%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU695^2 : 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 : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:52:46 AM UTC 2026 % Result : Theorem 0.94s 1.15s % Output : Proof 0.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU695^2 : 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 % 0.18/0.34 % Computer : n020.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 17:47:40 EDT 2026 % 0.18/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.94/1.15 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.94/1.15 % SZS status Theorem % 0.94/1.15 % SZS output start Proof % 0.94/1.15 ( % 0.94/1.15 (declare-sort $$unsorted 0) % 0.94/1.15 (declare-const tptp.dpsetconstr (-> $$unsorted $$unsorted (-> $$unsorted $$unsorted Bool) $$unsorted)) % 0.94/1.15 (declare-const tptp.funcGraphProp2 Bool) % 0.94/1.15 (declare-const tptp.lamp Bool) % 0.94/1.15 (declare-const tptp.func (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.dpsetconstrI Bool) % 0.94/1.15 (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.15 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.94/1.15 (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.15 (define tptp.lam () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (@var "Xf" (-> $$unsorted $$unsorted)))) (let ((_let_4 (@var "B" $$unsorted))) (let ((_let_5 (@var "A" $$unsorted))) (lambda (@list _let_5 _let_4 _let_3) (_ (_ (_ tptp.dpsetconstr _let_5) _let_4) (lambda (@list _let_2 _let_1) (= (_ _let_3 _let_2) _let_1)))))))))) % 0.94/1.15 (define @t1 () (@var "Xu" $$unsorted)) % 0.94/1.15 (define @t2 () (@var "Xz" $$unsorted)) % 0.94/1.15 (define @t3 () (@var "Xphi" (-> $$unsorted $$unsorted Bool))) % 0.94/1.15 (define @t4 () (_ (_ @t3 @t2) @t1)) % 0.94/1.15 (define @t5 () (@list @t2 @t1)) % 0.94/1.15 (define @t6 () (lambda @t5 @t4)) % 0.94/1.15 (define @t7 () (@var "B" $$unsorted)) % 0.94/1.15 (define @t8 () (@var "A" $$unsorted)) % 0.94/1.15 (define @t9 () (_ (_ tptp.dpsetconstr @t8) @t7)) % 0.94/1.15 (define @t10 () (_ @t9 @t6)) % 0.94/1.15 (define @t11 () (@var "Xy" $$unsorted)) % 0.94/1.15 (define @t12 () (@var "Xx" $$unsorted)) % 0.94/1.15 (define @t13 () (_ (_ tptp.kpair @t12) @t11)) % 0.94/1.15 (define @t14 () (_ tptp.in @t13)) % 0.94/1.15 (define @t15 () (_ @t14 @t10)) % 0.94/1.15 (define @t16 () (_ (_ @t3 @t12) @t11)) % 0.94/1.15 (define @t17 () (=> @t16 @t15)) % 0.94/1.15 (define @t18 () (_ (_ tptp.in @t11) @t7)) % 0.94/1.15 (define @t19 () (@list @t11)) % 0.94/1.15 (define @t20 () (forall @t19 (=> @t18 @t17))) % 0.94/1.15 (define @t21 () (_ (_ tptp.in @t12) @t8)) % 0.94/1.15 (define @t22 () (=> @t21 @t20)) % 0.94/1.15 (define @t23 () (@list @t8 @t7 @t3 @t12)) % 0.94/1.15 (define @t24 () (forall @t23 @t22)) % 0.94/1.15 (define @t25 () (= tptp.dpsetconstrI @t24)) % 0.94/1.15 (define @t26 () (@var "Xf" (-> $$unsorted $$unsorted))) % 0.94/1.15 (define @t27 () (_ @t26 @t12)) % 0.94/1.15 (define @t28 () (@list @t12)) % 0.94/1.15 (define @t29 () (lambda @t28 @t27)) % 0.94/1.15 (define @t30 () (_ (_ tptp.lam @t8) @t7)) % 0.94/1.15 (define @t31 () (_ (_ tptp.func @t8) @t7)) % 0.94/1.15 (define @t32 () (_ (_ tptp.in @t27) @t7)) % 0.94/1.15 (define @t33 () (forall @t28 (=> @t21 @t32))) % 0.94/1.15 (define @t34 () (=> @t33 (_ @t31 (_ @t30 @t29)))) % 0.94/1.15 (define @t35 () (@list @t8 @t7 @t26)) % 0.94/1.15 (define @t36 () (forall @t35 @t34)) % 0.94/1.15 (define @t37 () (= tptp.lamp @t36)) % 0.94/1.15 (define @t38 () (@var "Xf" $$unsorted)) % 0.94/1.15 (define @t39 () (_ (_ tptp.ap @t8) @t7)) % 0.94/1.15 (define @t40 () (_ (_ @t39 @t38) @t12)) % 0.94/1.15 (define @t41 () (_ @t14 @t38)) % 0.94/1.15 (define @t42 () (=> @t41 (= @t40 @t11))) % 0.94/1.15 (define @t43 () (=> @t18 @t42)) % 0.94/1.15 (define @t44 () (forall @t19 @t43)) % 0.94/1.15 (define @t45 () (=> @t21 @t44)) % 0.94/1.15 (define @t46 () (forall @t28 @t45)) % 0.94/1.15 (define @t47 () (_ @t31 @t38)) % 0.94/1.15 (define @t48 () (=> @t47 @t46)) % 0.94/1.15 (define @t49 () (@list @t8 @t7 @t38)) % 0.94/1.15 (define @t50 () (forall @t49 @t48)) % 0.94/1.15 (define @t51 () (= tptp.funcGraphProp2 @t50)) % 0.94/1.15 (define @t52 () (lambda @t19 (_ @t26 @t11))) % 0.94/1.15 (define @t53 () (= (_ (_ @t39 (_ @t30 @t52)) @t12) @t27)) % 0.94/1.15 (define @t54 () (=> @t21 @t53)) % 0.94/1.15 (define @t55 () (forall @t28 @t54)) % 0.94/1.15 (define @t56 () (=> @t33 @t55)) % 0.94/1.15 (define @t57 () (forall @t35 @t56)) % 0.94/1.15 (define @t58 () (=> tptp.funcGraphProp2 @t57)) % 0.94/1.15 (define @t59 () (=> tptp.lamp @t58)) % 0.94/1.15 (define @t60 () (=> tptp.dpsetconstrI @t59)) % 0.94/1.15 (define @t61 () (not @t60)) % 0.94/1.15 (define @t62 () (@list @t12 @t11)) % 0.94/1.15 (define @t63 () (lambda @t62 (= @t27 @t11))) % 0.94/1.15 (define @t64 () (lambda @t35 (_ @t9 @t63))) % 0.94/1.15 (define @t65 () (@var "BOUND_VARIABLE_7745" $$unsorted)) % 0.94/1.15 (define @t66 () (@var "BOUND_VARIABLE_7714" $$unsorted)) % 0.94/1.15 (define @t67 () (_ @t26 @t66)) % 0.94/1.15 (define @t68 () (= @t11 @t67)) % 0.94/1.15 (define @t69 () (@list @t66 @t11)) % 0.94/1.15 (define @t70 () (lambda @t69 @t68)) % 0.94/1.15 (define @t71 () (tptp.dpsetconstr @t8 @t7 @t70)) % 0.94/1.15 (define @t72 () (= (_ @t26 @t65) (tptp.ap @t8 @t7 @t71 @t65))) % 0.94/1.15 (define @t73 () (not (tptp.in @t65 @t8))) % 0.94/1.15 (define @t74 () (_ @t26 @t12)) % 0.94/1.15 (define @t75 () (tptp.in @t74 @t7)) % 0.94/1.15 (define @t76 () (tptp.in @t12 @t8)) % 0.94/1.15 (define @t77 () (not @t76)) % 0.94/1.15 (define @t78 () (forall @t28 (or @t77 @t75))) % 0.94/1.15 (define @t79 () (not @t78)) % 0.94/1.15 (define @t80 () (or @t79 @t73 @t72)) % 0.94/1.15 (define @t81 () (@list @t8 @t7 @t26 @t65)) % 0.94/1.15 (define @t82 () (forall @t81 @t80)) % 0.94/1.15 (define @t83 () (@var "BOUND_VARIABLE_7668" $$unsorted)) % 0.94/1.15 (define @t84 () (tptp.ap @t8 @t7 @t38 @t83)) % 0.94/1.15 (define @t85 () (@var "BOUND_VARIABLE_7670" $$unsorted)) % 0.94/1.15 (define @t86 () (not (tptp.in (tptp.kpair @t83 @t85) @t38))) % 0.94/1.15 (define @t87 () (not (tptp.in @t85 @t7))) % 0.94/1.15 (define @t88 () (not (tptp.in @t83 @t8))) % 0.94/1.15 (define @t89 () (tptp.func @t8 @t7 @t38)) % 0.94/1.15 (define @t90 () (not @t89)) % 0.94/1.15 (define @t91 () (= @t84 @t85)) % 0.94/1.15 (define @t92 () (or @t90 @t88 @t87 @t86 @t91)) % 0.94/1.15 (define @t93 () (or @t88 @t87 @t86 @t91)) % 0.94/1.15 (define @t94 () (or @t90 @t93)) % 0.94/1.15 (define @t95 () (forall (@list @t8 @t7 @t38 @t83 @t85) @t94)) % 0.94/1.15 (define @t96 () (@list @t83 @t85)) % 0.94/1.15 (define @t97 () (forall @t96 @t94)) % 0.94/1.15 (define @t98 () (forall @t96 @t93)) % 0.94/1.15 (define @t99 () (@var "BOUND_VARIABLE_7643" $$unsorted)) % 0.94/1.15 (define @t100 () (or @t90 @t98)) % 0.94/1.15 (define @t101 () (tptp.ap @t8 @t7 @t38 @t12)) % 0.94/1.15 (define @t102 () (not (tptp.in (tptp.kpair @t12 @t99) @t38))) % 0.94/1.15 (define @t103 () (not (tptp.in @t99 @t7))) % 0.94/1.15 (define @t104 () (@list @t12 @t99)) % 0.94/1.15 (define @t105 () (forall @t104 (or @t77 @t103 @t102 (= @t101 @t99)))) % 0.94/1.15 (define @t106 () (not @t47)) % 0.94/1.15 (define @t107 () (or @t106 @t105)) % 0.94/1.15 (define @t108 () (= @t99 @t101)) % 0.94/1.15 (define @t109 () (or @t77 @t103 @t102 @t108)) % 0.94/1.15 (define @t110 () (or @t103 @t102 @t108)) % 0.94/1.15 (define @t111 () (or @t77 @t110)) % 0.94/1.15 (define @t112 () (forall @t104 @t111)) % 0.94/1.15 (define @t113 () (@list @t99)) % 0.94/1.15 (define @t114 () (forall @t113 @t111)) % 0.94/1.15 (define @t115 () (forall @t113 @t110)) % 0.94/1.15 (define @t116 () (@list @t11)) % 0.94/1.15 (define @t117 () (or @t77 @t115)) % 0.94/1.15 (define @t118 () (tptp.kpair @t12 @t11)) % 0.94/1.15 (define @t119 () (tptp.in @t118 @t38)) % 0.94/1.15 (define @t120 () (tptp.in @t11 @t7)) % 0.94/1.15 (define @t121 () (not @t120)) % 0.94/1.15 (define @t122 () (forall @t19 (or @t121 (not @t119) (= @t11 @t101)))) % 0.94/1.15 (define @t123 () (not @t21)) % 0.94/1.15 (define @t124 () (or @t123 @t122)) % 0.94/1.15 (define @t125 () (= @t11 @t40)) % 0.94/1.15 (define @t126 () (_ tptp.in @t118)) % 0.94/1.15 (define @t127 () (not @t41)) % 0.94/1.15 (define @t128 () (not @t18)) % 0.94/1.15 (define @t129 () (or @t128 @t127 @t125)) % 0.94/1.15 (define @t130 () (=> @t41 @t125)) % 0.94/1.15 (define @t131 () (=> tptp.funcGraphProp2 @t82)) % 0.94/1.15 (define @t132 () (= @t11 @t27)) % 0.94/1.15 (define @t133 () (lambda @t62 @t132)) % 0.94/1.15 (define @t134 () (_ @t9 @t133)) % 0.94/1.15 (define @t135 () (= @t11 @t74)) % 0.94/1.15 (define @t136 () (lambda @t62 @t135)) % 0.94/1.15 (define @t137 () (tptp.dpsetconstr @t8 @t7 @t136)) % 0.94/1.15 (define @t138 () (tptp.func @t8 @t7 @t137)) % 0.94/1.15 (define @t139 () (_ @t31 @t134)) % 0.94/1.15 (define @t140 () (or @t79 @t139)) % 0.94/1.15 (define @t141 () (_ @t29 @t12)) % 0.94/1.15 (define @t142 () (= @t11 @t141)) % 0.94/1.15 (define @t143 () (lambda @t62 @t142)) % 0.94/1.15 (define @t144 () (lambda (@list @t26) @t134)) % 0.94/1.15 (define @t145 () (lambda (@list @t7 @t26) @t134)) % 0.94/1.15 (define @t146 () (_ (lambda @t35 @t134) @t8)) % 0.94/1.15 (define @t147 () (or @t123 @t32)) % 0.94/1.15 (define @t148 () (_ @t146 @t7)) % 0.94/1.15 (define @t149 () (=> @t33 (_ @t31 (_ @t148 @t29)))) % 0.94/1.15 (define @t150 () (forall @t35 @t149)) % 0.94/1.15 (define @t151 () (=> tptp.lamp @t131)) % 0.94/1.15 (define @t152 () (tptp.dpsetconstr @t8 @t7 @t3)) % 0.94/1.15 (define @t153 () (@var "BOUND_VARIABLE_7562" $$unsorted)) % 0.94/1.15 (define @t154 () (tptp.in (tptp.kpair @t12 @t153) @t152)) % 0.94/1.15 (define @t155 () (not (_ @t3 @t12 @t153))) % 0.94/1.15 (define @t156 () (not (tptp.in @t153 @t7))) % 0.94/1.15 (define @t157 () (or @t77 @t156 @t155 @t154)) % 0.94/1.15 (define @t158 () (or @t156 @t155 @t154)) % 0.94/1.15 (define @t159 () (or @t77 @t158)) % 0.94/1.15 (define @t160 () (@list @t8 @t7 @t3 @t12 @t153)) % 0.94/1.15 (define @t161 () (forall @t160 @t159)) % 0.94/1.15 (define @t162 () (@list @t153)) % 0.94/1.15 (define @t163 () (forall @t162 @t159)) % 0.94/1.15 (define @t164 () (forall @t162 @t158)) % 0.94/1.15 (define @t165 () (or @t77 @t164)) % 0.94/1.15 (define @t166 () (_ @t3 @t12 @t11)) % 0.94/1.15 (define @t167 () (not @t166)) % 0.94/1.15 (define @t168 () (forall @t19 (or @t121 @t167 (tptp.in @t118 @t152)))) % 0.94/1.15 (define @t169 () (or @t123 @t168)) % 0.94/1.15 (define @t170 () (_ @t3 @t2 @t1)) % 0.94/1.15 (define @t171 () (lambda @t5 @t170)) % 0.94/1.15 (define @t172 () (tptp.dpsetconstr @t8 @t7 @t171)) % 0.94/1.15 (define @t173 () (tptp.in @t118 @t172)) % 0.94/1.15 (define @t174 () (or @t121 @t167 @t173)) % 0.94/1.15 (define @t175 () (not @t16)) % 0.94/1.15 (define @t176 () (or @t128 @t175 @t15)) % 0.94/1.15 (define @t177 () (=> tptp.dpsetconstrI @t151)) % 0.94/1.15 (define @t178 () (or @t73 @t72)) % 0.94/1.15 (define @t179 () (or @t79 @t178)) % 0.94/1.15 (define @t180 () (forall @t81 @t179)) % 0.94/1.15 (define @t181 () (@list @t65)) % 0.94/1.15 (define @t182 () (forall @t181 @t179)) % 0.94/1.15 (define @t183 () (forall @t181 @t178)) % 0.94/1.15 (define @t184 () (@list @t12)) % 0.94/1.15 (define @t185 () (or @t79 @t183)) % 0.94/1.15 (define @t186 () (tptp.ap @t8 @t7 @t71 @t12)) % 0.94/1.15 (define @t187 () (forall @t28 (or @t77 (= @t74 @t186)))) % 0.94/1.15 (define @t188 () (_ @t26 @t66)) % 0.94/1.15 (define @t189 () (= @t11 @t188)) % 0.94/1.15 (define @t190 () (lambda @t69 @t189)) % 0.94/1.15 (define @t191 () (_ @t9 @t190)) % 0.94/1.15 (define @t192 () (_ (_ @t39 @t191) @t12)) % 0.94/1.15 (define @t193 () (= @t27 @t192)) % 0.94/1.15 (define @t194 () (or @t123 @t193)) % 0.94/1.15 (define @t195 () (_ (_ @t39 @t134) @t12)) % 0.94/1.15 (define @t196 () (= @t27 @t195)) % 0.94/1.15 (define @t197 () (=> @t21 @t196)) % 0.94/1.15 (define @t198 () (_ @t52 @t12)) % 0.94/1.15 (define @t199 () (= @t11 @t198)) % 0.94/1.15 (define @t200 () (lambda @t62 @t199)) % 0.94/1.15 (define @t201 () (= (_ (_ @t39 (_ @t148 @t52)) @t12) @t27)) % 0.94/1.15 (define @t202 () (=> @t21 @t201)) % 0.94/1.15 (define @t203 () (forall @t28 @t202)) % 0.94/1.15 (define @t204 () (=> @t33 @t203)) % 0.94/1.15 (define @t205 () (forall @t35 @t204)) % 0.94/1.15 (define @t206 () (=> tptp.funcGraphProp2 @t205)) % 0.94/1.15 (define @t207 () (=> tptp.lamp @t206)) % 0.94/1.15 (define @t208 () (=> tptp.dpsetconstrI @t207)) % 0.94/1.15 (define @t209 () (@quantifiers_skolemize @t82 3)) % 0.94/1.15 (define @t210 () (@quantifiers_skolemize @t82 2)) % 0.94/1.15 (define @t211 () (lambda @t69 (= @t11 (_ @t210 @t66)))) % 0.94/1.15 (define @t212 () (@purify @t211)) % 0.94/1.15 (define @t213 () (@quantifiers_skolemize @t82 1)) % 0.94/1.15 (define @t214 () (@quantifiers_skolemize @t82 0)) % 0.94/1.15 (define @t215 () (_ @t210 @t209)) % 0.94/1.15 (define @t216 () (= @t215 (tptp.ap @t214 @t213 (tptp.dpsetconstr @t214 @t213 @t212) @t209))) % 0.94/1.15 (define @t217 () (tptp.in @t209 @t214)) % 0.94/1.15 (define @t218 () (not @t217)) % 0.94/1.15 (define @t219 () (_ @t210 @t12)) % 0.94/1.15 (define @t220 () (not (tptp.in @t12 @t214))) % 0.94/1.15 (define @t221 () (forall @t28 (or @t220 (tptp.in @t219 @t213)))) % 0.94/1.15 (define @t222 () (not @t221)) % 0.94/1.15 (define @t223 () (or @t222 @t218 @t216)) % 0.94/1.15 (define @t224 () (not @t223)) % 0.94/1.15 (define @t225 () (not @t82)) % 0.94/1.15 (define @t226 () (tptp.dpsetconstr @t214 @t213 @t211)) % 0.94/1.15 (define @t227 () (tptp.ap @t214 @t213 @t226 @t209)) % 0.94/1.15 (define @t228 () (= @t215 @t227)) % 0.94/1.15 (define @t229 () (or @t222 @t218 @t228)) % 0.94/1.15 (define @t230 () (not @t229)) % 0.94/1.15 (define @t231 () (@list true)) % 0.94/1.15 (define @t232 () (@list @t223)) % 0.94/1.15 (define @t233 () (lambda @t62 (= @t11 @t219))) % 0.94/1.15 (define @t234 () (@purify @t233)) % 0.94/1.15 (define @t235 () (tptp.dpsetconstr @t214 @t213 @t234)) % 0.94/1.15 (define @t236 () (tptp.in (tptp.kpair @t209 @t215) @t235)) % 0.94/1.15 (define @t237 () (tptp.in @t215 @t213)) % 0.94/1.15 (define @t238 () (not @t237)) % 0.94/1.15 (define @t239 () (or @t218 @t238 @t236)) % 0.94/1.15 (define @t240 () (_ @t234 @t209 @t215)) % 0.94/1.15 (define @t241 () (not @t240)) % 0.94/1.15 (define @t242 () (or @t218 @t238 @t241 @t236)) % 0.94/1.15 (define @t243 () (forall @t160 @t157)) % 0.94/1.15 (define @t244 () (@list false)) % 0.94/1.15 (define @t245 () (or @t218 @t237)) % 0.94/1.15 (define @t246 () (@list false false)) % 0.94/1.15 (define @t247 () (tptp.dpsetconstr @t214 @t213 @t233)) % 0.94/1.15 (define @t248 () (tptp.func @t214 @t213 @t247)) % 0.94/1.15 (define @t249 () (or @t222 @t248)) % 0.94/1.15 (define @t250 () (forall @t35 (or @t79 @t138))) % 0.94/1.15 (define @t251 () (@var "BOUND_VARIABLE_45343" $$unsorted)) % 0.94/1.15 (define @t252 () (lambda (@list @t251) (_ @t210 @t251))) % 0.94/1.15 (define @t253 () (_ @t252 @t12)) % 0.94/1.15 (define @t254 () (= @t11 @t253)) % 0.94/1.15 (define @t255 () (lambda @t62 @t254)) % 0.94/1.15 (define @t256 () (tptp.dpsetconstr @t214 @t213 @t255)) % 0.94/1.15 (define @t257 () (tptp.func @t214 @t213 @t256)) % 0.94/1.15 (define @t258 () (tptp.in @t253 @t213)) % 0.94/1.15 (define @t259 () (or @t220 @t258)) % 0.94/1.15 (define @t260 () (forall @t28 @t259)) % 0.94/1.15 (define @t261 () (not @t260)) % 0.94/1.15 (define @t262 () (or @t261 @t257)) % 0.94/1.15 (define @t263 () (tptp.func @t214 @t213 @t235)) % 0.94/1.15 (define @t264 () (or @t222 @t263)) % 0.94/1.15 (define @t265 () (tptp.ap @t214 @t213 @t235 @t209)) % 0.94/1.15 (define @t266 () (= @t215 @t265)) % 0.94/1.15 (define @t267 () (not @t236)) % 0.94/1.15 (define @t268 () (not @t263)) % 0.94/1.15 (define @t269 () (or @t268 @t218 @t238 @t267 @t266)) % 0.94/1.15 (define @t270 () (= @t212 @t234)) % 0.94/1.15 (define @t271 () (@const 0 $$unsorted)) % 0.94/1.15 (define @t272 () (@const 1 $$unsorted)) % 0.94/1.15 (define @t273 () (= @t272 (_ @t210 @t271))) % 0.94/1.15 (define @t274 () (= (_ @t233 @t271 @t272) @t273)) % 0.94/1.15 (define @t275 () (_ @t234 @t271 @t272)) % 0.94/1.15 (define @t276 () (_ @t211 @t271 @t272)) % 0.94/1.15 (define @t277 () (_ @t212 @t271 @t272)) % 0.94/1.15 (define @t278 () (= @t277 @t275)) % 0.94/1.15 (define @t279 () (not @t278)) % 0.94/1.15 (define @t280 () (or @t270 @t279)) % 0.94/1.15 (define @t281 () (and @t266 @t270)) % 0.94/1.15 (assume @p1 @t25) % 0.94/1.15 (assume @p2 @t37) % 0.94/1.15 (assume @p3 @t51) % 0.94/1.15 (assume @p4 @t61) % 0.94/1.15 (assume @p5 true) % 0.94/1.15 (step @p6 (= tptp.lam @t64) :rule refl :args (@t64)) % 0.94/1.15 (step @p7 :rule refl :args (@t82)) % 0.94/1.15 (step @p8 :rule eq-symm :args (@t84 @t85)) % 0.94/1.15 (step @p9 :rule refl :args (@t86)) % 0.94/1.15 (step @p10 :rule refl :args (@t87)) % 0.94/1.15 (step @p11 :rule refl :args (@t88)) % 0.94/1.15 (step @p12 :rule refl :args (@t90)) % 0.94/1.15 (step @p13 :rule nary_cong :premises (@p12 @p11 @p10 @p9 @p8) :args (@t92)) % 0.94/1.15 (step @p14 :rule aci_norm :args ((= @t94 @t92))) % 0.94/1.15 (step @p15 :rule trans :premises (@p14 @p13)) % 0.94/1.15 (step @p16 :rule cong :premises (@p15) :args (@t95)) % 0.94/1.15 (step @p17 :rule quant-merge-prenex :args ((= (forall @t49 @t97) @t95))) % 0.94/1.15 (step @p18 :rule alpha_equiv :args (@t98 (@list @t83 @t85) (@list @t12 @t99))) % 0.94/1.15 (step @p19 :rule refl :args (@t90)) % 0.94/1.15 (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t100)) % 0.94/1.15 (step @p21 :rule quant-miniscope-or :args ((= @t97 @t100))) % 0.94/1.15 (step @p22 :rule trans :premises (@p21 @p20)) % 0.94/1.15 (step @p23 :rule symm :premises (@p22)) % 0.94/1.15 (step @p24 :rule cong :premises (@p23) :args ((forall @t49 (or @t90 @t105)))) % 0.94/1.15 (step @p25 :rule trans :premises (@p24 @p17)) % 0.94/1.15 (step @p26 :rule trans :premises (@p25 @p16)) % 0.94/1.15 (step @p27 :rule refl :args (@t105)) % 0.94/1.15 (step @p28 :rule refl :args (@t89)) % 0.94/1.15 (step @p29 :rule refl :args (@t47)) % 0.94/1.15 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t47 @t89))) % 0.94/1.15 (step @p31 :rule symm :premises (@p30)) % 0.94/1.15 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.94/1.15 (step @p33 :rule cong :premises (@p32) :args (@t106)) % 0.94/1.15 (step @p34 :rule nary_cong :premises (@p33 @p27) :args (@t107)) % 0.94/1.15 (step @p35 :rule cong :premises (@p34) :args ((forall @t49 @t107))) % 0.94/1.15 (step @p36 :rule trans :premises (@p35 @p26)) % 0.94/1.15 (step @p37 :rule bool-impl-elim :args (@t47 @t105)) % 0.94/1.15 (step @p38 :rule cong :premises (@p37) :args ((forall @t49 (=> @t47 @t105)))) % 0.94/1.15 (step @p39 :rule trans :premises (@p38 @p36)) % 0.94/1.15 (step @p40 :rule eq-symm :args (@t99 @t101)) % 0.94/1.15 (step @p41 :rule refl :args (@t102)) % 0.94/1.15 (step @p42 :rule refl :args (@t103)) % 0.94/1.15 (step @p43 :rule refl :args (@t77)) % 0.94/1.15 (step @p44 :rule nary_cong :premises (@p43 @p42 @p41 @p40) :args (@t109)) % 0.94/1.15 (step @p45 :rule aci_norm :args ((= @t111 @t109))) % 0.94/1.15 (step @p46 :rule trans :premises (@p45 @p44)) % 0.94/1.15 (step @p47 :rule cong :premises (@p46) :args (@t112)) % 0.94/1.15 (step @p48 :rule quant-merge-prenex :args ((= (forall @t28 @t114) @t112))) % 0.94/1.15 (step @p49 :rule alpha_equiv :args (@t115 (@list @t99) @t116)) % 0.94/1.15 (step @p50 :rule refl :args (@t77)) % 0.94/1.15 (step @p51 :rule nary_cong :premises (@p50 @p49) :args (@t117)) % 0.94/1.15 (step @p52 :rule quant-miniscope-or :args ((= @t114 @t117))) % 0.94/1.15 (step @p53 :rule trans :premises (@p52 @p51)) % 0.94/1.15 (step @p54 :rule symm :premises (@p53)) % 0.94/1.15 (step @p55 :rule cong :premises (@p54) :args ((forall @t28 (or @t77 @t122)))) % 0.94/1.15 (step @p56 :rule trans :premises (@p55 @p48)) % 0.94/1.15 (step @p57 :rule trans :premises (@p56 @p47)) % 0.94/1.15 (step @p58 :rule refl :args (@t122)) % 0.94/1.15 (step @p59 :rule refl :args (@t76)) % 0.94/1.15 (step @p60 :rule refl :args (@t21)) % 0.94/1.15 (step @p61 :rule cong :premises (@p60 @p59) :args ((= @t21 @t76))) % 0.94/1.15 (step @p62 :rule symm :premises (@p61)) % 0.94/1.15 (step @p63 :rule eq_resolve :premises (@p60 @p62)) % 0.94/1.15 (step @p64 :rule cong :premises (@p63) :args (@t123)) % 0.94/1.15 (step @p65 :rule nary_cong :premises (@p64 @p58) :args (@t124)) % 0.94/1.15 (step @p66 :rule cong :premises (@p65) :args ((forall @t28 @t124))) % 0.94/1.15 (step @p67 :rule trans :premises (@p66 @p57)) % 0.94/1.15 (step @p68 :rule bool-impl-elim :args (@t21 @t122)) % 0.94/1.15 (step @p69 :rule cong :premises (@p68) :args ((forall @t28 (=> @t21 @t122)))) % 0.94/1.15 (step @p70 :rule trans :premises (@p69 @p67)) % 0.94/1.15 (step @p71 :rule refl :args (@t101)) % 0.94/1.15 (step @p72 :rule refl :args (@t40)) % 0.94/1.15 (step @p73 :rule cong :premises (@p72 @p71) :args ((= @t40 @t101))) % 0.94/1.15 (step @p74 :rule symm :premises (@p73)) % 0.94/1.15 (step @p75 :rule eq_resolve :premises (@p72 @p74)) % 0.94/1.15 (step @p76 :rule refl :args (@t11)) % 0.94/1.15 (step @p77 :rule cong :premises (@p76 @p75) :args (@t125)) % 0.94/1.15 (step @p78 :rule refl :args ((tptp.in @t13 @t38))) % 0.94/1.15 (step @p79 :rule refl :args (@t38)) % 0.94/1.15 (step @p80 :rule refl :args (@t118)) % 0.94/1.15 (step @p81 :rule cong :premises (@p80 @p79) :args (@t119)) % 0.94/1.15 (step @p82 :rule trans :premises (@p81 @p78)) % 0.94/1.15 (step @p83 :rule refl :args (tptp.in)) % 0.94/1.15 (step @p84 :rule ho_cong :premises (@p83 @p80)) % 0.94/1.15 (step @p85 :rule ho_cong :premises (@p84 @p79)) % 0.94/1.15 (step @p86 :rule cong :premises (@p85 @p82) :args ((= (_ @t126 @t38) @t119))) % 0.94/1.15 (step @p87 :rule symm :premises (@p86)) % 0.94/1.15 (step @p88 :rule refl :args (@t41)) % 0.94/1.15 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 0.94/1.15 (step @p90 :rule refl :args (@t13)) % 0.94/1.15 (step @p91 :rule cong :premises (@p90 @p80) :args ((= @t13 @t118))) % 0.94/1.15 (step @p92 :rule symm :premises (@p91)) % 0.94/1.15 (step @p93 :rule eq_resolve :premises (@p90 @p92)) % 0.94/1.15 (step @p94 :rule ho_cong :premises (@p83 @p93)) % 0.94/1.15 (step @p95 :rule ho_cong :premises (@p94 @p79)) % 0.94/1.15 (step @p96 :rule trans :premises (@p95 @p89)) % 0.94/1.15 (step @p97 :rule cong :premises (@p96) :args (@t127)) % 0.94/1.15 (step @p98 :rule refl :args (@t120)) % 0.94/1.15 (step @p99 :rule refl :args (@t18)) % 0.94/1.15 (step @p100 :rule cong :premises (@p99 @p98) :args ((= @t18 @t120))) % 0.94/1.15 (step @p101 :rule symm :premises (@p100)) % 0.94/1.15 (step @p102 :rule eq_resolve :premises (@p99 @p101)) % 0.94/1.15 (step @p103 :rule cong :premises (@p102) :args (@t128)) % 0.94/1.15 (step @p104 :rule nary_cong :premises (@p103 @p97 @p77) :args (@t129)) % 0.94/1.15 (step @p105 :rule cong :premises (@p104) :args ((forall @t19 @t129))) % 0.94/1.15 (step @p106 :rule aci_norm :args ((= (or @t128 (or @t127 @t125)) @t129))) % 0.94/1.15 (step @p107 :rule bool-impl-elim :args (@t41 @t125)) % 0.94/1.15 (step @p108 :rule refl :args (@t128)) % 0.94/1.15 (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t128 @t130))) % 0.94/1.15 (step @p110 :rule trans :premises (@p109 @p106)) % 0.94/1.15 (step @p111 :rule bool-impl-elim :args (@t18 @t130)) % 0.94/1.15 (step @p112 :rule trans :premises (@p111 @p110)) % 0.94/1.15 (step @p113 :rule cong :premises (@p112) :args ((forall @t19 (=> @t18 @t130)))) % 0.94/1.15 (step @p114 :rule trans :premises (@p113 @p105)) % 0.94/1.15 (step @p115 :rule eq-symm :args (@t40 @t11)) % 0.94/1.15 (step @p116 :rule refl :args (@t41)) % 0.94/1.15 (step @p117 :rule cong :premises (@p116 @p115) :args (@t42)) % 0.94/1.15 (step @p118 :rule refl :args (@t18)) % 0.94/1.15 (step @p119 :rule cong :premises (@p118 @p117) :args (@t43)) % 0.94/1.15 (step @p120 :rule cong :premises (@p119) :args (@t44)) % 0.94/1.15 (step @p121 :rule trans :premises (@p120 @p114)) % 0.94/1.15 (step @p122 :rule refl :args (@t21)) % 0.94/1.15 (step @p123 :rule cong :premises (@p122 @p121) :args (@t45)) % 0.94/1.15 (step @p124 :rule cong :premises (@p123) :args (@t46)) % 0.94/1.15 (step @p125 :rule trans :premises (@p124 @p70)) % 0.94/1.15 (step @p126 :rule refl :args (@t47)) % 0.94/1.15 (step @p127 :rule cong :premises (@p126 @p125) :args (@t48)) % 0.94/1.15 (step @p128 :rule cong :premises (@p127) :args (@t50)) % 0.94/1.15 (step @p129 :rule trans :premises (@p128 @p39)) % 0.94/1.15 (step @p130 :rule refl :args (tptp.funcGraphProp2)) % 0.94/1.15 (step @p131 :rule cong :premises (@p130 @p129) :args (@t51)) % 0.94/1.15 (step @p132 :rule eq_resolve :premises (@p3 @p131)) % 0.94/1.15 (step @p133 :rule cong :premises (@p132 @p7) :args (@t131)) % 0.94/1.15 (step @p134 :rule refl :args ((tptp.func @t8 @t7 @t134))) % 0.94/1.15 (step @p135 :rule refl :args ((tptp.dpsetconstr @t8 @t7 @t133))) % 0.94/1.15 (step @p136 :rule refl :args (@t74)) % 0.94/1.15 (step @p137 :rule cong :premises (@p76 @p136) :args (@t135)) % 0.94/1.15 (step @p138 :rule cong :premises (@p137) :args (@t136)) % 0.94/1.15 (step @p139 :rule refl :args (@t7)) % 0.94/1.15 (step @p140 :rule refl :args (@t8)) % 0.94/1.15 (step @p141 :rule cong :premises (@p140 @p139 @p138) :args (@t137)) % 0.94/1.15 (step @p142 :rule trans :premises (@p141 @p135)) % 0.94/1.15 (step @p143 :rule cong :premises (@p140 @p139 @p142) :args (@t138)) % 0.94/1.15 (step @p144 :rule trans :premises (@p143 @p134)) % 0.94/1.15 (step @p145 :rule refl :args (@t31)) % 0.94/1.15 (step @p146 :rule ho_cong :premises (@p145 @p142)) % 0.94/1.15 (step @p147 :rule cong :premises (@p146 @p144) :args ((= (_ @t31 @t137) @t138))) % 0.94/1.15 (step @p148 :rule symm :premises (@p147)) % 0.94/1.15 (step @p149 :rule refl :args (@t139)) % 0.94/1.15 (step @p150 :rule eq_resolve :premises (@p149 @p148)) % 0.94/1.15 (step @p151 :rule refl :args (@t9)) % 0.94/1.15 (step @p152 :rule ho_cong :premises (@p151 @p138)) % 0.94/1.15 (step @p153 :rule cong :premises (@p152 @p142) :args ((= (_ @t9 @t136) @t137))) % 0.94/1.15 (step @p154 :rule symm :premises (@p153)) % 0.94/1.15 (step @p155 :rule refl :args (@t134)) % 0.94/1.15 (step @p156 :rule eq_resolve :premises (@p155 @p154)) % 0.94/1.15 (step @p157 :rule refl :args (@t27)) % 0.94/1.15 (step @p158 :rule cong :premises (@p157 @p136) :args ((= @t27 @t74))) % 0.94/1.15 (step @p159 :rule symm :premises (@p158)) % 0.94/1.15 (step @p160 :rule eq_resolve :premises (@p157 @p159)) % 0.94/1.15 (step @p161 :rule cong :premises (@p76 @p160) :args (@t132)) % 0.94/1.15 (step @p162 :rule cong :premises (@p161) :args (@t133)) % 0.94/1.15 (step @p163 :rule ho_cong :premises (@p151 @p162)) % 0.94/1.15 (step @p164 :rule trans :premises (@p163 @p156)) % 0.94/1.15 (step @p165 :rule ho_cong :premises (@p145 @p164)) % 0.94/1.15 (step @p166 :rule trans :premises (@p165 @p150)) % 0.94/1.15 (step @p167 :rule refl :args (@t79)) % 0.94/1.15 (step @p168 :rule nary_cong :premises (@p167 @p166) :args (@t140)) % 0.94/1.15 (step @p169 :rule cong :premises (@p168) :args ((forall @t35 @t140))) % 0.94/1.15 (step @p170 :rule bool-impl-elim :args (@t78 @t139)) % 0.94/1.15 (step @p171 :rule cong :premises (@p170) :args ((forall @t35 (=> @t78 @t139)))) % 0.94/1.15 (step @p172 :rule trans :premises (@p171 @p169)) % 0.94/1.15 (step @p173 :rule beta-reduce :args ((= @t141 @t27))) % 0.94/1.15 (step @p174 :rule refl :args (@t11)) % 0.94/1.15 (step @p175 :rule cong :premises (@p174 @p173) :args (@t142)) % 0.94/1.15 (step @p176 :rule cong :premises (@p175) :args (@t143)) % 0.94/1.15 (step @p177 :rule refl :args (@t9)) % 0.94/1.15 (step @p178 :rule ho_cong :premises (@p177 @p176)) % 0.94/1.15 (step @p179 :rule beta-reduce :args ((= (_ @t144 @t29) (_ @t9 @t143)))) % 0.94/1.15 (step @p180 :rule trans :premises (@p179 @p178)) % 0.94/1.15 (step @p181 :rule refl :args (@t29)) % 0.94/1.15 (step @p182 :rule beta-reduce :args ((= (_ @t145 @t7) @t144))) % 0.94/1.15 (step @p183 :rule refl :args (@t7)) % 0.94/1.15 (step @p184 :rule beta-reduce :args ((= @t146 @t145))) % 0.94/1.15 (step @p185 :rule ho_cong :premises (@p184 @p183)) % 0.94/1.15 (step @p186 :rule trans :premises (@p185 @p182)) % 0.94/1.15 (step @p187 :rule ho_cong :premises (@p186 @p181)) % 0.94/1.15 (step @p188 :rule trans :premises (@p187 @p180)) % 0.94/1.15 (step @p189 :rule refl :args (@t31)) % 0.94/1.15 (step @p190 :rule ho_cong :premises (@p189 @p188)) % 0.94/1.15 (step @p191 :rule refl :args ((tptp.in @t27 @t7))) % 0.94/1.15 (step @p192 :rule cong :premises (@p136 @p139) :args (@t75)) % 0.94/1.15 (step @p193 :rule trans :premises (@p192 @p191)) % 0.94/1.15 (step @p194 :rule ho_cong :premises (@p83 @p136)) % 0.94/1.15 (step @p195 :rule ho_cong :premises (@p194 @p139)) % 0.94/1.15 (step @p196 :rule cong :premises (@p195 @p193) :args ((= (_ (_ tptp.in @t74) @t7) @t75))) % 0.94/1.15 (step @p197 :rule symm :premises (@p196)) % 0.94/1.15 (step @p198 :rule refl :args (@t32)) % 0.94/1.15 (step @p199 :rule eq_resolve 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:args ((@list @t214 @t213 @t234 @t209 @t215))) % 0.94/1.15 (step-pop @p578 :rule scope :premises (@p468)) % 0.94/1.15 (step @p469 :rule process_scope :premises (@p578) :args (@t242)) % 0.94/1.15 (step @p471 :rule eq_resolve :premises (@p469 @p466)) % 0.94/1.15 (step @p472 :rule implies_elim :premises (@p471)) % 0.94/1.15 (step @p473 :rule chain_m_resolution :premises (@p472 @p448) :args (@t239 @t244 (@list @t243))) % 0.94/1.15 (step @p474 :rule bool-double-not-elim :args (@t221)) % 0.94/1.15 (step @p475 :rule refl :args (@t223)) % 0.94/1.15 (step @p476 :rule nary_cong :premises (@p475 @p474) :args ((or @t223 (not @t222)))) % 0.94/1.15 (step @p477 :rule cnf_or_neg :args (@t223 0)) % 0.94/1.15 (step @p478 :rule eq_resolve :premises (@p477 @p476)) % 0.94/1.15 (step @p479 :rule reordering :premises (@p478) :args ((or @t221 @t223))) % 0.94/1.15 (step @p480 :rule chain_m_resolution :premises (@p479 @p443) :args (@t221 @t231 @t232)) % 0.94/1.15 (step @p481 :rule instantiate :premises (@p480) :args ((@list @t209))) % 0.94/1.15 (step @p482 :rule bool-double-not-elim :args (@t217)) % 0.94/1.15 (step @p483 :rule nary_cong :premises (@p475 @p482) :args ((or @t223 (not @t218)))) % 0.94/1.15 (step @p484 :rule cnf_or_neg :args (@t223 1)) % 0.94/1.15 (step @p485 :rule eq_resolve :premises (@p484 @p483)) % 0.94/1.15 (step @p486 :rule reordering :premises (@p485) :args ((or @t217 @t223))) % 0.94/1.15 (step @p487 :rule chain_m_resolution :premises (@p486 @p443) :args (@t217 @t231 @t232)) % 0.94/1.15 (step @p488 :rule cnf_or_pos :args (@t245)) % 0.94/1.15 (step @p489 :rule reordering :premises (@p488) :args ((or @t218 @t237 (not @t245)))) % 0.94/1.15 (step @p490 :rule chain_m_resolution :premises (@p489 @p487 @p481) :args (@t237 @t246 (@list @t217 @t245))) % 0.94/1.15 (step @p491 :rule cnf_or_pos :args (@t239)) % 0.94/1.15 (step @p492 :rule reordering :premises (@p491) :args ((or @t218 @t238 @t236 (not @t239)))) % 0.94/1.15 (step @p493 :rule chain_m_resolution :premises (@p492 @p487 @p490 @p473) :args (@t236 (@list false false false) (@list @t217 @t237 @t239))) % 0.94/1.15 (step @p494 :rule not_implies_elim1 :premises (@p411)) % 0.94/1.15 (step @p495 :rule eq-refl :args (@t233)) % 0.94/1.15 (step @p496 :rule refl :args (@t233)) % 0.94/1.15 (step @p497 :rule cong :premises (@p496 @p455) :args ((= @t233 @t234))) % 0.94/1.15 (step @p498 :rule trans :premises (@p497 @p495)) % 0.94/1.15 (step @p499 :rule true_elim :premises (@p498)) % 0.94/1.15 (step @p500 :rule cong :premises (@p425 @p424 @p499) :args (@t247)) % 0.94/1.15 (step @p501 :rule cong :premises (@p425 @p424 @p500) :args (@t248)) % 0.94/1.15 (step @p502 :rule nary_cong :premises (@p431 @p501) :args (@t249)) % 0.94/1.15 (step @p503 :rule refl :args (@t250)) % 0.94/1.15 (step @p504 :rule cong :premises (@p503 @p502) :args ((=> @t250 @t249))) % 0.94/1.15 (step @p505 :rule beta-reduce :args ((= @t253 @t219))) % 0.94/1.15 (step @p506 :rule cong :premises (@p174 @p505) :args (@t254)) % 0.94/1.15 (step @p507 :rule cong :premises (@p506) :args (@t255)) % 0.94/1.15 (step @p508 :rule cong :premises (@p425 @p424 @p507) :args (@t256)) % 0.94/1.15 (step @p509 :rule cong :premises (@p425 @p424 @p508) :args (@t257)) % 0.94/1.15 (step @p510 :rule cong :premises (@p505 @p424) :args (@t258)) % 0.94/1.15 (step @p511 :rule refl :args (@t220)) % 0.94/1.15 (step @p512 :rule nary_cong :premises (@p511 @p510) :args (@t259)) % 0.94/1.15 (step @p513 :rule cong :premises (@p512) :args (@t260)) % 0.94/1.15 (step @p514 :rule cong :premises (@p513) :args (@t261)) % 0.94/1.15 (step @p515 :rule nary_cong :premises (@p514 @p509) :args (@t262)) % 0.94/1.15 (step @p516 :rule cong :premises (@p503 @p515) :args ((=> @t250 @t262))) % 0.94/1.15 (assume-push @p579 @t250) % 0.94/1.15 (step @p518 :rule instantiate :premises (@p494) :args ((@list @t214 @t213 @t252))) % 0.94/1.15 (step-pop @p580 :rule scope :premises (@p518)) % 0.94/1.15 (step @p519 :rule process_scope :premises (@p580) :args (@t262)) % 0.94/1.15 (step @p521 :rule eq_resolve :premises (@p519 @p516)) % 0.94/1.15 (step @p522 :rule eq_resolve :premises (@p521 @p504)) % 0.94/1.15 (step @p523 :rule implies_elim :premises (@p522)) % 0.94/1.15 (step @p524 :rule chain_m_resolution :premises (@p523 @p494) :args (@t264 @t244 (@list @t250))) % 0.94/1.15 (step @p525 :rule cnf_or_pos :args (@t264)) % 0.94/1.15 (step @p526 :rule reordering :premises (@p525) :args ((or @t222 @t263 (not @t264)))) % 0.94/1.15 (step @p527 :rule chain_m_resolution :premises (@p526 @p480 @p524) :args (@t263 @t246 (@list @t221 @t264))) % 0.94/1.15 (step @p528 :rule cnf_or_pos :args (@t269)) % 0.94/1.15 (step @p529 :rule reordering :premises (@p528) :args ((or @t218 @t238 @t268 @t267 @t266 (not @t269)))) % 0.94/1.15 (step @p530 :rule chain_m_resolution :premises (@p529 @p487 @p490 @p527 @p493 @p447) :args (@t266 (@list false false false false false) (@list @t217 @t237 @t263 @t236 @t269))) % 0.94/1.15 (step @p531 :rule aci_norm :args ((= (or @t270 false) @t270))) % 0.94/1.15 (step @p532 :rule eq-refl :args (@t273)) % 0.94/1.15 (step @p533 :rule refl :args (@t273)) % 0.94/1.15 (step @p534 :rule beta-reduce :args (@t274)) % 0.94/1.15 (step @p535 :rule cong :premises (@p534 @p533) :args (@t274)) % 0.94/1.15 (step @p536 :rule trans :premises (@p535 @p532)) % 0.94/1.15 (step @p537 :rule refl :args (@t272)) % 0.94/1.15 (step @p538 :rule refl :args (@t271)) % 0.94/1.15 (step @p539 :rule ho_cong :premises (@p455 @p538 @p537)) % 0.94/1.15 (step @p540 :rule cong :premises (@p539 @p533) :args ((= @t275 @t273))) % 0.94/1.15 (step @p541 :rule trans :premises (@p540 @p536)) % 0.94/1.15 (step @p542 :rule true_elim :premises (@p541)) % 0.94/1.15 (step @p543 :rule beta-reduce :args ((= @t276 @t273))) % 0.94/1.15 (step @p544 :rule cong :premises (@p533 @p543) :args ((= @t273 @t276))) % 0.94/1.15 (step @p545 :rule trans :premises (@p544 @p532)) % 0.94/1.15 (step @p546 :rule eq-symm :args (@t276 @t273)) % 0.94/1.15 (step @p547 :rule trans :premises (@p546 @p545)) % 0.94/1.15 (step @p548 :rule ho_cong :premises (@p419 @p538 @p537)) % 0.94/1.15 (step @p549 :rule cong :premises (@p548 @p533) :args ((= @t277 @t273))) % 0.94/1.15 (step @p550 :rule trans :premises (@p549 @p547)) % 0.94/1.15 (step @p551 :rule true_elim :premises (@p550)) % 0.94/1.15 (step @p552 :rule cong :premises (@p551 @p542) :args (@t278)) % 0.94/1.15 (step @p553 :rule trans :premises (@p552 @p532)) % 0.94/1.15 (step @p554 :rule cong :premises (@p553) :args (@t279)) % 0.94/1.15 (step @p555 :rule trans :premises (@p554 @p451)) % 0.94/1.15 (step @p556 :rule refl :args (@t270)) % 0.94/1.15 (step @p557 :rule nary_cong :premises (@p556 @p555) :args (@t280)) % 0.94/1.15 (step @p558 :rule trans :premises (@p557 @p531)) % 0.94/1.15 ; WARNING: add trust step for TRUST % 0.94/1.15 ; trust TRUST THEORY_LEMMA % 0.94/1.15 (step @p559 :rule trust :premises () :args (@t280)) % 0.94/1.15 (step @p560 :rule eq_resolve :premises (@p559 @p558)) % 0.94/1.15 (assume-push @p581 @t266) % 0.94/1.15 (assume-push @p582 @t270) % 0.94/1.15 (step @p563 :rule symm :premises (@p560)) % 0.94/1.15 (step @p564 :rule cong :premises (@p425 @p424 @p563) :args (@t235)) % 0.94/1.15 (step @p565 :rule cong :premises (@p425 @p424 @p564 @p417) :args (@t265)) % 0.94/1.15 (step @p566 :rule trans :premises (@p530 @p565)) % 0.94/1.15 (step-pop @p583 :rule scope :premises (@p566)) % 0.94/1.15 (step-pop @p584 :rule scope :premises (@p583)) % 0.94/1.15 (step @p567 :rule process_scope :premises (@p584) :args (@t216)) % 0.94/1.15 (step @p570 :rule implies_elim :premises (@p567)) % 0.94/1.15 (step @p571 :rule cnf_and_neg :args (@t281)) % 0.94/1.15 (step @p572 :rule resolution :premises (@p571 @p570) :args (true @t281)) % 0.94/1.15 (step @p573 :rule reordering :premises (@p572) :args ((or @t216 (not @t266) (not @t270)))) % 0.94/1.15 (step @p574 false :rule chain_m_resolution :premises (@p573 @p560 @p530 @p445) :args (false (@list false false true) (@list @t270 @t266 @t216))) % 0.94/1.15 ) % 0.94/1.15 % SZS output end Proof % 0.94/1.15 % cvc5 exiting %------------------------------------------------------------------------------