TSTP Solution File: SEV321^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV321^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n016.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 19:22:11 EDT 2023
% Result : Timeout 299.95s 300.24s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV321^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 24 03:52:39 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.23/0.51 %----Proving TH0
% 45.56/45.86 %------------------------------------------------------------------------------
% 45.56/45.86 % File : SEV321^5 : TPTP v8.1.2. Released v4.0.0.
% 45.56/45.86 % Domain : Set Theory
% 45.56/45.86 % Problem : TPS problem from KNASTER-TARSKI
% 45.56/45.86 % Version : Especial.
% 45.56/45.86 % English : Related to the Knaster-Tarski theorem.
% 45.56/45.86
% 45.56/45.86 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 45.56/45.86 % Source : [Bro09]
% 45.56/45.86 % Names : tps_1069 [Bro09]
% 45.56/45.86
% 45.56/45.86 % Status : Theorem
% 45.56/45.86 % Rating : 0.91 v8.1.0, 0.92 v7.5.0, 1.00 v4.0.0
% 45.56/45.86 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 45.56/45.86 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 45.56/45.86 % Maximal formula atoms : 0 ( 0 avg)
% 45.56/45.86 % Number of connectives : 45 ( 0 ~; 0 |; 6 &; 32 @)
% 45.56/45.86 % ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% 45.56/45.86 % Maximal formula depth : 13 ( 13 avg)
% 45.56/45.86 % Number of types : 2 ( 1 usr)
% 45.56/45.86 % Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% 45.56/45.86 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 45.56/45.86 % Number of variables : 13 ( 0 ^; 12 !; 1 ?; 13 :)
% 45.56/45.86 % SPC : TH0_THM_NEQ_NAR
% 45.56/45.86
% 45.56/45.86 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 45.56/45.86 % project in the Department of Mathematical Sciences at Carnegie
% 45.56/45.86 % Mellon University. Distributed under the Creative Commons copyleft
% 45.56/45.86 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 45.56/45.86 %------------------------------------------------------------------------------
% 45.56/45.86 thf(a_type,type,
% 45.56/45.86 a: $tType ).
% 45.56/45.86
% 45.56/45.86 thf(cTHM145_C_pme,conjecture,
% 45.56/45.86 ! [R: a > a > $o,U: ( a > $o ) > a] :
% 45.56/45.86 ( ( ! [Xx: a,Xy: a,Xz: a] :
% 45.56/45.86 ( ( ( R @ Xx @ Xy )
% 45.56/45.86 & ( R @ Xy @ Xz ) )
% 45.56/45.86 => ( R @ Xx @ Xz ) )
% 45.56/45.86 & ! [Xs: a > $o] :
% 45.56/45.86 ( ! [Xz: a] :
% 45.56/45.86 ( ( Xs @ Xz )
% 45.56/45.86 => ( R @ Xz @ ( U @ Xs ) ) )
% 45.56/45.86 & ! [Xj: a] :
% 45.56/45.86 ( ! [Xk: a] :
% 45.56/45.86 ( ( ( Xs @ Xk )
% 45.56/45.86 & ( Xs @ Xk ) )
% 45.56/45.86 => ( R @ Xk @ Xj ) )
% 45.56/45.86 => ( ( R @ ( U @ Xs ) @ Xj )
% 45.56/45.86 & ( R @ ( U @ Xs ) @ Xj ) ) ) ) )
% 45.56/45.86 => ! [Xf: a > a] :
% 45.56/45.86 ( ! [Xx: a,Xy: a] :
% 45.56/45.86 ( ( R @ Xx @ Xy )
% 45.56/45.86 => ( R @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
% 45.56/45.86 => ? [Xw: a] :
% 45.56/45.86 ( ( R @ Xw @ ( Xf @ Xw ) )
% 45.56/45.86 & ( R @ ( Xf @ Xw ) @ Xw ) ) ) ) ).
% 45.56/45.86
% 45.56/45.86 %------------------------------------------------------------------------------
% 45.56/45.86 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Cmm17bDXtk/cvc5---1.0.5_6931.p...
% 45.56/45.86 (declare-sort $$unsorted 0)
% 45.56/45.86 (declare-sort tptp.a 0)
% 45.56/45.86 (assert (not (forall ((R (-> tptp.a tptp.a Bool)) (U (-> (-> tptp.a Bool) tptp.a))) (=> (and (forall ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (let ((_let_1 (@ R Xx))) (=> (and (@ _let_1 Xy) (@ (@ R Xy) Xz)) (@ _let_1 Xz)))) (forall ((Xs (-> tptp.a Bool))) (and (forall ((Xz tptp.a)) (=> (@ Xs Xz) (@ (@ R Xz) (@ U Xs)))) (forall ((Xj tptp.a)) (let ((_let_1 (@ (@ R (@ U Xs)) Xj))) (=> (forall ((Xk tptp.a)) (let ((_let_1 (@ Xs Xk))) (=> (and _let_1 _let_1) (@ (@ R Xk) Xj)))) (and _let_1 _let_1))))))) (forall ((Xf (-> tptp.a tptp.a))) (=> (forall ((Xx tptp.a) (Xy tptp.a)) (=> (@ (@ R Xx) Xy) (@ (@ R (@ Xf Xx)) (@ Xf Xy)))) (exists ((Xw tptp.a)) (let ((_let_1 (@ Xf Xw))) (and (@ (@ R Xw) _let_1) (@ (@ R _let_1) Xw))))))))))
% 45.56/45.86 (set-info :filename cvc5---1.0.5_6931)
% 45.56/45.86 (check-sat-assuming ( true ))
% 45.56/45.86 ------- get file name : TPTP file name is SEV321^5
% 45.56/45.86 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6931.smt2...
% 45.56/45.86 --- Run --ho-elim --full-saturate-quant at 10...
% 45.56/45.86 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 45.56/45.86 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 45.56/45.86 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 45.56/45.86 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 45.56/45.86 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 10...
% 45.56/45.86 --- Run --no-ho-matching --full-saturate-quant --macros-quant-mode=a/export/starexec/sandbox2/solver/bin/do_THM_THF: line 35: 7080 Alarm clock ( read result; case "$result" in
% 299.95/300.24 unsat)
% 299.95/300.24 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 299.95/300.24 ;;
% 299.95/300.24 sat)
% 299.95/300.24 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 299.95/300.24 ;;
% 299.95/300.24 esac; exit 1 )
% 299.95/300.24 Alarm clock
% 299.95/300.24 % cvc5---1.0.5 exiting
% 299.95/300.25 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------