TSTP Solution File: SEV125^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV125^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n018.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 19:21:37 EDT 2023
% Result : Timeout 299.92s 300.16s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV125^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 02:54:42 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TH0
% 0.21/0.50 %------------------------------------------------------------------------------
% 0.21/0.50 % File : SEV125^5 : TPTP v8.1.2. Released v4.0.0.
% 0.21/0.50 % Domain : Set Theory (Relations)
% 0.21/0.50 % Problem : TPS problem from SETS-OF-RELNS-THMS
% 0.21/0.50 % Version : Especial.
% 0.21/0.50 % English :
% 0.21/0.50
% 0.21/0.50 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.21/0.50 % Source : [Bro09]
% 0.21/0.50 % Names : tps_1087 [Bro09]
% 0.21/0.50
% 0.21/0.50 % Status : Theorem
% 0.21/0.50 % Rating : 0.92 v8.1.0, 0.91 v7.5.0, 1.00 v4.0.0
% 0.21/0.50 % Syntax : Number of formulae : 2 ( 1 unt; 1 typ; 0 def)
% 0.21/0.50 % Number of atoms : 2 ( 2 equ; 0 cnn)
% 0.21/0.50 % Maximal formula atoms : 1 ( 2 avg)
% 0.21/0.50 % Number of connectives : 35 ( 0 ~; 0 |; 6 &; 23 @)
% 0.21/0.50 % ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% 0.21/0.50 % Maximal formula depth : 3 ( 3 avg)
% 0.21/0.50 % Number of types : 2 ( 1 usr)
% 0.21/0.50 % Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% 0.21/0.50 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.21/0.50 % Number of variables : 20 ( 6 ^; 11 !; 3 ?; 20 :)
% 0.21/0.50 % SPC : TH0_THM_EQU_NAR
% 0.21/0.50
% 0.21/0.50 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.21/0.50 % project in the Department of Mathematical Sciences at Carnegie
% 0.21/0.50 % Mellon University. Distributed under the Creative Commons copyleft
% 0.21/0.50 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.21/0.50 %------------------------------------------------------------------------------
% 0.21/0.50 thf(a_type,type,
% 0.21/0.50 a: $tType ).
% 0.21/0.50
% 0.21/0.50 thf(cTHM254_pme,conjecture,
% 0.21/0.50 ! [PROP: ( a > a > $o ) > $o,S: ( a > a > $o ) > $o] :
% 0.21/0.50 ( ( ^ [Xx: a,Xy: a] :
% 0.21/0.50 ! [Xp: a > a > $o] :
% 0.21/0.50 ( ( ! [Xx0: a,Xy0: a] :
% 0.21/0.50 ( ? [R: a > a > $o] :
% 0.21/0.50 ( ( S @ R )
% 0.21/0.50 & ( R @ Xx0 @ Xy0 ) )
% 0.21/0.50 => ( Xp @ Xx0 @ Xy0 ) )
% 0.21/0.50 & ( PROP @ Xp ) )
% 0.21/0.50 => ( Xp @ Xx @ Xy ) ) )
% 0.21/0.50 = ( ^ [Xx: a,Xy: a] :
% 0.21/0.50 ! [Xp: a > a > $o] :
% 0.21/0.50 ( ( ! [Xx0: a,Xy0: a] :
% 0.21/0.50 ( ? [R: a > a > $o] :
% 0.21/0.50 ( ? [Q: a > a > $o] :
% 0.21/0.50 ( ( S @ Q )
% 0.21/0.50 & ( R
% 0.21/0.50 = ( ^ [Xx1: a,Xy1: a] :
% 0.21/0.50 ! [Xp0: a > a > $o] :
% 0.21/0.50 ( ( ! [Xx2: a,Xy2: a] :
% 0.21/0.50 ( ( Q @ Xx2 @ Xy2 )
% 0.21/0.50 => ( Xp0 @ Xx2 @ Xy2 ) )
% 0.21/0.50 & ( PROP @ Xp0 ) )
% 0.21/0.50 => ( Xp0 @ Xx1 @ Xy1 ) ) ) ) )
% 0.21/0.50 & ( R @ Xx0 @ Xy0 ) )
% 0.21/0.50 => ( Xp @ Xx0 @ Xy0 ) )
% 0.21/0.50 & ( PROP @ Xp ) )
% 0.21/0.50 => ( Xp @ Xx @ Xy ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 %------------------------------------------------------------------------------
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.PKOyuHthBN/cvc5---1.0.5_10035.p...
% 0.21/0.50 (declare-sort $$unsorted 0)
% 0.21/0.50 (declare-sort tptp.a 0)
% 0.21/0.50 (assert (not (forall ((PROP (-> (-> tptp.a tptp.a Bool) Bool)) (S (-> (-> tptp.a tptp.a Bool) Bool))) (= (lambda ((Xx tptp.a) (Xy tptp.a)) (forall ((Xp (-> tptp.a tptp.a Bool))) (=> (and (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (exists ((R (-> tptp.a tptp.a Bool))) (and (@ S R) (@ (@ R Xx0) Xy0))) (@ (@ Xp Xx0) Xy0))) (@ PROP Xp)) (@ (@ Xp Xx) Xy)))) (lambda ((Xx tptp.a) (Xy tptp.a)) (forall ((Xp (-> tptp.a tptp.a Bool))) (=> (and (forall ((Xx0 tptp.a) (Xy0 tptp.a)) (=> (exists ((R (-> tptp.a tptp.a Bool))) (and (exists ((Q (-> tptp.a tptp.a Bool))) (and (@ S Q) (= R (lambda ((Xx1 tptp.a) (Xy1 tptp.a)) (forall ((Xp0 (-> tptp.a tptp.a Bool))) (=> (and (forall ((Xx2 tptp.a) (Xy2 tptp.a)) (=> (@ (@ Q Xx2) Xy2) (@ (@ Xp0 Xx2) Xy2))) (@ PROP Xp0)) (@ (@ Xp0 Xx1) Xy1))))))) (@ (@ R Xx0) Xy0))) (@ (@ Xp Xx0) Xy0))) (@ PROP Xp)) (@ (@ Xp Xx) Xy))))))))
% 0.21/0.50 (set-info :filename cvc5---1.0.5_10035)
% 0.21/0.50 (check-sat-assuming ( true ))
% 0.21/0.50 ------- get file name : TPTP file name is SEV125^5
% 0.21/0.50 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_10035.smt2...
% 0.21/0.50 --- Run --ho-elim /export/starexec/sandbox/solver/bin/do_THM_THF: line 35: 10327 Alarm clock ( read result; case "$result" in
% 299.92/300.16 unsat)
% 299.92/300.16 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 299.92/300.16 ;;
% 299.92/300.16 sat)
% 299.92/300.16 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 299.92/300.16 ;;
% 299.92/300.16 esac; exit 1 )
% 299.92/300.17 Alarm clock
% 299.92/300.17 % cvc5---1.0.5 exiting
% 299.92/300.17 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------