TSTP Solution File: QUA016^1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : QUA016^1 : TPTP v8.1.2. Released v4.1.0.
% 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 13:31:31 EDT 2023
% Result : Timeout 299.90s 300.20s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : QUA016^1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.12 % Command : do_cvc5 %s %d
% 0.11/0.32 % Computer : n020.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat Aug 26 16:40:44 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.16/0.44 %----Proving TH0
% 0.16/0.44 %------------------------------------------------------------------------------
% 0.16/0.44 % File : QUA016^1 : TPTP v8.1.2. Released v4.1.0.
% 0.16/0.44 % Domain : Quantales
% 0.16/0.44 % Problem : Isotony with respect to addition
% 0.16/0.44 % Version : [Hoe09] axioms.
% 0.16/0.44 % English :
% 0.16/0.44
% 0.16/0.44 % Refs : [Con71] Conway (1971), Regular Algebra and Finite Machines
% 0.16/0.44 % : [Hoe09] Hoefner (2009), Email to Geoff Sutcliffe
% 0.16/0.44 % Source : [Hoe09]
% 0.16/0.44 % Names : QUA16 [Hoe09]
% 0.16/0.44
% 0.16/0.44 % Status : Theorem
% 0.16/0.44 % Rating : 1.00 v4.1.0
% 0.16/0.44 % Syntax : Number of formulae : 27 ( 13 unt; 12 typ; 7 def)
% 0.16/0.44 % Number of atoms : 52 ( 17 equ; 0 cnn)
% 0.16/0.44 % Maximal formula atoms : 8 ( 3 avg)
% 0.16/0.44 % Number of connectives : 56 ( 0 ~; 1 |; 4 &; 49 @)
% 0.16/0.44 % ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% 0.16/0.44 % Maximal formula depth : 10 ( 2 avg)
% 0.16/0.44 % Number of types : 2 ( 0 usr)
% 0.16/0.44 % Number of type conns : 45 ( 45 >; 0 *; 0 +; 0 <<)
% 0.16/0.44 % Number of symbols : 17 ( 15 usr; 6 con; 0-3 aty)
% 0.16/0.44 % Number of variables : 30 ( 15 ^; 11 !; 4 ?; 30 :)
% 0.16/0.44 % SPC : TH0_THM_EQU_NAR
% 0.16/0.44
% 0.16/0.44 % Comments :
% 0.16/0.44 %------------------------------------------------------------------------------
% 0.16/0.44 %----Include axioms for Quantales
% 0.16/0.44 %------------------------------------------------------------------------------
% 0.16/0.44 %----Usual Definition of Set Theory
% 0.16/0.44 thf(emptyset_type,type,
% 0.16/0.44 emptyset: $i > $o ).
% 0.16/0.44
% 0.16/0.44 thf(emptyset_def,definition,
% 0.16/0.44 ( emptyset
% 0.16/0.44 = ( ^ [X: $i] : $false ) ) ).
% 0.16/0.44
% 0.16/0.44 thf(union_type,type,
% 0.16/0.44 union: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.16/0.44
% 0.16/0.44 thf(union_def,definition,
% 0.16/0.44 ( union
% 0.16/0.44 = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
% 0.16/0.44 ( ( X @ U )
% 0.16/0.44 | ( Y @ U ) ) ) ) ).
% 0.16/0.44
% 0.16/0.44 thf(singleton_type,type,
% 0.16/0.44 singleton: $i > $i > $o ).
% 0.16/0.44
% 0.16/0.44 thf(singleton_def,definition,
% 0.16/0.44 ( singleton
% 0.16/0.44 = ( ^ [X: $i,U: $i] : ( U = X ) ) ) ).
% 0.16/0.44
% 0.16/0.44 %----Supremum Definition
% 0.16/0.44 thf(zero_type,type,
% 0.16/0.44 zero: $i ).
% 0.16/0.44
% 0.16/0.44 thf(sup_type,type,
% 0.16/0.44 sup: ( $i > $o ) > $i ).
% 0.16/0.44
% 0.16/0.44 thf(sup_es,axiom,
% 0.16/0.44 ( ( sup @ emptyset )
% 0.16/0.44 = zero ) ).
% 0.16/0.44
% 0.16/0.44 thf(sup_singleset,axiom,
% 0.16/0.44 ! [X: $i] :
% 0.16/0.44 ( ( sup @ ( singleton @ X ) )
% 0.16/0.44 = X ) ).
% 0.16/0.44
% 0.16/0.44 thf(supset_type,type,
% 0.16/0.44 supset: ( ( $i > $o ) > $o ) > $i > $o ).
% 0.16/0.44
% 0.16/0.44 thf(supset,definition,
% 0.16/0.44 ( supset
% 0.16/0.44 = ( ^ [F: ( $i > $o ) > $o,X: $i] :
% 0.16/0.44 ? [Y: $i > $o] :
% 0.16/0.44 ( ( F @ Y )
% 0.16/0.44 & ( ( sup @ Y )
% 0.16/0.44 = X ) ) ) ) ).
% 0.16/0.44
% 0.16/0.44 thf(unionset_type,type,
% 0.16/0.44 unionset: ( ( $i > $o ) > $o ) > $i > $o ).
% 0.16/0.44
% 0.16/0.44 thf(unionset,definition,
% 0.16/0.44 ( unionset
% 0.16/0.44 = ( ^ [F: ( $i > $o ) > $o,X: $i] :
% 0.16/0.44 ? [Y: $i > $o] :
% 0.16/0.44 ( ( F @ Y )
% 0.16/0.44 & ( Y @ X ) ) ) ) ).
% 0.16/0.44
% 0.16/0.44 thf(sup_set,axiom,
% 0.16/0.44 ! [X: ( $i > $o ) > $o] :
% 0.16/0.44 ( ( sup @ ( supset @ X ) )
% 0.16/0.44 = ( sup @ ( unionset @ X ) ) ) ).
% 0.16/0.44
% 0.16/0.44 %----Definition of binary sums and lattice order
% 0.16/0.44 thf(addition_type,type,
% 0.16/0.44 addition: $i > $i > $i ).
% 0.16/0.44
% 0.16/0.44 thf(addition_def,definition,
% 0.16/0.44 ( addition
% 0.16/0.44 = ( ^ [X: $i,Y: $i] : ( sup @ ( union @ ( singleton @ X ) @ ( singleton @ Y ) ) ) ) ) ).
% 0.16/0.44
% 0.16/0.44 thf(order_type,type,
% 0.16/0.44 leq: $i > $i > $o ).
% 0.16/0.44
% 0.16/0.44 thf(order_def,axiom,
% 0.16/0.44 ! [X1: $i,X2: $i] :
% 0.16/0.44 ( ( leq @ X1 @ X2 )
% 0.16/0.44 <=> ( ( addition @ X1 @ X2 )
% 0.16/0.44 = X2 ) ) ).
% 0.16/0.44
% 0.16/0.44 %----Definition of multiplication
% 0.16/0.44 thf(multiplication_type,type,
% 0.16/0.44 multiplication: $i > $i > $i ).
% 0.16/0.44
% 0.16/0.44 thf(crossmult_type,type,
% 0.16/0.44 crossmult: ( $i > $o ) > ( $i > $o ) > $i > $o ).
% 0.16/0.44
% 0.16/0.44 thf(crossmult_def,definition,
% 0.16/0.44 ( crossmult
% 0.16/0.44 = ( ^ [X: $i > $o,Y: $i > $o,A: $i] :
% 0.16/0.44 ? [X1: $i,Y1: $i] :
% 0.16/0.44 ( ( X @ X1 )
% 0.16/0.44 & ( Y @ Y1 )
% 0.16/0.44 & ( A
% 0.16/0.44 = ( multiplication @ X1 @ Y1 ) ) ) ) ) ).
% 0.16/0.44
% 0.16/0.44 thf(multiplication_def,axiom,
% 0.16/0.44 ! [X: $i > $o,Y: $i > $o] :
% 0.16/0.44 ( ( multiplication @ ( sup @ X ) @ ( sup @ Y ) )
% 0.16/0.44 = ( sup @ ( crossmult @ X @ Y ) ) ) ).
% 0.16/0.44
% 0.16/0.44 thf(one_type,type,
% 0.16/0.44 one: $i ).
% 0.16/0.44
% 0.16/0.44 thf(multiplication_neutral_right,axiom,
% 0.16/0.44 ! [X: $i] :
% 0.16/0.44 ( ( multiplication @ X @ one )
% 0.16/0.44 = X ) ).
% 0.16/0.44
% 0.16/0.44 thf(multiplication_neutral_left,axiom,
% 0.16/0.44 ! [X: $i] :
% 0.16/0.44 ( ( multiplication @ one @ X )
% 0.16/0.44 = X ) ).
% 0.16/0.44
% 0.16/0.44 %------------------------------------------------------------------------/export/starexec/sandbox2/solver/bin/do_THM_THF: line 35: 5694 Alarm clock ( read result; case "$result" in
% 299.90/300.20 unsat)
% 299.90/300.20 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 299.90/300.20 ;;
% 299.90/300.20 sat)
% 299.90/300.20 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 299.90/300.20 ;;
% 299.90/300.20 esac; exit 1 )
% 299.90/300.21 Alarm clock
% 299.90/300.21 % cvc5---1.0.5 exiting
% 299.90/300.21 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------