TSTP Solution File: SEV296^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV296^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 19:22:08 EDT 2023
% Result : Timeout 299.99s 300.19s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEV296^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.37 % Computer : n028.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 24 02:58:19 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.51 %----Proving TH0
% 0.22/0.52 %------------------------------------------------------------------------------
% 0.22/0.52 % File : SEV296^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% 0.22/0.52 % Domain : Set Theory
% 0.22/0.52 % Problem : TPS problem from TTTP-NATS-THMS
% 0.22/0.52 % Version : Especial.
% 0.22/0.52 % English :
% 0.22/0.52
% 0.22/0.52 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.22/0.52 % Source : [Bro09]
% 0.22/0.52 % Names : tps_0652 [Bro09]
% 0.22/0.52
% 0.22/0.52 % Status : CounterCounterSatisfiable
% 0.22/0.52 % Rating : 1.00 v8.1.0, 0.80 v7.4.0, 0.75 v7.2.0, 0.67 v6.2.0
% 0.22/0.52 % Syntax : Number of formulae : 15 ( 6 unt; 8 typ; 6 def)
% 0.22/0.52 % Number of atoms : 43 ( 12 equ; 0 cnn)
% 0.22/0.52 % Maximal formula atoms : 3 ( 6 avg)
% 0.22/0.52 % Number of connectives : 35 ( 2 ~; 0 |; 5 &; 27 @)
% 0.22/0.52 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.22/0.52 % Maximal formula depth : 3 ( 1 avg)
% 0.22/0.52 % Number of types : 2 ( 0 usr)
% 0.22/0.52 % Number of type conns : 43 ( 43 >; 0 *; 0 +; 0 <<)
% 0.22/0.52 % Number of symbols : 9 ( 8 usr; 2 con; 0-3 aty)
% 0.22/0.52 % Number of variables : 12 ( 4 ^; 6 !; 2 ?; 12 :)
% 0.22/0.52 % SPC : TH0_CSA_EQU_NAR
% 0.22/0.52
% 0.22/0.52 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.22/0.52 % project in the Department of Mathematical Sciences at Carnegie
% 0.22/0.52 % Mellon University. Distributed under the Creative Commons copyleft
% 0.22/0.52 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.22/0.52 % Bugfixes : v5.2.0 - Added missing type declarations.
% 0.22/0.52 % : v6.2.0 - Reordered definitions.
% 0.22/0.52 %------------------------------------------------------------------------------
% 0.22/0.52 thf(c_plus_type,type,
% 0.22/0.52 c_plus: ( ( $i > $o ) > $o ) > ( ( $i > $o ) > $o ) > ( $i > $o ) > $o ).
% 0.22/0.52
% 0.22/0.52 thf(c_star_type,type,
% 0.22/0.52 c_star: ( ( $i > $o ) > $o ) > ( ( $i > $o ) > $o ) > ( $i > $o ) > $o ).
% 0.22/0.52
% 0.22/0.52 thf(cONE_type,type,
% 0.22/0.52 cONE: ( $i > $o ) > $o ).
% 0.22/0.52
% 0.22/0.52 thf(cPLUS_AXIOMS_type,type,
% 0.22/0.52 cPLUS_AXIOMS: $o ).
% 0.22/0.52
% 0.22/0.52 thf(cSUCC_type,type,
% 0.22/0.52 cSUCC: ( ( $i > $o ) > $o ) > ( $i > $o ) > $o ).
% 0.22/0.52
% 0.22/0.52 thf(cTIMES_AXIOMS_type,type,
% 0.22/0.52 cTIMES_AXIOMS: $o ).
% 0.22/0.52
% 0.22/0.52 thf(cTWO_type,type,
% 0.22/0.52 cTWO: ( $i > $o ) > $o ).
% 0.22/0.52
% 0.22/0.52 thf(cZERO_type,type,
% 0.22/0.52 cZERO: ( $i > $o ) > $o ).
% 0.22/0.52
% 0.22/0.52 thf(cZERO_def,definition,
% 0.22/0.52 ( cZERO
% 0.22/0.52 = ( ^ [Xp: $i > $o] :
% 0.22/0.52 ~ ? [Xx: $i] : ( Xp @ Xx ) ) ) ).
% 0.22/0.52
% 0.22/0.52 thf(cSUCC_def,definition,
% 0.22/0.52 ( cSUCC
% 0.22/0.52 = ( ^ [Xn: ( $i > $o ) > $o,Xp: $i > $o] :
% 0.22/0.52 ? [Xx: $i] :
% 0.22/0.52 ( ( Xp @ Xx )
% 0.22/0.52 & ( Xn
% 0.22/0.52 @ ^ [Xt: $i] :
% 0.22/0.52 ( ( Xt != Xx )
% 0.22/0.52 & ( Xp @ Xt ) ) ) ) ) ) ).
% 0.22/0.52
% 0.22/0.52 thf(cONE_def,definition,
% 0.22/0.52 ( cONE
% 0.22/0.52 = ( cSUCC @ cZERO ) ) ).
% 0.22/0.52
% 0.22/0.52 thf(cTWO_def,definition,
% 0.22/0.52 ( cTWO
% 0.22/0.52 = ( cSUCC @ cONE ) ) ).
% 0.22/0.52
% 0.22/0.52 thf(cPLUS_AXIOMS_def,definition,
% 0.22/0.52 ( cPLUS_AXIOMS
% 0.22/0.52 = ( ! [X: ( $i > $o ) > $o] :
% 0.22/0.52 ( ( c_plus @ X @ cZERO )
% 0.22/0.52 = X )
% 0.22/0.52 & ! [X: ( $i > $o ) > $o,Y: ( $i > $o ) > $o] :
% 0.22/0.52 ( ( c_plus @ X @ ( cSUCC @ Y ) )
% 0.22/0.52 = ( cSUCC @ ( c_plus @ X @ Y ) ) ) ) ) ).
% 0.22/0.52
% 0.22/0.52 thf(cTIMES_AXIOMS_def,definition,
% 0.22/0.52 ( cTIMES_AXIOMS
% 0.22/0.52 = ( ! [X: ( $i > $o ) > $o] :
% 0.22/0.52 ( ( c_star @ X @ cZERO )
% 0.22/0.52 = cZERO )
% 0.22/0.52 & ! [X: ( $i > $o ) > $o,Y: ( $i > $o ) > $o] :
% 0.22/0.52 ( ( c_star @ X @ ( cSUCC @ Y ) )
% 0.22/0.52 = ( c_plus @ ( c_star @ X @ Y ) @ Y ) ) ) ) ).
% 0.22/0.52
% 0.22/0.52 thf(cFOUR_THEOREM_B,conjecture,
% 0.22/0.52 ( ( cPLUS_AXIOMS
% 0.22/0.52 & cTIMES_AXIOMS )
% 0.22/0.52 => ( ( c_star @ cTWO @ cTWO )
% 0.22/0.52 = ( c_plus @ cTWO @ cTWO ) ) ) ).
% 0.22/0.52
% 0.22/0.52 %------------------------------------------------------------------------------
% 0.22/0.52 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.tgzJZ2BYB6/cvc5---1.0.5_28600.p...
% 0.22/0.52 (declare-sort $$unsorted 0)
% 0.22/0.52 (declare-fun tptp.c_plus ((-> (-> $$unsorted Bool) Bool) (-> (-> $$unsorted Bool) Bool) (-> $$unsorted Bool)) Bool)
% 0.22/0.52 (declare-fun tptp.c_star ((-> (-> $$unsorted Bool) Bool) (-> (-> $$unsorted Bool) Bool) (-> $$unsorted Bool)) Bool)
% 0.22/0.52 (declare-fun tptp.cONE ((-> $$unsorted Bool)) Bool)
% 0.22/0.52 (declare-fun tptp.cPLUS_AXIOMS () Bool)
% 0.22/0.52 (declare-fun tptp.cSUCC ((-> (-> $$unsorted Bool) Bool) (-> $$unsorted Bool)) Bool)
% 0.22/0.52 (declare-fun tptp.cTIMES_AXIOMS () Bool)
% 0.22/0.52 (declare-fun tptp.cTWO ((->/export/starexec/sandbox2/solver/bin/do_THM_THF: line 35: 29109 Alarm clock ( read result; case "$result" in
% 299.99/300.19 unsat)
% 299.99/300.19 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 299.99/300.19 ;;
% 299.99/300.19 sat)
% 299.99/300.19 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 299.99/300.19 ;;
% 299.99/300.19 esac; exit 1 )
% 299.99/300.20 Alarm clock
% 299.99/300.20 % cvc5---1.0.5 exiting
% 299.99/300.20 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------