↑ Up

cvc5---1.3.4.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : NUM894_1 : TPTP v9.2.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n023.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 08:40:56 AM UTC 2026

% Result   : Theorem 0.30s 0.55s
% Output   : Proof 0.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM894_1 : TPTP v9.2.1. Released v5.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n023.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 12:32:13 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.30/0.49  %----Proving TF0_ARI
% 0.30/0.55  --- Run --finite-model-find --decision=internal at 45...
% 0.30/0.55  % SZS status Theorem
% 0.30/0.55  % SZS output start Proof
% 0.30/0.55  (
% 0.30/0.55  (define @t1 () (@var "X" Int))
% 0.30/0.55  (define @t2 () (@var "Z" Int))
% 0.30/0.55  (define @t3 () (+ @t1 1))
% 0.30/0.55  (define @t4 () (=> (< @t2 @t3) (<= @t2 @t1)))
% 0.30/0.55  (define @t5 () (@list @t1 @t2))
% 0.30/0.55  (define @t6 () (forall @t5 @t4))
% 0.30/0.55  (define @t7 () (not @t6))
% 0.30/0.55  (define @t8 () (+ @t1 (* -1 @t2)))
% 0.30/0.55  (define @t9 () (>= @t8 0))
% 0.30/0.55  (define @t10 () (+ 1 @t1))
% 0.30/0.55  (define @t11 () (+ @t8 1))
% 0.30/0.55  (define @t12 () (>= @t2 @t3))
% 0.30/0.55  (assume @p1 @t7)
% 0.30/0.55  (assume @p2 true)
% 0.30/0.55  (step @p3 :rule evaluate :args ((not true)))
% 0.30/0.55  (step @p4 :rule quant-unused-vars :args ((= (forall @t5 true) true)))
% 0.30/0.55  (step @p5 :rule bool-or-taut2 :args (false @t9 false false))
% 0.30/0.55  (step @p6 :rule bool-impl-elim :args (@t9 @t9))
% 0.30/0.55  (step @p7 :rule trans :premises (@p6 @p5))
% 0.30/0.55  (step @p8 :rule cong :premises (@p7) :args ((forall @t5 (=> @t9 @t9))))
% 0.30/0.55  (step @p9 :rule trans :premises (@p8 @p4))
% 0.30/0.55  (step @p10 :rule arith_poly_norm :args ((= (* 1 (- @t1 @t2)) (* 1 (- @t8 0)))))
% 0.30/0.55  (step @p11 :rule arith_poly_norm_rel :premises (@p10) :args ((= (>= @t1 @t2) @t9)))
% 0.30/0.55  (step @p12 :rule arith-elim-leq :args (@t2 @t1))
% 0.30/0.55  (step @p13 :rule trans :premises (@p12 @p11))
% 0.30/0.55  (step @p14 :rule bool-double-not-elim :args (@t9))
% 0.30/0.55  (step @p15 :rule arith_poly_norm :args ((= (* -1 (- 0 @t11)) (* -1 (- @t2 @t10)))))
% 0.30/0.55  (step @p16 :rule arith_poly_norm_rel :premises (@p15) :args ((= (>= 0 @t11) (>= @t2 @t10))))
% 0.30/0.55  (step @p17 :rule arith-geq-tighten :args (@t8 0))
% 0.30/0.55  (step @p18 :rule trans :premises (@p17 @p16))
% 0.30/0.55  (step @p19 :rule symm :premises (@p18))
% 0.30/0.55  (step @p20 :rule arith_poly_norm :args ((= @t3 @t10)))
% 0.30/0.55  (step @p21 :rule refl :args (@t2))
% 0.30/0.55  (step @p22 :rule cong :premises (@p21 @p20) :args (@t12))
% 0.30/0.55  (step @p23 :rule trans :premises (@p22 @p19))
% 0.30/0.55  (step @p24 :rule cong :premises (@p23) :args ((not @t12)))
% 0.30/0.55  (step @p25 :rule trans :premises (@p24 @p14))
% 0.30/0.55  (step @p26 :rule arith-elim-lt :args (@t2 @t3))
% 0.30/0.55  (step @p27 :rule trans :premises (@p26 @p25))
% 0.30/0.55  (step @p28 :rule cong :premises (@p27 @p13) :args (@t4))
% 0.30/0.55  (step @p29 :rule cong :premises (@p28) :args (@t6))
% 0.30/0.55  (step @p30 :rule trans :premises (@p29 @p9))
% 0.30/0.55  (step @p31 :rule cong :premises (@p30) :args (@t7))
% 0.30/0.55  (step @p32 :rule trans :premises (@p31 @p3))
% 0.30/0.55  (step @p33 false :rule eq_resolve :premises (@p1 @p32))
% 0.30/0.55  )
% 0.30/0.55  % SZS output end Proof
% 0.30/0.55  % cvc5 exiting
%------------------------------------------------------------------------------