%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW678_1 : TPTP v9.2.1. Released v6.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 09:05:28 AM UTC 2026 % Result : Theorem 0.53s 0.74s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW678_1 : TPTP v9.2.1. Released v6.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n029.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 22:23:47 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_ARI % 0.53/0.74 --- Run --finite-model-find --decision=internal at 45... % 0.53/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.53/0.74 % SZS status Theorem % 0.53/0.74 % SZS output start Proof % 0.53/0.74 ( % 0.53/0.74 (declare-sort |tptp.'Tree'| 0) % 0.53/0.74 (declare-const tptp.searchtree (-> |tptp.'Tree'| Bool)) % 0.53/0.74 (declare-const |tptp.'empty:Tree'| |tptp.'Tree'|) % 0.53/0.74 (declare-const |tptp.'node:(Int*Tree*Tree)>Tree'| (-> Int |tptp.'Tree'| |tptp.'Tree'| |tptp.'Tree'|)) % 0.53/0.74 (declare-const |tptp.'val:(Tree)>Int'| (-> |tptp.'Tree'| Int)) % 0.53/0.74 (declare-const |tptp.'left:(Tree)>Tree'| (-> |tptp.'Tree'| |tptp.'Tree'|)) % 0.53/0.74 (declare-const tptp.in (-> Int |tptp.'Tree'| Bool)) % 0.53/0.74 (declare-const |tptp.'right:(Tree)>Tree'| (-> |tptp.'Tree'| |tptp.'Tree'|)) % 0.53/0.74 (define @t1 () (@var "X" |tptp.'Tree'|)) % 0.53/0.74 (define @t2 () (@var "X_1_0" Int)) % 0.53/0.74 (define @t3 () (@var "X_1_2" |tptp.'Tree'|)) % 0.53/0.74 (define @t4 () (@var "X_1_1" |tptp.'Tree'|)) % 0.53/0.74 (define @t5 () (|tptp.'node:(Int*Tree*Tree)>Tree'| @t2 @t4 @t3)) % 0.53/0.74 (define @t6 () (@list @t2 @t4 @t3)) % 0.53/0.74 (define @t7 () (@var "T" |tptp.'Tree'|)) % 0.53/0.74 (define @t8 () (|tptp.'right:(Tree)>Tree'| @t7)) % 0.53/0.74 (define @t9 () (@var "V" Int)) % 0.53/0.74 (define @t10 () (tptp.in @t9 @t8)) % 0.53/0.74 (define @t11 () (|tptp.'left:(Tree)>Tree'| @t7)) % 0.53/0.74 (define @t12 () (tptp.in @t9 @t11)) % 0.53/0.74 (define @t13 () (|tptp.'val:(Tree)>Int'| @t7)) % 0.53/0.74 (define @t14 () (= @t9 @t13)) % 0.53/0.74 (define @t15 () (or @t14 @t12 @t10)) % 0.53/0.74 (define @t16 () (= @t7 |tptp.'empty:Tree'|)) % 0.53/0.74 (define @t17 () (not @t16)) % 0.53/0.74 (define @t18 () (=> @t17 @t15)) % 0.53/0.74 (define @t19 () (=> @t16 false)) % 0.53/0.74 (define @t20 () (and @t19 @t18)) % 0.53/0.74 (define @t21 () (tptp.in @t9 @t7)) % 0.53/0.74 (define @t22 () (= @t21 @t20)) % 0.53/0.74 (define @t23 () (@list @t9 @t7)) % 0.53/0.74 (define @t24 () (forall @t23 @t22)) % 0.53/0.74 (define @t25 () (=> @t10 (> @t9 @t13))) % 0.53/0.74 (define @t26 () (@list @t9)) % 0.53/0.74 (define @t27 () (forall @t26 @t25)) % 0.53/0.74 (define @t28 () (<= @t9 @t13)) % 0.53/0.74 (define @t29 () (=> @t12 @t28)) % 0.53/0.74 (define @t30 () (forall @t26 @t29)) % 0.53/0.74 (define @t31 () (tptp.searchtree @t8)) % 0.53/0.74 (define @t32 () (tptp.searchtree @t11)) % 0.53/0.74 (define @t33 () (and @t32 @t31 @t30 @t27)) % 0.53/0.74 (define @t34 () (=> @t17 @t33)) % 0.53/0.74 (define @t35 () (and (=> @t16 true) @t34)) % 0.53/0.74 (define @t36 () (tptp.searchtree @t7)) % 0.53/0.74 (define @t37 () (= @t36 @t35)) % 0.53/0.74 (define @t38 () (@list @t7)) % 0.53/0.74 (define @t39 () (forall @t38 @t37)) % 0.53/0.74 (define @t40 () (@var "T_5" |tptp.'Tree'|)) % 0.53/0.74 (define @t41 () (tptp.in @t9 @t40)) % 0.53/0.74 (define @t42 () (= @t40 @t8)) % 0.53/0.74 (define @t43 () (and @t42 @t41)) % 0.53/0.74 (define @t44 () (@list @t40)) % 0.53/0.74 (define @t45 () (exists @t44 @t43)) % 0.53/0.74 (define @t46 () (< @t9 @t13)) % 0.53/0.74 (define @t47 () (not @t46)) % 0.53/0.74 (define @t48 () (=> @t47 @t45)) % 0.53/0.74 (define @t49 () (@var "T_3" |tptp.'Tree'|)) % 0.53/0.74 (define @t50 () (tptp.in @t9 @t49)) % 0.53/0.74 (define @t51 () (= @t49 @t11)) % 0.53/0.74 (define @t52 () (and @t51 @t50)) % 0.53/0.74 (define @t53 () (@list @t49)) % 0.53/0.74 (define @t54 () (exists @t53 @t52)) % 0.53/0.74 (define @t55 () (=> @t46 @t54)) % 0.53/0.74 (define @t56 () (and @t55 @t48)) % 0.53/0.74 (define @t57 () (not @t14)) % 0.53/0.74 (define @t58 () (=> @t57 @t56)) % 0.53/0.74 (define @t59 () (and (=> @t14 true) @t58)) % 0.53/0.74 (define @t60 () (=> @t17 @t59)) % 0.53/0.74 (define @t61 () (and @t19 @t60)) % 0.53/0.74 (define @t62 () (=> @t36 (= @t61 @t21))) % 0.53/0.74 (define @t63 () (@list @t7 @t9)) % 0.53/0.74 (define @t64 () (forall @t63 @t62)) % 0.53/0.74 (define @t65 () (not @t64)) % 0.53/0.74 (define @t66 () (= |tptp.'empty:Tree'| @t7)) % 0.53/0.74 (define @t67 () (not @t66)) % 0.53/0.74 (define @t68 () (not @t67)) % 0.53/0.74 (define @t69 () (and @t67 (=> @t67 @t15))) % 0.53/0.74 (define @t70 () (= @t21 @t69)) % 0.53/0.74 (define @t71 () (+ @t9 (* -1 @t13))) % 0.53/0.74 (define @t72 () (>= @t71 0)) % 0.53/0.74 (define @t73 () (not @t72)) % 0.53/0.74 (define @t74 () (and (or @t72 @t12) (or @t73 @t10))) % 0.53/0.74 (define @t75 () (or @t66 @t14 @t74)) % 0.53/0.74 (define @t76 () (not @t36)) % 0.53/0.74 (define @t77 () (forall @t63 (or @t76 (= @t21 (and @t67 @t75))))) % 0.53/0.74 (define @t78 () (@quantifiers_skolemize @t77 0)) % 0.53/0.74 (define @t79 () (@quantifiers_skolemize @t77 1)) % 0.53/0.74 (define @t80 () (|tptp.'val:(Tree)>Int'| @t78)) % 0.53/0.74 (define @t81 () (* -1 @t80)) % 0.53/0.74 (define @t82 () (+ @t79 @t81)) % 0.53/0.74 (define @t83 () (>= @t82 1)) % 0.53/0.74 (define @t84 () (= @t79 @t80)) % 0.53/0.74 (define @t85 () (>= @t82 0)) % 0.53/0.74 (define @t86 () (not @t85)) % 0.53/0.74 (define @t87 () (not @t83)) % 0.53/0.74 (define @t88 () (not @t84)) % 0.53/0.74 (define @t89 () (+ 0 1)) % 0.53/0.74 (define @t90 () (>= @t82 @t89)) % 0.53/0.74 (define @t91 () (* 1 (- @t79 @t80))) % 0.53/0.74 (define @t92 () (* 1 (- @t82 0))) % 0.53/0.74 (define @t93 () (= @t82 0)) % 0.53/0.74 (define @t94 () (and @t87 @t88 @t85)) % 0.53/0.74 (define @t95 () (>= @t71 1)) % 0.53/0.74 (define @t96 () (not @t10)) % 0.53/0.74 (define @t97 () (not @t95)) % 0.53/0.74 (define @t98 () (not @t12)) % 0.53/0.74 (define @t99 () (and @t32 @t31 (forall @t26 (or @t98 @t97)) (forall @t26 (or @t96 @t95)))) % 0.53/0.74 (define @t100 () (=> @t67 @t99)) % 0.53/0.74 (define @t101 () (= @t36 @t100)) % 0.53/0.74 (define @t102 () (+ @t13 1)) % 0.53/0.74 (define @t103 () (>= @t9 @t102)) % 0.53/0.74 (define @t104 () (and (=> @t73 @t12) (=> @t72 @t10))) % 0.53/0.74 (define @t105 () (=> @t57 @t104)) % 0.53/0.74 (define @t106 () (and @t67 (=> @t67 @t105))) % 0.53/0.74 (define @t107 () (= @t21 @t106)) % 0.53/0.74 (define @t108 () (not (= @t8 @t8))) % 0.53/0.74 (define @t109 () (or @t108 @t96)) % 0.53/0.74 (define @t110 () (not @t41)) % 0.53/0.74 (define @t111 () (= @t8 @t40)) % 0.53/0.74 (define @t112 () (not @t111)) % 0.53/0.74 (define @t113 () (or @t112 @t112 @t110)) % 0.53/0.74 (define @t114 () (or @t112 @t110)) % 0.53/0.74 (define @t115 () (and @t111 @t41)) % 0.53/0.74 (define @t116 () (forall @t44 (not @t115))) % 0.53/0.74 (define @t117 () (not @t116)) % 0.53/0.74 (define @t118 () (>= @t9 @t13)) % 0.53/0.74 (define @t119 () (not (= @t11 @t11))) % 0.53/0.74 (define @t120 () (or @t119 @t98)) % 0.53/0.74 (define @t121 () (not @t50)) % 0.53/0.74 (define @t122 () (= @t11 @t49)) % 0.53/0.74 (define @t123 () (not @t122)) % 0.53/0.74 (define @t124 () (or @t123 @t123 @t121)) % 0.53/0.74 (define @t125 () (or @t123 @t121)) % 0.53/0.74 (define @t126 () (and @t122 @t50)) % 0.53/0.74 (define @t127 () (forall @t53 (not @t126))) % 0.53/0.74 (define @t128 () (not @t127)) % 0.53/0.74 (define @t129 () (tptp.searchtree @t78)) % 0.53/0.74 (define @t130 () (|tptp.'right:(Tree)>Tree'| @t78)) % 0.53/0.74 (define @t131 () (tptp.in @t79 @t130)) % 0.53/0.74 (define @t132 () (or @t86 @t131)) % 0.53/0.74 (define @t133 () (|tptp.'left:(Tree)>Tree'| @t78)) % 0.53/0.74 (define @t134 () (tptp.in @t79 @t133)) % 0.53/0.74 (define @t135 () (or @t85 @t134)) % 0.53/0.74 (define @t136 () (and @t135 @t132)) % 0.53/0.74 (define @t137 () (= |tptp.'empty:Tree'| @t78)) % 0.53/0.74 (define @t138 () (or @t137 @t84 @t136)) % 0.53/0.74 (define @t139 () (not @t137)) % 0.53/0.74 (define @t140 () (and @t139 @t138)) % 0.53/0.74 (define @t141 () (tptp.in @t79 @t78)) % 0.53/0.74 (define @t142 () (= @t141 @t140)) % 0.53/0.74 (define @t143 () (not @t129)) % 0.53/0.74 (define @t144 () (or @t143 @t142)) % 0.53/0.74 (define @t145 () (@list true)) % 0.53/0.74 (define @t146 () (@list @t144)) % 0.53/0.74 (define @t147 () (>= (+ @t9 @t81) 1)) % 0.53/0.74 (define @t148 () (forall @t26 (or (not (tptp.in @t9 @t130)) @t147))) % 0.53/0.74 (define @t149 () (forall @t26 (or (not (tptp.in @t9 @t133)) (not @t147)))) % 0.53/0.74 (define @t150 () (and (tptp.searchtree @t133) (tptp.searchtree @t130) @t149 @t148)) % 0.53/0.74 (define @t151 () (or @t137 @t150)) % 0.53/0.74 (define @t152 () (= @t129 @t151)) % 0.53/0.74 (define @t153 () (not @t140)) % 0.53/0.74 (define @t154 () (or @t137 @t84 @t134 @t131)) % 0.53/0.74 (define @t155 () (and @t139 @t154)) % 0.53/0.74 (define @t156 () (not @t155)) % 0.53/0.74 (define @t157 () (= @t141 @t155)) % 0.53/0.74 (define @t158 () (not @t157)) % 0.53/0.74 (define @t159 () (not @t141)) % 0.53/0.74 (define @t160 () (@list true false)) % 0.53/0.74 (define @t161 () (not @t150)) % 0.53/0.74 (define @t162 () (@list false)) % 0.53/0.74 (define @t163 () (@list @t150)) % 0.53/0.74 (define @t164 () (@list @t79)) % 0.53/0.74 (define @t165 () (not @t131)) % 0.53/0.74 (define @t166 () (or @t165 @t83)) % 0.53/0.74 (define @t167 () (not @t154)) % 0.53/0.74 (define @t168 () (not @t136)) % 0.53/0.74 (define @t169 () (not @t138)) % 0.53/0.74 (define @t170 () (not @t134)) % 0.53/0.74 (define @t171 () (not @t139)) % 0.53/0.74 (define @t172 () (>= @t79 @t80)) % 0.53/0.74 (define @t173 () (+ @t80 1)) % 0.53/0.74 (define @t174 () (>= @t79 @t173)) % 0.53/0.74 (define @t175 () (<= @t79 @t80)) % 0.53/0.74 (define @t176 () (not @t172)) % 0.53/0.74 (define @t177 () (not @t175)) % 0.53/0.74 (define @t178 () (+ @t81 @t80)) % 0.53/0.74 (define @t179 () (+ (* -1 @t79) @t79)) % 0.53/0.74 (define @t180 () (>= @t179 @t178)) % 0.53/0.74 (define @t181 () (or @t170 @t87)) % 0.53/0.74 (define @t182 () (@list @t84)) % 0.53/0.74 (assume @p1 (forall (@list @t1) (or (= @t1 |tptp.'empty:Tree'|) (= @t1 (|tptp.'node:(Int*Tree*Tree)>Tree'| (|tptp.'val:(Tree)>Int'| @t1) (|tptp.'left:(Tree)>Tree'| @t1) (|tptp.'right:(Tree)>Tree'| @t1)))))) % 0.53/0.74 (assume @p2 (forall @t6 (= (|tptp.'val:(Tree)>Int'| @t5) @t2))) % 0.53/0.74 (assume @p3 (forall @t6 (= (|tptp.'left:(Tree)>Tree'| @t5) @t4))) % 0.53/0.74 (assume @p4 (forall @t6 (= (|tptp.'right:(Tree)>Tree'| @t5) @t3))) % 0.53/0.74 (assume @p5 (forall @t6 (not (= |tptp.'empty:Tree'| @t5)))) % 0.53/0.74 (assume @p6 @t24) % 0.53/0.74 (assume @p7 @t39) % 0.53/0.74 (assume @p8 @t65) % 0.53/0.74 (assume @p9 true) % 0.53/0.74 (step @p10 :rule aci_norm :args ((= (or @t66 @t15) (or @t66 @t14 @t12 @t10)))) % 0.53/0.74 (step @p11 :rule refl :args (@t15)) % 0.53/0.74 (step @p12 :rule bool-double-not-elim :args (@t66)) % 0.53/0.74 (step @p13 :rule nary_cong :premises (@p12 @p11) :args ((or @t68 @t15))) % 0.53/0.74 (step @p14 :rule bool-impl-elim :args (@t67 @t15)) % 0.53/0.74 (step @p15 :rule trans :premises (@p14 @p13)) % 0.53/0.74 (step @p16 :rule trans :premises (@p15 @p10)) % 0.53/0.74 (step @p17 :rule refl :args (@t67)) % 0.53/0.74 (step @p18 :rule nary_cong :premises (@p17 @p16) :args (@t69)) % 0.53/0.74 (step @p19 :rule refl :args (@t21)) % 0.53/0.74 (step @p20 :rule cong :premises (@p19 @p18) :args (@t70)) % 0.53/0.74 (step @p21 :rule cong :premises (@p20) :args ((forall @t23 @t70))) % 0.53/0.74 (step @p22 :rule refl :args (@t15)) % 0.53/0.74 (step @p23 :rule eq-symm :args (@t7 |tptp.'empty:Tree'|)) % 0.53/0.74 (step @p24 :rule cong :premises (@p23) :args (@t17)) % 0.53/0.74 (step @p25 :rule cong :premises (@p24 @p22) :args (@t18)) % 0.53/0.74 (step @p26 :rule bool-impl-false1 :args (@t16)) % 0.53/0.74 (step @p27 :rule trans :premises (@p26 @p24)) % 0.53/0.74 (step @p28 :rule nary_cong :premises (@p27 @p25) :args (@t20)) % 0.53/0.74 (step @p29 :rule refl :args (@t21)) % 0.53/0.74 (step @p30 :rule cong :premises (@p29 @p28) :args (@t22)) % 0.53/0.74 (step @p31 :rule cong :premises (@p30) :args (@t24)) % 0.53/0.74 (step @p32 :rule trans :premises (@p31 @p21)) % 0.53/0.74 (step @p33 :rule eq_resolve :premises (@p6 @p32)) % 0.53/0.74 (step @p34 :rule instantiate :premises (@p33) :args ((@list @t79 @t78))) % 0.53/0.74 (step @p35 :rule bool-double-not-elim :args (@t83)) % 0.53/0.74 (step @p36 :rule bool-double-not-elim :args (@t84)) % 0.53/0.74 (step @p37 :rule refl :args (@t86)) % 0.53/0.74 (step @p38 :rule nary_cong :premises (@p37 @p36 @p35) :args ((or @t86 (not @t88) (not @t87)))) % 0.53/0.74 (assume-push @p410 @t87) % 0.53/0.74 (assume-push @p411 @t88) % 0.53/0.74 (assume-push @p412 @t85) % 0.53/0.74 (step @p42 :rule evaluate :args (@t89)) % 0.53/0.74 (step @p43 :rule refl :args (@t82)) % 0.53/0.74 (step @p44 :rule cong :premises (@p43 @p42) :args (@t90)) % 0.53/0.74 (step @p45 :rule cong :premises (@p44) :args ((not @t90))) % 0.53/0.74 (step @p46 :rule arith-leq-norm :args (@t82 0)) % 0.53/0.74 (step @p47 :rule trans :premises (@p46 @p45)) % 0.53/0.74 (step @p48 :rule cong :premises (@p47) :args ((not (<= @t82 0)))) % 0.53/0.74 (step @p49 :rule trans :premises (@p48 @p35)) % 0.53/0.74 (step @p50 :rule arith-elim-leq :args (@t82 0)) % 0.53/0.74 (step @p51 :rule symm :premises (@p50)) % 0.53/0.74 (step @p52 :rule cong :premises (@p51) :args ((not (>= 0 @t82)))) % 0.53/0.74 (step @p53 :rule arith-elim-gt :args (@t82 0)) % 0.53/0.74 (step @p54 :rule trans :premises (@p53 @p52)) % 0.53/0.74 (step @p55 :rule trans :premises (@p54 @p49)) % 0.53/0.74 (step @p56 :rule cong :premises (@p55) :args ((not (> @t82 0)))) % 0.53/0.74 (step @p57 :rule symm :premises (@p56)) % 0.53/0.74 (step @p58 :rule trans :premises (@p47 @p57)) % 0.53/0.74 (step @p59 :rule arith-elim-lt :args (@t82 1)) % 0.53/0.74 (step @p60 :rule symm :premises (@p59)) % 0.53/0.74 (step @p61 :rule eq_resolve :premises (@p410 @p60)) % 0.53/0.74 (step @p62 :rule int_tight_ub :premises (@p61)) % 0.53/0.74 (step @p63 :rule eq_resolve :premises (@p62 @p58)) % 0.53/0.74 (step @p64 :rule arith_poly_norm :args ((= @t92 @t91))) % 0.53/0.74 (step @p65 :rule arith_poly_norm_rel :premises (@p64) :args ((= @t93 @t84))) % 0.53/0.74 (step @p66 :rule cong :premises (@p65) :args ((not @t93))) % 0.53/0.74 (step @p67 :rule symm :premises (@p66)) % 0.53/0.74 (step @p68 :rule eq_resolve :premises (@p411 @p67)) % 0.53/0.74 (step @p69 :rule arith_trichotomy :premises (@p68 @p412)) % 0.53/0.74 (step @p70 false :rule contra :premises (@p69 @p63)) % 0.53/0.74 (step-pop @p413 :rule scope :premises (@p70)) % 0.53/0.74 (step-pop @p414 :rule scope :premises (@p413)) % 0.53/0.74 (step-pop @p415 :rule scope :premises (@p414)) % 0.53/0.74 (step @p71 :rule process_scope :premises (@p415) :args (false)) % 0.53/0.74 (assume-push @p416 @t85) % 0.53/0.74 (assume-push @p417 @t88) % 0.53/0.74 (assume-push @p418 @t87) % 0.53/0.74 (step @p78 :rule and_intro :premises (@p418 @p417 @p416)) % 0.53/0.74 (step-pop @p419 :rule scope :premises (@p78)) % 0.53/0.74 (step-pop @p420 :rule scope :premises (@p419)) % 0.53/0.74 (step-pop @p421 :rule scope :premises (@p420)) % 0.53/0.74 (step @p79 :rule process_scope :premises (@p421) :args (@t94)) % 0.53/0.74 (step @p83 :rule implies_elim :premises (@p79)) % 0.53/0.74 (step @p84 :rule resolution :premises (@p83 @p71) :args (true @t94)) % 0.53/0.74 (step @p85 :rule not_and :premises (@p84)) % 0.53/0.74 (step @p86 :rule eq_resolve :premises (@p85 @p38)) % 0.53/0.74 (step @p87 :rule reordering :premises (@p86) :args ((or @t84 @t86 @t83))) % 0.53/0.74 (step @p88 :rule refl :args (@t99)) % 0.53/0.74 (step @p89 :rule nary_cong :premises (@p12 @p88) :args ((or @t68 @t99))) % 0.53/0.74 (step @p90 :rule bool-impl-elim :args (@t67 @t99)) % 0.53/0.74 (step @p91 :rule trans :premises (@p90 @p89)) % 0.53/0.74 (step @p92 :rule refl :args (@t36)) % 0.53/0.74 (step @p93 :rule cong :premises (@p92 @p91) :args (@t101)) % 0.53/0.74 (step @p94 :rule cong :premises (@p93) :args ((forall @t38 @t101))) % 0.53/0.74 (step @p95 :rule aci_norm :args ((= (and true @t100) @t100))) % 0.53/0.74 (step @p96 :rule bool-impl-elim :args (@t10 @t95)) % 0.53/0.74 (step @p97 :rule cong :premises (@p96) :args ((forall @t26 (=> @t10 @t95)))) % 0.53/0.74 (step @p98 :rule bool-double-not-elim :args (@t95)) % 0.53/0.74 (step @p99 :rule arith_poly_norm :args ((= (* -1 (- @t9 @t102)) (* -1 (- @t71 1))))) % 0.53/0.74 (step @p100 :rule arith_poly_norm_rel :premises (@p99) :args ((= @t103 @t95))) % 0.53/0.74 (step @p101 :rule cong :premises (@p100) :args ((not @t103))) % 0.53/0.74 (step @p102 :rule arith-leq-norm :args (@t9 @t13)) % 0.53/0.74 (step @p103 :rule trans :premises (@p102 @p101)) % 0.53/0.74 (step @p104 :rule cong :premises (@p103) :args ((not @t28))) % 0.53/0.74 (step @p105 :rule trans :premises (@p104 @p98)) % 0.53/0.74 (step @p106 :rule arith-elim-leq :args (@t9 @t13)) % 0.53/0.74 (step @p107 :rule symm :premises (@p106)) % 0.53/0.74 (step @p108 :rule cong :premises (@p107) :args ((not (>= @t13 @t9)))) % 0.53/0.74 (step @p109 :rule arith-elim-gt :args (@t9 @t13)) % 0.53/0.74 (step @p110 :rule trans :premises (@p109 @p108)) % 0.53/0.74 (step @p111 :rule trans :premises (@p110 @p105)) % 0.53/0.74 (step @p112 :rule refl :args (@t10)) % 0.53/0.74 (step @p113 :rule cong :premises (@p112 @p111) :args (@t25)) % 0.53/0.74 (step @p114 :rule cong :premises (@p113) :args (@t27)) % 0.53/0.74 (step @p115 :rule trans :premises (@p114 @p97)) % 0.53/0.74 (step @p116 :rule bool-impl-elim :args (@t12 @t97)) % 0.53/0.74 (step @p117 :rule cong :premises (@p116) :args ((forall @t26 (=> @t12 @t97)))) % 0.53/0.74 (step @p118 :rule refl :args (@t12)) % 0.53/0.74 (step @p119 :rule cong :premises (@p118 @p103) :args (@t29)) % 0.53/0.74 (step @p120 :rule cong :premises (@p119) :args (@t30)) % 0.53/0.74 (step @p121 :rule trans :premises (@p120 @p117)) % 0.53/0.74 (step @p122 :rule refl :args (@t31)) % 0.53/0.74 (step @p123 :rule refl :args (@t32)) % 0.53/0.74 (step @p124 :rule nary_cong :premises (@p123 @p122 @p121 @p115) :args (@t33)) % 0.53/0.74 (step @p125 :rule cong :premises (@p24 @p124) :args (@t34)) % 0.53/0.74 (step @p126 :rule bool-impl-true1 :args (@t16)) % 0.53/0.74 (step @p127 :rule nary_cong :premises (@p126 @p125) :args (@t35)) % 0.53/0.74 (step @p128 :rule trans :premises (@p127 @p95)) % 0.53/0.74 (step @p129 :rule refl :args (@t36)) % 0.53/0.74 (step @p130 :rule cong :premises (@p129 @p128) :args (@t37)) % 0.53/0.74 (step @p131 :rule cong :premises (@p130) :args (@t39)) % 0.53/0.74 (step @p132 :rule trans :premises (@p131 @p94)) % 0.53/0.74 (step @p133 :rule eq_resolve :premises (@p7 @p132)) % 0.53/0.74 (step @p134 :rule instantiate :premises (@p133) :args ((@list @t78))) % 0.53/0.74 (step @p135 :rule aci_norm :args ((= (or @t66 (or @t14 @t74)) @t75))) % 0.53/0.74 (step @p136 :rule bool-impl-elim :args (@t72 @t10)) % 0.53/0.74 (step @p137 :rule refl :args (@t12)) % 0.53/0.74 (step @p138 :rule bool-double-not-elim :args (@t72)) % 0.53/0.74 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or (not @t73) @t12))) % 0.53/0.74 (step @p140 :rule bool-impl-elim :args (@t73 @t12)) % 0.53/0.74 (step @p141 :rule trans :premises (@p140 @p139)) % 0.53/0.74 (step @p142 :rule nary_cong :premises (@p141 @p136) :args (@t104)) % 0.53/0.74 (step @p143 :rule refl :args (@t14)) % 0.53/0.74 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or @t14 @t104))) % 0.53/0.74 (step @p145 :rule refl :args (@t104)) % 0.53/0.74 (step @p146 :rule bool-double-not-elim :args (@t14)) % 0.53/0.74 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or (not @t57) @t104))) % 0.53/0.74 (step @p148 :rule bool-impl-elim :args (@t57 @t104)) % 0.53/0.74 (step @p149 :rule trans :premises (@p148 @p147)) % 0.53/0.74 (step @p150 :rule trans :premises (@p149 @p144)) % 0.53/0.74 (step @p151 :rule refl :args (@t66)) % 0.53/0.74 (step @p152 :rule nary_cong :premises (@p151 @p150) :args ((or @t66 @t105))) % 0.53/0.74 (step @p153 :rule trans :premises (@p152 @p135)) % 0.53/0.74 (step @p154 :rule refl :args (@t105)) % 0.53/0.74 (step @p155 :rule nary_cong :premises (@p12 @p154) :args ((or @t68 @t105))) % 0.53/0.74 (step @p156 :rule bool-impl-elim :args (@t67 @t105)) % 0.53/0.74 (step @p157 :rule trans :premises (@p156 @p155)) % 0.53/0.74 (step @p158 :rule trans :premises (@p157 @p153)) % 0.53/0.74 (step @p159 :rule nary_cong :premises (@p17 @p158) :args (@t106)) % 0.53/0.74 (step @p160 :rule cong :premises (@p19 @p159) :args (@t107)) % 0.53/0.74 (step @p161 :rule refl :args (@t76)) % 0.53/0.74 (step @p162 :rule nary_cong :premises (@p161 @p160) :args ((or @t76 @t107))) % 0.53/0.74 (step @p163 :rule bool-impl-elim :args (@t36 @t107)) % 0.53/0.74 (step @p164 :rule trans :premises (@p163 @p162)) % 0.53/0.74 (step @p165 :rule cong :premises (@p164) :args ((forall @t63 (=> @t36 @t107)))) % 0.53/0.74 (step @p166 :rule aci_norm :args ((= (and true @t105) @t105))) % 0.53/0.74 (step @p167 :rule bool-double-not-elim :args (@t10)) % 0.53/0.74 (step @p168 :rule aci_norm :args ((= (or false @t96) @t96))) % 0.53/0.74 (step @p169 :rule refl :args (@t96)) % 0.53/0.74 (step @p170 :rule evaluate :args ((not true))) % 0.53/0.74 (step @p171 :rule eq-refl :args (@t8)) % 0.53/0.74 (step @p172 :rule cong :premises (@p171) :args (@t108)) % 0.53/0.74 (step @p173 :rule trans :premises (@p172 @p170)) % 0.53/0.74 (step @p174 :rule nary_cong :premises (@p173 @p169) :args (@t109)) % 0.53/0.74 (step @p175 :rule trans :premises (@p174 @p168)) % 0.53/0.74 (step @p176 :rule quant-var-elim-eq :args ((= (forall @t44 (or (not @t42) @t112 @t110)) @t109))) % 0.53/0.74 (step @p177 :rule refl :args (@t110)) % 0.53/0.74 (step @p178 :rule refl :args (@t112)) % 0.53/0.74 (step @p179 :rule eq-symm :args (@t8 @t40)) % 0.53/0.74 (step @p180 :rule cong :premises (@p179) :args (@t112)) % 0.53/0.74 (step @p181 :rule nary_cong :premises (@p180 @p178 @p177) :args (@t113)) % 0.53/0.74 (step @p182 :rule aci_norm :args ((= @t114 @t113))) % 0.53/0.74 (step @p183 :rule trans :premises (@p182 @p181)) % 0.53/0.74 (step @p184 :rule cong :premises (@p183) :args ((forall @t44 @t114))) % 0.53/0.74 (step @p185 :rule trans :premises (@p184 @p176)) % 0.53/0.74 (step @p186 :rule trans :premises (@p185 @p175)) % 0.53/0.74 (step @p187 :rule bool-and-de-morgan :args (@t111 @t41 true)) % 0.53/0.74 (step @p188 :rule cong :premises (@p187) :args (@t116)) % 0.53/0.74 (step @p189 :rule trans :premises (@p188 @p186)) % 0.53/0.74 (step @p190 :rule cong :premises (@p189) :args (@t117)) % 0.53/0.74 (step @p191 :rule trans :premises (@p190 @p167)) % 0.53/0.74 (step @p192 :rule exists-elim :args ((= (exists @t44 @t115) @t117))) % 0.53/0.74 (step @p193 :rule trans :premises (@p192 @p191)) % 0.53/0.74 (step @p194 :rule refl :args (@t41)) % 0.53/0.74 (step @p195 :rule eq-symm :args (@t40 @t8)) % 0.53/0.74 (step @p196 :rule nary_cong :premises (@p195 @p194) :args (@t43)) % 0.53/0.74 (step @p197 :rule cong :premises (@p196) :args (@t45)) % 0.53/0.74 (step @p198 :rule trans :premises (@p197 @p193)) % 0.53/0.74 (step @p199 :rule arith_poly_norm :args ((= (* 1 (- @t9 @t13)) (* 1 (- @t71 0))))) % 0.53/0.74 (step @p200 :rule arith_poly_norm_rel :premises (@p199) :args ((= @t118 @t72))) % 0.53/0.74 (step @p201 :rule cong :premises (@p200) :args ((not @t118))) % 0.53/0.74 (step @p202 :rule arith-elim-lt :args (@t9 @t13)) % 0.53/0.74 (step @p203 :rule trans :premises (@p202 @p201)) % 0.53/0.74 (step @p204 :rule cong :premises (@p203) :args (@t47)) % 0.53/0.74 (step @p205 :rule trans :premises (@p204 @p138)) % 0.53/0.74 (step @p206 :rule cong :premises (@p205 @p198) :args (@t48)) % 0.53/0.74 (step @p207 :rule bool-double-not-elim :args (@t12)) % 0.53/0.74 (step @p208 :rule aci_norm :args ((= (or false @t98) @t98))) % 0.53/0.74 (step @p209 :rule refl :args (@t98)) % 0.53/0.74 (step @p210 :rule eq-refl :args (@t11)) % 0.53/0.74 (step @p211 :rule cong :premises (@p210) :args (@t119)) % 0.53/0.74 (step @p212 :rule trans :premises (@p211 @p170)) % 0.53/0.74 (step @p213 :rule nary_cong :premises (@p212 @p209) :args (@t120)) % 0.53/0.74 (step @p214 :rule trans :premises (@p213 @p208)) % 0.53/0.74 (step @p215 :rule quant-var-elim-eq :args ((= (forall @t53 (or (not @t51) @t123 @t121)) @t120))) % 0.53/0.74 (step @p216 :rule refl :args (@t121)) % 0.53/0.74 (step @p217 :rule refl :args (@t123)) % 0.53/0.74 (step @p218 :rule eq-symm :args (@t11 @t49)) % 0.53/0.74 (step @p219 :rule cong :premises (@p218) :args (@t123)) % 0.53/0.74 (step @p220 :rule nary_cong :premises (@p219 @p217 @p216) :args (@t124)) % 0.53/0.74 (step @p221 :rule aci_norm :args ((= @t125 @t124))) % 0.53/0.74 (step @p222 :rule trans :premises (@p221 @p220)) % 0.53/0.74 (step @p223 :rule cong :premises (@p222) :args ((forall @t53 @t125))) % 0.53/0.74 (step @p224 :rule trans :premises (@p223 @p215)) % 0.53/0.74 (step @p225 :rule trans :premises (@p224 @p214)) % 0.53/0.74 (step @p226 :rule bool-and-de-morgan :args (@t122 @t50 true)) % 0.53/0.74 (step @p227 :rule cong :premises (@p226) :args (@t127)) % 0.53/0.74 (step @p228 :rule trans :premises (@p227 @p225)) % 0.53/0.74 (step @p229 :rule cong :premises (@p228) :args (@t128)) % 0.53/0.74 (step @p230 :rule trans :premises (@p229 @p207)) % 0.53/0.74 (step @p231 :rule exists-elim :args ((= (exists @t53 @t126) @t128))) % 0.53/0.74 (step @p232 :rule trans :premises (@p231 @p230)) % 0.53/0.74 (step @p233 :rule refl :args (@t50)) % 0.53/0.74 (step @p234 :rule eq-symm :args (@t49 @t11)) % 0.53/0.74 (step @p235 :rule nary_cong :premises (@p234 @p233) :args (@t52)) % 0.53/0.74 (step @p236 :rule cong :premises (@p235) :args (@t54)) % 0.53/0.74 (step @p237 :rule trans :premises (@p236 @p232)) % 0.53/0.74 (step @p238 :rule cong :premises (@p203 @p237) :args (@t55)) % 0.53/0.74 (step @p239 :rule nary_cong :premises (@p238 @p206) :args (@t56)) % 0.53/0.74 (step @p240 :rule refl :args (@t57)) % 0.53/0.74 (step @p241 :rule cong :premises (@p240 @p239) :args (@t58)) % 0.53/0.74 (step @p242 :rule bool-impl-true1 :args (@t14)) % 0.53/0.74 (step @p243 :rule nary_cong :premises (@p242 @p241) :args (@t59)) % 0.53/0.74 (step @p244 :rule trans :premises (@p243 @p166)) % 0.53/0.74 (step @p245 :rule cong :premises (@p24 @p244) :args (@t60)) % 0.53/0.74 (step @p246 :rule nary_cong :premises (@p27 @p245) :args (@t61)) % 0.53/0.74 (step @p247 :rule cong :premises (@p29 @p246) :args ((= @t21 @t61))) % 0.53/0.74 (step @p248 :rule eq-symm :args (@t61 @t21)) % 0.53/0.74 (step @p249 :rule trans :premises (@p248 @p247)) % 0.53/0.74 (step @p250 :rule cong :premises (@p129 @p249) :args (@t62)) % 0.53/0.74 (step @p251 :rule cong :premises (@p250) :args (@t64)) % 0.53/0.74 (step @p252 :rule trans :premises (@p251 @p165)) % 0.53/0.74 (step @p253 :rule cong :premises (@p252) :args (@t65)) % 0.53/0.74 (step @p254 :rule eq_resolve :premises (@p8 @p253)) % 0.53/0.74 (step @p255 :rule skolemize :premises (@p254)) % 0.53/0.74 (step @p256 :rule bool-double-not-elim :args (@t129)) % 0.53/0.74 (step @p257 :rule refl :args (@t144)) % 0.53/0.74 (step @p258 :rule nary_cong :premises (@p257 @p256) :args ((or @t144 (not @t143)))) % 0.53/0.74 (step @p259 :rule cnf_or_neg :args (@t144 0)) % 0.53/0.74 (step @p260 :rule eq_resolve :premises (@p259 @p258)) % 0.53/0.74 (step @p261 :rule reordering :premises (@p260) :args ((or @t129 @t144))) % 0.53/0.74 (step @p262 :rule chain_m_resolution :premises (@p261 @p255) :args (@t129 @t145 @t146)) % 0.53/0.74 (step @p263 :rule cnf_equiv_pos1 :args (@t152)) % 0.53/0.74 (step @p264 :rule reordering :premises (@p263) :args ((or @t143 @t151 (not @t152)))) % 0.53/0.74 (step @p265 :rule chain_m_resolution :premises (@p264 @p262 @p134) :args (@t151 (@list false false) (@list @t129 @t152))) % 0.53/0.74 (step @p266 :rule cnf_and_pos :args (@t140 0)) % 0.53/0.74 (step @p267 :rule reordering :premises (@p266) :args ((or @t139 @t153))) % 0.53/0.74 (step @p268 :rule cnf_and_pos :args (@t155 0)) % 0.53/0.74 (step @p269 :rule reordering :premises (@p268) :args ((or @t139 @t156))) % 0.53/0.74 (step @p270 :rule cnf_or_neg :args (@t144 1)) % 0.53/0.74 (step @p271 :rule chain_m_resolution :premises (@p270 @p255) :args ((not @t142) @t145 @t146)) % 0.53/0.74 (step @p272 :rule cnf_equiv_neg1 :args (@t142)) % 0.53/0.74 (step @p273 :rule reordering :premises (@p272) :args ((or @t141 @t140 @t142))) % 0.53/0.74 (step @p274 :rule cnf_equiv_pos1 :args (@t157)) % 0.53/0.74 (step @p275 :rule reordering :premises (@p274) :args ((or @t159 @t155 @t158))) % 0.53/0.74 (step @p276 :rule chain_m_resolution :premises (@p275 @p34 @p273 @p271 @p269 @p267) :args (@t139 (@list false false true true true) (@list @t157 @t141 @t142 @t155 @t140))) % 0.53/0.74 (step @p277 :rule cnf_or_pos :args (@t151)) % 0.53/0.74 (step @p278 :rule reordering :premises (@p277) :args ((or @t137 @t150 (not @t151)))) % 0.53/0.74 (step @p279 :rule chain_m_resolution :premises (@p278 @p276 @p265) :args (@t150 @t160 (@list @t137 @t151))) % 0.53/0.74 (step @p280 :rule cnf_and_pos :args (@t150 3)) % 0.53/0.74 (step @p281 :rule reordering :premises (@p280) :args ((or @t148 @t161))) % 0.53/0.74 (step @p282 :rule chain_m_resolution :premises (@p281 @p279) :args (@t148 @t162 @t163)) % 0.53/0.74 (step @p283 :rule instantiate :premises (@p282) :args (@t164)) % 0.53/0.74 (step @p284 :rule cnf_or_pos :args (@t166)) % 0.53/0.74 (step @p285 :rule reordering :premises (@p284) :args ((or @t165 @t83 (not @t166)))) % 0.53/0.74 (step @p286 :rule bool-double-not-elim :args (@t85)) % 0.53/0.74 (step @p287 :rule refl :args (@t132)) % 0.53/0.74 (step @p288 :rule nary_cong :premises (@p287 @p286) :args ((or @t132 (not @t86)))) % 0.53/0.74 (step @p289 :rule cnf_or_neg :args (@t132 0)) % 0.53/0.74 (step @p290 :rule eq_resolve :premises (@p289 @p288)) % 0.53/0.74 (step @p291 :rule reordering :premises (@p290) :args ((or @t85 @t132))) % 0.53/0.74 (step @p292 :rule cnf_or_pos :args (@t135)) % 0.53/0.74 (step @p293 :rule reordering :premises (@p292) :args ((or @t85 @t134 (not @t135)))) % 0.53/0.74 (step @p294 :rule cnf_or_pos :args (@t154)) % 0.53/0.74 (step @p295 :rule reordering :premises (@p294) :args ((or @t137 @t84 @t134 @t131 @t167))) % 0.53/0.74 (step @p296 :rule cnf_and_pos :args (@t136 0)) % 0.53/0.74 (step @p297 :rule reordering :premises (@p296) :args ((or @t135 @t168))) % 0.53/0.74 (step @p298 :rule cnf_and_pos :args (@t155 1)) % 0.53/0.74 (step @p299 :rule reordering :premises (@p298) :args ((or @t154 @t156))) % 0.53/0.74 (step @p300 :rule cnf_or_pos :args (@t138)) % 0.53/0.74 (step @p301 :rule reordering :premises (@p300) :args ((or @t137 @t84 @t136 @t169))) % 0.53/0.74 (step @p302 :rule cnf_and_pos :args (@t140 1)) % 0.53/0.74 (step @p303 :rule reordering :premises (@p302) :args ((or @t138 @t153))) % 0.53/0.74 (step @p304 :rule chain_m_resolution :premises (@p273 @p271 @p303 @p275 @p34 @p301 @p276 @p299 @p297 @p295 @p276 @p293) :args ((or @t84 @t85 @t134 @t131) (@list true true true false true true true true true true true) (@list @t142 @t140 @t141 @t157 @t138 @t137 @t155 @t136 @t154 @t137 @t135))) % 0.53/0.74 (step @p305 :rule cnf_or_neg :args (@t135 1)) % 0.53/0.74 (step @p306 :rule cnf_or_neg :args (@t154 2)) % 0.53/0.74 (step @p307 :rule reordering :premises (@p306) :args ((or @t170 @t154))) % 0.53/0.74 (step @p308 :rule cnf_and_neg :args (@t136)) % 0.53/0.74 (step @p309 :rule refl :args (@t167)) % 0.53/0.74 (step @p310 :rule bool-double-not-elim :args (@t137)) % 0.53/0.74 (step @p311 :rule refl :args (@t155)) % 0.53/0.74 (step @p312 :rule nary_cong :premises (@p311 @p310 @p309) :args ((or @t155 @t171 @t167))) % 0.53/0.74 (step @p313 :rule cnf_and_neg :args (@t155)) % 0.53/0.74 (step @p314 :rule eq_resolve :premises (@p313 @p312)) % 0.53/0.74 (step @p315 :rule reordering :premises (@p314) :args ((or @t137 @t155 @t167))) % 0.53/0.74 (step @p316 :rule cnf_or_neg :args (@t138 2)) % 0.53/0.74 (step @p317 :rule cnf_equiv_pos2 :args (@t157)) % 0.53/0.74 (step @p318 :rule reordering :premises (@p317) :args ((or @t141 @t156 @t158))) % 0.53/0.74 (step @p319 :rule refl :args (@t169)) % 0.53/0.74 (step @p320 :rule refl :args (@t140)) % 0.53/0.74 (step @p321 :rule nary_cong :premises (@p320 @p310 @p319) :args ((or @t140 @t171 @t169))) % 0.53/0.74 (step @p322 :rule cnf_and_neg :args (@t140)) % 0.53/0.74 (step @p323 :rule eq_resolve :premises (@p322 @p321)) % 0.53/0.74 (step @p324 :rule reordering :premises (@p323) :args ((or @t137 @t140 @t169))) % 0.53/0.74 (step @p325 :rule cnf_equiv_neg2 :args (@t142)) % 0.53/0.74 (step @p326 :rule chain_m_resolution :premises (@p325 @p271 @p324 @p276 @p318 @p34 @p316 @p315 @p276 @p308 @p307 @p305 @p304 @p291 @p285 @p283 @p87) :args ((or @t84 @t83) (@list true false true false false false false true false false false false false true false true) (@list @t142 @t140 @t137 @t141 @t157 @t138 @t155 @t137 @t136 @t154 @t135 @t134 @t132 @t131 @t166 @t85))) % 0.53/0.74 (step @p327 :rule arith_poly_norm :args ((= @t91 @t92))) % 0.53/0.74 (step @p328 :rule arith_poly_norm_rel :premises (@p327) :args ((= @t172 @t85))) % 0.53/0.74 (step @p329 :rule arith_poly_norm :args ((= (* -1 (- @t79 @t173)) (* -1 (- @t82 1))))) % 0.53/0.74 (step @p330 :rule arith_poly_norm_rel :premises (@p329) :args ((= @t174 @t83))) % 0.53/0.74 (step @p331 :rule cong :premises (@p330) :args ((not @t174))) % 0.53/0.74 (step @p332 :rule arith-leq-norm :args (@t79 @t80)) % 0.53/0.74 (step @p333 :rule trans :premises (@p332 @p331)) % 0.53/0.74 (step @p334 :rule nary_cong :premises (@p333 @p328) :args ((or @t175 @t172))) % 0.53/0.74 (step @p335 :rule symm :premises (@p334)) % 0.53/0.74 (step @p336 :rule bool-double-not-elim :args (@t172)) % 0.53/0.74 (step @p337 :rule trans :premises (@p336 @p328)) % 0.53/0.74 (step @p338 :rule bool-double-not-elim :args (@t175)) % 0.53/0.74 (step @p339 :rule trans :premises (@p338 @p333)) % 0.53/0.74 (step @p340 :rule nary_cong :premises (@p339 @p337) :args ((or (not @t177) (not @t176)))) % 0.53/0.74 (step @p341 :rule trans :premises (@p340 @p335)) % 0.53/0.74 (assume-push @p422 @t177) % 0.53/0.74 (assume-push @p423 @t176) % 0.53/0.74 (step @p344 :rule evaluate :args ((>= 0 0))) % 0.53/0.74 (step @p345 :rule arith_poly_norm :args ((= @t178 0))) % 0.53/0.74 (step @p346 :rule arith_poly_norm :args ((= @t179 0))) % 0.53/0.74 (step @p347 :rule cong :premises (@p346 @p345) :args (@t180)) % 0.53/0.74 (step @p348 :rule trans :premises (@p347 @p344)) % 0.53/0.74 (step @p349 :rule cong :premises (@p348) :args ((not @t180))) % 0.53/0.74 (step @p350 :rule trans :premises (@p349 @p170)) % 0.53/0.74 (step @p351 :rule arith-elim-lt :args (@t179 @t178)) % 0.53/0.74 (step @p352 :rule trans :premises (@p351 @p350)) % 0.53/0.74 (step @p353 :rule cong :premises (@p328) :args (@t176)) % 0.53/0.74 (step @p354 :rule arith-elim-lt :args (@t79 @t80)) % 0.53/0.74 (step @p355 :rule trans :premises (@p354 @p353)) % 0.53/0.74 (step @p356 :rule symm :premises (@p355)) % 0.53/0.74 (step @p357 :rule trans :premises (@p353 @p356)) % 0.53/0.74 (step @p358 :rule eq_resolve :premises (@p423 @p357)) % 0.53/0.74 (step @p359 :rule arith_mult_neg :args (-1 (> @t79 @t80))) % 0.53/0.74 (step @p360 :rule cong :premises (@p333) :args (@t177)) % 0.53/0.74 (step @p361 :rule trans :premises (@p360 @p35)) % 0.53/0.74 (step @p362 :rule arith-elim-leq :args (@t79 @t80)) % 0.53/0.74 (step @p363 :rule symm :premises (@p362)) % 0.53/0.74 (step @p364 :rule cong :premises (@p363) :args ((not (>= @t80 @t79)))) % 0.53/0.74 (step @p365 :rule arith-elim-gt :args (@t79 @t80)) % 0.53/0.74 (step @p366 :rule trans :premises (@p365 @p364)) % 0.53/0.74 (step @p367 :rule trans :premises (@p366 @p361)) % 0.53/0.74 (step @p368 :rule symm :premises (@p367)) % 0.53/0.74 (step @p369 :rule trans :premises (@p361 @p368)) % 0.53/0.74 (step @p370 :rule eq_resolve :premises (@p422 @p369)) % 0.53/0.74 (step @p371 :rule evaluate :args ((< -1 0))) % 0.53/0.74 (step @p372 :rule true_elim :premises (@p371)) % 0.53/0.74 (step @p373 :rule and_intro :premises (@p372 @p370)) % 0.53/0.74 (step @p374 :rule modus_ponens :premises (@p373 @p359)) % 0.53/0.74 (step @p375 :rule arith_sum_ub :premises (@p374 @p358)) % 0.53/0.74 (step @p376 false :rule eq_resolve :premises (@p375 @p352)) % 0.53/0.74 (step-pop @p424 :rule scope :premises (@p376)) % 0.53/0.74 (step-pop @p425 :rule scope :premises (@p424)) % 0.53/0.74 (step @p377 :rule process_scope :premises (@p425) :args (false)) % 0.53/0.74 (step @p380 :rule not_and :premises (@p377)) % 0.53/0.74 (step @p381 :rule eq_resolve :premises (@p380 @p341)) % 0.53/0.74 (step @p382 :rule eq_resolve :premises (@p381 @p334)) % 0.53/0.74 (step @p383 :rule reordering :premises (@p382) :args ((or @t85 @t87))) % 0.53/0.74 (step @p384 :rule cnf_and_pos :args (@t136 1)) % 0.53/0.74 (step @p385 :rule reordering :premises (@p384) :args ((or @t132 @t168))) % 0.53/0.74 (step @p386 :rule cnf_or_pos :args (@t132)) % 0.53/0.74 (step @p387 :rule reordering :premises (@p386) :args ((or @t86 @t131 (not @t132)))) % 0.53/0.74 (step @p388 :rule cnf_or_neg :args (@t154 3)) % 0.53/0.74 (step @p389 :rule reordering :premises (@p388) :args ((or @t165 @t154))) % 0.53/0.74 (step @p390 :rule chain_m_resolution :premises (@p318 @p34 @p315 @p276 @p325 @p271 @p389 @p324 @p276 @p387 @p316 @p385) :args ((or @t86 @t168) (@list false false true true true false false true false false false) (@list @t157 @t155 @t137 @t141 @t142 @t154 @t140 @t137 @t131 @t138 @t132))) % 0.53/0.74 (step @p391 :rule cnf_or_neg :args (@t135 0)) % 0.53/0.74 (step @p392 :rule cnf_or_neg :args (@t132 1)) % 0.53/0.74 (step @p393 :rule cnf_and_pos :args (@t150 2)) % 0.53/0.74 (step @p394 :rule reordering :premises (@p393) :args ((or @t149 @t161))) % 0.53/0.74 (step @p395 :rule chain_m_resolution :premises (@p394 @p279) :args (@t149 @t162 @t163)) % 0.53/0.74 (step @p396 :rule instantiate :premises (@p395) :args (@t164)) % 0.53/0.74 (step @p397 :rule cnf_or_pos :args (@t181)) % 0.53/0.74 (step @p398 :rule reordering :premises (@p397) :args ((or @t170 @t87 (not @t181)))) % 0.53/0.74 (step @p399 :rule chain_m_resolution :premises (@p87 @p398 @p396 @p295 @p276 @p392 @p308 @p391) :args ((or @t84 @t86 @t136 @t167) (@list true false false true true true false) (@list @t83 @t181 @t134 @t137 @t131 @t132 @t135))) % 0.53/0.74 (step @p400 :rule chain_m_resolution :premises (@p275 @p34 @p273 @p271 @p299 @p303 @p399 @p301 @p276 @p390 @p383 @p326) :args (@t84 (@list false false true true true true true true true false false) (@list @t157 @t141 @t142 @t155 @t140 @t154 @t138 @t137 @t136 @t85 @t83))) % 0.53/0.74 (step @p401 :rule cnf_or_neg :args (@t154 1)) % 0.53/0.74 (step @p402 :rule reordering :premises (@p401) :args ((or @t88 @t154))) % 0.53/0.74 (step @p403 :rule chain_m_resolution :premises (@p402 @p400) :args (@t154 @t162 @t182)) % 0.53/0.74 (step @p404 :rule chain_m_resolution :premises (@p315 @p276 @p403) :args (@t155 @t160 (@list @t137 @t154))) % 0.53/0.74 (step @p405 :rule cnf_or_neg :args (@t138 1)) % 0.53/0.74 (step @p406 :rule chain_m_resolution :premises (@p405 @p400) :args (@t138 @t162 @t182)) % 0.53/0.74 (step @p407 :rule chain_m_resolution :premises (@p324 @p276 @p406) :args (@t140 @t160 (@list @t137 @t138))) % 0.53/0.74 (step @p408 :rule chain_m_resolution :premises (@p325 @p271 @p407) :args (@t159 @t160 (@list @t142 @t140))) % 0.53/0.74 (step @p409 false :rule chain_m_resolution :premises (@p318 @p408 @p404 @p34) :args (false (@list true false false) (@list @t141 @t155 @t157))) % 0.53/0.74 ) % 0.53/0.74 % SZS output end Proof % 0.53/0.74 % cvc5 exiting %------------------------------------------------------------------------------