TSTP Solution File: ALG293^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ALG293^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 16:09:12 EDT 2023
% Result : Timeout 299.84s 300.15s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG293^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n019.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 : Mon Aug 28 05:17:28 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TH0
% 0.21/0.49 %------------------------------------------------------------------------------
% 0.21/0.49 % File : ALG293^5 : TPTP v8.1.2. Released v4.0.0.
% 0.21/0.49 % Domain : General Algebra (Domain theory)
% 0.21/0.49 % Problem : TPS problem from PU-LAMBDA-MODEL-THMS
% 0.21/0.49 % Version : Especial.
% 0.21/0.49 % English :
% 0.21/0.49
% 0.21/0.49 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.21/0.49 % Source : [Bro09]
% 0.21/0.49 % Names : tps_1208 [Bro09]
% 0.21/0.49
% 0.21/0.49 % Status : Unknown
% 0.21/0.49 % Rating : 1.00 v4.0.0
% 0.21/0.49 % Syntax : Number of formulae : 6 ( 0 unt; 5 typ; 0 def)
% 0.21/0.49 % Number of atoms : 11 ( 11 equ; 0 cnn)
% 0.21/0.49 % Maximal formula atoms : 11 ( 11 avg)
% 0.21/0.49 % Number of connectives : 100 ( 1 ~; 0 |; 19 &; 62 @)
% 0.21/0.49 % ( 2 <=>; 16 =>; 0 <=; 0 <~>)
% 0.21/0.49 % Maximal formula depth : 19 ( 19 avg)
% 0.21/0.49 % Number of types : 2 ( 1 usr)
% 0.21/0.49 % Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% 0.21/0.49 % Number of symbols : 5 ( 4 usr; 1 con; 0-2 aty)
% 0.21/0.49 % Number of variables : 35 ( 0 ^; 22 !; 13 ?; 35 :)
% 0.21/0.49 % SPC : TH0_UNK_EQU_NAR
% 0.21/0.49
% 0.21/0.49 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.21/0.49 % project in the Department of Mathematical Sciences at Carnegie
% 0.21/0.49 % Mellon University. Distributed under the Creative Commons copyleft
% 0.21/0.49 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.21/0.49 %------------------------------------------------------------------------------
% 0.21/0.49 thf(a_type,type,
% 0.21/0.49 a: $tType ).
% 0.21/0.49
% 0.21/0.49 thf(cP,type,
% 0.21/0.49 cP: a > a > a ).
% 0.21/0.49
% 0.21/0.49 thf(cR,type,
% 0.21/0.49 cR: a > a ).
% 0.21/0.49
% 0.21/0.49 thf(cL,type,
% 0.21/0.49 cL: a > a ).
% 0.21/0.49
% 0.21/0.49 thf(cZ,type,
% 0.21/0.49 cZ: a ).
% 0.21/0.49
% 0.21/0.49 thf(cPU_X239_pme,conjecture,
% 0.21/0.49 ( ( ( ( cL @ cZ )
% 0.21/0.49 = cZ )
% 0.21/0.49 & ( ( cR @ cZ )
% 0.21/0.49 = cZ )
% 0.21/0.49 & ! [Xx: a,Xy: a] :
% 0.21/0.49 ( ( cL @ ( cP @ Xx @ Xy ) )
% 0.21/0.49 = Xx )
% 0.21/0.49 & ! [Xx: a,Xy: a] :
% 0.21/0.49 ( ( cR @ ( cP @ Xx @ Xy ) )
% 0.21/0.49 = Xy )
% 0.21/0.49 & ! [Xt: a] :
% 0.21/0.49 ( ( Xt != cZ )
% 0.21/0.49 <=> ( Xt
% 0.21/0.49 = ( cP @ ( cL @ Xt ) @ ( cR @ Xt ) ) ) )
% 0.21/0.49 & ! [X: a > $o] :
% 0.21/0.49 ( ? [Xt: a] :
% 0.21/0.49 ( ( X @ Xt )
% 0.21/0.49 & ! [Xu: a] :
% 0.21/0.49 ( ( X @ Xu )
% 0.21/0.49 => ( X @ ( cL @ Xu ) ) ) )
% 0.21/0.49 => ( X @ cZ ) ) )
% 0.21/0.49 => ! [X: a > $o,Xz: a] :
% 0.21/0.49 ( ? [Xx: a] :
% 0.21/0.49 ( ! [Xx_23: a] :
% 0.21/0.49 ( ! [X0: a > $o] :
% 0.21/0.49 ( ( ( X0 @ Xx )
% 0.21/0.49 & ! [Xz0: a] :
% 0.21/0.49 ( ( X0 @ Xz0 )
% 0.21/0.49 => ( X0 @ ( cL @ Xz0 ) ) ) )
% 0.21/0.49 => ? [Xv: a] :
% 0.21/0.49 ( ( X0 @ Xv )
% 0.21/0.49 & ( ( cR @ Xv )
% 0.21/0.49 = Xx_23 ) ) )
% 0.21/0.49 => ? [Xy: a] : ( X @ ( cP @ Xy @ Xx_23 ) ) )
% 0.21/0.49 & ? [Xz_2: a] : ( X @ ( cP @ ( cP @ Xx @ Xz ) @ Xz_2 ) ) )
% 0.21/0.49 <=> ? [Xx: a] :
% 0.21/0.49 ( ! [Xx_24: a] :
% 0.21/0.49 ( ! [X0: a > $o] :
% 0.21/0.49 ( ( ( X0 @ Xx )
% 0.21/0.49 & ! [Xz0: a] :
% 0.21/0.49 ( ( X0 @ Xz0 )
% 0.21/0.49 => ( X0 @ ( cL @ Xz0 ) ) ) )
% 0.21/0.49 => ? [Xv: a] :
% 0.21/0.49 ( ( X0 @ Xv )
% 0.21/0.49 & ( ( cR @ Xv )
% 0.21/0.49 = Xx_24 ) ) )
% 0.21/0.49 => ( X @ Xx_24 ) )
% 0.21/0.49 & ? [Xx_26: a] :
% 0.21/0.49 ( ! [Xx_25: a] :
% 0.21/0.49 ( ! [X0: a > $o] :
% 0.21/0.49 ( ( ( X0 @ Xx_26 )
% 0.21/0.49 & ! [Xz0: a] :
% 0.21/0.49 ( ( X0 @ Xz0 )
% 0.21/0.49 => ( X0 @ ( cL @ Xz0 ) ) ) )
% 0.21/0.49 => ? [Xv: a] :
% 0.21/0.49 ( ( X0 @ Xv )
% 0.21/0.49 & ( ( cR @ Xv )
% 0.21/0.49 = Xx_25 ) ) )
% 0.21/0.49 => ? [Xy: a] :
% 0.21/0.49 ! [X0: a > $o] :
% 0.21/0.49 ( ( ( X0 @ Xx )
% 0.21/0.49 & ! [Xz0: a] :
% 0.21/0.49 ( ( X0 @ Xz0 )
% 0.21/0.49 => ( X0 @ ( cL @ Xz0 ) ) ) )
% 0.21/0.49 => ? [Xv: a] :
% 0.21/0.49 ( ( X0 @ Xv )
% 0.21/0.49 & ( (/export/starexec/sandbox2/solver/bin/do_THM_THF: line 35: 26278 Alarm clock ( read result; case "$result" in
% 299.84/300.15 unsat)
% 299.84/300.15 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 299.84/300.15 ;;
% 299.84/300.15 sat)
% 299.84/300.15 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 299.84/300.15 ;;
% 299.84/300.15 esac; exit 1 )
% 299.84/300.16 cR @ Xv )
% 299.84/300.16 = ( cP @ Xy @ Xx_25 ) ) ) ) )
% 299.84/300.16 & ? [Xz_3: a] :
% 299.84/300.16 ! [X0: a > $o] :
% 299.84/300.16 ( ( ( X0 @ Xx )
% 299.84/300.16 & ! [Xz0: a] :
% 299.84/300.16 ( ( X0 @ Xz0 )
% 299.84/300.16 => ( X0 @ ( cL @ Xz0 ) ) ) )
% 299.84/300.16 => ? [Xv: a] :
% 299.84/300.16 ( ( X0 @ Xv )
% 299.84/300.16 & ( ( cR @ Xv )
% 299.84/300.16 = ( cP @ ( cP @ Xx_26 @ Xz ) @ Xz_3 ) ) ) ) ) ) ) ) ).
% 299.84/300.16
% 299.84/300.16 %------------------------------------------------------------------------------
% 299.84/300.16 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.yWrJJOlfih/cvc5---1.0.5_26082.p...
% 299.84/300.16 (declare-sort $$unsorted 0)
% 299.84/300.16 (declare-sort tptp.a 0)
% 299.84/300.16 (declare-fun tptp.cP (tptp.a tptp.a) tptp.a)
% 299.84/300.16 (declare-fun tptp.cR (tptp.a) tptp.a)
% 299.84/300.16 (declare-fun tptp.cL (tptp.a) tptp.a)
% 299.84/300.16 (declare-fun tptp.cZ () tptp.a)
% 299.84/300.16 (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)) (= (exists ((Xx tptp.a)) (and (forall ((Xx_23 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_23))))) (exists ((Xy tptp.a)) (@ X (@ (@ tptp.cP Xy) Xx_23))))) (exists ((Xz_2 tptp.a)) (@ X (@ (@ tptp.cP (@ (@ tptp.cP Xx) Xz)) Xz_2))))) (exists ((Xx tptp.a)) (and (forall ((Xx_24 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_24))))) (@ X Xx_24))) (exists ((Xx_26 tptp.a)) (and (forall ((Xx_25 tptp.a)) (=> (forall ((X0 (-> tptp.a Bool))) (=> (and (@ X0 Xx_26) (forall ((Xz0 tptp.a)) (=> (@ X0 Xz0) (@ X0 (@ tptp.cL Xz0))))) (exists ((Xv tptp.a)) (and (@ X0 Xv) (= (@ tptp.cR Xv) Xx_25))))) (exists ((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) (= (@ tptp.cR Xv) (@ (@ tptp.cP Xy) Xx_25))))))))) (exists ((Xz_3 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) (@ (@ tptp.cP (@ (@ tptp.cP Xx_26) Xz)) Xz_3))))))))))))))))
% 299.84/300.16 (set-info :filename cvc5---1.0.5_26082)
% 299.84/300.16 (check-sat-assuming ( true ))
% 299.84/300.16 ------- get file name : TPTP file name is ALG293^5
% 299.84/300.16 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_26082.smt2...
% 299.84/300.16 --- Run --ho-elim --full-saturate-quant at 10...
% 299.84/300.16 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 299.84/300.16 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 299.84/300.16 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 299.84/300.16 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 299.84/300.16 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 10...
% 299.84/300.16 --- Run --no-ho-matching --full-saturate-quant --macros-quant-mode=all at 10...
% 299.84/300.16 --- Run --ho-elim --full-saturate-quant --enum-inst-interleave at 10...
% 299.84/300.16 --- Run --no-ho-matching --full-saturate-quant --ho-elim-store-ax at 10...
% 299.84/300.16 --- Run --ho-elim --no-ho-elim-store-ax --full-saturate-quant...
% 299.84/300.16 % cvc5---1.0.5 exiting
% 299.84/300.16 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------