TSTP Solution File: ALG271^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ALG271^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 : Wed Aug 30 16:09:09 EDT 2023
% Result : Timeout 300.00s 300.20s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : ALG271^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n007.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 : Mon Aug 28 03:01:42 EDT 2023
% 0.20/0.36 % CPUTime :
% 0.21/0.50 %----Proving TH0
% 0.21/0.51 %------------------------------------------------------------------------------
% 0.21/0.51 % File : ALG271^5 : TPTP v8.1.2. Bugfixed v5.3.0.
% 0.21/0.51 % Domain : General Algebra
% 0.21/0.51 % Problem : TPS problem EQUIV-01-03
% 0.21/0.51 % Version : Especial.
% 0.21/0.51 % English :
% 0.21/0.51
% 0.21/0.51 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.21/0.51 % Source : [Bro09]
% 0.21/0.51 % Names : tps_0530 [Bro09]
% 0.21/0.51 % : EQUIV-01-03 [TPS]
% 0.21/0.51
% 0.21/0.51 % Status : Theorem
% 0.21/0.51 % Rating : 0.38 v8.1.0, 0.27 v7.5.0, 0.29 v7.4.0, 0.33 v7.3.0, 0.44 v7.2.0, 0.38 v7.1.0, 0.62 v7.0.0, 0.57 v6.4.0, 0.67 v6.3.0, 0.60 v6.2.0, 0.57 v6.1.0, 0.43 v5.5.0, 0.50 v5.4.0, 0.80 v5.3.0
% 0.21/0.51 % Syntax : Number of formulae : 16 ( 7 unt; 8 typ; 7 def)
% 0.21/0.51 % Number of atoms : 29 ( 14 equ; 0 cnn)
% 0.21/0.51 % Maximal formula atoms : 2 ( 3 avg)
% 0.21/0.51 % Number of connectives : 41 ( 0 ~; 0 |; 6 &; 34 @)
% 0.21/0.51 % ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% 0.21/0.51 % Maximal formula depth : 6 ( 2 avg)
% 0.21/0.51 % Number of types : 2 ( 1 usr)
% 0.21/0.51 % Number of type conns : 43 ( 43 >; 0 *; 0 +; 0 <<)
% 0.21/0.51 % Number of symbols : 8 ( 7 usr; 0 con; 1-2 aty)
% 0.21/0.51 % Number of variables : 24 ( 13 ^; 9 !; 2 ?; 24 :)
% 0.21/0.51 % SPC : TH0_THM_EQU_NAR
% 0.21/0.51
% 0.21/0.51 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.21/0.51 % project in the Department of Mathematical Sciences at Carnegie
% 0.21/0.51 % Mellon University. Distributed under the Creative Commons copyleft
% 0.21/0.51 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.21/0.51 % Bugfixes : v5.2.0 - Added missing type declarations.
% 0.21/0.51 % : v5.3.0 - Fixed tType to $tType from last bugfixes.
% 0.21/0.51 %------------------------------------------------------------------------------
% 0.21/0.51 thf(g_type,type,
% 0.21/0.51 g: $tType ).
% 0.21/0.51
% 0.21/0.51 thf(cGROUP1_type,type,
% 0.21/0.51 cGROUP1: ( g > g > g ) > g > $o ).
% 0.21/0.51
% 0.21/0.51 thf(cGROUP3_type,type,
% 0.21/0.51 cGROUP3: ( g > g > g ) > g > $o ).
% 0.21/0.51
% 0.21/0.51 thf(cGRP_ASSOC_type,type,
% 0.21/0.51 cGRP_ASSOC: ( g > g > g ) > $o ).
% 0.21/0.51
% 0.21/0.51 thf(cGRP_INVERSE_type,type,
% 0.21/0.51 cGRP_INVERSE: ( g > g > g ) > g > $o ).
% 0.21/0.51
% 0.21/0.51 thf(cGRP_RIGHT_INVERSE_type,type,
% 0.21/0.51 cGRP_RIGHT_INVERSE: ( g > g > g ) > g > $o ).
% 0.21/0.51
% 0.21/0.51 thf(cGRP_RIGHT_UNIT_type,type,
% 0.21/0.51 cGRP_RIGHT_UNIT: ( g > g > g ) > g > $o ).
% 0.21/0.51
% 0.21/0.51 thf(cGRP_UNIT_type,type,
% 0.21/0.51 cGRP_UNIT: ( g > g > g ) > g > $o ).
% 0.21/0.51
% 0.21/0.51 thf(cGRP_ASSOC_def,definition,
% 0.21/0.51 ( cGRP_ASSOC
% 0.21/0.51 = ( ^ [Xf: g > g > g] :
% 0.21/0.51 ! [Xa: g,Xb: g,Xc: g] :
% 0.21/0.51 ( ( Xf @ ( Xf @ Xa @ Xb ) @ Xc )
% 0.21/0.51 = ( Xf @ Xa @ ( Xf @ Xb @ Xc ) ) ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(cGRP_INVERSE_def,definition,
% 0.21/0.51 ( cGRP_INVERSE
% 0.21/0.51 = ( ^ [Xf: g > g > g,Xe: g] :
% 0.21/0.51 ! [Xa: g] :
% 0.21/0.51 ? [Xb: g] :
% 0.21/0.51 ( ( ( Xf @ Xa @ Xb )
% 0.21/0.51 = Xe )
% 0.21/0.51 & ( ( Xf @ Xb @ Xa )
% 0.21/0.51 = Xe ) ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(cGRP_RIGHT_INVERSE_def,definition,
% 0.21/0.51 ( cGRP_RIGHT_INVERSE
% 0.21/0.51 = ( ^ [Xf: g > g > g,Xe: g] :
% 0.21/0.51 ! [Xa: g] :
% 0.21/0.51 ? [Xb: g] :
% 0.21/0.51 ( ( Xf @ Xa @ Xb )
% 0.21/0.51 = Xe ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(cGRP_RIGHT_UNIT_def,definition,
% 0.21/0.51 ( cGRP_RIGHT_UNIT
% 0.21/0.51 = ( ^ [Xf: g > g > g,Xe: g] :
% 0.21/0.51 ! [Xa: g] :
% 0.21/0.51 ( ( Xf @ Xa @ Xe )
% 0.21/0.51 = Xa ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(cGRP_UNIT_def,definition,
% 0.21/0.51 ( cGRP_UNIT
% 0.21/0.51 = ( ^ [Xf: g > g > g,Xe: g] :
% 0.21/0.51 ! [Xa: g] :
% 0.21/0.51 ( ( ( Xf @ Xe @ Xa )
% 0.21/0.51 = Xa )
% 0.21/0.51 & ( ( Xf @ Xa @ Xe )
% 0.21/0.51 = Xa ) ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(cGROUP1_def,definition,
% 0.21/0.51 ( cGROUP1
% 0.21/0.51 = ( ^ [Xf: g > g > g,Xe: g] :
% 0.21/0.51 ( ( cGRP_ASSOC @ Xf )
% 0.21/0.51 & ( cGRP_UNIT @ Xf @ Xe )
% 0.21/0.51 & ( cGRP_INVERSE @ Xf @ Xe ) ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(cGROUP3_def,definition,
% 0.21/0.51 ( cGROUP3
% 0.21/0.51 = ( ^ [Xf: g > g > g,Xe: g] :
% 0.21/0.51 ( ( cGRP_ASSOC @ Xf )
% 0.21/0.51 & ( cGRP_RIGHT_UNIT @ Xf @ Xe )
% 0.21/0.51 & ( cGRP_RIGHT_INVERSE @ Xf @ Xe ) ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(cEQUIV_01_03,conjecture,
% 0.21/0.51 ! [Xf: g > g > g,Xe: g] :
% 0.21/0.51 ( ( cGROUP1 @ Xf @ Xe )
% 0.21/0.51 <=> ( cGROUP3 @ Xf @ Xe ) ) ).
% 0.21/0.51
% 0.21/0.51 %------------------------------------------------------------------------------
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.EkhEEYBV1t/cvc5---1.0.5_29258.p...
% 0.21/0.51 (declare-sort $$unsorted 0)
% 0.21/0.51 (declare-sort tptp.g 0)/export/starexec/sandbox/solver/bin/do_THM_THF: line 35: 31480 Alarm clock ( read result; case "$result" in
% 300.00/300.20 unsat)
% 300.00/300.20 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 300.00/300.20 ;;
% 300.00/300.20 sat)
% 300.00/300.20 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 300.00/300.20 ;;
% 300.00/300.20 esac; exit 1 )
% 300.00/300.20 Alarm clock
% 300.00/300.20 % cvc5---1.0.5 exiting
% 300.00/300.21 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------