TSTP Solution File: ALG294^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ALG294^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.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 16:09:13 EDT 2023
% Result : Timeout 300.12s 285.45s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG294^5 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 04:04:04 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.18/0.47 %----Proving TH0
% 0.18/0.48 %------------------------------------------------------------------------------
% 0.18/0.48 % File : ALG294^5 : TPTP v8.1.2. Released v4.0.0.
% 0.18/0.48 % Domain : General Algebra (Domain theory)
% 0.18/0.48 % Problem : TPS problem from PU-LAMBDA-MODEL-THMS
% 0.18/0.48 % Version : Especial.
% 0.18/0.48 % English :
% 0.18/0.48
% 0.18/0.48 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.18/0.48 % Source : [Bro09]
% 0.18/0.48 % Names : tps_1238 [Bro09]
% 0.18/0.48
% 0.18/0.48 % Status : Theorem
% 0.18/0.48 % Rating : 0.62 v8.1.0, 0.55 v7.5.0, 0.71 v7.4.0, 0.56 v7.2.0, 0.50 v7.0.0, 0.43 v6.4.0, 0.50 v6.3.0, 0.60 v6.2.0, 0.43 v6.1.0, 0.57 v5.5.0, 0.50 v5.4.0, 0.80 v4.1.0, 1.00 v4.0.0
% 0.18/0.48 % Syntax : Number of formulae : 8 ( 0 unt; 7 typ; 0 def)
% 0.18/0.48 % Number of atoms : 29 ( 21 equ; 0 cnn)
% 0.18/0.48 % Maximal formula atoms : 15 ( 29 avg)
% 0.18/0.48 % Number of connectives : 148 ( 1 ~; 5 |; 29 &; 89 @)
% 0.18/0.48 % ( 3 <=>; 21 =>; 0 <=; 0 <~>)
% 0.18/0.48 % Maximal formula depth : 24 ( 24 avg)
% 0.18/0.48 % Number of types : 2 ( 1 usr)
% 0.18/0.48 % Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% 0.18/0.48 % Number of symbols : 7 ( 6 usr; 1 con; 0-2 aty)
% 0.18/0.48 % Number of variables : 54 ( 8 ^; 29 !; 17 ?; 54 :)
% 0.18/0.48 % SPC : TH0_THM_EQU_NAR
% 0.18/0.48
% 0.18/0.48 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.18/0.48 % project in the Department of Mathematical Sciences at Carnegie
% 0.18/0.48 % Mellon University. Distributed under the Creative Commons copyleft
% 0.18/0.48 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.18/0.48 %------------------------------------------------------------------------------
% 0.18/0.48 thf(a_type,type,
% 0.18/0.48 a: $tType ).
% 0.18/0.48
% 0.18/0.48 thf(cR,type,
% 0.18/0.48 cR: a > a ).
% 0.18/0.48
% 0.18/0.48 thf(cL,type,
% 0.18/0.48 cL: a > a ).
% 0.18/0.48
% 0.18/0.48 thf(cPSI,type,
% 0.18/0.48 cPSI: ( a > $o ) > a > $o ).
% 0.18/0.48
% 0.18/0.48 thf(cP,type,
% 0.18/0.48 cP: a > a > a ).
% 0.18/0.48
% 0.18/0.48 thf(cZ,type,
% 0.18/0.48 cZ: a ).
% 0.18/0.48
% 0.18/0.48 thf(cPHI,type,
% 0.18/0.48 cPHI: ( a > $o ) > a > $o ).
% 0.18/0.48
% 0.18/0.48 thf(cPU_X2310B_pme,conjecture,
% 0.18/0.48 ( ( ( ( cL @ cZ )
% 0.18/0.48 = cZ )
% 0.18/0.48 & ( ( cR @ cZ )
% 0.18/0.48 = cZ )
% 0.18/0.48 & ! [Xx: a,Xy: a] :
% 0.18/0.48 ( ( cL @ ( cP @ Xx @ Xy ) )
% 0.18/0.48 = Xx )
% 0.18/0.48 & ! [Xx: a,Xy: a] :
% 0.18/0.48 ( ( cR @ ( cP @ Xx @ Xy ) )
% 0.18/0.48 = Xy )
% 0.18/0.48 & ! [Xt: a] :
% 0.18/0.48 ( ( Xt != cZ )
% 0.18/0.48 <=> ( Xt
% 0.18/0.48 = ( cP @ ( cL @ Xt ) @ ( cR @ Xt ) ) ) )
% 0.18/0.48 & ! [X: a > $o] :
% 0.18/0.48 ( ? [Xt: a] :
% 0.18/0.48 ( ( X @ Xt )
% 0.18/0.48 & ! [Xu: a] :
% 0.18/0.48 ( ( X @ Xu )
% 0.18/0.48 => ( X @ ( cL @ Xu ) ) ) )
% 0.18/0.48 => ( X @ cZ ) )
% 0.18/0.48 & ! [X: a > $o,Xz: a] :
% 0.18/0.48 ( ( cPHI @ X @ Xz )
% 0.18/0.48 <=> ? [Xx: a] :
% 0.18/0.48 ( ! [Xx_14: a] :
% 0.18/0.48 ( ! [X0: a > $o] :
% 0.18/0.48 ( ( ( X0 @ Xx )
% 0.18/0.48 & ! [Xz0: a] :
% 0.18/0.48 ( ( X0 @ Xz0 )
% 0.18/0.48 => ( X0 @ ( cL @ Xz0 ) ) ) )
% 0.18/0.48 => ? [Xv: a] :
% 0.18/0.48 ( ( X0 @ Xv )
% 0.18/0.48 & ( ( cR @ Xv )
% 0.18/0.48 = Xx_14 ) ) )
% 0.18/0.48 => ( X @ Xx_14 ) )
% 0.18/0.48 & ( cPHI
% 0.18/0.48 @ ^ [Xy: a] :
% 0.18/0.48 ! [X0: a > $o] :
% 0.18/0.48 ( ( ( X0 @ Xx )
% 0.18/0.48 & ! [Xz0: a] :
% 0.18/0.48 ( ( X0 @ Xz0 )
% 0.18/0.48 => ( X0 @ ( cL @ Xz0 ) ) ) )
% 0.18/0.48 => ? [Xv: a] :
% 0.18/0.48 ( ( X0 @ Xv )
% 0.18/0.48 & ( ( cR @ Xv )
% 0.18/0.48 = Xy ) ) )
% 0.18/0.48 @ Xz ) ) )
% 0.18/0.48 & ! [X: a > $o,Xz: a] :
% 0.18/0.48 ( ( cPSI @ X @ Xz )
% 0.18/0.48 <=> ? [Xx: a] :
% 0.18/0.48 ( ! [Xx_15: a] :
% 0.18/0.48 ( ! [X0: a > $o] :
% 0.18/0.48 ( ( ( X0 @ Xx )
% 0.18/0.48 & ! [Xz0: a] :
% 0.18/0.48 ( ( X0 @ Xz0 )
% 0.18/0.48 => ( X0 @ ( cL @ Xz0 ) ) ) )
% 0.18/0.48 => ? [Xv: a] :
% 0.18/0.48 ( ( X0 @ Xv )
% 0.18/0.48 & ( ( cR @ Xv )
% 0.18/0.48 = Xx_15 ) ) )
% 0.18/0.48 => ( X @ Xx_15 ) )
% 0.18/0.48 & ( cPSI
% 0.18/0.48 @ ^ [Xy: a] :
% 0.18/0.48 ! [X0: a > $o] :
% 0.18/0.48 ( ( ( X0 @ Xx )
% 0.18/0.49 & ! [Xz0: a] :
% 0.18/0.49 ( ( X0 @ Xz0 )
% 0.18/0.49 => ( X0 @ ( cL @ Xz0 ) ) ) )
% 0.18/0.49 => ? [Xv: a] :
% 0.18/0.49 ( ( X0 @ Xv )
% 0.18/0.49 & ( ( cR @ Xv )
% 0.18/0.49 = Xy ) ) )
% 0.18/0.49 @ Xz ) ) ) )
% 0.18/0.49 => ( ( ^ [Xu: a] :
% 0.18/0.49 ( ( Xu = cZ )
% 0.18/0.49 | ? [Xx: a,Xy: a] :
% 0.18/0.49 ( ( Xu
% 0.18/0.49 = ( cP @ Xx @ Xy ) )
% 0.18/0.49 & ( ( cPHI
% 0.18/0.49 @ ^ [Xy0: a] :
% 0.18/0.49 ! [X: a > $o] :
% 0.18/0.49 ( ( ( X @ Xx )
% 0.18/0.49 & ! [Xz: a] :
% 0.18/0.49 ( ( X @ Xz )
% 0.18/0.49 => ( X @ ( cL @ Xz ) ) ) )
% 0.18/0.49 => ? [Xv: a] :
% 0.18/0.49 ( ( X @ Xv )
% 0.18/0.49 & ( ( cR @ Xv )
% 0.18/0.49 = Xy0 ) ) )
% 0.18/0.49 @ Xy )
% 0.18/0.49 | ( cPSI
% 0.18/0.49 @ ^ [Xy0: a] :
% 0.18/0.49 ! [X: a > $o] :
% 0.18/0.49 ( ( ( X @ Xx )
% 0.18/0.49 & ! [Xz: a] :
% 0.18/0.49 ( ( X @ Xz )
% 0.18/0.49 => ( X @ ( cL @ Xz ) ) ) )
% 0.18/0.49 => ? [Xv: a] :
% 0.18/0.49 ( ( X @ Xv )
% 0.18/0.49 & ( ( cR @ Xv )
% 0.18/0.49 = Xy0 ) ) )
% 0.18/0.49 @ Xy ) ) ) ) )
% 0.18/0.49 = ( ^ [Xz: a] :
% 0.18/0.49 ( ( Xz = cZ )
% 0.18/0.49 | ? [Xx: a,Xy: a] :
% 0.18/0.49 ( ( Xz
% 0.18/0.49 = ( cP @ Xx @ Xy ) )
% 0.18/0.49 & ( cPHI
% 0.18/0.49 @ ^ [Xy0: a] :
% 0.18/0.49 ! [X: a > $o] :
% 0.18/0.49 ( ( ( X @ Xx )
% 0.18/0.49 & ! [Xz0: a] :
% 0.18/0.49 ( ( X @ Xz0 )
% 0.18/0.49 => ( X @ ( cL @ Xz0 ) ) ) )
% 0.18/0.49 => ? [Xv: a] :
% 0.18/0.49 ( ( X @ Xv )
% 0.18/0.49 & ( ( cR @ Xv )
% 0.18/0.49 = Xy0 ) ) )
% 0.18/0.49 @ Xy ) )
% 0.18/0.49 | ( Xz = cZ )
% 0.18/0.49 | ? [Xx: a,Xy: a] :
% 0.18/0.49 ( ( Xz
% 0.18/0.49 = ( cP @ Xx @ Xy ) )
% 0.18/0.49 & ( cPSI
% 0.18/0.49 @ ^ [Xy0: a] :
% 0.18/0.49 ! [X: a > $o] :
% 0.18/0.49 ( ( ( X @ Xx )
% 0.18/0.49 & ! [Xz0: a] :
% 0.18/0.49 ( ( X @ Xz0 )
% 0.18/0.49 => ( X @ ( cL @ Xz0 ) ) ) )
% 0.18/0.49 => ? [Xv: a] :
% 0.18/0.49 ( ( X @ Xv )
% 0.18/0.49 & ( ( cR @ Xv )
% 0.18/0.49 = Xy0 ) ) )
% 0.18/0.49 @ Xy ) ) ) ) ) ) ).
% 0.18/0.49
% 0.18/0.49 %------------------------------------------------------------------------------
% 0.18/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.udWkltxcpK/cvc5---1.0.5_32064.p...
% 0.18/0.49 (declare-sort $$unsorted 0)
% 0.18/0.49 (declare-sort tptp.a 0)
% 0.18/0.49 (declare-fun tptp.cR (tptp.a) tptp.a)
% 0.18/0.49 (declare-fun tptp.cL (tptp.a) tptp.a)
% 0.18/0.49 (declare-fun tptp.cPSI ((-> tptp.a Bool) tptp.a) Bool)
% 0.18/0.49 (declare-fun tptp.cP (tptp.a tptp.a) tptp.a)
% 0.18/0.49 (declare-fun tptp.cZ () tptp.a)
% 0.18/0.49 (declare-fun tptp.cPHI ((-> tptp.a Bool) tptp.a) Bool)
% 0.18/0.49 (assert (not (=> (and (= (@ tptp.cL tptp.cZ) tptp.cZ) (= (@ tptp.cR tptp.cZ) tptp.cZ) (forall ((Xx tptp.a) (Xy tptp.a)) (= (@ tptp.cL (@ (@ tptp.cP Xx) Xy)) Xx)) (forall ((Xx tptp.a) (Xy tptp.a)) (= (@ tptp.cR (@ (@ tptp.cP Xx) Xy)) Xy)) (forall ((Xt tptp.a)) (= (not (= Xt tptp.cZ)) (= Xt (@ (@ tptp.cP (@ tptp.cL Xt)) (@ tptp.cR Xt))))) (forall ((X (-> tptp.a Bool))) (=> (exists ((Xt tptp.a)) (and (@ X Xt) (forall ((Xu tptp.a)) (=> (@ X Xu) (@ X (@ tptp.cL Xu)))))) (@ X tptp.cZ))) (forall ((X (-> tptp.a Bool)) (Xz tptp.a)) (= (@ (@ tptp.cPHI X) Xz) (exists ((Xx tptp.a)) (and (forall ((Xx_14 tptp.a)) (=> (forall ((X0 (-> tptp.a Bool))) (=> (and (@ X0 Xx) (forall ((Xz0 tptp.a)) (=> (@ X0 Xz0) (@ X0 (@ tptp.cL Xz0))))) (exists ((Xv tptp.a)) (and (@ X0 Xv) (= (@ tptp.cR Xv) Xx_14))))) (@ X Xx_14))) (@ (@ tptp.cPHI (lambda ((Xy tptp.a)) (forall ((X0 (-> tptp.a Bool))) (=> (and (@ X0 Xx) (forall ((Xz0 tptp.a)) (=> (@ X0 Xz0) (@ X0 (@ tptp.cL Xz0))))) (exists ((Xv tptp.a)) (and (@ X0 Xv) (= (@ tcvc5 interrupted by timeout.
% 300.12/285.45 /export/starexec/sandbox2/solver/bin/do_THM_THF: line 35: 1703 CPU time limit exceeded (core dumped) ( read result; case "$result" in
% 300.12/285.45 unsat)
% 300.12/285.45 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 300.12/285.45 ;;
% 300.12/285.45 sat)
% 300.12/285.45 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 300.12/285.45 ;;
% 300.12/285.45 esac; exit 1 )
% 300.12/285.45 Cputime limit exceeded (core dumped) (core dumped)
% 300.12/285.45 % cvc5---1.0.5 exiting
% 300.12/285.46 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------