 04:09:35 EST 2023

% Result   : Satisfiable 18.46s 18.72s
% Output   : FiniteModel 18.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GEO078-6 : TPTP v8.1.2. Released v2.7.0.
% 0.04/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n019.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 Nov 23 21:15:00 EST 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  %----Disproving FOF, CNF
% 0.19/0.48  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.uxza63o7qR/cvc5---1.0.5_6658.p...
% 0.19/0.49  ------- get file name : TPTP file name is GEO078-6
% 0.19/0.49  ------- cvc5-fnt : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_6658.smt2...
% 0.19/0.49  --- Run --finite-model-find at 30...
% 18.46/18.72  % SZS status Satisfiable for GEO078-6
% 18.46/18.72  % SZS output start FiniteModel for GEO078-6
% 18.46/18.72  (
% 18.46/18.72  ; cardinality of $$unsorted is 4
% 18.46/18.72  ; rep: (as @$$unsorted_0 $$unsorted)
% 18.46/18.72  ; rep: (as @$$unsorted_1 $$unsorted)
% 18.46/18.72  ; rep: (as @$$unsorted_2 $$unsorted)
% 18.46/18.72  ; rep: (as @$$unsorted_3 $$unsorted)
% 18.46/18.72  (define-fun tptp.line_from_to (($x1 $$unsorted) ($x2 $$unsorted)) $$unsorted (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2)) (as @$$unsorted_3 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (as @$$unsorted_3 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2)) (as @$$unsorted_3 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (as @$$unsorted_3 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (as @$$unsorted_3 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2)) (as @$$unsorted_3 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (as @$$unsorted_3 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted))))))))))))))
% 18.46/18.72  (define-fun tptp.point_on_line (($x1 $$unsorted) ($x2 $$unsorted)) Bool (or (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2)) (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2)) (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2)) (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2)) (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2))))
% 18.46/18.72  (define-fun tptp.point (($x1 $$unsorted)) Bool true)
% 18.46/18.72  (define-fun tptp.line (($x1 $$unsorted)) Bool true)
% 18.46/18.72  (define-fun tptp.point_1_on_line (($x1 $$unsorted)) $$unsorted (ite (= (as @$$unsorted_2 $$unsorted) $x1) (as @$$unsorted_2 $$unsorted) (ite (= (as @$$unsorted_3 $$unsorted) $x1) (as @$$unsorted_1 $$unsorted) (ite (= (as @$$unsorted_0 $$unsorted) $x1) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))))
% 18.46/18.72  (define-fun tptp.point_2_on_line (($x1 $$unsorted)) $$unsorted (ite (= (as @$$unsorted_1 $$unsorted) $x1) (as @$$unsorted_3 $$unsorted) (ite (= (as @$$unsorted_0 $$unsorted) $x1) (as @$$unsorted_3 $$unsorted) (ite (= (as @$$unsorted_2 $$unsorted) $x1) (as @$$unsorted_3 $$unsorted) (as @$$unsorted_0 $$unsorted)))))
% 18.46/18.72  (define-fun tptp.a_point_not_on_line (($x1 $$unsorted)) $$unsorted (ite (= (as @$$unsorted_0 $$unsorted) $x1) (as @$$unsorted_2 $$unsorted) (ite (= (as @$$unsorted_3 $$unsorted) $x1) (as @$$unsorted_3 $$unsorted) (as @$$unsorted_1 $$unsorted))))
% 18.46/18.72  (define-fun tptp.at_least_one_line () $$unsorted (as @$$unsorted_3 $$unsorted))
% 18.46/18.72  (define-fun tptp.plane (($x1 $$unsorted)) Bool true)
% 18.46/18.72  (define-fun tptp.a_point_on_plane (($x1 $$unsorted)) $$unsorted (ite (= (as @$$unsorted_1 $$unsorted) $x1) (as @$$unsorted_3 $$unsorted) (ite (= (as @$$unsorted_0 $$unsorted) $x1) (as @$$unsorted_3 $$unsorted) (as @$$unsorted_1 $$unsorted))))
% 18.46/18.72  (define-fun tptp.point_on_plane (($x1 $$unsorted) ($x2 $$unsorted)) Bool (or (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2)) (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2)) (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2)) (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2)) (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2)) (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2))))
% 18.46/18.72  (define-fun tptp.a_point_not_on_plane (($x1 $$unsorted)) $$unsorted (ite (= (as @$$unsorted_1 $$unsorted) $x1) (as @$$unsorted_2 $$unsorted) (ite (= (as @$$unsorted_3 $$unsorted) $x1) (as @$$unsorted_3 $$unsorted) (ite (= (as @$$unsorted_0 $$unsorted) $x1) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_0 $$unsorted)))))
% 18.46/18.72  (define-fun tptp.plane_for_points (($x1 $$unsorted) ($x2 $$unsorted) ($x3 $$unsorted)) $$unsorted (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_3 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_3 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_3 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_3 $$unsorted) $x3)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_3 $$unsorted) $x3)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_3 $$unsorted) $x3)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_3 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_3 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (as @$$unsorted_3 $$unsorted)))))))))))))))))))))))
% 18.46/18.72  (define-fun tptp.collinear (($x1 $$unsorted) ($x2 $$unsorted) ($x3 $$unsorted)) Bool (and (not (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3))) (not (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3))) (not (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_3 $$unsorted) $x3))) (not (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3))) (not (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3))) (not (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_3 $$unsorted) $x3))) (not (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3))) (not (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3))) (not (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_3 $$unsorted) $x3))) (not (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_3 $$unsorted) $x3))) (not (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3))) (not (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3))) (not (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3))) (not (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_3 $$unsorted) $x3))) (not (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_3 $$unsorted) $x3))) (not (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3))) (not (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3))) (not (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)))))
% 18.46/18.72  (define-fun tptp.line_on_plane (($x1 $$unsorted) ($x2 $$unsorted)) Bool true)
% 18.46/18.72  (define-fun tptp.common_point_on_planes (($x1 $$unsorted) ($x2 $$unsorted) ($x3 $$unsorted)) $$unsorted (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_3 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_3 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_3 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_3 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_3 $$unsorted) (ite (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_3 $$unsorted) $x3)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_3 $$unsorted) $x3)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_3 $$unsorted) $x3)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_3 $$unsorted) $x3)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_3 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_3 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_3 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_3 $$unsorted) (ite (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_3 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_3 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_3 $$unsorted) (ite (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_3 $$unsorted) (ite (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_3 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_3 $$unsorted) (ite (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_3 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_3 $$unsorted) (as @$$unsorted_2 $$unsorted)))))))))))))))))))))))))))))))
% 18.46/18.72  (define-fun tptp.line_through_3_points (($x1 $$unsorted) ($x2 $$unsorted) ($x3 $$unsorted)) $$unsorted (ite (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_3 $$unsorted) $x3)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_3 $$unsorted) $x3)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_3 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_3 $$unsorted) $x3)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_3 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (as @$$unsorted_3 $$unsorted)))))))))))))
% 18.46/18.72  (define-fun tptp.a_plane () $$unsorted (as @$$unsorted_3 $$unsorted))
% 18.46/18.72  )
% 18.46/18.72  % SZS output end FiniteModel for GEO078-6
% 18.54/18.73  % cvc5---1.0.5 exiting
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