%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO010^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.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 09:11:46 AM UTC 2026 % Result : Theorem 152.54s 152.77s % Output : Proof 152.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO010^1 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n016.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 : Tue Jun 2 23:51:54 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 152.54/152.77 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 152.54/152.77 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 152.54/152.77 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 152.54/152.77 --- Run --ho-elim --full-saturate-quant at 18s... % 152.54/152.77 % SZS status Theorem % 152.54/152.77 % SZS output start Proof % 152.54/152.77 ( % 152.54/152.77 (declare-sort $$unsorted 0) % 152.54/152.77 (declare-const tptp.p (-> (-> $$unsorted $$unsorted) Bool)) % 152.54/152.77 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 152.54/152.77 (define tptp.leibeq () (let ((_let_1 (@var "V" $$unsorted))) (let ((_let_2 (@var "Q" (-> $$unsorted Bool)))) (let ((_let_3 (@var "U" $$unsorted))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ _let_2 _let_3) (_ _let_2 _let_1)))))))) % 152.54/152.77 (define @t1 () (@var "X" $$unsorted)) % 152.54/152.77 (define @t2 () (_ tptp.f @t1)) % 152.54/152.77 (define @t3 () (@list @t1)) % 152.54/152.77 (define @t4 () (_ tptp.p (lambda @t3 @t2))) % 152.54/152.77 (define @t5 () (_ tptp.p (lambda @t3 @t1))) % 152.54/152.77 (define @t6 () (forall @t3 (_ (_ tptp.leibeq @t2) @t1))) % 152.54/152.77 (define @t7 () (and @t6 @t5)) % 152.54/152.77 (define @t8 () (=> @t7 @t4)) % 152.54/152.77 (define @t9 () (not @t8)) % 152.54/152.77 (define @t10 () (@var "V" $$unsorted)) % 152.54/152.77 (define @t11 () (@var "Q" (-> $$unsorted Bool))) % 152.54/152.77 (define @t12 () (_ @t11 @t10)) % 152.54/152.77 (define @t13 () (@var "U" $$unsorted)) % 152.54/152.77 (define @t14 () (_ @t11 @t13)) % 152.54/152.77 (define @t15 () (@list @t11)) % 152.54/152.77 (define @t16 () (forall @t15 (=> @t14 @t12))) % 152.54/152.77 (define @t17 () (@list @t13 @t10)) % 152.54/152.77 (define @t18 () (lambda @t17 @t16)) % 152.54/152.77 (define @t19 () (@var "ii" $$unsorted)) % 152.54/152.77 (define @t20 () (@var "u" (@ho-elim-sort (-> $$unsorted Bool)))) % 152.54/152.77 (define @t21 () (@const 0 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 152.54/152.77 (define @t22 () (@var "e" Bool)) % 152.54/152.77 (define @t23 () (@var "i" $$unsorted)) % 152.54/152.77 (define @t24 () (@var "v" (@ho-elim-sort (-> $$unsorted Bool)))) % 152.54/152.77 (define @t25 () (_ @t21 @t24 @t19)) % 152.54/152.77 (define @t26 () (@list @t19)) % 152.54/152.77 (define @t27 () (@list @t24)) % 152.54/152.77 (define @t28 () (forall (@list @t20 @t22 @t23) (not (forall @t27 (not (forall @t26 (= @t25 (ite (= @t23 @t19) @t22 (_ @t21 @t20 @t19))))))))) % 152.54/152.77 (define @t29 () (@const 1 (@ho-elim-sort (-> $$unsorted Bool)))) % 152.54/152.77 (define @t30 () (_ @t21 @t29 @t19)) % 152.54/152.77 (define @t31 () (@const 2 (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 152.54/152.77 (define @t32 () (@const 3 (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) Bool)))) % 152.54/152.77 (define @t33 () (@const 4 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) Bool)) (@ho-elim-sort (-> $$unsorted $$unsorted)) Bool))) % 152.54/152.77 (define @t34 () (_ @t33 @t32 @t31)) % 152.54/152.77 (define @t35 () (@var "z" $$unsorted)) % 152.54/152.77 (define @t36 () (@const 5 (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 152.54/152.77 (define @t37 () (@const 6 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted))) % 152.54/152.77 (define @t38 () (@list @t35)) % 152.54/152.77 (define @t39 () (forall @t38 (= (_ @t37 @t31 @t35) (_ @t37 @t36 @t35)))) % 152.54/152.77 (define @t40 () (@quantifiers_skolemize @t39 0)) % 152.54/152.77 (define @t41 () (= @t40 @t19)) % 152.54/152.77 (define @t42 () (ite @t41 @t34 @t30)) % 152.54/152.77 (define @t43 () (= @t25 @t42)) % 152.54/152.77 (define @t44 () (forall @t26 @t43)) % 152.54/152.77 (define @t45 () (not @t44)) % 152.54/152.77 (define @t46 () (forall @t27 @t45)) % 152.54/152.77 (define @t47 () (not @t46)) % 152.54/152.77 (define @t48 () (= @t19 @t40)) % 152.54/152.77 (define @t49 () (ite @t48 @t34 @t30)) % 152.54/152.77 (define @t50 () (forall @t27 (not (forall @t26 (= @t25 @t49))))) % 152.54/152.77 (define @t51 () (not @t50)) % 152.54/152.77 (define @t52 () (@list false)) % 152.54/152.77 (define @t53 () (@list @t28)) % 152.54/152.77 (define @t54 () (@quantifiers_skolemize @t50 0)) % 152.54/152.77 (define @t55 () (_ @t21 @t54 @t19)) % 152.54/152.77 (define @t56 () (forall @t26 (= @t49 @t55))) % 152.54/152.77 (define @t57 () (forall @t26 (= @t55 @t49))) % 152.54/152.77 (define @t58 () (not (not @t57))) % 152.54/152.77 (define @t59 () (@list true)) % 152.54/152.77 (define @t60 () (_ @t21 @t54 @t40)) % 152.54/152.77 (define @t61 () (_ @t21 @t29 @t40)) % 152.54/152.77 (define @t62 () (= @t40 @t40)) % 152.54/152.77 (define @t63 () (ite @t62 @t34 @t61)) % 152.54/152.77 (define @t64 () (= @t63 @t60)) % 152.54/152.77 (define @t65 () (@list @t40)) % 152.54/152.77 (define @t66 () (= @t34 @t60)) % 152.54/152.77 (define @t67 () (@list @t56)) % 152.54/152.77 (define @t68 () (_ @t33 @t32 @t36)) % 152.54/152.77 (define @t69 () (@var "BOUND_VARIABLE_7540" (@ho-elim-sort (-> $$unsorted Bool)))) % 152.54/152.77 (define @t70 () (@const 7 (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 152.54/152.77 (define @t71 () (@const 8 (-> $$unsorted $$unsorted))) % 152.54/152.77 (define @t72 () (@const 9 (-> $$unsorted $$unsorted))) % 152.54/152.77 (define @t73 () (tptp.f @t1)) % 152.54/152.77 (define @t74 () (not (_ @t11 @t73))) % 152.54/152.77 (define @t75 () (or @t74 (_ @t11 @t1))) % 152.54/152.77 (define @t76 () (forall (@list @t1 @t11) @t75)) % 152.54/152.77 (define @t77 () (not (=> (and @t76 (_ tptp.p @t72)) (_ tptp.p @t71)))) % 152.54/152.77 (define @t78 () (forall @t15 @t75)) % 152.54/152.77 (define @t79 () (_ @t11 @t10)) % 152.54/152.77 (define @t80 () (@list @t10)) % 152.54/152.77 (define @t81 () (_ @t11 @t2)) % 152.54/152.77 (define @t82 () (not @t81)) % 152.54/152.77 (define @t83 () (or @t82 @t79)) % 152.54/152.77 (define @t84 () (forall @t15 @t83)) % 152.54/152.77 (define @t85 () (lambda @t80 @t84)) % 152.54/152.77 (define @t86 () (_ @t11 @t13)) % 152.54/152.77 (define @t87 () (_ (lambda @t17 (forall @t15 (or (not @t86) @t79))) @t2)) % 152.54/152.77 (define @t88 () (forall @t3 (_ @t87 @t1))) % 152.54/152.77 (define @t89 () (and @t88 @t5)) % 152.54/152.77 (define @t90 () (=> @t89 @t4)) % 152.54/152.77 (define @t91 () (not @t14)) % 152.54/152.77 (define @t92 () (or @t91 @t12)) % 152.54/152.77 (define @t93 () (not @t34)) % 152.54/152.77 (define @t94 () (@list false false)) % 152.54/152.77 (define @t95 () (ite @t41 @t68 @t30)) % 152.54/152.77 (define @t96 () (= @t25 @t95)) % 152.54/152.77 (define @t97 () (forall @t26 @t96)) % 152.54/152.77 (define @t98 () (not @t97)) % 152.54/152.77 (define @t99 () (forall @t27 @t98)) % 152.54/152.77 (define @t100 () (not @t99)) % 152.54/152.77 (define @t101 () (ite @t48 @t68 @t30)) % 152.54/152.77 (define @t102 () (forall @t27 (not (forall @t26 (= @t25 @t101))))) % 152.54/152.77 (define @t103 () (not @t102)) % 152.54/152.77 (define @t104 () (@quantifiers_skolemize @t102 0)) % 152.54/152.77 (define @t105 () (_ @t21 @t104 @t19)) % 152.54/152.77 (define @t106 () (forall @t26 (= @t101 @t105))) % 152.54/152.77 (define @t107 () (forall @t26 (= @t105 @t101))) % 152.54/152.77 (define @t108 () (not (not @t107))) % 152.54/152.77 (define @t109 () (_ @t21 @t104 @t40)) % 152.54/152.77 (define @t110 () (ite @t62 @t68 @t61)) % 152.54/152.77 (define @t111 () (= @t110 @t109)) % 152.54/152.77 (define @t112 () (= @t68 @t109)) % 152.54/152.77 (define @t113 () (@list @t106)) % 152.54/152.77 (define @t114 () (not @t109)) % 152.54/152.77 (define @t115 () (@list true false)) % 152.54/152.77 (define @t116 () (@var "y" (@ho-elim-sort (-> $$unsorted Bool)))) % 152.54/152.77 (define @t117 () (@var "x" (@ho-elim-sort (-> $$unsorted Bool)))) % 152.54/152.77 (define @t118 () (@var "z" $$unsorted)) % 152.54/152.77 (define @t119 () (@list @t118)) % 152.54/152.77 (define @t120 () (_ @t21 @t29 @t118)) % 152.54/152.77 (define @t121 () (forall @t119 (= @t120 (_ @t21 @t54 @t118)))) % 152.54/152.77 (define @t122 () (@quantifiers_skolemize @t121 0)) % 152.54/152.77 (define @t123 () (_ @t21 @t29 @t122)) % 152.54/152.77 (define @t124 () (= @t40 @t122)) % 152.54/152.77 (define @t125 () (ite @t124 @t68 @t123)) % 152.54/152.77 (define @t126 () (not @t124)) % 152.54/152.77 (define @t127 () (_ @t37 @t36 @t40)) % 152.54/152.77 (define @t128 () (ite (= @t19 @t127) @t34 @t105)) % 152.54/152.77 (define @t129 () (forall @t27 (not (forall @t26 (= @t25 @t128))))) % 152.54/152.77 (define @t130 () (@quantifiers_skolemize @t129 0)) % 152.54/152.77 (define @t131 () (ite (= @t127 @t19) @t34 @t105)) % 152.54/152.77 (define @t132 () (= @t25 @t131)) % 152.54/152.77 (define @t133 () (forall @t26 @t132)) % 152.54/152.77 (define @t134 () (not @t133)) % 152.54/152.77 (define @t135 () (forall @t27 @t134)) % 152.54/152.77 (define @t136 () (not @t135)) % 152.54/152.77 (define @t137 () (not @t129)) % 152.54/152.77 (define @t138 () (_ @t21 @t130 @t19)) % 152.54/152.77 (define @t139 () (forall @t26 (= @t128 @t138))) % 152.54/152.77 (define @t140 () (forall @t26 (= @t138 @t128))) % 152.54/152.77 (define @t141 () (not (not @t140))) % 152.54/152.77 (define @t142 () (_ @t21 @t130 @t127)) % 152.54/152.77 (define @t143 () (_ @t21 @t104 @t127)) % 152.54/152.77 (define @t144 () (ite (= @t127 @t127) @t34 @t143)) % 152.54/152.77 (define @t145 () (= @t144 @t142)) % 152.54/152.77 (define @t146 () (= @t34 @t142)) % 152.54/152.77 (define @t147 () (@list @t139)) % 152.54/152.77 (define @t148 () (@var "BOUND_VARIABLE_7505" $$unsorted)) % 152.54/152.77 (define @t149 () (_ @t37 @t36 @t148)) % 152.54/152.77 (define @t150 () (_ @t37 @t70 @t148)) % 152.54/152.77 (define @t151 () (@list @t148)) % 152.54/152.77 (define @t152 () (forall @t151 (= @t149 @t150))) % 152.54/152.77 (define @t153 () (forall @t151 (= (_ @t71 @t148) (tptp.f @t148)))) % 152.54/152.77 (define @t154 () (_ @t21 @t130 (_ @t37 @t70 @t40))) % 152.54/152.77 (define @t155 () (_ @t21 @t130 @t40)) % 152.54/152.77 (define @t156 () (not @t154)) % 152.54/152.77 (define @t157 () (or @t156 @t155)) % 152.54/152.77 (define @t158 () (_ @t21 @t130 @t122)) % 152.54/152.77 (define @t159 () (and @t124 @t155)) % 152.54/152.77 (define @t160 () (_ @t21 @t104 @t122)) % 152.54/152.77 (define @t161 () (= @t122 @t40)) % 152.54/152.77 (define @t162 () (ite @t161 @t68 @t123)) % 152.54/152.77 (define @t163 () (= @t162 @t160)) % 152.54/152.77 (define @t164 () (@list @t122)) % 152.54/152.77 (define @t165 () (= @t160 @t125)) % 152.54/152.77 (define @t166 () (= @t127 @t122)) % 152.54/152.77 (define @t167 () (ite @t166 @t34 @t160)) % 152.54/152.77 (define @t168 () (ite (= @t122 @t127) @t34 @t160)) % 152.54/152.77 (define @t169 () (= @t168 @t158)) % 152.54/152.77 (define @t170 () (= @t158 @t167)) % 152.54/152.77 (define @t171 () (@var "BOUND_VARIABLE_7511" $$unsorted)) % 152.54/152.77 (define @t172 () (@list @t171)) % 152.54/152.77 (define @t173 () (forall @t172 (= @t171 (_ @t72 @t171)))) % 152.54/152.77 (define @t174 () (@var "y" (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 152.54/152.77 (define @t175 () (@var "x" (@ho-elim-sort (-> $$unsorted $$unsorted)))) % 152.54/152.77 (define @t176 () (forall (@list @t175 @t174) (or (not (forall @t38 (= (_ @t37 @t175 @t35) (_ @t37 @t174 @t35)))) (= @t175 @t174)))) % 152.54/152.77 (define @t177 () (not @t39)) % 152.54/152.77 (define @t178 () (or @t177 (= @t31 @t36))) % 152.54/152.77 (define @t179 () (= @t36 @t31)) % 152.54/152.77 (define @t180 () (or @t177 @t179)) % 152.54/152.77 (define @t181 () (not @t179)) % 152.54/152.77 (define @t182 () (not @t68)) % 152.54/152.77 (define @t183 () (and @t182 @t179 @t34)) % 152.54/152.77 (define @t184 () (_ @t37 @t31 @t40)) % 152.54/152.77 (define @t185 () (= @t184 @t127)) % 152.54/152.77 (define @t186 () (not @t185)) % 152.54/152.77 (define @t187 () (not @t166)) % 152.54/152.77 (define @t188 () (= @t40 @t184)) % 152.54/152.77 (define @t189 () (not @t188)) % 152.54/152.77 (define @t190 () (not @t186)) % 152.54/152.77 (define @t191 () (= false true)) % 152.54/152.77 (define @t192 () (and @t188 @t124 @t166 @t186)) % 152.54/152.77 (define @t193 () (_ @t21 @t54 @t122)) % 152.54/152.77 (define @t194 () (= @t123 @t193)) % 152.54/152.77 (define @t195 () (ite @t124 @t34 @t123)) % 152.54/152.77 (define @t196 () (not @t123)) % 152.54/152.77 (define @t197 () (ite @t161 @t34 @t123)) % 152.54/152.77 (define @t198 () (= @t197 @t193)) % 152.54/152.77 (define @t199 () (= @t193 @t195)) % 152.54/152.77 (define @t200 () (not @t199)) % 152.54/152.77 (define @t201 () (not @t195)) % 152.54/152.77 (define @t202 () (not @t194)) % 152.54/152.77 (define @t203 () (not @t121)) % 152.54/152.77 (define @t204 () (= @t29 @t54)) % 152.54/152.77 (define @t205 () (or @t203 @t204)) % 152.54/152.77 (define @t206 () (forall @t119 (= @t120 (_ @t21 @t104 @t118)))) % 152.54/152.77 (define @t207 () (@quantifiers_skolemize @t206 0)) % 152.54/152.77 (define @t208 () (_ @t21 @t104 @t207)) % 152.54/152.77 (define @t209 () (_ @t21 @t29 @t207)) % 152.54/152.77 (define @t210 () (= @t209 @t208)) % 152.54/152.77 (define @t211 () (ite (= @t207 @t40) @t68 @t209)) % 152.54/152.77 (define @t212 () (= @t211 @t208)) % 152.54/152.77 (define @t213 () (@list @t207)) % 152.54/152.77 (define @t214 () (= @t40 @t207)) % 152.54/152.77 (define @t215 () (ite @t214 @t68 @t209)) % 152.54/152.77 (define @t216 () (= @t208 @t215)) % 152.54/152.77 (define @t217 () (not @t216)) % 152.54/152.77 (define @t218 () (not @t215)) % 152.54/152.77 (define @t219 () (not @t209)) % 152.54/152.77 (define @t220 () (_ @t21 @t130 @t207)) % 152.54/152.77 (define @t221 () (and @t214 @t155)) % 152.54/152.77 (define @t222 () (= @t127 @t207)) % 152.54/152.77 (define @t223 () (ite @t222 @t34 @t208)) % 152.54/152.77 (define @t224 () (ite (= @t207 @t127) @t34 @t208)) % 152.54/152.77 (define @t225 () (= @t224 @t220)) % 152.54/152.77 (define @t226 () (= @t220 @t223)) % 152.54/152.77 (define @t227 () (not @t222)) % 152.54/152.77 (define @t228 () (not @t214)) % 152.54/152.77 (define @t229 () (and @t188 @t214 @t222 @t186)) % 152.54/152.77 (define @t230 () (not @t210)) % 152.54/152.77 (define @t231 () (not @t206)) % 152.54/152.77 (define @t232 () (= @t29 @t104)) % 152.54/152.77 (define @t233 () (or @t231 @t232)) % 152.54/152.77 (define @t234 () (not @t232)) % 152.54/152.77 (define @t235 () (not @t204)) % 152.54/152.77 (define @t236 () (not @t60)) % 152.54/152.77 (assume @p1 @t9) % 152.54/152.77 (assume @p2 true) % 152.54/152.77 (step @p3 (= tptp.leibeq @t18) :rule refl :args (@t18)) % 152.54/152.77 ; WARNING: add trust step for TRUST % 152.54/152.77 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 152.54/152.77 (step @p4 :rule trust :premises () :args (@t28)) % 152.54/152.77 (step @p5 :rule refl :args (@t30)) % 152.54/152.77 (step @p6 :rule refl :args (@t34)) % 152.54/152.77 (step @p7 :rule eq-symm :args (@t40 @t19)) % 152.54/152.77 (step @p8 :rule cong :premises (@p7 @p6 @p5) :args (@t42)) % 152.54/152.77 (step @p9 :rule refl :args (@t25)) % 152.54/152.77 (step @p10 :rule cong :premises (@p9 @p8) :args (@t43)) % 152.54/152.77 (step @p11 :rule cong :premises (@p10) :args (@t44)) % 152.54/152.77 (step @p12 :rule cong :premises (@p11) :args (@t45)) % 152.54/152.77 (step @p13 :rule cong :premises (@p12) :args (@t46)) % 152.54/152.77 (step @p14 :rule cong :premises (@p13) :args (@t47)) % 152.54/152.77 (step @p15 :rule refl :args (@t28)) % 152.54/152.77 (step @p16 :rule cong :premises (@p15 @p14) :args ((=> @t28 @t47))) % 152.54/152.77 (assume-push @p577 @t28) % 152.54/152.77 (step @p18 :rule instantiate :premises (@p4) :args ((@list @t29 @t34 @t40))) % 152.54/152.77 (step-pop @p578 :rule scope :premises (@p18)) % 152.54/152.77 (step @p19 :rule process_scope :premises (@p578) :args (@t47)) % 152.54/152.77 (step @p21 :rule eq_resolve :premises (@p19 @p16)) % 152.54/152.77 (step @p22 :rule implies_elim :premises (@p21)) % 152.54/152.77 (step @p23 :rule chain_m_resolution :premises (@p22 @p4) :args (@t51 @t52 @t53)) % 152.54/152.77 (step @p24 :rule refl :args (@t56)) % 152.54/152.77 (step @p25 :rule bool-double-not-elim :args (@t50)) % 152.54/152.77 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or (not @t51) @t56))) % 152.54/152.77 (step @p27 :rule eq-symm :args (@t55 @t49)) % 152.54/152.77 (step @p28 :rule cong :premises (@p27) :args (@t57)) % 152.54/152.77 (step @p29 :rule bool-double-not-elim :args (@t57)) % 152.54/152.77 (step @p30 :rule trans :premises (@p29 @p28)) % 152.54/152.77 (step @p31 :rule refl :args (@t51)) % 152.54/152.77 (step @p32 :rule cong :premises (@p31 @p30) :args ((=> @t51 @t58))) % 152.54/152.77 (assume-push @p579 @t51) % 152.54/152.77 (step @p34 :rule skolemize :premises (@p23)) % 152.54/152.77 (step-pop @p580 :rule scope :premises (@p34)) % 152.54/152.77 (step @p35 :rule process_scope :premises (@p580) :args (@t58)) % 152.54/152.77 (step @p37 :rule eq_resolve :premises (@p35 @p32)) % 152.54/152.77 (step @p38 :rule implies_elim :premises (@p37)) % 152.54/152.77 (step @p39 :rule eq_resolve :premises (@p38 @p26)) % 152.54/152.77 (step @p40 :rule chain_m_resolution :premises (@p39 @p23) :args (@t56 @t59 (@list @t50))) % 152.54/152.77 (step @p41 :rule refl :args (@t60)) % 152.54/152.77 (step @p42 :rule ite-true-cond :args (@t34 @t61)) % 152.54/152.77 (step @p43 :rule refl :args (@t61)) % 152.54/152.77 (step @p44 :rule eq-refl :args (@t40)) % 152.54/152.77 (step @p45 :rule cong :premises (@p44 @p6 @p43) :args (@t63)) % 152.54/152.77 (step @p46 :rule trans :premises (@p45 @p42)) % 152.54/152.77 (step @p47 :rule cong :premises (@p46 @p41) :args (@t64)) % 152.54/152.77 (step @p48 :rule cong :premises (@p24 @p47) :args ((=> @t56 @t64))) % 152.54/152.77 (assume-push @p581 @t56) % 152.54/152.77 (step @p50 :rule instantiate :premises (@p40) :args (@t65)) % 152.54/152.77 (step-pop @p582 :rule scope :premises (@p50)) % 152.54/152.77 (step @p51 :rule process_scope :premises (@p582) :args (@t64)) % 152.54/152.77 (step @p53 :rule eq_resolve :premises (@p51 @p48)) % 152.54/152.77 (step @p54 :rule implies_elim :premises (@p53)) % 152.54/152.77 (step @p55 :rule chain_m_resolution :premises (@p54 @p40) :args (@t66 @t52 @t67)) % 152.54/152.77 ; trust TRUST PREPROCESS_HO_ELIM % 152.54/152.77 (step @p56 :rule trust :premises () :args ((= @t77 (not (=> (and (forall (@list @t1 @t69) (or (not (_ @t21 @t69 (_ @t37 @t70 @t1))) (_ @t21 @t69 @t1))) @t34) @t68))))) % 152.54/152.77 ; trust TRUST PREPROCESS_HO_ELIM % 152.54/152.77 (step @p57 :rule trust :premises () :args ((= (not (=> (and @t76 @t5) @t4)) @t77))) % 152.54/152.77 (step @p58 :rule refl :args (@t4)) % 152.54/152.77 (step @p59 :rule refl :args (@t5)) % 152.54/152.77 (step @p60 :rule quant-merge-prenex :args ((= (forall @t3 @t78) @t76))) % 152.54/152.77 (step @p61 :rule beta-reduce :args ((= (_ (lambda @t80 (forall @t15 (or @t74 @t79))) @t1) @t78))) % 152.54/152.77 (step @p62 :rule refl :args (@t1)) % 152.54/152.77 (step @p63 :rule refl :args (@t79)) % 152.54/152.77 (step @p64 :rule refl :args (@t73)) % 152.54/152.77 (step @p65 :rule refl :args (@t2)) % 152.54/152.77 (step @p66 :rule cong :premises (@p65 @p64) :args ((= @t2 @t73))) % 152.54/152.77 (step @p67 :rule symm :premises (@p66)) % 152.54/152.77 (step @p68 :rule eq_resolve :premises (@p65 @p67)) % 152.54/152.77 (step @p69 :rule cong :premises (@p68) :args (@t81)) % 152.54/152.77 (step @p70 :rule cong :premises (@p69) :args (@t82)) % 152.54/152.77 (step @p71 :rule nary_cong :premises (@p70 @p63) :args (@t83)) % 152.54/152.77 (step @p72 :rule cong :premises (@p71) :args (@t84)) % 152.54/152.77 (step @p73 :rule cong :premises (@p72) :args (@t85)) % 152.54/152.77 (step @p74 :rule beta-reduce :args ((= @t87 @t85))) % 152.54/152.77 (step @p75 :rule trans :premises (@p74 @p73)) % 152.54/152.77 (step @p76 :rule ho_cong :premises (@p75 @p62)) % 152.54/152.77 (step @p77 :rule trans :premises (@p76 @p61)) % 152.54/152.77 (step @p78 :rule cong :premises (@p77) :args (@t88)) % 152.54/152.77 (step @p79 :rule trans :premises (@p78 @p60)) % 152.54/152.77 (step @p80 :rule nary_cong :premises (@p79 @p59) :args (@t89)) % 152.54/152.77 (step @p81 :rule cong :premises (@p80 @p58) :args (@t90)) % 152.54/152.77 (step @p82 :rule cong :premises (@p81) :args ((not @t90))) % 152.54/152.77 (step @p83 :rule refl :args (@t2)) % 152.54/152.77 (step @p84 :rule refl :args (@t79)) % 152.54/152.77 (step @p85 :rule refl :args (@t12)) % 152.54/152.77 (step @p86 :rule cong :premises (@p85 @p84) :args ((= @t12 @t79))) % 152.54/152.77 (step @p87 :rule symm :premises (@p86)) % 152.54/152.77 (step @p88 :rule eq_resolve :premises (@p85 @p87)) % 152.54/152.77 (step @p89 :rule refl :args (@t86)) % 152.54/152.77 (step @p90 :rule refl :args (@t14)) % 152.54/152.77 (step @p91 :rule cong :premises (@p90 @p89) :args ((= @t14 @t86))) % 152.54/152.77 (step @p92 :rule symm :premises (@p91)) % 152.54/152.77 (step @p93 :rule eq_resolve :premises (@p90 @p92)) % 152.54/152.77 (step @p94 :rule cong :premises (@p93) :args (@t91)) % 152.54/152.77 (step @p95 :rule nary_cong :premises (@p94 @p88) :args (@t92)) % 152.54/152.77 (step @p96 :rule cong :premises (@p95) :args ((forall @t15 @t92))) % 152.54/152.77 (step @p97 :rule bool-impl-elim :args (@t14 @t12)) % 152.54/152.77 (step @p98 :rule cong :premises (@p97) :args (@t16)) % 152.54/152.77 (step @p99 :rule trans :premises (@p98 @p96)) % 152.54/152.77 (step @p100 :rule cong :premises (@p99) :args (@t18)) % 152.54/152.77 (step @p101 :rule trans :premises (@p3 @p100)) % 152.54/152.77 (step @p102 :rule ho_cong :premises (@p101 @p83)) % 152.54/152.77 (step @p103 :rule ho_cong :premises (@p102 @p62)) % 152.54/152.77 (step @p104 :rule cong :premises (@p103) :args (@t6)) % 152.54/152.77 (step @p105 :rule nary_cong :premises (@p104 @p59) :args (@t7)) % 152.54/152.77 (step @p106 :rule cong :premises (@p105 @p58) :args (@t8)) % 152.54/152.77 (step @p107 :rule cong :premises (@p106) :args (@t9)) % 152.54/152.77 (step @p108 :rule trans :premises (@p107 @p82)) % 152.54/152.77 (step @p109 :rule trans :premises (@p108 @p57 @p56)) % 152.54/152.77 (step @p110 :rule eq_resolve :premises (@p1 @p109)) % 152.54/152.77 (step @p111 :rule not_implies_elim1 :premises (@p110)) % 152.54/152.77 (step @p112 :rule and_elim :premises (@p111) :args (1)) % 152.54/152.77 (step @p113 :rule cnf_equiv_pos1 :args (@t66)) % 152.54/152.77 (step @p114 :rule reordering :premises (@p113) :args ((or @t93 @t60 (not @t66)))) % 152.54/152.77 (step @p115 :rule chain_m_resolution :premises (@p114 @p112 @p55) :args (@t60 @t94 (@list @t34 @t66))) % 152.54/152.77 (step @p116 :rule refl :args (@t68)) % 152.54/152.77 (step @p117 :rule cong :premises (@p7 @p116 @p5) :args (@t95)) % 152.54/152.77 (step @p118 :rule cong :premises (@p9 @p117) :args (@t96)) % 152.54/152.77 (step @p119 :rule cong :premises (@p118) :args (@t97)) % 152.54/152.77 (step @p120 :rule cong :premises (@p119) :args (@t98)) % 152.54/152.77 (step @p121 :rule cong :premises (@p120) :args (@t99)) % 152.54/152.77 (step @p122 :rule cong :premises (@p121) :args (@t100)) % 152.54/152.77 (step @p123 :rule cong :premises (@p15 @p122) :args ((=> @t28 @t100))) % 152.54/152.77 (assume-push @p583 @t28) % 152.54/152.77 (step @p125 :rule instantiate :premises (@p4) :args ((@list @t29 @t68 @t40))) % 152.54/152.77 (step-pop @p584 :rule scope :premises (@p125)) % 152.54/152.77 (step @p126 :rule process_scope :premises (@p584) :args (@t100)) % 152.54/152.77 (step @p128 :rule eq_resolve :premises (@p126 @p123)) % 152.54/152.77 (step @p129 :rule implies_elim :premises (@p128)) % 152.54/152.77 (step @p130 :rule chain_m_resolution :premises (@p129 @p4) :args (@t103 @t52 @t53)) % 152.54/152.77 (step @p131 :rule refl :args (@t106)) % 152.54/152.77 (step @p132 :rule bool-double-not-elim :args (@t102)) % 152.54/152.77 (step @p133 :rule nary_cong :premises (@p132 @p131) :args ((or (not @t103) @t106))) % 152.54/152.77 (step @p134 :rule eq-symm :args (@t105 @t101)) % 152.54/152.77 (step @p135 :rule cong :premises (@p134) :args (@t107)) % 152.54/152.77 (step @p136 :rule bool-double-not-elim :args (@t107)) % 152.54/152.77 (step @p137 :rule trans :premises (@p136 @p135)) % 152.54/152.77 (step @p138 :rule refl :args (@t103)) % 152.54/152.77 (step @p139 :rule cong :premises (@p138 @p137) :args ((=> @t103 @t108))) % 152.54/152.77 (assume-push @p585 @t103) % 152.54/152.77 (step @p141 :rule skolemize :premises (@p130)) % 152.54/152.77 (step-pop @p586 :rule scope :premises (@p141)) % 152.54/152.77 (step @p142 :rule process_scope :premises (@p586) :args (@t108)) % 152.54/152.77 (step @p144 :rule eq_resolve :premises (@p142 @p139)) % 152.54/152.77 (step @p145 :rule implies_elim :premises (@p144)) % 152.54/152.77 (step @p146 :rule eq_resolve :premises (@p145 @p133)) % 152.54/152.77 (step @p147 :rule chain_m_resolution :premises (@p146 @p130) :args (@t106 @t59 (@list @t102))) % 152.54/152.77 (step @p148 :rule eq-symm :args (@t109 @t68)) % 152.54/152.77 (step @p149 :rule ite-true-cond :args (@t68 @t61)) % 152.54/152.77 (step @p150 :rule cong :premises (@p44 @p116 @p43) :args (@t110)) % 152.54/152.77 (step @p151 :rule trans :premises (@p150 @p149)) % 152.54/152.77 (step @p152 :rule refl :args (@t109)) % 152.54/152.77 (step @p153 :rule cong :premises (@p152 @p151) :args ((= @t109 @t110))) % 152.54/152.77 (step @p154 :rule trans :premises (@p153 @p148)) % 152.54/152.77 (step @p155 :rule eq-symm :args (@t110 @t109)) % 152.54/152.77 (step @p156 :rule trans :premises (@p155 @p154)) % 152.54/152.77 (step @p157 :rule cong :premises (@p131 @p156) :args ((=> @t106 @t111))) % 152.54/152.77 (assume-push @p587 @t106) % 152.54/152.77 (step @p159 :rule instantiate :premises (@p147) :args (@t65)) % 152.54/152.77 (step-pop @p588 :rule scope :premises (@p159)) % 152.54/152.77 (step @p160 :rule process_scope :premises (@p588) :args (@t111)) % 152.54/152.77 (step @p162 :rule eq_resolve :premises (@p160 @p157)) % 152.54/152.77 (step @p163 :rule implies_elim :premises (@p162)) % 152.54/152.77 (step @p164 :rule chain_m_resolution :premises (@p163 @p147) :args (@t112 @t52 @t113)) % 152.54/152.77 (step @p165 :rule not_implies_elim2 :premises (@p110)) % 152.54/152.77 (step @p166 :rule cnf_equiv_pos2 :args (@t112)) % 152.54/152.77 (step @p167 :rule reordering :premises (@p166) :args ((or @t68 @t114 (not @t112)))) % 152.54/152.77 (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p164) :args (@t114 @t115 (@list @t68 @t112))) % 152.54/152.77 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 152.54/152.77 (step @p169 :rule trust :premises () :args ((forall (@list @t117 @t116) (or (not (forall @t119 (= (_ @t21 @t117 @t118) (_ @t21 @t116 @t118)))) (= @t117 @t116))))) % 152.54/152.77 (step @p170 :rule instantiate :premises (@p169) :args ((@list @t29 @t54))) % 152.54/152.77 (step @p171 :rule cnf_ite_pos1 :args (@t125)) % 152.54/152.77 (step @p172 :rule reordering :premises (@p171) :args ((or @t68 @t126 (not @t125)))) % 152.54/152.77 (step @p173 :rule and_elim :premises (@p111) :args (0)) % 152.54/152.77 (step @p174 :rule instantiate :premises (@p173) :args ((@list @t40 @t130))) % 152.54/152.77 (step @p175 :rule refl :args (@t105)) % 152.54/152.77 (step @p176 :rule eq-symm :args (@t127 @t19)) % 152.54/152.77 (step @p177 :rule cong :premises (@p176 @p6 @p175) :args (@t131)) % 152.54/152.77 (step @p178 :rule cong :premises (@p9 @p177) :args (@t132)) % 152.54/152.77 (step @p179 :rule cong :premises (@p178) :args (@t133)) % 152.54/152.77 (step @p180 :rule cong :premises (@p179) :args (@t134)) % 152.54/152.77 (step @p181 :rule cong :premises (@p180) :args (@t135)) % 152.54/152.77 (step @p182 :rule cong :premises (@p181) :args (@t136)) % 152.54/152.77 (step @p183 :rule cong :premises (@p15 @p182) :args ((=> @t28 @t136))) % 152.54/152.77 (assume-push @p589 @t28) % 152.54/152.77 (step @p185 :rule instantiate :premises (@p4) :args ((@list @t104 @t34 @t127))) % 152.54/152.77 (step-pop @p590 :rule scope :premises (@p185)) % 152.54/152.77 (step @p186 :rule process_scope :premises (@p590) :args (@t136)) % 152.54/152.77 (step @p188 :rule eq_resolve :premises (@p186 @p183)) % 152.54/152.77 (step @p189 :rule implies_elim :premises (@p188)) % 152.54/152.77 (step @p190 :rule chain_m_resolution :premises (@p189 @p4) :args (@t137 @t52 @t53)) % 152.54/152.77 (step @p191 :rule refl :args (@t139)) % 152.54/152.77 (step @p192 :rule bool-double-not-elim :args (@t129)) % 152.54/152.77 (step @p193 :rule nary_cong :premises (@p192 @p191) :args ((or (not @t137) @t139))) % 152.54/152.77 (step @p194 :rule eq-symm :args (@t138 @t128)) % 152.54/152.77 (step @p195 :rule cong :premises (@p194) :args (@t140)) % 152.54/152.77 (step @p196 :rule bool-double-not-elim :args (@t140)) % 152.54/152.77 (step @p197 :rule trans :premises (@p196 @p195)) % 152.54/152.77 (step @p198 :rule refl :args (@t137)) % 152.54/152.77 (step @p199 :rule cong :premises (@p198 @p197) :args ((=> @t137 @t141))) % 152.54/152.77 (assume-push @p591 @t137) % 152.54/152.77 (step @p201 :rule skolemize :premises (@p190)) % 152.54/152.77 (step-pop @p592 :rule scope :premises (@p201)) % 152.54/152.77 (step @p202 :rule process_scope :premises (@p592) :args (@t141)) % 152.54/152.77 (step @p204 :rule eq_resolve :premises (@p202 @p199)) % 152.54/152.77 (step @p205 :rule implies_elim :premises (@p204)) % 152.54/152.77 (step @p206 :rule eq_resolve :premises (@p205 @p193)) % 152.54/152.77 (step @p207 :rule chain_m_resolution :premises (@p206 @p190) :args (@t139 @t59 (@list @t129))) % 152.54/152.77 (step @p208 :rule refl :args (@t142)) % 152.54/152.77 (step @p209 :rule ite-true-cond :args (@t34 @t143)) % 152.54/152.77 (step @p210 :rule refl :args (@t143)) % 152.54/152.77 (step @p211 :rule eq-refl :args (@t127)) % 152.54/152.77 (step @p212 :rule cong :premises (@p211 @p6 @p210) :args (@t144)) % 152.54/152.77 (step @p213 :rule trans :premises (@p212 @p209)) % 152.54/152.77 (step @p214 :rule cong :premises (@p213 @p208) :args (@t145)) % 152.54/152.77 (step @p215 :rule cong :premises (@p191 @p214) :args ((=> @t139 @t145))) % 152.54/152.77 (assume-push @p593 @t139) % 152.54/152.77 (step @p217 :rule instantiate :premises (@p207) :args ((@list @t127))) % 152.54/152.77 (step-pop @p594 :rule scope :premises (@p217)) % 152.54/152.77 (step @p218 :rule process_scope :premises (@p594) :args (@t145)) % 152.54/152.77 (step @p220 :rule eq_resolve :premises (@p218 @p215)) % 152.54/152.77 (step @p221 :rule implies_elim :premises (@p220)) % 152.54/152.77 (step @p222 :rule chain_m_resolution :premises (@p221 @p207) :args (@t146 @t52 @t147)) % 152.54/152.77 (step @p223 :rule cnf_equiv_pos1 :args (@t146)) % 152.54/152.77 (step @p224 :rule reordering :premises (@p223) :args ((or @t93 @t142 (not @t146)))) % 152.54/152.77 (step @p225 :rule chain_m_resolution :premises (@p224 @p112 @p222) :args (@t142 @t94 (@list @t34 @t146))) % 152.54/152.77 (step @p226 :rule true_intro :premises (@p225)) % 152.54/152.77 (step @p227 :rule eq-symm :args (@t149 @t150)) % 152.54/152.77 (step @p228 :rule cong :premises (@p227) :args (@t152)) % 152.54/152.77 ; trust TRUST PREPROCESS_HO_ELIM % 152.54/152.77 (step @p229 :rule trust :premises () :args ((= @t153 @t152))) % 152.54/152.77 (step @p230 :rule trans :premises (@p229 @p228)) % 152.54/152.77 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 152.54/152.77 (step @p231 :rule trust :premises () :args (@t153)) % 152.54/152.77 (step @p232 :rule eq_resolve :premises (@p231 @p230)) % 152.54/152.77 (step @p233 :rule instantiate :premises (@p232) :args (@t65)) % 152.54/152.77 (step @p234 :rule refl :args (@t130)) % 152.54/152.77 (step @p235 :rule cong :premises (@p234 @p233) :args (@t154)) % 152.54/152.77 (step @p236 :rule trans :premises (@p235 @p226)) % 152.54/152.77 (step @p237 :rule true_elim :premises (@p236)) % 152.54/152.77 (step @p238 :rule cnf_or_pos :args (@t157)) % 152.54/152.77 (step @p239 :rule reordering :premises (@p238) :args ((or @t156 @t155 (not @t157)))) % 152.54/152.77 (step @p240 :rule chain_m_resolution :premises (@p239 @p237 @p174) :args (@t155 @t94 (@list @t154 @t157))) % 152.54/152.77 (assume-push @p595 @t124) % 152.54/152.77 (assume-push @p596 @t155) % 152.54/152.77 (assume-push @p597 @t155) % 152.54/152.77 (assume-push @p598 @t124) % 152.54/152.77 (step @p245 :rule true_intro :premises (@p240)) % 152.54/152.77 (step @p246 :rule symm :premises (@p595)) % 152.54/152.77 (step @p247 :rule cong :premises (@p234 @p246) :args (@t158)) % 152.54/152.77 (step @p248 :rule trans :premises (@p247 @p245)) % 152.54/152.77 (step @p249 :rule true_elim :premises (@p248)) % 152.54/152.77 (step-pop @p599 :rule scope :premises (@p249)) % 152.54/152.77 (step-pop @p600 :rule scope :premises (@p599)) % 152.54/152.77 (step @p250 :rule process_scope :premises (@p600) :args (@t158)) % 152.54/152.77 (step @p253 :rule and_intro :premises (@p240 @p595)) % 152.54/152.77 (step @p254 :rule modus_ponens :premises (@p253 @p250)) % 152.54/152.77 (step-pop @p601 :rule scope :premises (@p254)) % 152.54/152.77 (step-pop @p602 :rule scope :premises (@p601)) % 152.54/152.77 (step @p255 :rule process_scope :premises (@p602) :args (@t158)) % 152.54/152.77 (step @p258 :rule implies_elim :premises (@p255)) % 152.54/152.77 (step @p259 :rule cnf_and_neg :args (@t159)) % 152.54/152.77 (step @p260 :rule resolution :premises (@p259 @p258) :args (true @t159)) % 152.54/152.77 (step @p261 :rule eq-symm :args (@t125 @t160)) % 152.54/152.77 (step @p262 :rule refl :args (@t160)) % 152.54/152.77 (step @p263 :rule refl :args (@t123)) % 152.54/152.77 (step @p264 :rule eq-symm :args (@t122 @t40)) % 152.54/152.77 (step @p265 :rule cong :premises (@p264 @p116 @p263) :args (@t162)) % 152.54/152.77 (step @p266 :rule cong :premises (@p265 @p262) :args (@t163)) % 152.54/152.77 (step @p267 :rule trans :premises (@p266 @p261)) % 152.54/152.77 (step @p268 :rule cong :premises (@p131 @p267) :args ((=> @t106 @t163))) % 152.54/152.77 (assume-push @p603 @t106) % 152.54/152.77 (step @p270 :rule instantiate :premises (@p147) :args (@t164)) % 152.54/152.77 (step-pop @p604 :rule scope :premises (@p270)) % 152.54/152.77 (step @p271 :rule process_scope :premises (@p604) :args (@t163)) % 152.54/152.77 (step @p273 :rule eq_resolve :premises (@p271 @p268)) % 152.54/152.77 (step @p274 :rule implies_elim :premises (@p273)) % 152.54/152.77 (step @p275 :rule chain_m_resolution :premises (@p274 @p147) :args (@t165 @t52 @t113)) % 152.54/152.77 (step @p276 :rule cnf_equiv_pos1 :args (@t165)) % 152.54/152.77 (step @p277 :rule reordering :premises (@p276) :args ((or @t125 (not @t160) (not @t165)))) % 152.54/152.77 (step @p278 :rule eq-symm :args (@t167 @t158)) % 152.54/152.77 (step @p279 :rule refl :args (@t158)) % 152.54/152.77 (step @p280 :rule eq-symm :args (@t122 @t127)) % 152.54/152.77 (step @p281 :rule cong :premises (@p280 @p6 @p262) :args (@t168)) % 152.54/152.77 (step @p282 :rule cong :premises (@p281 @p279) :args (@t169)) % 152.54/152.77 (step @p283 :rule trans :premises (@p282 @p278)) % 152.54/152.77 (step @p284 :rule cong :premises (@p191 @p283) :args ((=> @t139 @t169))) % 152.54/152.77 (assume-push @p605 @t139) % 152.54/152.77 (step @p286 :rule instantiate :premises (@p207) :args (@t164)) % 152.54/152.77 (step-pop @p606 :rule scope :premises (@p286)) % 152.54/152.77 (step @p287 :rule process_scope :premises (@p606) :args (@t169)) % 152.54/152.77 (step @p289 :rule eq_resolve :premises (@p287 @p284)) % 152.54/152.77 (step @p290 :rule implies_elim :premises (@p289)) % 152.54/152.77 (step @p291 :rule chain_m_resolution :premises (@p290 @p207) :args (@t170 @t52 @t147)) % 152.54/152.77 (step @p292 :rule cnf_equiv_pos1 :args (@t170)) % 152.54/152.77 (step @p293 :rule reordering :premises (@p292) :args ((or @t167 (not @t158) (not @t170)))) % 152.54/152.77 (step @p294 :rule cnf_ite_pos2 :args (@t167)) % 152.54/152.77 (step @p295 :rule reordering :premises (@p294) :args ((or @t160 @t166 (not @t167)))) % 152.54/152.77 ; trust TRUST PREPROCESS_HO_ELIM % 152.54/152.77 (step @p296 :rule trust :premises () :args ((= @t173 (forall @t172 (= @t171 (_ @t37 @t31 @t171)))))) % 152.54/152.77 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 152.54/152.77 (step @p297 :rule trust :premises () :args (@t173)) % 152.54/152.77 (step @p298 :rule eq_resolve :premises (@p297 @p296)) % 152.54/152.77 (step @p299 :rule instantiate :premises (@p298) :args (@t65)) % 152.54/152.77 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 152.54/152.77 (step @p300 :rule trust :premises () :args (@t176)) % 152.54/152.77 (step @p301 :rule eq-symm :args (@t31 @t36)) % 152.54/152.77 (step @p302 :rule refl :args (@t177)) % 152.54/152.77 (step @p303 :rule nary_cong :premises (@p302 @p301) :args (@t178)) % 152.54/152.77 (step @p304 :rule refl :args (@t176)) % 152.54/152.77 (step @p305 :rule cong :premises (@p304 @p303) :args ((=> @t176 @t178))) % 152.54/152.77 (assume-push @p607 @t176) % 152.54/152.77 (step @p307 :rule instantiate :premises (@p300) :args ((@list @t31 @t36))) % 152.54/152.77 (step-pop @p608 :rule scope :premises (@p307)) % 152.54/152.77 (step @p308 :rule process_scope :premises (@p608) :args (@t178)) % 152.54/152.77 (step @p310 :rule eq_resolve :premises (@p308 @p305)) % 152.54/152.77 (step @p311 :rule implies_elim :premises (@p310)) % 152.54/152.77 (step @p312 :rule chain_m_resolution :premises (@p311 @p300) :args (@t180 @t52 (@list @t176))) % 152.54/152.77 (step @p313 :rule refl :args (@t181)) % 152.54/152.77 (step @p314 :rule bool-double-not-elim :args (@t68)) % 152.54/152.77 (step @p315 :rule refl :args (@t93)) % 152.54/152.77 (step @p316 :rule nary_cong :premises (@p315 @p314 @p313) :args ((or @t93 (not @t182) @t181))) % 152.54/152.77 (assume-push @p609 @t182) % 152.54/152.77 (assume-push @p610 @t179) % 152.54/152.77 (assume-push @p611 @t34) % 152.54/152.77 (step @p320 :rule evaluate :args ((= true false))) % 152.54/152.77 (step @p321 :rule false_intro :premises (@p165)) % 152.54/152.77 (step @p322 :rule symm :premises (@p610)) % 152.54/152.77 (step @p323 :rule refl :args (@t32)) % 152.54/152.77 (step @p324 :rule cong :premises (@p323 @p322) :args (@t34)) % 152.54/152.77 (step @p325 :rule true_intro :premises (@p112)) % 152.54/152.77 (step @p326 :rule symm :premises (@p325)) % 152.54/152.77 (step @p327 :rule trans :premises (@p326 @p324 @p321)) % 152.54/152.77 (step @p328 false :rule eq_resolve :premises (@p327 @p320)) % 152.54/152.77 (step-pop @p612 :rule scope :premises (@p328)) % 152.54/152.77 (step-pop @p613 :rule scope :premises (@p612)) % 152.54/152.77 (step-pop @p614 :rule scope :premises (@p613)) % 152.54/152.77 (step @p329 :rule process_scope :premises (@p614) :args (false)) % 152.54/152.77 (assume-push @p615 @t34) % 152.54/152.77 (assume-push @p616 @t182) % 152.54/152.77 (assume-push @p617 @t179) % 152.54/152.77 (step @p336 :rule and_intro :premises (@p165 @p617 @p112)) % 152.54/152.77 (step-pop @p618 :rule scope :premises (@p336)) % 152.54/152.77 (step-pop @p619 :rule scope :premises (@p618)) % 152.54/152.77 (step-pop @p620 :rule scope :premises (@p619)) % 152.54/152.77 (step @p337 :rule process_scope :premises (@p620) :args (@t183)) % 152.54/152.77 (step @p341 :rule implies_elim :premises (@p337)) % 152.54/152.77 (step @p342 :rule resolution :premises (@p341 @p329) :args (true @t183)) % 152.54/152.77 (step @p343 :rule not_and :premises (@p342)) % 152.54/152.77 (step @p344 :rule eq_resolve :premises (@p343 @p316)) % 152.54/152.77 (step @p345 :rule reordering :premises (@p344) :args ((or @t68 @t93 @t181))) % 152.54/152.77 (step @p346 :rule chain_m_resolution :premises (@p345 @p165 @p112) :args (@t181 @t115 (@list @t68 @t34))) % 152.54/152.77 (step @p347 :rule cnf_or_pos :args (@t180)) % 152.54/152.77 (step @p348 :rule reordering :premises (@p347) :args ((or @t177 @t179 (not @t180)))) % 152.54/152.77 (step @p349 :rule chain_m_resolution :premises (@p348 @p346 @p312) :args (@t177 @t115 (@list @t179 @t180))) % 152.54/152.77 (step @p350 :rule refl :args (@t186)) % 152.54/152.77 (step @p351 :rule bool-double-not-elim :args (@t39)) % 152.54/152.77 (step @p352 :rule nary_cong :premises (@p351 @p350) :args ((or (not @t177) @t186))) % 152.54/152.77 (assume-push @p621 @t177) % 152.54/152.77 (step @p354 :rule skolemize :premises (@p621)) % 152.54/152.77 (step-pop @p622 :rule scope :premises (@p354)) % 152.54/152.77 (step @p355 :rule process_scope :premises (@p622) :args (@t186)) % 152.54/152.77 (step @p357 :rule implies_elim :premises (@p355)) % 152.54/152.77 (step @p358 :rule eq_resolve :premises (@p357 @p352)) % 152.54/152.77 (step @p359 :rule chain_m_resolution :premises (@p358 @p349) :args (@t186 @t59 (@list @t39))) % 152.54/152.77 (step @p360 :rule refl :args (@t187)) % 152.54/152.77 (step @p361 :rule refl :args (@t126)) % 152.54/152.77 (step @p362 :rule refl :args (@t189)) % 152.54/152.77 (step @p363 :rule bool-double-not-elim :args (@t185)) % 152.54/152.77 (step @p364 :rule nary_cong :premises (@p363 @p362 @p361 @p360) :args ((or @t190 @t189 @t126 @t187))) % 152.54/152.77 (assume-push @p623 @t188) % 152.54/152.77 (assume-push @p624 @t124) % 152.54/152.77 (assume-push @p625 @t166) % 152.54/152.77 (assume-push @p626 @t186) % 152.54/152.77 (step @p369 :rule evaluate :args (@t191)) % 152.54/152.77 (step @p370 :rule symm :premises (@p624)) % 152.54/152.77 (step @p371 :rule trans :premises (@p625 @p370 @p299)) % 152.54/152.77 (step @p372 :rule symm :premises (@p371)) % 152.54/152.77 (step @p373 :rule true_intro :premises (@p372)) % 152.54/152.77 (step @p374 :rule false_intro :premises (@p626)) % 152.54/152.77 (step @p375 :rule symm :premises (@p374)) % 152.54/152.77 (step @p376 :rule trans :premises (@p375 @p373)) % 152.54/152.77 (step @p377 false :rule eq_resolve :premises (@p376 @p369)) % 152.54/152.77 (step-pop @p627 :rule scope :premises (@p377)) % 152.54/152.77 (step-pop @p628 :rule scope :premises (@p627)) % 152.54/152.77 (step-pop @p629 :rule scope :premises (@p628)) % 152.54/152.77 (step-pop @p630 :rule scope :premises (@p629)) % 152.54/152.77 (step @p378 :rule process_scope :premises (@p630) :args (false)) % 152.54/152.77 (assume-push @p631 @t186) % 152.54/152.77 (assume-push @p632 @t188) % 152.54/152.77 (assume-push @p633 @t124) % 152.54/152.77 (assume-push @p634 @t166) % 152.54/152.77 (step @p387 :rule and_intro :premises (@p299 @p633 @p634 @p631)) % 152.54/152.77 (step-pop @p635 :rule scope :premises (@p387)) % 152.54/152.77 (step-pop @p636 :rule scope :premises (@p635)) % 152.54/152.77 (step-pop @p637 :rule scope :premises (@p636)) % 152.54/152.77 (step-pop @p638 :rule scope :premises (@p637)) % 152.54/152.77 (step @p388 :rule process_scope :premises (@p638) :args (@t192)) % 152.54/152.77 (step @p393 :rule implies_elim :premises (@p388)) % 152.54/152.77 (step @p394 :rule resolution :premises (@p393 @p378) :args (true @t192)) % 152.54/152.77 (step @p395 :rule not_and :premises (@p394)) % 152.54/152.77 (step @p396 :rule eq_resolve :premises (@p395 @p364)) % 152.54/152.77 (step @p397 :rule chain_m_resolution :premises (@p396 @p359 @p299 @p295 @p293 @p291 @p277 @p275 @p260 @p240 @p172 @p165) :args (@t126 (@list true false false false false true false false false true true) (@list @t185 @t188 @t166 @t167 @t170 @t160 @t165 @t158 @t155 @t125 @t68))) % 152.54/152.77 (step @p398 :rule cnf_equiv_neg2 :args (@t194)) % 152.54/152.77 (step @p399 :rule cnf_ite_neg3 :args (@t195)) % 152.54/152.77 (step @p400 :rule reordering :premises (@p399) :args ((or @t93 @t196 @t195))) % 152.54/152.77 (step @p401 :rule cong :premises (@p264 @p6 @p263) :args (@t197)) % 152.54/152.77 (step @p402 :rule refl :args (@t193)) % 152.54/152.77 (step @p403 :rule cong :premises (@p402 @p401) :args ((= @t193 @t197))) % 152.54/152.77 (step @p404 :rule eq-symm :args (@t197 @t193)) % 152.54/152.77 (step @p405 :rule trans :premises (@p404 @p403)) % 152.54/152.77 (step @p406 :rule cong :premises (@p24 @p405) :args ((=> @t56 @t198))) % 152.54/152.77 (assume-push @p639 @t56) % 152.54/152.77 (step @p408 :rule instantiate :premises (@p40) :args (@t164)) % 152.54/152.77 (step-pop @p640 :rule scope :premises (@p408)) % 152.54/152.77 (step @p409 :rule process_scope :premises (@p640) :args (@t198)) % 152.54/152.77 (step @p411 :rule eq_resolve :premises (@p409 @p406)) % 152.54/152.77 (step @p412 :rule implies_elim :premises (@p411)) % 152.54/152.77 (step @p413 :rule chain_m_resolution :premises (@p412 @p40) :args (@t199 @t52 @t67)) % 152.54/152.77 (step @p414 :rule cnf_equiv_pos2 :args (@t199)) % 152.54/152.77 (step @p415 :rule reordering :premises (@p414) :args ((or @t193 @t201 @t200))) % 152.54/152.77 (step @p416 :rule chain_m_resolution :premises (@p415 @p413 @p400 @p112 @p398) :args ((or @t194 @t196) (@list false false false true) (@list @t199 @t195 @t34 @t193))) % 152.54/152.77 (step @p417 :rule cnf_equiv_neg1 :args (@t194)) % 152.54/152.77 (step @p418 :rule reordering :premises (@p417) :args ((or @t123 @t193 @t194))) % 152.54/152.77 (step @p419 :rule cnf_ite_pos2 :args (@t195)) % 152.54/152.77 (step @p420 :rule reordering :premises (@p419) :args ((or @t123 @t124 @t201))) % 152.54/152.77 (step @p421 :rule cnf_equiv_pos1 :args (@t199)) % 152.54/152.77 (step @p422 :rule reordering :premises (@p421) :args ((or (not @t193) @t195 @t200))) % 152.54/152.77 (step @p423 :rule chain_m_resolution :premises (@p422 @p413 @p420 @p418 @p416) :args ((or @t194 @t124) (@list false true false true) (@list @t199 @t195 @t193 @t123))) % 152.54/152.77 (step @p424 :rule chain_m_resolution :premises (@p423 @p397) :args (@t194 @t59 (@list @t124))) % 152.54/152.77 (step @p425 :rule refl :args (@t202)) % 152.54/152.77 (step @p426 :rule bool-double-not-elim :args (@t121)) % 152.54/152.77 (step @p427 :rule nary_cong :premises (@p426 @p425) :args ((or (not @t203) @t202))) % 152.54/152.77 (assume-push @p641 @t203) % 152.54/152.77 (step @p429 :rule skolemize :premises (@p641)) % 152.54/152.77 (step-pop @p642 :rule scope :premises (@p429)) % 152.54/152.77 (step @p430 :rule process_scope :premises (@p642) :args (@t202)) % 152.54/152.77 (step @p432 :rule implies_elim :premises (@p430)) % 152.54/152.77 (step @p433 :rule eq_resolve :premises (@p432 @p427)) % 152.54/152.77 (step @p434 :rule chain_m_resolution :premises (@p433 @p424) :args (@t121 @t52 (@list @t194))) % 152.54/152.77 (step @p435 :rule cnf_or_pos :args (@t205)) % 152.54/152.77 (step @p436 :rule reordering :premises (@p435) :args ((or @t203 @t204 (not @t205)))) % 152.54/152.77 (step @p437 :rule chain_m_resolution :premises (@p436 @p434 @p170) :args (@t204 @t94 (@list @t121 @t205))) % 152.54/152.77 (step @p438 :rule instantiate :premises (@p169) :args ((@list @t29 @t104))) % 152.54/152.77 (step @p439 :rule cnf_equiv_neg2 :args (@t210)) % 152.54/152.77 (step @p440 :rule refl :args (@t209)) % 152.54/152.77 (step @p441 :rule eq-symm :args (@t207 @t40)) % 152.54/152.77 (step @p442 :rule cong :premises (@p441 @p116 @p440) :args (@t211)) % 152.54/152.77 (step @p443 :rule refl :args (@t208)) % 152.54/152.77 (step @p444 :rule cong :premises (@p443 @p442) :args ((= @t208 @t211))) % 152.54/152.77 (step @p445 :rule eq-symm :args (@t211 @t208)) % 152.54/152.77 (step @p446 :rule trans :premises (@p445 @p444)) % 152.54/152.77 (step @p447 :rule cong :premises (@p131 @p446) :args ((=> @t106 @t212))) % 152.54/152.77 (assume-push @p643 @t106) % 152.54/152.77 (step @p449 :rule instantiate :premises (@p147) :args (@t213)) % 152.54/152.77 (step-pop @p644 :rule scope :premises (@p449)) % 152.54/152.77 (step @p450 :rule process_scope :premises (@p644) :args (@t212)) % 152.54/152.77 (step @p452 :rule eq_resolve :premises (@p450 @p447)) % 152.54/152.77 (step @p453 :rule implies_elim :premises (@p452)) % 152.54/152.77 (step @p454 :rule chain_m_resolution :premises (@p453 @p147) :args (@t216 @t52 @t113)) % 152.54/152.77 (step @p455 :rule cnf_equiv_pos2 :args (@t216)) % 152.54/152.77 (step @p456 :rule reordering :premises (@p455) :args ((or @t208 @t218 @t217))) % 152.54/152.77 (step @p457 :rule cnf_ite_neg2 :args (@t215)) % 152.54/152.77 (step @p458 :rule reordering :premises (@p457) :args ((or @t219 @t214 @t215))) % 152.54/152.77 (assume-push @p645 @t214) % 152.54/152.77 (assume-push @p646 @t155) % 152.54/152.77 (assume-push @p647 @t155) % 152.54/152.77 (assume-push @p648 @t214) % 152.54/152.77 (step @p245 :rule true_intro :premises (@p240)) % 152.54/152.77 (step @p463 :rule symm :premises (@p645)) % 152.54/152.77 (step @p464 :rule cong :premises (@p234 @p463) :args (@t220)) % 152.54/152.77 (step @p465 :rule trans :premises (@p464 @p245)) % 152.54/152.77 (step @p466 :rule true_elim :premises (@p465)) % 152.54/152.77 (step-pop @p649 :rule scope :premises (@p466)) % 152.54/152.77 (step-pop @p650 :rule scope :premises (@p649)) % 152.54/152.77 (step @p467 :rule process_scope :premises (@p650) :args (@t220)) % 152.54/152.77 (step @p470 :rule and_intro :premises (@p240 @p645)) % 152.54/152.77 (step @p471 :rule modus_ponens :premises (@p470 @p467)) % 152.54/152.77 (step-pop @p651 :rule scope :premises (@p471)) % 152.54/152.77 (step-pop @p652 :rule scope :premises (@p651)) % 152.54/152.77 (step @p472 :rule process_scope :premises (@p652) :args (@t220)) % 152.54/152.77 (step @p475 :rule implies_elim :premises (@p472)) % 152.54/152.77 (step @p476 :rule cnf_and_neg :args (@t221)) % 152.54/152.77 (step @p477 :rule resolution :premises (@p476 @p475) :args (true @t221)) % 152.54/152.77 (step @p478 :rule eq-symm :args (@t223 @t220)) % 152.54/152.77 (step @p479 :rule refl :args (@t220)) % 152.54/152.77 (step @p480 :rule eq-symm :args (@t207 @t127)) % 152.54/152.77 (step @p481 :rule cong :premises (@p480 @p6 @p443) :args (@t224)) % 152.54/152.77 (step @p482 :rule cong :premises (@p481 @p479) :args (@t225)) % 152.54/152.77 (step @p483 :rule trans :premises (@p482 @p478)) % 152.54/152.77 (step @p484 :rule cong :premises (@p191 @p483) :args ((=> @t139 @t225))) % 152.54/152.77 (assume-push @p653 @t139) % 152.54/152.77 (step @p486 :rule instantiate :premises (@p207) :args (@t213)) % 152.54/152.77 (step-pop @p654 :rule scope :premises (@p486)) % 152.54/152.77 (step @p487 :rule process_scope :premises (@p654) :args (@t225)) % 152.54/152.77 (step @p489 :rule eq_resolve :premises (@p487 @p484)) % 152.54/152.77 (step @p490 :rule implies_elim :premises (@p489)) % 152.54/152.77 (step @p491 :rule chain_m_resolution :premises (@p490 @p207) :args (@t226 @t52 @t147)) % 152.54/152.77 (step @p492 :rule cnf_equiv_pos1 :args (@t226)) % 152.54/152.77 (step @p493 :rule reordering :premises (@p492) :args ((or @t223 (not @t220) (not @t226)))) % 152.54/152.77 (step @p494 :rule cnf_ite_pos2 :args (@t223)) % 152.54/152.77 (step @p495 :rule reordering :premises (@p494) :args ((or @t208 @t222 (not @t223)))) % 152.54/152.77 (step @p496 :rule refl :args (@t227)) % 152.54/152.77 (step @p497 :rule refl :args (@t228)) % 152.54/152.77 (step @p498 :rule nary_cong :premises (@p363 @p362 @p497 @p496) :args ((or @t190 @t189 @t228 @t227))) % 152.54/152.77 (assume-push @p655 @t188) % 152.54/152.77 (assume-push @p656 @t214) % 152.54/152.77 (assume-push @p657 @t222) % 152.54/152.77 (assume-push @p658 @t186) % 152.54/152.77 (step @p369 :rule evaluate :args (@t191)) % 152.54/152.77 (step @p503 :rule symm :premises (@p656)) % 152.54/152.77 (step @p504 :rule trans :premises (@p657 @p503 @p299)) % 152.54/152.77 (step @p505 :rule symm :premises (@p504)) % 152.54/152.77 (step @p506 :rule true_intro :premises (@p505)) % 152.54/152.77 (step @p507 :rule false_intro :premises (@p658)) % 152.54/152.77 (step @p508 :rule symm :premises (@p507)) % 152.54/152.77 (step @p509 :rule trans :premises (@p508 @p506)) % 152.54/152.77 (step @p510 false :rule eq_resolve :premises (@p509 @p369)) % 152.54/152.77 (step-pop @p659 :rule scope :premises (@p510)) % 152.54/152.77 (step-pop @p660 :rule scope :premises (@p659)) % 152.54/152.77 (step-pop @p661 :rule scope :premises (@p660)) % 152.54/152.77 (step-pop @p662 :rule scope :premises (@p661)) % 152.54/152.77 (step @p511 :rule process_scope :premises (@p662) :args (false)) % 152.54/152.77 (assume-push @p663 @t186) % 152.54/152.77 (assume-push @p664 @t188) % 152.54/152.77 (assume-push @p665 @t214) % 152.54/152.77 (assume-push @p666 @t222) % 152.54/152.77 (step @p520 :rule and_intro :premises (@p299 @p665 @p666 @p663)) % 152.54/152.77 (step-pop @p667 :rule scope :premises (@p520)) % 152.54/152.77 (step-pop @p668 :rule scope :premises (@p667)) % 152.54/152.77 (step-pop @p669 :rule scope :premises (@p668)) % 152.54/152.77 (step-pop @p670 :rule scope :premises (@p669)) % 152.54/152.77 (step @p521 :rule process_scope :premises (@p670) :args (@t229)) % 152.54/152.77 (step @p526 :rule implies_elim :premises (@p521)) % 152.54/152.77 (step @p527 :rule resolution :premises (@p526 @p511) :args (true @t229)) % 152.54/152.77 (step @p528 :rule not_and :premises (@p527)) % 152.54/152.77 (step @p529 :rule eq_resolve :premises (@p528 @p498)) % 152.54/152.77 (step @p530 :rule chain_m_resolution :premises (@p529 @p359 @p299 @p495 @p493 @p491 @p477 @p240 @p458 @p456 @p454 @p439) :args ((or @t210 @t219) (@list true false false false false false false false true false true) (@list @t185 @t188 @t222 @t223 @t226 @t220 @t155 @t214 @t215 @t216 @t208))) % 152.54/152.77 (step @p531 :rule cnf_equiv_neg1 :args (@t210)) % 152.54/152.77 (step @p532 :rule reordering :premises (@p531) :args ((or @t209 @t208 @t210))) % 152.54/152.77 (step @p533 :rule cnf_ite_pos3 :args (@t215)) % 152.54/152.77 (step @p534 :rule reordering :premises (@p533) :args ((or @t68 @t209 @t218))) % 152.54/152.77 (step @p535 :rule cnf_equiv_pos1 :args (@t216)) % 152.54/152.77 (step @p536 :rule reordering :premises (@p535) :args ((or (not @t208) @t215 @t217))) % 152.54/152.77 (step @p537 :rule chain_m_resolution :premises (@p536 @p454 @p534 @p165 @p532 @p530) :args (@t210 (@list false true true false true) (@list @t216 @t215 @t68 @t208 @t209))) % 152.54/152.77 (step @p538 :rule refl :args (@t230)) % 152.54/152.77 (step @p539 :rule bool-double-not-elim :args (@t206)) % 152.54/152.77 (step @p540 :rule nary_cong :premises (@p539 @p538) :args ((or (not @t231) @t230))) % 152.54/152.77 (assume-push @p671 @t231) % 152.54/152.77 (step @p542 :rule skolemize :premises (@p671)) % 152.54/152.77 (step-pop @p672 :rule scope :premises (@p542)) % 152.54/152.77 (step @p543 :rule process_scope :premises (@p672) :args (@t230)) % 152.54/152.77 (step @p545 :rule implies_elim :premises (@p543)) % 152.54/152.77 (step @p546 :rule eq_resolve :premises (@p545 @p540)) % 152.54/152.77 (step @p547 :rule chain_m_resolution :premises (@p546 @p537) :args (@t206 @t52 (@list @t210))) % 152.54/152.77 (step @p548 :rule cnf_or_pos :args (@t233)) % 152.54/152.77 (step @p549 :rule reordering :premises (@p548) :args ((or @t231 @t232 (not @t233)))) % 152.54/152.77 (step @p550 :rule chain_m_resolution :premises (@p549 @p547 @p438) :args (@t232 @t94 (@list @t206 @t233))) % 152.54/152.77 (step @p551 :rule bool-double-not-elim :args (@t109)) % 152.54/152.77 (step @p552 :rule refl :args (@t234)) % 152.54/152.77 (step @p553 :rule refl :args (@t235)) % 152.54/152.77 (step @p554 :rule refl :args (@t236)) % 152.54/152.77 (step @p555 :rule nary_cong :premises (@p554 @p553 @p552 @p551) :args ((or @t236 @t235 @t234 (not @t114)))) % 152.54/152.77 (assume-push @p673 @t60) % 152.54/152.77 (assume-push @p674 @t204) % 152.54/152.77 (assume-push @p675 @t232) % 152.54/152.77 (assume-push @p676 @t114) % 152.54/152.77 (step @p369 :rule evaluate :args (@t191)) % 152.54/152.77 (step @p560 :rule true_intro :premises (@p115)) % 152.54/152.77 (step @p561 :rule refl :args (@t40)) % 152.54/152.77 (step @p562 :rule cong :premises (@p674 @p561) :args (@t61)) % 152.54/152.77 (step @p563 :rule symm :premises (@p675)) % 152.54/152.77 (step @p564 :rule cong :premises (@p563 @p561) :args (@t109)) % 152.54/152.77 (step @p565 :rule false_intro :premises (@p168)) % 152.54/152.77 (step @p566 :rule symm :premises (@p565)) % 152.54/152.77 (step @p567 :rule trans :premises (@p566 @p564 @p562 @p560)) % 152.54/152.77 (step @p568 false :rule eq_resolve :premises (@p567 @p369)) % 152.54/152.77 (step-pop @p677 :rule scope :premises (@p568)) % 152.54/152.77 (step-pop @p678 :rule scope :premises (@p677)) % 152.54/152.77 (step-pop @p679 :rule scope :premises (@p678)) % 152.54/152.77 (step-pop @p680 :rule scope :premises (@p679)) % 152.54/152.77 (step @p569 :rule process_scope :premises (@p680) :args (false)) % 152.54/152.77 (step @p574 :rule not_and :premises (@p569)) % 152.54/152.77 (step @p575 :rule eq_resolve :premises (@p574 @p555)) % 152.54/152.77 (step @p576 false :rule chain_m_resolution :premises (@p575 @p550 @p437 @p168 @p115) :args (false (@list false false true false) (@list @t232 @t204 @t109 @t60))) % 152.54/152.77 ) % 152.54/152.77 % SZS output end Proof % 152.54/152.77 % cvc5 exiting %------------------------------------------------------------------------------