TSTP Solution File: SEV209^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV209^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n026.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 19:21:52 EDT 2023
% Result : Timeout 299.82s 300.13s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV209^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n026.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 : Thu Aug 24 02:29:46 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.49 %----Proving TH0
% 0.21/0.50 %------------------------------------------------------------------------------
% 0.21/0.50 % File : SEV209^5 : TPTP v8.1.2. Released v4.0.0.
% 0.21/0.50 % Domain : Set Theory (Sets of sets)
% 0.21/0.50 % Problem : TPS problem from S-THMS
% 0.21/0.50 % Version : Especial.
% 0.21/0.50 % English :
% 0.21/0.50
% 0.21/0.50 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.21/0.50 % Source : [Bro09]
% 0.21/0.50 % Names : tps_1218 [Bro09]
% 0.21/0.50
% 0.21/0.50 % Status : Unknown
% 0.21/0.50 % Rating : 1.00 v4.0.0
% 0.21/0.50 % Syntax : Number of formulae : 4 ( 1 unt; 3 typ; 0 def)
% 0.21/0.50 % Number of atoms : 32 ( 29 equ; 0 cnn)
% 0.21/0.50 % Maximal formula atoms : 1 ( 32 avg)
% 0.21/0.50 % Number of connectives : 101 ( 0 ~; 8 |; 27 &; 60 @)
% 0.21/0.50 % ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% 0.21/0.50 % Maximal formula depth : 1 ( 1 avg)
% 0.21/0.50 % Number of types : 2 ( 1 usr)
% 0.21/0.50 % Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% 0.21/0.50 % Number of symbols : 4 ( 2 usr; 2 con; 0-2 aty)
% 0.21/0.50 % Number of variables : 42 ( 6 ^; 12 !; 24 ?; 42 :)
% 0.21/0.50 % SPC : TH0_UNK_EQU_NAR
% 0.21/0.50
% 0.21/0.50 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.21/0.50 % project in the Department of Mathematical Sciences at Carnegie
% 0.21/0.50 % Mellon University. Distributed under the Creative Commons copyleft
% 0.21/0.50 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.21/0.50 %------------------------------------------------------------------------------
% 0.21/0.50 thf(a_type,type,
% 0.21/0.50 a: $tType ).
% 0.21/0.50
% 0.21/0.50 thf(cP,type,
% 0.21/0.50 cP: a > a > a ).
% 0.21/0.50
% 0.21/0.50 thf(c0,type,
% 0.21/0.50 c0: a ).
% 0.21/0.50
% 0.21/0.50 thf(cS_JOIN_FPPROP_pme,conjecture,
% 0.21/0.50 ( ( ^ [Xa: a,Xb: a,Xc: a] :
% 0.21/0.50 ! [R: a > a > a > $o] :
% 0.21/0.50 ( ( $true
% 0.21/0.50 & ! [Xa0: a,Xb0: a,Xc0: a] :
% 0.21/0.50 ( ( ( ( Xa0 = c0 )
% 0.21/0.50 & ( Xb0 = Xc0 ) )
% 0.21/0.50 | ( ( Xb0 = c0 )
% 0.21/0.50 & ( Xa0 = Xc0 ) )
% 0.21/0.50 | ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
% 0.21/0.50 ( ( Xa0
% 0.21/0.50 = ( cP @ Xx1 @ Xx2 ) )
% 0.21/0.50 & ( Xb0
% 0.21/0.50 = ( cP @ Xy1 @ Xy2 ) )
% 0.21/0.50 & ( Xc0
% 0.21/0.50 = ( cP @ Xz1 @ Xz2 ) )
% 0.21/0.50 & ( R @ Xx1 @ Xy1 @ Xz1 )
% 0.21/0.50 & ( R @ Xx2 @ Xy2 @ Xz2 ) ) )
% 0.21/0.50 => ( R @ Xa0 @ Xb0 @ Xc0 ) ) )
% 0.21/0.50 => ( R @ Xa @ Xb @ Xc ) ) )
% 0.21/0.50 = ( ^ [Xx: a,Xy: a,Xz: a] :
% 0.21/0.50 ( ( ( Xx = c0 )
% 0.21/0.50 & ( Xy = Xz ) )
% 0.21/0.50 | ( ( Xy = c0 )
% 0.21/0.50 & ( Xx = Xz ) )
% 0.21/0.50 | ? [Xx1: a,Xx2: a,Xy1: a,Xy2: a,Xz1: a,Xz2: a] :
% 0.21/0.50 ( ( Xx
% 0.21/0.50 = ( cP @ Xx1 @ Xx2 ) )
% 0.21/0.50 & ( Xy
% 0.21/0.50 = ( cP @ Xy1 @ Xy2 ) )
% 0.21/0.50 & ( Xz
% 0.21/0.50 = ( cP @ Xz1 @ Xz2 ) )
% 0.21/0.50 & ! [R: a > a > a > $o] :
% 0.21/0.50 ( ( $true
% 0.21/0.50 & ! [Xa: a,Xb: a,Xc: a] :
% 0.21/0.50 ( ( ( ( Xa = c0 )
% 0.21/0.50 & ( Xb = Xc ) )
% 0.21/0.50 | ( ( Xb = c0 )
% 0.21/0.50 & ( Xa = Xc ) )
% 0.21/0.50 | ? [Xx10: a,Xx20: a,Xy10: a,Xy20: a,Xz10: a,Xz20: a] :
% 0.21/0.50 ( ( Xa
% 0.21/0.50 = ( cP @ Xx10 @ Xx20 ) )
% 0.21/0.50 & ( Xb
% 0.21/0.50 = ( cP @ Xy10 @ Xy20 ) )
% 0.21/0.50 & ( Xc
% 0.21/0.50 = ( cP @ Xz10 @ Xz20 ) )
% 0.21/0.50 & ( R @ Xx10 @ Xy10 @ Xz10 )
% 0.21/0.50 & ( R @ Xx20 @ Xy20 @ Xz20 ) ) )
% 0.21/0.50 => ( R @ Xa @ Xb @ Xc ) ) )
% 0.21/0.50 => ( R @ Xx1 @ Xy1 @ Xz1 ) )
% 0.21/0.50 & ! [R: a > a > a > $o] :
% 0.21/0.50 ( ( $true
% 0.21/0.50 & ! [Xa: a,Xb: a,Xc: a] :
% 0.21/0.50 ( ( ( ( Xa = c0 )
% 0.21/0.50 & ( Xb = Xc ) )
% 0.21/0.50 | ( ( Xb = c0 )
% 0.21/0.50 & ( Xa = Xc ) )
% 0.21/0.50 | ? [Xx10: a,Xx20: a,Xy10: a,Xy20: a,Xz10: a,Xz20: a] :
% 0.21/0.50 ( ( Xa
% 0.21/0.50 = ( cP @ Xx10 @ Xx20 ) )/export/starexec/sandbox/solver/bin/do_THM_THF: line 35: 16759 Alarm clock ( read result; case "$result" in
% 299.82/300.13 unsat)
% 299.82/300.13 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 299.82/300.13 ;;
% 299.82/300.13 sat)
% 299.82/300.13 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 299.82/300.13 ;;
% 299.82/300.13 esac; exit 1 )
% 299.82/300.14
% 299.82/300.14 & ( Xb
% 299.82/300.14 = ( cP @ Xy10 @ Xy20 ) )
% 299.82/300.14 & ( Xc
% 299.82/300.14 = ( cP @ Xz10 @ Xz20 ) )
% 299.82/300.14 & ( R @ Xx10 @ Xy10 @ Xz10 )
% 299.82/300.14 & ( R @ Xx20 @ Xy20 @ Xz20 ) ) )
% 299.82/300.14 => ( R @ Xa @ Xb @ Xc ) ) )
% 299.82/300.14 => ( R @ Xx2 @ Xy2 @ Xz2 ) ) ) ) ) ) ).
% 299.82/300.14
% 299.82/300.14 %------------------------------------------------------------------------------
% 299.82/300.14 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.bbkATrwhOs/cvc5---1.0.5_15582.p...
% 299.82/300.14 (declare-sort $$unsorted 0)
% 299.82/300.14 (declare-sort tptp.a 0)
% 299.82/300.14 (declare-fun tptp.cP (tptp.a tptp.a) tptp.a)
% 299.82/300.14 (declare-fun tptp.c0 () tptp.a)
% 299.82/300.14 (assert (not (= (lambda ((Xa tptp.a) (Xb tptp.a) (Xc tptp.a)) (forall ((R (-> tptp.a tptp.a tptp.a Bool))) (=> (and true (forall ((Xa0 tptp.a) (Xb0 tptp.a) (Xc0 tptp.a)) (=> (or (and (= Xa0 tptp.c0) (= Xb0 Xc0)) (and (= Xb0 tptp.c0) (= Xa0 Xc0)) (exists ((Xx1 tptp.a) (Xx2 tptp.a) (Xy1 tptp.a) (Xy2 tptp.a) (Xz1 tptp.a) (Xz2 tptp.a)) (and (= Xa0 (@ (@ tptp.cP Xx1) Xx2)) (= Xb0 (@ (@ tptp.cP Xy1) Xy2)) (= Xc0 (@ (@ tptp.cP Xz1) Xz2)) (@ (@ (@ R Xx1) Xy1) Xz1) (@ (@ (@ R Xx2) Xy2) Xz2)))) (@ (@ (@ R Xa0) Xb0) Xc0)))) (@ (@ (@ R Xa) Xb) Xc)))) (lambda ((Xx tptp.a) (Xy tptp.a) (Xz tptp.a)) (or (and (= Xx tptp.c0) (= Xy Xz)) (and (= Xy tptp.c0) (= Xx Xz)) (exists ((Xx1 tptp.a) (Xx2 tptp.a) (Xy1 tptp.a) (Xy2 tptp.a) (Xz1 tptp.a) (Xz2 tptp.a)) (and (= Xx (@ (@ tptp.cP Xx1) Xx2)) (= Xy (@ (@ tptp.cP Xy1) Xy2)) (= Xz (@ (@ tptp.cP Xz1) Xz2)) (forall ((R (-> tptp.a tptp.a tptp.a Bool))) (=> (and true (forall ((Xa tptp.a) (Xb tptp.a) (Xc tptp.a)) (=> (or (and (= Xa tptp.c0) (= Xb Xc)) (and (= Xb tptp.c0) (= Xa Xc)) (exists ((Xx10 tptp.a) (Xx20 tptp.a) (Xy10 tptp.a) (Xy20 tptp.a) (Xz10 tptp.a) (Xz20 tptp.a)) (and (= Xa (@ (@ tptp.cP Xx10) Xx20)) (= Xb (@ (@ tptp.cP Xy10) Xy20)) (= Xc (@ (@ tptp.cP Xz10) Xz20)) (@ (@ (@ R Xx10) Xy10) Xz10) (@ (@ (@ R Xx20) Xy20) Xz20)))) (@ (@ (@ R Xa) Xb) Xc)))) (@ (@ (@ R Xx1) Xy1) Xz1))) (forall ((R (-> tptp.a tptp.a tptp.a Bool))) (=> (and true (forall ((Xa tptp.a) (Xb tptp.a) (Xc tptp.a)) (=> (or (and (= Xa tptp.c0) (= Xb Xc)) (and (= Xb tptp.c0) (= Xa Xc)) (exists ((Xx10 tptp.a) (Xx20 tptp.a) (Xy10 tptp.a) (Xy20 tptp.a) (Xz10 tptp.a) (Xz20 tptp.a)) (and (= Xa (@ (@ tptp.cP Xx10) Xx20)) (= Xb (@ (@ tptp.cP Xy10) Xy20)) (= Xc (@ (@ tptp.cP Xz10) Xz20)) (@ (@ (@ R Xx10) Xy10) Xz10) (@ (@ (@ R Xx20) Xy20) Xz20)))) (@ (@ (@ R Xa) Xb) Xc)))) (@ (@ (@ R Xx2) Xy2) Xz2))))))))))
% 299.82/300.14 (set-info :filename cvc5---1.0.5_15582)
% 299.82/300.14 (check-sat-assuming ( true ))
% 299.82/300.14 ------- get file name : TPTP file name is SEV209^5
% 299.82/300.14 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_15582.smt2...
% 299.82/300.14 --- Run --ho-elim --full-saturate-quant at 10...
% 299.82/300.14 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 299.82/300.14 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 299.82/300.14 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 299.82/300.14 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 299.82/300.14 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 10...
% 299.82/300.14 --- Run --no-ho-matching --full-saturate-quant --macros-quant-mode=all at 10...
% 299.82/300.14 --- Run --ho-elim --full-saturate-quant --enum-inst-interleave at 10...
% 299.82/300.14 --- Run --no-ho-matching --full-saturate-quant --ho-elim-store-ax at 10...
% 299.82/300.14 --- Run --ho-elim --no-ho-elim-store-ax --full-saturate-quant...
% 299.82/300.14 % cvc5---1.0.5 exiting
% 299.82/300.14 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------