TSTP Solution File: SEV315^5 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV315^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.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 19:22:11 EDT 2023
% Result : Timeout 299.99s 300.18s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV315^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 02:27:57 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.48 %----Proving TH0
% 0.21/0.50 %------------------------------------------------------------------------------
% 0.21/0.50 % File : SEV315^5 : TPTP v8.1.2. Released v4.0.0.
% 0.21/0.50 % Domain : Set Theory
% 0.21/0.50 % Problem : TPS problem from CLOS-SYS-FP-THMS
% 0.21/0.50 % Version : Especial.
% 0.21/0.50 % English : Related to the Knaster-Tarski theorem.
% 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_1121 [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 : 6 ( 0 unt; 5 typ; 0 def)
% 0.21/0.50 % Number of atoms : 15 ( 2 equ; 0 cnn)
% 0.21/0.50 % Maximal formula atoms : 13 ( 15 avg)
% 0.21/0.50 % Number of connectives : 53 ( 0 ~; 0 |; 7 &; 36 @)
% 0.21/0.50 % ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% 0.21/0.50 % Maximal formula depth : 16 ( 16 avg)
% 0.21/0.50 % Number of types : 4 ( 3 usr)
% 0.21/0.50 % Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% 0.21/0.50 % Number of symbols : 3 ( 2 usr; 0 con; 1-4 aty)
% 0.21/0.50 % Number of variables : 20 ( 3 ^; 16 !; 1 ?; 20 :)
% 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(b_type,type,
% 0.21/0.50 b: $tType ).
% 0.21/0.50
% 0.21/0.50 thf(c_type,type,
% 0.21/0.50 c: $tType ).
% 0.21/0.50
% 0.21/0.50 thf(cF,type,
% 0.21/0.50 cF: ( a > b > c > $o ) > a > b > c > $o ).
% 0.21/0.50
% 0.21/0.50 thf(cCL,type,
% 0.21/0.50 cCL: ( a > b > c > $o ) > $o ).
% 0.21/0.50
% 0.21/0.50 thf(cFP_THM3_pme,conjecture,
% 0.21/0.50 ( ( ! [S: ( a > b > c > $o ) > $o] :
% 0.21/0.50 ( ! [Xx: a > b > c > $o] :
% 0.21/0.50 ( ( S @ Xx )
% 0.21/0.50 => ( cCL @ Xx ) )
% 0.21/0.50 => ( cCL
% 0.21/0.50 @ ^ [Xa: a,Xb: b,Xc: c] :
% 0.21/0.50 ! [R: a > b > c > $o] :
% 0.21/0.50 ( ( S @ R )
% 0.21/0.50 => ( R @ Xa @ Xb @ Xc ) ) ) )
% 0.21/0.50 & ! [R: a > b > c > $o] :
% 0.21/0.50 ( ( cCL @ R )
% 0.21/0.50 => ( cCL @ ( cF @ R ) ) )
% 0.21/0.50 & ! [R: a > b > c > $o,S: a > b > c > $o] :
% 0.21/0.50 ( ( ( cCL @ R )
% 0.21/0.50 & ( cCL @ S )
% 0.21/0.50 & ! [Xa: a,Xb: b,Xc: c] :
% 0.21/0.50 ( ( R @ Xa @ Xb @ Xc )
% 0.21/0.50 => ( S @ Xa @ Xb @ Xc ) ) )
% 0.21/0.50 => ! [Xa: a,Xb: b,Xc: c] :
% 0.21/0.50 ( ( cF @ R @ Xa @ Xb @ Xc )
% 0.21/0.50 => ( cF @ S @ Xa @ Xb @ Xc ) ) ) )
% 0.21/0.50 => ? [X: a > b > c > $o] :
% 0.21/0.50 ( ( cCL @ X )
% 0.21/0.50 & ( ( cF @ X )
% 0.21/0.50 = X )
% 0.21/0.50 & ! [Y: a > b > c > $o] :
% 0.21/0.50 ( ( ( cCL @ Y )
% 0.21/0.50 & ( ( cF @ Y )
% 0.21/0.50 = Y ) )
% 0.21/0.50 => ! [Xa: a,Xb: b,Xc: c] :
% 0.21/0.50 ( ( X @ Xa @ Xb @ Xc )
% 0.21/0.50 => ( Y @ Xa @ Xb @ Xc ) ) ) ) ) ).
% 0.21/0.50
% 0.21/0.50 %------------------------------------------------------------------------------
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.EH7CGTX9Ok/cvc5---1.0.5_17390.p...
% 0.21/0.50 (declare-sort $$unsorted 0)
% 0.21/0.50 (declare-sort tptp.a 0)
% 0.21/0.50 (declare-sort tptp.b 0)
% 0.21/0.50 (declare-sort tptp.c 0)
% 0.21/0.50 (declare-fun tptp.cF ((-> tptp.a tptp.b tptp.c Bool) tptp.a tptp.b tptp.c) Bool)
% 0.21/0.50 (declare-fun tptp.cCL ((-> tptp.a tptp.b tptp.c Bool)) Bool)
% 0.21/0.50 (assert (not (=> (and (forall ((S (-> (-> tptp.a tptp.b tptp.c Bool) Bool))) (=> (forall ((Xx (-> tptp.a tptp.b tptp.c Bool))) (=> (@ S Xx) (@ tptp.cCL Xx))) (@ tptp.cCL (lambda ((Xa tptp.a) (Xb tptp.b) (Xc tptp.c)) (forall ((R (-> tptp.a tptp.b tptp.c Bool))) (=> (@ S R) (@ (@ (@ R Xa) Xb) Xc))))))) (forall ((R (-> tptp.a tptp.b tptp.c Bool))) (=> (@ tptp.cCL R) (@ tptp.cCL (@ tptp.cF R)))) (forall ((R (-> tptp.a tptp.b tptp.c Bool)) (S (-> tptp.a tptp.b tptp.c Bool))) (=> (and (@ tptp.cCL R) (@ tptp.cCL S) (forall ((Xa tptp.a) (Xb tptp.b) (Xc tptp.c)) (=> (@ (@ (@ R Xa) Xb) Xc) (@ (@ (@ S Xa) Xb) Xc)))) (forall ((Xa tptp.a) (Xb tptp.b) (Xc tptp.c)) (=> (@ (@ (@ (@ tptp.cF R) Xa) Xb) Xc) (@ (@ (@ (@ tptp.cF S) Xa) Xb) Xc)))))) (exists ((X (-> tptp.a tptp.b tptp.c Bool))) (and (@ tptp.cCL X) (= (@ tptp.cF X) X)/export/starexec/sandbox2/solver/bin/do_THM_THF: line 35: 19035 Alarm clock ( read result; case "$result" in
% 299.99/300.18 unsat)
% 299.99/300.18 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 299.99/300.18 ;;
% 299.99/300.18 sat)
% 299.99/300.18 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 299.99/300.18 ;;
% 299.99/300.18 esac; exit 1 )
% 299.99/300.18 (forall ((Y (-> tptp.a tptp.b tptp.c Bool))) (=> (and (@ tptp.cCL Y) (= (@ tptp.cF Y) Y)) (forall ((Xa tptp.a) (Xb tptp.b) (Xc tptp.c)) (=> (@ (@ (@ X Xa) Xb) Xc) (@ (@ (@ Y Xa) Xb) Xc))))))))))
% 299.99/300.18 (set-info :filename cvc5---1.0.5_17390)
% 299.99/300.18 (check-sat-assuming ( true ))
% 299.99/300.18 ------- get file name : TPTP file name is SEV315^5
% 299.99/300.18 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17390.smt2...
% 299.99/300.18 --- Run --ho-elim --full-saturate-quant at 10...
% 299.99/300.18 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 299.99/300.18 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 299.99/300.18 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 299.99/300.18 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 299.99/300.18 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 10...
% 299.99/300.18 --- Run --no-ho-matching --full-saturate-quant --macros-quant-mode=all at 10...
% 299.99/300.18 --- Run --ho-elim --full-saturate-quant --enum-inst-interleave at 10...
% 299.99/300.18 --- Run --no-ho-matching --full-saturate-quant --ho-elim-store-ax at 10...
% 299.99/300.18 --- Run --ho-elim --no-ho-elim-store-ax --full-saturate-quant...
% 299.99/300.18 % cvc5---1.0.5 exiting
% 299.99/300.19 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------