%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU558^2 : TPTP v9.2.1. Bugfixed v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:52:11 AM UTC 2026 % Result : Theorem 151.80s 152.23s % Output : Proof 151.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SEU558^2 : TPTP v9.2.1. Bugfixed v4.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n007.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:40:57 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.51 %----Proving TH0 % 151.80/152.23 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 151.80/152.23 --- 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... % 151.80/152.23 --- 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... % 151.80/152.23 --- Run --ho-elim --full-saturate-quant at 18s... % 151.80/152.23 % SZS status Theorem % 151.80/152.23 % SZS output start Proof % 151.80/152.23 ( % 151.80/152.23 (declare-sort $$unsorted 0) % 151.80/152.23 (declare-const tptp.setext Bool) % 151.80/152.23 (declare-const tptp.dsetconstrER Bool) % 151.80/152.23 (declare-const tptp.dsetconstrEL Bool) % 151.80/152.23 (declare-const tptp.dsetconstrI Bool) % 151.80/152.23 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 151.80/152.23 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) % 151.80/152.23 (define @t1 () (@var "Xy" $$unsorted)) % 151.80/152.23 (define @t2 () (@var "Xphi" (-> $$unsorted Bool))) % 151.80/152.23 (define @t3 () (_ @t2 @t1)) % 151.80/152.23 (define @t4 () (@list @t1)) % 151.80/152.23 (define @t5 () (lambda @t4 @t3)) % 151.80/152.23 (define @t6 () (@var "A" $$unsorted)) % 151.80/152.23 (define @t7 () (_ tptp.dsetconstr @t6)) % 151.80/152.23 (define @t8 () (_ @t7 @t5)) % 151.80/152.23 (define @t9 () (@var "Xx" $$unsorted)) % 151.80/152.23 (define @t10 () (_ tptp.in @t9)) % 151.80/152.23 (define @t11 () (_ @t10 @t8)) % 151.80/152.23 (define @t12 () (_ @t2 @t9)) % 151.80/152.23 (define @t13 () (=> @t12 @t11)) % 151.80/152.23 (define @t14 () (_ @t10 @t6)) % 151.80/152.23 (define @t15 () (@list @t6 @t2 @t9)) % 151.80/152.23 (define @t16 () (forall @t15 (=> @t14 @t13))) % 151.80/152.23 (define @t17 () (= tptp.dsetconstrI @t16)) % 151.80/152.23 (define @t18 () (forall @t15 (=> @t11 @t14))) % 151.80/152.23 (define @t19 () (= tptp.dsetconstrEL @t18)) % 151.80/152.23 (define @t20 () (forall @t15 (=> @t11 @t12))) % 151.80/152.23 (define @t21 () (= tptp.dsetconstrER @t20)) % 151.80/152.23 (define @t22 () (@var "B" $$unsorted)) % 151.80/152.23 (define @t23 () (= @t6 @t22)) % 151.80/152.23 (define @t24 () (_ @t10 @t22)) % 151.80/152.23 (define @t25 () (@list @t9)) % 151.80/152.23 (define @t26 () (forall @t25 (=> @t24 @t14))) % 151.80/152.23 (define @t27 () (=> @t26 @t23)) % 151.80/152.23 (define @t28 () (forall @t25 (=> @t14 @t24))) % 151.80/152.23 (define @t29 () (=> @t28 @t27)) % 151.80/152.23 (define @t30 () (@list @t6 @t22)) % 151.80/152.23 (define @t31 () (forall @t30 @t29)) % 151.80/152.23 (define @t32 () (= tptp.setext @t31)) % 151.80/152.23 (define @t33 () (@var "Xpsi" (-> $$unsorted Bool))) % 151.80/152.23 (define @t34 () (_ @t33 @t9)) % 151.80/152.23 (define @t35 () (lambda @t25 @t34)) % 151.80/152.23 (define @t36 () (_ tptp.dsetconstr @t22)) % 151.80/152.23 (define @t37 () (_ @t36 @t35)) % 151.80/152.23 (define @t38 () (lambda @t25 @t12)) % 151.80/152.23 (define @t39 () (_ @t7 @t38)) % 151.80/152.23 (define @t40 () (= @t39 @t37)) % 151.80/152.23 (define @t41 () (_ @t33 @t1)) % 151.80/152.23 (define @t42 () (= @t12 @t41)) % 151.80/152.23 (define @t43 () (= @t9 @t1)) % 151.80/152.23 (define @t44 () (=> @t43 @t42)) % 151.80/152.23 (define @t45 () (_ (_ tptp.in @t1) @t22)) % 151.80/152.23 (define @t46 () (forall @t4 (=> @t45 @t44))) % 151.80/152.23 (define @t47 () (=> @t14 @t46)) % 151.80/152.23 (define @t48 () (forall @t25 @t47)) % 151.80/152.23 (define @t49 () (=> @t48 @t40)) % 151.80/152.23 (define @t50 () (@list @t2 @t33)) % 151.80/152.23 (define @t51 () (forall @t50 @t49)) % 151.80/152.23 (define @t52 () (=> @t23 @t51)) % 151.80/152.23 (define @t53 () (forall @t30 @t52)) % 151.80/152.23 (define @t54 () (=> tptp.setext @t53)) % 151.80/152.23 (define @t55 () (=> tptp.dsetconstrER @t54)) % 151.80/152.23 (define @t56 () (=> tptp.dsetconstrEL @t55)) % 151.80/152.23 (define @t57 () (=> tptp.dsetconstrI @t56)) % 151.80/152.23 (define @t58 () (not @t57)) % 151.80/152.23 (define @t59 () (@var "BOUND_VARIABLE_7694" (@ho-elim-sort (-> $$unsorted Bool)))) % 151.80/152.23 (define @t60 () (@const 0 (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)))) % 151.80/152.23 (define @t61 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)) $$unsorted (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted))))) % 151.80/152.23 (define @t62 () (_ @t61 @t60 @t22)) % 151.80/152.23 (define @t63 () (@const 2 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)) (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted))) % 151.80/152.23 (define @t64 () (_ @t63 @t62 @t59)) % 151.80/152.23 (define @t65 () (@var "BOUND_VARIABLE_7679" (@ho-elim-sort (-> $$unsorted Bool)))) % 151.80/152.23 (define @t66 () (_ @t63 @t62 @t65)) % 151.80/152.23 (define @t67 () (@const 3 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) % 151.80/152.23 (define @t68 () (_ @t67 @t65 @t9)) % 151.80/152.23 (define @t69 () (_ @t67 @t59 @t9)) % 151.80/152.23 (define @t70 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) % 151.80/152.23 (define @t71 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) % 151.80/152.23 (define @t72 () (_ @t71 @t70 @t9)) % 151.80/152.23 (define @t73 () (_ @t67 @t72 @t22)) % 151.80/152.23 (define @t74 () (not @t73)) % 151.80/152.23 (define @t75 () (or @t74 (= @t68 @t69))) % 151.80/152.23 (define @t76 () (forall @t25 @t75)) % 151.80/152.23 (define @t77 () (not @t76)) % 151.80/152.23 (define @t78 () (or @t77 (= @t64 @t66))) % 151.80/152.23 (define @t79 () (@list @t22 @t65 @t59)) % 151.80/152.23 (define @t80 () (forall @t79 @t78)) % 151.80/152.23 (define @t81 () (_ @t67 @t72 @t6)) % 151.80/152.23 (define @t82 () (not @t81)) % 151.80/152.23 (define @t83 () (forall @t30 (or (not (forall @t25 (or @t82 @t73))) (not (forall @t25 (or @t74 @t81))) @t23))) % 151.80/152.23 (define @t84 () (=> @t83 @t80)) % 151.80/152.23 (define @t85 () (@var "BOUND_VARIABLE_7726" (@ho-elim-sort (-> $$unsorted Bool)))) % 151.80/152.23 (define @t86 () (_ @t67 @t85 @t9)) % 151.80/152.23 (define @t87 () (_ @t67 @t72 (_ @t63 (_ @t61 @t60 @t6) @t85))) % 151.80/152.23 (define @t88 () (not @t87)) % 151.80/152.23 (define @t89 () (@list @t6 @t85 @t9)) % 151.80/152.23 (define @t90 () (forall @t89 (or @t88 @t86))) % 151.80/152.23 (define @t91 () (=> @t90 @t84)) % 151.80/152.23 (define @t92 () (forall @t89 (or @t88 @t81))) % 151.80/152.23 (define @t93 () (=> @t92 @t91)) % 151.80/152.23 (define @t94 () (forall @t89 (or @t82 (not @t86) @t87))) % 151.80/152.23 (define @t95 () (=> @t94 @t93)) % 151.80/152.23 (define @t96 () (not @t95)) % 151.80/152.23 (define @t97 () (@var "BOUND_VARIABLE_7592" (-> $$unsorted Bool))) % 151.80/152.23 (define @t98 () (tptp.dsetconstr @t22 @t97)) % 151.80/152.23 (define @t99 () (@var "BOUND_VARIABLE_7594" (-> $$unsorted Bool))) % 151.80/152.23 (define @t100 () (tptp.dsetconstr @t22 @t99)) % 151.80/152.23 (define @t101 () (= @t100 @t98)) % 151.80/152.23 (define @t102 () (= (_ @t97 @t9) (_ @t99 @t9))) % 151.80/152.23 (define @t103 () (tptp.in @t9 @t22)) % 151.80/152.23 (define @t104 () (not @t103)) % 151.80/152.23 (define @t105 () (or @t104 @t102)) % 151.80/152.23 (define @t106 () (not (forall @t25 @t105))) % 151.80/152.23 (define @t107 () (or @t106 @t101)) % 151.80/152.23 (define @t108 () (@list @t22 @t97 @t99)) % 151.80/152.23 (define @t109 () (forall @t108 @t107)) % 151.80/152.23 (define @t110 () (tptp.in @t9 @t6)) % 151.80/152.23 (define @t111 () (forall @t25 (or @t104 @t110))) % 151.80/152.23 (define @t112 () (not @t111)) % 151.80/152.23 (define @t113 () (not @t110)) % 151.80/152.23 (define @t114 () (forall @t25 (or @t113 @t103))) % 151.80/152.23 (define @t115 () (not @t114)) % 151.80/152.23 (define @t116 () (or @t115 @t112 @t23)) % 151.80/152.23 (define @t117 () (_ @t2 @t9)) % 151.80/152.23 (define @t118 () (tptp.dsetconstr @t6 @t2)) % 151.80/152.23 (define @t119 () (tptp.in @t9 @t118)) % 151.80/152.23 (define @t120 () (not @t119)) % 151.80/152.23 (define @t121 () (not @t117)) % 151.80/152.23 (define @t122 () (=> @t111 @t23)) % 151.80/152.23 (define @t123 () (not @t24)) % 151.80/152.23 (define @t124 () (or @t123 @t14)) % 151.80/152.23 (define @t125 () (not @t14)) % 151.80/152.23 (define @t126 () (or @t125 @t24)) % 151.80/152.23 (define @t127 () (=> tptp.setext @t109)) % 151.80/152.23 (define @t128 () (_ @t2 @t1)) % 151.80/152.23 (define @t129 () (lambda @t4 @t128)) % 151.80/152.23 (define @t130 () (tptp.dsetconstr @t6 @t129)) % 151.80/152.23 (define @t131 () (tptp.in @t9 @t130)) % 151.80/152.23 (define @t132 () (not @t131)) % 151.80/152.23 (define @t133 () (or @t132 @t117)) % 151.80/152.23 (define @t134 () (not @t11)) % 151.80/152.23 (define @t135 () (or @t134 @t12)) % 151.80/152.23 (define @t136 () (=> tptp.dsetconstrER @t127)) % 151.80/152.23 (define @t137 () (or @t132 @t110)) % 151.80/152.23 (define @t138 () (or @t134 @t14)) % 151.80/152.23 (define @t139 () (=> tptp.dsetconstrEL @t136)) % 151.80/152.23 (define @t140 () (or @t113 @t121 @t131)) % 151.80/152.23 (define @t141 () (not @t12)) % 151.80/152.23 (define @t142 () (or @t125 @t141 @t11)) % 151.80/152.23 (define @t143 () (=> tptp.dsetconstrI @t139)) % 151.80/152.23 (define @t144 () (or @t104 @t104 @t102)) % 151.80/152.23 (define @t145 () (forall @t25 @t144)) % 151.80/152.23 (define @t146 () (not @t145)) % 151.80/152.23 (define @t147 () (not (= @t22 @t22))) % 151.80/152.23 (define @t148 () (or @t147 @t146 (= @t98 @t100))) % 151.80/152.23 (define @t149 () (= (tptp.dsetconstr @t6 @t97) @t100)) % 151.80/152.23 (define @t150 () (not (forall @t25 (or @t113 @t104 @t102)))) % 151.80/152.23 (define @t151 () (not @t23)) % 151.80/152.23 (define @t152 () (or @t151 @t151 @t150 @t149)) % 151.80/152.23 (define @t153 () (@list @t6)) % 151.80/152.23 (define @t154 () (or @t151 @t150 @t149)) % 151.80/152.23 (define @t155 () (forall @t153 @t154)) % 151.80/152.23 (define @t156 () (forall @t108 @t155)) % 151.80/152.23 (define @t157 () (forall (@list @t22 @t97 @t99 @t6) @t154)) % 151.80/152.23 (define @t158 () (@list @t6 @t22 @t97 @t99)) % 151.80/152.23 (define @t159 () (or @t150 @t149)) % 151.80/152.23 (define @t160 () (or @t151 @t159)) % 151.80/152.23 (define @t161 () (forall @t158 @t160)) % 151.80/152.23 (define @t162 () (@list @t97 @t99)) % 151.80/152.23 (define @t163 () (forall @t162 @t160)) % 151.80/152.23 (define @t164 () (forall @t162 @t159)) % 151.80/152.23 (define @t165 () (or @t151 @t164)) % 151.80/152.23 (define @t166 () (_ @t33 @t9)) % 151.80/152.23 (define @t167 () (= @t117 @t166)) % 151.80/152.23 (define @t168 () (forall @t25 (or @t113 @t104 @t167))) % 151.80/152.23 (define @t169 () (not @t168)) % 151.80/152.23 (define @t170 () (forall @t50 (or @t169 (= @t118 (tptp.dsetconstr @t22 @t33))))) % 151.80/152.23 (define @t171 () (lambda @t25 @t166)) % 151.80/152.23 (define @t172 () (tptp.dsetconstr @t22 @t171)) % 151.80/152.23 (define @t173 () (lambda @t25 @t117)) % 151.80/152.23 (define @t174 () (tptp.dsetconstr @t6 @t173)) % 151.80/152.23 (define @t175 () (= @t174 @t172)) % 151.80/152.23 (define @t176 () (or @t169 @t175)) % 151.80/152.23 (define @t177 () (or @t169 @t40)) % 151.80/152.23 (define @t178 () (or @t125 @t104 @t167)) % 151.80/152.23 (define @t179 () (or @t104 @t167)) % 151.80/152.23 (define @t180 () (not (= @t9 @t9))) % 151.80/152.23 (define @t181 () (or @t104 @t180 @t167)) % 151.80/152.23 (define @t182 () (_ @t33 @t1)) % 151.80/152.23 (define @t183 () (= @t117 @t182)) % 151.80/152.23 (define @t184 () (not @t43)) % 151.80/152.23 (define @t185 () (tptp.in @t1 @t22)) % 151.80/152.23 (define @t186 () (not @t185)) % 151.80/152.23 (define @t187 () (or @t184 @t186 @t184 @t183)) % 151.80/152.23 (define @t188 () (or @t186 @t184 @t183)) % 151.80/152.23 (define @t189 () (not @t45)) % 151.80/152.23 (define @t190 () (or @t189 @t184 @t42)) % 151.80/152.23 (define @t191 () (forall @t79 (or (not (forall @t25 (or @t74 (= @t69 @t68)))) (= @t66 @t64)))) % 151.80/152.23 (define @t192 () (@quantifiers_skolemize @t191 1)) % 151.80/152.23 (define @t193 () (@quantifiers_skolemize @t191 2)) % 151.80/152.23 (define @t194 () (@quantifiers_skolemize @t191 0)) % 151.80/152.23 (define @t195 () (forall @t25 (or (not (_ @t67 @t72 @t194)) (= (_ @t67 @t193 @t9) (_ @t67 @t192 @t9))))) % 151.80/152.23 (define @t196 () (_ @t61 @t60 @t194)) % 151.80/152.23 (define @t197 () (_ @t63 @t196 @t193)) % 151.80/152.23 (define @t198 () (_ @t63 @t196 @t192)) % 151.80/152.23 (define @t199 () (= @t198 @t197)) % 151.80/152.23 (define @t200 () (not @t195)) % 151.80/152.23 (define @t201 () (or @t200 @t199)) % 151.80/152.23 (define @t202 () (@list true)) % 151.80/152.23 (define @t203 () (@list @t201)) % 151.80/152.23 (define @t204 () (_ @t67 @t72 @t198)) % 151.80/152.23 (define @t205 () (_ @t67 @t72 @t197)) % 151.80/152.23 (define @t206 () (forall @t25 (or (not @t205) @t204))) % 151.80/152.23 (define @t207 () (@quantifiers_skolemize @t206 0)) % 151.80/152.23 (define @t208 () (_ @t67 @t193 @t207)) % 151.80/152.23 (define @t209 () (_ @t67 @t192 @t207)) % 151.80/152.23 (define @t210 () (_ @t71 @t70 @t207)) % 151.80/152.23 (define @t211 () (_ @t67 @t210 @t194)) % 151.80/152.23 (define @t212 () (not @t211)) % 151.80/152.23 (define @t213 () (or @t212 (= @t208 @t209))) % 151.80/152.23 (define @t214 () (= @t209 @t208)) % 151.80/152.23 (define @t215 () (or @t212 @t214)) % 151.80/152.23 (define @t216 () (@list false)) % 151.80/152.23 (define @t217 () (@list @t194 @t193 @t207)) % 151.80/152.23 (define @t218 () (forall @t25 (or (not @t204) @t205))) % 151.80/152.23 (define @t219 () (not @t218)) % 151.80/152.23 (define @t220 () (not @t206)) % 151.80/152.23 (define @t221 () (or @t220 @t219 (= @t197 @t198))) % 151.80/152.23 (define @t222 () (or @t220 @t219 @t199)) % 151.80/152.23 (define @t223 () (@quantifiers_skolemize @t218 0)) % 151.80/152.23 (define @t224 () (_ @t71 @t70 @t223)) % 151.80/152.23 (define @t225 () (_ @t67 @t224 @t198)) % 151.80/152.23 (define @t226 () (_ @t67 @t224 @t197)) % 151.80/152.23 (define @t227 () (not @t225)) % 151.80/152.23 (define @t228 () (or @t227 @t226)) % 151.80/152.23 (define @t229 () (@list @t194 @t192 @t223)) % 151.80/152.23 (define @t230 () (_ @t67 @t224 @t194)) % 151.80/152.23 (define @t231 () (or @t227 @t230)) % 151.80/152.23 (define @t232 () (_ @t67 @t192 @t223)) % 151.80/152.23 (define @t233 () (or @t227 @t232)) % 151.80/152.23 (define @t234 () (_ @t67 @t193 @t223)) % 151.80/152.23 (define @t235 () (not @t234)) % 151.80/152.23 (define @t236 () (not @t230)) % 151.80/152.23 (define @t237 () (or @t236 @t235 @t226)) % 151.80/152.23 (define @t238 () (= @t234 @t232)) % 151.80/152.23 (define @t239 () (or @t236 @t238)) % 151.80/152.23 (define @t240 () (not @t228)) % 151.80/152.23 (define @t241 () (@list true false false)) % 151.80/152.23 (define @t242 () (_ @t67 @t210 @t198)) % 151.80/152.23 (define @t243 () (_ @t67 @t210 @t197)) % 151.80/152.23 (define @t244 () (not @t243)) % 151.80/152.23 (define @t245 () (or @t244 @t242)) % 151.80/152.23 (define @t246 () (not @t245)) % 151.80/152.23 (define @t247 () (@list @t245)) % 151.80/152.23 (define @t248 () (or @t244 @t211)) % 151.80/152.23 (define @t249 () (@list false false)) % 151.80/152.23 (define @t250 () (or @t244 @t208)) % 151.80/152.23 (define @t251 () (not @t209)) % 151.80/152.23 (define @t252 () (or @t212 @t251 @t242)) % 151.80/152.23 (assume @p1 @t17) % 151.80/152.23 (assume @p2 @t19) % 151.80/152.23 (assume @p3 @t21) % 151.80/152.23 (assume @p4 @t32) % 151.80/152.23 (assume @p5 @t58) % 151.80/152.23 (assume @p6 true) % 151.80/152.23 (step @p7 :rule eq-symm :args (@t64 @t66)) % 151.80/152.23 (step @p8 :rule eq-symm :args (@t68 @t69)) % 151.80/152.23 (step @p9 :rule refl :args (@t74)) % 151.80/152.23 (step @p10 :rule nary_cong :premises (@p9 @p8) :args (@t75)) % 151.80/152.23 (step @p11 :rule cong :premises (@p10) :args (@t76)) % 151.80/152.23 (step @p12 :rule cong :premises (@p11) :args (@t77)) % 151.80/152.23 (step @p13 :rule nary_cong :premises (@p12 @p7) :args (@t78)) % 151.80/152.23 (step @p14 :rule cong :premises (@p13) :args (@t80)) % 151.80/152.23 (step @p15 :rule refl :args (@t83)) % 151.80/152.23 (step @p16 :rule cong :premises (@p15 @p14) :args (@t84)) % 151.80/152.23 (step @p17 :rule refl :args (@t90)) % 151.80/152.23 (step @p18 :rule cong :premises (@p17 @p16) :args (@t91)) % 151.80/152.23 (step @p19 :rule refl :args (@t92)) % 151.80/152.23 (step @p20 :rule cong :premises (@p19 @p18) :args (@t93)) % 151.80/152.23 (step @p21 :rule refl :args (@t94)) % 151.80/152.23 (step @p22 :rule cong :premises (@p21 @p20) :args (@t95)) % 151.80/152.23 (step @p23 :rule cong :premises (@p22) :args (@t96)) % 151.80/152.23 ; WARNING: add trust step for TRUST % 151.80/152.23 ; trust TRUST PREPROCESS_HO_ELIM % 151.80/152.23 (step @p24 :rule trust :premises () :args ((= (not (=> (forall @t15 (or @t113 @t121 @t119)) (=> (forall @t15 (or @t120 @t110)) (=> (forall @t15 (or @t120 @t117)) (=> (forall @t30 @t116) @t109))))) @t96))) % 151.80/152.23 (step @p25 :rule refl :args (@t109)) % 151.80/152.23 (step @p26 :rule aci_norm :args ((= (or @t115 (or @t112 @t23)) @t116))) % 151.80/152.23 (step @p27 :rule bool-impl-elim :args (@t111 @t23)) % 151.80/152.23 (step @p28 :rule refl :args (@t115)) % 151.80/152.23 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t115 @t122))) % 151.80/152.23 (step @p30 :rule trans :premises (@p29 @p26)) % 151.80/152.23 (step @p31 :rule bool-impl-elim :args (@t114 @t122)) % 151.80/152.23 (step @p32 :rule trans :premises (@p31 @p30)) % 151.80/152.23 (step @p33 :rule cong :premises (@p32) :args ((forall @t30 (=> @t114 @t122)))) % 151.80/152.23 (step @p34 :rule refl :args (@t23)) % 151.80/152.23 (step @p35 :rule refl :args (@t110)) % 151.80/152.23 (step @p36 :rule refl :args (@t14)) % 151.80/152.23 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t14 @t110))) % 151.80/152.23 (step @p38 :rule symm :premises (@p37)) % 151.80/152.23 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 151.80/152.23 (step @p40 :rule refl :args (@t103)) % 151.80/152.23 (step @p41 :rule refl :args (@t24)) % 151.80/152.23 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t24 @t103))) % 151.80/152.23 (step @p43 :rule symm :premises (@p42)) % 151.80/152.23 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 151.80/152.23 (step @p45 :rule cong :premises (@p44) :args (@t123)) % 151.80/152.23 (step @p46 :rule nary_cong :premises (@p45 @p39) :args (@t124)) % 151.80/152.23 (step @p47 :rule cong :premises (@p46) :args ((forall @t25 @t124))) % 151.80/152.23 (step @p48 :rule bool-impl-elim :args (@t24 @t14)) % 151.80/152.23 (step @p49 :rule cong :premises (@p48) :args (@t26)) % 151.80/152.23 (step @p50 :rule trans :premises (@p49 @p47)) % 151.80/152.23 (step @p51 :rule cong :premises (@p50 @p34) :args (@t27)) % 151.80/152.23 (step @p52 :rule cong :premises (@p39) :args (@t125)) % 151.80/152.23 (step @p53 :rule nary_cong :premises (@p52 @p44) :args (@t126)) % 151.80/152.23 (step @p54 :rule cong :premises (@p53) :args ((forall @t25 @t126))) % 151.80/152.23 (step @p55 :rule bool-impl-elim :args (@t14 @t24)) % 151.80/152.23 (step @p56 :rule cong :premises (@p55) :args (@t28)) % 151.80/152.23 (step @p57 :rule trans :premises (@p56 @p54)) % 151.80/152.23 (step @p58 :rule cong :premises (@p57 @p51) :args (@t29)) % 151.80/152.23 (step @p59 :rule cong :premises (@p58) :args (@t31)) % 151.80/152.23 (step @p60 :rule trans :premises (@p59 @p33)) % 151.80/152.23 (step @p61 :rule refl :args (tptp.setext)) % 151.80/152.23 (step @p62 :rule cong :premises (@p61 @p60) :args (@t32)) % 151.80/152.23 (step @p63 :rule eq_resolve :premises (@p4 @p62)) % 151.80/152.23 (step @p64 :rule cong :premises (@p63 @p25) :args (@t127)) % 151.80/152.23 (step @p65 :rule refl :args (@t117)) % 151.80/152.23 (step @p66 :rule lambda-elim :args ((= @t129 @t2))) % 151.80/152.23 (step @p67 :rule refl :args (@t6)) % 151.80/152.23 (step @p68 :rule cong :premises (@p67 @p66) :args (@t130)) % 151.80/152.23 (step @p69 :rule refl :args (@t9)) % 151.80/152.23 (step @p70 :rule cong :premises (@p69 @p68) :args (@t131)) % 151.80/152.23 (step @p71 :rule cong :premises (@p70) :args (@t132)) % 151.80/152.23 (step @p72 :rule nary_cong :premises (@p71 @p65) :args (@t133)) % 151.80/152.23 (step @p73 :rule cong :premises (@p72) :args ((forall @t15 @t133))) % 151.80/152.23 (step @p74 :rule refl :args (@t117)) % 151.80/152.23 (step @p75 :rule refl :args (@t12)) % 151.80/152.23 (step @p76 :rule cong :premises (@p75 @p74) :args ((= @t12 @t117))) % 151.80/152.23 (step @p77 :rule symm :premises (@p76)) % 151.80/152.23 (step @p78 :rule eq_resolve :premises (@p75 @p77)) % 151.80/152.23 (step @p79 :rule refl :args ((tptp.in @t9 @t8))) % 151.80/152.23 (step @p80 :rule refl :args ((tptp.dsetconstr @t6 @t5))) % 151.80/152.23 (step @p81 :rule refl :args (@t128)) % 151.80/152.23 (step @p82 :rule cong :premises (@p81) :args (@t129)) % 151.80/152.23 (step @p83 :rule refl :args (@t6)) % 151.80/152.23 (step @p84 :rule cong :premises (@p83 @p82) :args (@t130)) % 151.80/152.23 (step @p85 :rule trans :premises (@p84 @p80)) % 151.80/152.23 (step @p86 :rule refl :args (@t9)) % 151.80/152.23 (step @p87 :rule cong :premises (@p86 @p85) :args (@t131)) % 151.80/152.23 (step @p88 :rule trans :premises (@p87 @p79)) % 151.80/152.23 (step @p89 :rule refl :args (@t10)) % 151.80/152.23 (step @p90 :rule ho_cong :premises (@p89 @p85)) % 151.80/152.23 (step @p91 :rule cong :premises (@p90 @p88) :args ((= (_ @t10 @t130) @t131))) % 151.80/152.23 (step @p92 :rule symm :premises (@p91)) % 151.80/152.23 (step @p93 :rule refl :args (@t11)) % 151.80/152.23 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 151.80/152.23 (step @p95 :rule refl :args (@t7)) % 151.80/152.23 (step @p96 :rule ho_cong :premises (@p95 @p82)) % 151.80/152.23 (step @p97 :rule cong :premises (@p96 @p85) :args ((= (_ @t7 @t129) @t130))) % 151.80/152.23 (step @p98 :rule symm :premises (@p97)) % 151.80/152.23 (step @p99 :rule refl :args (@t8)) % 151.80/152.23 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 151.80/152.23 (step @p101 :rule refl :args (@t3)) % 151.80/152.23 (step @p102 :rule cong :premises (@p101 @p81) :args ((= @t3 @t128))) % 151.80/152.23 (step @p103 :rule symm :premises (@p102)) % 151.80/152.23 (step @p104 :rule eq_resolve :premises (@p101 @p103)) % 151.80/152.23 (step @p105 :rule cong :premises (@p104) :args (@t5)) % 151.80/152.23 (step @p106 :rule ho_cong :premises (@p95 @p105)) % 151.80/152.23 (step @p107 :rule trans :premises (@p106 @p100)) % 151.80/152.23 (step @p108 :rule ho_cong :premises (@p89 @p107)) % 151.80/152.23 (step @p109 :rule trans :premises (@p108 @p94)) % 151.80/152.23 (step @p110 :rule cong :premises (@p109) :args (@t134)) % 151.80/152.23 (step @p111 :rule nary_cong :premises (@p110 @p78) :args (@t135)) % 151.80/152.23 (step @p112 :rule cong :premises (@p111) :args ((forall @t15 @t135))) % 151.80/152.23 (step @p113 :rule trans :premises (@p112 @p73)) % 151.80/152.23 (step @p114 :rule bool-impl-elim :args (@t11 @t12)) % 151.80/152.23 (step @p115 :rule cong :premises (@p114) :args (@t20)) % 151.80/152.23 (step @p116 :rule trans :premises (@p115 @p113)) % 151.80/152.23 (step @p117 :rule refl :args (tptp.dsetconstrER)) % 151.80/152.23 (step @p118 :rule cong :premises (@p117 @p116) :args (@t21)) % 151.80/152.23 (step @p119 :rule eq_resolve :premises (@p3 @p118)) % 151.80/152.23 (step @p120 :rule cong :premises (@p119 @p64) :args (@t136)) % 151.80/152.23 (step @p121 :rule refl :args (@t110)) % 151.80/152.23 (step @p122 :rule nary_cong :premises (@p71 @p121) :args (@t137)) % 151.80/152.23 (step @p123 :rule cong :premises (@p122) :args ((forall @t15 @t137))) % 151.80/152.23 (step @p124 :rule nary_cong :premises (@p110 @p39) :args (@t138)) % 151.80/152.23 (step @p125 :rule cong :premises (@p124) :args ((forall @t15 @t138))) % 151.80/152.23 (step @p126 :rule trans :premises (@p125 @p123)) % 151.80/152.23 (step @p127 :rule bool-impl-elim :args (@t11 @t14)) % 151.80/152.23 (step @p128 :rule cong :premises (@p127) :args (@t18)) % 151.80/152.23 (step @p129 :rule trans :premises (@p128 @p126)) % 151.80/152.23 (step @p130 :rule refl :args (tptp.dsetconstrEL)) % 151.80/152.23 (step @p131 :rule cong :premises (@p130 @p129) :args (@t19)) % 151.80/152.23 (step @p132 :rule eq_resolve :premises (@p2 @p131)) % 151.80/152.23 (step @p133 :rule cong :premises (@p132 @p120) :args (@t139)) % 151.80/152.23 (step @p134 :rule refl :args (@t121)) % 151.80/152.23 (step @p135 :rule refl :args (@t113)) % 151.80/152.23 (step @p136 :rule nary_cong :premises (@p135 @p134 @p70) :args (@t140)) % 151.80/152.23 (step @p137 :rule cong :premises (@p136) :args ((forall @t15 @t140))) % 151.80/152.23 (step @p138 :rule cong :premises (@p78) :args (@t141)) % 151.80/152.23 (step @p139 :rule nary_cong :premises (@p52 @p138 @p109) :args (@t142)) % 151.80/152.23 (step @p140 :rule cong :premises (@p139) :args ((forall @t15 @t142))) % 151.80/152.23 (step @p141 :rule trans :premises (@p140 @p137)) % 151.80/152.23 (step @p142 :rule aci_norm :args ((= (or @t125 (or @t141 @t11)) @t142))) % 151.80/152.23 (step @p143 :rule bool-impl-elim :args (@t12 @t11)) % 151.80/152.23 (step @p144 :rule refl :args (@t125)) % 151.80/152.23 (step @p145 :rule nary_cong :premises (@p144 @p143) :args ((or @t125 @t13))) % 151.80/152.23 (step @p146 :rule trans :premises (@p145 @p142)) % 151.80/152.23 (step @p147 :rule bool-impl-elim :args (@t14 @t13)) % 151.80/152.23 (step @p148 :rule trans :premises (@p147 @p146)) % 151.80/152.23 (step @p149 :rule cong :premises (@p148) :args (@t16)) % 151.80/152.23 (step @p150 :rule trans :premises (@p149 @p141)) % 151.80/152.23 (step @p151 :rule refl :args (tptp.dsetconstrI)) % 151.80/152.23 (step @p152 :rule cong :premises (@p151 @p150) :args (@t17)) % 151.80/152.23 (step @p153 :rule eq_resolve :premises (@p1 @p152)) % 151.80/152.23 (step @p154 :rule cong :premises (@p153 @p133) :args (@t143)) % 151.80/152.23 (step @p155 :rule cong :premises (@p154) :args ((not @t143))) % 151.80/152.23 (step @p156 :rule aci_norm :args ((= (or false @t106 @t101) @t107))) % 151.80/152.23 (step @p157 :rule eq-symm :args (@t98 @t100)) % 151.80/152.23 (step @p158 :rule aci_norm :args ((= @t144 @t105))) % 151.80/152.23 (step @p159 :rule cong :premises (@p158) :args (@t145)) % 151.80/152.23 (step @p160 :rule cong :premises (@p159) :args (@t146)) % 151.80/152.23 (step @p161 :rule evaluate :args ((not true))) % 151.80/152.23 (step @p162 :rule eq-refl :args (@t22)) % 151.80/152.23 (step @p163 :rule cong :premises (@p162) :args (@t147)) % 151.80/152.23 (step @p164 :rule trans :premises (@p163 @p161)) % 151.80/152.23 (step @p165 :rule nary_cong :premises (@p164 @p160 @p157) :args (@t148)) % 151.80/152.23 (step @p166 :rule trans :premises (@p165 @p156)) % 151.80/152.23 (step @p167 :rule cong :premises (@p166) :args ((forall @t108 @t148))) % 151.80/152.23 (step @p168 :rule quant-var-elim-eq :args ((= (forall @t153 @t152) @t148))) % 151.80/152.23 (step @p169 :rule aci_norm :args ((= @t154 @t152))) % 151.80/152.23 (step @p170 :rule cong :premises (@p169) :args (@t155)) % 151.80/152.23 (step @p171 :rule trans :premises (@p170 @p168)) % 151.80/152.23 (step @p172 :rule cong :premises (@p171) :args (@t156)) % 151.80/152.23 (step @p173 :rule quant-merge-prenex :args ((= @t156 @t157))) % 151.80/152.23 (step @p174 :rule symm :premises (@p173)) % 151.80/152.23 (step @p175 :rule quant_var_reordering :args ((= (forall @t158 @t154) @t157))) % 151.80/152.23 (step @p176 :rule trans :premises (@p175 @p174 @p172)) % 151.80/152.23 (step @p177 :rule trans :premises (@p176 @p167)) % 151.80/152.23 (step @p178 :rule aci_norm :args ((= @t160 @t154))) % 151.80/152.23 (step @p179 :rule cong :premises (@p178) :args (@t161)) % 151.80/152.23 (step @p180 :rule trans :premises (@p179 @p177)) % 151.80/152.23 (step @p181 :rule quant-merge-prenex :args ((= (forall @t30 @t163) @t161))) % 151.80/152.23 (step @p182 :rule alpha_equiv :args (@t164 (@list @t97 @t99) (@list @t2 @t33))) % 151.80/152.23 (step @p183 :rule refl :args (@t151)) % 151.80/152.23 (step @p184 :rule nary_cong :premises (@p183 @p182) :args (@t165)) % 151.80/152.23 (step @p185 :rule quant-miniscope-or :args ((= @t163 @t165))) % 151.80/152.23 (step @p186 :rule trans :premises (@p185 @p184)) % 151.80/152.23 (step @p187 :rule symm :premises (@p186)) % 151.80/152.23 (step @p188 :rule cong :premises (@p187) :args ((forall @t30 (or @t151 @t170)))) % 151.80/152.23 (step @p189 :rule trans :premises (@p188 @p181)) % 151.80/152.23 (step @p190 :rule trans :premises (@p189 @p180)) % 151.80/152.23 (step @p191 :rule bool-impl-elim :args (@t23 @t170)) % 151.80/152.23 (step @p192 :rule cong :premises (@p191) :args ((forall @t30 (=> @t23 @t170)))) % 151.80/152.23 (step @p193 :rule trans :premises (@p192 @p190)) % 151.80/152.23 (step @p194 :rule lambda-elim :args ((= @t171 @t33))) % 151.80/152.23 (step @p195 :rule refl :args (@t22)) % 151.80/152.23 (step @p196 :rule cong :premises (@p195 @p194) :args (@t172)) % 151.80/152.23 (step @p197 :rule lambda-elim :args ((= @t173 @t2))) % 151.80/152.23 (step @p198 :rule cong :premises (@p67 @p197) :args (@t174)) % 151.80/152.23 (step @p199 :rule cong :premises (@p198 @p196) :args (@t175)) % 151.80/152.23 (step @p200 :rule refl :args (@t169)) % 151.80/152.23 (step @p201 :rule nary_cong :premises (@p200 @p199) :args (@t176)) % 151.80/152.23 (step @p202 :rule cong :premises (@p201) :args ((forall @t50 @t176))) % 151.80/152.23 (step @p203 :rule refl :args ((tptp.dsetconstr @t22 @t35))) % 151.80/152.23 (step @p204 :rule refl :args (@t166)) % 151.80/152.23 (step @p205 :rule cong :premises (@p204) :args (@t171)) % 151.80/152.23 (step @p206 :rule refl :args (@t22)) % 151.80/152.23 (step @p207 :rule cong :premises (@p206 @p205) :args (@t172)) % 151.80/152.23 (step @p208 :rule trans :premises (@p207 @p203)) % 151.80/152.23 (step @p209 :rule refl :args (@t36)) % 151.80/152.23 (step @p210 :rule ho_cong :premises (@p209 @p205)) % 151.80/152.23 (step @p211 :rule cong :premises (@p210 @p208) :args ((= (_ @t36 @t171) @t172))) % 151.80/152.23 (step @p212 :rule symm :premises (@p211)) % 151.80/152.23 (step @p213 :rule refl :args (@t37)) % 151.80/152.23 (step @p214 :rule eq_resolve :premises (@p213 @p212)) % 151.80/152.23 (step @p215 :rule refl :args (@t34)) % 151.80/152.23 (step @p216 :rule cong :premises (@p215 @p204) :args ((= @t34 @t166))) % 151.80/152.23 (step @p217 :rule symm :premises (@p216)) % 151.80/152.23 (step @p218 :rule eq_resolve :premises (@p215 @p217)) % 151.80/152.23 (step @p219 :rule cong :premises (@p218) :args (@t35)) % 151.80/152.23 (step @p220 :rule ho_cong :premises (@p209 @p219)) % 151.80/152.23 (step @p221 :rule trans :premises (@p220 @p214)) % 151.80/152.23 (step @p222 :rule refl :args ((tptp.dsetconstr @t6 @t38))) % 151.80/152.23 (step @p223 :rule cong :premises (@p74) :args (@t173)) % 151.80/152.23 (step @p224 :rule cong :premises (@p83 @p223) :args (@t174)) % 151.80/152.23 (step @p225 :rule trans :premises (@p224 @p222)) % 151.80/152.23 (step @p226 :rule ho_cong :premises (@p95 @p223)) % 151.80/152.23 (step @p227 :rule cong :premises (@p226 @p225) :args ((= (_ @t7 @t173) @t174))) % 151.80/152.23 (step @p228 :rule symm :premises (@p227)) % 151.80/152.23 (step @p229 :rule refl :args (@t39)) % 151.80/152.23 (step @p230 :rule eq_resolve :premises (@p229 @p228)) % 151.80/152.23 (step @p231 :rule cong :premises (@p78) :args (@t38)) % 151.80/152.23 (step @p232 :rule ho_cong :premises (@p95 @p231)) % 151.80/152.23 (step @p233 :rule trans :premises (@p232 @p230)) % 151.80/152.23 (step @p234 :rule cong :premises (@p233 @p221) :args (@t40)) % 151.80/152.23 (step @p235 :rule refl :args (@t169)) % 151.80/152.23 (step @p236 :rule nary_cong :premises (@p235 @p234) :args (@t177)) % 151.80/152.23 (step @p237 :rule cong :premises (@p236) :args ((forall @t50 @t177))) % 151.80/152.23 (step @p238 :rule trans :premises (@p237 @p202)) % 151.80/152.23 (step @p239 :rule bool-impl-elim :args (@t168 @t40)) % 151.80/152.23 (step @p240 :rule cong :premises (@p239) :args ((forall @t50 (=> @t168 @t40)))) % 151.80/152.23 (step @p241 :rule trans :premises (@p240 @p238)) % 151.80/152.23 (step @p242 :rule refl :args (@t40)) % 151.80/152.23 (step @p243 :rule refl :args (@t167)) % 151.80/152.23 (step @p244 :rule refl :args (@t104)) % 151.80/152.23 (step @p245 :rule nary_cong :premises (@p52 @p244 @p243) :args (@t178)) % 151.80/152.23 (step @p246 :rule cong :premises (@p245) :args ((forall @t25 @t178))) % 151.80/152.23 (step @p247 :rule aci_norm :args ((= (or @t125 @t179) @t178))) % 151.80/152.23 (step @p248 :rule bool-impl-elim :args (@t14 @t179)) % 151.80/152.23 (step @p249 :rule trans :premises (@p248 @p247)) % 151.80/152.23 (step @p250 :rule cong :premises (@p249) :args ((forall @t25 (=> @t14 @t179)))) % 151.80/152.23 (step @p251 :rule trans :premises (@p250 @p246)) % 151.80/152.23 (step @p252 :rule aci_norm :args ((= (or @t104 false @t167) @t179))) % 151.80/152.23 (step @p253 :rule refl :args (@t167)) % 151.80/152.23 (step @p254 :rule eq-refl :args (@t9)) % 151.80/152.23 (step @p255 :rule cong :premises (@p254) :args (@t180)) % 151.80/152.23 (step @p256 :rule trans :premises (@p255 @p161)) % 151.80/152.23 (step @p257 :rule refl :args (@t104)) % 151.80/152.23 (step @p258 :rule nary_cong :premises (@p257 @p256 @p253) :args (@t181)) % 151.80/152.23 (step @p259 :rule trans :premises (@p258 @p252)) % 151.80/152.23 (step @p260 :rule quant-var-elim-eq :args ((= (forall @t4 (or (not (= @t1 @t9)) @t186 @t184 @t183)) @t181))) % 151.80/152.23 (step @p261 :rule refl :args (@t183)) % 151.80/152.23 (step @p262 :rule refl :args (@t184)) % 151.80/152.23 (step @p263 :rule refl :args (@t186)) % 151.80/152.23 (step @p264 :rule eq-symm :args (@t9 @t1)) % 151.80/152.23 (step @p265 :rule cong :premises (@p264) :args (@t184)) % 151.80/152.23 (step @p266 :rule nary_cong :premises (@p265 @p263 @p262 @p261) :args (@t187)) % 151.80/152.23 (step @p267 :rule aci_norm :args ((= @t188 @t187))) % 151.80/152.23 (step @p268 :rule trans :premises (@p267 @p266)) % 151.80/152.23 (step @p269 :rule cong :premises (@p268) :args ((forall @t4 @t188))) % 151.80/152.23 (step @p270 :rule trans :premises (@p269 @p260)) % 151.80/152.23 (step @p271 :rule trans :premises (@p270 @p259)) % 151.80/152.23 (step @p272 :rule refl :args (@t182)) % 151.80/152.23 (step @p273 :rule refl :args (@t41)) % 151.80/152.23 (step @p274 :rule cong :premises (@p273 @p272) :args ((= @t41 @t182))) % 151.80/152.23 (step @p275 :rule symm :premises (@p274)) % 151.80/152.23 (step @p276 :rule eq_resolve :premises (@p273 @p275)) % 151.80/152.23 (step @p277 :rule cong :premises (@p78 @p276) :args (@t42)) % 151.80/152.23 (step @p278 :rule refl :args (@t185)) % 151.80/152.23 (step @p279 :rule refl :args (@t45)) % 151.80/152.23 (step @p280 :rule cong :premises (@p279 @p278) :args ((= @t45 @t185))) % 151.80/152.23 (step @p281 :rule symm :premises (@p280)) % 151.80/152.23 (step @p282 :rule eq_resolve :premises (@p279 @p281)) % 151.80/152.23 (step @p283 :rule cong :premises (@p282) :args (@t189)) % 151.80/152.23 (step @p284 :rule nary_cong :premises (@p283 @p262 @p277) :args (@t190)) % 151.80/152.23 (step @p285 :rule cong :premises (@p284) :args ((forall @t4 @t190))) % 151.80/152.23 (step @p286 :rule trans :premises (@p285 @p271)) % 151.80/152.23 (step @p287 :rule aci_norm :args ((= (or @t189 (or @t184 @t42)) @t190))) % 151.80/152.23 (step @p288 :rule bool-impl-elim :args (@t43 @t42)) % 151.80/152.23 (step @p289 :rule refl :args (@t189)) % 151.80/152.23 (step @p290 :rule nary_cong :premises (@p289 @p288) :args ((or @t189 @t44))) % 151.80/152.23 (step @p291 :rule trans :premises (@p290 @p287)) % 151.80/152.23 (step @p292 :rule bool-impl-elim :args (@t45 @t44)) % 151.80/152.23 (step @p293 :rule trans :premises (@p292 @p291)) % 151.80/152.23 (step @p294 :rule cong :premises (@p293) :args (@t46)) % 151.80/152.23 (step @p295 :rule trans :premises (@p294 @p286)) % 151.80/152.23 (step @p296 :rule refl :args (@t14)) % 151.80/152.23 (step @p297 :rule cong :premises (@p296 @p295) :args (@t47)) % 151.80/152.23 (step @p298 :rule cong :premises (@p297) :args (@t48)) % 151.80/152.23 (step @p299 :rule trans :premises (@p298 @p251)) % 151.80/152.23 (step @p300 :rule cong :premises (@p299 @p242) :args (@t49)) % 151.80/152.23 (step @p301 :rule cong :premises (@p300) :args (@t51)) % 151.80/152.23 (step @p302 :rule trans :premises (@p301 @p241)) % 151.80/152.23 (step @p303 :rule cong :premises (@p34 @p302) :args (@t52)) % 151.80/152.23 (step @p304 :rule cong :premises (@p303) :args (@t53)) % 151.80/152.23 (step @p305 :rule trans :premises (@p304 @p193)) % 151.80/152.23 (step @p306 :rule cong :premises (@p61 @p305) :args (@t54)) % 151.80/152.23 (step @p307 :rule cong :premises (@p117 @p306) :args (@t55)) % 151.80/152.23 (step @p308 :rule cong :premises (@p130 @p307) :args (@t56)) % 151.80/152.23 (step @p309 :rule cong :premises (@p151 @p308) :args (@t57)) % 151.80/152.23 (step @p310 :rule cong :premises (@p309) :args (@t58)) % 151.80/152.23 (step @p311 :rule trans :premises (@p310 @p155 @p24 @p23)) % 151.80/152.23 (step @p312 :rule eq_resolve :premises (@p5 @p311)) % 151.80/152.23 (step @p313 :rule not_implies_elim2 :premises (@p312)) % 151.80/152.23 (step @p314 :rule not_implies_elim2 :premises (@p313)) % 151.80/152.23 (step @p315 :rule not_implies_elim2 :premises (@p314)) % 151.80/152.23 (step @p316 :rule not_implies_elim2 :premises (@p315)) % 151.80/152.23 (step @p317 :rule skolemize :premises (@p316)) % 151.80/152.23 (step @p318 :rule bool-double-not-elim :args (@t195)) % 151.80/152.23 (step @p319 :rule refl :args (@t201)) % 151.80/152.23 (step @p320 :rule nary_cong :premises (@p319 @p318) :args ((or @t201 (not @t200)))) % 151.80/152.23 (step @p321 :rule cnf_or_neg :args (@t201 0)) % 151.80/152.23 (step @p322 :rule eq_resolve :premises (@p321 @p320)) % 151.80/152.23 (step @p323 :rule reordering :premises (@p322) :args ((or @t195 @t201))) % 151.80/152.23 (step @p324 :rule chain_m_resolution :premises (@p323 @p317) :args (@t195 @t202 @t203)) % 151.80/152.23 (step @p325 :rule eq-symm :args (@t208 @t209)) % 151.80/152.23 (step @p326 :rule refl :args (@t212)) % 151.80/152.23 (step @p327 :rule nary_cong :premises (@p326 @p325) :args (@t213)) % 151.80/152.23 (step @p328 :rule refl :args (@t195)) % 151.80/152.23 (step @p329 :rule cong :premises (@p328 @p327) :args ((=> @t195 @t213))) % 151.80/152.23 (assume-push @p427 @t195) % 151.80/152.23 (step @p331 :rule instantiate :premises (@p324) :args ((@list @t207))) % 151.80/152.23 (step-pop @p428 :rule scope :premises (@p331)) % 151.80/152.23 (step @p332 :rule process_scope :premises (@p428) :args (@t213)) % 151.80/152.23 (step @p334 :rule eq_resolve :premises (@p332 @p329)) % 151.80/152.23 (step @p335 :rule implies_elim :premises (@p334)) % 151.80/152.23 (step @p336 :rule chain_m_resolution :premises (@p335 @p324) :args (@t215 @t216 (@list @t195))) % 151.80/152.23 (step @p337 :rule not_implies_elim1 :premises (@p313)) % 151.80/152.23 (step @p338 :rule instantiate :premises (@p337) :args (@t217)) % 151.80/152.23 (step @p339 :rule not_implies_elim1 :premises (@p315)) % 151.80/152.23 (step @p340 :rule eq-symm :args (@t197 @t198)) % 151.80/152.23 (step @p341 :rule refl :args (@t219)) % 151.80/152.23 (step @p342 :rule refl :args (@t220)) % 151.80/152.23 (step @p343 :rule nary_cong :premises (@p342 @p341 @p340) :args (@t221)) % 151.80/152.23 (step @p344 :rule cong :premises (@p15 @p343) :args ((=> @t83 @t221))) % 151.80/152.23 (assume-push @p429 @t83) % 151.80/152.23 (step @p346 :rule instantiate :premises (@p339) :args ((@list @t197 @t198))) % 151.80/152.23 (step-pop @p430 :rule scope :premises (@p346)) % 151.80/152.23 (step @p347 :rule process_scope :premises (@p430) :args (@t221)) % 151.80/152.23 (step @p349 :rule eq_resolve :premises (@p347 @p344)) % 151.80/152.23 (step @p350 :rule implies_elim :premises (@p349)) % 151.80/152.23 (step @p351 :rule chain_m_resolution :premises (@p350 @p339) :args (@t222 @t216 (@list @t83))) % 151.80/152.23 (step @p352 :rule bool-double-not-elim :args (@t225)) % 151.80/152.23 (step @p353 :rule refl :args (@t228)) % 151.80/152.23 (step @p354 :rule nary_cong :premises (@p353 @p352) :args ((or @t228 (not @t227)))) % 151.80/152.23 (step @p355 :rule cnf_or_neg :args (@t228 0)) % 151.80/152.23 (step @p356 :rule eq_resolve :premises (@p355 @p354)) % 151.80/152.23 (step @p357 :rule reordering :premises (@p356) :args ((or @t225 @t228))) % 151.80/152.23 (step @p358 :rule cnf_or_neg :args (@t228 1)) % 151.80/152.23 (step @p359 :rule instantiate :premises (@p337) :args (@t229)) % 151.80/152.23 (step @p360 :rule cnf_or_pos :args (@t231)) % 151.80/152.23 (step @p361 :rule reordering :premises (@p360) :args ((or @t227 @t230 (not @t231)))) % 151.80/152.23 (step @p362 :rule not_implies_elim1 :premises (@p314)) % 151.80/152.23 (step @p363 :rule instantiate :premises (@p362) :args (@t229)) % 151.80/152.23 (step @p364 :rule cnf_or_pos :args (@t233)) % 151.80/152.23 (step @p365 :rule reordering :premises (@p364) :args ((or @t227 @t232 (not @t233)))) % 151.80/152.23 (step @p366 :rule not_implies_elim1 :premises (@p312)) % 151.80/152.23 (step @p367 :rule instantiate :premises (@p366) :args ((@list @t194 @t193 @t223))) % 151.80/152.23 (step @p368 :rule cnf_or_pos :args (@t237)) % 151.80/152.23 (step @p369 :rule reordering :premises (@p368) :args ((or @t226 @t236 @t235 (not @t237)))) % 151.80/152.23 (step @p370 :rule instantiate :premises (@p324) :args ((@list @t223))) % 151.80/152.23 (step @p371 :rule cnf_or_pos :args (@t239)) % 151.80/152.23 (step @p372 :rule reordering :premises (@p371) :args ((or @t236 @t238 (not @t239)))) % 151.80/152.23 (step @p373 :rule cnf_equiv_pos2 :args (@t238)) % 151.80/152.23 (step @p374 :rule reordering :premises (@p373) :args ((or @t234 (not @t232) (not @t238)))) % 151.80/152.23 (step @p375 :rule chain_m_resolution :premises (@p374 @p372 @p370 @p369 @p367 @p365 @p363 @p361 @p359 @p358 @p357) :args (@t228 (@list false false true false false false false false true false) (@list @t238 @t239 @t234 @t237 @t232 @t233 @t230 @t231 @t226 @t225))) % 151.80/152.23 (step @p376 :rule refl :args (@t240)) % 151.80/152.23 (step @p377 :rule bool-double-not-elim :args (@t218)) % 151.80/152.23 (step @p378 :rule nary_cong :premises (@p377 @p376) :args ((or (not @t219) @t240))) % 151.80/152.23 (assume-push @p431 @t219) % 151.80/152.23 (step @p380 :rule skolemize :premises (@p431)) % 151.80/152.23 (step-pop @p432 :rule scope :premises (@p380)) % 151.80/152.23 (step @p381 :rule process_scope :premises (@p432) :args (@t240)) % 151.80/152.23 (step @p383 :rule implies_elim :premises (@p381)) % 151.80/152.23 (step @p384 :rule eq_resolve :premises (@p383 @p378)) % 151.80/152.23 (step @p385 :rule chain_m_resolution :premises (@p384 @p375) :args (@t218 @t216 (@list @t228))) % 151.80/152.23 (step @p386 :rule cnf_or_neg :args (@t201 1)) % 151.80/152.23 (step @p387 :rule chain_m_resolution :premises (@p386 @p317) :args ((not @t199) @t202 @t203)) % 151.80/152.23 (step @p388 :rule cnf_or_pos :args (@t222)) % 151.80/152.23 (step @p389 :rule reordering :premises (@p388) :args ((or @t199 @t220 @t219 (not @t222)))) % 151.80/152.23 (step @p390 :rule chain_m_resolution :premises (@p389 @p387 @p385 @p351) :args (@t220 @t241 (@list @t199 @t218 @t222))) % 151.80/152.23 (step @p391 :rule refl :args (@t246)) % 151.80/152.23 (step @p392 :rule bool-double-not-elim :args (@t206)) % 151.80/152.23 (step @p393 :rule nary_cong :premises (@p392 @p391) :args ((or (not @t220) @t246))) % 151.80/152.23 (assume-push @p433 @t220) % 151.80/152.23 (step @p395 :rule skolemize :premises (@p433)) % 151.80/152.23 (step-pop @p434 :rule scope :premises (@p395)) % 151.80/152.23 (step @p396 :rule process_scope :premises (@p434) :args (@t246)) % 151.80/152.23 (step @p398 :rule implies_elim :premises (@p396)) % 151.80/152.23 (step @p399 :rule eq_resolve :premises (@p398 @p393)) % 151.80/152.23 (step @p400 :rule chain_m_resolution :premises (@p399 @p390) :args (@t246 @t202 (@list @t206))) % 151.80/152.23 (step @p401 :rule bool-double-not-elim :args (@t243)) % 151.80/152.23 (step @p402 :rule refl :args (@t245)) % 151.80/152.23 (step @p403 :rule nary_cong :premises (@p402 @p401) :args ((or @t245 (not @t244)))) % 151.80/152.23 (step @p404 :rule cnf_or_neg :args (@t245 0)) % 151.80/152.23 (step @p405 :rule eq_resolve :premises (@p404 @p403)) % 151.80/152.23 (step @p406 :rule reordering :premises (@p405) :args ((or @t243 @t245))) % 151.80/152.23 (step @p407 :rule chain_m_resolution :premises (@p406 @p400) :args (@t243 @t202 @t247)) % 151.80/152.23 (step @p408 :rule cnf_or_pos :args (@t248)) % 151.80/152.23 (step @p409 :rule reordering :premises (@p408) :args ((or @t244 @t211 (not @t248)))) % 151.80/152.23 (step @p410 :rule chain_m_resolution :premises (@p409 @p407 @p338) :args (@t211 @t249 (@list @t243 @t248))) % 151.80/152.23 (step @p411 :rule cnf_or_pos :args (@t215)) % 151.80/152.23 (step @p412 :rule reordering :premises (@p411) :args ((or @t212 @t214 (not @t215)))) % 151.80/152.23 (step @p413 :rule chain_m_resolution :premises (@p412 @p410 @p336) :args (@t214 @t249 (@list @t211 @t215))) % 151.80/152.23 (step @p414 :rule instantiate :premises (@p362) :args (@t217)) % 151.80/152.23 (step @p415 :rule cnf_or_pos :args (@t250)) % 151.80/152.23 (step @p416 :rule reordering :premises (@p415) :args ((or @t244 @t208 (not @t250)))) % 151.80/152.23 (step @p417 :rule chain_m_resolution :premises (@p416 @p407 @p414) :args (@t208 @t249 (@list @t243 @t250))) % 151.80/152.23 (step @p418 :rule instantiate :premises (@p366) :args ((@list @t194 @t192 @t207))) % 151.80/152.23 (step @p419 :rule cnf_or_neg :args (@t245 1)) % 151.80/152.23 (step @p420 :rule chain_m_resolution :premises (@p419 @p400) :args ((not @t242) @t202 @t247)) % 151.80/152.23 (step @p421 :rule cnf_or_pos :args (@t252)) % 151.80/152.23 (step @p422 :rule reordering :premises (@p421) :args ((or @t242 @t212 @t251 (not @t252)))) % 151.80/152.23 (step @p423 :rule chain_m_resolution :premises (@p422 @p420 @p410 @p418) :args (@t251 @t241 (@list @t242 @t211 @t252))) % 151.80/152.23 (step @p424 :rule cnf_equiv_pos2 :args (@t214)) % 151.80/152.23 (step @p425 :rule reordering :premises (@p424) :args ((or @t209 (not @t208) (not @t214)))) % 151.80/152.23 (step @p426 false :rule chain_m_resolution :premises (@p425 @p423 @p417 @p413) :args (false @t241 (@list @t209 @t208 @t214))) % 151.80/152.23 ) % 151.80/152.23 % SZS output end Proof % 151.80/152.23 % cvc5 exiting %------------------------------------------------------------------------------