%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI343_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 : n005.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 08:07:30 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ARI343_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n005.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 02:27:33 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_ARI % 0.38/0.57 --- Run --finite-model-find --decision=internal at 45... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (define @t1 () (- 64)) % 0.38/0.57 (define @t2 () (/ @t1 5)) % 0.38/0.57 (define @t3 () (- 3)) % 0.38/0.57 (define @t4 () (/ @t3 4)) % 0.38/0.57 (define @t5 () (/ 16 5)) % 0.38/0.57 (define @t6 () (@var "X" Real)) % 0.38/0.57 (define @t7 () (* @t6 @t5)) % 0.38/0.57 (define @t8 () (+ @t7 @t4)) % 0.38/0.57 (define @t9 () (@list @t6)) % 0.38/0.57 (define @t10 () (exists @t9 (< @t8 @t2))) % 0.38/0.57 (define @t11 () (not @t10)) % 0.38/0.57 (define @t12 () (>= @t6 -241/64)) % 0.38/0.57 (define @t13 () (+ (* -1/1 241/64) -1/1)) % 0.38/0.57 (define @t14 () (not @t12)) % 0.38/0.57 (define @t15 () (forall @t9 (not @t14))) % 0.38/0.57 (define @t16 () (not @t15)) % 0.38/0.57 (define @t17 () (* 16/5 @t6)) % 0.38/0.57 (define @t18 () (+ -3/4 @t17)) % 0.38/0.57 (define @t19 () (to_real @t1)) % 0.38/0.57 (define @t20 () (* @t19 1/5)) % 0.38/0.57 (define @t21 () (to_real @t3)) % 0.38/0.57 (define @t22 () (* @t21 1/4)) % 0.38/0.57 (define @t23 () (>= @t8 @t2)) % 0.38/0.57 (assume @p1 @t11) % 0.38/0.57 (assume @p2 true) % 0.38/0.57 (step @p3 :rule evaluate :args ((not true))) % 0.38/0.57 (step @p4 :rule evaluate :args ((not false))) % 0.38/0.57 (assume-push @p65 (forall @t9 @t12)) % 0.38/0.57 (step @p6 :rule evaluate :args ((>= @t13 -241/64))) % 0.38/0.57 (step @p7 :rule instantiate :premises (@p65) :args ((@list @t13))) % 0.38/0.57 (step @p8 false :rule eq_resolve :premises (@p7 @p6)) % 0.38/0.57 (step-pop @p66 :rule scope :premises (@p8)) % 0.38/0.57 (step @p9 :rule process_scope :premises (@p66) :args (false)) % 0.38/0.57 (step @p11 :rule false_intro :premises (@p9)) % 0.38/0.57 (step @p12 :rule bool-double-not-elim :args (@t12)) % 0.38/0.57 (step @p13 :rule cong :premises (@p12) :args (@t15)) % 0.38/0.57 (step @p14 :rule trans :premises (@p13 @p11)) % 0.38/0.57 (step @p15 :rule cong :premises (@p14) :args (@t16)) % 0.38/0.57 (step @p16 :rule trans :premises (@p15 @p4)) % 0.38/0.57 (step @p17 :rule exists-elim :args ((= (exists @t9 @t14) @t16))) % 0.38/0.57 (step @p18 :rule trans :premises (@p17 @p16)) % 0.38/0.57 (step @p19 :rule arith_poly_norm :args ((= (* 241/64 (- @t18 -64/5)) (* 241/20 (- @t6 -241/64))))) % 0.38/0.57 (step @p20 :rule arith_poly_norm_rel :premises (@p19) :args ((= (>= @t18 -64/5) @t12))) % 0.38/0.57 (step @p21 :rule evaluate :args ((* -64/1 1/5))) % 0.38/0.57 (step @p22 :rule refl :args (1/5)) % 0.38/0.57 (step @p23 :rule evaluate :args ((to_real -64))) % 0.38/0.57 (step @p24 :rule evaluate :args (@t1)) % 0.38/0.57 (step @p25 :rule cong :premises (@p24) :args (@t19)) % 0.38/0.57 (step @p26 :rule trans :premises (@p25 @p23)) % 0.38/0.57 (step @p27 :rule nary_cong :premises (@p26 @p22) :args (@t20)) % 0.38/0.57 (step @p28 :rule trans :premises (@p27 @p21)) % 0.38/0.57 (step @p29 :rule evaluate :args (@t20)) % 0.38/0.57 (step @p30 :rule symm :premises (@p29)) % 0.38/0.57 (step @p31 :rule evaluate :args (@t2)) % 0.38/0.57 (step @p32 :rule trans :premises (@p31 @p30)) % 0.38/0.57 (step @p33 :rule trans :premises (@p32 @p28)) % 0.38/0.57 (step @p34 :rule arith_poly_norm :args ((= (+ @t17 -3/4) @t18))) % 0.38/0.57 (step @p35 :rule evaluate :args ((* -3/1 1/4))) % 0.38/0.57 (step @p36 :rule refl :args (1/4)) % 0.38/0.57 (step @p37 :rule evaluate :args ((to_real -3))) % 0.38/0.57 (step @p38 :rule evaluate :args (@t3)) % 0.38/0.57 (step @p39 :rule cong :premises (@p38) :args (@t21)) % 0.38/0.57 (step @p40 :rule trans :premises (@p39 @p37)) % 0.38/0.57 (step @p41 :rule nary_cong :premises (@p40 @p36) :args (@t22)) % 0.38/0.57 (step @p42 :rule trans :premises (@p41 @p35)) % 0.38/0.57 (step @p43 :rule evaluate :args (@t22)) % 0.38/0.57 (step @p44 :rule symm :premises (@p43)) % 0.38/0.57 (step @p45 :rule evaluate :args (@t4)) % 0.38/0.57 (step @p46 :rule trans :premises (@p45 @p44)) % 0.38/0.57 (step @p47 :rule trans :premises (@p46 @p42)) % 0.38/0.57 (step @p48 :rule arith_poly_norm :args ((= (* @t6 16/5) @t17))) % 0.38/0.57 (step @p49 :rule evaluate :args (@t5)) % 0.38/0.57 (step @p50 :rule refl :args (@t6)) % 0.38/0.57 (step @p51 :rule nary_cong :premises (@p50 @p49) :args (@t7)) % 0.38/0.57 (step @p52 :rule trans :premises (@p51 @p48)) % 0.38/0.57 (step @p53 :rule nary_cong :premises (@p52 @p47) :args (@t8)) % 0.38/0.57 (step @p54 :rule trans :premises (@p53 @p34)) % 0.38/0.57 (step @p55 :rule cong :premises (@p54 @p33) :args (@t23)) % 0.38/0.57 (step @p56 :rule trans :premises (@p55 @p20)) % 0.38/0.57 (step @p57 :rule cong :premises (@p56) :args ((not @t23))) % 0.38/0.57 (step @p58 :rule arith-elim-lt :args (@t8 @t2)) % 0.38/0.57 (step @p59 :rule trans :premises (@p58 @p57)) % 0.38/0.57 (step @p60 :rule cong :premises (@p59) :args (@t10)) % 0.38/0.57 (step @p61 :rule trans :premises (@p60 @p18)) % 0.38/0.57 (step @p62 :rule cong :premises (@p61) :args (@t11)) % 0.38/0.57 (step @p63 :rule trans :premises (@p62 @p3)) % 0.38/0.57 (step @p64 false :rule eq_resolve :premises (@p1 @p63)) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------