TSTP Solution File: SEV158^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV158^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n031.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 19:21:43 EDT 2023
% Result : Unknown 65.93s 66.09s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV158^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n031.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
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Thu Aug 24 04:29:35 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.22/0.50 %----Proving TH0
% 65.85/66.09 %------------------------------------------------------------------------------
% 65.85/66.09 % File : SEV158^5 : TPTP v8.1.2. Released v4.0.0.
% 65.85/66.09 % Domain : Set Theory (Relations)
% 65.85/66.09 % Problem : TPS problem THM120I-1
% 65.85/66.09 % Version : Especial.
% 65.85/66.09 % English :
% 65.85/66.09
% 65.85/66.09 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 65.85/66.09 % Source : [Bro09]
% 65.85/66.09 % Names : tps_0502 [Bro09]
% 65.85/66.09 % : THM120I-1 [TPS]
% 65.85/66.09
% 65.85/66.09 % Status : Theorem
% 65.85/66.09 % Rating : 0.54 v8.1.0, 0.64 v7.5.0, 0.29 v7.4.0, 0.33 v7.2.0, 0.25 v7.1.0, 0.38 v7.0.0, 0.57 v6.4.0, 0.50 v6.3.0, 0.60 v6.2.0, 0.57 v5.5.0, 0.50 v5.4.0, 0.40 v5.2.0, 0.60 v5.1.0, 0.80 v4.1.0, 0.67 v4.0.0
% 65.85/66.09 % Syntax : Number of formulae : 1 ( 1 unt; 0 typ; 0 def)
% 65.85/66.09 % Number of atoms : 1 ( 1 equ; 0 cnn)
% 65.85/66.09 % Maximal formula atoms : 1 ( 1 avg)
% 65.85/66.09 % Number of connectives : 20 ( 0 ~; 0 |; 4 &; 14 @)
% 65.85/66.09 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 65.85/66.09 % Maximal formula depth : 11 ( 11 avg)
% 65.85/66.09 % Number of types : 2 ( 0 usr)
% 65.85/66.09 % Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% 65.85/66.09 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 65.85/66.09 % Number of variables : 8 ( 0 ^; 7 !; 1 ?; 8 :)
% 65.85/66.09 % SPC : TH0_THM_EQU_NAR
% 65.85/66.09
% 65.85/66.09 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 65.85/66.09 % project in the Department of Mathematical Sciences at Carnegie
% 65.85/66.09 % Mellon University. Distributed under the Creative Commons copyleft
% 65.85/66.09 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 65.85/66.09 % : Polymorphic definitions expanded.
% 65.85/66.09 %------------------------------------------------------------------------------
% 65.85/66.09 thf(cTHM120I_1_pme,conjecture,
% 65.85/66.09 ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
% 65.85/66.09 ( ! [Xx: $i > $o] : ( R @ Xx @ Xx )
% 65.85/66.09 & ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
% 65.85/66.09 ( ( ( R @ Xx @ Xy )
% 65.85/66.09 & ( R @ Xy @ Xz ) )
% 65.85/66.09 => ( R @ Xx @ Xz ) )
% 65.85/66.09 & ! [X: $i > $o,Y: $i > $o] :
% 65.85/66.09 ( ( ( R @ X @ Y )
% 65.85/66.09 & ( R @ Y @ X ) )
% 65.85/66.09 => ! [Xx: $i] :
% 65.85/66.09 ( ( X @ Xx )
% 65.85/66.09 = ( Y @ Xx ) ) ) ) ).
% 65.85/66.09
% 65.85/66.09 %------------------------------------------------------------------------------
% 65.85/66.09 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.qVVFG3CDxh/cvc5---1.0.5_13705.p...
% 65.85/66.09 (declare-sort $$unsorted 0)
% 65.85/66.09 (assert (not (exists ((R (-> (-> $$unsorted Bool) (-> $$unsorted Bool) Bool))) (and (forall ((Xx (-> $$unsorted Bool))) (@ (@ R Xx) Xx)) (forall ((Xx (-> $$unsorted Bool)) (Xy (-> $$unsorted Bool)) (Xz (-> $$unsorted Bool))) (let ((_let_1 (@ R Xx))) (=> (and (@ _let_1 Xy) (@ (@ R Xy) Xz)) (@ _let_1 Xz)))) (forall ((X (-> $$unsorted Bool)) (Y (-> $$unsorted Bool))) (=> (and (@ (@ R X) Y) (@ (@ R Y) X)) (forall ((Xx $$unsorted)) (= (@ X Xx) (@ Y Xx)))))))))
% 65.85/66.09 (set-info :filename cvc5---1.0.5_13705)
% 65.85/66.09 (check-sat-assuming ( true ))
% 65.85/66.09 ------- get file name : TPTP file name is SEV158^5
% 65.85/66.09 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13705.smt2...
% 65.85/66.09 --- Run --ho-elim --full-saturate-quant at 10...
% 65.85/66.09 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 65.85/66.09 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 65.85/66.09 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 65.85/66.09 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 65.85/66.09 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 10...
% 65.85/66.09 --- Run --no-ho-matching --full-saturate-quant --macros-quant-mode=all at 10...
% 65.85/66.09 --- Run --ho-elim --full-saturate-quant --enum-inst-interleave at 10...
% 65.85/66.09 --- Run --no-ho-matching --full-saturate-quant --ho-elim-store-ax at 10...
% 65.85/66.09 --- Run --ho-elim --no-ho-elim-store-ax --full-saturate-quant...
% 65.85/66.09 % cvc5---1.0.5 exiting
% 65.93/66.09 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------