%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM666^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:40:18 AM UTC 2026 % Result : Theorem 119.97s 120.26s % Output : Proof 119.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : NUM666^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n025.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 11:47:46 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 119.97/120.26 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 119.97/120.26 --- 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... % 119.97/120.26 --- 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... % 119.97/120.26 --- Run --ho-elim --full-saturate-quant at 18s... % 119.97/120.26 % SZS status Theorem % 119.97/120.26 % SZS output start Proof % 119.97/120.26 ( % 119.97/120.26 (declare-sort tptp.nat 0) % 119.97/120.26 (declare-const tptp.moreis (-> tptp.nat tptp.nat Bool)) % 119.97/120.26 (declare-const tptp.z tptp.nat) % 119.97/120.26 (declare-const tptp.some (-> (-> tptp.nat Bool) Bool)) % 119.97/120.26 (declare-const tptp.diffprop (-> tptp.nat tptp.nat tptp.nat Bool)) % 119.97/120.26 (declare-const tptp.x tptp.nat) % 119.97/120.26 (declare-const tptp.lessis (-> tptp.nat tptp.nat Bool)) % 119.97/120.26 (declare-const tptp.y tptp.nat) % 119.97/120.26 (define @t1 () (@var "Xu" tptp.nat)) % 119.97/120.26 (define @t2 () (_ tptp.diffprop tptp.x)) % 119.97/120.26 (define @t3 () (@list @t1)) % 119.97/120.26 (define @t4 () (_ tptp.some (lambda @t3 (_ (_ @t2 tptp.y) @t1)))) % 119.97/120.26 (define @t5 () (_ (_ tptp.moreis tptp.y) tptp.z)) % 119.97/120.26 (define @t6 () (@var "Xv" tptp.nat)) % 119.97/120.26 (define @t7 () (@var "Xx" tptp.nat)) % 119.97/120.26 (define @t8 () (@var "Xz" tptp.nat)) % 119.97/120.26 (define @t9 () (_ tptp.diffprop @t8)) % 119.97/120.26 (define @t10 () (_ (_ @t9 @t7) @t6)) % 119.97/120.26 (define @t11 () (@list @t6)) % 119.97/120.26 (define @t12 () (lambda @t11 @t10)) % 119.97/120.26 (define @t13 () (_ tptp.some @t12)) % 119.97/120.26 (define @t14 () (@var "Xy" tptp.nat)) % 119.97/120.26 (define @t15 () (_ (_ @t9 @t14) @t6)) % 119.97/120.26 (define @t16 () (lambda @t11 @t15)) % 119.97/120.26 (define @t17 () (_ tptp.some @t16)) % 119.97/120.26 (define @t18 () (=> @t17 @t13)) % 119.97/120.26 (define @t19 () (_ (_ tptp.lessis @t7) @t14)) % 119.97/120.26 (define @t20 () (@list @t7 @t14 @t8)) % 119.97/120.26 (define @t21 () (forall @t20 (=> @t19 @t18))) % 119.97/120.26 (define @t22 () (_ (_ tptp.lessis @t14) @t7)) % 119.97/120.26 (define @t23 () (_ (_ tptp.moreis @t7) @t14)) % 119.97/120.26 (define @t24 () (@list @t7 @t14)) % 119.97/120.26 (define @t25 () (forall @t24 (=> @t23 @t22))) % 119.97/120.26 (define @t26 () (not (_ tptp.some (lambda @t3 (_ (_ @t2 tptp.z) @t1))))) % 119.97/120.26 (define @t27 () (@var "ii" (@ho-elim-sort (-> tptp.nat Bool)))) % 119.97/120.26 (define @t28 () (@var "u" (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.nat Bool)) Bool)))) % 119.97/120.26 (define @t29 () (@const 0 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.nat Bool)) Bool)) (@ho-elim-sort (-> tptp.nat Bool)) Bool))) % 119.97/120.26 (define @t30 () (@var "e" Bool)) % 119.97/120.26 (define @t31 () (@var "i" (@ho-elim-sort (-> tptp.nat Bool)))) % 119.97/120.26 (define @t32 () (@var "v" (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.nat Bool)) Bool)))) % 119.97/120.26 (define @t33 () (_ @t29 @t32 @t27)) % 119.97/120.26 (define @t34 () (@list @t27)) % 119.97/120.26 (define @t35 () (@list @t32)) % 119.97/120.26 (define @t36 () (forall (@list @t28 @t30 @t31) (not (forall @t35 (not (forall @t34 (= @t33 (ite (= @t31 @t27) @t30 (_ @t29 @t28 @t27))))))))) % 119.97/120.26 (define @t37 () (@const 1 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.nat Bool)) Bool)))) % 119.97/120.26 (define @t38 () (_ @t29 @t37 @t27)) % 119.97/120.26 (define @t39 () (@const 2 (@ho-elim-sort (-> tptp.nat Bool)))) % 119.97/120.26 (define @t40 () (_ @t29 @t37 @t39)) % 119.97/120.26 (define @t41 () (@const 3 (@ho-elim-sort (-> tptp.nat tptp.nat tptp.nat Bool)))) % 119.97/120.26 (define @t42 () (@const 4 (-> (@ho-elim-sort (-> tptp.nat tptp.nat tptp.nat Bool)) tptp.nat (@ho-elim-sort (-> tptp.nat tptp.nat Bool))))) % 119.97/120.27 (define @t43 () (_ @t42 @t41 tptp.x)) % 119.97/120.27 (define @t44 () (@const 5 (-> (@ho-elim-sort (-> tptp.nat tptp.nat Bool)) tptp.nat (@ho-elim-sort (-> tptp.nat Bool))))) % 119.97/120.27 (define @t45 () (_ @t44 @t43 tptp.y)) % 119.97/120.27 (define @t46 () (ite (= @t45 @t27) @t40 @t38)) % 119.97/120.27 (define @t47 () (= @t33 @t46)) % 119.97/120.27 (define @t48 () (forall @t34 @t47)) % 119.97/120.27 (define @t49 () (not @t48)) % 119.97/120.27 (define @t50 () (forall @t35 @t49)) % 119.97/120.27 (define @t51 () (not @t50)) % 119.97/120.27 (define @t52 () (ite (= @t27 @t45) @t40 @t38)) % 119.97/120.27 (define @t53 () (forall @t35 (not (forall @t34 (= @t33 @t52))))) % 119.97/120.27 (define @t54 () (not @t53)) % 119.97/120.27 (define @t55 () (@list false)) % 119.97/120.27 (define @t56 () (@list @t36)) % 119.97/120.27 (define @t57 () (@quantifiers_skolemize @t53 0)) % 119.97/120.27 (define @t58 () (_ @t29 @t57 @t27)) % 119.97/120.27 (define @t59 () (forall @t34 (= @t52 @t58))) % 119.97/120.27 (define @t60 () (forall @t34 (= @t58 @t52))) % 119.97/120.27 (define @t61 () (not (not @t60))) % 119.97/120.27 (define @t62 () (@list true)) % 119.97/120.27 (define @t63 () (_ @t44 @t43 tptp.z)) % 119.97/120.27 (define @t64 () (_ @t29 @t37 @t63)) % 119.97/120.27 (define @t65 () (ite (= @t45 @t63) @t40 @t64)) % 119.97/120.27 (define @t66 () (_ @t29 @t57 @t63)) % 119.97/120.27 (define @t67 () (ite (= @t63 @t45) @t40 @t64)) % 119.97/120.27 (define @t68 () (= @t67 @t66)) % 119.97/120.27 (define @t69 () (= @t66 @t65)) % 119.97/120.27 (define @t70 () (@const 6 (@ho-elim-sort (-> tptp.nat tptp.nat tptp.nat Bool)))) % 119.97/120.27 (define @t71 () (@const 7 (@ho-elim-sort (-> tptp.nat tptp.nat Bool)))) % 119.97/120.27 (define @t72 () (@const 8 (-> (@ho-elim-sort (-> tptp.nat Bool)) tptp.nat Bool))) % 119.97/120.27 (define @t73 () (@const 9 (-> tptp.nat tptp.nat tptp.nat Bool))) % 119.97/120.27 (define @t74 () (@const 10 (-> tptp.nat tptp.nat tptp.nat Bool))) % 119.97/120.27 (define @t75 () (tptp.lessis @t7 @t14)) % 119.97/120.27 (define @t76 () (not @t75)) % 119.97/120.27 (define @t77 () (forall @t20 (or @t76 (not (tptp.some (_ (_ @t74 @t8) @t14))) (tptp.some (_ (_ @t73 @t8) @t7))))) % 119.97/120.27 (define @t78 () (tptp.diffprop @t8 @t7 @t6)) % 119.97/120.27 (define @t79 () (lambda @t11 @t78)) % 119.97/120.27 (define @t80 () (tptp.some @t79)) % 119.97/120.27 (define @t81 () (tptp.diffprop @t8 @t14 @t6)) % 119.97/120.27 (define @t82 () (lambda @t11 @t81)) % 119.97/120.27 (define @t83 () (tptp.some @t82)) % 119.97/120.27 (define @t84 () (not @t17)) % 119.97/120.27 (define @t85 () (not @t19)) % 119.97/120.27 (define @t86 () (or @t85 @t84 @t13)) % 119.97/120.27 (define @t87 () (@var "y" (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.nat Bool)) Bool)))) % 119.97/120.27 (define @t88 () (@var "x" (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.nat Bool)) Bool)))) % 119.97/120.27 (define @t89 () (@var "z" (@ho-elim-sort (-> tptp.nat Bool)))) % 119.97/120.27 (define @t90 () (@list @t89)) % 119.97/120.27 (define @t91 () (= @t39 @t27)) % 119.97/120.27 (define @t92 () (and (not @t91) @t38)) % 119.97/120.27 (define @t93 () (forall @t35 (not (forall @t34 (= @t33 @t92))))) % 119.97/120.27 (define @t94 () (@quantifiers_skolemize @t93 0)) % 119.97/120.27 (define @t95 () (_ @t29 @t94 @t27)) % 119.97/120.27 (define @t96 () (ite @t91 @t40 @t95)) % 119.97/120.27 (define @t97 () (forall @t35 (not (forall @t34 (= @t33 @t96))))) % 119.97/120.27 (define @t98 () (@quantifiers_skolemize @t97 0)) % 119.97/120.27 (define @t99 () (forall @t90 (= (_ @t29 @t37 @t89) (_ @t29 @t98 @t89)))) % 119.97/120.27 (define @t100 () (@quantifiers_skolemize @t99 0)) % 119.97/120.27 (define @t101 () (_ @t29 @t98 @t100)) % 119.97/120.27 (define @t102 () (_ @t29 @t37 @t100)) % 119.97/120.27 (define @t103 () (= @t102 @t101)) % 119.97/120.27 (define @t104 () (_ @t29 @t98 @t27)) % 119.97/120.27 (define @t105 () (forall @t34 (= @t96 @t104))) % 119.97/120.27 (define @t106 () (not @t97)) % 119.97/120.27 (define @t107 () (forall @t34 (= @t104 @t96))) % 119.97/120.27 (define @t108 () (not (not @t107))) % 119.97/120.27 (define @t109 () (_ @t29 @t94 @t100)) % 119.97/120.27 (define @t110 () (= @t39 @t100)) % 119.97/120.27 (define @t111 () (ite @t110 @t40 @t109)) % 119.97/120.27 (define @t112 () (= @t111 @t101)) % 119.97/120.27 (define @t113 () (@list @t100)) % 119.97/120.27 (define @t114 () (= @t101 @t111)) % 119.97/120.27 (define @t115 () (not @t114)) % 119.97/120.27 (define @t116 () (not @t111)) % 119.97/120.27 (define @t117 () (@const 11 (-> tptp.nat Bool))) % 119.97/120.27 (define @t118 () (_ tptp.some @t117)) % 119.97/120.27 (define @t119 () (not @t109)) % 119.97/120.27 (define @t120 () (not @t40)) % 119.97/120.27 (define @t121 () (not @t110)) % 119.97/120.27 (define @t122 () (= @t33 (ite @t91 false @t38))) % 119.97/120.27 (define @t123 () (forall @t34 @t122)) % 119.97/120.27 (define @t124 () (not @t123)) % 119.97/120.27 (define @t125 () (forall @t35 @t124)) % 119.97/120.27 (define @t126 () (not @t125)) % 119.97/120.27 (define @t127 () (not @t93)) % 119.97/120.27 (define @t128 () (forall @t34 (= @t92 @t95))) % 119.97/120.27 (define @t129 () (forall @t34 (= @t95 @t92))) % 119.97/120.27 (define @t130 () (not (not @t129))) % 119.97/120.27 (define @t131 () (and @t121 @t102)) % 119.97/120.27 (define @t132 () (= @t131 @t109)) % 119.97/120.27 (define @t133 () (not @t132)) % 119.97/120.27 (define @t134 () (not @t131)) % 119.97/120.27 (define @t135 () (not @t102)) % 119.97/120.27 (define @t136 () (= false true)) % 119.97/120.27 (define @t137 () (and @t40 @t110 @t135)) % 119.97/120.27 (define @t138 () (not @t103)) % 119.97/120.27 (define @t139 () (not @t99)) % 119.97/120.27 (define @t140 () (= @t37 @t98)) % 119.97/120.27 (define @t141 () (or @t139 @t140)) % 119.97/120.27 (define @t142 () (@list false false)) % 119.97/120.27 (define @t143 () (@var "y" (@ho-elim-sort (-> tptp.nat Bool)))) % 119.97/120.27 (define @t144 () (@var "x" (@ho-elim-sort (-> tptp.nat Bool)))) % 119.97/120.27 (define @t145 () (@var "z" tptp.nat)) % 119.97/120.27 (define @t146 () (@list @t145)) % 119.97/120.27 (define @t147 () (_ @t44 (_ @t42 @t70 tptp.x) tptp.y)) % 119.97/120.27 (define @t148 () (_ @t72 @t39 @t145)) % 119.97/120.27 (define @t149 () (forall @t146 (= @t148 (_ @t72 @t147 @t145)))) % 119.97/120.27 (define @t150 () (@quantifiers_skolemize @t149 0)) % 119.97/120.27 (define @t151 () (_ @t72 @t147 @t150)) % 119.97/120.27 (define @t152 () (_ @t72 @t39 @t150)) % 119.97/120.27 (define @t153 () (= @t152 @t151)) % 119.97/120.27 (define @t154 () (@var "BOUND_VARIABLE_7536" tptp.nat)) % 119.97/120.27 (define @t155 () (@var "BOUND_VARIABLE_7535" tptp.nat)) % 119.97/120.27 (define @t156 () (@var "BOUND_VARIABLE_7534" tptp.nat)) % 119.97/120.27 (define @t157 () (@const 12 (@ho-elim-sort (-> tptp.nat tptp.nat tptp.nat Bool)))) % 119.97/120.27 (define @t158 () (_ @t72 (_ @t44 (_ @t42 @t157 @t156) @t155) @t154)) % 119.97/120.27 (define @t159 () (_ @t72 (_ @t44 (_ @t42 @t70 @t156) @t155) @t154)) % 119.97/120.27 (define @t160 () (@list @t156 @t155 @t154)) % 119.97/120.27 (define @t161 () (forall @t160 (= @t158 @t159))) % 119.97/120.27 (define @t162 () (forall @t160 (= (tptp.diffprop @t156 @t155 @t154) (_ @t74 @t156 @t155 @t154)))) % 119.97/120.27 (define @t163 () (_ @t42 @t157 tptp.x)) % 119.97/120.27 (define @t164 () (_ @t44 @t163 tptp.y)) % 119.97/120.27 (define @t165 () (_ @t72 @t164 @t150)) % 119.97/120.27 (define @t166 () (= @t151 @t165)) % 119.97/120.27 (define @t167 () (not @t166)) % 119.97/120.27 (define @t168 () (not @t165)) % 119.97/120.27 (define @t169 () (@purify @t164)) % 119.97/120.27 (define @t170 () (forall @t146 (= @t148 (_ @t72 @t169 @t145)))) % 119.97/120.27 (define @t171 () (@quantifiers_skolemize @t170 0)) % 119.97/120.27 (define @t172 () (_ @t72 @t169 @t171)) % 119.97/120.27 (define @t173 () (_ @t72 @t39 @t171)) % 119.97/120.27 (define @t174 () (= @t173 @t172)) % 119.97/120.27 (define @t175 () (@var "BOUND_VARIABLE_7520" tptp.nat)) % 119.97/120.27 (define @t176 () (_ @t72 @t39 @t175)) % 119.97/120.27 (define @t177 () (_ @t72 @t164 @t175)) % 119.97/120.27 (define @t178 () (@list @t175)) % 119.97/120.27 (define @t179 () (forall @t178 (= @t176 @t177))) % 119.97/120.27 (define @t180 () (forall @t178 (= (_ @t117 @t175) (tptp.diffprop tptp.x tptp.y @t175)))) % 119.97/120.27 (define @t181 () (_ @t72 @t164 @t171)) % 119.97/120.27 (define @t182 () (forall @t178 (= @t177 @t176))) % 119.97/120.27 (define @t183 () (= @t181 @t173)) % 119.97/120.27 (define @t184 () (= @t173 @t181)) % 119.97/120.27 (define @t185 () (not @t184)) % 119.97/120.27 (define @t186 () (not @t173)) % 119.97/120.27 (define @t187 () (not @t181)) % 119.97/120.27 (define @t188 () (= @t164 @t169)) % 119.97/120.27 (define @t189 () (not @t188)) % 119.97/120.27 (define @t190 () (not @t172)) % 119.97/120.27 (define @t191 () (and @t188 @t190)) % 119.97/120.27 (define @t192 () (@list false false false true)) % 119.97/120.27 (define @t193 () (and @t188 @t172)) % 119.97/120.27 (define @t194 () (@list false true false false true)) % 119.97/120.27 (define @t195 () (not @t174)) % 119.97/120.27 (define @t196 () (not @t170)) % 119.97/120.27 (define @t197 () (= @t39 @t169)) % 119.97/120.27 (define @t198 () (or @t196 @t197)) % 119.97/120.27 (define @t199 () (and @t188 @t197 @t152)) % 119.97/120.27 (define @t200 () (not @t152)) % 119.97/120.27 (define @t201 () (@list false false true false true)) % 119.97/120.27 (define @t202 () (not @t197)) % 119.97/120.27 (define @t203 () (and @t188 @t197 @t200)) % 119.97/120.27 (define @t204 () (@list false false false false false true)) % 119.97/120.27 (define @t205 () (not @t153)) % 119.97/120.27 (define @t206 () (not @t149)) % 119.97/120.27 (define @t207 () (= @t39 @t147)) % 119.97/120.27 (define @t208 () (or @t206 @t207)) % 119.97/120.27 (define @t209 () (_ @t29 @t37 @t147)) % 119.97/120.27 (define @t210 () (and @t40 @t207 @t140)) % 119.97/120.27 (define @t211 () (@list false false false)) % 119.97/120.27 (define @t212 () (@const 13 (@ho-elim-sort (-> tptp.nat tptp.nat Bool)))) % 119.97/120.27 (define @t213 () (tptp.lessis @t14 @t7)) % 119.97/120.27 (define @t214 () (tptp.moreis @t7 @t14)) % 119.97/120.27 (define @t215 () (not @t23)) % 119.97/120.27 (define @t216 () (or @t215 @t22)) % 119.97/120.27 (define @t217 () (_ @t72 (_ @t44 @t212 tptp.y) tptp.z)) % 119.97/120.27 (define @t218 () (_ @t72 (_ @t44 @t71 tptp.z) tptp.y)) % 119.97/120.27 (define @t219 () (not @t217)) % 119.97/120.27 (define @t220 () (or @t219 @t218)) % 119.97/120.27 (define @t221 () (not @t209)) % 119.97/120.27 (define @t222 () (not @t218)) % 119.97/120.27 (define @t223 () (or @t222 @t221 @t64)) % 119.97/120.27 (define @t224 () (@const 14 (@ho-elim-sort (-> tptp.nat Bool)))) % 119.97/120.27 (define @t225 () (forall @t146 (= @t148 (_ @t72 @t45 @t145)))) % 119.97/120.27 (define @t226 () (@quantifiers_skolemize @t225 0)) % 119.97/120.27 (define @t227 () (_ @t72 @t45 @t226)) % 119.97/120.27 (define @t228 () (_ @t72 @t39 @t226)) % 119.97/120.27 (define @t229 () (= @t228 @t227)) % 119.97/120.27 (define @t230 () (@var "BOUND_VARIABLE_7528" tptp.nat)) % 119.97/120.27 (define @t231 () (@var "BOUND_VARIABLE_7527" tptp.nat)) % 119.97/120.27 (define @t232 () (@var "BOUND_VARIABLE_7526" tptp.nat)) % 119.97/120.27 (define @t233 () (_ @t72 (_ @t44 (_ @t42 @t157 @t232) @t231) @t230)) % 119.97/120.27 (define @t234 () (_ @t72 (_ @t44 (_ @t42 @t41 @t232) @t231) @t230)) % 119.97/120.27 (define @t235 () (@list @t232 @t231 @t230)) % 119.97/120.27 (define @t236 () (forall @t235 (= @t233 @t234))) % 119.97/120.27 (define @t237 () (forall @t235 (= (tptp.diffprop @t232 @t231 @t230) (_ @t73 @t232 @t231 @t230)))) % 119.97/120.27 (define @t238 () (_ @t72 @t164 @t226)) % 119.97/120.27 (define @t239 () (= @t227 @t238)) % 119.97/120.27 (define @t240 () (not @t239)) % 119.97/120.27 (define @t241 () (not @t238)) % 119.97/120.27 (define @t242 () (and @t188 @t197 @t228)) % 119.97/120.27 (define @t243 () (not @t228)) % 119.97/120.27 (define @t244 () (and @t188 @t197 @t243)) % 119.97/120.27 (define @t245 () (not @t229)) % 119.97/120.27 (define @t246 () (not @t225)) % 119.97/120.27 (define @t247 () (= @t39 @t45)) % 119.97/120.27 (define @t248 () (or @t246 @t247)) % 119.97/120.27 (define @t249 () (_ @t29 @t37 @t224)) % 119.97/120.27 (define @t250 () (not @t249)) % 119.97/120.27 (define @t251 () (@const 15 (-> tptp.nat Bool))) % 119.97/120.27 (define @t252 () (not (_ tptp.some @t251))) % 119.97/120.27 (define @t253 () (= @t39 @t224)) % 119.97/120.27 (define @t254 () (not @t253)) % 119.97/120.27 (define @t255 () (and @t40 @t253 @t250)) % 119.97/120.27 (define @t256 () (@list true false)) % 119.97/120.27 (define @t257 () (= @t224 @t45)) % 119.97/120.27 (define @t258 () (not @t257)) % 119.97/120.27 (define @t259 () (not @t247)) % 119.97/120.27 (define @t260 () (= @t45 @t224)) % 119.97/120.27 (define @t261 () (and @t254 @t247)) % 119.97/120.27 (define @t262 () (ite @t257 @t40 @t249)) % 119.97/120.27 (define @t263 () (not @t262)) % 119.97/120.27 (define @t264 () (_ @t29 @t57 @t224)) % 119.97/120.27 (define @t265 () (= @t262 @t264)) % 119.97/120.27 (define @t266 () (not @t264)) % 119.97/120.27 (define @t267 () (_ @t72 @t224 @t145)) % 119.97/120.27 (define @t268 () (forall @t146 (= @t267 (_ @t72 @t63 @t145)))) % 119.97/120.27 (define @t269 () (@quantifiers_skolemize @t268 0)) % 119.97/120.27 (define @t270 () (_ @t72 @t63 @t269)) % 119.97/120.27 (define @t271 () (_ @t72 @t224 @t269)) % 119.97/120.27 (define @t272 () (= @t271 @t270)) % 119.97/120.27 (define @t273 () (_ @t44 @t163 tptp.z)) % 119.97/120.27 (define @t274 () (_ @t72 @t273 @t269)) % 119.97/120.27 (define @t275 () (= @t270 @t274)) % 119.97/120.27 (define @t276 () (not @t275)) % 119.97/120.27 (define @t277 () (not @t274)) % 119.97/120.27 (define @t278 () (@purify @t273)) % 119.97/120.27 (define @t279 () (forall @t146 (= @t267 (_ @t72 @t278 @t145)))) % 119.97/120.27 (define @t280 () (@quantifiers_skolemize @t279 0)) % 119.97/120.27 (define @t281 () (_ @t72 @t278 @t280)) % 119.97/120.27 (define @t282 () (_ @t72 @t224 @t280)) % 119.97/120.27 (define @t283 () (= @t282 @t281)) % 119.97/120.27 (define @t284 () (@var "BOUND_VARIABLE_7542" tptp.nat)) % 119.97/120.27 (define @t285 () (_ @t72 @t224 @t284)) % 119.97/120.27 (define @t286 () (_ @t72 @t273 @t284)) % 119.97/120.27 (define @t287 () (@list @t284)) % 119.97/120.27 (define @t288 () (forall @t287 (= @t285 @t286))) % 119.97/120.27 (define @t289 () (forall @t287 (= (_ @t251 @t284) (tptp.diffprop tptp.x tptp.z @t284)))) % 119.97/120.27 (define @t290 () (_ @t72 @t273 @t280)) % 119.97/120.27 (define @t291 () (forall @t287 (= @t286 @t285))) % 119.97/120.27 (define @t292 () (= @t290 @t282)) % 119.97/120.27 (define @t293 () (= @t282 @t290)) % 119.97/120.27 (define @t294 () (not @t293)) % 119.97/120.27 (define @t295 () (not @t282)) % 119.97/120.27 (define @t296 () (not @t290)) % 119.97/120.27 (define @t297 () (= @t273 @t278)) % 119.97/120.27 (define @t298 () (not @t297)) % 119.97/120.27 (define @t299 () (not @t281)) % 119.97/120.27 (define @t300 () (and @t297 @t299)) % 119.97/120.27 (define @t301 () (and @t297 @t281)) % 119.97/120.27 (define @t302 () (not @t283)) % 119.97/120.27 (define @t303 () (not @t279)) % 119.97/120.27 (define @t304 () (= @t224 @t278)) % 119.97/120.27 (define @t305 () (or @t303 @t304)) % 119.97/120.27 (define @t306 () (and @t297 @t304 @t271)) % 119.97/120.27 (define @t307 () (not @t271)) % 119.97/120.27 (define @t308 () (not @t304)) % 119.97/120.27 (define @t309 () (and @t297 @t304 @t307)) % 119.97/120.27 (define @t310 () (not @t272)) % 119.97/120.27 (define @t311 () (not @t268)) % 119.97/120.27 (define @t312 () (= @t224 @t63)) % 119.97/120.27 (define @t313 () (or @t311 @t312)) % 119.97/120.27 (define @t314 () (not @t312)) % 119.97/120.27 (define @t315 () (not @t66)) % 119.97/120.27 (define @t316 () (and @t266 @t312 @t66)) % 119.97/120.27 (assume @p1 @t4) % 119.97/120.27 (assume @p2 @t5) % 119.97/120.27 (assume @p3 @t21) % 119.97/120.27 (assume @p4 @t25) % 119.97/120.27 (assume @p5 @t26) % 119.97/120.27 (assume @p6 true) % 119.97/120.27 ; WARNING: add trust step for TRUST % 119.97/120.27 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 119.97/120.27 (step @p7 :rule trust :premises () :args (@t36)) % 119.97/120.27 (step @p8 :rule refl :args (@t38)) % 119.97/120.27 (step @p9 :rule refl :args (@t40)) % 119.97/120.27 (step @p10 :rule eq-symm :args (@t45 @t27)) % 119.97/120.27 (step @p11 :rule cong :premises (@p10 @p9 @p8) :args (@t46)) % 119.97/120.27 (step @p12 :rule refl :args (@t33)) % 119.97/120.27 (step @p13 :rule cong :premises (@p12 @p11) :args (@t47)) % 119.97/120.27 (step @p14 :rule cong :premises (@p13) :args (@t48)) % 119.97/120.27 (step @p15 :rule cong :premises (@p14) :args (@t49)) % 119.97/120.27 (step @p16 :rule cong :premises (@p15) :args (@t50)) % 119.97/120.27 (step @p17 :rule cong :premises (@p16) :args (@t51)) % 119.97/120.27 (step @p18 :rule refl :args (@t36)) % 119.97/120.27 (step @p19 :rule cong :premises (@p18 @p17) :args ((=> @t36 @t51))) % 119.97/120.27 (assume-push @p847 @t36) % 119.97/120.27 (step @p21 :rule instantiate :premises (@p7) :args ((@list @t37 @t40 @t45))) % 119.97/120.27 (step-pop @p848 :rule scope :premises (@p21)) % 119.97/120.27 (step @p22 :rule process_scope :premises (@p848) :args (@t51)) % 119.97/120.27 (step @p24 :rule eq_resolve :premises (@p22 @p19)) % 119.97/120.27 (step @p25 :rule implies_elim :premises (@p24)) % 119.97/120.27 (step @p26 :rule chain_m_resolution :premises (@p25 @p7) :args (@t54 @t55 @t56)) % 119.97/120.27 (step @p27 :rule refl :args (@t59)) % 119.97/120.27 (step @p28 :rule bool-double-not-elim :args (@t53)) % 119.97/120.27 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or (not @t54) @t59))) % 119.97/120.27 (step @p30 :rule eq-symm :args (@t58 @t52)) % 119.97/120.27 (step @p31 :rule cong :premises (@p30) :args (@t60)) % 119.97/120.27 (step @p32 :rule bool-double-not-elim :args (@t60)) % 119.97/120.27 (step @p33 :rule trans :premises (@p32 @p31)) % 119.97/120.27 (step @p34 :rule refl :args (@t54)) % 119.97/120.27 (step @p35 :rule cong :premises (@p34 @p33) :args ((=> @t54 @t61))) % 119.97/120.27 (assume-push @p849 @t54) % 119.97/120.27 (step @p37 :rule skolemize :premises (@p26)) % 119.97/120.27 (step-pop @p850 :rule scope :premises (@p37)) % 119.97/120.27 (step @p38 :rule process_scope :premises (@p850) :args (@t61)) % 119.97/120.27 (step @p40 :rule eq_resolve :premises (@p38 @p35)) % 119.97/120.27 (step @p41 :rule implies_elim :premises (@p40)) % 119.97/120.27 (step @p42 :rule eq_resolve :premises (@p41 @p29)) % 119.97/120.27 (step @p43 :rule chain_m_resolution :premises (@p42 @p26) :args (@t59 @t62 (@list @t53))) % 119.97/120.27 (step @p44 :rule eq-symm :args (@t65 @t66)) % 119.97/120.27 (step @p45 :rule refl :args (@t66)) % 119.97/120.27 (step @p46 :rule refl :args (@t64)) % 119.97/120.27 (step @p47 :rule eq-symm :args (@t63 @t45)) % 119.97/120.27 (step @p48 :rule cong :premises (@p47 @p9 @p46) :args (@t67)) % 119.97/120.27 (step @p49 :rule cong :premises (@p48 @p45) :args (@t68)) % 119.97/120.27 (step @p50 :rule trans :premises (@p49 @p44)) % 119.97/120.27 (step @p51 :rule cong :premises (@p27 @p50) :args ((=> @t59 @t68))) % 119.97/120.27 (assume-push @p851 @t59) % 119.97/120.27 (step @p53 :rule instantiate :premises (@p43) :args ((@list @t63))) % 119.97/120.27 (step-pop @p852 :rule scope :premises (@p53)) % 119.97/120.27 (step @p54 :rule process_scope :premises (@p852) :args (@t68)) % 119.97/120.27 (step @p56 :rule eq_resolve :premises (@p54 @p51)) % 119.97/120.27 (step @p57 :rule implies_elim :premises (@p56)) % 119.97/120.27 (step @p58 :rule chain_m_resolution :premises (@p57 @p43) :args (@t69 @t55 (@list @t59))) % 119.97/120.27 ; trust TRUST PREPROCESS_HO_ELIM % 119.97/120.27 (step @p59 :rule trust :premises () :args ((= @t77 (forall @t20 (or (not (_ @t72 (_ @t44 @t71 @t7) @t14)) (not (_ @t29 @t37 (_ @t44 (_ @t42 @t70 @t8) @t14))) (_ @t29 @t37 (_ @t44 (_ @t42 @t41 @t8) @t7))))))) % 119.97/120.27 ; trust TRUST PREPROCESS_HO_ELIM % 119.97/120.27 (step @p60 :rule trust :premises () :args ((= (forall @t20 (or @t76 (not @t83) @t80)) @t77))) % 119.97/120.27 (step @p61 :rule refl :args ((tptp.some @t12))) % 119.97/120.27 (step @p62 :rule refl :args (@t78)) % 119.97/120.27 (step @p63 :rule cong :premises (@p62) :args (@t79)) % 119.97/120.27 (step @p64 :rule cong :premises (@p63) :args (@t80)) % 119.97/120.27 (step @p65 :rule trans :premises (@p64 @p61)) % 119.97/120.27 (step @p66 :rule refl :args (tptp.some)) % 119.97/120.27 (step @p67 :rule ho_cong :premises (@p66 @p63)) % 119.97/120.27 (step @p68 :rule cong :premises (@p67 @p65) :args ((= (_ tptp.some @t79) @t80))) % 119.97/120.27 (step @p69 :rule symm :premises (@p68)) % 119.97/120.27 (step @p70 :rule refl :args (@t13)) % 119.97/120.27 (step @p71 :rule eq_resolve :premises (@p70 @p69)) % 119.97/120.27 (step @p72 :rule refl :args (@t10)) % 119.97/120.27 (step @p73 :rule cong :premises (@p72 @p62) :args ((= @t10 @t78))) % 119.97/120.27 (step @p74 :rule symm :premises (@p73)) % 119.97/120.27 (step @p75 :rule eq_resolve :premises (@p72 @p74)) % 119.97/120.27 (step @p76 :rule cong :premises (@p75) :args (@t12)) % 119.97/120.27 (step @p77 :rule ho_cong :premises (@p66 @p76)) % 119.97/120.27 (step @p78 :rule trans :premises (@p77 @p71)) % 119.97/120.27 (step @p79 :rule refl :args ((tptp.some @t16))) % 119.97/120.27 (step @p80 :rule refl :args (@t81)) % 119.97/120.27 (step @p81 :rule cong :premises (@p80) :args (@t82)) % 119.97/120.27 (step @p82 :rule cong :premises (@p81) :args (@t83)) % 119.97/120.27 (step @p83 :rule trans :premises (@p82 @p79)) % 119.97/120.27 (step @p84 :rule ho_cong :premises (@p66 @p81)) % 119.97/120.27 (step @p85 :rule cong :premises (@p84 @p83) :args ((= (_ tptp.some @t82) @t83))) % 119.97/120.27 (step @p86 :rule symm :premises (@p85)) % 119.97/120.27 (step @p87 :rule refl :args (@t17)) % 119.97/120.27 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 119.97/120.27 (step @p89 :rule refl :args (@t15)) % 119.97/120.27 (step @p90 :rule cong :premises (@p89 @p80) :args ((= @t15 @t81))) % 119.97/120.27 (step @p91 :rule symm :premises (@p90)) % 119.97/120.27 (step @p92 :rule eq_resolve :premises (@p89 @p91)) % 119.97/120.27 (step @p93 :rule cong :premises (@p92) :args (@t16)) % 119.97/120.27 (step @p94 :rule ho_cong :premises (@p66 @p93)) % 119.97/120.27 (step @p95 :rule trans :premises (@p94 @p88)) % 119.97/120.27 (step @p96 :rule cong :premises (@p95) :args (@t84)) % 119.97/120.27 (step @p97 :rule refl :args (@t75)) % 119.97/120.27 (step @p98 :rule refl :args (@t19)) % 119.97/120.27 (step @p99 :rule cong :premises (@p98 @p97) :args ((= @t19 @t75))) % 119.97/120.27 (step @p100 :rule symm :premises (@p99)) % 119.97/120.27 (step @p101 :rule eq_resolve :premises (@p98 @p100)) % 119.97/120.27 (step @p102 :rule cong :premises (@p101) :args (@t85)) % 119.97/120.27 (step @p103 :rule nary_cong :premises (@p102 @p96 @p78) :args (@t86)) % 119.97/120.27 (step @p104 :rule cong :premises (@p103) :args ((forall @t20 @t86))) % 119.97/120.27 (step @p105 :rule aci_norm :args ((= (or @t85 (or @t84 @t13)) @t86))) % 119.97/120.27 (step @p106 :rule bool-impl-elim :args (@t17 @t13)) % 119.97/120.27 (step @p107 :rule refl :args (@t85)) % 119.97/120.27 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or @t85 @t18))) % 119.97/120.27 (step @p109 :rule trans :premises (@p108 @p105)) % 119.97/120.27 (step @p110 :rule bool-impl-elim :args (@t19 @t18)) % 119.97/120.27 (step @p111 :rule trans :premises (@p110 @p109)) % 119.97/120.27 (step @p112 :rule cong :premises (@p111) :args (@t21)) % 119.97/120.27 (step @p113 :rule trans :premises (@p112 @p104)) % 119.97/120.27 (step @p114 :rule trans :premises (@p113 @p60 @p59)) % 119.97/120.27 (step @p115 :rule eq_resolve :premises (@p3 @p114)) % 119.97/120.27 (step @p116 :rule instantiate :premises (@p115) :args ((@list tptp.z tptp.y tptp.x))) % 119.97/120.27 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 119.97/120.27 (step @p117 :rule trust :premises () :args ((forall (@list @t88 @t87) (or (not (forall @t90 (= (_ @t29 @t88 @t89) (_ @t29 @t87 @t89)))) (= @t88 @t87))))) % 119.97/120.27 (step @p118 :rule instantiate :premises (@p117) :args ((@list @t37 @t98))) % 119.97/120.27 (step @p119 :rule cnf_equiv_neg2 :args (@t103)) % 119.97/120.27 (step @p120 :rule instantiate :premises (@p7) :args ((@list @t94 @t40 @t39))) % 119.97/120.27 (step @p121 :rule refl :args (@t105)) % 119.97/120.27 (step @p122 :rule bool-double-not-elim :args (@t97)) % 119.97/120.27 (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((or (not @t106) @t105))) % 119.97/120.27 (step @p124 :rule eq-symm :args (@t104 @t96)) % 119.97/120.27 (step @p125 :rule cong :premises (@p124) :args (@t107)) % 119.97/120.27 (step @p126 :rule bool-double-not-elim :args (@t107)) % 119.97/120.27 (step @p127 :rule trans :premises (@p126 @p125)) % 119.97/120.27 (step @p128 :rule refl :args (@t106)) % 119.97/120.27 (step @p129 :rule cong :premises (@p128 @p127) :args ((=> @t106 @t108))) % 119.97/120.27 (assume-push @p853 @t106) % 119.97/120.27 (step @p131 :rule skolemize :premises (@p120)) % 119.97/120.27 (step-pop @p854 :rule scope :premises (@p131)) % 119.97/120.27 (step @p132 :rule process_scope :premises (@p854) :args (@t108)) % 119.97/120.27 (step @p134 :rule eq_resolve :premises (@p132 @p129)) % 119.97/120.27 (step @p135 :rule implies_elim :premises (@p134)) % 119.97/120.27 (step @p136 :rule eq_resolve :premises (@p135 @p123)) % 119.97/120.27 (step @p137 :rule chain_m_resolution :premises (@p136 @p120) :args (@t105 @t62 (@list @t97))) % 119.97/120.27 (step @p138 :rule eq-symm :args (@t111 @t101)) % 119.97/120.27 (step @p139 :rule cong :premises (@p121 @p138) :args ((=> @t105 @t112))) % 119.97/120.27 (assume-push @p855 @t105) % 119.97/120.27 (step @p141 :rule instantiate :premises (@p137) :args (@t113)) % 119.97/120.27 (step-pop @p856 :rule scope :premises (@p141)) % 119.97/120.27 (step @p142 :rule process_scope :premises (@p856) :args (@t112)) % 119.97/120.27 (step @p144 :rule eq_resolve :premises (@p142 @p139)) % 119.97/120.27 (step @p145 :rule implies_elim :premises (@p144)) % 119.97/120.27 (step @p146 :rule chain_m_resolution :premises (@p145 @p137) :args (@t114 @t55 (@list @t105))) % 119.97/120.27 (step @p147 :rule cnf_equiv_pos2 :args (@t114)) % 119.97/120.27 (step @p148 :rule reordering :premises (@p147) :args ((or @t101 @t116 @t115))) % 119.97/120.27 ; trust TRUST PREPROCESS_HO_ELIM % 119.97/120.27 (step @p149 :rule trust :premises () :args ((= @t118 @t40))) % 119.97/120.27 ; trust TRUST PREPROCESS_HO_ELIM % 119.97/120.27 (step @p150 :rule trust :premises () :args ((= @t4 @t118))) % 119.97/120.27 (step @p151 :rule trans :premises (@p150 @p149)) % 119.97/120.27 (step @p152 :rule eq_resolve :premises (@p1 @p151)) % 119.97/120.27 (step @p153 :rule cnf_ite_neg3 :args (@t111)) % 119.97/120.27 (step @p154 :rule reordering :premises (@p153) :args ((or @t120 @t111 @t119))) % 119.97/120.27 (step @p155 :rule cnf_ite_neg1 :args (@t111)) % 119.97/120.27 (step @p156 :rule reordering :premises (@p155) :args ((or @t120 @t121 @t111))) % 119.97/120.27 (step @p157 :rule ite-then-false :args (@t91 @t38)) % 119.97/120.27 (step @p158 :rule cong :premises (@p12 @p157) :args (@t122)) % 119.97/120.27 (step @p159 :rule cong :premises (@p158) :args (@t123)) % 119.97/120.27 (step @p160 :rule cong :premises (@p159) :args (@t124)) % 119.97/120.27 (step @p161 :rule cong :premises (@p160) :args (@t125)) % 119.97/120.27 (step @p162 :rule cong :premises (@p161) :args (@t126)) % 119.97/120.27 (step @p163 :rule cong :premises (@p18 @p162) :args ((=> @t36 @t126))) % 119.97/120.27 (assume-push @p857 @t36) % 119.97/120.27 (step @p165 :rule instantiate :premises (@p7) :args ((@list @t37 false @t39))) % 119.97/120.27 (step-pop @p858 :rule scope :premises (@p165)) % 119.97/120.27 (step @p166 :rule process_scope :premises (@p858) :args (@t126)) % 119.97/120.27 (step @p168 :rule eq_resolve :premises (@p166 @p163)) % 119.97/120.27 (step @p169 :rule implies_elim :premises (@p168)) % 119.97/120.27 (step @p170 :rule chain_m_resolution :premises (@p169 @p7) :args (@t127 @t55 @t56)) % 119.97/120.27 (step @p171 :rule refl :args (@t128)) % 119.97/120.27 (step @p172 :rule bool-double-not-elim :args (@t93)) % 119.97/120.27 (step @p173 :rule nary_cong :premises (@p172 @p171) :args ((or (not @t127) @t128))) % 119.97/120.27 (step @p174 :rule eq-symm :args (@t95 @t92)) % 119.97/120.27 (step @p175 :rule cong :premises (@p174) :args (@t129)) % 119.97/120.27 (step @p176 :rule bool-double-not-elim :args (@t129)) % 119.97/120.27 (step @p177 :rule trans :premises (@p176 @p175)) % 119.97/120.27 (step @p178 :rule refl :args (@t127)) % 119.97/120.27 (step @p179 :rule cong :premises (@p178 @p177) :args ((=> @t127 @t130))) % 119.97/120.27 (assume-push @p859 @t127) % 119.97/120.27 (step @p181 :rule skolemize :premises (@p170)) % 119.97/120.27 (step-pop @p860 :rule scope :premises (@p181)) % 119.97/120.27 (step @p182 :rule process_scope :premises (@p860) :args (@t130)) % 119.97/120.27 (step @p184 :rule eq_resolve :premises (@p182 @p179)) % 119.97/120.27 (step @p185 :rule implies_elim :premises (@p184)) % 119.97/120.27 (step @p186 :rule eq_resolve :premises (@p185 @p173)) % 119.97/120.27 (step @p187 :rule chain_m_resolution :premises (@p186 @p170) :args (@t128 @t62 (@list @t93))) % 119.97/120.27 (step @p188 :rule instantiate :premises (@p187) :args (@t113)) % 119.97/120.27 (step @p189 :rule cnf_equiv_pos1 :args (@t132)) % 119.97/120.27 (step @p190 :rule reordering :premises (@p189) :args ((or @t109 @t134 @t133))) % 119.97/120.27 (step @p191 :rule refl :args (@t135)) % 119.97/120.27 (step @p192 :rule bool-double-not-elim :args (@t110)) % 119.97/120.27 (step @p193 :rule refl :args (@t131)) % 119.97/120.27 (step @p194 :rule nary_cong :premises (@p193 @p192 @p191) :args ((or @t131 (not @t121) @t135))) % 119.97/120.27 (step @p195 :rule cnf_and_neg :args (@t131)) % 119.97/120.27 (step @p196 :rule eq_resolve :premises (@p195 @p194)) % 119.97/120.27 (step @p197 :rule reordering :premises (@p196) :args ((or @t135 @t110 @t131))) % 119.97/120.27 (step @p198 :rule chain_m_resolution :premises (@p197 @p190 @p188 @p156 @p152 @p154 @p152 @p148 @p146 @p119) :args ((or @t103 @t135) (@list true false true false true false true false true) (@list @t131 @t132 @t110 @t40 @t109 @t40 @t111 @t114 @t101))) % 119.97/120.27 (step @p199 :rule cnf_equiv_neg1 :args (@t103)) % 119.97/120.27 (step @p200 :rule reordering :premises (@p199) :args ((or @t102 @t101 @t103))) % 119.97/120.27 (step @p201 :rule cnf_and_pos :args (@t131 1)) % 119.97/120.27 (step @p202 :rule reordering :premises (@p201) :args ((or @t102 @t134))) % 119.97/120.27 (step @p203 :rule cnf_equiv_pos1 :args (@t114)) % 119.97/120.27 (step @p204 :rule reordering :premises (@p203) :args ((or (not @t101) @t111 @t115))) % 119.97/120.27 (step @p205 :rule cnf_equiv_pos2 :args (@t132)) % 119.97/120.27 (step @p206 :rule reordering :premises (@p205) :args ((or @t131 @t119 @t133))) % 119.97/120.27 (step @p207 :rule cnf_ite_pos2 :args (@t111)) % 119.97/120.27 (step @p208 :rule reordering :premises (@p207) :args ((or @t110 @t109 @t116))) % 119.97/120.27 (step @p209 :rule refl :args (@t121)) % 119.97/120.27 (step @p210 :rule bool-double-not-elim :args (@t102)) % 119.97/120.27 (step @p211 :rule refl :args (@t120)) % 119.97/120.27 (step @p212 :rule nary_cong :premises (@p211 @p210 @p209) :args ((or @t120 (not @t135) @t121))) % 119.97/120.27 (assume-push @p861 @t40) % 119.97/120.27 (assume-push @p862 @t110) % 119.97/120.27 (assume-push @p863 @t135) % 119.97/120.27 (step @p216 :rule evaluate :args (@t136)) % 119.97/120.27 (step @p217 :rule true_intro :premises (@p152)) % 119.97/120.27 (step @p218 :rule symm :premises (@p862)) % 119.97/120.27 (step @p219 :rule refl :args (@t37)) % 119.97/120.27 (step @p220 :rule cong :premises (@p219 @p218) :args (@t102)) % 119.97/120.27 (step @p221 :rule false_intro :premises (@p863)) % 119.97/120.27 (step @p222 :rule symm :premises (@p221)) % 119.97/120.27 (step @p223 :rule trans :premises (@p222 @p220 @p217)) % 119.97/120.27 (step @p224 false :rule eq_resolve :premises (@p223 @p216)) % 119.97/120.27 (step-pop @p864 :rule scope :premises (@p224)) % 119.97/120.27 (step-pop @p865 :rule scope :premises (@p864)) % 119.97/120.27 (step-pop @p866 :rule scope :premises (@p865)) % 119.97/120.27 (step @p225 :rule process_scope :premises (@p866) :args (false)) % 119.97/120.27 (assume-push @p867 @t40) % 119.97/120.27 (assume-push @p868 @t135) % 119.97/120.27 (assume-push @p869 @t110) % 119.97/120.27 (step @p232 :rule and_intro :premises (@p152 @p869 @p868)) % 119.97/120.27 (step-pop @p870 :rule scope :premises (@p232)) % 119.97/120.27 (step-pop @p871 :rule scope :premises (@p870)) % 119.97/120.27 (step-pop @p872 :rule scope :premises (@p871)) % 119.97/120.27 (step @p233 :rule process_scope :premises (@p872) :args (@t137)) % 119.97/120.27 (step @p237 :rule implies_elim :premises (@p233)) % 119.97/120.27 (step @p238 :rule resolution :premises (@p237 @p225) :args (true @t137)) % 119.97/120.27 (step @p239 :rule not_and :premises (@p238)) % 119.97/120.27 (step @p240 :rule eq_resolve :premises (@p239 @p212)) % 119.97/120.27 (step @p241 :rule chain_m_resolution :premises (@p240 @p152 @p208 @p206 @p188 @p204 @p146 @p202 @p200 @p198) :args (@t103 (@list false false true false false false true false true) (@list @t40 @t110 @t109 @t132 @t111 @t114 @t131 @t101 @t102))) % 119.97/120.27 (step @p242 :rule refl :args (@t138)) % 119.97/120.27 (step @p243 :rule bool-double-not-elim :args (@t99)) % 119.97/120.27 (step @p244 :rule nary_cong :premises (@p243 @p242) :args ((or (not @t139) @t138))) % 119.97/120.27 (assume-push @p873 @t139) % 119.97/120.27 (step @p246 :rule skolemize :premises (@p873)) % 119.97/120.27 (step-pop @p874 :rule scope :premises (@p246)) % 119.97/120.27 (step @p247 :rule process_scope :premises (@p874) :args (@t138)) % 119.97/120.27 (step @p249 :rule implies_elim :premises (@p247)) % 119.97/120.27 (step @p250 :rule eq_resolve :premises (@p249 @p244)) % 119.97/120.27 (step @p251 :rule chain_m_resolution :premises (@p250 @p241) :args (@t99 @t55 (@list @t103))) % 119.97/120.27 (step @p252 :rule cnf_or_pos :args (@t141)) % 119.97/120.27 (step @p253 :rule reordering :premises (@p252) :args ((or @t139 @t140 (not @t141)))) % 119.97/120.27 (step @p254 :rule chain_m_resolution :premises (@p253 @p251 @p118) :args (@t140 @t142 (@list @t99 @t141))) % 119.97/120.27 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 119.97/120.27 (step @p255 :rule trust :premises () :args ((forall (@list @t144 @t143) (or (not (forall @t146 (= (_ @t72 @t144 @t145) (_ @t72 @t143 @t145)))) (= @t144 @t143))))) % 119.97/120.27 (step @p256 :rule instantiate :premises (@p255) :args ((@list @t39 @t147))) % 119.97/120.27 (step @p257 :rule cnf_equiv_neg2 :args (@t153)) % 119.97/120.27 (step @p258 :rule eq-symm :args (@t158 @t159)) % 119.97/120.27 (step @p259 :rule cong :premises (@p258) :args (@t161)) % 119.97/120.27 ; trust TRUST PREPROCESS_HO_ELIM % 119.97/120.27 (step @p260 :rule trust :premises () :args ((= @t162 @t161))) % 119.97/120.27 (step @p261 :rule trans :premises (@p260 @p259)) % 119.97/120.27 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 119.97/120.27 (step @p262 :rule trust :premises () :args (@t162)) % 119.97/120.27 (step @p263 :rule eq_resolve :premises (@p262 @p261)) % 119.97/120.27 (step @p264 :rule instantiate :premises (@p263) :args ((@list tptp.x tptp.y @t150))) % 119.97/120.27 (step @p265 :rule cnf_equiv_pos2 :args (@t166)) % 119.97/120.27 (step @p266 :rule reordering :premises (@p265) :args ((or @t151 @t168 @t167))) % 119.97/120.27 (step @p267 :rule skolem_intro :args (@t169)) % 119.97/120.27 (step @p268 :rule symm :premises (@p267)) % 119.97/120.27 (step @p269 :rule instantiate :premises (@p255) :args ((@list @t39 @t169))) % 119.97/120.27 (step @p270 :rule cnf_equiv_neg2 :args (@t174)) % 119.97/120.27 (step @p271 :rule eq-symm :args (@t176 @t177)) % 119.97/120.27 (step @p272 :rule cong :premises (@p271) :args (@t179)) % 119.97/120.27 ; trust TRUST PREPROCESS_HO_ELIM % 119.97/120.27 (step @p273 :rule trust :premises () :args ((= @t180 @t179))) % 119.97/120.27 (step @p274 :rule trans :premises (@p273 @p272)) % 119.97/120.27 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 119.97/120.27 (step @p275 :rule trust :premises () :args (@t180)) % 119.97/120.27 (step @p276 :rule eq_resolve :premises (@p275 @p274)) % 119.97/120.27 (step @p277 :rule eq-symm :args (@t181 @t173)) % 119.97/120.27 (step @p278 :rule refl :args (@t182)) % 119.97/120.27 (step @p279 :rule cong :premises (@p278 @p277) :args ((=> @t182 @t183))) % 119.97/120.27 (assume-push @p875 @t182) % 119.97/120.27 (step @p281 :rule instantiate :premises (@p276) :args ((@list @t171))) % 119.97/120.27 (step-pop @p876 :rule scope :premises (@p281)) % 119.97/120.27 (step @p282 :rule process_scope :premises (@p876) :args (@t183)) % 119.97/120.27 (step @p284 :rule eq_resolve :premises (@p282 @p279)) % 119.97/120.27 (step @p285 :rule implies_elim :premises (@p284)) % 119.97/120.27 (step @p286 :rule chain_m_resolution :premises (@p285 @p276) :args (@t184 @t55 (@list @t182))) % 119.97/120.27 (step @p287 :rule cnf_equiv_pos1 :args (@t184)) % 119.97/120.27 (step @p288 :rule reordering :premises (@p287) :args ((or @t186 @t181 @t185))) % 119.97/120.27 (step @p289 :rule refl :args (@t187)) % 119.97/120.27 (step @p290 :rule bool-double-not-elim :args (@t172)) % 119.97/120.27 (step @p291 :rule refl :args (@t189)) % 119.97/120.27 (step @p292 :rule nary_cong :premises (@p291 @p290 @p289) :args ((or @t189 (not @t190) @t187))) % 119.97/120.27 (assume-push @p877 @t188) % 119.97/120.27 (assume-push @p878 @t190) % 119.97/120.27 (assume-push @p879 @t190) % 119.97/120.27 (assume-push @p880 @t188) % 119.97/120.27 (step @p297 :rule false_intro :premises (@p878)) % 119.97/120.27 (step @p298 :rule refl :args (@t171)) % 119.97/120.27 (step @p299 :rule cong :premises (@p268 @p298) :args (@t181)) % 119.97/120.27 (step @p300 :rule trans :premises (@p299 @p297)) % 119.97/120.27 (step @p301 :rule false_elim :premises (@p300)) % 119.97/120.27 (step-pop @p881 :rule scope :premises (@p301)) % 119.97/120.27 (step-pop @p882 :rule scope :premises (@p881)) % 119.97/120.27 (step @p302 :rule process_scope :premises (@p882) :args (@t187)) % 119.97/120.27 (step @p305 :rule and_intro :premises (@p878 @p268)) % 119.97/120.27 (step @p306 :rule modus_ponens :premises (@p305 @p302)) % 119.97/120.27 (step-pop @p883 :rule scope :premises (@p306)) % 119.97/120.27 (step-pop @p884 :rule scope :premises (@p883)) % 119.97/120.27 (step @p307 :rule process_scope :premises (@p884) :args (@t187)) % 119.97/120.27 (step @p310 :rule implies_elim :premises (@p307)) % 119.97/120.27 (step @p311 :rule cnf_and_neg :args (@t191)) % 119.97/120.27 (step @p312 :rule resolution :premises (@p311 @p310) :args (true @t191)) % 119.97/120.27 (step @p313 :rule eq_resolve :premises (@p312 @p292)) % 119.97/120.27 (step @p314 :rule chain_m_resolution :premises (@p313 @p268 @p288 @p286 @p270) :args ((or @t174 @t186) @t192 (@list @t188 @t181 @t184 @t172))) % 119.97/120.27 (step @p315 :rule cnf_equiv_neg1 :args (@t174)) % 119.97/120.27 (step @p316 :rule reordering :premises (@p315) :args ((or @t173 @t172 @t174))) % 119.97/120.27 (step @p317 :rule cnf_equiv_pos2 :args (@t184)) % 119.97/120.27 (step @p318 :rule reordering :premises (@p317) :args ((or @t173 @t187 @t185))) % 119.97/120.27 (assume-push @p885 @t188) % 119.97/120.27 (assume-push @p886 @t172) % 119.97/120.27 (assume-push @p887 @t172) % 119.97/120.27 (assume-push @p888 @t188) % 119.97/120.27 (step @p323 :rule true_intro :premises (@p886)) % 119.97/120.27 (step @p298 :rule refl :args (@t171)) % 119.97/120.27 (step @p299 :rule cong :premises (@p268 @p298) :args (@t181)) % 119.97/120.27 (step @p324 :rule trans :premises (@p299 @p323)) % 119.97/120.27 (step @p325 :rule true_elim :premises (@p324)) % 119.97/120.27 (step-pop @p889 :rule scope :premises (@p325)) % 119.97/120.27 (step-pop @p890 :rule scope :premises (@p889)) % 119.97/120.27 (step @p326 :rule process_scope :premises (@p890) :args (@t181)) % 119.97/120.27 (step @p329 :rule and_intro :premises (@p886 @p268)) % 119.97/120.27 (step @p330 :rule modus_ponens :premises (@p329 @p326)) % 119.97/120.27 (step-pop @p891 :rule scope :premises (@p330)) % 119.97/120.27 (step-pop @p892 :rule scope :premises (@p891)) % 119.97/120.27 (step @p331 :rule process_scope :premises (@p892) :args (@t181)) % 119.97/120.27 (step @p334 :rule implies_elim :premises (@p331)) % 119.97/120.27 (step @p335 :rule cnf_and_neg :args (@t193)) % 119.97/120.27 (step @p336 :rule resolution :premises (@p335 @p334) :args (true @t193)) % 119.97/120.27 (step @p337 :rule chain_m_resolution :premises (@p336 @p268 @p318 @p286 @p316 @p314) :args (@t174 @t194 (@list @t188 @t181 @t184 @t172 @t173))) % 119.97/120.27 (step @p338 :rule refl :args (@t195)) % 119.97/120.27 (step @p339 :rule bool-double-not-elim :args (@t170)) % 119.97/120.27 (step @p340 :rule nary_cong :premises (@p339 @p338) :args ((or (not @t196) @t195))) % 119.97/120.27 (assume-push @p893 @t196) % 119.97/120.27 (step @p342 :rule skolemize :premises (@p893)) % 119.97/120.27 (step-pop @p894 :rule scope :premises (@p342)) % 119.97/120.27 (step @p343 :rule process_scope :premises (@p894) :args (@t195)) % 119.97/120.27 (step @p345 :rule implies_elim :premises (@p343)) % 119.97/120.27 (step @p346 :rule eq_resolve :premises (@p345 @p340)) % 119.97/120.27 (step @p347 :rule chain_m_resolution :premises (@p346 @p337) :args (@t170 @t55 (@list @t174))) % 119.97/120.27 (step @p348 :rule cnf_or_pos :args (@t198)) % 119.97/120.27 (step @p349 :rule reordering :premises (@p348) :args ((or @t196 @t197 (not @t198)))) % 119.97/120.27 (step @p350 :rule chain_m_resolution :premises (@p349 @p347 @p269) :args (@t197 @t142 (@list @t170 @t198))) % 119.97/120.27 (assume-push @p895 @t188) % 119.97/120.27 (assume-push @p896 @t197) % 119.97/120.27 (assume-push @p897 @t152) % 119.97/120.27 (assume-push @p898 @t152) % 119.97/120.27 (assume-push @p899 @t197) % 119.97/120.27 (assume-push @p900 @t188) % 119.97/120.27 (step @p357 :rule true_intro :premises (@p897)) % 119.97/120.27 (step @p358 :rule refl :args (@t150)) % 119.97/120.27 (step @p359 :rule symm :premises (@p896)) % 119.97/120.27 (step @p360 :rule trans :premises (@p268 @p359)) % 119.97/120.27 (step @p361 :rule cong :premises (@p360 @p358) :args (@t165)) % 119.97/120.27 (step @p362 :rule trans :premises (@p361 @p357)) % 119.97/120.27 (step @p363 :rule true_elim :premises (@p362)) % 119.97/120.27 (step-pop @p901 :rule scope :premises (@p363)) % 119.97/120.27 (step-pop @p902 :rule scope :premises (@p901)) % 119.97/120.27 (step-pop @p903 :rule scope :premises (@p902)) % 119.97/120.27 (step @p364 :rule process_scope :premises (@p903) :args (@t165)) % 119.97/120.27 (step @p368 :rule and_intro :premises (@p897 @p896 @p268)) % 119.97/120.27 (step @p369 :rule modus_ponens :premises (@p368 @p364)) % 119.97/120.27 (step-pop @p904 :rule scope :premises (@p369)) % 119.97/120.27 (step-pop @p905 :rule scope :premises (@p904)) % 119.97/120.27 (step-pop @p906 :rule scope :premises (@p905)) % 119.97/120.27 (step @p370 :rule process_scope :premises (@p906) :args (@t165)) % 119.97/120.27 (step @p374 :rule implies_elim :premises (@p370)) % 119.97/120.27 (step @p375 :rule cnf_and_neg :args (@t199)) % 119.97/120.27 (step @p376 :rule resolution :premises (@p375 @p374) :args (true @t199)) % 119.97/120.27 (step @p377 :rule chain_m_resolution :premises (@p376 @p350 @p268 @p266 @p264 @p257) :args ((or @t153 @t200) @t201 (@list @t197 @t188 @t165 @t166 @t151))) % 119.97/120.27 (step @p378 :rule cnf_equiv_neg1 :args (@t153)) % 119.97/120.27 (step @p379 :rule reordering :premises (@p378) :args ((or @t152 @t151 @t153))) % 119.97/120.27 (step @p380 :rule cnf_equiv_pos1 :args (@t166)) % 119.97/120.27 (step @p381 :rule reordering :premises (@p380) :args ((or (not @t151) @t165 @t167))) % 119.97/120.27 (step @p382 :rule refl :args (@t168)) % 119.97/120.27 (step @p383 :rule bool-double-not-elim :args (@t152)) % 119.97/120.27 (step @p384 :rule refl :args (@t202)) % 119.97/120.27 (step @p385 :rule nary_cong :premises (@p291 @p384 @p383 @p382) :args ((or @t189 @t202 (not @t200) @t168))) % 119.97/120.27 (assume-push @p907 @t188) % 119.97/120.27 (assume-push @p908 @t197) % 119.97/120.27 (assume-push @p909 @t200) % 119.97/120.27 (assume-push @p910 @t200) % 119.97/120.27 (assume-push @p911 @t197) % 119.97/120.27 (assume-push @p912 @t188) % 119.97/120.27 (step @p392 :rule false_intro :premises (@p909)) % 119.97/120.27 (step @p358 :rule refl :args (@t150)) % 119.97/120.27 (step @p393 :rule symm :premises (@p908)) % 119.97/120.27 (step @p394 :rule trans :premises (@p268 @p393)) % 119.97/120.27 (step @p395 :rule cong :premises (@p394 @p358) :args (@t165)) % 119.97/120.27 (step @p396 :rule trans :premises (@p395 @p392)) % 119.97/120.27 (step @p397 :rule false_elim :premises (@p396)) % 119.97/120.27 (step-pop @p913 :rule scope :premises (@p397)) % 119.97/120.27 (step-pop @p914 :rule scope :premises (@p913)) % 119.97/120.27 (step-pop @p915 :rule scope :premises (@p914)) % 119.97/120.27 (step @p398 :rule process_scope :premises (@p915) :args (@t168)) % 119.97/120.27 (step @p402 :rule and_intro :premises (@p909 @p908 @p268)) % 119.97/120.27 (step @p403 :rule modus_ponens :premises (@p402 @p398)) % 119.97/120.27 (step-pop @p916 :rule scope :premises (@p403)) % 119.97/120.27 (step-pop @p917 :rule scope :premises (@p916)) % 119.97/120.27 (step-pop @p918 :rule scope :premises (@p917)) % 119.97/120.27 (step @p404 :rule process_scope :premises (@p918) :args (@t168)) % 119.97/120.27 (step @p408 :rule implies_elim :premises (@p404)) % 119.97/120.27 (step @p409 :rule cnf_and_neg :args (@t203)) % 119.97/120.27 (step @p410 :rule resolution :premises (@p409 @p408) :args (true @t203)) % 119.97/120.27 (step @p411 :rule eq_resolve :premises (@p410 @p385)) % 119.97/120.27 (step @p412 :rule chain_m_resolution :premises (@p411 @p350 @p268 @p381 @p264 @p379 @p377) :args (@t153 @t204 (@list @t197 @t188 @t165 @t166 @t151 @t152))) % 119.97/120.27 (step @p413 :rule refl :args (@t205)) % 119.97/120.27 (step @p414 :rule bool-double-not-elim :args (@t149)) % 119.97/120.27 (step @p415 :rule nary_cong :premises (@p414 @p413) :args ((or (not @t206) @t205))) % 119.97/120.27 (assume-push @p919 @t206) % 119.97/120.27 (step @p417 :rule skolemize :premises (@p919)) % 119.97/120.27 (step-pop @p920 :rule scope :premises (@p417)) % 119.97/120.27 (step @p418 :rule process_scope :premises (@p920) :args (@t205)) % 119.97/120.27 (step @p420 :rule implies_elim :premises (@p418)) % 119.97/120.27 (step @p421 :rule eq_resolve :premises (@p420 @p415)) % 119.97/120.27 (step @p422 :rule chain_m_resolution :premises (@p421 @p412) :args (@t149 @t55 (@list @t153))) % 119.97/120.27 (step @p423 :rule cnf_or_pos :args (@t208)) % 119.97/120.27 (step @p424 :rule reordering :premises (@p423) :args ((or @t207 @t206 (not @t208)))) % 119.97/120.27 (step @p425 :rule chain_m_resolution :premises (@p424 @p422 @p256) :args (@t207 @t142 (@list @t149 @t208))) % 119.97/120.27 (assume-push @p921 @t40) % 119.97/120.27 (assume-push @p922 @t207) % 119.97/120.27 (assume-push @p923 @t140) % 119.97/120.27 (assume-push @p924 @t40) % 119.97/120.27 (assume-push @p925 @t140) % 119.97/120.27 (assume-push @p926 @t207) % 119.97/120.27 (step @p217 :rule true_intro :premises (@p152)) % 119.97/120.27 (step @p432 :rule symm :premises (@p922)) % 119.97/120.27 (step @p433 :rule symm :premises (@p923)) % 119.97/120.27 (step @p434 :rule cong :premises (@p433 @p432) :args ((_ @t29 @t98 @t147))) % 119.97/120.27 (step @p435 :rule refl :args (@t147)) % 119.97/120.27 (step @p436 :rule cong :premises (@p923 @p435) :args (@t209)) % 119.97/120.27 (step @p437 :rule trans :premises (@p436 @p434 @p217)) % 119.97/120.27 (step @p438 :rule true_elim :premises (@p437)) % 119.97/120.27 (step-pop @p927 :rule scope :premises (@p438)) % 119.97/120.27 (step-pop @p928 :rule scope :premises (@p927)) % 119.97/120.27 (step-pop @p929 :rule scope :premises (@p928)) % 119.97/120.27 (step @p439 :rule process_scope :premises (@p929) :args (@t209)) % 119.97/120.27 (step @p443 :rule and_intro :premises (@p152 @p923 @p922)) % 119.97/120.27 (step @p444 :rule modus_ponens :premises (@p443 @p439)) % 119.97/120.27 (step-pop @p930 :rule scope :premises (@p444)) % 119.97/120.27 (step-pop @p931 :rule scope :premises (@p930)) % 119.97/120.27 (step-pop @p932 :rule scope :premises (@p931)) % 119.97/120.27 (step @p445 :rule process_scope :premises (@p932) :args (@t209)) % 119.97/120.27 (step @p449 :rule implies_elim :premises (@p445)) % 119.97/120.27 (step @p450 :rule cnf_and_neg :args (@t210)) % 119.97/120.27 (step @p451 :rule resolution :premises (@p450 @p449) :args (true @t210)) % 119.97/120.27 (step @p452 :rule reordering :premises (@p451) :args ((or @t120 @t209 (not @t207) (not @t140)))) % 119.97/120.27 (step @p453 :rule chain_m_resolution :premises (@p452 @p152 @p425 @p254) :args (@t209 @t211 (@list @t40 @t207 @t140))) % 119.97/120.27 ; trust TRUST PREPROCESS_HO_ELIM % 119.97/120.27 (step @p454 :rule trust :premises () :args ((= (forall @t24 (or (not @t214) @t213)) (forall @t24 (or (not (_ @t72 (_ @t44 @t212 @t7) @t14)) (_ @t72 (_ @t44 @t71 @t14) @t7)))))) % 119.97/120.27 (step @p455 :rule refl :args (@t213)) % 119.97/120.27 (step @p456 :rule refl :args (@t22)) % 119.97/120.27 (step @p457 :rule cong :premises (@p456 @p455) :args ((= @t22 @t213))) % 119.97/120.27 (step @p458 :rule symm :premises (@p457)) % 119.97/120.27 (step @p459 :rule eq_resolve :premises (@p456 @p458)) % 119.97/120.27 (step @p460 :rule refl :args (@t214)) % 119.97/120.27 (step @p461 :rule refl :args (@t23)) % 119.97/120.27 (step @p462 :rule cong :premises (@p461 @p460) :args ((= @t23 @t214))) % 119.97/120.27 (step @p463 :rule symm :premises (@p462)) % 119.97/120.27 (step @p464 :rule eq_resolve :premises (@p461 @p463)) % 119.97/120.27 (step @p465 :rule cong :premises (@p464) :args (@t215)) % 119.97/120.27 (step @p466 :rule nary_cong :premises (@p465 @p459) :args (@t216)) % 119.97/120.27 (step @p467 :rule cong :premises (@p466) :args ((forall @t24 @t216))) % 119.97/120.27 (step @p468 :rule bool-impl-elim :args (@t23 @t22)) % 119.97/120.27 (step @p469 :rule cong :premises (@p468) :args (@t25)) % 119.97/120.27 (step @p470 :rule trans :premises (@p469 @p467)) % 119.97/120.27 (step @p471 :rule trans :premises (@p470 @p454)) % 119.97/120.27 (step @p472 :rule eq_resolve :premises (@p4 @p471)) % 119.97/120.27 (step @p473 :rule instantiate :premises (@p472) :args ((@list tptp.y tptp.z))) % 119.97/120.27 ; trust TRUST PREPROCESS_HO_ELIM % 119.97/120.27 (step @p474 :rule trust :premises () :args ((= @t5 @t217))) % 119.97/120.27 (step @p475 :rule eq_resolve :premises (@p2 @p474)) % 119.97/120.27 (step @p476 :rule cnf_or_pos :args (@t220)) % 119.97/120.27 (step @p477 :rule reordering :premises (@p476) :args ((or @t219 @t218 (not @t220)))) % 119.97/120.27 (step @p478 :rule chain_m_resolution :premises (@p477 @p475 @p473) :args (@t218 @t142 (@list @t217 @t220))) % 119.97/120.27 (step @p479 :rule cnf_or_pos :args (@t223)) % 119.97/120.27 (step @p480 :rule reordering :premises (@p479) :args ((or @t222 @t221 @t64 (not @t223)))) % 119.97/120.27 (step @p481 :rule chain_m_resolution :premises (@p480 @p478 @p453 @p116) :args (@t64 @t211 (@list @t218 @t209 @t223))) % 119.97/120.27 (step @p482 :rule cnf_ite_neg3 :args (@t65)) % 119.97/120.27 (step @p483 :rule reordering :premises (@p482) :args ((or @t120 (not @t64) @t65))) % 119.97/120.27 (step @p484 :rule chain_m_resolution :premises (@p483 @p152 @p481) :args (@t65 @t142 (@list @t40 @t64))) % 119.97/120.27 (step @p485 :rule cnf_equiv_pos2 :args (@t69)) % 119.97/120.27 (step @p486 :rule reordering :premises (@p485) :args ((or @t66 (not @t65) (not @t69)))) % 119.97/120.27 (step @p487 :rule chain_m_resolution :premises (@p486 @p484 @p58) :args (@t66 @t142 (@list @t65 @t69))) % 119.97/120.27 (step @p488 :rule instantiate :premises (@p43) :args ((@list @t224))) % 119.97/120.27 (step @p489 :rule instantiate :premises (@p255) :args ((@list @t39 @t45))) % 119.97/120.27 (step @p490 :rule cnf_equiv_neg2 :args (@t229)) % 119.97/120.27 (step @p491 :rule eq-symm :args (@t233 @t234)) % 119.97/120.27 (step @p492 :rule cong :premises (@p491) :args (@t236)) % 119.97/120.27 ; trust TRUST PREPROCESS_HO_ELIM % 119.97/120.27 (step @p493 :rule trust :premises () :args ((= @t237 @t236))) % 119.97/120.27 (step @p494 :rule trans :premises (@p493 @p492)) % 119.97/120.27 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 119.97/120.27 (step @p495 :rule trust :premises () :args (@t237)) % 119.97/120.27 (step @p496 :rule eq_resolve :premises (@p495 @p494)) % 119.97/120.27 (step @p497 :rule instantiate :premises (@p496) :args ((@list tptp.x tptp.y @t226))) % 119.97/120.27 (step @p498 :rule cnf_equiv_pos2 :args (@t239)) % 119.97/120.27 (step @p499 :rule reordering :premises (@p498) :args ((or @t227 @t241 @t240))) % 119.97/120.27 (assume-push @p933 @t188) % 119.97/120.27 (assume-push @p934 @t197) % 119.97/120.27 (assume-push @p935 @t228) % 119.97/120.27 (assume-push @p936 @t228) % 119.97/120.27 (assume-push @p937 @t197) % 119.97/120.27 (assume-push @p938 @t188) % 119.97/120.27 (step @p506 :rule true_intro :premises (@p935)) % 119.97/120.27 (step @p507 :rule refl :args (@t226)) % 119.97/120.27 (step @p508 :rule symm :premises (@p934)) % 119.97/120.27 (step @p509 :rule trans :premises (@p268 @p508)) % 119.97/120.27 (step @p510 :rule cong :premises (@p509 @p507) :args (@t238)) % 119.97/120.27 (step @p511 :rule trans :premises (@p510 @p506)) % 119.97/120.27 (step @p512 :rule true_elim :premises (@p511)) % 119.97/120.27 (step-pop @p939 :rule scope :premises (@p512)) % 119.97/120.27 (step-pop @p940 :rule scope :premises (@p939)) % 119.97/120.27 (step-pop @p941 :rule scope :premises (@p940)) % 119.97/120.27 (step @p513 :rule process_scope :premises (@p941) :args (@t238)) % 119.97/120.27 (step @p517 :rule and_intro :premises (@p935 @p934 @p268)) % 119.97/120.27 (step @p518 :rule modus_ponens :premises (@p517 @p513)) % 119.97/120.27 (step-pop @p942 :rule scope :premises (@p518)) % 119.97/120.27 (step-pop @p943 :rule scope :premises (@p942)) % 119.97/120.27 (step-pop @p944 :rule scope :premises (@p943)) % 119.97/120.27 (step @p519 :rule process_scope :premises (@p944) :args (@t238)) % 119.97/120.27 (step @p523 :rule implies_elim :premises (@p519)) % 119.97/120.27 (step @p524 :rule cnf_and_neg :args (@t242)) % 119.97/120.27 (step @p525 :rule resolution :premises (@p524 @p523) :args (true @t242)) % 119.97/120.27 (step @p526 :rule chain_m_resolution :premises (@p525 @p350 @p268 @p499 @p497 @p490) :args ((or @t229 @t243) @t201 (@list @t197 @t188 @t238 @t239 @t227))) % 119.97/120.27 (step @p527 :rule cnf_equiv_neg1 :args (@t229)) % 119.97/120.27 (step @p528 :rule reordering :premises (@p527) :args ((or @t228 @t227 @t229))) % 119.97/120.27 (step @p529 :rule cnf_equiv_pos1 :args (@t239)) % 119.97/120.27 (step @p530 :rule reordering :premises (@p529) :args ((or (not @t227) @t238 @t240))) % 119.97/120.27 (step @p531 :rule refl :args (@t241)) % 119.97/120.27 (step @p532 :rule bool-double-not-elim :args (@t228)) % 119.97/120.27 (step @p533 :rule nary_cong :premises (@p291 @p384 @p532 @p531) :args ((or @t189 @t202 (not @t243) @t241))) % 119.97/120.27 (assume-push @p945 @t188) % 119.97/120.27 (assume-push @p946 @t197) % 119.97/120.27 (assume-push @p947 @t243) % 119.97/120.27 (assume-push @p948 @t243) % 119.97/120.27 (assume-push @p949 @t197) % 119.97/120.27 (assume-push @p950 @t188) % 119.97/120.27 (step @p540 :rule false_intro :premises (@p947)) % 119.97/120.27 (step @p507 :rule refl :args (@t226)) % 119.97/120.27 (step @p541 :rule symm :premises (@p946)) % 119.97/120.27 (step @p542 :rule trans :premises (@p268 @p541)) % 119.97/120.27 (step @p543 :rule cong :premises (@p542 @p507) :args (@t238)) % 119.97/120.27 (step @p544 :rule trans :premises (@p543 @p540)) % 119.97/120.27 (step @p545 :rule false_elim :premises (@p544)) % 119.97/120.27 (step-pop @p951 :rule scope :premises (@p545)) % 119.97/120.27 (step-pop @p952 :rule scope :premises (@p951)) % 119.97/120.27 (step-pop @p953 :rule scope :premises (@p952)) % 119.97/120.27 (step @p546 :rule process_scope :premises (@p953) :args (@t241)) % 119.97/120.27 (step @p550 :rule and_intro :premises (@p947 @p946 @p268)) % 119.97/120.27 (step @p551 :rule modus_ponens :premises (@p550 @p546)) % 119.97/120.27 (step-pop @p954 :rule scope :premises (@p551)) % 119.97/120.27 (step-pop @p955 :rule scope :premises (@p954)) % 119.97/120.27 (step-pop @p956 :rule scope :premises (@p955)) % 119.97/120.27 (step @p552 :rule process_scope :premises (@p956) :args (@t241)) % 119.97/120.27 (step @p556 :rule implies_elim :premises (@p552)) % 119.97/120.27 (step @p557 :rule cnf_and_neg :args (@t244)) % 119.97/120.27 (step @p558 :rule resolution :premises (@p557 @p556) :args (true @t244)) % 119.97/120.27 (step @p559 :rule eq_resolve :premises (@p558 @p533)) % 119.97/120.27 (step @p560 :rule chain_m_resolution :premises (@p559 @p350 @p268 @p530 @p497 @p528 @p526) :args (@t229 @t204 (@list @t197 @t188 @t238 @t239 @t227 @t228))) % 119.97/120.27 (step @p561 :rule refl :args (@t245)) % 119.97/120.27 (step @p562 :rule bool-double-not-elim :args (@t225)) % 119.97/120.27 (step @p563 :rule nary_cong :premises (@p562 @p561) :args ((or (not @t246) @t245))) % 119.97/120.27 (assume-push @p957 @t246) % 119.97/120.27 (step @p565 :rule skolemize :premises (@p957)) % 119.97/120.27 (step-pop @p958 :rule scope :premises (@p565)) % 119.97/120.27 (step @p566 :rule process_scope :premises (@p958) :args (@t245)) % 119.97/120.27 (step @p568 :rule implies_elim :premises (@p566)) % 119.97/120.27 (step @p569 :rule eq_resolve :premises (@p568 @p563)) % 119.97/120.27 (step @p570 :rule chain_m_resolution :premises (@p569 @p560) :args (@t225 @t55 (@list @t229))) % 119.97/120.27 (step @p571 :rule cnf_or_pos :args (@t248)) % 119.97/120.27 (step @p572 :rule reordering :premises (@p571) :args ((or @t247 @t246 (not @t248)))) % 119.97/120.27 (step @p573 :rule chain_m_resolution :premises (@p572 @p570 @p489) :args (@t247 @t142 (@list @t225 @t248))) % 119.97/120.27 ; trust TRUST PREPROCESS_HO_ELIM % 119.97/120.27 (step @p574 :rule trust :premises () :args ((= @t252 @t250))) % 119.97/120.27 ; trust TRUST PREPROCESS_HO_ELIM % 119.97/120.27 (step @p575 :rule trust :premises () :args ((= @t26 @t252))) % 119.97/120.27 (step @p576 :rule trans :premises (@p575 @p574)) % 119.97/120.27 (step @p577 :rule eq_resolve :premises (@p5 @p576)) % 119.97/120.27 (step @p578 :rule refl :args (@t254)) % 119.97/120.27 (step @p579 :rule bool-double-not-elim :args (@t249)) % 119.97/120.27 (step @p580 :rule nary_cong :premises (@p211 @p579 @p578) :args ((or @t120 (not @t250) @t254))) % 119.97/120.27 (assume-push @p959 @t40) % 119.97/120.27 (assume-push @p960 @t253) % 119.97/120.27 (assume-push @p961 @t250) % 119.97/120.27 (step @p216 :rule evaluate :args (@t136)) % 119.97/120.27 (step @p217 :rule true_intro :premises (@p152)) % 119.97/120.27 (step @p584 :rule symm :premises (@p960)) % 119.97/120.27 (step @p219 :rule refl :args (@t37)) % 119.97/120.27 (step @p585 :rule cong :premises (@p219 @p584) :args (@t249)) % 119.97/120.27 (step @p586 :rule false_intro :premises (@p577)) % 119.97/120.27 (step @p587 :rule symm :premises (@p586)) % 119.97/120.27 (step @p588 :rule trans :premises (@p587 @p585 @p217)) % 119.97/120.27 (step @p589 false :rule eq_resolve :premises (@p588 @p216)) % 119.97/120.27 (step-pop @p962 :rule scope :premises (@p589)) % 119.97/120.27 (step-pop @p963 :rule scope :premises (@p962)) % 119.97/120.27 (step-pop @p964 :rule scope :premises (@p963)) % 119.97/120.27 (step @p590 :rule process_scope :premises (@p964) :args (false)) % 119.97/120.27 (assume-push @p965 @t40) % 119.97/120.27 (assume-push @p966 @t250) % 119.97/120.27 (assume-push @p967 @t253) % 119.97/120.27 (step @p597 :rule and_intro :premises (@p152 @p967 @p577)) % 119.97/120.27 (step-pop @p968 :rule scope :premises (@p597)) % 119.97/120.27 (step-pop @p969 :rule scope :premises (@p968)) % 119.97/120.27 (step-pop @p970 :rule scope :premises (@p969)) % 119.97/120.27 (step @p598 :rule process_scope :premises (@p970) :args (@t255)) % 119.97/120.27 (step @p602 :rule implies_elim :premises (@p598)) % 119.97/120.27 (step @p603 :rule resolution :premises (@p602 @p590) :args (true @t255)) % 119.97/120.27 (step @p604 :rule not_and :premises (@p603)) % 119.97/120.27 (step @p605 :rule eq_resolve :premises (@p604 @p580)) % 119.97/120.27 (step @p606 :rule reordering :premises (@p605) :args ((or @t249 @t120 @t254))) % 119.97/120.27 (step @p607 :rule chain_m_resolution :premises (@p606 @p577 @p152) :args (@t254 @t256 (@list @t249 @t40))) % 119.97/120.27 (step @p608 :rule refl :args (@t258)) % 119.97/120.27 (step @p609 :rule refl :args (@t259)) % 119.97/120.27 (step @p610 :rule bool-double-not-elim :args (@t253)) % 119.97/120.27 (step @p611 :rule nary_cong :premises (@p610 @p609 @p608) :args ((or (not @t254) @t259 @t258))) % 119.97/120.27 (assume-push @p971 @t254) % 119.97/120.27 (assume-push @p972 @t247) % 119.97/120.27 (assume-push @p973 @t247) % 119.97/120.27 (assume-push @p974 @t254) % 119.97/120.27 (step @p616 :rule bool-eq-false :args (@t257)) % 119.97/120.27 (step @p617 :rule symm :premises (@p616)) % 119.97/120.27 (step @p618 :rule eq-symm :args (@t45 @t224)) % 119.97/120.27 (step @p619 :rule cong :premises (@p618) :args ((not @t260))) % 119.97/120.27 (step @p620 :rule bool-eq-false :args (@t260)) % 119.97/120.27 (step @p621 :rule trans :premises (@p620 @p619)) % 119.97/120.27 (step @p622 :rule trans :premises (@p621 @p617)) % 119.97/120.27 (step @p623 :rule false_intro :premises (@p971)) % 119.97/120.27 (step @p624 :rule refl :args (@t224)) % 119.97/120.27 (step @p625 :rule symm :premises (@p972)) % 119.97/120.27 (step @p626 :rule cong :premises (@p625 @p624) :args (@t260)) % 119.97/120.27 (step @p627 :rule trans :premises (@p626 @p623)) % 119.97/120.27 (step @p628 :rule eq_resolve :premises (@p627 @p622)) % 119.97/120.27 (step @p629 :rule false_elim :premises (@p628)) % 119.97/120.27 (step-pop @p975 :rule scope :premises (@p629)) % 119.97/120.27 (step-pop @p976 :rule scope :premises (@p975)) % 119.97/120.27 (step @p630 :rule process_scope :premises (@p976) :args (@t258)) % 119.97/120.27 (step @p633 :rule and_intro :premises (@p972 @p971)) % 119.97/120.27 (step @p634 :rule modus_ponens :premises (@p633 @p630)) % 119.97/120.27 (step-pop @p977 :rule scope :premises (@p634)) % 119.97/120.27 (step-pop @p978 :rule scope :premises (@p977)) % 119.97/120.27 (step @p635 :rule process_scope :premises (@p978) :args (@t258)) % 119.97/120.27 (step @p638 :rule implies_elim :premises (@p635)) % 119.97/120.27 (step @p639 :rule cnf_and_neg :args (@t261)) % 119.97/120.27 (step @p640 :rule resolution :premises (@p639 @p638) :args (true @t261)) % 119.97/120.27 (step @p641 :rule eq_resolve :premises (@p640 @p611)) % 119.97/120.27 (step @p642 :rule chain_m_resolution :premises (@p641 @p607 @p573) :args (@t258 @t256 (@list @t253 @t247))) % 119.97/120.27 (step @p643 :rule cnf_ite_pos2 :args (@t262)) % 119.97/120.27 (step @p644 :rule reordering :premises (@p643) :args ((or @t249 @t257 @t263))) % 119.97/120.27 (step @p645 :rule chain_m_resolution :premises (@p644 @p577 @p642) :args (@t263 (@list true true) (@list @t249 @t257))) % 119.97/120.27 (step @p646 :rule cnf_equiv_pos2 :args (@t265)) % 119.97/120.27 (step @p647 :rule reordering :premises (@p646) :args ((or @t262 @t266 (not @t265)))) % 119.97/120.27 (step @p648 :rule chain_m_resolution :premises (@p647 @p645 @p488) :args (@t266 @t256 (@list @t262 @t265))) % 119.97/120.27 (step @p649 :rule instantiate :premises (@p255) :args ((@list @t224 @t63))) % 119.97/120.27 (step @p650 :rule cnf_equiv_neg2 :args (@t272)) % 119.97/120.27 (step @p651 :rule instantiate :premises (@p496) :args ((@list tptp.x tptp.z @t269))) % 119.97/120.27 (step @p652 :rule cnf_equiv_pos2 :args (@t275)) % 119.97/120.27 (step @p653 :rule reordering :premises (@p652) :args ((or @t270 @t277 @t276))) % 119.97/120.27 (step @p654 :rule skolem_intro :args (@t278)) % 119.97/120.27 (step @p655 :rule symm :premises (@p654)) % 119.97/120.27 (step @p656 :rule instantiate :premises (@p255) :args ((@list @t224 @t278))) % 119.97/120.27 (step @p657 :rule cnf_equiv_neg2 :args (@t283)) % 119.97/120.27 (step @p658 :rule eq-symm :args (@t285 @t286)) % 119.97/120.27 (step @p659 :rule cong :premises (@p658) :args (@t288)) % 119.97/120.27 ; trust TRUST PREPROCESS_HO_ELIM % 119.97/120.27 (step @p660 :rule trust :premises () :args ((= @t289 @t288))) % 119.97/120.27 (step @p661 :rule trans :premises (@p660 @p659)) % 119.97/120.27 ; trust TRUST PREPROCESS_HO_ELIM_LEMMA % 119.97/120.27 (step @p662 :rule trust :premises () :args (@t289)) % 119.97/120.27 (step @p663 :rule eq_resolve :premises (@p662 @p661)) % 119.97/120.27 (step @p664 :rule eq-symm :args (@t290 @t282)) % 119.97/120.27 (step @p665 :rule refl :args (@t291)) % 119.97/120.27 (step @p666 :rule cong :premises (@p665 @p664) :args ((=> @t291 @t292))) % 119.97/120.27 (assume-push @p979 @t291) % 119.97/120.27 (step @p668 :rule instantiate :premises (@p663) :args ((@list @t280))) % 119.97/120.27 (step-pop @p980 :rule scope :premises (@p668)) % 119.97/120.27 (step @p669 :rule process_scope :premises (@p980) :args (@t292)) % 119.97/120.27 (step @p671 :rule eq_resolve :premises (@p669 @p666)) % 119.97/120.27 (step @p672 :rule implies_elim :premises (@p671)) % 119.97/120.27 (step @p673 :rule chain_m_resolution :premises (@p672 @p663) :args (@t293 @t55 (@list @t291))) % 119.97/120.27 (step @p674 :rule cnf_equiv_pos1 :args (@t293)) % 119.97/120.27 (step @p675 :rule reordering :premises (@p674) :args ((or @t295 @t290 @t294))) % 119.97/120.27 (step @p676 :rule refl :args (@t296)) % 119.97/120.27 (step @p677 :rule bool-double-not-elim :args (@t281)) % 119.97/120.27 (step @p678 :rule refl :args (@t298)) % 119.97/120.27 (step @p679 :rule nary_cong :premises (@p678 @p677 @p676) :args ((or @t298 (not @t299) @t296))) % 119.97/120.27 (assume-push @p981 @t297) % 119.97/120.27 (assume-push @p982 @t299) % 119.97/120.27 (assume-push @p983 @t299) % 119.97/120.27 (assume-push @p984 @t297) % 119.97/120.27 (step @p684 :rule false_intro :premises (@p982)) % 119.97/120.27 (step @p685 :rule refl :args (@t280)) % 119.97/120.27 (step @p686 :rule cong :premises (@p655 @p685) :args (@t290)) % 119.97/120.27 (step @p687 :rule trans :premises (@p686 @p684)) % 119.97/120.27 (step @p688 :rule false_elim :premises (@p687)) % 119.97/120.27 (step-pop @p985 :rule scope :premises (@p688)) % 119.97/120.27 (step-pop @p986 :rule scope :premises (@p985)) % 119.97/120.27 (step @p689 :rule process_scope :premises (@p986) :args (@t296)) % 119.97/120.27 (step @p692 :rule and_intro :premises (@p982 @p655)) % 119.97/120.27 (step @p693 :rule modus_ponens :premises (@p692 @p689)) % 119.97/120.27 (step-pop @p987 :rule scope :premises (@p693)) % 119.97/120.27 (step-pop @p988 :rule scope :premises (@p987)) % 119.97/120.27 (step @p694 :rule process_scope :premises (@p988) :args (@t296)) % 119.97/120.27 (step @p697 :rule implies_elim :premises (@p694)) % 119.97/120.27 (step @p698 :rule cnf_and_neg :args (@t300)) % 119.97/120.27 (step @p699 :rule resolution :premises (@p698 @p697) :args (true @t300)) % 119.97/120.27 (step @p700 :rule eq_resolve :premises (@p699 @p679)) % 119.97/120.27 (step @p701 :rule chain_m_resolution :premises (@p700 @p655 @p675 @p673 @p657) :args ((or @t283 @t295) @t192 (@list @t297 @t290 @t293 @t281))) % 119.97/120.27 (step @p702 :rule cnf_equiv_neg1 :args (@t283)) % 119.97/120.27 (step @p703 :rule reordering :premises (@p702) :args ((or @t282 @t281 @t283))) % 119.97/120.27 (step @p704 :rule cnf_equiv_pos2 :args (@t293)) % 119.97/120.27 (step @p705 :rule reordering :premises (@p704) :args ((or @t282 @t296 @t294))) % 119.97/120.27 (assume-push @p989 @t297) % 119.97/120.27 (assume-push @p990 @t281) % 119.97/120.27 (assume-push @p991 @t281) % 119.97/120.27 (assume-push @p992 @t297) % 119.97/120.27 (step @p710 :rule true_intro :premises (@p990)) % 119.97/120.27 (step @p685 :rule refl :args (@t280)) % 119.97/120.27 (step @p686 :rule cong :premises (@p655 @p685) :args (@t290)) % 119.97/120.27 (step @p711 :rule trans :premises (@p686 @p710)) % 119.97/120.27 (step @p712 :rule true_elim :premises (@p711)) % 119.97/120.27 (step-pop @p993 :rule scope :premises (@p712)) % 119.97/120.27 (step-pop @p994 :rule scope :premises (@p993)) % 119.97/120.27 (step @p713 :rule process_scope :premises (@p994) :args (@t290)) % 119.97/120.27 (step @p716 :rule and_intro :premises (@p990 @p655)) % 119.97/120.27 (step @p717 :rule modus_ponens :premises (@p716 @p713)) % 119.97/120.27 (step-pop @p995 :rule scope :premises (@p717)) % 119.97/120.27 (step-pop @p996 :rule scope :premises (@p995)) % 119.97/120.27 (step @p718 :rule process_scope :premises (@p996) :args (@t290)) % 119.97/120.27 (step @p721 :rule implies_elim :premises (@p718)) % 119.97/120.27 (step @p722 :rule cnf_and_neg :args (@t301)) % 119.97/120.27 (step @p723 :rule resolution :premises (@p722 @p721) :args (true @t301)) % 119.97/120.27 (step @p724 :rule chain_m_resolution :premises (@p723 @p655 @p705 @p673 @p703 @p701) :args (@t283 @t194 (@list @t297 @t290 @t293 @t281 @t282))) % 119.97/120.27 (step @p725 :rule refl :args (@t302)) % 119.97/120.27 (step @p726 :rule bool-double-not-elim :args (@t279)) % 119.97/120.27 (step @p727 :rule nary_cong :premises (@p726 @p725) :args ((or (not @t303) @t302))) % 119.97/120.27 (assume-push @p997 @t303) % 119.97/120.27 (step @p729 :rule skolemize :premises (@p997)) % 119.97/120.27 (step-pop @p998 :rule scope :premises (@p729)) % 119.97/120.27 (step @p730 :rule process_scope :premises (@p998) :args (@t302)) % 119.97/120.27 (step @p732 :rule implies_elim :premises (@p730)) % 119.97/120.27 (step @p733 :rule eq_resolve :premises (@p732 @p727)) % 119.97/120.27 (step @p734 :rule chain_m_resolution :premises (@p733 @p724) :args (@t279 @t55 (@list @t283))) % 119.97/120.27 (step @p735 :rule cnf_or_pos :args (@t305)) % 119.97/120.27 (step @p736 :rule reordering :premises (@p735) :args ((or @t304 @t303 (not @t305)))) % 119.97/120.27 (step @p737 :rule chain_m_resolution :premises (@p736 @p734 @p656) :args (@t304 @t142 (@list @t279 @t305))) % 119.97/120.27 (assume-push @p999 @t297) % 119.97/120.27 (assume-push @p1000 @t304) % 119.97/120.27 (assume-push @p1001 @t271) % 119.97/120.27 (assume-push @p1002 @t271) % 119.97/120.27 (assume-push @p1003 @t304) % 119.97/120.27 (assume-push @p1004 @t297) % 119.97/120.27 (step @p744 :rule true_intro :premises (@p1001)) % 119.97/120.27 (step @p745 :rule refl :args (@t269)) % 119.97/120.27 (step @p746 :rule symm :premises (@p1000)) % 119.97/120.27 (step @p747 :rule trans :premises (@p655 @p746)) % 119.97/120.27 (step @p748 :rule cong :premises (@p747 @p745) :args (@t274)) % 119.97/120.27 (step @p749 :rule trans :premises (@p748 @p744)) % 119.97/120.27 (step @p750 :rule true_elim :premises (@p749)) % 119.97/120.27 (step-pop @p1005 :rule scope :premises (@p750)) % 119.97/120.27 (step-pop @p1006 :rule scope :premises (@p1005)) % 119.97/120.27 (step-pop @p1007 :rule scope :premises (@p1006)) % 119.97/120.27 (step @p751 :rule process_scope :premises (@p1007) :args (@t274)) % 119.97/120.27 (step @p755 :rule and_intro :premises (@p1001 @p1000 @p655)) % 119.97/120.27 (step @p756 :rule modus_ponens :premises (@p755 @p751)) % 119.97/120.27 (step-pop @p1008 :rule scope :premises (@p756)) % 119.97/120.27 (step-pop @p1009 :rule scope :premises (@p1008)) % 119.97/120.27 (step-pop @p1010 :rule scope :premises (@p1009)) % 119.97/120.27 (step @p757 :rule process_scope :premises (@p1010) :args (@t274)) % 119.97/120.27 (step @p761 :rule implies_elim :premises (@p757)) % 119.97/120.27 (step @p762 :rule cnf_and_neg :args (@t306)) % 119.97/120.27 (step @p763 :rule resolution :premises (@p762 @p761) :args (true @t306)) % 119.97/120.27 (step @p764 :rule chain_m_resolution :premises (@p763 @p737 @p655 @p653 @p651 @p650) :args ((or @t272 @t307) @t201 (@list @t304 @t297 @t274 @t275 @t270))) % 119.97/120.27 (step @p765 :rule cnf_equiv_neg1 :args (@t272)) % 119.97/120.27 (step @p766 :rule reordering :premises (@p765) :args ((or @t271 @t270 @t272))) % 119.97/120.27 (step @p767 :rule cnf_equiv_pos1 :args (@t275)) % 119.97/120.27 (step @p768 :rule reordering :premises (@p767) :args ((or (not @t270) @t274 @t276))) % 119.97/120.27 (step @p769 :rule refl :args (@t277)) % 119.97/120.27 (step @p770 :rule bool-double-not-elim :args (@t271)) % 119.97/120.27 (step @p771 :rule refl :args (@t308)) % 119.97/120.27 (step @p772 :rule nary_cong :premises (@p678 @p771 @p770 @p769) :args ((or @t298 @t308 (not @t307) @t277))) % 119.97/120.27 (assume-push @p1011 @t297) % 119.97/120.27 (assume-push @p1012 @t304) % 119.97/120.27 (assume-push @p1013 @t307) % 119.97/120.27 (assume-push @p1014 @t307) % 119.97/120.27 (assume-push @p1015 @t304) % 119.97/120.27 (assume-push @p1016 @t297) % 119.97/120.27 (step @p779 :rule false_intro :premises (@p1013)) % 119.97/120.27 (step @p745 :rule refl :args (@t269)) % 119.97/120.27 (step @p780 :rule symm :premises (@p1012)) % 119.97/120.27 (step @p781 :rule trans :premises (@p655 @p780)) % 119.97/120.27 (step @p782 :rule cong :premises (@p781 @p745) :args (@t274)) % 119.97/120.27 (step @p783 :rule trans :premises (@p782 @p779)) % 119.97/120.27 (step @p784 :rule false_elim :premises (@p783)) % 119.97/120.27 (step-pop @p1017 :rule scope :premises (@p784)) % 119.97/120.27 (step-pop @p1018 :rule scope :premises (@p1017)) % 119.97/120.27 (step-pop @p1019 :rule scope :premises (@p1018)) % 119.97/120.27 (step @p785 :rule process_scope :premises (@p1019) :args (@t277)) % 119.97/120.27 (step @p789 :rule and_intro :premises (@p1013 @p1012 @p655)) % 119.97/120.27 (step @p790 :rule modus_ponens :premises (@p789 @p785)) % 119.97/120.27 (step-pop @p1020 :rule scope :premises (@p790)) % 119.97/120.27 (step-pop @p1021 :rule scope :premises (@p1020)) % 119.97/120.27 (step-pop @p1022 :rule scope :premises (@p1021)) % 119.97/120.27 (step @p791 :rule process_scope :premises (@p1022) :args (@t277)) % 119.97/120.27 (step @p795 :rule implies_elim :premises (@p791)) % 119.97/120.27 (step @p796 :rule cnf_and_neg :args (@t309)) % 119.97/120.27 (step @p797 :rule resolution :premises (@p796 @p795) :args (true @t309)) % 119.97/120.27 (step @p798 :rule eq_resolve :premises (@p797 @p772)) % 119.97/120.27 (step @p799 :rule chain_m_resolution :premises (@p798 @p737 @p655 @p768 @p651 @p766 @p764) :args (@t272 @t204 (@list @t304 @t297 @t274 @t275 @t270 @t271))) % 119.97/120.27 (step @p800 :rule refl :args (@t310)) % 119.97/120.27 (step @p801 :rule bool-double-not-elim :args (@t268)) % 119.97/120.27 (step @p802 :rule nary_cong :premises (@p801 @p800) :args ((or (not @t311) @t310))) % 119.97/120.27 (assume-push @p1023 @t311) % 119.97/120.27 (step @p804 :rule skolemize :premises (@p1023)) % 119.97/120.27 (step-pop @p1024 :rule scope :premises (@p804)) % 119.97/120.27 (step @p805 :rule process_scope :premises (@p1024) :args (@t310)) % 119.97/120.27 (step @p807 :rule implies_elim :premises (@p805)) % 119.97/120.27 (step @p808 :rule eq_resolve :premises (@p807 @p802)) % 119.97/120.27 (step @p809 :rule chain_m_resolution :premises (@p808 @p799) :args (@t268 @t55 (@list @t272))) % 119.97/120.27 (step @p810 :rule cnf_or_pos :args (@t313)) % 119.97/120.27 (step @p811 :rule reordering :premises (@p810) :args ((or @t312 @t311 (not @t313)))) % 119.97/120.27 (step @p812 :rule chain_m_resolution :premises (@p811 @p809 @p649) :args (@t312 @t142 (@list @t268 @t313))) % 119.97/120.27 (step @p813 :rule refl :args (@t314)) % 119.97/120.27 (step @p814 :rule bool-double-not-elim :args (@t264)) % 119.97/120.27 (step @p815 :rule refl :args (@t315)) % 119.97/120.27 (step @p816 :rule nary_cong :premises (@p815 @p814 @p813) :args ((or @t315 (not @t266) @t314))) % 119.97/120.27 (assume-push @p1025 @t266) % 119.97/120.27 (assume-push @p1026 @t312) % 119.97/120.27 (assume-push @p1027 @t66) % 119.97/120.27 (step @p820 :rule evaluate :args ((= true false))) % 119.97/120.27 (step @p821 :rule false_intro :premises (@p1025)) % 119.97/120.27 (step @p822 :rule symm :premises (@p1026)) % 119.97/120.27 (step @p823 :rule refl :args (@t57)) % 119.97/120.27 (step @p824 :rule cong :premises (@p823 @p822) :args (@t66)) % 119.97/120.27 (step @p825 :rule true_intro :premises (@p1027)) % 119.97/120.27 (step @p826 :rule symm :premises (@p825)) % 119.97/120.27 (step @p827 :rule trans :premises (@p826 @p824 @p821)) % 119.97/120.27 (step @p828 false :rule eq_resolve :premises (@p827 @p820)) % 119.97/120.27 (step-pop @p1028 :rule scope :premises (@p828)) % 119.97/120.27 (step-pop @p1029 :rule scope :premises (@p1028)) % 119.97/120.27 (step-pop @p1030 :rule scope :premises (@p1029)) % 119.97/120.27 (step @p829 :rule process_scope :premises (@p1030) :args (false)) % 119.97/120.27 (assume-push @p1031 @t66) % 119.97/120.27 (assume-push @p1032 @t266) % 119.97/120.27 (assume-push @p1033 @t312) % 119.97/120.27 (step @p836 :rule and_intro :premises (@p1032 @p1033 @p1031)) % 119.97/120.27 (step-pop @p1034 :rule scope :premises (@p836)) % 119.97/120.27 (step-pop @p1035 :rule scope :premises (@p1034)) % 119.97/120.27 (step-pop @p1036 :rule scope :premises (@p1035)) % 119.97/120.27 (step @p837 :rule process_scope :premises (@p1036) :args (@t316)) % 119.97/120.27 (step @p841 :rule implies_elim :premises (@p837)) % 119.97/120.27 (step @p842 :rule resolution :premises (@p841 @p829) :args (true @t316)) % 119.97/120.27 (step @p843 :rule not_and :premises (@p842)) % 119.97/120.27 (step @p844 :rule eq_resolve :premises (@p843 @p816)) % 119.97/120.27 (step @p845 :rule reordering :premises (@p844) :args ((or @t264 @t315 @t314))) % 119.97/120.27 (step @p846 false :rule chain_m_resolution :premises (@p845 @p812 @p648 @p487) :args (false (@list false true false) (@list @t312 @t264 @t66))) % 119.97/120.27 ) % 119.97/120.27 % SZS output end Proof % 119.97/120.27 % cvc5 exiting %------------------------------------------------------------------------------