↑ Up

cvc5---1.3.4.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI416_1 : TPTP v9.2.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 : Wed Jun  3 08:07:38 AM UTC 2026

% Result   : Theorem 0.32s 0.53s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI416_1 : TPTP v9.2.1. Released v5.0.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.34  % Computer : n015.cluster.edu
% 0.18/0.34  % Model    : x86_64 x86_64
% 0.18/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34  % Memory   : 8042.1875MB
% 0.18/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34  % CPULimit : 300
% 0.18/0.34  % WCLimit  : 300
% 0.18/0.34  % DateTime : Wed Jun  3 02:28:34 EDT 2026
% 0.18/0.34  % CPUTime  : 
% 0.32/0.49  %----Proving TF0_ARI
% 0.32/0.53  --- Run --finite-model-find --decision=internal at 45...
% 0.32/0.53  % SZS status Theorem
% 0.32/0.53  % SZS output start Proof
% 0.32/0.53  (
% 0.32/0.53  (define @t1 () (@var "X" Real))
% 0.32/0.53  (define @t2 () (- 7))
% 0.32/0.53  (define @t3 () (/ @t2 2))
% 0.32/0.53  (define @t4 () (- 41))
% 0.32/0.53  (define @t5 () (/ @t4 20))
% 0.32/0.53  (define @t6 () (+ @t5 @t3))
% 0.32/0.53  (define @t7 () (= @t6 @t1))
% 0.32/0.53  (define @t8 () (@list @t1))
% 0.32/0.53  (define @t9 () (exists @t8 @t7))
% 0.32/0.53  (define @t10 () (not @t9))
% 0.32/0.53  (define @t11 () (= -111/20 -111/20))
% 0.32/0.53  (define @t12 () (not @t11))
% 0.32/0.53  (define @t13 () (= @t1 -111/20))
% 0.32/0.53  (define @t14 () (not @t13))
% 0.32/0.53  (define @t15 () (or @t14 @t14))
% 0.32/0.53  (define @t16 () (forall @t8 @t14))
% 0.32/0.53  (define @t17 () (not @t16))
% 0.32/0.53  (define @t18 () (to_real @t2))
% 0.32/0.53  (define @t19 () (* @t18 1/2))
% 0.32/0.53  (define @t20 () (to_real @t4))
% 0.32/0.53  (define @t21 () (* @t20 1/20))
% 0.32/0.53  (assume @p1 @t10)
% 0.32/0.53  (assume @p2 true)
% 0.32/0.53  (step @p3 :rule evaluate :args ((not true)))
% 0.32/0.53  (step @p4 :rule evaluate :args ((not false)))
% 0.32/0.53  (step @p5 :rule evaluate :args (@t11))
% 0.32/0.53  (step @p6 :rule cong :premises (@p5) :args (@t12))
% 0.32/0.53  (step @p7 :rule trans :premises (@p6 @p3))
% 0.32/0.53  (step @p8 :rule quant-var-elim-eq :args ((= (forall @t8 @t15) @t12)))
% 0.32/0.53  (step @p9 :rule aci_norm :args ((= @t14 @t15)))
% 0.32/0.53  (step @p10 :rule cong :premises (@p9) :args (@t16))
% 0.32/0.53  (step @p11 :rule trans :premises (@p10 @p8))
% 0.32/0.53  (step @p12 :rule trans :premises (@p11 @p7))
% 0.32/0.53  (step @p13 :rule cong :premises (@p12) :args (@t17))
% 0.32/0.53  (step @p14 :rule trans :premises (@p13 @p4))
% 0.32/0.53  (step @p15 :rule exists-elim :args ((= (exists @t8 @t13) @t17)))
% 0.32/0.53  (step @p16 :rule trans :premises (@p15 @p14))
% 0.32/0.53  (step @p17 :rule arith_poly_norm :args ((= (* 111/20 (- -111/20 @t1)) (* -111/20 (- @t1 -111/20)))))
% 0.32/0.53  (step @p18 :rule arith_poly_norm_rel :premises (@p17) :args ((= (= -111/20 @t1) @t13)))
% 0.32/0.53  (step @p19 :rule refl :args (@t1))
% 0.32/0.53  (step @p20 :rule evaluate :args ((+ -41/20 -7/2)))
% 0.32/0.53  (step @p21 :rule evaluate :args ((* -7/1 1/2)))
% 0.32/0.53  (step @p22 :rule refl :args (1/2))
% 0.32/0.53  (step @p23 :rule evaluate :args ((to_real -7)))
% 0.32/0.53  (step @p24 :rule evaluate :args (@t2))
% 0.32/0.53  (step @p25 :rule cong :premises (@p24) :args (@t18))
% 0.32/0.53  (step @p26 :rule trans :premises (@p25 @p23))
% 0.32/0.53  (step @p27 :rule nary_cong :premises (@p26 @p22) :args (@t19))
% 0.32/0.53  (step @p28 :rule trans :premises (@p27 @p21))
% 0.32/0.53  (step @p29 :rule evaluate :args (@t19))
% 0.32/0.53  (step @p30 :rule symm :premises (@p29))
% 0.32/0.53  (step @p31 :rule evaluate :args (@t3))
% 0.32/0.53  (step @p32 :rule trans :premises (@p31 @p30))
% 0.32/0.53  (step @p33 :rule trans :premises (@p32 @p28))
% 0.32/0.53  (step @p34 :rule evaluate :args ((* -41/1 1/20)))
% 0.32/0.53  (step @p35 :rule refl :args (1/20))
% 0.32/0.53  (step @p36 :rule evaluate :args ((to_real -41)))
% 0.32/0.53  (step @p37 :rule evaluate :args (@t4))
% 0.32/0.53  (step @p38 :rule cong :premises (@p37) :args (@t20))
% 0.32/0.53  (step @p39 :rule trans :premises (@p38 @p36))
% 0.32/0.53  (step @p40 :rule nary_cong :premises (@p39 @p35) :args (@t21))
% 0.32/0.53  (step @p41 :rule trans :premises (@p40 @p34))
% 0.32/0.53  (step @p42 :rule evaluate :args (@t21))
% 0.32/0.53  (step @p43 :rule symm :premises (@p42))
% 0.32/0.53  (step @p44 :rule evaluate :args (@t5))
% 0.32/0.53  (step @p45 :rule trans :premises (@p44 @p43))
% 0.32/0.53  (step @p46 :rule trans :premises (@p45 @p41))
% 0.32/0.53  (step @p47 :rule nary_cong :premises (@p46 @p33) :args (@t6))
% 0.32/0.53  (step @p48 :rule trans :premises (@p47 @p20))
% 0.32/0.53  (step @p49 :rule cong :premises (@p48 @p19) :args (@t7))
% 0.32/0.53  (step @p50 :rule trans :premises (@p49 @p18))
% 0.32/0.53  (step @p51 :rule cong :premises (@p50) :args (@t9))
% 0.32/0.53  (step @p52 :rule trans :premises (@p51 @p16))
% 0.32/0.53  (step @p53 :rule cong :premises (@p52) :args (@t10))
% 0.32/0.53  (step @p54 :rule trans :premises (@p53 @p3))
% 0.32/0.53  (step @p55 false :rule eq_resolve :premises (@p1 @p54))
% 0.32/0.53  )
% 0.32/0.53  % SZS output end Proof
% 0.32/0.53  % cvc5 exiting
%------------------------------------------------------------------------------