TSTP Solution File: SEV143^5 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV143^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 19:21:41 EDT 2023
% Result : Timeout 300.05s 300.25s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV143^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n020.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 03:42:00 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TH0
% 10.35/10.55 %------------------------------------------------------------------------------
% 10.35/10.55 % File : SEV143^5 : TPTP v8.1.2. Bugfixed v5.2.0.
% 10.35/10.55 % Domain : Set Theory (Relations)
% 10.35/10.55 % Problem : TPS problem THM146
% 10.35/10.55 % Version : Especial.
% 10.35/10.55 % English : Equivalence of two definitions of transitive closure.
% 10.35/10.55
% 10.35/10.55 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 10.35/10.55 % Source : [Bro09]
% 10.35/10.55 % Names : tps_0568 [Bro09]
% 10.35/10.55 % : THM146 [TPS]
% 10.35/10.55
% 10.35/10.55 % Status : Theorem
% 10.35/10.55 % Rating : 1.00 v7.3.0, 0.89 v7.2.0, 0.88 v7.1.0, 1.00 v5.2.0
% 10.35/10.55 % Syntax : Number of formulae : 3 ( 2 unt; 1 typ; 1 def)
% 10.35/10.55 % Number of atoms : 3 ( 1 equ; 0 cnn)
% 10.35/10.55 % Maximal formula atoms : 1 ( 1 avg)
% 10.35/10.55 % Number of connectives : 37 ( 0 ~; 0 |; 4 &; 26 @)
% 10.35/10.55 % ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% 10.35/10.55 % Maximal formula depth : 15 ( 8 avg)
% 10.35/10.55 % Number of types : 2 ( 0 usr)
% 10.35/10.55 % Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% 10.35/10.55 % Number of symbols : 2 ( 1 usr; 0 con; 2-2 aty)
% 10.35/10.55 % Number of variables : 17 ( 2 ^; 15 !; 0 ?; 17 :)
% 10.35/10.55 % SPC : TH0_THM_EQU_NAR
% 10.35/10.55
% 10.35/10.55 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 10.35/10.55 % project in the Department of Mathematical Sciences at Carnegie
% 10.35/10.55 % Mellon University. Distributed under the Creative Commons copyleft
% 10.35/10.55 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 10.35/10.55 % : Polymorphic definitions expanded.
% 10.35/10.55 % Bugfixes : v5.2.0 - Added missing type declarations.
% 10.35/10.55 %------------------------------------------------------------------------------
% 10.35/10.55 thf(cTCLOSED_type,type,
% 10.35/10.55 cTCLOSED: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
% 10.35/10.55
% 10.35/10.55 thf(cTCLOSED_def,definition,
% 10.35/10.55 ( cTCLOSED
% 10.35/10.55 = ( ^ [Xp: $i > $i > $o,Xs: $i > $i > $o] :
% 10.35/10.55 ! [Xu: $i,Xv: $i,Xw: $i] :
% 10.35/10.55 ( ( ( Xp @ Xu @ Xv )
% 10.35/10.55 & ( Xs @ Xv @ Xw ) )
% 10.35/10.55 => ( Xp @ Xu @ Xw ) ) ) ) ).
% 10.35/10.55
% 10.35/10.55 thf(cTHM146_pme,conjecture,
% 10.35/10.55 ! [Xr: $i > $i > $o,Xx: $i,Xy: $i] :
% 10.35/10.55 ( ! [Xp: $i > $i > $o] :
% 10.35/10.55 ( ( ! [Xx0: $i,Xy0: $i] :
% 10.35/10.55 ( ( Xr @ Xx0 @ Xy0 )
% 10.35/10.55 => ( Xp @ Xx0 @ Xy0 ) )
% 10.35/10.55 & ( cTCLOSED @ Xp @ Xr ) )
% 10.35/10.55 => ( Xp @ Xx @ Xy ) )
% 10.35/10.55 <=> ! [Xp: $i > $i > $o] :
% 10.35/10.55 ( ( ! [Xx0: $i,Xy0: $i] :
% 10.35/10.55 ( ( Xr @ Xx0 @ Xy0 )
% 10.35/10.55 => ( Xp @ Xx0 @ Xy0 ) )
% 10.35/10.55 & ! [Xx0: $i,Xy0: $i,Xz: $i] :
% 10.35/10.55 ( ( ( Xp @ Xx0 @ Xy0 )
% 10.35/10.55 & ( Xp @ Xy0 @ Xz ) )
% 10.35/10.55 => ( Xp @ Xx0 @ Xz ) ) )
% 10.35/10.55 => ( Xp @ Xx @ Xy ) ) ) ).
% 10.35/10.55
% 10.35/10.55 %------------------------------------------------------------------------------
% 10.35/10.55 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.nSiy3cxrqX/cvc5---1.0.5_25760.p...
% 10.35/10.55 (declare-sort $$unsorted 0)
% 10.35/10.55 (declare-fun tptp.cTCLOSED ((-> $$unsorted $$unsorted Bool) (-> $$unsorted $$unsorted Bool)) Bool)
% 10.35/10.55 (assert (= tptp.cTCLOSED (lambda ((Xp (-> $$unsorted $$unsorted Bool)) (Xs (-> $$unsorted $$unsorted Bool))) (forall ((Xu $$unsorted) (Xv $$unsorted) (Xw $$unsorted)) (let ((_let_1 (@ Xp Xu))) (=> (and (@ _let_1 Xv) (@ (@ Xs Xv) Xw)) (@ _let_1 Xw)))))))
% 10.35/10.55 (assert (not (forall ((Xr (-> $$unsorted $$unsorted Bool)) (Xx $$unsorted) (Xy $$unsorted)) (= (forall ((Xp (-> $$unsorted $$unsorted Bool))) (=> (and (forall ((Xx0 $$unsorted) (Xy0 $$unsorted)) (=> (@ (@ Xr Xx0) Xy0) (@ (@ Xp Xx0) Xy0))) (@ (@ tptp.cTCLOSED Xp) Xr)) (@ (@ Xp Xx) Xy))) (forall ((Xp (-> $$unsorted $$unsorted Bool))) (=> (and (forall ((Xx0 $$unsorted) (Xy0 $$unsorted)) (=> (@ (@ Xr Xx0) Xy0) (@ (@ Xp Xx0) Xy0))) (forall ((Xx0 $$unsorted) (Xy0 $$unsorted) (Xz $$unsorted)) (let ((_let_1 (@ Xp Xx0))) (=> (and (@ _let_1 Xy0) (@ (@ Xp Xy0) Xz)) (@ _let_1 Xz))))) (@ (@ Xp Xx) Xy)))))))
% 10.35/10.55 (set-info :filename cvc5---1.0.5_25760)
% 10.35/10.55 (check-sat-assuming ( true ))
% 10.35/10.55 ------- get file name : TPTP file name is SEV143^5
% 10.35/10.55 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_25760.smt2...
% 10.35/10.55 --- Run --ho-elim --full-saturate-quant at 10...
% 10.35/10.55 --- Run --ho-elim --no-e-matching --/export/starexec/sandbox/solver/bin/do_THM_THF: line 35: 26141 Alarm clock ( read result; case "$result" in
% 300.05/300.25 unsat)
% 300.05/300.25 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 300.05/300.25 ;;
% 300.05/300.25 sat)
% 300.05/300.25 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 300.05/300.25 ;;
% 300.05/300.25 esac; exit 1 )
% 300.05/300.26 Alarm clock
% 300.05/300.26 % cvc5---1.0.5 exiting
% 300.05/300.26 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------