TSTP Solution File: NUM782^1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM782^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.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 10:47:56 EDT 2023
% Result : Theorem 0.23s 0.55s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM782^1 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.16/0.36 % Computer : n021.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri Aug 25 09:55:26 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.51 %----Proving TH0
% 0.23/0.55 %------------------------------------------------------------------------------
% 0.23/0.55 % File : NUM782^1 : TPTP v8.1.2. Released v3.7.0.
% 0.23/0.55 % Domain : Number Theory
% 0.23/0.55 % Problem : Landau theorem 80
% 0.23/0.55 % Version : Especial.
% 0.23/0.55 % English : x0 = z0
% 0.23/0.55
% 0.23/0.55 % Refs : [Lan30] Landau (1930), Grundlagen der Analysis
% 0.23/0.55 % : [vBJ79] van Benthem Jutting (1979), Checking Landau's "Grundla
% 0.23/0.55 % : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.23/0.55 % Source : [Bro09]
% 0.23/0.55 % Names : satz80 [Lan30]
% 0.23/0.55
% 0.23/0.55 % Status : Theorem
% 0.23/0.55 % : Without extensionality : Theorem
% 0.23/0.55 % Rating : 0.00 v7.1.0, 0.12 v7.0.0, 0.00 v6.0.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v5.3.0, 0.40 v5.2.0, 0.20 v4.1.0, 0.00 v3.7.0
% 0.23/0.55 % Syntax : Number of formulae : 7 ( 3 unt; 4 typ; 0 def)
% 0.23/0.55 % Number of atoms : 3 ( 3 equ; 0 cnn)
% 0.23/0.55 % Maximal formula atoms : 1 ( 1 avg)
% 0.23/0.55 % Number of connectives : 0 ( 0 ~; 0 |; 0 &; 0 @)
% 0.23/0.55 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.23/0.55 % Maximal formula depth : 1 ( 1 avg)
% 0.23/0.55 % Number of types : 1 ( 1 usr)
% 0.23/0.55 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.23/0.55 % Number of symbols : 4 ( 3 usr; 3 con; 0-2 aty)
% 0.23/0.55 % Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% 0.23/0.55 % SPC : TH0_THM_EQU_NAR
% 0.23/0.55
% 0.23/0.55 % Comments :
% 0.23/0.55 %------------------------------------------------------------------------------
% 0.23/0.55 thf(rat_type,type,
% 0.23/0.55 rat: $tType ).
% 0.23/0.55
% 0.23/0.55 thf(x0,type,
% 0.23/0.55 x0: rat ).
% 0.23/0.55
% 0.23/0.55 thf(y0,type,
% 0.23/0.55 y0: rat ).
% 0.23/0.55
% 0.23/0.55 thf(z0,type,
% 0.23/0.55 z0: rat ).
% 0.23/0.55
% 0.23/0.55 thf(i,axiom,
% 0.23/0.55 x0 = y0 ).
% 0.23/0.55
% 0.23/0.55 thf(j,axiom,
% 0.23/0.55 y0 = z0 ).
% 0.23/0.55
% 0.23/0.55 thf(satz80,conjecture,
% 0.23/0.55 x0 = z0 ).
% 0.23/0.55
% 0.23/0.55 %------------------------------------------------------------------------------
% 0.23/0.55 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.dz8MGGeKpZ/cvc5---1.0.5_30298.p...
% 0.23/0.55 (declare-sort $$unsorted 0)
% 0.23/0.55 (declare-sort tptp.rat 0)
% 0.23/0.55 (declare-fun tptp.x0 () tptp.rat)
% 0.23/0.55 (declare-fun tptp.y0 () tptp.rat)
% 0.23/0.55 (declare-fun tptp.z0 () tptp.rat)
% 0.23/0.55 (assert (= tptp.x0 tptp.y0))
% 0.23/0.55 (assert (= tptp.y0 tptp.z0))
% 0.23/0.55 (assert (not (= tptp.x0 tptp.z0)))
% 0.23/0.55 (set-info :filename cvc5---1.0.5_30298)
% 0.23/0.55 (check-sat-assuming ( true ))
% 0.23/0.55 ------- get file name : TPTP file name is NUM782^1
% 0.23/0.55 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30298.smt2...
% 0.23/0.55 --- Run --ho-elim --full-saturate-quant at 10...
% 0.23/0.55 % SZS status Theorem for NUM782^1
% 0.23/0.55 % SZS output start Proof for NUM782^1
% 0.23/0.55 (
% 0.23/0.55 (let ((_let_1 (not (= tptp.x0 tptp.z0)))) (let ((_let_2 (= tptp.y0 tptp.z0))) (let ((_let_3 (= tptp.x0 tptp.y0))) (SCOPE (SCOPE (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO (AND_INTRO (ASSUME :args (_let_2)) (ASSUME :args (_let_3))) :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args (_let_3 _let_2 _let_1 true))))))
% 0.23/0.55 )
% 0.23/0.55 % SZS output end Proof for NUM782^1
% 0.23/0.55 % cvc5---1.0.5 exiting
% 0.23/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------