TSTP Solution File: NUM800^1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM800^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n032.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 10:48:13 EDT 2023
% Result : Timeout 299.87s 300.14s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM800^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.11 % Command : do_cvc5 %s %d
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri Aug 25 11:02:43 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.14/0.39 %----Proving TH0
% 0.14/0.40 %------------------------------------------------------------------------------
% 0.14/0.40 % File : NUM800^1 : TPTP v8.1.2. Released v3.7.0.
% 0.14/0.40 % Domain : Number Theory
% 0.14/0.40 % Problem : Some function of two and three is six, and of one and two is two
% 0.14/0.40 % Version : Especial.
% 0.14/0.40 % English :
% 0.14/0.40
% 0.14/0.40 % Refs : [BB05] Benzmueller & Brown (2005), A Structured Set of Higher
% 0.14/0.40 % : [Ben09] Benzmueller (2009), Email to Geoff Sutcliffe
% 0.14/0.40 % Source : [Ben09]
% 0.14/0.40 % Names : Example 1c [BB05]
% 0.14/0.40
% 0.14/0.40 % Status : Theorem
% 0.14/0.40 % Rating : 0.62 v8.1.0, 0.64 v7.5.0, 0.71 v7.4.0, 0.89 v7.2.0, 0.88 v7.0.0, 0.86 v6.4.0, 1.00 v6.2.0, 0.86 v6.1.0, 0.71 v6.0.0, 0.86 v5.5.0, 0.83 v5.4.0, 0.80 v5.3.0, 1.00 v5.2.0, 0.80 v4.1.0, 0.67 v4.0.0, 1.00 v3.7.0
% 0.14/0.40 % Syntax : Number of formulae : 29 ( 14 unt; 14 typ; 14 def)
% 0.14/0.40 % Number of atoms : 26 ( 16 equ; 0 cnn)
% 0.14/0.40 % Maximal formula atoms : 2 ( 1 avg)
% 0.14/0.40 % Number of connectives : 70 ( 0 ~; 0 |; 1 &; 69 @)
% 0.14/0.40 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.14/0.40 % Maximal formula depth : 3 ( 1 avg)
% 0.14/0.40 % Number of types : 1 ( 0 usr)
% 0.14/0.40 % Number of type conns : 102 ( 102 >; 0 *; 0 +; 0 <<)
% 0.14/0.40 % Number of symbols : 19 ( 18 usr; 4 con; 0-4 aty)
% 0.14/0.40 % Number of variables : 34 ( 33 ^; 0 !; 1 ?; 34 :)
% 0.14/0.40 % SPC : TH0_THM_EQU_NAR
% 0.14/0.40
% 0.14/0.40 % Comments :
% 0.14/0.40 %------------------------------------------------------------------------------
% 0.14/0.40 %----Include Church numerals definitions
% 0.14/0.40 %------------------------------------------------------------------------------
% 0.14/0.40 thf(zero,type,
% 0.14/0.40 zero: ( $i > $i ) > $i > $i ).
% 0.14/0.40
% 0.14/0.40 thf(one,type,
% 0.14/0.40 one: ( $i > $i ) > $i > $i ).
% 0.14/0.40
% 0.14/0.40 thf(two,type,
% 0.14/0.40 two: ( $i > $i ) > $i > $i ).
% 0.14/0.40
% 0.14/0.40 thf(three,type,
% 0.14/0.40 three: ( $i > $i ) > $i > $i ).
% 0.14/0.40
% 0.14/0.40 thf(four,type,
% 0.14/0.40 four: ( $i > $i ) > $i > $i ).
% 0.14/0.40
% 0.14/0.40 thf(five,type,
% 0.14/0.40 five: ( $i > $i ) > $i > $i ).
% 0.14/0.40
% 0.14/0.40 thf(six,type,
% 0.14/0.40 six: ( $i > $i ) > $i > $i ).
% 0.14/0.40
% 0.14/0.40 thf(seven,type,
% 0.14/0.40 seven: ( $i > $i ) > $i > $i ).
% 0.14/0.40
% 0.14/0.40 thf(eight,type,
% 0.14/0.40 eight: ( $i > $i ) > $i > $i ).
% 0.14/0.40
% 0.14/0.40 thf(nine,type,
% 0.14/0.40 nine: ( $i > $i ) > $i > $i ).
% 0.14/0.40
% 0.14/0.40 thf(ten,type,
% 0.14/0.40 ten: ( $i > $i ) > $i > $i ).
% 0.14/0.40
% 0.14/0.40 thf(succ,type,
% 0.14/0.40 succ: ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ).
% 0.14/0.40
% 0.14/0.40 thf(plus,type,
% 0.14/0.40 plus: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ).
% 0.14/0.40
% 0.14/0.40 thf(mult,type,
% 0.14/0.40 mult: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i ).
% 0.14/0.40
% 0.14/0.40 thf(zero_ax,definition,
% 0.14/0.40 ( zero
% 0.14/0.40 = ( ^ [X: $i > $i,Y: $i] : Y ) ) ).
% 0.14/0.40
% 0.14/0.40 thf(one_ax,definition,
% 0.14/0.40 ( one
% 0.14/0.40 = ( ^ [X: $i > $i,Y: $i] : ( X @ Y ) ) ) ).
% 0.14/0.40
% 0.14/0.40 thf(two_ax,definition,
% 0.14/0.40 ( two
% 0.14/0.40 = ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ Y ) ) ) ) ).
% 0.14/0.40
% 0.14/0.40 thf(three_ax,definition,
% 0.14/0.40 ( three
% 0.14/0.40 = ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ Y ) ) ) ) ) ).
% 0.14/0.40
% 0.14/0.40 thf(four_ax,definition,
% 0.14/0.40 ( four
% 0.14/0.40 = ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ).
% 0.14/0.40
% 0.14/0.40 thf(five_ax,definition,
% 0.14/0.40 ( five
% 0.14/0.40 = ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ) ).
% 0.14/0.40
% 0.14/0.40 thf(six_ax,definition,
% 0.14/0.40 ( six
% 0.14/0.40 = ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ) ) ).
% 0.14/0.40
% 0.14/0.40 thf(seven_ax,definition,
% 0.14/0.40 ( seven
% 0.14/0.40 = ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ) ) ) ).
% 0.14/0.40
% 0.14/0.40 thf(eight_ax,definition,
% 0.14/0.40 ( eight
% 0.14/0.40 = ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ) ) ) ) ).
% 0.14/0.40
% 0.14/0.40 thf(nine_ax,definition,
% 0.14/0.40 ( nine
% 0.14/0.40 = ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ) ) ) ) ) ).
% 0.14/0.40
% 0.14/0.40 thf(ten_ax,definition,
% 0.14/0.40 ( ten
% 0.14/0.40 = ( ^ [X: $i > $i,Y: $i] : ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ ( X @ Y ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.14/0.40
% 0.14/0.40 thf(succ_ax,definition,
% 0.14/0.40 ( succ
% 0.14/0.40 = ( ^ [N: ( $i > $i ) > $i > $i,X: $i > $i,Y: $i] : ( X @ ( N @ X @ Y ) ) ) ) ).
% 0.14/0.40
% 0.14/0.40 thf(plus_ax,definition,
% 0.14/0.40 ( plus
% 0.14/0.40 = ( ^ [M: ( $i > $i ) > $i > $i,N: ( $i > $i ) > $i > $i,X: $i > $i,Y: $i] : ( M @ X @ ( N @ X @ Y ) ) ) ) ).
% 0.14/0.40
% 0.14/0.40 thf(mult_ax,definition,
% 0.14/0.40 ( mult
% 0.14/0.40 = ( ^ [M: ( $i > $i ) > $i > $i,N: ( $i > $i ) > $i > $i,X: $i > $i,Y: $i] : ( M @ ( N @ X ) @ Y ) ) ) ).
% 0.14/0.40
% 0.14/0.40 %------------------------------------------------------------------------------
% 0.14/0.40 %------------------------------------------------------------------------------
% 0.14/0.40 thf(thm,conjecture,
% 0.14/0.40 ? [H: ( ( $i > $i ) > $i > $i ) > ( ( $i > $i ) > $i > $i ) > ( $i > $i ) > $i > $i] :
% 0.14/0.40 ( ( ( H @ two @ three )
% 0.14/0.40 = six )
% 0.14/0.40 & ( ( H @ one @ two )
% 0.14/0.40 = two ) ) ).
% 0.14/0.40
% 0.14/0.40 %------------------------------------------------------------------------------
% 0.14/0.40 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Z8gYh4YSlb/cvc5---1.0.5_20504.p...
% 0.14/0.40 (declare-sort $$unsorted 0)
% 0.14/0.40 (declare-fun tptp.zero ((-> $$unsorted $$unsorted) $$unsorted) $$unsorted)
% 0.14/0.40 (declare-fun tptp.one ((-> $$unsorted $$unsorted) $$unsorted) $$unsorted)
% 0.14/0.40 (declare-fun tptp.two ((-> $$unsorted $$unsorted) $$unsorted) $$unsorted)
% 0.14/0.40 (declare-fun tptp.three ((-> $$unsorted $$unsorted) $$unsorted) $$unsorted)
% 0.14/0.40 (declare-fun tptp.four ((-> $$unsorted $$unsorted) $$unsorted) $$unsorted)
% 0.14/0.40 (declare-fun tptp.five ((-> $$unsorted $$unsorted) $$unsorted) $$unsorted)
% 0.14/0.40 (declare-fun tptp.six ((-> $$unsorted $$unsorted) $$unsorted) $$unsorted)
% 0.14/0.40 (declare-fun tptp.seven ((-> $$unsorted $$unsorted) $$unsorted) $$unsorted)
% 0.14/0.40 (declare-fun tptp.eight ((-> $$unsorted $$unsorted) $$unsorted) $$unsorted)
% 0.14/0.40 (declare-fun tptp.nine ((-> $$unsorted $$unsorted) $$unsorted) $$unsorted)
% 0.14/0.40 (declare-fun tptp.ten ((-> $$unsorted $$unsorted) $$unsorted) $$unsorted)
% 0.14/0.40 (declare-fun tptp.succ ((-> (-> $$unsorted $$unsorted) $$unsorted $$unsorted) (-> $$unsorted $$unsorted) $$unsorted) $$unsorted)
% 0.14/0.40 (declare-fun tptp.plus ((-> (-> $$unsorted $$unsorted) $$unsorted $$unsorted) (-> (-> $$unsorted $$unsorted) $$unsorted $$unsorted) (-> $$unsorted $$unsorted) $$unsorted) $$unsorted)
% 0.14/0.40 (declare-fun tptp.mult ((-> (-> $$unsorted $$unsorted) $$unsorted $$unsorted) (-> (-> $$unsorted $$unsorted) $$unsorted $$unsorted) (-> $$unsorted $$unsorted) $$unsorted) $$unsorted)
% 0.14/0.40 (assert (= tptp.zero (lambda ((X (-> $$unsorted $$unsorted)) (Y $$unsorted)) Y)))
% 0.14/0.40 (assert (= tptp.one (lambda ((X (-> $$unsorted $$unsorted)) (Y $$unsorted)) (@ X Y))))
% 0.14/0.40 (assert (= tptp.two (lambda ((X (-> $$unsorted $$unsorted)) (Y $$unsorted)) (@ X (@ X Y)))))
% 0.14/0.40 (assert (= tptp.three (lambda ((X (-> $$unsorted $$unsorted)) (Y $$unsorted)) (@ X (@ X (@ X Y))))))
% 0.14/0.40 (assert (= tptp.four (lambda ((X (-> $$unsorted $$unsorted)) (Y $$unsorted)) (@ X (@ X (@ X (@ X Y)))))))
% 0.14/0.40 (assert (= tptp.five (lambda ((X (-> $$unsorted $$unsorted)) (Y $$unsorted)) (@ X (@ X (@ X (@ X (@ X Y))))))))
% 0.14/0.40 (assert (= tptp.six (lambda ((X (-> $$unsorted $$unsorted)) (Y $$unsorted)) (@ X (@ X (@ X (@ X (@ X (@ X Y)))))))))
% 0.14/0.40 (assert (= tptp.seven (lambda ((X (-> $$unsorted $$unsorted)) (Y $$unsorted)) (@ X (@ X (@ X (@ X (@ X (@ X (@ X Y))))))))))
% 0.14/0.40 (assert (= tptp.eight (lambda ((X (-> $$unsorted $$unsorted)) (Y $$unsorted)) (@ X (@ X (@ X (@ X (@ X (@ X (@ X (@ X Y)))))))))))
% 0.14/0.40 (assert (= tptp.nine (lambda ((X (-> $$unsorted $$unsorted)) (Y $$unsorted)) (@ X (@ X (@ X (@ X (@ X (@ X (@ X (@ X (@ X Y))))))))))))
% 0.14/0.40 (assert (= tptp.ten (lambda ((X (-> $$unsorted $$unsorted)) (Y $$unsorted)) (@ X (@ X (@ X (@ X (@ X (@ X (@ X (@ X (@ X (@ X Y)))))))))))))
% 0.14/0.40 (assert (= tptp.succ (lambda ((N (-> (-> $$unsorted $$unsorted) $$unsorted $$unsorted)) (X (-> $$unsorted $$unsorted)) (Y $$unsorted)) (@ X (@ (@ N X) Y)))))
% 0.14/0.40 (assert (= tptp.plus (lambda ((M (-> (-> $$unsorted $$unsorted) $$unsorted $$unsorted)) (N (-> (-> $$unsorted $$unsorted) $$unsorted $$unsorted)) (X (-> $$unsorted $$unsorted)) (Y $$unsorted)) (@ (@ M X) (@ (@ N X) Y)))))
% 0.14/0.40 (assert (= tptp.mult (lambda ((M (-> (-> $$unsorted $$unsorted) $$unsorted $$unsorted)) (N (-> (-> $$unsorted $$unsorted) $$unsorted $$unsorted)) (X (-> $$unsorted $$unsorted)) (Y $$unsorted)) (@ (@ M (@ N X)) Y))))
% 0.14/0.40 (assert (not (exists ((H (-> (-> (-> $$unsorted $$unsorted) $$unsorted $$unsorted) (-> (-> $$unsorted $$unsorted) $$unsorted $$unsorted) (-> $$unsorted $$unsorted) $$unsorted $$unsorted))) (and (= (@ (@ H tptp.two) tptp.three) tptp.six) (= (@ (@ H tptp.one) tptp.two) tptp.two)))))
% 0.14/0.40 (set-info :/export/starexec/sandbox2/solver/bin/do_THM_THF: line 35: 20629 Alarm clock ( read result; case "$result" in
% 299.87/300.14 unsat)
% 299.87/300.14 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 299.87/300.14 ;;
% 299.87/300.14 sat)
% 299.87/300.14 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 299.87/300.14 ;;
% 299.87/300.14 esac; exit 1 )
% 299.87/300.15 Alarm clock
% 299.87/300.15 % cvc5---1.0.5 exiting
% 299.87/300.15 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------