%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI743_1 : TPTP v9.2.1. Released v7.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:08:14 AM UTC 2026 % Result : Theorem 0.40s 0.62s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI743_1 : TPTP v9.2.1. Released v7.0.0. % 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 : n014.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 : Wed Jun 3 02:33:13 EDT 2026 % 0.16/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_ARI % 0.40/0.62 --- Run --finite-model-find --decision=internal at 45... % 0.40/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.40/0.62 % SZS status Theorem % 0.40/0.62 % SZS output start Proof % 0.40/0.62 ( % 0.40/0.62 (declare-const tptp.sqrt (-> Real Real)) % 0.40/0.62 (declare-const tptp.sqr (-> Real Real)) % 0.40/0.62 (define @t1 () (@var "X" Real)) % 0.40/0.62 (define @t2 () (* @t1 @t1)) % 0.40/0.62 (define @t3 () (tptp.sqr @t1)) % 0.40/0.62 (define @t4 () (= @t3 @t2)) % 0.40/0.62 (define @t5 () (@list @t1)) % 0.40/0.62 (define @t6 () (forall @t5 @t4)) % 0.40/0.62 (define @t7 () (tptp.sqrt @t1)) % 0.40/0.62 (define @t8 () (<= 0/1 @t1)) % 0.40/0.62 (define @t9 () (tptp.sqr @t7)) % 0.40/0.62 (define @t10 () (= @t9 @t1)) % 0.40/0.62 (define @t11 () (=> @t8 @t10)) % 0.40/0.62 (define @t12 () (forall @t5 @t11)) % 0.40/0.62 (define @t13 () (@var "Y" Real)) % 0.40/0.62 (define @t14 () (tptp.sqrt @t13)) % 0.40/0.62 (define @t15 () (* @t7 @t14)) % 0.40/0.62 (define @t16 () (* @t1 @t13)) % 0.40/0.62 (define @t17 () (tptp.sqrt @t16)) % 0.40/0.62 (define @t18 () (= @t17 @t15)) % 0.40/0.62 (define @t19 () (and @t8 (<= 0/1 @t13))) % 0.40/0.62 (define @t20 () (=> @t19 @t18)) % 0.40/0.62 (define @t21 () (@list @t1 @t13)) % 0.40/0.62 (define @t22 () (forall @t21 @t20)) % 0.40/0.62 (define @t23 () (tptp.sqrt 1/1)) % 0.40/0.62 (define @t24 () (>= @t1 0/1)) % 0.40/0.62 (define @t25 () (= @t1 @t9)) % 0.40/0.62 (define @t26 () (tptp.sqr @t23)) % 0.40/0.62 (define @t27 () (= @t26 1/1)) % 0.40/0.62 (define @t28 () (= 1/1 @t26)) % 0.40/0.62 (define @t29 () (>= 1/1 0/1)) % 0.40/0.62 (define @t30 () (not @t29)) % 0.40/0.62 (define @t31 () (or @t30 @t28)) % 0.40/0.62 (define @t32 () (not @t24)) % 0.40/0.62 (define @t33 () (forall @t5 (or @t32 @t25))) % 0.40/0.62 (define @t34 () (@list false)) % 0.40/0.62 (define @t35 () (* @t7 @t14)) % 0.40/0.62 (define @t36 () (* @t1 @t13)) % 0.40/0.62 (define @t37 () (= (tptp.sqrt @t36) @t35)) % 0.40/0.62 (define @t38 () (>= @t13 0/1)) % 0.40/0.62 (define @t39 () (not @t38)) % 0.40/0.62 (define @t40 () (or @t32 @t39 @t37)) % 0.40/0.62 (define @t41 () (and @t24 @t38)) % 0.40/0.62 (define @t42 () (* @t23 @t23)) % 0.40/0.62 (define @t43 () (= @t23 @t42)) % 0.40/0.62 (define @t44 () (* 1/1 1/1)) % 0.40/0.62 (define @t45 () (tptp.sqrt @t44)) % 0.40/0.62 (define @t46 () (= @t45 @t42)) % 0.40/0.62 (define @t47 () (or @t30 @t30 @t46)) % 0.40/0.62 (define @t48 () (forall @t21 @t40)) % 0.40/0.62 (assume @p1 @t6) % 0.40/0.62 (assume @p2 (forall @t5 (=> @t8 (<= 0/1 @t7)))) % 0.40/0.62 (assume @p3 @t12) % 0.40/0.62 (assume @p4 (forall @t5 (=> @t8 (= (tptp.sqrt @t2) @t1)))) % 0.40/0.62 (assume @p5 @t22) % 0.40/0.62 (assume @p6 (forall @t21 (=> (and @t8 (<= @t1 @t13)) (<= @t7 @t14)))) % 0.40/0.62 (assume @p7 (= (tptp.sqrt 0/1) 0/1)) % 0.40/0.62 (assume @p8 (not (= @t23 1/1))) % 0.40/0.62 (assume @p9 true) % 0.40/0.62 (step @p10 :rule evaluate :args ((= false true))) % 0.40/0.62 (step @p11 :rule bool-impl-elim :args (@t24 @t25)) % 0.40/0.62 (step @p12 :rule cong :premises (@p11) :args ((forall @t5 (=> @t24 @t25)))) % 0.40/0.62 (step @p13 :rule arith_poly_norm :args ((= (* 1/1 (- @t9 @t1)) (* -1/1 (- @t1 @t9))))) % 0.40/0.62 (step @p14 :rule arith_poly_norm_rel :premises (@p13) :args ((= @t10 @t25))) % 0.40/0.62 (step @p15 :rule arith-elim-leq :args (0/1 @t1)) % 0.40/0.62 (step @p16 :rule cong :premises (@p15 @p14) :args (@t11)) % 0.40/0.62 (step @p17 :rule cong :premises (@p16) :args (@t12)) % 0.40/0.62 (step @p18 :rule trans :premises (@p17 @p12)) % 0.40/0.62 (step @p19 :rule eq_resolve :premises (@p3 @p18)) % 0.40/0.62 (step @p20 :rule aci_norm :args ((= (or false @t27) @t27))) % 0.40/0.62 (step @p21 :rule arith_poly_norm :args ((= (* -1/1 (- 1/1 @t26)) (* 1/1 (- @t26 1/1))))) % 0.40/0.62 (step @p22 :rule arith_poly_norm_rel :premises (@p21) :args ((= @t28 @t27))) % 0.40/0.62 (step @p23 :rule evaluate :args ((not true))) % 0.40/0.62 (step @p24 :rule evaluate :args (@t29)) % 0.40/0.62 (step @p25 :rule cong :premises (@p24) :args (@t30)) % 0.40/0.62 (step @p26 :rule trans :premises (@p25 @p23)) % 0.40/0.62 (step @p27 :rule nary_cong :premises (@p26 @p22) :args (@t31)) % 0.40/0.62 (step @p28 :rule trans :premises (@p27 @p20)) % 0.40/0.62 (step @p29 :rule refl :args (@t33)) % 0.40/0.62 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t33 @t31))) % 0.40/0.62 (assume-push @p86 @t33) % 0.40/0.62 (step @p32 :rule instantiate :premises (@p19) :args ((@list 1/1))) % 0.40/0.62 (step-pop @p87 :rule scope :premises (@p32)) % 0.40/0.62 (step @p33 :rule process_scope :premises (@p87) :args (@t31)) % 0.40/0.62 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 0.40/0.62 (step @p36 :rule implies_elim :premises (@p35)) % 0.40/0.62 (step @p37 :rule chain_m_resolution :premises (@p36 @p19) :args (@t27 @t34 (@list @t33))) % 0.40/0.62 (step @p38 :rule arith_poly_norm :args ((= @t2 (* @t1 @t1)))) % 0.40/0.62 (step @p39 :rule refl :args (@t3)) % 0.40/0.62 (step @p40 :rule cong :premises (@p39 @p38) :args (@t4)) % 0.40/0.62 (step @p41 :rule cong :premises (@p40) :args (@t6)) % 0.40/0.62 (step @p42 :rule eq_resolve :premises (@p1 @p41)) % 0.40/0.62 (step @p43 :rule instantiate :premises (@p42) :args ((@list @t23))) % 0.40/0.62 (step @p44 :rule symm :premises (@p43)) % 0.40/0.62 (step @p45 :rule aci_norm :args ((= (or (or @t32 @t39) @t37) @t40))) % 0.40/0.62 (step @p46 :rule refl :args (@t37)) % 0.40/0.62 (step @p47 :rule bool-and-de-morgan :args (@t24 @t38 true)) % 0.40/0.62 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or (not @t41) @t37))) % 0.40/0.62 (step @p49 :rule trans :premises (@p48 @p45)) % 0.40/0.62 (step @p50 :rule bool-impl-elim :args (@t41 @t37)) % 0.40/0.62 (step @p51 :rule trans :premises (@p50 @p49)) % 0.40/0.62 (step @p52 :rule cong :premises (@p51) :args ((forall @t21 (=> @t41 @t37)))) % 0.40/0.62 (step @p53 :rule arith_poly_norm :args ((= @t15 @t35))) % 0.40/0.62 (step @p54 :rule arith_poly_norm :args ((= @t16 @t36))) % 0.40/0.62 (step @p55 :rule cong :premises (@p54) :args (@t17)) % 0.40/0.62 (step @p56 :rule cong :premises (@p55 @p53) :args (@t18)) % 0.40/0.62 (step @p57 :rule arith-elim-leq :args (0/1 @t13)) % 0.40/0.62 (step @p58 :rule nary_cong :premises (@p15 @p57) :args (@t19)) % 0.40/0.62 (step @p59 :rule cong :premises (@p58 @p56) :args (@t20)) % 0.40/0.62 (step @p60 :rule cong :premises (@p59) :args (@t22)) % 0.40/0.62 (step @p61 :rule trans :premises (@p60 @p52)) % 0.40/0.62 (step @p62 :rule eq_resolve :premises (@p5 @p61)) % 0.40/0.62 (step @p63 :rule aci_norm :args ((= (or false false @t43) @t43))) % 0.40/0.62 (step @p64 :rule refl :args (@t42)) % 0.40/0.62 (step @p65 :rule evaluate :args (@t44)) % 0.40/0.62 (step @p66 :rule cong :premises (@p65) :args (@t45)) % 0.40/0.62 (step @p67 :rule cong :premises (@p66 @p64) :args (@t46)) % 0.40/0.62 (step @p68 :rule nary_cong :premises (@p26 @p26 @p67) :args (@t47)) % 0.40/0.62 (step @p69 :rule trans :premises (@p68 @p63)) % 0.40/0.62 (step @p70 :rule refl :args (@t48)) % 0.40/0.62 (step @p71 :rule cong :premises (@p70 @p69) :args ((=> @t48 @t47))) % 0.40/0.62 (assume-push @p88 @t48) % 0.40/0.62 (step @p73 :rule instantiate :premises (@p62) :args ((@list 1/1 1/1))) % 0.40/0.62 (step-pop @p89 :rule scope :premises (@p73)) % 0.40/0.62 (step @p74 :rule process_scope :premises (@p89) :args (@t47)) % 0.40/0.62 (step @p76 :rule eq_resolve :premises (@p74 @p71)) % 0.40/0.62 (step @p77 :rule implies_elim :premises (@p76)) % 0.40/0.62 (step @p78 :rule chain_m_resolution :premises (@p77 @p62) :args (@t43 @t34 (@list @t48))) % 0.40/0.62 (step @p79 :rule trans :premises (@p78 @p44)) % 0.40/0.62 (step @p80 :rule trans :premises (@p79 @p37)) % 0.40/0.62 (step @p81 :rule true_intro :premises (@p80)) % 0.40/0.62 (step @p82 :rule false_intro :premises (@p8)) % 0.40/0.62 (step @p83 :rule symm :premises (@p82)) % 0.40/0.62 (step @p84 :rule trans :premises (@p83 @p81)) % 0.40/0.62 (step @p85 false :rule eq_resolve :premises (@p84 @p10)) % 0.40/0.62 ) % 0.40/0.62 % SZS output end Proof % 0.40/0.62 % cvc5 exiting %------------------------------------------------------------------------------