%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PLA046_1 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:43:29 AM UTC 2026 % Result : Theorem 119.95s 120.28s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PLA046_1 : TPTP v9.2.1. Released v7.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.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 : Tue Jun 2 13:03:59 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_ARI % 119.95/120.28 --- Run --finite-model-find --decision=internal at 45... % 119.95/120.28 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 119.95/120.28 --- Run --no-e-matching --full-saturate-quant at 45... % 119.95/120.28 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45... % 119.95/120.28 % SZS status Theorem % 119.95/120.28 % SZS output start Proof % 119.95/120.28 ( % 119.95/120.28 (declare-const tptp.mysum (-> Int Real Real)) % 119.95/120.28 (declare-const tptp.pp (-> Int Real Int Real)) % 119.95/120.28 (declare-const tptp.zc (-> Int Real Int Real)) % 119.95/120.28 (declare-const tptp.recf (-> Int Real Int Real)) % 119.95/120.28 (define @t1 () (@var "Z" Real)) % 119.95/120.28 (define @t2 () (/ 9 10)) % 119.95/120.28 (define @t3 () (<= @t2 @t1)) % 119.95/120.28 (define @t4 () (tptp.recf 10 @t1 110)) % 119.95/120.28 (define @t5 () (and (<= 110/1 @t4) @t3 (<= @t1 10/1))) % 119.95/120.28 (define @t6 () (=> @t5 (<= @t1 1/1))) % 119.95/120.28 (define @t7 () (@list @t1)) % 119.95/120.28 (define @t8 () (forall @t7 @t6)) % 119.95/120.28 (define @t9 () (not @t8)) % 119.95/120.28 (define @t10 () (@var "M" Int)) % 119.95/120.28 (define @t11 () (* 2 @t10)) % 119.95/120.28 (define @t12 () (* @t1 (to_real @t11))) % 119.95/120.28 (define @t13 () (- 110/1 @t12)) % 119.95/120.28 (define @t14 () (tptp.zc @t10 @t1 110)) % 119.95/120.28 (define @t15 () (- 110 @t11)) % 119.95/120.28 (define @t16 () (to_real @t15)) % 119.95/120.28 (define @t17 () (* @t16 @t14)) % 119.95/120.28 (define @t18 () (= @t17 @t13)) % 119.95/120.28 (define @t19 () (@list @t10 @t1)) % 119.95/120.28 (define @t20 () (forall @t19 @t18)) % 119.95/120.28 (define @t21 () (- @t10 1)) % 119.95/120.28 (define @t22 () (* @t1 (to_real @t21))) % 119.95/120.28 (define @t23 () (tptp.pp @t10 @t1 110)) % 119.95/120.28 (define @t24 () (tptp.mysum @t10 @t1)) % 119.95/120.28 (define @t25 () (tptp.recf @t10 @t1 110)) % 119.95/120.28 (define @t26 () (to_real @t10)) % 119.95/120.28 (define @t27 () (* -1/1 1/1)) % 119.95/120.28 (define @t28 () (+ 1/1 @t27)) % 119.95/120.28 (define @t29 () (* -1/1 @t1)) % 119.95/120.28 (define @t30 () (>= @t29 -1/1)) % 119.95/120.28 (define @t31 () (>= @t29 -10/1)) % 119.95/120.28 (define @t32 () (not @t31)) % 119.95/120.28 (define @t33 () (>= @t1 9/10)) % 119.95/120.28 (define @t34 () (not @t33)) % 119.95/120.28 (define @t35 () (>= @t4 110/1)) % 119.95/120.28 (define @t36 () (not @t35)) % 119.95/120.28 (define @t37 () (or @t36 @t34 @t32 @t30)) % 119.95/120.28 (define @t38 () (@quantifiers_skolemize (forall @t7 @t37) 0)) % 119.95/120.28 (define @t39 () (* -1/1 @t38)) % 119.95/120.28 (define @t40 () (+ @t38 @t39)) % 119.95/120.28 (define @t41 () (>= @t40 @t28)) % 119.95/120.28 (define @t42 () (>= @t39 -1/1)) % 119.95/120.28 (define @t43 () (>= 1/1 @t38)) % 119.95/120.28 (define @t44 () (or @t36 @t34 @t32)) % 119.95/120.28 (define @t45 () (and @t35 @t33 @t31)) % 119.95/120.28 (define @t46 () (or (not (>= (tptp.recf 10 @t38 110) 110/1)) (not (>= @t38 9/10)) (not (>= @t39 -10/1)) @t42)) % 119.95/120.28 (define @t47 () (* @t1 @t26)) % 119.95/120.28 (define @t48 () (* @t14 @t26)) % 119.95/120.28 (define @t49 () (+ 1/1 (* 1/55 @t48) (* -1/55 @t47))) % 119.95/120.28 (define @t50 () (* -2/1 @t47)) % 119.95/120.28 (define @t51 () (+ 110/1 @t50)) % 119.95/120.28 (define @t52 () (+ (* 110/1 @t14) (* -2/1 @t48))) % 119.95/120.28 (define @t53 () (= @t14 @t49)) % 119.95/120.28 (define @t54 () (* 2/1 @t47)) % 119.95/120.28 (define @t55 () (* -1/1 @t12)) % 119.95/120.28 (define @t56 () (+ 110/1 @t55)) % 119.95/120.28 (define @t57 () (* -2 @t10)) % 119.95/120.28 (define @t58 () (* -1 @t11)) % 119.95/120.28 (define @t59 () (+ 110 @t58)) % 119.95/120.28 (define @t60 () (tptp.zc 55 @t38 110)) % 119.95/120.28 (define @t61 () (+ 1/1 @t39 @t60)) % 119.95/120.28 (define @t62 () (= @t38 1/1)) % 119.95/120.28 (define @t63 () (* 55/1 @t38)) % 119.95/120.28 (define @t64 () (* @t38 55/1)) % 119.95/120.28 (define @t65 () (* -1/55 @t64)) % 119.95/120.28 (define @t66 () (* 55/1 @t60)) % 119.95/120.28 (define @t67 () (* @t60 55/1)) % 119.95/120.28 (define @t68 () (* 1/55 @t67)) % 119.95/120.28 (define @t69 () (+ 1/1 @t68 @t65)) % 119.95/120.28 (define @t70 () (= @t60 @t69)) % 119.95/120.28 (define @t71 () (forall @t19 @t53)) % 119.95/120.28 (define @t72 () (to_real 55)) % 119.95/120.28 (define @t73 () (* @t38 @t72)) % 119.95/120.28 (define @t74 () (* -1/55 @t73)) % 119.95/120.28 (define @t75 () (* @t60 @t72)) % 119.95/120.28 (define @t76 () (* 1/55 @t75)) % 119.95/120.28 (define @t77 () (+ 1/1 @t76 @t74)) % 119.95/120.28 (assume @p1 @t9) % 119.95/120.28 (assume @p2 @t20) % 119.95/120.28 (assume @p3 (forall @t19 (= (* 110/1 @t23) (+ @t22 (* @t14 (* (/ 1 2) (to_real (* (- @t10 2) @t21)))))))) % 119.95/120.28 (assume @p4 (forall @t7 (= (tptp.recf 1 @t1 110) 0/1))) % 119.95/120.28 (assume @p5 (forall @t19 (=> (<= 2 @t10) (= (* @t23 @t25) (+ 1/1 (+ (* (tptp.recf @t21 @t1 110) @t22) (* @t14 @t24))))))) % 119.95/120.28 (assume @p6 (forall @t7 (= (tptp.mysum 0 @t1) 0/1))) % 119.95/120.28 (assume @p7 (forall @t19 (=> (<= 1 @t10) (= @t24 (+ (tptp.mysum @t21 @t1) (* @t25 @t26)))))) % 119.95/120.28 (assume @p8 true) % 119.95/120.28 (step @p9 :rule evaluate :args ((not true))) % 119.95/120.28 (step @p10 :rule evaluate :args ((>= 0/1 0/1))) % 119.95/120.28 (step @p11 :rule evaluate :args ((+ 1/1 -1/1))) % 119.95/120.28 (step @p12 :rule evaluate :args (@t27)) % 119.95/120.28 (step @p13 :rule refl :args (1/1)) % 119.95/120.28 (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t28)) % 119.95/120.28 (step @p15 :rule trans :premises (@p14 @p11)) % 119.95/120.28 (step @p16 :rule arith_poly_norm :args ((= @t40 0/1))) % 119.95/120.28 (step @p17 :rule cong :premises (@p16 @p15) :args (@t41)) % 119.95/120.28 (step @p18 :rule trans :premises (@p17 @p10)) % 119.95/120.28 (step @p19 :rule cong :premises (@p18) :args ((not @t41))) % 119.95/120.28 (step @p20 :rule trans :premises (@p19 @p9)) % 119.95/120.28 (step @p21 :rule arith-elim-lt :args (@t40 @t28)) % 119.95/120.28 (step @p22 :rule trans :premises (@p21 @p20)) % 119.95/120.28 (step @p23 :rule arith_mult_neg :args (-1/1 (> @t38 1/1))) % 119.95/120.28 (step @p24 :rule arith_poly_norm :args ((= (* 1/1 (- 1/1 @t38)) (* 1/1 (- @t39 -1/1))))) % 119.95/120.28 (step @p25 :rule arith_poly_norm_rel :premises (@p24) :args ((= @t43 @t42))) % 119.95/120.28 (step @p26 :rule arith-elim-leq :args (@t38 1/1)) % 119.95/120.28 (step @p27 :rule trans :premises (@p26 @p25)) % 119.95/120.28 (step @p28 :rule cong :premises (@p27) :args ((not (<= @t38 1/1)))) % 119.95/120.28 (step @p29 :rule symm :premises (@p26)) % 119.95/120.28 (step @p30 :rule cong :premises (@p29) :args ((not @t43))) % 119.95/120.28 (step @p31 :rule arith-elim-gt :args (@t38 1/1)) % 119.95/120.28 (step @p32 :rule trans :premises (@p31 @p30)) % 119.95/120.28 (step @p33 :rule trans :premises (@p32 @p28)) % 119.95/120.28 (step @p34 :rule symm :premises (@p33)) % 119.95/120.28 (step @p35 :rule aci_norm :args ((= (or @t44 @t30) @t37))) % 119.95/120.28 (step @p36 :rule refl :args (@t30)) % 119.95/120.28 (step @p37 :rule aci_norm :args ((= (or @t36 (or @t34 @t32)) @t44))) % 119.95/120.28 (step @p38 :rule bool-and-de-morgan :args (@t33 @t31 true)) % 119.95/120.28 (step @p39 :rule refl :args (@t36)) % 119.95/120.28 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or @t36 (not (and @t33 @t31))))) % 119.95/120.28 (step @p41 :rule bool-and-de-morgan :args (@t35 @t33 (and @t31))) % 119.95/120.28 (step @p42 :rule trans :premises (@p41 @p40)) % 119.95/120.28 (step @p43 :rule trans :premises (@p42 @p37)) % 119.95/120.28 (step @p44 :rule nary_cong :premises (@p43 @p36) :args ((or (not @t45) @t30))) % 119.95/120.28 (step @p45 :rule trans :premises (@p44 @p35)) % 119.95/120.28 (step @p46 :rule bool-impl-elim :args (@t45 @t30)) % 119.95/120.28 (step @p47 :rule trans :premises (@p46 @p45)) % 119.95/120.28 (step @p48 :rule cong :premises (@p47) :args ((forall @t7 (=> @t45 @t30)))) % 119.95/120.28 (step @p49 :rule arith_poly_norm :args ((= (* 1/1 (- 1/1 @t1)) (* 1/1 (- @t29 -1/1))))) % 119.95/120.28 (step @p50 :rule arith_poly_norm_rel :premises (@p49) :args ((= (>= 1/1 @t1) @t30))) % 119.95/120.28 (step @p51 :rule arith-elim-leq :args (@t1 1/1)) % 119.95/120.28 (step @p52 :rule trans :premises (@p51 @p50)) % 119.95/120.28 (step @p53 :rule arith_poly_norm :args ((= (* 10/1 (- 10/1 @t1)) (* 10/1 (- @t29 -10/1))))) % 119.95/120.28 (step @p54 :rule arith_poly_norm_rel :premises (@p53) :args ((= (>= 10/1 @t1) @t31))) % 119.95/120.28 (step @p55 :rule arith-elim-leq :args (@t1 10/1)) % 119.95/120.28 (step @p56 :rule trans :premises (@p55 @p54)) % 119.95/120.28 (step @p57 :rule arith-elim-leq :args (9/10 @t1)) % 119.95/120.28 (step @p58 :rule refl :args (@t1)) % 119.95/120.28 (step @p59 :rule evaluate :args (@t2)) % 119.95/120.28 (step @p60 :rule cong :premises (@p59 @p58) :args (@t3)) % 119.95/120.28 (step @p61 :rule trans :premises (@p60 @p57)) % 119.95/120.28 (step @p62 :rule arith-elim-leq :args (110/1 @t4)) % 119.95/120.28 (step @p63 :rule nary_cong :premises (@p62 @p61 @p56) :args (@t5)) % 119.95/120.28 (step @p64 :rule cong :premises (@p63 @p52) :args (@t6)) % 119.95/120.28 (step @p65 :rule cong :premises (@p64) :args (@t8)) % 119.95/120.28 (step @p66 :rule trans :premises (@p65 @p48)) % 119.95/120.28 (step @p67 :rule cong :premises (@p66) :args (@t9)) % 119.95/120.28 (step @p68 :rule eq_resolve :premises (@p1 @p67)) % 119.95/120.28 (step @p69 :rule skolemize :premises (@p68)) % 119.95/120.28 (step @p70 :rule cnf_or_neg :args (@t46 3)) % 119.95/120.28 (step @p71 :rule chain_m_resolution :premises (@p70 @p69) :args ((not @t42) (@list true) (@list @t46))) % 119.95/120.28 (step @p72 :rule eq_resolve :premises (@p71 @p34)) % 119.95/120.28 (step @p73 :rule evaluate :args ((< -1/1 0/1))) % 119.95/120.28 (step @p74 :rule true_elim :premises (@p73)) % 119.95/120.28 (step @p75 :rule and_intro :premises (@p74 @p72)) % 119.95/120.28 (step @p76 :rule modus_ponens :premises (@p75 @p23)) % 119.95/120.28 (step @p77 :rule arith_poly_norm :args ((= (* -1/1 (- @t52 @t51)) (* -110/1 (- @t14 @t49))))) % 119.95/120.28 (step @p78 :rule arith_poly_norm_rel :premises (@p77) :args ((= (= @t52 @t51) @t53))) % 119.95/120.28 (step @p79 :rule arith_poly_norm :args ((= (* -1/1 @t54) @t50))) % 119.95/120.28 (step @p80 :rule arith_poly_norm :args ((= @t12 @t54))) % 119.95/120.28 (step @p81 :rule refl :args (-1/1)) % 119.95/120.28 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t55)) % 119.95/120.28 (step @p83 :rule trans :premises (@p82 @p79)) % 119.95/120.28 (step @p84 :rule refl :args (110/1)) % 119.95/120.28 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t56)) % 119.95/120.28 (step @p86 :rule arith_poly_norm :args ((= @t13 @t56))) % 119.95/120.28 (step @p87 :rule trans :premises (@p86 @p85)) % 119.95/120.28 (step @p88 :rule arith_poly_norm :args ((= (* (to_real (+ 110 @t57)) @t14) @t52))) % 119.95/120.28 (step @p89 :rule refl :args (@t14)) % 119.95/120.28 (step @p90 :rule arith_poly_norm :args ((= @t58 @t57))) % 119.95/120.30 (step @p91 :rule refl :args (110)) % 119.95/120.30 (step @p92 :rule nary_cong :premises (@p91 @p90) :args (@t59)) % 119.95/120.30 (step @p93 :rule arith_poly_norm :args ((= @t15 @t59))) % 119.95/120.30 (step @p94 :rule trans :premises (@p93 @p92)) % 119.95/120.30 (step @p95 :rule cong :premises (@p94) :args (@t16)) % 119.95/120.30 (step @p96 :rule nary_cong :premises (@p95 @p89) :args (@t17)) % 119.95/120.30 (step @p97 :rule trans :premises (@p96 @p88)) % 119.95/120.30 (step @p98 :rule cong :premises (@p97 @p87) :args (@t18)) % 119.95/120.30 (step @p99 :rule trans :premises (@p98 @p78)) % 119.95/120.30 (step @p100 :rule cong :premises (@p99) :args (@t20)) % 119.95/120.30 (step @p101 :rule eq_resolve :premises (@p2 @p100)) % 119.95/120.30 (step @p102 :rule arith_poly_norm :args ((= (* -1/1 (- @t60 @t61)) (* -1/1 (- @t38 1/1))))) % 119.95/120.30 (step @p103 :rule arith_poly_norm_rel :premises (@p102) :args ((= (= @t60 @t61) @t62))) % 119.95/120.30 (step @p104 :rule arith_poly_norm :args ((= (+ 1/1 @t60 @t39) @t61))) % 119.95/120.30 (step @p105 :rule arith_poly_norm :args ((= (* -1/55 @t63) @t39))) % 119.95/120.30 (step @p106 :rule arith_poly_norm :args ((= @t64 @t63))) % 119.95/120.30 (step @p107 :rule refl :args (-1/55)) % 0.34/120.30 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t65)) % 0.34/120.30 (step @p109 :rule trans :premises (@p108 @p105)) % 0.34/120.30 (step @p110 :rule arith_poly_norm :args ((= (* 1/55 @t66) @t60))) % 0.34/120.30 (step @p111 :rule arith_poly_norm :args ((= @t67 @t66))) % 0.34/120.30 (step @p112 :rule refl :args (1/55)) % 0.34/120.30 (step @p113 :rule nary_cong :premises (@p112 @p111) :args (@t68)) % 0.34/120.30 (step @p114 :rule trans :premises (@p113 @p110)) % 0.34/120.30 (step @p115 :rule refl :args (1/1)) % 0.34/120.30 (step @p116 :rule nary_cong :premises (@p115 @p114 @p109) :args (@t69)) % 0.34/120.30 (step @p117 :rule trans :premises (@p116 @p104)) % 0.34/120.30 (step @p118 :rule refl :args (@t60)) % 0.34/120.30 (step @p119 :rule cong :premises (@p118 @p117) :args (@t70)) % 0.34/120.30 (step @p120 :rule trans :premises (@p119 @p103)) % 0.34/120.30 (step @p121 :rule refl :args (@t71)) % 0.34/120.30 (step @p122 :rule cong :premises (@p121 @p120) :args ((=> @t71 @t70))) % 0.34/120.30 (assume-push @p145 @t71) % 0.34/120.30 (step @p124 :rule evaluate :args (@t72)) % 0.34/120.30 (step @p125 :rule refl :args (@t38)) % 0.34/120.30 (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t73)) % 0.34/120.30 (step @p127 :rule refl :args (-1/55)) % 0.34/120.30 (step @p128 :rule nary_cong :premises (@p127 @p126) :args (@t74)) % 0.34/120.30 (step @p129 :rule refl :args (@t60)) % 0.34/120.30 (step @p130 :rule nary_cong :premises (@p129 @p124) :args (@t75)) % 0.34/120.30 (step @p131 :rule refl :args (1/55)) % 0.34/120.30 (step @p132 :rule nary_cong :premises (@p131 @p130) :args (@t76)) % 0.34/120.30 (step @p133 :rule refl :args (1/1)) % 0.34/120.30 (step @p134 :rule nary_cong :premises (@p133 @p132 @p128) :args (@t77)) % 0.34/120.30 (step @p135 :rule cong :premises (@p129 @p134) :args ((= @t60 @t77))) % 0.34/120.30 (step @p136 :rule instantiate :premises (@p101) :args ((@list 55 @t38))) % 0.34/120.30 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 0.34/120.30 (step-pop @p146 :rule scope :premises (@p137)) % 0.34/120.30 (step @p138 :rule process_scope :premises (@p146) :args (@t70)) % 0.34/120.30 (step @p140 :rule eq_resolve :premises (@p138 @p122)) % 0.34/120.30 (step @p141 :rule implies_elim :premises (@p140)) % 0.34/120.30 (step @p142 :rule chain_m_resolution :premises (@p141 @p101) :args (@t62 (@list false) (@list @t71))) % 0.34/120.30 (step @p143 :rule arith_sum_ub :premises (@p142 @p76)) % 0.34/120.30 (step @p144 false :rule eq_resolve :premises (@p143 @p22)) % 0.34/120.30 ) % 0.34/120.30 % SZS output end Proof % 0.34/120.30 % cvc5 exiting %------------------------------------------------------------------------------