TSTP Solution File: SYN995^1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN995^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n017.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 1 02:05:49 EDT 2023
% Result : CounterSatisfiable 30.54s 30.96s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN995^1 : TPTP v8.1.2. Released v3.7.0.
% 0.07/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n017.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 : Sat Aug 26 18:10:11 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TH0
% 30.54/30.96 %------------------------------------------------------------------------------
% 30.54/30.96 % File : SYN995^1 : TPTP v8.1.2. Released v3.7.0.
% 30.54/30.96 % Domain : Syntactic
% 30.54/30.96 % Problem : Every function has a fixed point
% 30.54/30.96 % Version : Especial.
% 30.54/30.96 % English :
% 30.54/30.96
% 30.54/30.96 % Refs : [BB05] Benzmueller & Brown (2005), A Structured Set of Higher
% 30.54/30.96 % : [Ben09] Benzmueller (2009), Email to Geoff Sutcliffe
% 30.54/30.96 % Source : [Ben09]
% 30.54/30.96 % Names : Example 3 [BB05]
% 30.54/30.96
% 30.54/30.96 % Status : CounterCounterSatisfiable
% 30.54/30.96 % Rating : 0.50 v8.1.0, 0.20 v7.4.0, 0.25 v7.2.0, 0.33 v4.1.0, 0.00 v3.7.0
% 30.54/30.96 % Syntax : Number of formulae : 3 ( 2 unt; 1 typ; 1 def)
% 30.54/30.96 % Number of atoms : 3 ( 1 equ; 0 cnn)
% 30.54/30.96 % Maximal formula atoms : 1 ( 1 avg)
% 30.54/30.96 % Number of connectives : 6 ( 0 ~; 0 |; 0 &; 5 @)
% 30.54/30.96 % ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% 30.54/30.96 % Maximal formula depth : 6 ( 4 avg)
% 30.54/30.96 % Number of types : 2 ( 0 usr)
% 30.54/30.96 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 30.54/30.96 % Number of symbols : 2 ( 1 usr; 0 con; 2-2 aty)
% 30.54/30.96 % Number of variables : 5 ( 2 ^; 2 !; 1 ?; 5 :)
% 30.54/30.96 % SPC : TH0_CSA_EQU_NAR
% 30.54/30.96
% 30.54/30.96 % Comments :
% 30.54/30.96 %------------------------------------------------------------------------------
% 30.54/30.96 thf(leibeq_decl,type,
% 30.54/30.96 leibeq: $i > $i > $o ).
% 30.54/30.96
% 30.54/30.96 thf(leibeq,definition,
% 30.54/30.96 ( leibeq
% 30.54/30.96 = ( ^ [X: $i,Y: $i] :
% 30.54/30.96 ! [P: $i > $o] :
% 30.54/30.96 ( ( P @ X )
% 30.54/30.96 <=> ( P @ Y ) ) ) ) ).
% 30.54/30.96
% 30.54/30.96 thf(conj,conjecture,
% 30.54/30.96 ! [F: $i > $i] :
% 30.54/30.96 ? [X: $i] : ( leibeq @ ( F @ X ) @ X ) ).
% 30.54/30.96
% 30.54/30.96 %------------------------------------------------------------------------------
% 30.54/30.96 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.kaWiEStG0m/cvc5---1.0.5_10128.p...
% 30.54/30.96 (declare-sort $$unsorted 0)
% 30.54/30.96 (declare-fun tptp.leibeq ($$unsorted $$unsorted) Bool)
% 30.54/30.96 (assert (= tptp.leibeq (lambda ((X $$unsorted) (Y $$unsorted)) (forall ((P (-> $$unsorted Bool))) (= (@ P X) (@ P Y))))))
% 30.54/30.96 (assert (not (forall ((F (-> $$unsorted $$unsorted))) (exists ((X $$unsorted)) (@ (@ tptp.leibeq (@ F X)) X)))))
% 30.54/30.96 (set-info :filename cvc5---1.0.5_10128)
% 30.54/30.96 (check-sat-assuming ( true ))
% 30.54/30.96 ------- get file name : TPTP file name is SYN995^1
% 30.54/30.96 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10128.smt2...
% 30.54/30.96 --- Run --ho-elim --full-saturate-quant at 10...
% 30.54/30.96 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 30.54/30.96 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 30.54/30.96 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 30.54/30.96 % SZS status CounterSatisfiable for SYN995^1
% 30.54/30.96 % cvc5---1.0.5 exiting
% 30.54/30.96 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------