0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.14/0.34 % Computer : n029.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 1920 0.14/0.34 % WCLimit : 240 0.14/0.34 % DateTime : Fri Sep 5 23:29:52 EDT 2025 0.14/0.34 % CPUTime : 0.20/0.49 %----Proving TH0 120.84/121.31 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s... 120.84/121.31 --- 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 24s... 120.84/121.31 --- 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 24s... 120.84/121.31 --- Run --ho-elim --full-saturate-quant at 14s... 120.84/121.31 % SZS status Theorem 120.84/121.31 % SZS output start Proof 120.84/121.31 ( 120.84/121.31 (declare-type $$unsorted ()) 120.84/121.31 (declare-const tptp.setext Bool) 120.84/121.31 (declare-const tptp.dsetconstrEL Bool) 120.84/121.31 (declare-const tptp.dsetconstrI Bool) 120.84/121.31 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) 120.84/121.31 (declare-const tptp.dsetconstrER Bool) 120.84/121.31 (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted)) 120.84/121.31 (define @t1 () (@var "Xy" $$unsorted)) 120.84/121.31 (define @t2 () (@var "Xphi" (-> $$unsorted Bool))) 120.84/121.31 (define @t3 () (_ @t2 @t1)) 120.84/121.31 (define @t4 () (@list @t1)) 120.84/121.31 (define @t5 () (lambda @t4 @t3)) 120.84/121.31 (define @t6 () (@var "A" $$unsorted)) 120.84/121.31 (define @t7 () (_ tptp.dsetconstr @t6)) 120.84/121.31 (define @t8 () (_ @t7 @t5)) 120.84/121.31 (define @t9 () (@var "Xx" $$unsorted)) 120.84/121.31 (define @t10 () (_ tptp.in @t9)) 120.84/121.31 (define @t11 () (_ @t10 @t8)) 120.84/121.31 (define @t12 () (_ @t2 @t9)) 120.84/121.31 (define @t13 () (=> @t12 @t11)) 120.84/121.31 (define @t14 () (_ @t10 @t6)) 120.84/121.31 (define @t15 () (@list @t6 @t2 @t9)) 120.84/121.31 (define @t16 () (forall @t15 (=> @t14 @t13))) 120.84/121.31 (define @t17 () (= tptp.dsetconstrI @t16)) 120.84/121.31 (define @t18 () (forall @t15 (=> @t11 @t14))) 120.84/121.31 (define @t19 () (= tptp.dsetconstrEL @t18)) 120.84/121.31 (define @t20 () (forall @t15 (=> @t11 @t12))) 120.84/121.31 (define @t21 () (= tptp.dsetconstrER @t20)) 120.84/121.31 (define @t22 () (@var "B" $$unsorted)) 120.84/121.31 (define @t23 () (= @t6 @t22)) 120.84/121.31 (define @t24 () (_ @t10 @t22)) 120.84/121.31 (define @t25 () (@list @t9)) 120.84/121.31 (define @t26 () (forall @t25 (=> @t24 @t14))) 120.84/121.31 (define @t27 () (=> @t26 @t23)) 120.84/121.31 (define @t28 () (forall @t25 (=> @t14 @t24))) 120.84/121.31 (define @t29 () (=> @t28 @t27)) 120.84/121.31 (define @t30 () (@list @t6 @t22)) 120.84/121.31 (define @t31 () (forall @t30 @t29)) 120.84/121.31 (define @t32 () (= tptp.setext @t31)) 120.84/121.31 (define @t33 () (@var "Xpsi" (-> $$unsorted Bool))) 120.84/121.31 (define @t34 () (_ @t33 @t9)) 120.84/121.31 (define @t35 () (lambda @t25 @t34)) 120.84/121.31 (define @t36 () (_ tptp.dsetconstr @t22)) 120.84/121.31 (define @t37 () (_ @t36 @t35)) 120.84/121.31 (define @t38 () (lambda @t25 @t12)) 120.84/121.31 (define @t39 () (_ @t7 @t38)) 120.84/121.31 (define @t40 () (= @t39 @t37)) 120.84/121.31 (define @t41 () (_ @t33 @t1)) 120.84/121.31 (define @t42 () (= @t12 @t41)) 120.84/121.31 (define @t43 () (= @t9 @t1)) 120.84/121.31 (define @t44 () (=> @t43 @t42)) 120.84/121.31 (define @t45 () (_ (_ tptp.in @t1) @t22)) 120.84/121.31 (define @t46 () (forall @t4 (=> @t45 @t44))) 120.84/121.31 (define @t47 () (=> @t14 @t46)) 120.84/121.31 (define @t48 () (forall @t25 @t47)) 120.84/121.31 (define @t49 () (=> @t48 @t40)) 120.84/121.31 (define @t50 () (@list @t2 @t33)) 120.84/121.31 (define @t51 () (forall @t50 @t49)) 120.84/121.31 (define @t52 () (=> @t23 @t51)) 120.84/121.31 (define @t53 () (forall @t30 @t52)) 120.84/121.31 (define @t54 () (=> tptp.setext @t53)) 120.84/121.31 (define @t55 () (=> tptp.dsetconstrER @t54)) 120.84/121.31 (define @t56 () (=> tptp.dsetconstrEL @t55)) 120.84/121.31 (define @t57 () (=> tptp.dsetconstrI @t56)) 120.84/121.31 (define @t58 () (not @t57)) 120.84/121.31 (define @t59 () (@var "BOUND_VARIABLE_7556" (@ho-elim-sort (-> $$unsorted Bool)))) 120.84/121.31 (define @t60 () (@const 0 (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)))) 120.84/121.31 (define @t61 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)) $$unsorted (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted))))) 120.84/121.31 (define @t62 () (_ @t61 @t60 @t22)) 120.84/121.31 (define @t63 () (@const 2 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)) (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted))) 120.84/121.31 (define @t64 () (_ @t63 @t62 @t59)) 120.84/121.31 (define @t65 () (@var "BOUND_VARIABLE_7541" (@ho-elim-sort (-> $$unsorted Bool)))) 120.84/121.31 (define @t66 () (_ @t63 @t62 @t65)) 120.84/121.31 (define @t67 () (@const 3 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))) 120.84/121.31 (define @t68 () (_ @t67 @t65 @t9)) 120.84/121.31 (define @t69 () (_ @t67 @t59 @t9)) 120.84/121.31 (define @t70 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))) 120.84/121.31 (define @t71 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool))))) 120.84/121.31 (define @t72 () (_ @t71 @t70 @t9)) 120.84/121.31 (define @t73 () (_ @t67 @t72 @t22)) 120.84/121.31 (define @t74 () (not @t73)) 120.84/121.31 (define @t75 () (or @t74 (= @t68 @t69))) 120.84/121.31 (define @t76 () (forall @t25 @t75)) 120.84/121.31 (define @t77 () (not @t76)) 120.84/121.31 (define @t78 () (or @t77 (= @t64 @t66))) 120.84/121.31 (define @t79 () (@list @t22 @t65 @t59)) 120.84/121.31 (define @t80 () (forall @t79 @t78)) 120.84/121.31 (define @t81 () (_ @t67 @t72 @t6)) 120.84/121.31 (define @t82 () (not @t81)) 120.84/121.31 (define @t83 () (forall @t30 (or (not (forall @t25 (or @t82 @t73))) (not (forall @t25 (or @t74 @t81))) @t23))) 120.84/121.31 (define @t84 () (=> @t83 @t80)) 120.84/121.31 (define @t85 () (@var "BOUND_VARIABLE_7588" (@ho-elim-sort (-> $$unsorted Bool)))) 120.84/121.31 (define @t86 () (_ @t67 @t85 @t9)) 120.84/121.31 (define @t87 () (_ @t67 @t72 (_ @t63 (_ @t61 @t60 @t6) @t85))) 120.84/121.31 (define @t88 () (not @t87)) 120.84/121.31 (define @t89 () (@list @t6 @t85 @t9)) 120.84/121.31 (define @t90 () (forall @t89 (or @t88 @t86))) 120.84/121.31 (define @t91 () (=> @t90 @t84)) 120.84/121.31 (define @t92 () (forall @t89 (or @t88 @t81))) 120.84/121.31 (define @t93 () (=> @t92 @t91)) 120.84/121.31 (define @t94 () (forall @t89 (or @t82 (not @t86) @t87))) 120.84/121.31 (define @t95 () (=> @t94 @t93)) 120.84/121.31 (define @t96 () (not @t95)) 120.84/121.31 (define @t97 () (@var "BOUND_VARIABLE_7454" (-> $$unsorted Bool))) 120.84/121.31 (define @t98 () (tptp.dsetconstr @t22 @t97)) 120.84/121.31 (define @t99 () (@var "BOUND_VARIABLE_7456" (-> $$unsorted Bool))) 120.84/121.31 (define @t100 () (tptp.dsetconstr @t22 @t99)) 120.84/121.31 (define @t101 () (= @t100 @t98)) 120.84/121.31 (define @t102 () (= (_ @t97 @t9) (_ @t99 @t9))) 120.84/121.31 (define @t103 () (tptp.in @t9 @t22)) 120.84/121.31 (define @t104 () (not @t103)) 120.84/121.31 (define @t105 () (or @t104 @t102)) 120.84/121.31 (define @t106 () (not (forall @t25 @t105))) 120.84/121.31 (define @t107 () (or @t106 @t101)) 120.84/121.31 (define @t108 () (@list @t22 @t97 @t99)) 120.84/121.31 (define @t109 () (forall @t108 @t107)) 120.84/121.31 (define @t110 () (tptp.in @t9 @t6)) 120.84/121.31 (define @t111 () (forall @t25 (or @t104 @t110))) 120.84/121.31 (define @t112 () (not @t111)) 120.84/121.31 (define @t113 () (not @t110)) 120.84/121.31 (define @t114 () (forall @t25 (or @t113 @t103))) 120.84/121.31 (define @t115 () (not @t114)) 120.84/121.31 (define @t116 () (or @t115 @t112 @t23)) 120.84/121.31 (define @t117 () (_ @t2 @t9)) 120.84/121.31 (define @t118 () (tptp.dsetconstr @t6 @t2)) 120.84/121.31 (define @t119 () (tptp.in @t9 @t118)) 120.84/121.31 (define @t120 () (not @t119)) 120.84/121.31 (define @t121 () (not @t117)) 120.84/121.31 (define @t122 () (=> @t111 @t23)) 120.84/121.31 (define @t123 () (not @t24)) 120.84/121.31 (define @t124 () (or @t123 @t14)) 120.84/121.31 (define @t125 () (not @t14)) 120.84/121.31 (define @t126 () (or @t125 @t24)) 120.84/121.31 (define @t127 () (=> tptp.setext @t109)) 120.84/121.31 (define @t128 () (_ @t2 @t1)) 120.84/121.31 (define @t129 () (lambda @t4 @t128)) 120.84/121.31 (define @t130 () (tptp.dsetconstr @t6 @t129)) 120.84/121.31 (define @t131 () (tptp.in @t9 @t130)) 120.84/121.31 (define @t132 () (not @t131)) 120.84/121.31 (define @t133 () (or @t132 @t117)) 120.84/121.31 (define @t134 () (not @t11)) 120.84/121.31 (define @t135 () (or @t134 @t12)) 120.84/121.31 (define @t136 () (=> tptp.dsetconstrER @t127)) 120.84/121.31 (define @t137 () (or @t132 @t110)) 120.84/121.31 (define @t138 () (or @t134 @t14)) 120.84/121.31 (define @t139 () (=> tptp.dsetconstrEL @t136)) 120.84/121.31 (define @t140 () (or @t113 @t121 @t131)) 120.84/121.31 (define @t141 () (not @t12)) 120.84/121.31 (define @t142 () (or @t125 @t141 @t11)) 120.84/121.31 (define @t143 () (=> tptp.dsetconstrI @t139)) 120.84/121.31 (define @t144 () (or @t104 @t104 @t102)) 120.84/121.31 (define @t145 () (forall @t25 @t144)) 120.84/121.31 (define @t146 () (not @t145)) 120.84/121.31 (define @t147 () (not (= @t22 @t22))) 120.84/121.31 (define @t148 () (or @t147 @t146 (= @t98 @t100))) 120.84/121.31 (define @t149 () (= (tptp.dsetconstr @t6 @t97) @t100)) 120.84/121.31 (define @t150 () (not (forall @t25 (or @t113 @t104 @t102)))) 120.84/121.31 (define @t151 () (not @t23)) 120.84/121.31 (define @t152 () (or @t151 @t151 @t150 @t149)) 120.84/121.31 (define @t153 () (@list @t6)) 120.84/121.31 (define @t154 () (or @t151 @t150 @t149)) 120.84/121.31 (define @t155 () (forall @t153 @t154)) 120.84/121.31 (define @t156 () (forall @t108 @t155)) 120.84/121.31 (define @t157 () (forall (@list @t22 @t97 @t99 @t6) @t154)) 120.84/121.31 (define @t158 () (@list @t6 @t22 @t97 @t99)) 120.84/121.31 (define @t159 () (or @t150 @t149)) 120.84/121.31 (define @t160 () (or @t151 @t159)) 120.84/121.31 (define @t161 () (forall @t158 @t160)) 120.84/121.31 (define @t162 () (@list @t97 @t99)) 120.84/121.31 (define @t163 () (forall @t162 @t160)) 120.84/121.31 (define @t164 () (forall @t162 @t159)) 120.84/121.31 (define @t165 () (or @t151 @t164)) 120.84/121.31 (define @t166 () (_ @t33 @t9)) 120.84/121.31 (define @t167 () (= @t117 @t166)) 120.84/121.31 (define @t168 () (forall @t25 (or @t113 @t104 @t167))) 120.84/121.31 (define @t169 () (not @t168)) 120.84/121.31 (define @t170 () (forall @t50 (or @t169 (= @t118 (tptp.dsetconstr @t22 @t33))))) 120.84/121.31 (define @t171 () (lambda @t25 @t166)) 120.84/121.31 (define @t172 () (tptp.dsetconstr @t22 @t171)) 120.84/121.31 (define @t173 () (lambda @t25 @t117)) 120.84/121.31 (define @t174 () (tptp.dsetconstr @t6 @t173)) 120.84/121.31 (define @t175 () (= @t174 @t172)) 120.84/121.31 (define @t176 () (or @t169 @t175)) 120.84/121.31 (define @t177 () (or @t169 @t40)) 120.84/121.31 (define @t178 () (or @t125 @t104 @t167)) 120.84/121.31 (define @t179 () (or @t104 @t167)) 120.84/121.31 (define @t180 () (not (= @t9 @t9))) 120.84/121.31 (define @t181 () (or @t104 @t180 @t167)) 120.84/121.31 (define @t182 () (_ @t33 @t1)) 120.84/121.31 (define @t183 () (= @t117 @t182)) 120.84/121.31 (define @t184 () (not @t43)) 120.84/121.31 (define @t185 () (tptp.in @t1 @t22)) 120.84/121.31 (define @t186 () (not @t185)) 120.84/121.31 (define @t187 () (or @t184 @t186 @t184 @t183)) 120.84/121.31 (define @t188 () (or @t186 @t184 @t183)) 120.84/121.31 (define @t189 () (not @t45)) 120.84/121.31 (define @t190 () (or @t189 @t184 @t42)) 120.84/121.31 (define @t191 () (forall @t79 (or (not (forall @t25 (or @t74 (= @t69 @t68)))) (= @t66 @t64)))) 120.84/121.31 (define @t192 () (@quantifiers_skolemize @t191 1)) 120.84/121.31 (define @t193 () (@quantifiers_skolemize @t191 2)) 120.84/121.31 (define @t194 () (@quantifiers_skolemize @t191 0)) 120.84/121.31 (define @t195 () (forall @t25 (or (not (_ @t67 @t72 @t194)) (= (_ @t67 @t193 @t9) (_ @t67 @t192 @t9))))) 120.84/121.31 (define @t196 () (_ @t61 @t60 @t194)) 120.84/121.31 (define @t197 () (_ @t63 @t196 @t193)) 120.84/121.31 (define @t198 () (_ @t63 @t196 @t192)) 120.84/121.31 (define @t199 () (= @t198 @t197)) 120.84/121.31 (define @t200 () (not @t195)) 120.84/121.31 (define @t201 () (or @t200 @t199)) 120.84/121.31 (define @t202 () (@list true)) 120.84/121.31 (define @t203 () (@list @t201)) 120.84/121.31 (define @t204 () (_ @t67 @t72 @t198)) 120.84/121.31 (define @t205 () (_ @t67 @t72 @t197)) 120.84/121.31 (define @t206 () (forall @t25 (or (not @t205) @t204))) 120.84/121.31 (define @t207 () (@quantifiers_skolemize @t206 0)) 120.84/121.31 (define @t208 () (_ @t67 @t193 @t207)) 120.84/121.31 (define @t209 () (_ @t67 @t192 @t207)) 120.84/121.31 (define @t210 () (_ @t71 @t70 @t207)) 120.84/121.31 (define @t211 () (_ @t67 @t210 @t194)) 120.84/121.31 (define @t212 () (not @t211)) 120.84/121.31 (define @t213 () (or @t212 (= @t208 @t209))) 120.84/121.31 (define @t214 () (@list false)) 120.84/121.31 (define @t215 () (@list @t194 @t193 @t207)) 120.84/121.31 (define @t216 () (forall @t25 (or (not @t204) @t205))) 120.84/121.31 (define @t217 () (not @t216)) 120.84/121.31 (define @t218 () (not @t206)) 120.84/121.31 (define @t219 () (or @t218 @t217 (= @t197 @t198))) 120.84/121.31 (define @t220 () (@quantifiers_skolemize @t216 0)) 120.84/121.31 (define @t221 () (_ @t71 @t70 @t220)) 120.84/121.31 (define @t222 () (_ @t67 @t221 @t198)) 120.84/121.31 (define @t223 () (_ @t67 @t221 @t197)) 120.84/121.31 (define @t224 () (not @t222)) 120.84/121.31 (define @t225 () (or @t224 @t223)) 120.84/121.31 (define @t226 () (@list @t194 @t192 @t220)) 120.84/121.31 (define @t227 () (_ @t67 @t221 @t194)) 120.84/121.31 (define @t228 () (or @t224 @t227)) 120.84/121.31 (define @t229 () (_ @t67 @t192 @t220)) 120.84/121.31 (define @t230 () (or @t224 @t229)) 120.84/121.31 (define @t231 () (_ @t67 @t193 @t220)) 120.84/121.31 (define @t232 () (not @t231)) 120.84/121.31 (define @t233 () (not @t227)) 120.84/121.31 (define @t234 () (or @t233 @t232 @t223)) 120.84/121.31 (define @t235 () (= @t231 @t229)) 120.84/121.31 (define @t236 () (or @t233 @t235)) 120.84/121.31 (define @t237 () (not @t225)) 120.84/121.31 (define @t238 () (or @t218 @t217 @t199)) 120.84/121.31 (define @t239 () (@list true false false)) 120.84/121.31 (define @t240 () (_ @t67 @t210 @t198)) 120.84/121.31 (define @t241 () (_ @t67 @t210 @t197)) 120.84/121.31 (define @t242 () (not @t241)) 120.84/121.31 (define @t243 () (or @t242 @t240)) 120.84/121.31 (define @t244 () (not @t243)) 120.84/121.31 (define @t245 () (@list @t243)) 120.84/121.31 (define @t246 () (or @t242 @t211)) 120.84/121.31 (define @t247 () (@list false false)) 120.84/121.31 (define @t248 () (= @t209 @t208)) 120.84/121.31 (define @t249 () (or @t212 @t248)) 120.84/121.31 (define @t250 () (or @t242 @t208)) 120.84/121.31 (define @t251 () (not @t209)) 120.84/121.31 (define @t252 () (or @t212 @t251 @t240)) 120.84/121.31 (assume @p1 @t17) 120.84/121.31 (assume @p2 @t19) 120.84/121.31 (assume @p3 @t21) 120.84/121.31 (assume @p4 @t32) 120.84/121.31 (assume @p5 @t58) 120.84/121.31 (assume @p6 true) 120.84/121.31 (step @p7 :rule eq-symm :args (@t64 @t66)) 120.84/121.31 (step @p8 :rule eq-symm :args (@t68 @t69)) 120.84/121.31 (step @p9 :rule refl :args (@t74)) 120.84/121.31 (step @p10 :rule nary_cong :premises (@p9 @p8) :args (@t75)) 120.84/121.31 (step @p11 :rule cong :premises (@p10) :args (@t76)) 120.84/121.31 (step @p12 :rule cong :premises (@p11) :args (@t77)) 120.84/121.31 (step @p13 :rule nary_cong :premises (@p12 @p7) :args (@t78)) 120.84/121.31 (step @p14 :rule cong :premises (@p13) :args (@t80)) 120.84/121.31 (step @p15 :rule refl :args (@t83)) 120.84/121.31 (step @p16 :rule cong :premises (@p15 @p14) :args (@t84)) 120.84/121.31 (step @p17 :rule refl :args (@t90)) 120.84/121.31 (step @p18 :rule cong :premises (@p17 @p16) :args (@t91)) 120.84/121.31 (step @p19 :rule refl :args (@t92)) 120.84/121.31 (step @p20 :rule cong :premises (@p19 @p18) :args (@t93)) 120.84/121.31 (step @p21 :rule refl :args (@t94)) 120.84/121.31 (step @p22 :rule cong :premises (@p21 @p20) :args (@t95)) 120.84/121.31 (step @p23 :rule cong :premises (@p22) :args (@t96)) 120.84/121.31 ; WARNING: add trust step for TRUST 120.84/121.31 ; trust TRUST PREPROCESS_HO_ELIM 120.84/121.31 (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))) 120.84/121.31 (step @p25 :rule refl :args (@t109)) 120.84/121.31 (step @p26 :rule aci_norm :args ((= (or @t115 (or @t112 @t23)) @t116))) 120.84/121.31 (step @p27 :rule bool-impl-elim :args (@t111 @t23)) 120.84/121.31 (step @p28 :rule refl :args (@t115)) 120.84/121.31 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t115 @t122))) 120.84/121.31 (step @p30 :rule trans :premises (@p29 @p26)) 120.84/121.31 (step @p31 :rule bool-impl-elim :args (@t114 @t122)) 120.84/121.31 (step @p32 :rule trans :premises (@p31 @p30)) 120.84/121.31 (step @p33 :rule cong :premises (@p32) :args ((forall @t30 (=> @t114 @t122)))) 120.84/121.31 (step @p34 :rule refl :args (@t23)) 120.84/121.31 (step @p35 :rule refl :args (@t110)) 120.84/121.31 (step @p36 :rule refl :args (@t14)) 120.84/121.31 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t14 @t110))) 120.84/121.31 (step @p38 :rule symm :premises (@p37)) 120.84/121.31 (step @p39 :rule eq_resolve :premises (@p36 @p38)) 120.84/121.31 (step @p40 :rule refl :args (@t103)) 120.84/121.31 (step @p41 :rule refl :args (@t24)) 120.84/121.31 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t24 @t103))) 120.84/121.31 (step @p43 :rule symm :premises (@p42)) 120.84/121.31 (step @p44 :rule eq_resolve :premises (@p41 @p43)) 120.84/121.31 (step @p45 :rule cong :premises (@p44) :args (@t123)) 120.84/121.31 (step @p46 :rule nary_cong :premises (@p45 @p39) :args (@t124)) 120.84/121.31 (step @p47 :rule cong :premises (@p46) :args ((forall @t25 @t124))) 120.84/121.31 (step @p48 :rule bool-impl-elim :args (@t24 @t14)) 120.84/121.31 (step @p49 :rule cong :premises (@p48) :args (@t26)) 120.84/121.31 (step @p50 :rule trans :premises (@p49 @p47)) 120.84/121.31 (step @p51 :rule cong :premises (@p50 @p34) :args (@t27)) 120.84/121.31 (step @p52 :rule cong :premises (@p39) :args (@t125)) 120.84/121.31 (step @p53 :rule nary_cong :premises (@p52 @p44) :args (@t126)) 120.84/121.31 (step @p54 :rule cong :premises (@p53) :args ((forall @t25 @t126))) 120.84/121.31 (step @p55 :rule bool-impl-elim :args (@t14 @t24)) 120.84/121.31 (step @p56 :rule cong :premises (@p55) :args (@t28)) 120.84/121.31 (step @p57 :rule trans :premises (@p56 @p54)) 120.84/121.31 (step @p58 :rule cong :premises (@p57 @p51) :args (@t29)) 120.84/121.31 (step @p59 :rule cong :premises (@p58) :args (@t31)) 120.84/121.31 (step @p60 :rule trans :premises (@p59 @p33)) 120.84/121.31 (step @p61 :rule refl :args (tptp.setext)) 120.84/121.31 (step @p62 :rule cong :premises (@p61 @p60) :args (@t32)) 120.84/121.31 (step @p63 :rule eq_resolve :premises (@p4 @p62)) 120.84/121.31 (step @p64 :rule cong :premises (@p63 @p25) :args (@t127)) 120.84/121.31 (step @p65 :rule refl :args (@t117)) 120.84/121.31 (step @p66 :rule lambda-elim :args ((= @t129 @t2))) 120.84/121.31 (step @p67 :rule refl :args (@t6)) 120.84/121.31 (step @p68 :rule cong :premises (@p67 @p66) :args (@t130)) 120.84/121.31 (step @p69 :rule refl :args (@t9)) 120.84/121.31 (step @p70 :rule cong :premises (@p69 @p68) :args (@t131)) 120.84/121.31 (step @p71 :rule cong :premises (@p70) :args (@t132)) 120.84/121.31 (step @p72 :rule nary_cong :premises (@p71 @p65) :args (@t133)) 120.84/121.31 (step @p73 :rule cong :premises (@p72) :args ((forall @t15 @t133))) 120.84/121.31 (step @p74 :rule refl :args (@t117)) 120.84/121.31 (step @p75 :rule refl :args (@t12)) 120.84/121.31 (step @p76 :rule cong :premises (@p75 @p74) :args ((= @t12 @t117))) 120.84/121.31 (step @p77 :rule symm :premises (@p76)) 120.84/121.31 (step @p78 :rule eq_resolve :premises (@p75 @p77)) 120.84/121.31 (step @p79 :rule refl :args ((tptp.in @t9 @t8))) 120.84/121.31 (step @p80 :rule refl :args ((tptp.dsetconstr @t6 @t5))) 120.84/121.31 (step @p81 :rule refl :args (@t128)) 120.84/121.31 (step @p82 :rule cong :premises (@p81) :args (@t129)) 120.84/121.31 (step @p83 :rule refl :args (@t6)) 120.84/121.31 (step @p84 :rule cong :premises (@p83 @p82) :args (@t130)) 120.84/121.31 (step @p85 :rule trans :premises (@p84 @p80)) 120.84/121.31 (step @p86 :rule refl :args (@t9)) 120.84/121.31 (step @p87 :rule cong :premises (@p86 @p85) :args (@t131)) 120.84/121.31 (step @p88 :rule trans :premises (@p87 @p79)) 120.84/121.31 (step @p89 :rule refl :args (@t10)) 120.84/121.31 (step @p90 :rule ho_cong :premises (@p89 @p85)) 120.84/121.31 (step @p91 :rule cong :premises (@p90 @p88) :args ((= (_ @t10 @t130) @t131))) 120.84/121.31 (step @p92 :rule symm :premises (@p91)) 120.84/121.31 (step @p93 :rule refl :args (@t11)) 120.84/121.31 (step @p94 :rule eq_resolve :premises (@p93 @p92)) 120.84/121.31 (step @p95 :rule refl :args (@t7)) 120.84/121.31 (step @p96 :rule ho_cong :premises (@p95 @p82)) 120.84/121.31 (step @p97 :rule cong :premises (@p96 @p85) :args ((= (_ @t7 @t129) @t130))) 120.84/121.31 (step @p98 :rule symm :premises (@p97)) 120.84/121.31 (step @p99 :rule refl :args (@t8)) 120.84/121.31 (step @p100 :rule eq_resolve :premises (@p99 @p98)) 120.84/121.31 (step @p101 :rule refl :args (@t3)) 120.84/121.31 (step @p102 :rule cong :premises (@p101 @p81) :args ((= @t3 @t128))) 120.84/121.31 (step @p103 :rule symm :premises (@p102)) 120.84/121.31 (step @p104 :rule eq_resolve :premises (@p101 @p103)) 120.84/121.31 (step @p105 :rule cong :premises (@p104) :args (@t5)) 120.84/121.31 (step @p106 :rule ho_cong :premises (@p95 @p105)) 120.84/121.31 (step @p107 :rule trans :premises (@p106 @p100)) 120.84/121.31 (step @p108 :rule ho_cong :premises (@p89 @p107)) 120.84/121.31 (step @p109 :rule trans :premises (@p108 @p94)) 120.84/121.31 (step @p110 :rule cong :premises (@p109) :args (@t134)) 120.84/121.31 (step @p111 :rule nary_cong :premises (@p110 @p78) :args (@t135)) 120.84/121.31 (step @p112 :rule cong :premises (@p111) :args ((forall @t15 @t135))) 120.84/121.31 (step @p113 :rule trans :premises (@p112 @p73)) 120.84/121.31 (step @p114 :rule bool-impl-elim :args (@t11 @t12)) 120.84/121.31 (step @p115 :rule cong :premises (@p114) :args (@t20)) 120.84/121.31 (step @p116 :rule trans :premises (@p115 @p113)) 120.84/121.31 (step @p117 :rule refl :args (tptp.dsetconstrER)) 120.84/121.31 (step @p118 :rule cong :premises (@p117 @p116) :args (@t21)) 120.84/121.31 (step @p119 :rule eq_resolve :premises (@p3 @p118)) 120.84/121.31 (step @p120 :rule cong :premises (@p119 @p64) :args (@t136)) 120.84/121.31 (step @p121 :rule refl :args (@t110)) 120.84/121.31 (step @p122 :rule nary_cong :premises (@p71 @p121) :args (@t137)) 120.84/121.31 (step @p123 :rule cong :premises (@p122) :args ((forall @t15 @t137))) 120.84/121.31 (step @p124 :rule nary_cong :premises (@p110 @p39) :args (@t138)) 120.84/121.31 (step @p125 :rule cong :premises (@p124) :args ((forall @t15 @t138))) 120.84/121.31 (step @p126 :rule trans :premises (@p125 @p123)) 120.84/121.31 (step @p127 :rule bool-impl-elim :args (@t11 @t14)) 120.84/121.31 (step @p128 :rule cong :premises (@p127) :args (@t18)) 120.84/121.31 (step @p129 :rule trans :premises (@p128 @p126)) 120.84/121.31 (step @p130 :rule refl :args (tptp.dsetconstrEL)) 120.84/121.31 (step @p131 :rule cong :premises (@p130 @p129) :args (@t19)) 120.84/121.31 (step @p132 :rule eq_resolve :premises (@p2 @p131)) 120.84/121.31 (step @p133 :rule cong :premises (@p132 @p120) :args (@t139)) 120.84/121.31 (step @p134 :rule refl :args (@t121)) 120.84/121.31 (step @p135 :rule refl :args (@t113)) 120.84/121.31 (step @p136 :rule nary_cong :premises (@p135 @p134 @p70) :args (@t140)) 120.84/121.31 (step @p137 :rule cong :premises (@p136) :args ((forall @t15 @t140))) 120.84/121.31 (step @p138 :rule cong :premises (@p78) :args (@t141)) 120.84/121.31 (step @p139 :rule nary_cong :premises (@p52 @p138 @p109) :args (@t142)) 120.84/121.31 (step @p140 :rule cong :premises (@p139) :args ((forall @t15 @t142))) 120.84/121.31 (step @p141 :rule trans :premises (@p140 @p137)) 120.84/121.31 (step @p142 :rule aci_norm :args ((= (or @t125 (or @t141 @t11)) @t142))) 120.84/121.31 (step @p143 :rule bool-impl-elim :args (@t12 @t11)) 120.84/121.31 (step @p144 :rule refl :args (@t125)) 120.84/121.31 (step @p145 :rule nary_cong :premises (@p144 @p143) :args ((or @t125 @t13))) 120.84/121.31 (step @p146 :rule trans :premises (@p145 @p142)) 120.84/121.31 (step @p147 :rule bool-impl-elim :args (@t14 @t13)) 120.84/121.31 (step @p148 :rule trans :premises (@p147 @p146)) 120.84/121.31 (step @p149 :rule cong :premises (@p148) :args (@t16)) 120.84/121.31 (step @p150 :rule trans :premises (@p149 @p141)) 120.84/121.31 (step @p151 :rule refl :args (tptp.dsetconstrI)) 120.84/121.31 (step @p152 :rule cong :premises (@p151 @p150) :args (@t17)) 120.84/121.31 (step @p153 :rule eq_resolve :premises (@p1 @p152)) 120.84/121.31 (step @p154 :rule cong :premises (@p153 @p133) :args (@t143)) 120.84/121.31 (step @p155 :rule cong :premises (@p154) :args ((not @t143))) 120.84/121.31 (step @p156 :rule aci_norm :args ((= (or false @t106 @t101) @t107))) 120.84/121.31 (step @p157 :rule eq-symm :args (@t98 @t100)) 120.84/121.31 (step @p158 :rule aci_norm :args ((= @t144 @t105))) 120.84/121.31 (step @p159 :rule cong :premises (@p158) :args (@t145)) 120.84/121.31 (step @p160 :rule cong :premises (@p159) :args (@t146)) 120.84/121.31 (step @p161 :rule evaluate :args ((not true))) 120.84/121.31 (step @p162 :rule eq-refl :args (@t22)) 120.84/121.31 (step @p163 :rule cong :premises (@p162) :args (@t147)) 120.84/121.31 (step @p164 :rule trans :premises (@p163 @p161)) 120.84/121.31 (step @p165 :rule nary_cong :premises (@p164 @p160 @p157) :args (@t148)) 120.84/121.31 (step @p166 :rule trans :premises (@p165 @p156)) 120.84/121.31 (step @p167 :rule cong :premises (@p166) :args ((forall @t108 @t148))) 120.84/121.31 (step @p168 :rule quant-var-elim-eq :args ((= (forall @t153 @t152) @t148))) 120.84/121.31 (step @p169 :rule aci_norm :args ((= @t154 @t152))) 120.84/121.31 (step @p170 :rule cong :premises (@p169) :args (@t155)) 120.84/121.31 (step @p171 :rule trans :premises (@p170 @p168)) 120.84/121.31 (step @p172 :rule cong :premises (@p171) :args (@t156)) 120.84/121.31 (step @p173 :rule quant-merge-prenex :args ((= @t156 @t157))) 120.84/121.31 (step @p174 :rule symm :premises (@p173)) 120.84/121.31 (step @p175 :rule quant_var_reordering :args ((= (forall @t158 @t154) @t157))) 120.84/121.31 (step @p176 :rule trans :premises (@p175 @p174 @p172)) 120.84/121.31 (step @p177 :rule trans :premises (@p176 @p167)) 120.84/121.31 (step @p178 :rule aci_norm :args ((= @t160 @t154))) 120.84/121.31 (step @p179 :rule cong :premises (@p178) :args (@t161)) 120.84/121.31 (step @p180 :rule trans :premises (@p179 @p177)) 120.84/121.31 (step @p181 :rule quant-merge-prenex :args ((= (forall @t30 @t163) @t161))) 120.84/121.31 (step @p182 :rule alpha_equiv :args (@t164 (@list @t97 @t99) (@list @t2 @t33))) 120.84/121.31 (step @p183 :rule refl :args (@t151)) 120.84/121.31 (step @p184 :rule nary_cong :premises (@p183 @p182) :args (@t165)) 120.84/121.31 (step @p185 :rule quant-miniscope-or :args ((= @t163 @t165))) 120.84/121.31 (step @p186 :rule trans :premises (@p185 @p184)) 120.84/121.31 (step @p187 :rule symm :premises (@p186)) 120.84/121.31 (step @p188 :rule cong :premises (@p187) :args ((forall @t30 (or @t151 @t170)))) 120.84/121.31 (step @p189 :rule trans :premises (@p188 @p181)) 120.84/121.31 (step @p190 :rule trans :premises (@p189 @p180)) 120.84/121.31 (step @p191 :rule bool-impl-elim :args (@t23 @t170)) 120.84/121.31 (step @p192 :rule cong :premises (@p191) :args ((forall @t30 (=> @t23 @t170)))) 120.84/121.31 (step @p193 :rule trans :premises (@p192 @p190)) 120.84/121.31 (step @p194 :rule lambda-elim :args ((= @t171 @t33))) 120.84/121.31 (step @p195 :rule refl :args (@t22)) 120.84/121.31 (step @p196 :rule cong :premises (@p195 @p194) :args (@t172)) 120.84/121.31 (step @p197 :rule lambda-elim :args ((= @t173 @t2))) 120.84/121.31 (step @p198 :rule cong :premises (@p67 @p197) :args (@t174)) 120.84/121.31 (step @p199 :rule cong :premises (@p198 @p196) :args (@t175)) 120.84/121.31 (step @p200 :rule refl :args (@t169)) 120.84/121.31 (step @p201 :rule nary_cong :premises (@p200 @p199) :args (@t176)) 120.84/121.31 (step @p202 :rule cong :premises (@p201) :args ((forall @t50 @t176))) 120.84/121.31 (step @p203 :rule refl :args ((tptp.dsetconstr @t22 @t35))) 120.84/121.31 (step @p204 :rule refl :args (@t166)) 120.84/121.31 (step @p205 :rule cong :premises (@p204) :args (@t171)) 120.84/121.31 (step @p206 :rule refl :args (@t22)) 120.84/121.31 (step @p207 :rule cong :premises (@p206 @p205) :args (@t172)) 120.84/121.31 (step @p208 :rule trans :premises (@p207 @p203)) 120.84/121.31 (step @p209 :rule refl :args (@t36)) 120.84/121.31 (step @p210 :rule ho_cong :premises (@p209 @p205)) 120.84/121.31 (step @p211 :rule cong :premises (@p210 @p208) :args ((= (_ @t36 @t171) @t172))) 120.84/121.31 (step @p212 :rule symm :premises (@p211)) 120.84/121.31 (step @p213 :rule refl :args (@t37)) 120.84/121.31 (step @p214 :rule eq_resolve :premises (@p213 @p212)) 120.84/121.31 (step @p215 :rule refl :args (@t34)) 120.84/121.31 (step @p216 :rule cong :premises (@p215 @p204) :args ((= @t34 @t166))) 120.84/121.31 (step @p217 :rule symm :premises (@p216)) 120.84/121.31 (step @p218 :rule eq_resolve :premises (@p215 @p217)) 120.84/121.31 (step @p219 :rule cong :premises (@p218) :args (@t35)) 120.84/121.31 (step @p220 :rule ho_cong :premises (@p209 @p219)) 120.84/121.31 (step @p221 :rule trans :premises (@p220 @p214)) 120.84/121.31 (step @p222 :rule refl :args ((tptp.dsetconstr @t6 @t38))) 120.84/121.31 (step @p223 :rule cong :premises (@p74) :args (@t173)) 120.84/121.31 (step @p224 :rule cong :premises (@p83 @p223) :args (@t174)) 120.84/121.31 (step @p225 :rule trans :premises (@p224 @p222)) 120.84/121.31 (step @p226 :rule ho_cong :premises (@p95 @p223)) 120.84/121.31 (step @p227 :rule cong :premises (@p226 @p225) :args ((= (_ @t7 @t173) @t174))) 120.84/121.31 (step @p228 :rule symm :premises (@p227)) 120.84/121.31 (step @p229 :rule refl :args (@t39)) 120.84/121.31 (step @p230 :rule eq_resolve :premises (@p229 @p228)) 120.84/121.31 (step @p231 :rule cong :premises (@p78) :args (@t38)) 120.84/121.31 (step @p232 :rule ho_cong :premises (@p95 @p231)) 120.84/121.31 (step @p233 :rule trans :premises (@p232 @p230)) 120.84/121.31 (step @p234 :rule cong :premises (@p233 @p221) :args (@t40)) 120.84/121.31 (step @p235 :rule refl :args (@t169)) 120.84/121.31 (step @p236 :rule nary_cong :premises (@p235 @p234) :args (@t177)) 120.84/121.31 (step @p237 :rule cong :premises (@p236) :args ((forall @t50 @t177))) 120.84/121.31 (step @p238 :rule trans :premises (@p237 @p202)) 120.84/121.31 (step @p239 :rule bool-impl-elim :args (@t168 @t40)) 120.84/121.31 (step @p240 :rule cong :premises (@p239) :args ((forall @t50 (=> @t168 @t40)))) 120.84/121.31 (step @p241 :rule trans :premises (@p240 @p238)) 120.84/121.31 (step @p242 :rule refl :args (@t40)) 120.84/121.31 (step @p243 :rule refl :args (@t167)) 120.84/121.31 (step @p244 :rule refl :args (@t104)) 120.84/121.31 (step @p245 :rule nary_cong :premises (@p52 @p244 @p243) :args (@t178)) 120.84/121.31 (step @p246 :rule cong :premises (@p245) :args ((forall @t25 @t178))) 120.84/121.31 (step @p247 :rule aci_norm :args ((= (or @t125 @t179) @t178))) 120.84/121.31 (step @p248 :rule bool-impl-elim :args (@t14 @t179)) 120.84/121.31 (step @p249 :rule trans :premises (@p248 @p247)) 120.84/121.31 (step @p250 :rule cong :premises (@p249) :args ((forall @t25 (=> @t14 @t179)))) 120.84/121.31 (step @p251 :rule trans :premises (@p250 @p246)) 120.84/121.31 (step @p252 :rule aci_norm :args ((= (or @t104 false @t167) @t179))) 120.84/121.31 (step @p253 :rule refl :args (@t167)) 120.84/121.31 (step @p254 :rule eq-refl :args (@t9)) 120.84/121.31 (step @p255 :rule cong :premises (@p254) :args (@t180)) 120.84/121.31 (step @p256 :rule trans :premises (@p255 @p161)) 120.84/121.31 (step @p257 :rule refl :args (@t104)) 120.84/121.31 (step @p258 :rule nary_cong :premises (@p257 @p256 @p253) :args (@t181)) 120.84/121.31 (step @p259 :rule trans :premises (@p258 @p252)) 120.84/121.31 (step @p260 :rule quant-var-elim-eq :args ((= (forall @t4 (or (not (= @t1 @t9)) @t186 @t184 @t183)) @t181))) 120.84/121.31 (step @p261 :rule refl :args (@t183)) 120.84/121.31 (step @p262 :rule refl :args (@t184)) 120.84/121.31 (step @p263 :rule refl :args (@t186)) 120.84/121.31 (step @p264 :rule eq-symm :args (@t9 @t1)) 120.84/121.31 (step @p265 :rule cong :premises (@p264) :args (@t184)) 120.84/121.31 (step @p266 :rule nary_cong :premises (@p265 @p263 @p262 @p261) :args (@t187)) 120.84/121.31 (step @p267 :rule aci_norm :args ((= @t188 @t187))) 120.84/121.31 (step @p268 :rule trans :premises (@p267 @p266)) 120.84/121.31 (step @p269 :rule cong :premises (@p268) :args ((forall @t4 @t188))) 120.84/121.31 (step @p270 :rule trans :premises (@p269 @p260)) 120.84/121.31 (step @p271 :rule trans :premises (@p270 @p259)) 120.84/121.31 (step @p272 :rule refl :args (@t182)) 120.84/121.31 (step @p273 :rule refl :args (@t41)) 120.84/121.31 (step @p274 :rule cong :premises (@p273 @p272) :args ((= @t41 @t182))) 120.84/121.31 (step @p275 :rule symm :premises (@p274)) 120.84/121.31 (step @p276 :rule eq_resolve :premises (@p273 @p275)) 120.84/121.31 (step @p277 :rule cong :premises (@p78 @p276) :args (@t42)) 120.84/121.31 (step @p278 :rule refl :args (@t185)) 120.84/121.31 (step @p279 :rule refl :args (@t45)) 120.84/121.31 (step @p280 :rule cong :premises (@p279 @p278) :args ((= @t45 @t185))) 120.84/121.31 (step @p281 :rule symm :premises (@p280)) 120.84/121.31 (step @p282 :rule eq_resolve :premises (@p279 @p281)) 120.84/121.31 (step @p283 :rule cong :premises (@p282) :args (@t189)) 120.84/121.31 (step @p284 :rule nary_cong :premises (@p283 @p262 @p277) :args (@t190)) 120.84/121.31 (step @p285 :rule cong :premises (@p284) :args ((forall @t4 @t190))) 120.84/121.31 (step @p286 :rule trans :premises (@p285 @p271)) 120.84/121.31 (step @p287 :rule aci_norm :args ((= (or @t189 (or @t184 @t42)) @t190))) 120.84/121.31 (step @p288 :rule bool-impl-elim :args (@t43 @t42)) 120.84/121.31 (step @p289 :rule refl :args (@t189)) 120.84/121.31 (step @p290 :rule nary_cong :premises (@p289 @p288) :args ((or @t189 @t44))) 120.84/121.31 (step @p291 :rule trans :premises (@p290 @p287)) 120.84/121.31 (step @p292 :rule bool-impl-elim :args (@t45 @t44)) 120.84/121.31 (step @p293 :rule trans :premises (@p292 @p291)) 120.84/121.31 (step @p294 :rule cong :premises (@p293) :args (@t46)) 120.84/121.31 (step @p295 :rule trans :premises (@p294 @p286)) 120.84/121.31 (step @p296 :rule refl :args (@t14)) 120.84/121.31 (step @p297 :rule cong :premises (@p296 @p295) :args (@t47)) 120.84/121.31 (step @p298 :rule cong :premises (@p297) :args (@t48)) 120.84/121.31 (step @p299 :rule trans :premises (@p298 @p251)) 120.84/121.31 (step @p300 :rule cong :premises (@p299 @p242) :args (@t49)) 120.84/121.31 (step @p301 :rule cong :premises (@p300) :args (@t51)) 120.84/121.31 (step @p302 :rule trans :premises (@p301 @p241)) 120.84/121.31 (step @p303 :rule cong :premises (@p34 @p302) :args (@t52)) 120.84/121.31 (step @p304 :rule cong :premises (@p303) :args (@t53)) 120.84/121.31 (step @p305 :rule trans :premises (@p304 @p193)) 120.84/121.31 (step @p306 :rule cong :premises (@p61 @p305) :args (@t54)) 120.84/121.31 (step @p307 :rule cong :premises (@p117 @p306) :args (@t55)) 120.84/121.31 (step @p308 :rule cong :premises (@p130 @p307) :args (@t56)) 120.84/121.31 (step @p309 :rule cong :premises (@p151 @p308) :args (@t57)) 120.84/121.31 (step @p310 :rule cong :premises (@p309) :args (@t58)) 120.84/121.31 (step @p311 :rule trans :premises (@p310 @p155 @p24 @p23)) 120.84/121.31 (step @p312 :rule eq_resolve :premises (@p5 @p311)) 120.84/121.31 (step @p313 :rule not_implies_elim2 :premises (@p312)) 120.84/121.31 (step @p314 :rule not_implies_elim2 :premises (@p313)) 120.84/121.31 (step @p315 :rule not_implies_elim2 :premises (@p314)) 120.84/121.31 (step @p316 :rule not_implies_elim2 :premises (@p315)) 120.84/121.31 (step @p317 :rule skolemize :premises (@p316)) 120.84/121.31 (step @p318 :rule bool-double-not-elim :args (@t195)) 120.84/121.31 (step @p319 :rule refl :args (@t201)) 120.84/121.31 (step @p320 :rule nary_cong :premises (@p319 @p318) :args ((or @t201 (not @t200)))) 120.84/121.31 (step @p321 :rule cnf_or_neg :args (@t201 0)) 120.84/121.31 (step @p322 :rule eq_resolve :premises (@p321 @p320)) 120.84/121.31 (step @p323 :rule reordering :premises (@p322) :args ((or @t195 @t201))) 120.84/121.31 (step @p324 :rule chain_resolution :premises (@p323 @p317) :args (@t202 @t203)) 120.84/121.31 (step @p325 :rule eq-symm :args (@t208 @t209)) 120.84/121.31 (step @p326 :rule refl :args (@t212)) 120.84/121.31 (step @p327 :rule nary_cong :premises (@p326 @p325) :args (@t213)) 120.84/121.31 (step @p328 :rule refl :args (@t195)) 120.84/121.31 (step @p329 :rule cong :premises (@p328 @p327) :args ((=> @t195 @t213))) 120.84/121.31 (assume-push @p432 @t195) 120.84/121.31 (step @p331 :rule instantiate :premises (@p324) :args ((@list @t207))) 120.84/121.31 (step-pop @p432 :rule scope :premises (@p331)) 120.84/121.31 (step @p332 :rule process_scope :premises (@p432) :args (@t213)) 120.84/121.31 (step @p334 :rule eq_resolve :premises (@p332 @p329)) 120.84/121.31 (step @p335 :rule implies_elim :premises (@p334)) 120.84/121.31 (step @p336 :rule chain_resolution :premises (@p335 @p324) :args (@t214 (@list @t195))) 120.84/121.31 (step @p337 :rule not_implies_elim1 :premises (@p313)) 120.84/121.31 (step @p338 :rule instantiate :premises (@p337) :args (@t215)) 120.84/121.31 (step @p339 :rule not_implies_elim1 :premises (@p315)) 120.84/121.31 (step @p340 :rule eq-symm :args (@t197 @t198)) 120.84/121.31 (step @p341 :rule refl :args (@t217)) 120.84/121.31 (step @p342 :rule refl :args (@t218)) 120.84/121.31 (step @p343 :rule nary_cong :premises (@p342 @p341 @p340) :args (@t219)) 120.84/121.31 (step @p344 :rule cong :premises (@p15 @p343) :args ((=> @t83 @t219))) 120.84/121.31 (assume-push @p434 @t83) 120.84/121.31 (step @p346 :rule instantiate :premises (@p339) :args ((@list @t197 @t198))) 120.84/121.31 (step-pop @p434 :rule scope :premises (@p346)) 120.84/121.31 (step @p347 :rule process_scope :premises (@p434) :args (@t219)) 120.84/121.31 (step @p349 :rule eq_resolve :premises (@p347 @p344)) 120.84/121.31 (step @p350 :rule implies_elim :premises (@p349)) 120.84/121.31 (step @p351 :rule chain_resolution :premises (@p350 @p339) :args (@t214 (@list @t83))) 120.84/121.31 (step @p352 :rule bool-double-not-elim :args (@t222)) 120.84/121.31 (step @p353 :rule refl :args (@t225)) 120.84/121.31 (step @p354 :rule nary_cong :premises (@p353 @p352) :args ((or @t225 (not @t224)))) 120.84/121.31 (step @p355 :rule cnf_or_neg :args (@t225 0)) 120.84/121.31 (step @p356 :rule eq_resolve :premises (@p355 @p354)) 120.84/121.31 (step @p357 :rule reordering :premises (@p356) :args ((or @t222 @t225))) 120.84/121.31 (step @p358 :rule cnf_or_neg :args (@t225 1)) 120.84/121.31 (step @p359 :rule instantiate :premises (@p337) :args (@t226)) 120.84/121.31 (step @p360 :rule cnf_or_pos :args (@t228)) 120.84/121.31 (step @p361 :rule reordering :premises (@p360) :args ((or @t224 @t227 (not @t228)))) 120.84/121.31 (step @p362 :rule not_implies_elim1 :premises (@p314)) 120.84/121.31 (step @p363 :rule instantiate :premises (@p362) :args (@t226)) 120.84/121.31 (step @p364 :rule cnf_or_pos :args (@t230)) 120.84/121.31 (step @p365 :rule reordering :premises (@p364) :args ((or @t224 @t229 (not @t230)))) 120.84/121.31 (step @p366 :rule not_implies_elim1 :premises (@p312)) 120.84/121.31 (step @p367 :rule instantiate :premises (@p366) :args ((@list @t194 @t193 @t220))) 120.84/121.31 (step @p368 :rule cnf_or_pos :args (@t234)) 120.84/121.31 (step @p369 :rule reordering :premises (@p368) :args ((or @t223 @t233 @t232 (not @t234)))) 120.84/121.31 (step @p370 :rule instantiate :premises (@p324) :args ((@list @t220))) 120.84/121.31 (step @p371 :rule cnf_or_pos :args (@t236)) 120.84/121.31 (step @p372 :rule reordering :premises (@p371) :args ((or @t233 @t235 (not @t236)))) 120.84/121.31 (step @p373 :rule cnf_equiv_pos2 :args (@t235)) 120.84/121.31 (step @p374 :rule reordering :premises (@p373) :args ((or @t231 (not @t229) (not @t235)))) 120.84/121.31 (step @p375 :rule chain_resolution :premises (@p374 @p372 @p370 @p369 @p367 @p365 @p363) :args ((@list false false true false false false) (@list @t235 @t236 @t231 @t234 @t229 @t230))) 120.84/121.31 (step @p376 :rule factoring :premises (@p375)) 120.84/121.31 (step @p377 :rule chain_resolution :premises (@p376 @p361 @p359 @p358) :args ((@list false false true) (@list @t227 @t228 @t223))) 120.84/121.31 (step @p378 :rule factoring :premises (@p377)) 120.84/121.31 (step @p379 :rule chain_resolution :premises (@p378 @p357) :args (@t214 (@list @t222))) 120.84/121.31 (step @p380 :rule factoring :premises (@p379)) 120.84/121.31 (step @p381 :rule refl :args (@t237)) 120.84/121.31 (step @p382 :rule bool-double-not-elim :args (@t216)) 120.84/121.31 (step @p383 :rule nary_cong :premises (@p382 @p381) :args ((or (not @t217) @t237))) 120.84/121.31 (assume-push @p436 @t217) 120.84/121.31 (step @p385 :rule skolemize :premises (@p436)) 120.84/121.31 (step-pop @p436 :rule scope :premises (@p385)) 120.84/121.31 (step @p386 :rule process_scope :premises (@p436) :args (@t237)) 120.84/121.31 (step @p388 :rule implies_elim :premises (@p386)) 120.84/121.31 (step @p389 :rule eq_resolve :premises (@p388 @p383)) 120.84/121.31 (step @p390 :rule chain_resolution :premises (@p389 @p380) :args (@t214 (@list @t225))) 120.84/121.31 (step @p391 :rule cnf_or_neg :args (@t201 1)) 120.84/121.31 (step @p392 :rule chain_resolution :premises (@p391 @p317) :args (@t202 @t203)) 120.84/121.31 (step @p393 :rule cnf_or_pos :args (@t238)) 120.84/121.31 (step @p394 :rule reordering :premises (@p393) :args ((or @t199 @t218 @t217 (not @t238)))) 120.84/121.31 (step @p395 :rule chain_resolution :premises (@p394 @p392 @p390 @p351) :args (@t239 (@list @t199 @t216 @t238))) 120.84/121.31 (step @p396 :rule refl :args (@t244)) 120.84/121.31 (step @p397 :rule bool-double-not-elim :args (@t206)) 120.84/121.31 (step @p398 :rule nary_cong :premises (@p397 @p396) :args ((or (not @t218) @t244))) 120.84/121.31 (assume-push @p438 @t218) 120.84/121.31 (step @p400 :rule skolemize :premises (@p438)) 120.84/121.31 (step-pop @p438 :rule scope :premises (@p400)) 120.84/121.31 (step @p401 :rule process_scope :premises (@p438) :args (@t244)) 120.84/121.31 (step @p403 :rule implies_elim :premises (@p401)) 120.84/121.31 (step @p404 :rule eq_resolve :premises (@p403 @p398)) 120.84/121.31 (step @p405 :rule chain_resolution :premises (@p404 @p395) :args (@t202 (@list @t206))) 120.84/121.31 (step @p406 :rule bool-double-not-elim :args (@t241)) 120.84/121.31 (step @p407 :rule refl :args (@t243)) 120.84/121.31 (step @p408 :rule nary_cong :premises (@p407 @p406) :args ((or @t243 (not @t242)))) 120.84/121.31 (step @p409 :rule cnf_or_neg :args (@t243 0)) 120.84/121.31 (step @p410 :rule eq_resolve :premises (@p409 @p408)) 120.84/121.31 (step @p411 :rule reordering :premises (@p410) :args ((or @t241 @t243))) 120.84/121.31 (step @p412 :rule chain_resolution :premises (@p411 @p405) :args (@t202 @t245)) 120.84/121.31 (step @p413 :rule cnf_or_pos :args (@t246)) 120.84/121.31 (step @p414 :rule reordering :premises (@p413) :args ((or @t242 @t211 (not @t246)))) 120.84/121.31 (step @p415 :rule chain_resolution :premises (@p414 @p412 @p338) :args (@t247 (@list @t241 @t246))) 120.84/121.31 (step @p416 :rule cnf_or_pos :args (@t249)) 120.84/121.31 (step @p417 :rule reordering :premises (@p416) :args ((or @t212 @t248 (not @t249)))) 120.84/121.31 (step @p418 :rule chain_resolution :premises (@p417 @p415 @p336) :args (@t247 (@list @t211 @t249))) 120.84/121.31 (step @p419 :rule instantiate :premises (@p362) :args (@t215)) 120.84/121.31 (step @p420 :rule cnf_or_pos :args (@t250)) 120.84/121.31 (step @p421 :rule reordering :premises (@p420) :args ((or @t242 @t208 (not @t250)))) 120.84/121.31 (step @p422 :rule chain_resolution :premises (@p421 @p412 @p419) :args (@t247 (@list @t241 @t250))) 120.84/121.31 (step @p423 :rule instantiate :premises (@p366) :args ((@list @t194 @t192 @t207))) 120.84/121.31 (step @p424 :rule cnf_or_neg :args (@t243 1)) 120.84/121.31 (step @p425 :rule chain_resolution :premises (@p424 @p405) :args (@t202 @t245)) 120.84/121.31 (step @p426 :rule cnf_or_pos :args (@t252)) 120.84/121.31 (step @p427 :rule reordering :premises (@p426) :args ((or @t240 @t212 @t251 (not @t252)))) 120.84/121.31 (step @p428 :rule chain_resolution :premises (@p427 @p425 @p415 @p423) :args (@t239 (@list @t240 @t211 @t252))) 120.84/121.31 (step @p429 :rule cnf_equiv_pos2 :args (@t248)) 120.84/121.31 (step @p430 :rule reordering :premises (@p429) :args ((or @t209 (not @t208) (not @t248)))) 120.84/121.31 (step @p431 false :rule chain_resolution :premises (@p430 @p428 @p422 @p418) :args (@t239 (@list @t209 @t208 @t248))) 120.84/121.31 ) 120.84/121.31 % SZS output end Proof 120.84/121.32 % cvc5 exiting 120.84/121.32 EOF