%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI619_2 : TPTP v9.2.1. Released v5.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:07:59 AM UTC 2026 % Result : Theorem 0.40s 0.59s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI619_2 : TPTP v9.2.1. Released v5.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n028.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 02:30:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_ARI % 0.40/0.59 --- Run --finite-model-find --decision=internal at 45... % 0.40/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.40/0.59 % SZS status Theorem % 0.40/0.59 % SZS output start Proof % 0.40/0.59 ( % 0.40/0.59 (declare-const tptp.pow2 (-> Real Bool)) % 0.40/0.59 (define @t1 () (tptp.pow2 5/1)) % 0.40/0.59 (define @t2 () (not @t1)) % 0.40/0.59 (define @t3 () (@var "Y" Real)) % 0.40/0.59 (define @t4 () (tptp.pow2 @t3)) % 0.40/0.59 (define @t5 () (@var "X" Real)) % 0.40/0.59 (define @t6 () (* 2/1 @t3)) % 0.40/0.59 (define @t7 () (= @t6 @t5)) % 0.40/0.59 (define @t8 () (and @t7 @t4)) % 0.40/0.59 (define @t9 () (@list @t3)) % 0.40/0.59 (define @t10 () (exists @t9 @t8)) % 0.40/0.59 (define @t11 () (and (<= 2/1 @t5) @t10)) % 0.40/0.59 (define @t12 () (= @t5 1/1)) % 0.40/0.59 (define @t13 () (or @t12 @t11)) % 0.40/0.59 (define @t14 () (tptp.pow2 @t5)) % 0.40/0.59 (define @t15 () (= @t14 @t13)) % 0.40/0.59 (define @t16 () (@list @t5)) % 0.40/0.59 (define @t17 () (forall @t16 @t15)) % 0.40/0.59 (define @t18 () (=> @t17 @t2)) % 0.40/0.59 (define @t19 () (not @t18)) % 0.40/0.59 (define @t20 () (* 1/2 @t5)) % 0.40/0.59 (define @t21 () (tptp.pow2 @t20)) % 0.40/0.59 (define @t22 () (not @t21)) % 0.40/0.59 (define @t23 () (* @t5 1/2)) % 0.40/0.59 (define @t24 () (tptp.pow2 @t23)) % 0.40/0.59 (define @t25 () (not @t24)) % 0.40/0.59 (define @t26 () (* 2/1 @t23)) % 0.40/0.59 (define @t27 () (= @t5 @t26)) % 0.40/0.59 (define @t28 () (not @t27)) % 0.40/0.59 (define @t29 () (or @t28 @t25)) % 0.40/0.59 (define @t30 () (not @t4)) % 0.40/0.59 (define @t31 () (= @t5 @t6)) % 0.40/0.59 (define @t32 () (not @t31)) % 0.40/0.59 (define @t33 () (= @t3 @t23)) % 0.40/0.59 (define @t34 () (- @t5 @t6)) % 0.40/0.59 (define @t35 () (or @t32 @t32 @t30)) % 0.40/0.59 (define @t36 () (or @t32 @t30)) % 0.40/0.59 (define @t37 () (and @t31 @t4)) % 0.40/0.59 (define @t38 () (forall @t9 (not @t37))) % 0.40/0.59 (define @t39 () (not @t38)) % 0.40/0.59 (define @t40 () (tptp.pow2 5/4)) % 0.40/0.59 (define @t41 () (* 1/2 5/2)) % 0.40/0.59 (define @t42 () (tptp.pow2 @t41)) % 0.40/0.59 (define @t43 () (>= 5/2 2/1)) % 0.40/0.59 (define @t44 () (and @t43 @t42)) % 0.40/0.59 (define @t45 () (= 5/2 1/1)) % 0.40/0.59 (define @t46 () (or @t45 @t44)) % 0.40/0.59 (define @t47 () (tptp.pow2 5/2)) % 0.40/0.59 (define @t48 () (= @t47 @t46)) % 0.40/0.59 (define @t49 () (forall @t16 (= @t14 (or @t12 (and (>= @t5 2/1) @t21))))) % 0.40/0.59 (define @t50 () (= @t47 @t40)) % 0.40/0.59 (define @t51 () (@list false)) % 0.40/0.59 (define @t52 () (@list @t49)) % 0.40/0.59 (define @t53 () (* 1/2 5/1)) % 0.40/0.59 (define @t54 () (tptp.pow2 @t53)) % 0.40/0.59 (define @t55 () (>= 5/1 2/1)) % 0.40/0.59 (define @t56 () (and @t55 @t54)) % 0.40/0.59 (define @t57 () (= 5/1 1/1)) % 0.40/0.59 (define @t58 () (or @t57 @t56)) % 0.40/0.59 (define @t59 () (= @t1 @t58)) % 0.40/0.59 (define @t60 () (= @t1 @t47)) % 0.40/0.59 (define @t61 () (@list false false)) % 0.40/0.59 (define @t62 () (* 1/2 5/4)) % 0.40/0.59 (define @t63 () (tptp.pow2 @t62)) % 0.40/0.59 (define @t64 () (>= 5/4 2/1)) % 0.40/0.59 (define @t65 () (and @t64 @t63)) % 0.40/0.59 (define @t66 () (= 5/4 1/1)) % 0.40/0.59 (define @t67 () (or @t66 @t65)) % 0.40/0.59 (define @t68 () (= @t40 @t67)) % 0.40/0.59 (assume @p1 @t19) % 0.40/0.59 (assume @p2 true) % 0.40/0.59 (step @p3 :rule refl :args (@t2)) % 0.40/0.59 (step @p4 :rule bool-double-not-elim :args (@t21)) % 0.40/0.59 (step @p5 :rule aci_norm :args ((= (or false @t22) @t22))) % 0.40/0.59 (step @p6 :rule arith_poly_norm :args ((= @t23 @t20))) % 0.40/0.59 (step @p7 :rule cong :premises (@p6) :args (@t24)) % 0.40/0.59 (step @p8 :rule cong :premises (@p7) :args (@t25)) % 0.40/0.59 (step @p9 :rule evaluate :args ((not true))) % 0.40/0.59 (step @p10 :rule eq-refl :args (@t5)) % 0.40/0.59 (step @p11 :rule arith_poly_norm :args ((= (* 2/1 @t20) @t5))) % 0.40/0.59 (step @p12 :rule refl :args (2/1)) % 0.40/0.59 (step @p13 :rule nary_cong :premises (@p12 @p6) :args (@t26)) % 0.40/0.59 (step @p14 :rule trans :premises (@p13 @p11)) % 0.40/0.59 (step @p15 :rule refl :args (@t5)) % 0.40/0.59 (step @p16 :rule cong :premises (@p15 @p14) :args (@t27)) % 0.40/0.59 (step @p17 :rule trans :premises (@p16 @p10)) % 0.40/0.59 (step @p18 :rule cong :premises (@p17) :args (@t28)) % 0.40/0.59 (step @p19 :rule trans :premises (@p18 @p9)) % 0.40/0.59 (step @p20 :rule nary_cong :premises (@p19 @p8) :args (@t29)) % 0.40/0.59 (step @p21 :rule trans :premises (@p20 @p5)) % 0.40/0.59 (step @p22 :rule quant-var-elim-eq :args ((= (forall @t9 (or (not @t33) @t32 @t30)) @t29))) % 0.40/0.59 (step @p23 :rule refl :args (@t30)) % 0.40/0.59 (step @p24 :rule refl :args (@t32)) % 0.40/0.59 (step @p25 :rule arith_poly_norm :args ((= (* -1/2 @t34) (* 1/1 (- @t3 @t23))))) % 0.40/0.59 (step @p26 :rule arith_poly_norm_rel :premises (@p25) :args ((= @t31 @t33))) % 0.40/0.59 (step @p27 :rule cong :premises (@p26) :args (@t32)) % 0.40/0.59 (step @p28 :rule nary_cong :premises (@p27 @p24 @p23) :args (@t35)) % 0.40/0.59 (step @p29 :rule aci_norm :args ((= @t36 @t35))) % 0.40/0.59 (step @p30 :rule trans :premises (@p29 @p28)) % 0.40/0.59 (step @p31 :rule cong :premises (@p30) :args ((forall @t9 @t36))) % 0.40/0.59 (step @p32 :rule trans :premises (@p31 @p22)) % 0.40/0.59 (step @p33 :rule trans :premises (@p32 @p21)) % 0.40/0.59 (step @p34 :rule bool-and-de-morgan :args (@t31 @t4 true)) % 0.40/0.59 (step @p35 :rule cong :premises (@p34) :args (@t38)) % 0.40/0.59 (step @p36 :rule trans :premises (@p35 @p33)) % 0.40/0.59 (step @p37 :rule cong :premises (@p36) :args (@t39)) % 0.40/0.59 (step @p38 :rule trans :premises (@p37 @p4)) % 0.40/0.59 (step @p39 :rule exists-elim :args ((= (exists @t9 @t37) @t39))) % 0.40/0.59 (step @p40 :rule trans :premises (@p39 @p38)) % 0.40/0.59 (step @p41 :rule refl :args (@t4)) % 0.40/0.59 (step @p42 :rule arith_poly_norm :args ((= (* 1/1 (- @t6 @t5)) (* -1/1 @t34)))) % 0.40/0.59 (step @p43 :rule arith_poly_norm_rel :premises (@p42) :args ((= @t7 @t31))) % 0.40/0.59 (step @p44 :rule nary_cong :premises (@p43 @p41) :args (@t8)) % 0.40/0.59 (step @p45 :rule cong :premises (@p44) :args (@t10)) % 0.40/0.59 (step @p46 :rule trans :premises (@p45 @p40)) % 0.40/0.59 (step @p47 :rule arith-elim-leq :args (2/1 @t5)) % 0.40/0.59 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t11)) % 0.40/0.59 (step @p49 :rule refl :args (@t12)) % 0.40/0.59 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t13)) % 0.40/0.59 (step @p51 :rule refl :args (@t14)) % 0.40/0.59 (step @p52 :rule cong :premises (@p51 @p50) :args (@t15)) % 0.40/0.59 (step @p53 :rule cong :premises (@p52) :args (@t17)) % 0.40/0.59 (step @p54 :rule cong :premises (@p53 @p3) :args (@t18)) % 0.40/0.59 (step @p55 :rule cong :premises (@p54) :args (@t19)) % 0.40/0.59 (step @p56 :rule eq_resolve :premises (@p1 @p55)) % 0.40/0.59 (step @p57 :rule not_implies_elim1 :premises (@p56)) % 0.40/0.59 (step @p58 :rule aci_norm :args ((= (or false @t40) @t40))) % 0.40/0.59 (step @p59 :rule aci_norm :args ((= (and true @t40) @t40))) % 0.40/0.59 (step @p60 :rule evaluate :args (@t41)) % 0.40/0.59 (step @p61 :rule cong :premises (@p60) :args (@t42)) % 0.40/0.59 (step @p62 :rule evaluate :args (@t43)) % 0.40/0.59 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t44)) % 0.40/0.59 (step @p64 :rule trans :premises (@p63 @p59)) % 0.40/0.59 (step @p65 :rule evaluate :args (@t45)) % 0.40/0.59 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t46)) % 0.40/0.59 (step @p67 :rule trans :premises (@p66 @p58)) % 0.40/0.59 (step @p68 :rule refl :args (@t47)) % 0.40/0.59 (step @p69 :rule cong :premises (@p68 @p67) :args (@t48)) % 0.40/0.59 (step @p70 :rule refl :args (@t49)) % 0.40/0.59 (step @p71 :rule cong :premises (@p70 @p69) :args ((=> @t49 @t48))) % 0.40/0.59 (assume-push @p129 @t49) % 0.40/0.59 (step @p73 :rule instantiate :premises (@p57) :args ((@list 5/2))) % 0.40/0.59 (step-pop @p130 :rule scope :premises (@p73)) % 0.40/0.59 (step @p74 :rule process_scope :premises (@p130) :args (@t48)) % 0.40/0.59 (step @p76 :rule eq_resolve :premises (@p74 @p71)) % 0.40/0.59 (step @p77 :rule implies_elim :premises (@p76)) % 0.40/0.59 (step @p78 :rule chain_m_resolution :premises (@p77 @p57) :args (@t50 @t51 @t52)) % 0.40/0.59 (step @p79 :rule aci_norm :args ((= (or false @t47) @t47))) % 0.40/0.59 (step @p80 :rule aci_norm :args ((= (and true @t47) @t47))) % 0.40/0.59 (step @p81 :rule evaluate :args (@t53)) % 0.40/0.59 (step @p82 :rule cong :premises (@p81) :args (@t54)) % 0.40/0.59 (step @p83 :rule evaluate :args (@t55)) % 0.40/0.59 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t56)) % 0.40/0.59 (step @p85 :rule trans :premises (@p84 @p80)) % 0.40/0.59 (step @p86 :rule evaluate :args (@t57)) % 0.40/0.59 (step @p87 :rule nary_cong :premises (@p86 @p85) :args (@t58)) % 0.40/0.59 (step @p88 :rule trans :premises (@p87 @p79)) % 0.40/0.59 (step @p89 :rule refl :args (@t1)) % 0.40/0.59 (step @p90 :rule cong :premises (@p89 @p88) :args (@t59)) % 0.40/0.59 (step @p91 :rule cong :premises (@p70 @p90) :args ((=> @t49 @t59))) % 0.40/0.59 (assume-push @p131 @t49) % 0.40/0.59 (step @p93 :rule instantiate :premises (@p57) :args ((@list 5/1))) % 0.40/0.59 (step-pop @p132 :rule scope :premises (@p93)) % 0.40/0.59 (step @p94 :rule process_scope :premises (@p132) :args (@t59)) % 0.40/0.59 (step @p96 :rule eq_resolve :premises (@p94 @p91)) % 0.40/0.59 (step @p97 :rule implies_elim :premises (@p96)) % 0.40/0.59 (step @p98 :rule chain_m_resolution :premises (@p97 @p57) :args (@t60 @t51 @t52)) % 0.40/0.59 (step @p99 :rule not_implies_elim2 :premises (@p56)) % 0.40/0.59 (step @p100 :rule not_not_elim :premises (@p99)) % 0.40/0.59 (step @p101 :rule cnf_equiv_pos1 :args (@t60)) % 0.40/0.59 (step @p102 :rule reordering :premises (@p101) :args ((or @t2 @t47 (not @t60)))) % 0.40/0.59 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p98) :args (@t47 @t61 (@list @t1 @t60))) % 0.40/0.59 (step @p104 :rule cnf_equiv_pos1 :args (@t50)) % 0.40/0.59 (step @p105 :rule reordering :premises (@p104) :args ((or (not @t47) @t40 (not @t50)))) % 0.40/0.59 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p78) :args (@t40 @t61 (@list @t47 @t50))) % 0.40/0.59 (step @p107 :rule bool-eq-false :args (@t40)) % 0.40/0.59 (step @p108 :rule evaluate :args ((or false false))) % 0.40/0.59 (step @p109 :rule absorb :args ((= (and false (tptp.pow2 5/8)) false))) % 0.40/0.60 (step @p110 :rule evaluate :args (@t62)) % 0.40/0.60 (step @p111 :rule cong :premises (@p110) :args (@t63)) % 0.40/0.60 (step @p112 :rule evaluate :args (@t64)) % 0.40/0.60 (step @p113 :rule nary_cong :premises (@p112 @p111) :args (@t65)) % 0.40/0.60 (step @p114 :rule trans :premises (@p113 @p109)) % 0.40/0.60 (step @p115 :rule evaluate :args (@t66)) % 0.40/0.60 (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t67)) % 0.40/0.60 (step @p117 :rule trans :premises (@p116 @p108)) % 0.40/0.60 (step @p118 :rule refl :args (@t40)) % 0.40/0.60 (step @p119 :rule cong :premises (@p118 @p117) :args (@t68)) % 0.40/0.60 (step @p120 :rule trans :premises (@p119 @p107)) % 0.40/0.60 (step @p121 :rule cong :premises (@p70 @p120) :args ((=> @t49 @t68))) % 0.40/0.60 (assume-push @p133 @t49) % 0.40/0.60 (step @p123 :rule instantiate :premises (@p57) :args ((@list 5/4))) % 0.40/0.60 (step-pop @p134 :rule scope :premises (@p123)) % 0.40/0.60 (step @p124 :rule process_scope :premises (@p134) :args (@t68)) % 0.40/0.60 (step @p126 :rule eq_resolve :premises (@p124 @p121)) % 0.40/0.60 (step @p127 :rule implies_elim :premises (@p126)) % 0.40/0.60 (step @p128 false :rule chain_m_resolution :premises (@p127 @p106 @p57) :args (false @t61 (@list @t40 @t49))) % 0.40/0.60 ) % 0.40/0.60 % SZS output end Proof % 0.40/0.60 % cvc5 exiting %------------------------------------------------------------------------------