%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI617_1 : 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 : 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 08:07:59 AM UTC 2026 % Result : Theorem 0.41s 0.63s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI617_1 : TPTP v9.2.1. Released v5.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n021.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Wed Jun 3 02:31:05 EDT 2026 % 0.15/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_ARI % 0.41/0.63 --- Run --finite-model-find --decision=internal at 45... % 0.41/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.41/0.63 % SZS status Theorem % 0.41/0.63 % SZS output start Proof % 0.41/0.63 ( % 0.41/0.63 (declare-const tptp.f (-> Int Int)) % 0.41/0.63 (declare-const tptp.g (-> Int Int)) % 0.41/0.63 (define @t1 () (@var "X" Int)) % 0.41/0.63 (define @t2 () (tptp.g @t1)) % 0.41/0.63 (define @t3 () (tptp.f @t1)) % 0.41/0.63 (define @t4 () (@list @t1)) % 0.41/0.63 (define @t5 () (forall @t4 (= @t3 @t2))) % 0.41/0.63 (define @t6 () (- @t1)) % 0.41/0.63 (define @t7 () (= @t2 @t6)) % 0.41/0.63 (define @t8 () (= @t2 @t1)) % 0.41/0.63 (define @t9 () (or @t8 @t7)) % 0.41/0.63 (define @t10 () (and (<= 0 @t2) @t9)) % 0.41/0.63 (define @t11 () (forall @t4 @t10)) % 0.41/0.63 (define @t12 () (<= @t3 @t6)) % 0.41/0.63 (define @t13 () (or (<= @t3 @t1) @t12)) % 0.41/0.63 (define @t14 () (<= @t6 @t3)) % 0.41/0.63 (define @t15 () (and (<= @t1 @t3) @t14 @t13)) % 0.41/0.63 (define @t16 () (forall @t4 @t15)) % 0.41/0.63 (define @t17 () (and @t16 @t11)) % 0.41/0.63 (define @t18 () (=> @t17 @t5)) % 0.41/0.63 (define @t19 () (not @t18)) % 0.41/0.63 (define @t20 () (@var "BOUND_VARIABLE_7495" Int)) % 0.41/0.63 (define @t21 () (tptp.g @t20)) % 0.41/0.63 (define @t22 () (forall (@list @t20) (or (= @t20 @t21) (= @t20 (* -1 @t21))))) % 0.41/0.63 (define @t23 () (@var "BOUND_VARIABLE_7489" Int)) % 0.41/0.63 (define @t24 () (forall (@list @t23) (>= (tptp.g @t23) 0))) % 0.41/0.63 (define @t25 () (@var "BOUND_VARIABLE_7464" Int)) % 0.41/0.63 (define @t26 () (tptp.f @t25)) % 0.41/0.63 (define @t27 () (forall (@list @t25) (or (>= (+ @t25 (* -1 @t26)) 0) (not (>= (+ @t25 @t26) 1))))) % 0.41/0.63 (define @t28 () (@var "BOUND_VARIABLE_7457" Int)) % 0.41/0.63 (define @t29 () (forall (@list @t28) (>= (+ @t28 (tptp.f @t28)) 0))) % 0.41/0.63 (define @t30 () (@var "BOUND_VARIABLE_7448" Int)) % 0.41/0.63 (define @t31 () (forall (@list @t30) (not (>= (+ @t30 (* -1 (tptp.f @t30))) 1)))) % 0.41/0.63 (define @t32 () (* -1 @t2)) % 0.41/0.63 (define @t33 () (= @t1 @t32)) % 0.41/0.63 (define @t34 () (= @t1 @t2)) % 0.41/0.63 (define @t35 () (or @t34 @t33)) % 0.41/0.63 (define @t36 () (forall @t4 @t35)) % 0.41/0.63 (define @t37 () (@list @t1)) % 0.41/0.63 (define @t38 () (>= @t2 0)) % 0.41/0.63 (define @t39 () (forall @t4 @t38)) % 0.41/0.63 (define @t40 () (and @t39 @t36)) % 0.41/0.63 (define @t41 () (* -1 @t1)) % 0.41/0.63 (define @t42 () (+ @t1 @t3)) % 0.41/0.63 (define @t43 () (>= @t42 1)) % 0.41/0.63 (define @t44 () (+ @t1 (* -1 @t3))) % 0.41/0.63 (define @t45 () (>= @t44 0)) % 0.41/0.63 (define @t46 () (or @t45 (not @t43))) % 0.41/0.63 (define @t47 () (forall @t4 @t46)) % 0.41/0.63 (define @t48 () (>= @t42 0)) % 0.41/0.63 (define @t49 () (forall @t4 @t48)) % 0.41/0.63 (define @t50 () (>= @t44 1)) % 0.41/0.63 (define @t51 () (not @t50)) % 0.41/0.63 (define @t52 () (forall @t4 @t51)) % 0.41/0.63 (define @t53 () (and @t52 @t49 @t47)) % 0.41/0.63 (define @t54 () (+ @t41 1)) % 0.41/0.63 (define @t55 () (>= @t3 @t54)) % 0.41/0.63 (define @t56 () (+ @t3 1)) % 0.41/0.63 (define @t57 () (>= @t1 @t56)) % 0.41/0.63 (define @t58 () (@quantifiers_skolemize @t5 0)) % 0.41/0.63 (define @t59 () (@list @t58)) % 0.41/0.63 (define @t60 () (tptp.g @t58)) % 0.41/0.63 (define @t61 () (= @t58 @t60)) % 0.41/0.63 (define @t62 () (not @t61)) % 0.41/0.63 (define @t63 () (tptp.f @t58)) % 0.41/0.63 (define @t64 () (* -1 @t63)) % 0.41/0.63 (define @t65 () (+ @t58 @t64)) % 0.41/0.63 (define @t66 () (>= @t65 1)) % 0.41/0.63 (define @t67 () (* -1 @t60)) % 0.41/0.63 (define @t68 () (+ @t63 @t67)) % 0.41/0.63 (define @t69 () (>= @t68 0)) % 0.41/0.63 (define @t70 () (not @t66)) % 0.41/0.63 (define @t71 () (not @t70)) % 0.41/0.63 (define @t72 () (not @t69)) % 0.41/0.63 (define @t73 () (not @t72)) % 0.41/0.63 (define @t74 () (+ @t58 @t67)) % 0.41/0.63 (define @t75 () (= @t74 0)) % 0.41/0.63 (define @t76 () (not true)) % 0.41/0.63 (define @t77 () (>= 0 0)) % 0.41/0.63 (define @t78 () (* -1 0)) % 0.41/0.63 (define @t79 () (+ @t78 -1 1)) % 0.41/0.63 (define @t80 () (* 0 @t58)) % 0.41/0.63 (define @t81 () (= @t80 0)) % 0.41/0.63 (define @t82 () (* 0 @t60)) % 0.41/0.63 (define @t83 () (+ @t64 @t82 @t63 @t80)) % 0.41/0.63 (define @t84 () (* -1 @t74)) % 0.41/0.63 (define @t85 () (+ @t84 @t68 @t65)) % 0.41/0.63 (define @t86 () (>= @t85 @t79)) % 0.41/0.63 (define @t87 () (< -1 0)) % 0.41/0.63 (define @t88 () (= (* 1 (- @t74 0)) (* 1 (- @t58 @t60)))) % 0.41/0.63 (define @t89 () (= @t75 @t61)) % 0.41/0.63 (define @t90 () (and @t70 @t72 @t61)) % 0.41/0.63 (define @t91 () (= @t58 @t67)) % 0.41/0.63 (define @t92 () (or @t61 @t91)) % 0.41/0.63 (define @t93 () (not @t91)) % 0.41/0.63 (define @t94 () (+ @t58 @t63)) % 0.41/0.63 (define @t95 () (>= @t94 0)) % 0.41/0.63 (define @t96 () (not @t95)) % 0.41/0.63 (define @t97 () (+ @t58 @t60)) % 0.41/0.63 (define @t98 () (= @t97 0)) % 0.41/0.63 (define @t99 () (+ 0 0 0)) % 0.41/0.63 (define @t100 () (+ 0 0 @t78)) % 0.41/0.63 (define @t101 () (* 0 @t63)) % 0.41/0.63 (define @t102 () (= @t101 0)) % 0.41/0.63 (define @t103 () (+ @t67 @t60 @t101 @t80)) % 0.41/0.63 (define @t104 () (+ @t97 @t68 (* -1 @t94))) % 0.41/0.63 (define @t105 () (>= @t104 @t100)) % 0.41/0.63 (define @t106 () (= (* 1 (- @t97 0)) (* 1 (- @t58 @t67)))) % 0.41/0.63 (define @t107 () (= @t98 @t91)) % 0.41/0.63 (define @t108 () (and @t95 @t72 @t91)) % 0.41/0.63 (define @t109 () (>= @t68 1)) % 0.41/0.63 (define @t110 () (= @t63 @t60)) % 0.41/0.63 (define @t111 () (not @t109)) % 0.41/0.63 (define @t112 () (not @t110)) % 0.41/0.63 (define @t113 () (not @t112)) % 0.41/0.63 (define @t114 () (= @t68 0)) % 0.41/0.63 (define @t115 () (and @t112 @t111)) % 0.41/0.63 (define @t116 () (@list true false)) % 0.41/0.63 (define @t117 () (>= @t94 1)) % 0.41/0.63 (define @t118 () (not @t117)) % 0.41/0.63 (define @t119 () (not @t118)) % 0.41/0.63 (define @t120 () (* -1 1)) % 0.41/0.63 (define @t121 () (+ 1 @t120 @t78)) % 0.41/0.63 (define @t122 () (= (+ @t60 @t67 0 0) 0)) % 0.41/0.63 (define @t123 () (+ @t60 @t67 @t101 @t80)) % 0.41/0.63 (define @t124 () (* -1 @t68)) % 0.41/0.63 (define @t125 () (+ @t94 @t124 (* -1 @t97))) % 0.41/0.63 (define @t126 () (= @t125 @t123)) % 0.41/0.63 (define @t127 () (>= @t125 @t121)) % 0.41/0.63 (define @t128 () (>= @t60 0)) % 0.41/0.63 (define @t129 () (>= @t65 0)) % 0.41/0.63 (define @t130 () (* -2 0)) % 0.41/0.63 (define @t131 () (+ @t78 0 @t120 @t130)) % 0.41/0.63 (define @t132 () (* -2 @t60)) % 0.41/0.63 (define @t133 () (+ @t132 @t63 @t60 @t60 @t64 @t80)) % 0.41/0.63 (define @t134 () (+ (* -1 @t65) @t97 @t124 @t132)) % 0.41/0.63 (define @t135 () (< -2 0)) % 0.41/0.63 (define @t136 () (not @t128)) % 0.41/0.63 (define @t137 () (not @t129)) % 0.41/0.63 (define @t138 () (or @t129 @t118)) % 0.41/0.63 (define @t139 () (>= @t97 0)) % 0.41/0.63 (define @t140 () (not @t139)) % 0.41/0.63 (define @t141 () (+ 0 @t130 @t78)) % 0.41/0.63 (define @t142 () (+ @t132 @t60 @t60 @t80)) % 0.41/0.63 (define @t143 () (+ @t97 @t132 @t84)) % 0.41/0.63 (define @t144 () (>= @t143 @t141)) % 0.41/0.63 (define @t145 () (@list false false)) % 0.41/0.63 (define @t146 () (+ 1 @t120 @t120)) % 0.41/0.63 (define @t147 () (>= @t125 @t146)) % 0.41/0.63 (define @t148 () (and @t61 @t129 @t70 @t112)) % 0.41/0.63 (define @t149 () (= false true)) % 0.41/0.63 (assume @p1 @t19) % 0.41/0.63 (assume @p2 true) % 0.41/0.63 (step @p3 :rule refl :args (@t5)) % 0.41/0.63 (step @p4 :rule aci_norm :args ((= (and (and @t31 @t29 @t27) (and @t24 @t22)) (and @t31 @t29 @t27 @t24 @t22)))) % 0.41/0.63 (step @p5 :rule alpha_equiv :args (@t36 @t37 (@list @t20))) % 0.41/0.63 (step @p6 :rule alpha_equiv :args (@t39 @t37 (@list @t23))) % 0.41/0.63 (step @p7 :rule nary_cong :premises (@p6 @p5) :args (@t40)) % 0.41/0.63 (step @p8 :rule quant-miniscope-and :args ((= (forall @t4 (and @t38 @t35)) @t40))) % 0.41/0.63 (step @p9 :rule trans :premises (@p8 @p7)) % 0.41/0.63 (step @p10 :rule arith_poly_norm :args ((= (* 1 (- @t2 @t41)) (* 1 (- @t1 @t32))))) % 0.41/0.63 (step @p11 :rule arith_poly_norm_rel :premises (@p10) :args ((= (= @t2 @t41) @t33))) % 0.41/0.63 (step @p12 :rule arith_poly_norm :args ((= @t6 @t41))) % 0.41/0.63 (step @p13 :rule refl :args (@t2)) % 0.41/0.63 (step @p14 :rule cong :premises (@p13 @p12) :args (@t7)) % 0.41/0.63 (step @p15 :rule trans :premises (@p14 @p11)) % 0.41/0.63 (step @p16 :rule arith_poly_norm :args ((= (* 1 (- @t2 @t1)) (* -1 (- @t1 @t2))))) % 0.41/0.63 (step @p17 :rule arith_poly_norm_rel :premises (@p16) :args ((= @t8 @t34))) % 0.41/0.63 (step @p18 :rule nary_cong :premises (@p17 @p15) :args (@t9)) % 0.41/0.63 (step @p19 :rule arith-elim-leq :args (0 @t2)) % 0.41/0.63 (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t10)) % 0.41/0.63 (step @p21 :rule cong :premises (@p20) :args (@t11)) % 0.41/0.63 (step @p22 :rule trans :premises (@p21 @p9)) % 0.41/0.63 (step @p23 :rule alpha_equiv :args (@t47 @t37 (@list @t25))) % 0.41/0.63 (step @p24 :rule alpha_equiv :args (@t49 @t37 (@list @t28))) % 0.41/0.63 (step @p25 :rule alpha_equiv :args (@t52 @t37 (@list @t30))) % 0.41/0.63 (step @p26 :rule nary_cong :premises (@p25 @p24 @p23) :args (@t53)) % 0.41/0.63 (step @p27 :rule quant-miniscope-and :args ((= (forall @t4 (and @t51 @t48 @t46)) @t53))) % 0.41/0.63 (step @p28 :rule trans :premises (@p27 @p26)) % 0.41/0.63 (step @p29 :rule arith_poly_norm :args ((= (* -1 (- @t3 @t54)) (* -1 (- @t42 1))))) % 0.41/0.63 (step @p30 :rule arith_poly_norm_rel :premises (@p29) :args ((= @t55 @t43))) % 0.41/0.63 (step @p31 :rule cong :premises (@p30) :args ((not @t55))) % 0.41/0.63 (step @p32 :rule arith-leq-norm :args (@t3 @t41)) % 0.41/0.63 (step @p33 :rule trans :premises (@p32 @p31)) % 0.41/0.63 (step @p34 :rule refl :args (@t3)) % 0.41/0.63 (step @p35 :rule cong :premises (@p34 @p12) :args (@t12)) % 0.41/0.63 (step @p36 :rule trans :premises (@p35 @p33)) % 0.41/0.63 (step @p37 :rule arith_poly_norm :args ((= (* 1 (- @t1 @t3)) (* 1 (- @t44 0))))) % 0.41/0.63 (step @p38 :rule arith_poly_norm_rel :premises (@p37) :args ((= (>= @t1 @t3) @t45))) % 0.41/0.63 (step @p39 :rule arith-elim-leq :args (@t3 @t1)) % 0.41/0.63 (step @p40 :rule trans :premises (@p39 @p38)) % 0.41/0.63 (step @p41 :rule nary_cong :premises (@p40 @p36) :args (@t13)) % 0.41/0.63 (step @p42 :rule arith_poly_norm :args ((= (* 1 (- @t3 @t41)) (* 1 (- @t42 0))))) % 0.41/0.63 (step @p43 :rule arith_poly_norm_rel :premises (@p42) :args ((= (>= @t3 @t41) @t48))) % 0.41/0.63 (step @p44 :rule arith-elim-leq :args (@t41 @t3)) % 0.41/0.63 (step @p45 :rule trans :premises (@p44 @p43)) % 0.41/0.63 (step @p46 :rule cong :premises (@p12 @p34) :args (@t14)) % 0.41/0.63 (step @p47 :rule trans :premises (@p46 @p45)) % 0.41/0.63 (step @p48 :rule arith_poly_norm :args ((= (* -1 (- @t1 @t56)) (* -1 (- @t44 1))))) % 0.41/0.63 (step @p49 :rule arith_poly_norm_rel :premises (@p48) :args ((= @t57 @t50))) % 0.41/0.63 (step @p50 :rule cong :premises (@p49) :args ((not @t57))) % 0.41/0.63 (step @p51 :rule arith-leq-norm :args (@t1 @t3)) % 0.41/0.63 (step @p52 :rule trans :premises (@p51 @p50)) % 0.41/0.63 (step @p53 :rule nary_cong :premises (@p52 @p47 @p41) :args (@t15)) % 0.41/0.63 (step @p54 :rule cong :premises (@p53) :args (@t16)) % 0.41/0.63 (step @p55 :rule trans :premises (@p54 @p28)) % 0.41/0.63 (step @p56 :rule nary_cong :premises (@p55 @p22) :args (@t17)) % 0.41/0.63 (step @p57 :rule trans :premises (@p56 @p4)) % 0.41/0.63 (step @p58 :rule cong :premises (@p57 @p3) :args (@t18)) % 0.41/0.63 (step @p59 :rule cong :premises (@p58) :args (@t19)) % 0.41/0.63 (step @p60 :rule eq_resolve :premises (@p1 @p59)) % 0.41/0.63 (step @p61 :rule not_implies_elim2 :premises (@p60)) % 0.41/0.63 (step @p62 :rule skolemize :premises (@p61)) % 0.41/0.63 (step @p63 :rule not_implies_elim1 :premises (@p60)) % 0.41/0.63 (step @p64 :rule and_elim :premises (@p63) :args (0)) % 0.41/0.63 (step @p65 :rule instantiate :premises (@p64) :args (@t59)) % 0.41/0.63 (step @p66 :rule and_elim :premises (@p63) :args (4)) % 0.41/0.63 (step @p67 :rule instantiate :premises (@p66) :args (@t59)) % 0.41/0.63 (step @p68 :rule refl :args (@t62)) % 0.41/0.63 (step @p69 :rule bool-double-not-elim :args (@t66)) % 0.41/0.63 (step @p70 :rule bool-double-not-elim :args (@t69)) % 0.41/0.63 (step @p71 :rule nary_cong :premises (@p70 @p69 @p68) :args ((or @t73 @t71 @t62))) % 0.41/0.63 (assume-push @p429 @t70) % 0.41/0.63 (assume-push @p430 @t72) % 0.41/0.63 (assume-push @p431 @t61) % 0.41/0.63 (assume-push @p432 @t75) % 0.41/0.63 (step @p76 :rule evaluate :args (@t76)) % 0.41/0.63 (step @p77 :rule evaluate :args (@t77)) % 0.41/0.63 (step @p78 :rule evaluate :args ((+ 0 -1 1))) % 0.41/0.63 (step @p79 :rule refl :args (1)) % 0.41/0.63 (step @p80 :rule refl :args (-1)) % 0.41/0.63 (step @p81 :rule evaluate :args (@t78)) % 0.41/0.63 (step @p82 :rule nary_cong :premises (@p81 @p80 @p79) :args (@t79)) % 0.41/0.63 (step @p83 :rule trans :premises (@p82 @p78)) % 0.41/0.63 (step @p84 :rule arith_poly_norm :args ((= (+ @t64 0 @t63 0) 0))) % 0.41/0.63 (step @p85 :rule arith_poly_norm :args (@t81)) % 0.41/0.63 (step @p86 :rule refl :args (@t63)) % 0.41/0.63 (step @p87 :rule arith_poly_norm :args ((= @t82 0))) % 0.41/0.63 (step @p88 :rule refl :args (@t64)) % 0.41/0.63 (step @p89 :rule nary_cong :premises (@p88 @p87 @p86 @p85) :args (@t83)) % 0.41/0.63 (step @p90 :rule trans :premises (@p89 @p84)) % 0.41/0.63 (step @p91 :rule 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arith-elim-lt :args (@t143 @t141)) % 0.41/0.63 (step @p330 :rule trans :premises (@p329 @p328)) % 0.41/0.63 (step @p106 :rule arith_mult_neg :args (-1 @t75)) % 0.41/0.63 (step @p115 :rule arith_poly_norm :args (@t88)) % 0.41/0.63 (step @p116 :rule arith_poly_norm_rel :premises (@p115) :args (@t89)) % 0.41/0.63 (step @p117 :rule symm :premises (@p116)) % 0.41/0.63 (step @p331 :rule eq_resolve :premises (@p480 @p117)) % 0.41/0.63 (step @p107 :rule evaluate :args (@t87)) % 0.41/0.63 (step @p108 :rule true_elim :premises (@p107)) % 0.41/0.63 (step @p332 :rule and_intro :premises (@p108 @p331)) % 0.41/0.63 (step @p333 :rule modus_ponens :premises (@p332 @p106)) % 0.41/0.63 (step @p286 :rule arith_mult_neg :args (-2 @t128)) % 0.41/0.63 (step @p287 :rule evaluate :args (@t135)) % 0.41/0.63 (step @p288 :rule true_elim :premises (@p287)) % 0.41/0.63 (step @p289 :rule and_intro :premises (@p288 @p268)) % 0.41/0.63 (step @p290 :rule modus_ponens :premises (@p289 @p286)) % 0.41/0.63 (step @p334 :rule arith-elim-lt :args (@t97 0)) % 0.41/0.63 (step @p335 :rule symm :premises (@p334)) % 0.41/0.63 (step @p336 :rule eq_resolve :premises (@p481 @p335)) % 0.41/0.63 (step @p337 :rule arith_sum_ub :premises (@p336 @p290 @p333)) % 0.41/0.63 (step @p338 false :rule eq_resolve :premises (@p337 @p330)) % 0.41/0.63 (step-pop @p482 :rule scope :premises (@p338)) % 0.41/0.63 (step-pop @p483 :rule scope :premises (@p482)) % 0.41/0.63 (step-pop @p484 :rule scope :premises (@p483)) % 0.41/0.63 (step @p339 :rule process_scope :premises (@p484) :args (false)) % 0.41/0.63 (step @p343 :rule not_and :premises (@p339)) % 0.41/0.63 (step @p344 :rule eq_resolve :premises (@p343 @p314)) % 0.41/0.63 (step @p345 :rule chain_m_resolution :premises (@p344 @p268 @p311) :args (@t139 @t145 (@list @t128 @t61))) % 0.41/0.63 (step @p346 :rule refl :args (@t140)) % 0.41/0.63 (step @p347 :rule bool-double-not-elim :args (@t91)) % 0.41/0.63 (step @p348 :rule nary_cong :premises (@p228 @p347 @p346 @p227) :args ((or @t111 (not @t93) @t140 @t119))) % 0.41/0.63 (assume-push @p485 @t109) % 0.41/0.63 (assume-push @p486 @t93) % 0.41/0.63 (assume-push @p487 @t139) % 0.41/0.63 (assume-push @p488 @t118) % 0.41/0.63 (step @p76 :rule evaluate :args (@t76)) % 0.41/0.63 (step @p353 :rule evaluate :args ((>= 0 -1))) % 0.41/0.63 (step @p354 :rule evaluate :args ((+ 1 -1 -1))) % 0.41/0.63 (step @p234 :rule evaluate :args (@t120)) % 0.41/0.63 (step @p79 :rule refl :args (1)) % 0.41/0.63 (step @p355 :rule nary_cong :premises (@p79 @p234 @p234) :args (@t146)) % 0.41/0.63 (step @p356 :rule trans :premises (@p355 @p354)) % 0.41/0.63 (step @p237 :rule arith_poly_norm :args (@t122)) % 0.41/0.63 (step @p85 :rule arith_poly_norm :args (@t81)) % 0.41/0.63 (step @p152 :rule arith_poly_norm :args (@t102)) % 0.41/0.63 (step @p154 :rule refl :args (@t67)) % 0.41/0.63 (step @p153 :rule refl :args (@t60)) % 0.41/0.63 (step @p238 :rule nary_cong :premises (@p153 @p154 @p152 @p85) :args (@t123)) % 0.41/0.63 (step @p239 :rule trans :premises (@p238 @p237)) % 0.41/0.63 (step @p240 :rule arith_poly_norm :args (@t126)) % 0.41/0.63 (step @p241 :rule trans :premises (@p240 @p239)) % 0.41/0.63 (step @p357 :rule cong :premises (@p241 @p356) :args (@t147)) % 0.41/0.63 (step @p358 :rule trans :premises (@p357 @p353)) % 0.41/0.63 (step @p359 :rule cong :premises (@p358) :args ((not @t147))) % 0.41/0.63 (step @p360 :rule trans :premises (@p359 @p76)) % 0.41/0.63 (step @p361 :rule arith-elim-lt :args (@t125 @t146)) % 0.41/0.63 (step @p362 :rule trans :premises (@p361 @p360)) % 0.41/0.63 (step @p363 :rule arith_mult_neg :args (-1 (>= @t97 1))) % 0.41/0.63 (step @p173 :rule arith_poly_norm :args (@t106)) % 0.41/0.63 (step @p174 :rule arith_poly_norm_rel :premises (@p173) :args (@t107)) % 0.41/0.63 (step @p364 :rule cong :premises (@p174) :args ((not @t98))) % 0.41/0.63 (step @p365 :rule symm :premises (@p364)) % 0.41/0.63 (step @p366 :rule eq_resolve :premises (@p486 @p365)) % 0.41/0.63 (step @p367 :rule arith_trichotomy :premises (@p366 @p487)) % 0.41/0.63 (step @p368 :rule int_tight_lb :premises (@p367)) % 0.41/0.63 (step @p107 :rule evaluate :args (@t87)) % 0.41/0.63 (step @p108 :rule true_elim :premises (@p107)) % 0.41/0.63 (step @p369 :rule and_intro :premises (@p108 @p368)) % 0.41/0.63 (step @p370 :rule modus_ponens :premises (@p369 @p363)) % 0.41/0.63 (step @p252 :rule arith_mult_neg :args (-1 @t109)) % 0.41/0.63 (step @p371 :rule and_intro :premises (@p108 @p485)) % 0.41/0.63 (step @p372 :rule modus_ponens :premises (@p371 @p252)) % 0.41/0.63 (step @p255 :rule arith-elim-lt :args (@t94 1)) % 0.41/0.63 (step @p256 :rule symm :premises (@p255)) % 0.41/0.63 (step @p373 :rule eq_resolve :premises (@p488 @p256)) % 0.41/0.63 (step @p374 :rule arith_sum_ub :premises (@p373 @p372 @p370)) % 0.41/0.63 (step @p375 false :rule eq_resolve :premises (@p374 @p362)) % 0.41/0.63 (step-pop @p489 :rule scope :premises (@p375)) % 0.41/0.63 (step-pop @p490 :rule scope :premises (@p489)) % 0.41/0.63 (step-pop @p491 :rule scope :premises (@p490)) % 0.41/0.63 (step-pop @p492 :rule scope :premises (@p491)) % 0.41/0.63 (step @p376 :rule process_scope :premises (@p492) :args (false)) % 0.41/0.63 (step @p381 :rule not_and :premises (@p376)) % 0.41/0.63 (step @p382 :rule eq_resolve :premises (@p381 @p348)) % 0.41/0.63 (step @p383 :rule reordering :premises (@p382) :args ((or @t111 @t117 @t91 @t140))) % 0.41/0.63 (step @p384 :rule chain_m_resolution :premises (@p383 @p226 @p310 @p345) :args (@t117 (@list false true false) (@list @t109 @t91 @t139))) % 0.41/0.63 (step @p385 :rule chain_m_resolution :premises (@p309 @p384 @p307) :args (@t129 @t145 (@list @t117 @t138))) % 0.41/0.63 (step @p386 :rule refl :args (@t137)) % 0.41/0.63 (step @p387 :rule nary_cong :premises (@p197 @p69 @p386 @p68) :args ((or @t113 @t71 @t137 @t62))) % 0.41/0.63 (step @p388 :rule bool-impl-false1 :args (@t148)) % 0.41/0.63 (step @p389 :rule evaluate :args (@t149)) % 0.41/0.63 (step @p390 :rule refl :args (@t148)) % 0.41/0.63 (step @p391 :rule cong :premises (@p390 @p389) :args ((=> @t148 @t149))) % 0.41/0.63 (step @p392 :rule trans :premises (@p391 @p388)) % 0.41/0.63 (assume-push @p493 @t61) % 0.41/0.63 (assume-push @p494 @t129) % 0.41/0.63 (assume-push @p495 @t70) % 0.41/0.63 (assume-push @p496 @t112) % 0.41/0.63 (step @p397 :rule arith_poly_norm :args ((= (* 1 (- @t65 0)) (* 1 (- @t58 @t63))))) % 0.41/0.63 (step @p398 :rule arith_poly_norm_rel :premises (@p397) :args ((= (= @t65 0) (= @t58 @t63)))) % 0.41/0.63 (step @p99 :rule arith-elim-lt :args (@t65 1)) % 0.41/0.63 (step @p100 :rule symm :premises (@p99)) % 0.41/0.63 (step @p101 :rule eq_resolve :premises (@p65 @p100)) % 0.41/0.63 (step @p399 :rule int_tight_ub :premises (@p101)) % 0.41/0.63 (step @p400 :rule arith_trichotomy :premises (@p494 @p399)) % 0.41/0.63 (step @p401 :rule eq_resolve :premises (@p400 @p398)) % 0.41/0.63 (step @p402 :rule symm :premises (@p401)) % 0.41/0.63 (step @p403 :rule trans :premises (@p402 @p493)) % 0.41/0.63 (step @p404 :rule true_intro :premises (@p403)) % 0.41/0.63 (step @p405 :rule false_intro :premises (@p62)) % 0.41/0.63 (step @p406 :rule symm :premises (@p405)) % 0.41/0.63 (step @p407 :rule trans :premises (@p406 @p404)) % 0.41/0.63 (step-pop @p497 :rule scope :premises (@p407)) % 0.41/0.63 (step-pop @p498 :rule scope :premises (@p497)) % 0.41/0.63 (step-pop @p499 :rule scope :premises (@p498)) % 0.41/0.63 (step-pop @p500 :rule scope :premises (@p499)) % 0.41/0.63 (step @p408 :rule process_scope :premises (@p500) :args (@t149)) % 0.41/0.63 (step @p413 :rule eq_resolve :premises (@p408 @p392)) % 0.41/0.63 (assume-push @p501 @t112) % 0.41/0.63 (assume-push @p502 @t70) % 0.41/0.63 (assume-push @p503 @t129) % 0.41/0.63 (assume-push @p504 @t61) % 0.41/0.63 (step @p418 :rule and_intro :premises (@p504 @p503 @p65 @p62)) % 0.41/0.63 (step-pop @p505 :rule scope :premises (@p418)) % 0.41/0.63 (step-pop @p506 :rule scope :premises (@p505)) % 0.41/0.63 (step-pop @p507 :rule scope :premises (@p506)) % 0.41/0.63 (step-pop @p508 :rule scope :premises (@p507)) % 0.41/0.63 (step @p419 :rule process_scope :premises (@p508) :args (@t148)) % 0.41/0.63 (step @p424 :rule implies_elim :premises (@p419)) % 0.41/0.63 (step @p425 :rule resolution :premises (@p424 @p413) :args (true @t148)) % 0.41/0.63 (step @p426 :rule not_and :premises (@p425)) % 0.41/0.63 (step @p427 :rule eq_resolve :premises (@p426 @p387)) % 0.41/0.63 (step @p428 false :rule chain_m_resolution :premises (@p427 @p385 @p311 @p65 @p62) :args (false (@list false false true true) (@list @t129 @t61 @t66 @t110))) % 0.41/0.63 ) % 0.41/0.63 % SZS output end Proof % 0.41/0.63 % cvc5 exiting %------------------------------------------------------------------------------