TSTP Solution File: SEV432^1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV432^1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n003.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 19:22:30 EDT 2023
% Result : Unknown 65.93s 66.15s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEV432^1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 24 03:52:52 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.50 %----Proving TH0
% 65.93/66.15 %------------------------------------------------------------------------------
% 65.93/66.15 % File : SEV432^1 : TPTP v8.1.2. Released v5.2.0.
% 65.93/66.15 % Domain : Set Theory
% 65.93/66.15 % Problem : Surjective functions f:A->B have right inverses
% 65.93/66.15 % Version : Especial.
% 65.93/66.15 % English :
% 65.93/66.15
% 65.93/66.15 % Refs : [Bro11] Brown (2011), Email to Geoff Sutcliffe
% 65.93/66.15 % Source : [Bro11]
% 65.93/66.15 % Names : INVEXISTS5 [Bro11]
% 65.93/66.15
% 65.93/66.15 % Status : Theorem
% 65.93/66.15 % Rating : 0.31 v8.1.0, 0.27 v7.5.0, 0.14 v7.4.0, 0.11 v7.2.0, 0.12 v7.1.0, 0.00 v6.2.0, 0.43 v6.1.0, 0.14 v6.0.0, 0.29 v5.5.0, 0.33 v5.4.0, 0.40 v5.2.0
% 65.93/66.15 % Syntax : Number of formulae : 5 ( 2 unt; 3 typ; 0 def)
% 65.93/66.15 % Number of atoms : 2 ( 2 equ; 0 cnn)
% 65.93/66.15 % Maximal formula atoms : 1 ( 1 avg)
% 65.93/66.15 % Number of connectives : 3 ( 0 ~; 0 |; 0 &; 3 @)
% 65.93/66.15 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 65.93/66.15 % Maximal formula depth : 3 ( 3 avg)
% 65.93/66.15 % Number of types : 2 ( 2 usr)
% 65.93/66.15 % Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% 65.93/66.15 % Number of symbols : 2 ( 1 usr; 0 con; 1-2 aty)
% 65.93/66.15 % Number of variables : 4 ( 0 ^; 2 !; 2 ?; 4 :)
% 65.93/66.15 % SPC : TH0_THM_EQU_NAR
% 65.93/66.15
% 65.93/66.15 % Comments :
% 65.93/66.15 %------------------------------------------------------------------------------
% 65.93/66.15 thf(a,type,
% 65.93/66.15 a: $tType ).
% 65.93/66.15
% 65.93/66.15 thf(b,type,
% 65.93/66.15 b: $tType ).
% 65.93/66.15
% 65.93/66.15 thf(f,type,
% 65.93/66.15 f: a > b ).
% 65.93/66.15
% 65.93/66.15 thf(fsurj,axiom,
% 65.93/66.15 ! [Y: b] :
% 65.93/66.15 ? [X: a] :
% 65.93/66.15 ( ( f @ X )
% 65.93/66.15 = Y ) ).
% 65.93/66.15
% 65.93/66.15 thf(invexists,conjecture,
% 65.93/66.15 ? [G: b > a] :
% 65.93/66.15 ! [X: b] :
% 65.93/66.15 ( ( f @ ( G @ X ) )
% 65.93/66.15 = X ) ).
% 65.93/66.15
% 65.93/66.15 %------------------------------------------------------------------------------
% 65.93/66.15 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.oPOna2xJgG/cvc5---1.0.5_6562.p...
% 65.93/66.15 (declare-sort $$unsorted 0)
% 65.93/66.15 (declare-sort tptp.a 0)
% 65.93/66.15 (declare-sort tptp.b 0)
% 65.93/66.15 (declare-fun tptp.f (tptp.a) tptp.b)
% 65.93/66.15 (assert (forall ((Y tptp.b)) (exists ((X tptp.a)) (= (@ tptp.f X) Y))))
% 65.93/66.15 (assert (not (exists ((G (-> tptp.b tptp.a))) (forall ((X tptp.b)) (= (@ tptp.f (@ G X)) X)))))
% 65.93/66.15 (set-info :filename cvc5---1.0.5_6562)
% 65.93/66.15 (check-sat-assuming ( true ))
% 65.93/66.15 ------- get file name : TPTP file name is SEV432^1
% 65.93/66.15 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_6562.smt2...
% 65.93/66.15 --- Run --ho-elim --full-saturate-quant at 10...
% 65.93/66.15 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 65.93/66.15 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 65.93/66.15 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 65.93/66.15 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 65.93/66.15 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 10...
% 65.93/66.15 --- Run --no-ho-matching --full-saturate-quant --macros-quant-mode=all at 10...
% 65.93/66.15 --- Run --ho-elim --full-saturate-quant --enum-inst-interleave at 10...
% 65.93/66.15 --- Run --no-ho-matching --full-saturate-quant --ho-elim-store-ax at 10...
% 65.93/66.15 --- Run --ho-elim --no-ho-elim-store-ax --full-saturate-quant...
% 65.93/66.15 % cvc5---1.0.5 exiting
% 65.93/66.15 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------