%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI741_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 : 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 : Wed Jun 3 08:08:14 AM UTC 2026 % Result : Theorem 0.44s 0.66s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI741_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 % 0.17/0.34 % Computer : n021.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 02:33:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_ARI % 0.44/0.66 --- Run --finite-model-find --decision=internal at 45... % 0.44/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.44/0.66 % SZS status Theorem % 0.44/0.66 % SZS output start Proof % 0.44/0.66 ( % 0.44/0.66 (declare-const tptp.sqrt (-> Real Real)) % 0.44/0.66 (declare-const tptp.pow (-> Real Real Real)) % 0.44/0.66 (declare-const tptp.log10 (-> Real Real)) % 0.44/0.66 (declare-const tptp.sqr (-> Real Real)) % 0.44/0.66 (declare-const tptp.log2 (-> Real Real)) % 0.44/0.66 (declare-const tptp.log (-> Real Real)) % 0.44/0.66 (declare-const tptp.exp (-> Real Real)) % 0.44/0.66 (define @t1 () (@var "Y" Real)) % 0.44/0.66 (define @t2 () (@var "X" Real)) % 0.44/0.66 (define @t3 () (tptp.exp @t2)) % 0.44/0.66 (define @t4 () (+ @t2 @t1)) % 0.44/0.66 (define @t5 () (@list @t2 @t1)) % 0.44/0.66 (define @t6 () (tptp.log @t2)) % 0.44/0.66 (define @t7 () (* @t2 @t1)) % 0.44/0.66 (define @t8 () (< 0/1 @t2)) % 0.44/0.66 (define @t9 () (@list @t2)) % 0.44/0.66 (define @t10 () (tptp.log 2/1)) % 0.44/0.66 (define @t11 () (* @t1 @t6)) % 0.44/0.66 (define @t12 () (tptp.exp @t11)) % 0.44/0.66 (define @t13 () (tptp.pow @t2 @t1)) % 0.44/0.66 (define @t14 () (= @t13 @t12)) % 0.44/0.66 (define @t15 () (=> @t8 @t14)) % 0.44/0.66 (define @t16 () (forall @t5 @t15)) % 0.44/0.66 (define @t17 () (@var "Z" Real)) % 0.44/0.66 (define @t18 () (@list @t2 @t1 @t17)) % 0.44/0.66 (define @t19 () (* @t2 @t2)) % 0.44/0.66 (define @t20 () (tptp.sqr @t2)) % 0.44/0.66 (define @t21 () (= @t20 @t19)) % 0.44/0.66 (define @t22 () (forall @t9 @t21)) % 0.44/0.66 (define @t23 () (tptp.sqrt @t2)) % 0.44/0.66 (define @t24 () (<= 0/1 @t2)) % 0.44/0.66 (define @t25 () (tptp.sqrt @t1)) % 0.44/0.66 (define @t26 () (tptp.pow @t2 2/1)) % 0.44/0.66 (define @t27 () (= @t26 @t20)) % 0.44/0.66 (define @t28 () (=> @t8 @t27)) % 0.44/0.66 (define @t29 () (forall @t9 @t28)) % 0.44/0.66 (define @t30 () (tptp.pow 2/1 2/1)) % 0.44/0.66 (define @t31 () (* @t2 @t2)) % 0.44/0.66 (define @t32 () (* 2/1 2/1)) % 0.44/0.66 (define @t33 () (tptp.sqr 2/1)) % 0.44/0.66 (define @t34 () (= @t33 @t32)) % 0.44/0.66 (define @t35 () (forall @t9 (= @t20 @t31))) % 0.44/0.66 (define @t36 () (@list 2/1)) % 0.44/0.66 (define @t37 () (@list false)) % 0.44/0.66 (define @t38 () (* @t1 @t6)) % 0.44/0.66 (define @t39 () (= @t13 (tptp.exp @t38))) % 0.44/0.66 (define @t40 () (* -1/1 @t2)) % 0.44/0.66 (define @t41 () (>= @t40 0/1)) % 0.44/0.66 (define @t42 () (not @t41)) % 0.44/0.66 (define @t43 () (not @t42)) % 0.44/0.66 (define @t44 () (>= 0/1 @t2)) % 0.44/0.66 (define @t45 () (* 2/1 @t10)) % 0.44/0.66 (define @t46 () (= @t30 (tptp.exp @t45))) % 0.44/0.66 (define @t47 () (* 2/1 @t10)) % 0.44/0.66 (define @t48 () (tptp.exp @t47)) % 0.44/0.66 (define @t49 () (= @t30 @t48)) % 0.44/0.66 (define @t50 () (* -1/1 2/1)) % 0.44/0.66 (define @t51 () (>= @t50 0/1)) % 0.44/0.66 (define @t52 () (or @t51 @t49)) % 0.44/0.66 (define @t53 () (forall @t5 (or @t41 @t39))) % 0.44/0.66 (define @t54 () (= @t20 @t26)) % 0.44/0.66 (define @t55 () (= @t30 @t33)) % 0.44/0.66 (define @t56 () (= @t33 @t30)) % 0.44/0.66 (define @t57 () (or @t51 @t56)) % 0.44/0.66 (define @t58 () (forall @t9 (or @t41 @t54))) % 0.44/0.66 (assume @p1 (= (tptp.exp 0/1) 1/1)) % 0.44/0.66 (assume @p2 (forall @t5 (= (tptp.exp @t4) (* @t3 (tptp.exp @t1))))) % 0.44/0.66 (assume @p3 (= (tptp.log 1/1) 0/1)) % 0.44/0.66 (assume @p4 (forall @t5 (=> (and @t8 (< 0/1 @t1)) (= (tptp.log @t7) (+ @t6 (tptp.log @t1)))))) % 0.44/0.66 (assume @p5 (forall @t9 (= (tptp.log @t3) @t2))) % 0.44/0.66 (assume @p6 (forall @t9 (=> @t8 (= (tptp.exp @t6) @t2)))) % 0.44/0.66 (assume @p7 (forall @t9 (= (tptp.log2 @t2) (/ @t6 @t10)))) % 0.44/0.66 (assume @p8 (forall @t9 (= (tptp.log10 @t2) (/ @t6 (tptp.log 10/1))))) % 0.44/0.66 (assume @p9 @t16) % 0.44/0.66 (assume @p10 (forall @t5 (=> @t8 (< 0/1 @t13)))) % 0.44/0.66 (assume @p11 (forall @t18 (=> (< 0/1 @t17) (= (tptp.pow @t17 @t4) (* (tptp.pow @t17 @t2) (tptp.pow @t17 @t1)))))) % 0.44/0.66 (assume @p12 (forall @t18 (=> @t8 (= (tptp.pow @t13 @t17) (tptp.pow @t2 (* @t1 @t17)))))) % 0.44/0.66 (assume @p13 (forall @t9 (=> @t8 (= (tptp.pow @t2 0/1) 1/1)))) % 0.44/0.66 (assume @p14 (forall @t9 (=> @t8 (= (tptp.pow @t2 1/1) @t2)))) % 0.44/0.66 (assume @p15 (forall (@list @t1) (= (tptp.pow 1/1 @t1) 1/1))) % 0.44/0.66 (assume @p16 @t22) % 0.44/0.66 (assume @p17 (forall @t9 (=> @t24 (<= 0/1 @t23)))) % 0.44/0.66 (assume @p18 (forall @t9 (=> @t24 (= (tptp.sqr @t23) @t2)))) % 0.44/0.66 (assume @p19 (forall @t9 (=> @t24 (= (tptp.sqrt @t19) @t2)))) % 0.44/0.66 (assume @p20 (forall @t5 (=> (and @t24 (<= 0/1 @t1)) (= (tptp.sqrt @t7) (* @t23 @t25))))) % 0.44/0.66 (assume @p21 (forall @t5 (=> (and @t24 (<= @t2 @t1)) (<= @t23 @t25)))) % 0.44/0.66 (assume @p22 @t29) % 0.44/0.66 (assume @p23 (forall @t9 (=> @t8 (= (tptp.pow @t2 (/ 1 2)) @t23)))) % 0.44/0.66 (assume @p24 (not (= @t30 4/1))) % 0.44/0.66 (assume @p25 true) % 0.44/0.66 (step @p26 :rule evaluate :args ((= false true))) % 0.44/0.66 (step @p27 :rule arith_poly_norm :args ((= @t19 @t31))) % 0.44/0.66 (step @p28 :rule refl :args (@t20)) % 0.44/0.66 (step @p29 :rule cong :premises (@p28 @p27) :args (@t21)) % 0.44/0.66 (step @p30 :rule cong :premises (@p29) :args (@t22)) % 0.44/0.66 (step @p31 :rule eq_resolve :premises (@p16 @p30)) % 0.44/0.66 (step @p32 :rule evaluate :args (@t32)) % 0.44/0.66 (step @p33 :rule refl :args (@t33)) % 0.44/0.66 (step @p34 :rule cong :premises (@p33 @p32) :args (@t34)) % 0.44/0.66 (step @p35 :rule refl :args (@t35)) % 0.44/0.66 (step @p36 :rule cong :premises (@p35 @p34) :args ((=> @t35 @t34))) % 0.44/0.66 (assume-push @p118 @t35) % 0.44/0.66 (step @p38 :rule instantiate :premises (@p31) :args (@t36)) % 0.44/0.66 (step-pop @p119 :rule scope :premises (@p38)) % 0.44/0.66 (step @p39 :rule process_scope :premises (@p119) :args (@t34)) % 0.44/0.66 (step @p41 :rule eq_resolve :premises (@p39 @p36)) % 0.44/0.66 (step @p42 :rule implies_elim :premises (@p41)) % 0.44/0.66 (step @p43 :rule chain_m_resolution :premises (@p42 @p31) :args ((= @t33 4/1) @t37 (@list @t35))) % 0.44/0.66 (step @p44 :rule refl :args (@t39)) % 0.44/0.66 (step @p45 :rule bool-double-not-elim :args (@t41)) % 0.44/0.66 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t43 @t39))) % 0.44/0.66 (step @p47 :rule bool-impl-elim :args (@t42 @t39)) % 0.44/0.66 (step @p48 :rule trans :premises (@p47 @p46)) % 0.44/0.66 (step @p49 :rule cong :premises (@p48) :args ((forall @t5 (=> @t42 @t39)))) % 0.44/0.66 (step @p50 :rule arith_poly_norm :args ((= @t11 @t38))) % 0.44/0.66 (step @p51 :rule cong :premises (@p50) :args (@t12)) % 0.44/0.66 (step @p52 :rule refl :args (@t13)) % 0.44/0.66 (step @p53 :rule cong :premises (@p52 @p51) :args (@t14)) % 0.44/0.66 (step @p54 :rule arith_poly_norm :args ((= (* -1/1 (- 0/1 @t2)) (* -1/1 (- @t40 0/1))))) % 0.44/0.66 (step @p55 :rule arith_poly_norm_rel :premises (@p54) :args ((= @t44 @t41))) % 0.44/0.66 (step @p56 :rule cong :premises (@p55) :args ((not @t44))) % 0.44/0.66 (step @p57 :rule arith-elim-lt :args (0/1 @t2)) % 0.44/0.66 (step @p58 :rule trans :premises (@p57 @p56)) % 0.44/0.66 (step @p59 :rule cong :premises (@p58 @p53) :args (@t15)) % 0.44/0.66 (step @p60 :rule cong :premises (@p59) :args (@t16)) % 0.44/0.66 (step @p61 :rule trans :premises (@p60 @p49)) % 0.44/0.66 (step @p62 :rule eq_resolve :premises (@p9 @p61)) % 0.44/0.66 (step @p63 :rule aci_norm :args ((= (or false @t46) @t46))) % 0.44/0.66 (step @p64 :rule arith_poly_norm :args ((= @t47 @t45))) % 0.44/0.66 (step @p65 :rule cong :premises (@p64) :args (@t48)) % 0.44/0.66 (step @p66 :rule refl :args (@t30)) % 0.44/0.66 (step @p67 :rule cong :premises (@p66 @p65) :args (@t49)) % 0.44/0.66 (step @p68 :rule evaluate :args ((>= -2/1 0/1))) % 0.44/0.66 (step @p69 :rule refl :args (0/1)) % 0.44/0.66 (step @p70 :rule evaluate :args (@t50)) % 0.44/0.66 (step @p71 :rule cong :premises (@p70 @p69) :args (@t51)) % 0.44/0.66 (step @p72 :rule trans :premises (@p71 @p68)) % 0.44/0.66 (step @p73 :rule nary_cong :premises (@p72 @p67) :args (@t52)) % 0.44/0.66 (step @p74 :rule trans :premises (@p73 @p63)) % 0.44/0.66 (step @p75 :rule refl :args (@t53)) % 0.44/0.66 (step @p76 :rule cong :premises (@p75 @p74) :args ((=> @t53 @t52))) % 0.44/0.66 (assume-push @p120 @t53) % 0.44/0.66 (step @p78 :rule instantiate :premises (@p62) :args ((@list 2/1 2/1))) % 0.44/0.66 (step-pop @p121 :rule scope :premises (@p78)) % 0.44/0.66 (step @p79 :rule process_scope :premises (@p121) :args (@t52)) % 0.44/0.66 (step @p81 :rule eq_resolve :premises (@p79 @p76)) % 0.44/0.66 (step @p82 :rule implies_elim :premises (@p81)) % 0.44/0.66 (step @p83 :rule chain_m_resolution :premises (@p82 @p62) :args (@t46 @t37 (@list @t53))) % 0.44/0.66 (step @p84 :rule refl :args (@t54)) % 0.44/0.66 (step @p85 :rule nary_cong :premises (@p45 @p84) :args ((or @t43 @t54))) % 0.44/0.66 (step @p86 :rule bool-impl-elim :args (@t42 @t54)) % 0.44/0.66 (step @p87 :rule trans :premises (@p86 @p85)) % 0.44/0.66 (step @p88 :rule cong :premises (@p87) :args ((forall @t9 (=> @t42 @t54)))) % 0.44/0.66 (step @p89 :rule arith_poly_norm :args ((= (* 1/1 (- @t26 @t20)) (* -1/1 (- @t20 @t26))))) % 0.44/0.66 (step @p90 :rule arith_poly_norm_rel :premises (@p89) :args ((= @t27 @t54))) % 0.44/0.66 (step @p91 :rule cong :premises (@p58 @p90) :args (@t28)) % 0.44/0.66 (step @p92 :rule cong :premises (@p91) :args (@t29)) % 0.44/0.66 (step @p93 :rule trans :premises (@p92 @p88)) % 0.44/0.66 (step @p94 :rule eq_resolve :premises (@p22 @p93)) % 0.44/0.66 (step @p95 :rule aci_norm :args ((= (or false @t55) @t55))) % 0.44/0.66 (step @p96 :rule arith_poly_norm :args ((= (* 1/1 (- @t33 @t30)) (* -1/1 (- @t30 @t33))))) % 0.44/0.66 (step @p97 :rule arith_poly_norm_rel :premises (@p96) :args ((= @t56 @t55))) % 0.44/0.66 (step @p98 :rule nary_cong :premises (@p72 @p97) :args (@t57)) % 0.44/0.66 (step @p99 :rule trans :premises (@p98 @p95)) % 0.44/0.66 (step @p100 :rule refl :args (@t58)) % 0.44/0.66 (step @p101 :rule cong :premises (@p100 @p99) :args ((=> @t58 @t57))) % 0.44/0.66 (assume-push @p122 @t58) % 0.44/0.66 (step @p103 :rule instantiate :premises (@p94) :args (@t36)) % 0.44/0.66 (step-pop @p123 :rule scope :premises (@p103)) % 0.44/0.66 (step @p104 :rule process_scope :premises (@p123) :args (@t57)) % 0.44/0.66 (step @p106 :rule eq_resolve :premises (@p104 @p101)) % 0.44/0.66 (step @p107 :rule implies_elim :premises (@p106)) % 0.44/0.66 (step @p108 :rule chain_m_resolution :premises (@p107 @p94) :args (@t55 @t37 (@list @t58))) % 0.44/0.66 (step @p109 :rule symm :premises (@p108)) % 0.44/0.66 (step @p110 :rule trans :premises (@p109 @p83)) % 0.44/0.66 (step @p111 :rule symm :premises (@p110)) % 0.44/0.66 (step @p112 :rule trans :premises (@p83 @p111 @p43)) % 0.44/0.66 (step @p113 :rule true_intro :premises (@p112)) % 0.44/0.66 (step @p114 :rule false_intro :premises (@p24)) % 0.44/0.66 (step @p115 :rule symm :premises (@p114)) % 0.44/0.66 (step @p116 :rule trans :premises (@p115 @p113)) % 0.44/0.66 (step @p117 false :rule eq_resolve :premises (@p116 @p26)) % 0.44/0.66 ) % 0.44/0.66 % SZS output end Proof % 0.44/0.66 % cvc5 exiting %------------------------------------------------------------------------------