TSTP Solution File: SEV291^5 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV291^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% 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 : Thu Aug 31 19:22:07 EDT 2023
% Result : Timeout 299.76s 300.21s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV291^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n019.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 03:33:28 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TH0
% 0.22/0.51 %------------------------------------------------------------------------------
% 0.22/0.51 % File : SEV291^5 : TPTP v8.1.2. Bugfixed v6.2.0.
% 0.22/0.51 % Domain : Set Theory
% 0.22/0.51 % Problem : TPS problem THM130-B
% 0.22/0.51 % Version : Especial.
% 0.22/0.51 % English :
% 0.22/0.51
% 0.22/0.51 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.22/0.51 % Source : [Bro09]
% 0.22/0.51 % Names : tps_0296 [Bro09]
% 0.22/0.51 % : THM130-B [TPS]
% 0.22/0.51
% 0.22/0.51 % Status : Theorem
% 0.22/0.51 % Rating : 1.00 v8.1.0, 0.82 v7.5.0, 0.86 v7.4.0, 0.56 v7.2.0, 0.50 v7.1.0, 0.62 v7.0.0, 0.57 v6.4.0, 0.67 v6.3.0, 0.60 v6.2.0
% 0.22/0.51 % Syntax : Number of formulae : 8 ( 3 unt; 4 typ; 3 def)
% 0.22/0.51 % Number of atoms : 18 ( 4 equ; 0 cnn)
% 0.22/0.51 % Maximal formula atoms : 9 ( 4 avg)
% 0.22/0.51 % Number of connectives : 31 ( 2 ~; 0 |; 4 &; 20 @)
% 0.22/0.51 % ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% 0.22/0.51 % Maximal formula depth : 9 ( 3 avg)
% 0.22/0.51 % Number of types : 2 ( 0 usr)
% 0.22/0.51 % Number of type conns : 35 ( 35 >; 0 *; 0 +; 0 <<)
% 0.22/0.51 % Number of symbols : 5 ( 4 usr; 0 con; 1-2 aty)
% 0.22/0.51 % Number of variables : 13 ( 5 ^; 5 !; 3 ?; 13 :)
% 0.22/0.51 % SPC : TH0_THM_EQU_NAR
% 0.22/0.51
% 0.22/0.51 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.22/0.51 % project in the Department of Mathematical Sciences at Carnegie
% 0.22/0.51 % Mellon University. Distributed under the Creative Commons copyleft
% 0.22/0.51 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.22/0.51 % Bugfixes : v5.2.0 - Added missing type declarations.
% 0.22/0.51 % : v6.2.0 - Reordered definitions.
% 0.22/0.51 %------------------------------------------------------------------------------
% 0.22/0.51 thf(r_type,type,
% 0.22/0.51 r: ( ( $i > $o ) > $o ) > ( ( $i > $o ) > $o ) > $o ).
% 0.22/0.51
% 0.22/0.51 thf(cNAT_type,type,
% 0.22/0.51 cNAT: ( ( $i > $o ) > $o ) > $o ).
% 0.22/0.51
% 0.22/0.51 thf(cSUCC_type,type,
% 0.22/0.51 cSUCC: ( ( $i > $o ) > $o ) > ( $i > $o ) > $o ).
% 0.22/0.51
% 0.22/0.51 thf(cZERO_type,type,
% 0.22/0.51 cZERO: ( $i > $o ) > $o ).
% 0.22/0.51
% 0.22/0.51 thf(cZERO_def,definition,
% 0.22/0.51 ( cZERO
% 0.22/0.51 = ( ^ [Xp: $i > $o] :
% 0.22/0.51 ~ ? [Xx: $i] : ( Xp @ Xx ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(cSUCC_def,definition,
% 0.22/0.51 ( cSUCC
% 0.22/0.51 = ( ^ [Xn: ( $i > $o ) > $o,Xp: $i > $o] :
% 0.22/0.51 ? [Xx: $i] :
% 0.22/0.51 ( ( Xp @ Xx )
% 0.22/0.51 & ( Xn
% 0.22/0.51 @ ^ [Xt: $i] :
% 0.22/0.51 ( ( Xt != Xx )
% 0.22/0.51 & ( Xp @ Xt ) ) ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(cNAT_def,definition,
% 0.22/0.51 ( cNAT
% 0.22/0.51 = ( ^ [Xn: ( $i > $o ) > $o] :
% 0.22/0.51 ! [Xp: ( ( $i > $o ) > $o ) > $o] :
% 0.22/0.51 ( ( ( Xp @ cZERO )
% 0.22/0.51 & ! [Xx: ( $i > $o ) > $o] :
% 0.22/0.51 ( ( Xp @ Xx )
% 0.22/0.51 => ( Xp @ ( cSUCC @ Xx ) ) ) )
% 0.22/0.51 => ( Xp @ Xn ) ) ) ) ).
% 0.22/0.51
% 0.22/0.51 thf(cTHM130_B,conjecture,
% 0.22/0.51 ( ( ( r @ cZERO @ cZERO )
% 0.22/0.51 & ! [Xx: ( $i > $o ) > $o,Xy: ( $i > $o ) > $o] :
% 0.22/0.51 ( ( r @ Xx @ Xy )
% 0.22/0.51 => ( r @ ( cSUCC @ Xx ) @ ( cSUCC @ Xy ) ) ) )
% 0.22/0.51 => ! [Xx: ( $i > $o ) > $o] :
% 0.22/0.51 ( ( cNAT @ Xx )
% 0.22/0.51 => ? [Xy: ( $i > $o ) > $o] : ( r @ Xx @ Xy ) ) ) ).
% 0.22/0.51
% 0.22/0.51 %------------------------------------------------------------------------------
% 0.22/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.GcwXeJE1Dj/cvc5---1.0.5_6574.p...
% 0.22/0.51 (declare-sort $$unsorted 0)
% 0.22/0.51 (declare-fun tptp.r ((-> (-> $$unsorted Bool) Bool) (-> (-> $$unsorted Bool) Bool)) Bool)
% 0.22/0.51 (declare-fun tptp.cNAT ((-> (-> $$unsorted Bool) Bool)) Bool)
% 0.22/0.51 (declare-fun tptp.cSUCC ((-> (-> $$unsorted Bool) Bool) (-> $$unsorted Bool)) Bool)
% 0.22/0.51 (declare-fun tptp.cZERO ((-> $$unsorted Bool)) Bool)
% 0.22/0.51 (assert (= tptp.cZERO (lambda ((Xp (-> $$unsorted Bool))) (not (exists ((Xx $$unsorted)) (@ Xp Xx))))))
% 0.22/0.51 (assert (= tptp.cSUCC (lambda ((Xn (-> (-> $$unsorted Bool) Bool)) (Xp (-> $$unsorted Bool))) (exists ((Xx $$unsorted)) (and (@ Xp Xx) (@ Xn (lambda ((Xt $$unsorted)) (and (not (= Xt Xx)) (@ Xp Xt)))))))))
% 0.22/0.51 (assert (= tptp.cNAT (lambda ((Xn (-> (-> $$unsorted Bool) Bool))) (forall ((Xp (-> (-> (-> $$unsorted Bool) Bool) Bool))) (=> (and (@ Xp tptp.cZERO) (forall ((Xx (-> (-> $$unsorted Bool) Bool))) (=> (@ Xp Xx) (@ Xp (@ tptp.cSUCC Xx))))) (@ Xp Xn))))))
% 0.22/0.51 (assert (not (=> (and (@ (@ tptp.r tptp.cZERO) tptp.cZERO) (forall ((Xx (-> (-> $$unsorted Bool/export/starexec/sandbox/solver/bin/do_THM_THF: line 35: 6746 Alarm clock ( read result; case "$result" in
% 299.76/300.21 unsat)
% 299.76/300.21 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 299.76/300.21 ;;
% 299.76/300.21 sat)
% 299.76/300.21 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 299.76/300.21 ;;
% 299.76/300.21 esac; exit 1 )
% 299.76/300.21 ) Bool)) (Xy (-> (-> $$unsorted Bool) Bool))) (=> (@ (@ tptp.r Xx) Xy) (@ (@ tptp.r (@ tptp.cSUCC Xx)) (@ tptp.cSUCC Xy))))) (forall ((Xx (-> (-> $$unsorted Bool) Bool))) (=> (@ tptp.cNAT Xx) (exists ((Xy (-> (-> $$unsorted Bool) Bool))) (@ (@ tptp.r Xx) Xy)))))))
% 299.76/300.21 (set-info :filename cvc5---1.0.5_6574)
% 299.76/300.21 (check-sat-assuming ( true ))
% 299.76/300.21 ------- get file name : TPTP file name is SEV291^5
% 299.76/300.21 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_6574.smt2...
% 299.76/300.21 --- Run --ho-elim --full-saturate-quant at 10...
% 299.76/300.21 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 299.76/300.21 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 299.76/300.21 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 299.76/300.21 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 299.76/300.21 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 10...
% 299.76/300.21 --- Run --no-ho-matching --full-saturate-quant --macros-quant-mode=all at 10...
% 299.76/300.21 --- Run --ho-elim --full-saturate-quant --enum-inst-interleave at 10...
% 299.76/300.21 --- Run --no-ho-matching --full-saturate-quant --ho-elim-store-ax at 10...
% 299.76/300.21 --- Run --ho-elim --no-ho-elim-store-ax --full-saturate-quant...
% 299.76/300.21 % cvc5---1.0.5 exiting
% 299.76/300.22 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------