%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV212^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:55:37 AM UTC 2026 % Result : Theorem 150.97s 151.36s % Output : Proof 150.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV212^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n019.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 18:19:04 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.51 %----Proving TH0 % 150.97/151.36 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 150.97/151.36 --- 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... % 150.97/151.36 --- 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... % 150.97/151.36 --- Run --ho-elim --full-saturate-quant at 18s... % 150.97/151.36 % SZS status Theorem % 150.97/151.36 % SZS output start Proof % 150.97/151.36 ( % 150.97/151.36 (declare-sort tptp.iS 0) % 150.97/151.36 (declare-const tptp.c0 tptp.iS) % 150.97/151.36 (declare-const tptp.cP (-> tptp.iS tptp.iS tptp.iS)) % 150.97/151.36 (define @t1 () (@var "Xv" tptp.iS)) % 150.97/151.36 (define @t2 () (@var "Xy" tptp.iS)) % 150.97/151.36 (define @t3 () (_ (_ tptp.cP @t2) @t1)) % 150.97/151.36 (define @t4 () (@var "Xu" tptp.iS)) % 150.97/151.36 (define @t5 () (@var "Xx" tptp.iS)) % 150.97/151.36 (define @t6 () (_ tptp.cP @t5)) % 150.97/151.36 (define @t7 () (_ @t6 @t4)) % 150.97/151.36 (define @t8 () (@var "R" (-> tptp.iS tptp.iS tptp.iS Bool))) % 150.97/151.36 (define @t9 () (_ (_ (_ @t8 @t7) @t3) @t3)) % 150.97/151.36 (define @t10 () (@var "Xc" tptp.iS)) % 150.97/151.36 (define @t11 () (@var "Xb" tptp.iS)) % 150.97/151.36 (define @t12 () (@var "Xa" tptp.iS)) % 150.97/151.36 (define @t13 () (_ (_ (_ @t8 @t12) @t11) @t10)) % 150.97/151.36 (define @t14 () (@var "Xz2" tptp.iS)) % 150.97/151.36 (define @t15 () (@var "Xy2" tptp.iS)) % 150.97/151.36 (define @t16 () (@var "Xx2" tptp.iS)) % 150.97/151.36 (define @t17 () (_ (_ (_ @t8 @t16) @t15) @t14)) % 150.97/151.36 (define @t18 () (@var "Xz1" tptp.iS)) % 150.97/151.36 (define @t19 () (@var "Xy1" tptp.iS)) % 150.97/151.36 (define @t20 () (@var "Xx1" tptp.iS)) % 150.97/151.36 (define @t21 () (_ (_ (_ @t8 @t20) @t19) @t18)) % 150.97/151.36 (define @t22 () (_ (_ tptp.cP @t18) @t14)) % 150.97/151.36 (define @t23 () (= @t10 @t22)) % 150.97/151.36 (define @t24 () (_ (_ tptp.cP @t19) @t15)) % 150.97/151.36 (define @t25 () (= @t11 @t24)) % 150.97/151.36 (define @t26 () (_ (_ tptp.cP @t20) @t16)) % 150.97/151.36 (define @t27 () (= @t12 @t26)) % 150.97/151.36 (define @t28 () (and @t27 @t25 @t23 @t21 @t17)) % 150.97/151.36 (define @t29 () (@list @t20 @t16 @t19 @t15 @t18 @t14)) % 150.97/151.36 (define @t30 () (exists @t29 @t28)) % 150.97/151.36 (define @t31 () (= @t12 @t10)) % 150.97/151.36 (define @t32 () (and (= @t11 tptp.c0) @t31)) % 150.97/151.36 (define @t33 () (= @t11 @t10)) % 150.97/151.36 (define @t34 () (and (= @t12 tptp.c0) @t33)) % 150.97/151.36 (define @t35 () (or @t34 @t32 @t30)) % 150.97/151.36 (define @t36 () (=> @t35 @t13)) % 150.97/151.36 (define @t37 () (@list @t12 @t11 @t10)) % 150.97/151.36 (define @t38 () (forall @t37 @t36)) % 150.97/151.36 (define @t39 () (and true @t38)) % 150.97/151.36 (define @t40 () (=> @t39 @t9)) % 150.97/151.36 (define @t41 () (@list @t8)) % 150.97/151.36 (define @t42 () (forall @t41 @t40)) % 150.97/151.36 (define @t43 () (_ (_ (_ @t8 @t4) @t1) @t1)) % 150.97/151.36 (define @t44 () (=> @t39 @t43)) % 150.97/151.36 (define @t45 () (forall @t41 @t44)) % 150.97/151.36 (define @t46 () (_ (_ (_ @t8 @t5) @t2) @t2)) % 150.97/151.36 (define @t47 () (=> @t39 @t46)) % 150.97/151.36 (define @t48 () (forall @t41 @t47)) % 150.97/151.36 (define @t49 () (and @t48 @t45)) % 150.97/151.36 (define @t50 () (=> @t49 @t42)) % 150.97/151.36 (define @t51 () (@list @t5 @t2 @t4 @t1)) % 150.97/151.36 (define @t52 () (forall @t51 @t50)) % 150.97/151.36 (define @t53 () (@var "X" (-> tptp.iS Bool))) % 150.97/151.36 (define @t54 () (_ @t53 @t5)) % 150.97/151.36 (define @t55 () (@list @t5)) % 150.97/151.36 (define @t56 () (forall @t55 @t54)) % 150.97/151.36 (define @t57 () (_ @t6 @t2)) % 150.97/151.36 (define @t58 () (_ @t53 @t57)) % 150.97/151.36 (define @t59 () (_ @t53 @t2)) % 150.97/151.36 (define @t60 () (and @t54 @t59)) % 150.97/151.36 (define @t61 () (@list @t5 @t2)) % 150.97/151.36 (define @t62 () (forall @t61 (=> @t60 @t58))) % 150.97/151.36 (define @t63 () (_ @t53 tptp.c0)) % 150.97/151.36 (define @t64 () (and @t63 @t62)) % 150.97/151.36 (define @t65 () (=> @t64 @t56)) % 150.97/151.36 (define @t66 () (@list @t53)) % 150.97/151.36 (define @t67 () (forall @t66 @t65)) % 150.97/151.36 (define @t68 () (and (= @t5 @t2) (= @t4 @t1))) % 150.97/151.36 (define @t69 () (= @t7 @t3)) % 150.97/151.36 (define @t70 () (forall @t51 (=> @t69 @t68))) % 150.97/151.36 (define @t71 () (not (= @t57 tptp.c0))) % 150.97/151.36 (define @t72 () (forall @t61 @t71)) % 150.97/151.36 (define @t73 () (and @t72 @t70 @t67)) % 150.97/151.36 (define @t74 () (=> @t73 @t52)) % 150.97/151.36 (define @t75 () (not @t74)) % 150.97/151.36 (define @t76 () (@const 0 (@ho-elim-sort (-> tptp.iS tptp.iS tptp.iS)))) % 150.97/151.36 (define @t77 () (@const 1 (-> (@ho-elim-sort (-> tptp.iS tptp.iS tptp.iS)) tptp.iS (@ho-elim-sort (-> tptp.iS tptp.iS))))) % 150.97/151.36 (define @t78 () (@const 2 (-> (@ho-elim-sort (-> tptp.iS tptp.iS)) tptp.iS tptp.iS))) % 150.97/151.36 (define @t79 () (_ @t78 (_ @t77 @t76 @t2) @t1)) % 150.97/151.36 (define @t80 () (_ @t77 @t76 @t5)) % 150.97/151.36 (define @t81 () (_ @t78 @t80 @t4)) % 150.97/151.36 (define @t82 () (@var "BOUND_VARIABLE_7717" (@ho-elim-sort (-> tptp.iS tptp.iS tptp.iS Bool)))) % 150.97/151.36 (define @t83 () (@const 3 (-> (@ho-elim-sort (-> tptp.iS tptp.iS tptp.iS Bool)) tptp.iS (@ho-elim-sort (-> tptp.iS tptp.iS Bool))))) % 150.97/151.36 (define @t84 () (@const 4 (-> (@ho-elim-sort (-> tptp.iS tptp.iS Bool)) tptp.iS (@ho-elim-sort (-> tptp.iS Bool))))) % 150.97/151.36 (define @t85 () (@const 5 (-> (@ho-elim-sort (-> tptp.iS Bool)) tptp.iS Bool))) % 150.97/151.36 (define @t86 () (@var "BOUND_VARIABLE_7622" tptp.iS)) % 150.97/151.36 (define @t87 () (@var "BOUND_VARIABLE_7618" tptp.iS)) % 150.97/151.36 (define @t88 () (@var "BOUND_VARIABLE_7614" tptp.iS)) % 150.97/151.36 (define @t89 () (@var "BOUND_VARIABLE_7620" tptp.iS)) % 150.97/151.36 (define @t90 () (@var "BOUND_VARIABLE_7616" tptp.iS)) % 150.97/151.36 (define @t91 () (@var "BOUND_VARIABLE_7612" tptp.iS)) % 150.97/151.36 (define @t92 () (not (= @t10 (_ @t78 (_ @t77 @t76 @t89) @t86)))) % 150.97/151.36 (define @t93 () (not (= @t11 (_ @t78 (_ @t77 @t76 @t90) @t87)))) % 150.97/151.36 (define @t94 () (not (= @t12 (_ @t78 (_ @t77 @t76 @t91) @t88)))) % 150.97/151.36 (define @t95 () (= tptp.c0 @t11)) % 150.97/151.36 (define @t96 () (or (not @t95) (not @t31))) % 150.97/151.36 (define @t97 () (= tptp.c0 @t12)) % 150.97/151.36 (define @t98 () (or (not @t97) (not @t33))) % 150.97/151.36 (define @t99 () (@list @t12 @t11 @t10 @t91 @t88 @t90 @t87 @t89 @t86)) % 150.97/151.36 (define @t100 () (@var "BOUND_VARIABLE_7772" (@ho-elim-sort (-> tptp.iS tptp.iS tptp.iS Bool)))) % 150.97/151.36 (define @t101 () (not (forall @t99 (or (and @t98 @t96 (or @t94 @t93 @t92 (not (_ @t85 (_ @t84 (_ @t83 @t100 @t91) @t90) @t89)) (not (_ @t85 (_ @t84 (_ @t83 @t100 @t88) @t87) @t86)))) (_ @t85 (_ @t84 (_ @t83 @t100 @t12) @t11) @t10))))) % 150.97/151.36 (define @t102 () (@list @t100)) % 150.97/151.36 (define @t103 () (forall (@list @t5 @t2 @t4 @t1 @t82) (or (not (forall @t102 (or @t101 (_ @t85 (_ @t84 (_ @t83 @t100 @t5) @t2) @t2)))) (not (forall @t102 (or @t101 (_ @t85 (_ @t84 (_ @t83 @t100 @t4) @t1) @t1)))) (not (forall @t99 (or (and @t98 @t96 (or @t94 @t93 @t92 (not (_ @t85 (_ @t84 (_ @t83 @t82 @t91) @t90) @t89)) (not (_ @t85 (_ @t84 (_ @t83 @t82 @t88) @t87) @t86)))) (_ @t85 (_ @t84 (_ @t83 @t82 @t12) @t11) @t10)))) (_ @t85 (_ @t84 (_ @t83 @t82 @t81) @t79) @t79)))) % 150.97/151.36 (define @t104 () (@var "BOUND_VARIABLE_7557" tptp.iS)) % 150.97/151.36 (define @t105 () (@var "BOUND_VARIABLE_7812" (@ho-elim-sort (-> tptp.iS Bool)))) % 150.97/151.36 (define @t106 () (_ @t78 @t80 @t2)) % 150.97/151.36 (define @t107 () (forall (@list @t105 @t104) (or (not (_ @t85 @t105 tptp.c0)) (not (forall @t61 (or (not (_ @t85 @t105 @t5)) (not (_ @t85 @t105 @t2)) (_ @t85 @t105 @t106)))) (_ @t85 @t105 @t104)))) % 150.97/151.36 (define @t108 () (not (= @t81 @t79))) % 150.97/151.36 (define @t109 () (or @t108 @t68)) % 150.97/151.36 (define @t110 () (forall @t51 @t109)) % 150.97/151.36 (define @t111 () (forall @t61 (not (= tptp.c0 @t106)))) % 150.97/151.36 (define @t112 () (and @t111 @t110 @t107)) % 150.97/151.36 (define @t113 () (=> @t112 @t103)) % 150.97/151.36 (define @t114 () (not @t113)) % 150.97/151.36 (define @t115 () (tptp.cP @t2 @t1)) % 150.97/151.36 (define @t116 () (tptp.cP @t5 @t4)) % 150.97/151.36 (define @t117 () (@var "BOUND_VARIABLE_7676" (-> tptp.iS tptp.iS tptp.iS Bool))) % 150.97/151.36 (define @t118 () (_ @t117 @t116 @t115 @t115)) % 150.97/151.36 (define @t119 () (not (= @t10 (tptp.cP @t89 @t86)))) % 150.97/151.36 (define @t120 () (not (= @t11 (tptp.cP @t90 @t87)))) % 150.97/151.36 (define @t121 () (not (= @t12 (tptp.cP @t91 @t88)))) % 150.97/151.36 (define @t122 () (not (forall @t99 (or (and @t98 @t96 (or @t121 @t120 @t119 (not (_ @t117 @t91 @t90 @t89)) (not (_ @t117 @t88 @t87 @t86)))) (_ @t117 @t12 @t11 @t10))))) % 150.97/151.36 (define @t123 () (_ @t8 @t4 @t1 @t1)) % 150.97/151.36 (define @t124 () (_ @t8 @t12 @t11 @t10)) % 150.97/151.36 (define @t125 () (or @t121 @t120 @t119 (not (_ @t8 @t91 @t90 @t89)) (not (_ @t8 @t88 @t87 @t86)))) % 150.97/151.37 (define @t126 () (and @t98 @t96 @t125)) % 150.97/151.37 (define @t127 () (or @t126 @t124)) % 150.97/151.37 (define @t128 () (forall @t99 @t127)) % 150.97/151.37 (define @t129 () (not @t128)) % 150.97/151.37 (define @t130 () (forall @t41 (or @t129 @t123))) % 150.97/151.37 (define @t131 () (not @t130)) % 150.97/151.37 (define @t132 () (_ @t8 @t5 @t2 @t2)) % 150.97/151.37 (define @t133 () (forall @t41 (or @t129 @t132))) % 150.97/151.37 (define @t134 () (not @t133)) % 150.97/151.37 (define @t135 () (or @t134 @t131 @t122 @t118)) % 150.97/151.37 (define @t136 () (@list @t5 @t2 @t4 @t1 @t117)) % 150.97/151.37 (define @t137 () (_ @t53 @t104)) % 150.97/151.37 (define @t138 () (tptp.cP @t5 @t2)) % 150.97/151.37 (define @t139 () (_ @t53 @t138)) % 150.97/151.37 (define @t140 () (_ @t53 @t2)) % 150.97/151.37 (define @t141 () (_ @t53 @t5)) % 150.97/151.37 (define @t142 () (forall @t61 (or (not @t141) (not @t140) @t139))) % 150.97/151.37 (define @t143 () (not @t142)) % 150.97/151.37 (define @t144 () (_ @t53 tptp.c0)) % 150.97/151.37 (define @t145 () (not @t144)) % 150.97/151.37 (define @t146 () (or @t145 @t143 @t137)) % 150.97/151.37 (define @t147 () (forall (@list @t53 @t104) @t146)) % 150.97/151.37 (define @t148 () (or @t122 @t118)) % 150.97/151.37 (define @t149 () (or @t134 @t131 @t148)) % 150.97/151.37 (define @t150 () (forall @t136 @t149)) % 150.97/151.37 (define @t151 () (@list @t117)) % 150.97/151.37 (define @t152 () (forall @t151 @t149)) % 150.97/151.37 (define @t153 () (forall @t151 @t148)) % 150.97/151.37 (define @t154 () (or @t134 @t131 @t153)) % 150.97/151.37 (define @t155 () (_ @t8 @t116 @t115 @t115)) % 150.97/151.37 (define @t156 () (forall @t41 (or @t129 @t155))) % 150.97/151.37 (define @t157 () (or @t134 @t131 @t156)) % 150.97/151.37 (define @t158 () (and @t133 @t130)) % 150.97/151.37 (define @t159 () (or @t129 @t9)) % 150.97/151.37 (define @t160 () (@list @t91 @t88 @t90 @t87 @t89 @t86)) % 150.97/151.37 (define @t161 () (forall @t160 @t127)) % 150.97/151.37 (define @t162 () (forall @t160 @t125)) % 150.97/151.37 (define @t163 () (forall @t160 @t96)) % 150.97/151.37 (define @t164 () (forall @t160 @t98)) % 150.97/151.37 (define @t165 () (and @t164 @t163 @t162)) % 150.97/151.37 (define @t166 () (forall @t160 @t126)) % 150.97/151.37 (define @t167 () (or @t166 @t124)) % 150.97/151.37 (define @t168 () (_ @t8 @t16 @t15 @t14)) % 150.97/151.37 (define @t169 () (_ @t8 @t20 @t19 @t18)) % 150.97/151.37 (define @t170 () (tptp.cP @t18 @t14)) % 150.97/151.37 (define @t171 () (tptp.cP @t19 @t15)) % 150.97/151.37 (define @t172 () (tptp.cP @t20 @t16)) % 150.97/151.37 (define @t173 () (forall @t29 (or (not (= @t12 @t172)) (not (= @t11 @t171)) (not (= @t10 @t170)) (not @t169) (not @t168)))) % 150.97/151.37 (define @t174 () (and @t98 @t96 @t173)) % 150.97/151.37 (define @t175 () (or @t174 @t13)) % 150.97/151.37 (define @t176 () (and @t95 @t31)) % 150.97/151.37 (define @t177 () (not @t176)) % 150.97/151.37 (define @t178 () (and @t97 @t33)) % 150.97/151.37 (define @t179 () (not @t178)) % 150.97/151.37 (define @t180 () (not @t173)) % 150.97/151.37 (define @t181 () (not @t180)) % 150.97/151.37 (define @t182 () (and @t179 @t177 @t181)) % 150.97/151.37 (define @t183 () (or @t178 @t176 @t180)) % 150.97/151.37 (define @t184 () (not @t17)) % 150.97/151.37 (define @t185 () (not @t21)) % 150.97/151.37 (define @t186 () (not @t23)) % 150.97/151.37 (define @t187 () (not @t25)) % 150.97/151.37 (define @t188 () (not @t27)) % 150.97/151.37 (define @t189 () (or @t188 @t187 @t186 @t185 @t184)) % 150.97/151.37 (define @t190 () (forall @t29 (not @t28))) % 150.97/151.37 (define @t191 () (not @t190)) % 150.97/151.37 (define @t192 () (or @t129 @t43)) % 150.97/151.37 (define @t193 () (or @t129 @t46)) % 150.97/151.37 (define @t194 () (@list @t104)) % 150.97/151.37 (define @t195 () (forall @t194 @t146)) % 150.97/151.37 (define @t196 () (forall @t194 @t137)) % 150.97/151.37 (define @t197 () (or @t145 @t143 @t196)) % 150.97/151.37 (define @t198 () (forall @t55 @t141)) % 150.97/151.37 (define @t199 () (not @t63)) % 150.97/151.37 (define @t200 () (or @t199 @t143 @t198)) % 150.97/151.37 (define @t201 () (and @t63 @t142)) % 150.97/151.37 (define @t202 () (not @t59)) % 150.97/151.37 (define @t203 () (not @t54)) % 150.97/151.37 (define @t204 () (or @t203 @t202 @t58)) % 150.97/151.37 (define @t205 () (not @t69)) % 150.97/151.37 (define @t206 () (or @t205 @t68)) % 150.97/151.37 (define @t207 () (= tptp.c0 @t57)) % 150.97/151.37 (define @t208 () (not @t207)) % 150.97/151.37 (define @t209 () (@quantifiers_skolemize @t103 3)) % 150.97/151.37 (define @t210 () (@quantifiers_skolemize @t103 2)) % 150.97/151.37 (define @t211 () (forall @t102 (or @t101 (_ @t85 (_ @t84 (_ @t83 @t100 @t210) @t209) @t209)))) % 150.97/151.37 (define @t212 () (@quantifiers_skolemize @t103 1)) % 150.97/151.37 (define @t213 () (_ @t78 (_ @t77 @t76 @t212) @t209)) % 150.97/151.37 (define @t214 () (@quantifiers_skolemize @t103 0)) % 150.97/151.37 (define @t215 () (_ @t78 (_ @t77 @t76 @t214) @t210)) % 150.97/151.37 (define @t216 () (@quantifiers_skolemize @t103 4)) % 150.97/151.37 (define @t217 () (_ @t85 (_ @t84 (_ @t83 @t216 @t215) @t213) @t213)) % 150.97/151.37 (define @t218 () (forall @t99 (or (and @t98 @t96 (or @t94 @t93 @t92 (not (_ @t85 (_ @t84 (_ @t83 @t216 @t91) @t90) @t89)) (not (_ @t85 (_ @t84 (_ @t83 @t216 @t88) @t87) @t86)))) (_ @t85 (_ @t84 (_ @t83 @t216 @t12) @t11) @t10)))) % 150.97/151.37 (define @t219 () (not @t218)) % 150.97/151.37 (define @t220 () (not @t211)) % 150.97/151.37 (define @t221 () (forall @t102 (or @t101 (_ @t85 (_ @t84 (_ @t83 @t100 @t214) @t212) @t212)))) % 150.97/151.37 (define @t222 () (not @t221)) % 150.97/151.37 (define @t223 () (or @t222 @t220 @t219 @t217)) % 150.97/151.37 (define @t224 () (@list true)) % 150.97/151.37 (define @t225 () (@list @t223)) % 150.97/151.37 (define @t226 () (_ @t85 (_ @t84 (_ @t83 @t216 @t210) @t209) @t209)) % 150.97/151.37 (define @t227 () (not @t226)) % 150.97/151.37 (define @t228 () (_ @t85 (_ @t84 (_ @t83 @t216 @t214) @t212) @t212)) % 150.97/151.37 (define @t229 () (not @t228)) % 150.97/151.37 (define @t230 () (or @t229 @t227)) % 150.97/151.37 (define @t231 () (not (= @t213 @t213))) % 150.97/151.37 (define @t232 () (not (= @t215 @t215))) % 150.97/151.37 (define @t233 () (or @t232 @t231 @t231 @t229 @t227)) % 150.97/151.37 (define @t234 () (or (not (= tptp.c0 @t213)) (not (= @t215 @t213)))) % 150.97/151.37 (define @t235 () (not (= tptp.c0 @t215))) % 150.97/151.37 (define @t236 () (or @t235 @t231)) % 150.97/151.37 (define @t237 () (and @t236 @t234 @t233)) % 150.97/151.37 (define @t238 () (or @t237 @t217)) % 150.97/151.37 (define @t239 () (and @t235 @t234 @t230)) % 150.97/151.37 (define @t240 () (or @t239 @t217)) % 150.97/151.37 (define @t241 () (@list false)) % 150.97/151.37 (define @t242 () (@list true false)) % 150.97/151.37 (define @t243 () (@list @t216)) % 150.97/151.37 (define @t244 () (or @t219 @t228)) % 150.97/151.37 (define @t245 () (@list false false)) % 150.97/151.37 (define @t246 () (or @t219 @t226)) % 150.97/151.37 (define @t247 () (not @t246)) % 150.97/151.37 (assume @p1 @t75) % 150.97/151.37 (assume @p2 true) % 150.97/151.37 (step @p3 :rule refl :args (@t103)) % 150.97/151.37 (step @p4 :rule refl :args (@t107)) % 150.97/151.37 (step @p5 :rule refl :args (@t68)) % 150.97/151.37 (step @p6 :rule eq-symm :args (@t81 @t79)) % 150.97/151.37 (step @p7 :rule cong :premises (@p6) :args (@t108)) % 150.97/151.37 (step @p8 :rule nary_cong :premises (@p7 @p5) :args (@t109)) % 150.97/151.37 (step @p9 :rule cong :premises (@p8) :args (@t110)) % 150.97/151.37 (step @p10 :rule refl :args (@t111)) % 150.97/151.37 (step @p11 :rule nary_cong :premises (@p10 @p9 @p4) :args (@t112)) % 150.97/151.37 (step @p12 :rule cong :premises (@p11 @p3) :args (@t113)) % 150.97/151.37 (step @p13 :rule cong :premises (@p12) :args (@t114)) % 150.97/151.37 ; WARNING: add trust step for TRUST % 150.97/151.37 ; trust TRUST PREPROCESS_HO_ELIM % 150.97/151.37 (step @p14 :rule trust :premises () :args ((= (not (=> (and (forall @t61 (not (= tptp.c0 @t138))) (forall @t51 (or (not (= @t116 @t115)) @t68)) @t147) (forall @t136 @t135))) @t114))) % 150.97/151.37 (step @p15 :rule aci_norm :args ((= @t149 @t135))) % 150.97/151.37 (step @p16 :rule cong :premises (@p15) :args (@t150)) % 150.97/151.37 (step @p17 :rule quant-merge-prenex :args ((= (forall @t51 @t152) @t150))) % 150.97/151.37 (step @p18 :rule alpha_equiv :args (@t153 (@list @t117) (@list @t8))) % 150.97/151.37 (step @p19 :rule refl :args (@t131)) % 150.97/151.37 (step @p20 :rule refl :args (@t134)) % 150.97/151.37 (step @p21 :rule nary_cong :premises (@p20 @p19 @p18) :args (@t154)) % 150.97/151.37 (step @p22 :rule quant-miniscope-or :args ((= @t152 @t154))) % 150.97/151.37 (step @p23 :rule trans :premises (@p22 @p21)) % 150.97/151.37 (step @p24 :rule symm :premises (@p23)) % 150.97/151.37 (step @p25 :rule cong :premises (@p24) :args ((forall @t51 @t157))) % 150.97/151.37 (step @p26 :rule trans :premises (@p25 @p17)) % 150.97/151.37 (step @p27 :rule trans :premises (@p26 @p16)) % 150.97/151.37 (step @p28 :rule aci_norm :args ((= (or (or @t134 @t131) @t156) @t157))) % 150.97/151.37 (step @p29 :rule refl :args (@t156)) % 150.97/151.37 (step @p30 :rule bool-and-de-morgan :args (@t133 @t130 true)) % 150.97/151.37 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or (not @t158) @t156))) % 150.97/151.37 (step @p32 :rule trans :premises (@p31 @p28)) % 150.97/151.37 (step @p33 :rule bool-impl-elim :args (@t158 @t156)) % 150.97/151.37 (step @p34 :rule trans :premises (@p33 @p32)) % 150.97/151.37 (step @p35 :rule cong :premises (@p34) :args ((forall @t51 (=> @t158 @t156)))) % 150.97/151.37 (step @p36 :rule trans :premises (@p35 @p27)) % 150.97/151.37 (step @p37 :rule refl :args ((_ @t8 @t7 @t3 @t3))) % 150.97/151.37 (step @p38 :rule refl :args (@t115)) % 150.97/151.37 (step @p39 :rule refl :args (@t116)) % 150.97/151.37 (step @p40 :rule cong :premises (@p39 @p38 @p38) :args (@t155)) % 150.97/151.37 (step @p41 :rule trans :premises (@p40 @p37)) % 150.97/151.37 (step @p42 :rule refl :args (@t8)) % 150.97/151.37 (step @p43 :rule ho_cong :premises (@p42 @p39)) % 150.97/151.37 (step @p44 :rule ho_cong :premises (@p43 @p38)) % 150.97/151.37 (step @p45 :rule ho_cong :premises (@p44 @p38)) % 150.97/151.37 (step @p46 :rule cong :premises (@p45 @p41) :args ((= (_ (_ (_ @t8 @t116) @t115) @t115) @t155))) % 150.97/151.37 (step @p47 :rule symm :premises (@p46)) % 150.97/151.37 (step @p48 :rule refl :args (@t9)) % 150.97/151.37 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 150.97/151.37 (step @p50 :rule refl :args (@t3)) % 150.97/151.37 (step @p51 :rule cong :premises (@p50 @p38) :args ((= @t3 @t115))) % 150.97/151.37 (step @p52 :rule symm :premises (@p51)) % 150.97/151.37 (step @p53 :rule eq_resolve :premises (@p50 @p52)) % 150.97/151.37 (step @p54 :rule refl :args (@t7)) % 150.97/151.37 (step @p55 :rule cong :premises (@p54 @p39) :args ((= @t7 @t116))) % 150.97/151.37 (step @p56 :rule symm :premises (@p55)) % 150.97/151.37 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 150.97/151.37 (step @p58 :rule ho_cong :premises (@p42 @p57)) % 150.97/151.37 (step @p59 :rule ho_cong :premises (@p58 @p53)) % 150.97/151.37 (step @p60 :rule ho_cong :premises (@p59 @p53)) % 150.97/151.37 (step @p61 :rule trans :premises (@p60 @p49)) % 150.97/151.37 (step @p62 :rule refl :args (@t129)) % 150.97/151.37 (step @p63 :rule nary_cong :premises (@p62 @p61) :args (@t159)) % 150.97/151.37 (step @p64 :rule cong :premises (@p63) :args ((forall @t41 @t159))) % 150.97/151.37 (step @p65 :rule bool-impl-elim :args (@t128 @t9)) % 150.97/151.37 (step @p66 :rule cong :premises (@p65) :args ((forall @t41 (=> @t128 @t9)))) % 150.97/151.37 (step @p67 :rule trans :premises (@p66 @p64)) % 150.97/151.37 (step @p68 :rule refl :args (@t9)) % 150.97/151.37 (step @p69 :rule quant-merge-prenex :args ((= (forall @t37 @t161) @t128))) % 150.97/151.37 (step @p70 :rule refl :args (@t124)) % 150.97/151.37 (step @p71 :rule alpha_equiv :args (@t162 (@list @t91 @t88 @t90 @t87 @t89 @t86) (@list @t20 @t16 @t19 @t15 @t18 @t14))) % 150.97/151.37 (step @p72 :rule quant-unused-vars :args ((= @t163 @t96))) % 150.97/151.37 (step @p73 :rule quant-unused-vars :args ((= @t164 @t98))) % 150.97/151.37 (step @p74 :rule nary_cong :premises (@p73 @p72 @p71) :args (@t165)) % 150.97/151.37 (step @p75 :rule quant-miniscope-and :args ((= @t166 @t165))) % 150.97/151.37 (step @p76 :rule trans :premises (@p75 @p74)) % 150.97/151.37 (step @p77 :rule nary_cong :premises (@p76 @p70) :args (@t167)) % 150.97/151.37 (step @p78 :rule quant-miniscope-or :args ((= @t161 @t167))) % 150.97/151.37 (step @p79 :rule trans :premises (@p78 @p77)) % 150.97/151.37 (step @p80 :rule symm :premises (@p79)) % 150.97/151.37 (step @p81 :rule cong :premises (@p80) :args ((forall @t37 (or @t174 @t124)))) % 150.97/151.37 (step @p82 :rule trans :premises (@p81 @p69)) % 150.97/151.37 (step @p83 :rule refl :args (@t124)) % 150.97/151.37 (step @p84 :rule refl :args (@t13)) % 150.97/151.37 (step @p85 :rule cong :premises (@p84 @p83) :args ((= @t13 @t124))) % 150.97/151.37 (step @p86 :rule symm :premises (@p85)) % 150.97/151.37 (step @p87 :rule eq_resolve :premises (@p84 @p86)) % 150.97/151.37 (step @p88 :rule refl :args (@t174)) % 150.97/151.37 (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t175)) % 150.97/151.37 (step @p90 :rule cong :premises (@p89) :args ((forall @t37 @t175))) % 150.97/151.37 (step @p91 :rule trans :premises (@p90 @p82)) % 150.97/151.37 (step @p92 :rule refl :args (@t173)) % 150.97/151.37 (step @p93 :rule bool-and-de-morgan :args (@t95 @t31 true)) % 150.97/151.37 (step @p94 :rule bool-and-de-morgan :args (@t97 @t33 true)) % 150.97/151.37 (step @p95 :rule nary_cong :premises (@p94 @p93 @p92) :args ((and @t179 @t177 @t173))) % 150.97/151.37 (step @p96 :rule bool-double-not-elim :args (@t173)) % 150.97/151.37 (step @p97 :rule refl :args (@t177)) % 150.97/151.37 (step @p98 :rule refl :args (@t179)) % 150.97/151.37 (step @p99 :rule nary_cong :premises (@p98 @p97 @p96) :args (@t182)) % 150.97/151.37 (step @p100 :rule aci_norm :args ((= (and @t179 (and @t177 @t181)) @t182))) % 150.97/151.37 (step @p101 :rule trans :premises (@p100 @p99)) % 150.97/151.37 (step @p102 :rule bool-or-de-morgan :args (@t176 @t180 false)) % 150.97/151.37 (step @p103 :rule nary_cong :premises (@p98 @p102) :args ((and @t179 (not (or @t176 @t180))))) % 150.97/151.37 (step @p104 :rule bool-or-de-morgan :args (@t178 @t176 (or @t180))) % 150.97/151.37 (step @p105 :rule trans :premises (@p104 @p103)) % 150.97/151.37 (step @p106 :rule trans :premises (@p105 @p101)) % 150.97/151.37 (step @p107 :rule trans :premises (@p106 @p95)) % 150.97/151.37 (step @p108 :rule nary_cong :premises (@p107 @p84) :args ((or (not @t183) @t13))) % 150.97/151.37 (step @p109 :rule bool-impl-elim :args (@t183 @t13)) % 150.97/151.37 (step @p110 :rule trans :premises (@p109 @p108)) % 150.97/151.37 (step @p111 :rule cong :premises (@p110) :args ((forall @t37 (=> @t183 @t13)))) % 150.97/151.37 (step @p112 :rule trans :premises (@p111 @p91)) % 150.97/151.37 (step @p113 :rule refl :args (@t13)) % 150.97/151.37 (step @p114 :rule refl :args (@t168)) % 150.97/151.37 (step @p115 :rule refl :args (@t17)) % 150.97/151.37 (step @p116 :rule cong :premises (@p115 @p114) :args ((= @t17 @t168))) % 150.97/151.37 (step @p117 :rule symm :premises (@p116)) % 150.97/151.37 (step @p118 :rule eq_resolve :premises (@p115 @p117)) % 150.97/151.37 (step @p119 :rule cong :premises (@p118) :args (@t184)) % 150.97/151.37 (step @p120 :rule refl :args (@t169)) % 150.97/151.37 (step @p121 :rule refl :args (@t21)) % 150.97/151.37 (step @p122 :rule cong :premises (@p121 @p120) :args ((= @t21 @t169))) % 150.97/151.37 (step @p123 :rule symm :premises (@p122)) % 150.97/151.37 (step @p124 :rule eq_resolve :premises (@p121 @p123)) % 150.97/151.37 (step @p125 :rule cong :premises (@p124) :args (@t185)) % 150.97/151.37 (step @p126 :rule refl :args (@t170)) % 150.97/151.37 (step @p127 :rule refl :args (@t22)) % 150.97/151.37 (step @p128 :rule cong :premises (@p127 @p126) :args ((= @t22 @t170))) % 150.97/151.37 (step @p129 :rule symm :premises (@p128)) % 150.97/151.37 (step @p130 :rule eq_resolve :premises (@p127 @p129)) % 150.97/151.37 (step @p131 :rule refl :args (@t10)) % 150.97/151.37 (step @p132 :rule cong :premises (@p131 @p130) :args (@t23)) % 150.97/151.37 (step @p133 :rule cong :premises (@p132) :args (@t186)) % 150.97/151.37 (step @p134 :rule refl :args (@t171)) % 150.97/151.37 (step @p135 :rule refl :args (@t24)) % 150.97/151.37 (step @p136 :rule cong :premises (@p135 @p134) :args ((= @t24 @t171))) % 150.97/151.37 (step @p137 :rule symm :premises (@p136)) % 150.97/151.37 (step @p138 :rule eq_resolve :premises (@p135 @p137)) % 150.97/151.37 (step @p139 :rule refl :args (@t11)) % 150.97/151.37 (step @p140 :rule cong :premises (@p139 @p138) :args (@t25)) % 150.97/151.37 (step @p141 :rule cong :premises (@p140) :args (@t187)) % 150.97/151.37 (step @p142 :rule refl :args (@t172)) % 150.97/151.37 (step @p143 :rule refl :args (@t26)) % 150.97/151.37 (step @p144 :rule cong :premises (@p143 @p142) :args ((= @t26 @t172))) % 150.97/151.37 (step @p145 :rule symm :premises (@p144)) % 150.97/151.37 (step @p146 :rule eq_resolve :premises (@p143 @p145)) % 150.97/151.37 (step @p147 :rule refl :args (@t12)) % 150.97/151.37 (step @p148 :rule cong :premises (@p147 @p146) :args (@t27)) % 150.97/151.37 (step @p149 :rule cong :premises (@p148) :args (@t188)) % 150.97/151.37 (step @p150 :rule nary_cong :premises (@p149 @p141 @p133 @p125 @p119) :args (@t189)) % 150.97/151.37 (step @p151 :rule cong :premises (@p150) :args ((forall @t29 @t189))) % 150.97/151.37 (step @p152 :rule aci_norm :args ((= (or @t188 (or @t187 (or @t186 (or @t185 @t184)))) @t189))) % 150.97/151.37 (step @p153 :rule bool-and-de-morgan :args (@t21 @t17 true)) % 150.97/151.37 (step @p154 :rule refl :args (@t186)) % 150.97/151.37 (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((or @t186 (not (and @t21 @t17))))) % 150.97/151.37 (step @p156 :rule bool-and-de-morgan :args (@t23 @t21 (and @t17))) % 150.97/151.37 (step @p157 :rule trans :premises (@p156 @p155)) % 150.97/151.37 (step @p158 :rule refl :args (@t187)) % 150.97/151.37 (step @p159 :rule nary_cong :premises (@p158 @p157) :args ((or @t187 (not (and @t23 @t21 @t17))))) % 150.97/151.37 (step @p160 :rule bool-and-de-morgan :args (@t25 @t23 (and @t21 @t17))) % 150.97/151.37 (step @p161 :rule trans :premises (@p160 @p159)) % 150.97/151.37 (step @p162 :rule refl :args (@t188)) % 150.97/151.37 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or @t188 (not (and @t25 @t23 @t21 @t17))))) % 150.97/151.37 (step @p164 :rule bool-and-de-morgan :args (@t27 @t25 (and @t23 @t21 @t17))) % 150.97/151.37 (step @p165 :rule trans :premises (@p164 @p163)) % 150.97/151.37 (step @p166 :rule trans :premises (@p165 @p152)) % 150.97/151.37 (step @p167 :rule cong :premises (@p166) :args (@t190)) % 150.97/151.37 (step @p168 :rule trans :premises (@p167 @p151)) % 150.97/151.37 (step @p169 :rule cong :premises (@p168) :args (@t191)) % 150.97/151.37 (step @p170 :rule exists-elim :args ((= @t30 @t191))) % 150.97/151.37 (step @p171 :rule trans :premises (@p170 @p169)) % 150.97/151.37 (step @p172 :rule refl :args (@t31)) % 150.97/151.37 (step @p173 :rule eq-symm :args (@t11 tptp.c0)) % 150.97/151.37 (step @p174 :rule nary_cong :premises (@p173 @p172) :args (@t32)) % 150.97/151.37 (step @p175 :rule refl :args (@t33)) % 150.97/151.37 (step @p176 :rule eq-symm :args (@t12 tptp.c0)) % 150.97/151.37 (step @p177 :rule nary_cong :premises (@p176 @p175) :args (@t34)) % 150.97/151.37 (step @p178 :rule nary_cong :premises (@p177 @p174 @p171) :args (@t35)) % 150.97/151.37 (step @p179 :rule cong :premises (@p178 @p113) :args (@t36)) % 150.97/151.37 (step @p180 :rule cong :premises (@p179) :args (@t38)) % 150.97/151.37 (step @p181 :rule trans :premises (@p180 @p112)) % 150.97/151.37 (step @p182 :rule aci_norm :args ((= @t39 @t38))) % 150.97/151.37 (step @p183 :rule trans :premises (@p182 @p181)) % 150.97/151.37 (step @p184 :rule cong :premises (@p183 @p68) :args (@t40)) % 150.97/151.37 (step @p185 :rule cong :premises (@p184) :args (@t42)) % 150.97/151.37 (step @p186 :rule trans :premises (@p185 @p67)) % 150.97/151.37 (step @p187 :rule refl :args (@t123)) % 150.97/151.37 (step @p188 :rule refl :args (@t43)) % 150.97/151.37 (step @p189 :rule cong :premises (@p188 @p187) :args ((= @t43 @t123))) % 150.97/151.37 (step @p190 :rule symm :premises (@p189)) % 150.97/151.37 (step @p191 :rule eq_resolve :premises (@p188 @p190)) % 150.97/151.37 (step @p192 :rule nary_cong :premises (@p62 @p191) :args (@t192)) % 150.97/151.37 (step @p193 :rule cong :premises (@p192) :args ((forall @t41 @t192))) % 150.97/151.37 (step @p194 :rule bool-impl-elim :args (@t128 @t43)) % 150.97/151.37 (step @p195 :rule cong :premises (@p194) :args ((forall @t41 (=> @t128 @t43)))) % 150.97/151.37 (step @p196 :rule trans :premises (@p195 @p193)) % 150.97/151.37 (step @p197 :rule refl :args (@t43)) % 150.97/151.37 (step @p198 :rule cong :premises (@p183 @p197) :args (@t44)) % 150.97/151.37 (step @p199 :rule cong :premises (@p198) :args (@t45)) % 150.97/151.37 (step @p200 :rule trans :premises (@p199 @p196)) % 150.97/151.37 (step @p201 :rule refl :args (@t132)) % 150.97/151.37 (step @p202 :rule refl :args (@t46)) % 150.97/151.37 (step @p203 :rule cong :premises (@p202 @p201) :args ((= @t46 @t132))) % 150.97/151.37 (step @p204 :rule symm :premises (@p203)) % 150.97/151.37 (step @p205 :rule eq_resolve :premises (@p202 @p204)) % 150.97/151.37 (step @p206 :rule nary_cong :premises (@p62 @p205) :args (@t193)) % 150.97/151.37 (step @p207 :rule cong :premises (@p206) :args ((forall @t41 @t193))) % 150.97/151.37 (step @p208 :rule bool-impl-elim :args (@t128 @t46)) % 150.97/151.37 (step @p209 :rule cong :premises (@p208) :args ((forall @t41 (=> @t128 @t46)))) % 150.97/151.37 (step @p210 :rule trans :premises (@p209 @p207)) % 150.97/151.37 (step @p211 :rule refl :args (@t46)) % 150.97/151.37 (step @p212 :rule cong :premises (@p183 @p211) :args (@t47)) % 150.97/151.37 (step @p213 :rule cong :premises (@p212) :args (@t48)) % 150.97/151.37 (step @p214 :rule trans :premises (@p213 @p210)) % 150.97/151.37 (step @p215 :rule nary_cong :premises (@p214 @p200) :args (@t49)) % 150.97/151.37 (step @p216 :rule cong :premises (@p215 @p186) :args (@t50)) % 150.97/151.37 (step @p217 :rule cong :premises (@p216) :args (@t52)) % 150.97/151.37 (step @p218 :rule trans :premises (@p217 @p36)) % 150.97/151.37 (step @p219 :rule quant-merge-prenex :args ((= (forall @t66 @t195) @t147))) % 150.97/151.37 (step @p220 :rule alpha_equiv :args (@t196 (@list @t104) (@list @t5))) % 150.97/151.37 (step @p221 :rule refl :args (@t143)) % 150.97/151.37 (step @p222 :rule refl :args (@t145)) % 150.97/151.37 (step @p223 :rule nary_cong :premises (@p222 @p221 @p220) :args (@t197)) % 150.97/151.37 (step @p224 :rule quant-miniscope-or :args ((= @t195 @t197))) % 150.97/151.37 (step @p225 :rule trans :premises (@p224 @p223)) % 150.97/151.37 (step @p226 :rule symm :premises (@p225)) % 150.97/151.37 (step @p227 :rule cong :premises (@p226) :args ((forall @t66 (or @t145 @t143 @t198)))) % 150.97/151.37 (step @p228 :rule trans :premises (@p227 @p219)) % 150.97/151.37 (step @p229 :rule refl :args (@t198)) % 150.97/151.37 (step @p230 :rule refl :args (@t144)) % 150.97/151.37 (step @p231 :rule refl :args (@t63)) % 150.97/151.37 (step @p232 :rule cong :premises (@p231 @p230) :args ((= @t63 @t144))) % 150.97/151.37 (step @p233 :rule symm :premises (@p232)) % 150.97/151.37 (step @p234 :rule eq_resolve :premises (@p231 @p233)) % 150.97/151.37 (step @p235 :rule cong :premises (@p234) :args (@t199)) % 150.97/151.37 (step @p236 :rule nary_cong :premises (@p235 @p221 @p229) :args (@t200)) % 150.97/151.37 (step @p237 :rule cong :premises (@p236) :args ((forall @t66 @t200))) % 150.97/151.37 (step @p238 :rule trans :premises (@p237 @p228)) % 150.97/151.37 (step @p239 :rule aci_norm :args ((= (or (or @t199 @t143) @t198) @t200))) % 150.97/151.37 (step @p240 :rule bool-and-de-morgan :args (@t63 @t142 true)) % 150.97/151.37 (step @p241 :rule nary_cong :premises (@p240 @p229) :args ((or (not @t201) @t198))) % 150.97/151.37 (step @p242 :rule trans :premises (@p241 @p239)) % 150.97/151.37 (step @p243 :rule bool-impl-elim :args (@t201 @t198)) % 150.97/151.37 (step @p244 :rule trans :premises (@p243 @p242)) % 150.97/151.37 (step @p245 :rule cong :premises (@p244) :args ((forall @t66 (=> @t201 @t198)))) % 150.97/151.37 (step @p246 :rule trans :premises (@p245 @p238)) % 150.97/151.37 (step @p247 :rule refl :args (@t141)) % 150.97/151.37 (step @p248 :rule refl :args (@t54)) % 150.97/151.37 (step @p249 :rule cong :premises (@p248 @p247) :args ((= @t54 @t141))) % 150.97/151.37 (step @p250 :rule symm :premises (@p249)) % 150.97/151.37 (step @p251 :rule eq_resolve :premises (@p248 @p250)) % 150.97/151.37 (step @p252 :rule cong :premises (@p251) :args (@t56)) % 150.97/151.37 (step @p253 :rule refl :args ((_ @t53 @t57))) % 150.97/151.37 (step @p254 :rule refl :args (@t138)) % 150.97/151.37 (step @p255 :rule cong :premises (@p254) :args (@t139)) % 150.97/151.37 (step @p256 :rule trans :premises (@p255 @p253)) % 150.97/151.37 (step @p257 :rule refl :args (@t53)) % 150.97/151.37 (step @p258 :rule ho_cong :premises (@p257 @p254)) % 150.97/151.37 (step @p259 :rule cong :premises (@p258 @p256) :args ((= (_ @t53 @t138) @t139))) % 150.97/151.37 (step @p260 :rule symm :premises (@p259)) % 150.97/151.37 (step @p261 :rule refl :args (@t58)) % 150.97/151.37 (step @p262 :rule eq_resolve :premises (@p261 @p260)) % 150.97/151.37 (step @p263 :rule refl :args (@t57)) % 150.97/151.37 (step @p264 :rule cong :premises (@p263 @p254) :args ((= @t57 @t138))) % 150.97/151.37 (step @p265 :rule symm :premises (@p264)) % 150.97/151.37 (step @p266 :rule eq_resolve :premises (@p263 @p265)) % 150.97/151.37 (step @p267 :rule ho_cong :premises (@p257 @p266)) % 150.97/151.37 (step @p268 :rule trans :premises (@p267 @p262)) % 150.97/151.37 (step @p269 :rule refl :args (@t140)) % 150.97/151.37 (step @p270 :rule refl :args (@t59)) % 150.97/151.37 (step @p271 :rule cong :premises (@p270 @p269) :args ((= @t59 @t140))) % 150.97/151.37 (step @p272 :rule symm :premises (@p271)) % 150.97/151.37 (step @p273 :rule eq_resolve :premises (@p270 @p272)) % 150.97/151.37 (step @p274 :rule cong :premises (@p273) :args (@t202)) % 150.97/151.37 (step @p275 :rule cong :premises (@p251) :args (@t203)) % 150.97/151.37 (step @p276 :rule nary_cong :premises (@p275 @p274 @p268) :args (@t204)) % 150.97/151.37 (step @p277 :rule cong :premises (@p276) :args ((forall @t61 @t204))) % 150.97/151.37 (step @p278 :rule aci_norm :args ((= (or (or @t203 @t202) @t58) @t204))) % 150.97/151.37 (step @p279 :rule bool-and-de-morgan :args (@t54 @t59 true)) % 150.97/151.37 (step @p280 :rule nary_cong :premises (@p279 @p261) :args ((or (not @t60) @t58))) % 150.97/151.37 (step @p281 :rule trans :premises (@p280 @p278)) % 150.97/151.37 (step @p282 :rule bool-impl-elim :args (@t60 @t58)) % 150.97/151.37 (step @p283 :rule trans :premises (@p282 @p281)) % 150.97/151.37 (step @p284 :rule cong :premises (@p283) :args (@t62)) % 150.97/151.37 (step @p285 :rule trans :premises (@p284 @p277)) % 150.97/151.37 (step @p286 :rule refl :args (@t63)) % 150.97/151.37 (step @p287 :rule nary_cong :premises (@p286 @p285) :args (@t64)) % 150.97/151.37 (step @p288 :rule cong :premises (@p287 @p252) :args (@t65)) % 150.97/151.37 (step @p289 :rule cong :premises (@p288) :args (@t67)) % 150.97/151.37 (step @p290 :rule trans :premises (@p289 @p246)) % 150.97/151.37 (step @p291 :rule refl :args (@t68)) % 150.97/151.37 (step @p292 :rule cong :premises (@p57 @p53) :args (@t69)) % 150.97/151.37 (step @p293 :rule cong :premises (@p292) :args (@t205)) % 150.97/151.37 (step @p294 :rule nary_cong :premises (@p293 @p291) :args (@t206)) % 150.97/151.37 (step @p295 :rule cong :premises (@p294) :args ((forall @t51 @t206))) % 150.97/151.37 (step @p296 :rule bool-impl-elim :args (@t69 @t68)) % 150.97/151.37 (step @p297 :rule cong :premises (@p296) :args (@t70)) % 150.97/151.37 (step @p298 :rule trans :premises (@p297 @p295)) % 150.97/151.37 (step @p299 :rule refl :args (tptp.c0)) % 150.97/151.37 (step @p300 :rule cong :premises (@p299 @p266) :args (@t207)) % 150.97/151.37 (step @p301 :rule cong :premises (@p300) :args (@t208)) % 150.97/151.37 (step @p302 :rule cong :premises (@p301) :args ((forall @t61 @t208))) % 150.97/151.37 (step @p303 :rule eq-symm :args (@t57 tptp.c0)) % 150.97/151.37 (step @p304 :rule cong :premises (@p303) :args (@t71)) % 150.97/151.37 (step @p305 :rule cong :premises (@p304) :args (@t72)) % 150.97/151.37 (step @p306 :rule trans :premises (@p305 @p302)) % 150.97/151.37 (step @p307 :rule nary_cong :premises (@p306 @p298 @p290) :args (@t73)) % 150.97/151.37 (step @p308 :rule cong :premises (@p307 @p218) :args (@t74)) % 150.97/151.37 (step @p309 :rule cong :premises (@p308) :args (@t75)) % 150.97/151.37 (step @p310 :rule trans :premises (@p309 @p14 @p13)) % 150.97/151.37 (step @p311 :rule eq_resolve :premises (@p1 @p310)) % 150.97/151.37 (step @p312 :rule not_implies_elim2 :premises (@p311)) % 150.97/151.37 (step @p313 :rule skolemize :premises (@p312)) % 150.97/151.37 (step @p314 :rule bool-double-not-elim :args (@t211)) % 150.97/151.37 (step @p315 :rule refl :args (@t223)) % 150.97/151.37 (step @p316 :rule nary_cong :premises (@p315 @p314) :args ((or @t223 (not @t220)))) % 150.97/151.37 (step @p317 :rule cnf_or_neg :args (@t223 1)) % 150.97/151.37 (step @p318 :rule eq_resolve :premises (@p317 @p316)) % 150.97/151.37 (step @p319 :rule reordering :premises (@p318) :args ((or @t211 @t223))) % 150.97/151.37 (step @p320 :rule chain_m_resolution :premises (@p319 @p313) :args (@t211 @t224 @t225)) % 150.97/151.37 (step @p321 :rule bool-double-not-elim :args (@t218)) % 150.97/151.37 (step @p322 :rule nary_cong :premises (@p315 @p321) :args ((or @t223 (not @t219)))) % 150.97/151.37 (step @p323 :rule cnf_or_neg :args (@t223 2)) % 150.97/151.37 (step @p324 :rule eq_resolve :premises (@p323 @p322)) % 150.97/151.37 (step @p325 :rule reordering :premises (@p324) :args ((or @t218 @t223))) % 150.97/151.37 (step @p326 :rule chain_m_resolution :premises (@p325 @p313) :args (@t218 @t224 @t225)) % 150.97/151.37 (step @p327 :rule refl :args (@t217)) % 150.97/151.37 (step @p328 :rule aci_norm :args ((= (or false false false @t229 @t227) @t230))) % 150.97/151.37 (step @p329 :rule refl :args (@t227)) % 150.97/151.37 (step @p330 :rule refl :args (@t229)) % 150.97/151.37 (step @p331 :rule evaluate :args ((not true))) % 150.97/151.37 (step @p332 :rule eq-refl :args (@t213)) % 150.97/151.37 (step @p333 :rule cong :premises (@p332) :args (@t231)) % 150.97/151.37 (step @p334 :rule trans :premises (@p333 @p331)) % 150.97/151.37 (step @p335 :rule eq-refl :args (@t215)) % 150.97/151.37 (step @p336 :rule cong :premises (@p335) :args (@t232)) % 150.97/151.37 (step @p337 :rule trans :premises (@p336 @p331)) % 150.97/151.37 (step @p338 :rule nary_cong :premises (@p337 @p334 @p334 @p330 @p329) :args (@t233)) % 150.97/151.37 (step @p339 :rule trans :premises (@p338 @p328)) % 150.97/151.37 (step @p340 :rule refl :args (@t234)) % 150.97/151.37 (step @p341 :rule aci_norm :args ((= (or @t235 false) @t235))) % 150.97/151.37 (step @p342 :rule refl :args (@t235)) % 150.97/151.37 (step @p343 :rule nary_cong :premises (@p342 @p334) :args (@t236)) % 150.97/151.37 (step @p344 :rule trans :premises (@p343 @p341)) % 150.97/151.37 (step @p345 :rule nary_cong :premises (@p344 @p340 @p339) :args (@t237)) % 150.97/151.37 (step @p346 :rule nary_cong :premises (@p345 @p327) :args (@t238)) % 150.97/151.37 (step @p347 :rule refl :args (@t218)) % 150.97/151.37 (step @p348 :rule cong :premises (@p347 @p346) :args ((=> @t218 @t238))) % 150.97/151.37 (assume-push @p386 @t218) % 150.97/151.37 (step @p350 :rule instantiate :premises (@p326) :args ((@list @t215 @t213 @t213 @t214 @t210 @t212 @t209 @t212 @t209))) % 150.97/151.37 (step-pop @p387 :rule scope :premises (@p350)) % 150.97/151.37 (step @p351 :rule process_scope :premises (@p387) :args (@t238)) % 150.97/151.37 (step @p353 :rule eq_resolve :premises (@p351 @p348)) % 150.97/151.37 (step @p354 :rule implies_elim :premises (@p353)) % 150.97/151.37 (step @p355 :rule chain_m_resolution :premises (@p354 @p326) :args (@t240 @t241 (@list @t218))) % 150.97/151.37 (step @p356 :rule cnf_or_neg :args (@t223 3)) % 150.97/151.37 (step @p357 :rule chain_m_resolution :premises (@p356 @p313) :args ((not @t217) @t224 @t225)) % 150.97/151.37 (step @p358 :rule cnf_or_pos :args (@t240)) % 150.97/151.37 (step @p359 :rule reordering :premises (@p358) :args ((or @t217 @t239 (not @t240)))) % 150.97/151.37 (step @p360 :rule chain_m_resolution :premises (@p359 @p357 @p355) :args (@t239 @t242 (@list @t217 @t240))) % 150.97/151.37 (step @p361 :rule cnf_and_pos :args (@t239 2)) % 150.97/151.37 (step @p362 :rule reordering :premises (@p361) :args ((or @t230 (not @t239)))) % 150.97/151.37 (step @p363 :rule chain_m_resolution :premises (@p362 @p360) :args (@t230 @t241 (@list @t239))) % 150.97/151.37 (step @p364 :rule bool-double-not-elim :args (@t221)) % 150.97/151.37 (step @p365 :rule nary_cong :premises (@p315 @p364) :args ((or @t223 (not @t222)))) % 150.97/151.37 (step @p366 :rule cnf_or_neg :args (@t223 0)) % 150.97/151.37 (step @p367 :rule eq_resolve :premises (@p366 @p365)) % 150.97/151.37 (step @p368 :rule reordering :premises (@p367) :args ((or @t221 @t223))) % 150.97/151.37 (step @p369 :rule chain_m_resolution :premises (@p368 @p313) :args (@t221 @t224 @t225)) % 150.97/151.37 (step @p370 :rule instantiate :premises (@p369) :args (@t243)) % 150.97/151.37 (step @p371 :rule cnf_or_pos :args (@t244)) % 150.97/151.37 (step @p372 :rule reordering :premises (@p371) :args ((or @t219 @t228 (not @t244)))) % 150.97/151.37 (step @p373 :rule chain_m_resolution :premises (@p372 @p326 @p370) :args (@t228 @t245 (@list @t218 @t244))) % 150.97/151.37 (step @p374 :rule cnf_or_pos :args (@t230)) % 150.97/151.37 (step @p375 :rule reordering :premises (@p374) :args ((or @t229 @t227 (not @t230)))) % 150.97/151.37 (step @p376 :rule chain_m_resolution :premises (@p375 @p373 @p363) :args (@t227 @t245 (@list @t228 @t230))) % 150.97/151.37 (step @p377 :rule cnf_or_pos :args (@t246)) % 150.97/151.37 (step @p378 :rule reordering :premises (@p377) :args ((or @t219 @t226 @t247))) % 150.97/151.37 (step @p379 :rule chain_m_resolution :premises (@p378 @p326 @p376) :args (@t247 (@list false true) (@list @t218 @t226))) % 150.97/151.37 (assume-push @p388 @t211) % 150.97/151.37 (step @p381 :rule instantiate :premises (@p320) :args (@t243)) % 150.97/151.37 (step-pop @p389 :rule scope :premises (@p381)) % 150.97/151.37 (step @p382 :rule process_scope :premises (@p389) :args (@t246)) % 150.97/151.37 (step @p384 :rule implies_elim :premises (@p382)) % 150.97/151.37 (step @p385 false :rule chain_m_resolution :premises (@p384 @p379 @p320) :args (false @t242 (@list @t246 @t211))) % 150.97/151.37 ) % 150.97/151.37 % SZS output end Proof % 150.97/151.37 % cvc5 exiting %------------------------------------------------------------------------------