TSTP Solution File: SWW103+1 by cvc5-SAT---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5-SAT---1.0.5
% Problem  : SWW103+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% 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 : Fri Nov 24 04:30:40 EST 2023

% Result   : Satisfiable 1.32s 1.59s
% Output   : FiniteModel 1.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : SWW103+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13  % Command    : do_cvc5 %s %d
% 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   : Wed Nov 22 20:20:45 EST 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.46  %----Disproving FOF, CNF
% 0.20/0.47  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.w0u7XAcR4Z/cvc5---1.0.5_24441.p...
% 0.32/0.55  ------- get file name : TPTP file name is SWW103+1
% 0.32/0.55  ------- cvc5-fnt : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24441.smt2...
% 0.32/0.55  --- Run --finite-model-find at 30...
% 1.32/1.59  % SZS status Satisfiable for SWW103+1
% 1.32/1.59  % SZS output start FiniteModel for SWW103+1
% 1.32/1.59  (
% 1.32/1.59  ; cardinality of $$unsorted is 3
% 1.32/1.59  ; rep: (as @$$unsorted_0 $$unsorted)
% 1.32/1.59  ; rep: (as @$$unsorted_1 $$unsorted)
% 1.32/1.59  ; rep: (as @$$unsorted_2 $$unsorted)
% 1.32/1.59  (define-fun tptp.bool (($x1 $$unsorted)) Bool (or (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x1)))
% 1.32/1.59  (define-fun tptp.false () $$unsorted (as @$$unsorted_0 $$unsorted))
% 1.32/1.59  (define-fun tptp.true () $$unsorted (as @$$unsorted_2 $$unsorted))
% 1.32/1.59  (define-fun tptp.err () $$unsorted (as @$$unsorted_1 $$unsorted))
% 1.32/1.59  (define-fun tptp.d (($x1 $$unsorted)) Bool true)
% 1.32/1.59  (define-fun tptp.forallprefers (($x1 $$unsorted) ($x2 $$unsorted)) Bool (or (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2))))
% 1.32/1.59  (define-fun tptp.existsprefers (($x1 $$unsorted) ($x2 $$unsorted)) Bool (or (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2))))
% 1.32/1.59  (define-fun tptp.phi (($x1 $$unsorted)) $$unsorted (ite (= (as @$$unsorted_0 $$unsorted) $x1) (as @$$unsorted_0 $$unsorted) (ite (= (as @$$unsorted_2 $$unsorted) $x1) (as @$$unsorted_2 $$unsorted) (as @$$unsorted_1 $$unsorted))))
% 1.32/1.59  (define-fun tptp.prop (($x1 $$unsorted)) $$unsorted (ite (= (as @$$unsorted_1 $$unsorted) $x1) (as @$$unsorted_0 $$unsorted) (as @$$unsorted_2 $$unsorted)))
% 1.32/1.59  (define-fun tptp.impl (($x1 $$unsorted) ($x2 $$unsorted)) $$unsorted (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (as @$$unsorted_2 $$unsorted) (as @$$unsorted_1 $$unsorted))))))
% 1.32/1.59  (define-fun tptp.lazy_impl (($x1 $$unsorted) ($x2 $$unsorted)) $$unsorted (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (as @$$unsorted_2 $$unsorted) (as @$$unsorted_1 $$unsorted)))))))
% 1.32/1.59  (define-fun tptp.and1 (($x1 $$unsorted) ($x2 $$unsorted)) $$unsorted (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (as @$$unsorted_2 $$unsorted) (as @$$unsorted_1 $$unsorted))))))
% 1.32/1.59  (define-fun tptp.f1 (($x1 $$unsorted) ($x2 $$unsorted) ($x3 $$unsorted)) $$unsorted (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$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_0 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (as @$$unsorted_0 $$unsorted))))))))))))))))))))))))))
% 1.32/1.59  (define-fun tptp.and2 (($x1 $$unsorted) ($x2 $$unsorted)) $$unsorted (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (as @$$unsorted_2 $$unsorted) (as @$$unsorted_1 $$unsorted))))))
% 1.32/1.59  (define-fun tptp.lazy_and1 (($x1 $$unsorted) ($x2 $$unsorted)) $$unsorted (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (as @$$unsorted_2 $$unsorted) (as @$$unsorted_1 $$unsorted)))))))
% 1.32/1.59  (define-fun tptp.f2 (($x1 $$unsorted) ($x2 $$unsorted) ($x3 $$unsorted)) $$unsorted (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_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_0 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_2 $$unsorted) (as @$$unsorted_0 $$unsorted)))))))))))))))))))))))))
% 1.32/1.59  (define-fun tptp.lazy_and2 (($x1 $$unsorted) ($x2 $$unsorted)) $$unsorted (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (as @$$unsorted_2 $$unsorted) (as @$$unsorted_1 $$unsorted)))))))
% 1.32/1.59  (define-fun tptp.or1 (($x1 $$unsorted) ($x2 $$unsorted)) $$unsorted (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (as @$$unsorted_2 $$unsorted) (as @$$unsorted_1 $$unsorted))))))
% 1.32/1.59  (define-fun tptp.f3 (($x1 $$unsorted) ($x2 $$unsorted) ($x3 $$unsorted)) $$unsorted (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$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_0 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_0 $$unsorted) (as @$$unsorted_2 $$unsorted)))))))))))))
% 1.32/1.59  (define-fun tptp.or2 (($x1 $$unsorted) ($x2 $$unsorted)) $$unsorted (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (as @$$unsorted_2 $$unsorted) (as @$$unsorted_1 $$unsorted))))))
% 1.32/1.59  (define-fun tptp.apply (($x1 $$unsorted) ($x2 $$unsorted)) $$unsorted (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2)) (as @$$unsorted_0 $$unsorted) (as @$$unsorted_1 $$unsorted)))))
% 1.32/1.59  (define-fun tptp.exists1 (($x1 $$unsorted)) $$unsorted (ite (= (as @$$unsorted_0 $$unsorted) $x1) (as @$$unsorted_0 $$unsorted) (as @$$unsorted_1 $$unsorted)))
% 1.32/1.59  (define-fun tptp.f4 (($x1 $$unsorted) ($x2 $$unsorted) ($x3 $$unsorted)) $$unsorted (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_2 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2) (= (as @$$unsorted_0 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2) (= (as @$$unsorted_1 $$unsorted) $x3)) (as @$$unsorted_1 $$unsorted) (as @$$unsorted_2 $$unsorted)))))))))))))))))))))))
% 1.32/1.59  (define-fun tptp.f5 (($x1 $$unsorted) ($x2 $$unsorted)) $$unsorted (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (as @$$unsorted_2 $$unsorted) (as @$$unsorted_1 $$unsorted))))
% 1.32/1.59  (define-fun tptp.f6 (($x1 $$unsorted) ($x2 $$unsorted)) $$unsorted (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_0 $$unsorted) $x2)) (as @$$unsorted_0 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_2 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_1 $$unsorted) $x1) (= (as @$$unsorted_1 $$unsorted) $x2)) (as @$$unsorted_2 $$unsorted) (ite (and (= (as @$$unsorted_0 $$unsorted) $x1) (= (as @$$unsorted_2 $$unsorted) $x2)) (as @$$unsorted_2 $$unsorted) (as @$$unsorted_1 $$unsorted)))))))
% 1.32/1.59  (define-fun tptp.exists2 (($x1 $$unsorted)) $$unsorted (ite (= (as @$$unsorted_0 $$unsorted) $x1) (as @$$unsorted_0 $$unsorted) (as @$$unsorted_1 $$unsorted)))
% 1.32/1.59  (define-fun tptp.false1 () $$unsorted (as @$$unsorted_0 $$unsorted))
% 1.32/1.59  (define-fun tptp.f7 (($x1 $$unsorted)) $$unsorted (ite (= (as @$$unsorted_0 $$unsorted) $x1) (as @$$unsorted_0 $$unsorted) (as @$$unsorted_2 $$unsorted)))
% 1.32/1.59  (define-fun tptp.false2 () $$unsorted (as @$$unsorted_0 $$unsorted))
% 1.32/1.59  (define-fun tptp.not1 (($x1 $$unsorted)) $$unsorted (ite (= (as @$$unsorted_2 $$unsorted) $x1) (as @$$unsorted_0 $$unsorted) (ite (= (as @$$unsorted_0 $$unsorted) $x1) (as @$$unsorted_2 $$unsorted) (as @$$unsorted_1 $$unsorted))))
% 1.32/1.59  (define-fun tptp.not2 (($x1 $$unsorted)) $$unsorted (ite (= (as @$$unsorted_2 $$unsorted) $x1) (as @$$unsorted_0 $$unsorted) (ite (= (as @$$unsorted_0 $$unsorted) $x1) (as @$$unsorted_2 $$unsorted) (as @$$unsorted_1 $$unsorted))))
% 1.32/1.59  )
% 1.32/1.59  % SZS output end FiniteModel for SWW103+1
% 1.32/1.59  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------