TSTP Solution File: SEV400^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV400^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n024.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 : Thu Aug 31 19:22:25 EDT 2023
% Result : Unknown 65.88s 66.14s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEV400^5 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 02:24:25 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TH0
% 65.88/66.14 %------------------------------------------------------------------------------
% 65.88/66.14 % File : SEV400^5 : TPTP v8.1.2. Released v4.0.0.
% 65.88/66.14 % Domain : Set Theory
% 65.88/66.14 % Problem : TPS problem THM590
% 65.88/66.14 % Version : Especial.
% 65.88/66.14 % English : A simple theorem about existence of intersection.
% 65.88/66.14
% 65.88/66.14 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 65.88/66.14 % Source : [Bro09]
% 65.88/66.14 % Names : tps_0451 [Bro09]
% 65.88/66.14 % : THM590 [TPS]
% 65.88/66.14
% 65.88/66.14 % Status : Theorem
% 65.88/66.14 % Rating : 0.64 v8.1.0, 0.75 v7.4.0, 0.67 v7.3.0, 0.70 v7.2.0, 0.62 v7.1.0, 0.57 v7.0.0, 0.75 v6.4.0, 0.71 v6.3.0, 0.67 v5.5.0, 0.80 v5.4.0, 0.75 v4.1.0, 0.67 v4.0.0
% 65.88/66.14 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% 65.88/66.14 % Number of atoms : 4 ( 0 equ; 0 cnn)
% 65.88/66.14 % Maximal formula atoms : 4 ( 4 avg)
% 65.88/66.14 % Number of connectives : 19 ( 0 ~; 0 |; 3 &; 10 @)
% 65.88/66.14 % ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% 65.88/66.14 % Maximal formula depth : 10 ( 10 avg)
% 65.88/66.14 % Number of types : 2 ( 0 usr)
% 65.88/66.14 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 65.88/66.14 % Number of symbols : 2 ( 2 usr; 0 con; 1-1 aty)
% 65.88/66.14 % Number of variables : 7 ( 0 ^; 6 !; 1 ?; 7 :)
% 65.88/66.14 % SPC : TH0_THM_NEQ_NAR
% 65.88/66.14
% 65.88/66.14 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 65.88/66.14 % project in the Department of Mathematical Sciences at Carnegie
% 65.88/66.14 % Mellon University. Distributed under the Creative Commons copyleft
% 65.88/66.14 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 65.88/66.14 % : Polymorphic definitions expanded.
% 65.88/66.14 %------------------------------------------------------------------------------
% 65.88/66.14 thf(cQ,type,
% 65.88/66.14 cQ: $i > $o ).
% 65.88/66.14
% 65.88/66.14 thf(cP,type,
% 65.88/66.14 cP: $i > $o ).
% 65.88/66.14
% 65.88/66.14 thf(cTHM590_pme,conjecture,
% 65.88/66.14 ? [S: $i > $o] :
% 65.88/66.14 ( ! [Xx: $i] :
% 65.88/66.14 ( ( S @ Xx )
% 65.88/66.14 => ( cP @ Xx ) )
% 65.88/66.14 & ! [Xx: $i] :
% 65.88/66.14 ( ( S @ Xx )
% 65.88/66.14 => ( cQ @ Xx ) )
% 65.88/66.14 & ! [R: $i > $o] :
% 65.88/66.14 ( ( ! [Xx: $i] :
% 65.88/66.14 ( ( R @ Xx )
% 65.88/66.14 => ( cP @ Xx ) )
% 65.88/66.14 & ! [Xx: $i] :
% 65.88/66.14 ( ( R @ Xx )
% 65.88/66.14 => ( cQ @ Xx ) ) )
% 65.88/66.14 => ! [Xx: $i] :
% 65.88/66.14 ( ( R @ Xx )
% 65.88/66.14 => ( S @ Xx ) ) ) ) ).
% 65.88/66.14
% 65.88/66.14 %------------------------------------------------------------------------------
% 65.88/66.14 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.UXpORPZbYz/cvc5---1.0.5_30881.p...
% 65.88/66.14 (declare-sort $$unsorted 0)
% 65.88/66.14 (declare-fun tptp.cQ ($$unsorted) Bool)
% 65.88/66.14 (declare-fun tptp.cP ($$unsorted) Bool)
% 65.88/66.14 (assert (not (exists ((S (-> $$unsorted Bool))) (and (forall ((Xx $$unsorted)) (=> (@ S Xx) (@ tptp.cP Xx))) (forall ((Xx $$unsorted)) (=> (@ S Xx) (@ tptp.cQ Xx))) (forall ((R (-> $$unsorted Bool))) (=> (and (forall ((Xx $$unsorted)) (=> (@ R Xx) (@ tptp.cP Xx))) (forall ((Xx $$unsorted)) (=> (@ R Xx) (@ tptp.cQ Xx)))) (forall ((Xx $$unsorted)) (=> (@ R Xx) (@ S Xx)))))))))
% 65.88/66.14 (set-info :filename cvc5---1.0.5_30881)
% 65.88/66.14 (check-sat-assuming ( true ))
% 65.88/66.14 ------- get file name : TPTP file name is SEV400^5
% 65.88/66.14 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30881.smt2...
% 65.88/66.14 --- Run --ho-elim --full-saturate-quant at 10...
% 65.88/66.14 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 65.88/66.14 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 65.88/66.14 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 65.88/66.14 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 65.88/66.14 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 10...
% 65.88/66.14 --- Run --no-ho-matching --full-saturate-quant --macros-quant-mode=all at 10...
% 65.88/66.14 --- Run --ho-elim --full-saturate-quant --enum-inst-interleave at 10...
% 65.88/66.14 --- Run --no-ho-matching --full-saturate-quant --ho-elim-store-ax at 10...
% 65.88/66.14 --- Run --ho-elim --no-ho-elim-store-ax --full-saturate-quant...
% 65.88/66.14 % cvc5---1.0.5 exiting
% 65.88/66.14 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------