%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX153_1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 09:07:17 AM UTC 2026 % Result : Theorem 204.19s 204.51s % Output : Proof 204.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX153_1 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n002.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 23:03:48 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.51 %----Proving TH0 % 204.19/204.51 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 204.19/204.51 --- 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... % 204.19/204.51 --- 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... % 204.19/204.51 --- Run --ho-elim --full-saturate-quant at 18s... % 204.19/204.51 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 204.19/204.51 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 12s... % 204.19/204.51 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 9s... % 204.19/204.51 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 6s... % 204.19/204.51 % SZS status Theorem % 204.19/204.51 % SZS output start Proof % 204.19/204.51 ( % 204.19/204.51 (declare-sort tptp.d_unsorted 0) % 204.19/204.51 (declare-sort $$unsorted 0) % 204.19/204.51 (declare-const tptp.d_unsorted_0 tptp.d_unsorted) % 204.19/204.51 (declare-const tptp.d2unsorted (-> tptp.d_unsorted $$unsorted)) % 204.19/204.51 (declare-const tptp.so (-> (-> $$unsorted $$unsorted Bool) Bool)) % 204.19/204.51 (declare-const tptp.total (-> (-> $$unsorted $$unsorted Bool) Bool)) % 204.19/204.51 (declare-const tptp.term (-> (-> $$unsorted $$unsorted Bool) Bool)) % 204.19/204.51 (declare-const tptp.ind (-> (-> $$unsorted $$unsorted Bool) Bool)) % 204.19/204.51 (declare-const tptp.innf (-> (-> $$unsorted $$unsorted Bool) $$unsorted Bool)) % 204.19/204.51 (declare-const tptp.nfof (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)) % 204.19/204.51 (declare-const tptp.norm (-> (-> $$unsorted $$unsorted Bool) Bool)) % 204.19/204.51 (declare-const tptp.join (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)) % 204.19/204.51 (declare-const tptp.lconfl (-> (-> $$unsorted $$unsorted Bool) Bool)) % 204.19/204.51 (declare-const tptp.subrel (-> (-> $$unsorted $$unsorted Bool) (-> $$unsorted $$unsorted Bool) Bool)) % 204.19/204.51 (declare-const tptp.sconfl (-> (-> $$unsorted $$unsorted Bool) Bool)) % 204.19/204.51 (declare-const tptp.confl (-> (-> $$unsorted $$unsorted Bool) Bool)) % 204.19/204.51 (declare-const tptp.inv (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)) % 204.19/204.51 (declare-const tptp.po (-> (-> $$unsorted $$unsorted Bool) Bool)) % 204.19/204.51 (declare-const tptp.cr (-> (-> $$unsorted $$unsorted Bool) Bool)) % 204.19/204.51 (declare-const tptp.trsc (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)) % 204.19/204.51 (declare-const tptp.trc (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)) % 204.19/204.51 (declare-const tptp.tc (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)) % 204.19/204.51 (declare-const tptp.trans (-> (-> $$unsorted $$unsorted Bool) Bool)) % 204.19/204.51 (declare-const tptp.sc (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)) % 204.19/204.51 (declare-const tptp.asymm (-> (-> $$unsorted $$unsorted Bool) Bool)) % 204.19/204.51 (declare-const tptp.antisymm (-> (-> $$unsorted $$unsorted Bool) Bool)) % 204.19/204.51 (declare-const tptp.symm (-> (-> $$unsorted $$unsorted Bool) Bool)) % 204.19/204.51 (declare-const tptp.rc (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)) % 204.19/204.51 (declare-const tptp.irrefl (-> (-> $$unsorted $$unsorted Bool) Bool)) % 204.19/204.51 (declare-const tptp.refl (-> (-> $$unsorted $$unsorted Bool) Bool)) % 204.19/204.51 (declare-const tptp.mono (-> (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool) Bool)) % 204.19/204.51 (declare-const tptp.infl (-> (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool) Bool)) % 204.19/204.51 (declare-const tptp.idem (-> (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool) Bool)) % 204.19/204.51 (define @t1 () (@var "Y" $$unsorted)) % 204.19/204.51 (define @t2 () (@var "X" $$unsorted)) % 204.19/204.51 (define @t3 () (@var "Bound_variable_1538" (-> $$unsorted $$unsorted Bool))) % 204.19/204.51 (define @t4 () (@var "Bound_variable_663" $$unsorted)) % 204.19/204.51 (define @t5 () (@var "Bound_variable_661" $$unsorted)) % 204.19/204.51 (define @t6 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 204.19/204.51 (define @t7 () (_ (_ @t6 @t5) @t4)) % 204.19/204.51 (define @t8 () (not @t7)) % 204.19/204.51 (define @t9 () (@list @t5 @t4)) % 204.19/204.51 (define @t10 () (@var "Bound_variable_1106" $$unsorted)) % 204.19/204.51 (define @t11 () (@var "Bound_variable_672" $$unsorted)) % 204.19/204.51 (define @t12 () (_ @t3 @t11)) % 204.19/204.51 (define @t13 () (@var "Bound_variable_674" $$unsorted)) % 204.19/204.51 (define @t14 () (@list @t11 @t13 @t10)) % 204.19/204.51 (define @t15 () (@var "Bound_variable_1522" (-> $$unsorted $$unsorted Bool))) % 204.19/204.51 (define @t16 () (@var "Bound_variable_1125" $$unsorted)) % 204.19/204.51 (define @t17 () (_ @t15 @t11)) % 204.19/204.51 (define @t18 () (@list @t11 @t13 @t16)) % 204.19/204.51 (define @t19 () (@var "Bound_variable_1218" $$unsorted)) % 204.19/204.51 (define @t20 () (@var "S" (-> $$unsorted $$unsorted Bool))) % 204.19/204.51 (define @t21 () (_ @t20 @t2)) % 204.19/204.51 (define @t22 () (_ @t21 @t19)) % 204.19/204.51 (define @t23 () (_ (_ @t20 @t5) @t4)) % 204.19/204.51 (define @t24 () (or @t8 @t23)) % 204.19/204.51 (define @t25 () (forall @t9 @t24)) % 204.19/204.51 (define @t26 () (not @t25)) % 204.19/204.51 (define @t27 () (_ @t20 @t11)) % 204.19/204.51 (define @t28 () (_ @t27 @t10)) % 204.19/204.51 (define @t29 () (_ @t20 @t13)) % 204.19/204.51 (define @t30 () (_ @t29 @t10)) % 204.19/204.51 (define @t31 () (not @t30)) % 204.19/204.51 (define @t32 () (_ @t27 @t13)) % 204.19/204.51 (define @t33 () (not @t32)) % 204.19/204.51 (define @t34 () (or @t33 @t31 @t28)) % 204.19/204.51 (define @t35 () (forall @t14 @t34)) % 204.19/204.51 (define @t36 () (not @t35)) % 204.19/204.51 (define @t37 () (or @t36 @t26 @t22)) % 204.19/204.51 (define @t38 () (@list @t20)) % 204.19/204.51 (define @t39 () (forall @t38 @t37)) % 204.19/204.51 (define @t40 () (not @t39)) % 204.19/204.51 (define @t41 () (_ @t20 @t1)) % 204.19/204.51 (define @t42 () (_ @t41 @t19)) % 204.19/204.51 (define @t43 () (_ @t27 @t16)) % 204.19/204.51 (define @t44 () (_ @t29 @t16)) % 204.19/204.51 (define @t45 () (not @t44)) % 204.19/204.51 (define @t46 () (or @t33 @t45 @t43)) % 204.19/204.51 (define @t47 () (forall @t18 @t46)) % 204.19/204.51 (define @t48 () (not @t47)) % 204.19/204.51 (define @t49 () (or @t48 @t26 @t42)) % 204.19/204.51 (define @t50 () (forall @t38 @t49)) % 204.19/204.51 (define @t51 () (not @t50)) % 204.19/204.51 (define @t52 () (or @t51 @t40)) % 204.19/204.51 (define @t53 () (@list @t19)) % 204.19/204.51 (define @t54 () (forall @t53 @t52)) % 204.19/204.51 (define @t55 () (= @t2 @t1)) % 204.19/204.51 (define @t56 () (_ @t21 @t1)) % 204.19/204.51 (define @t57 () (@var "Z" $$unsorted)) % 204.19/204.51 (define @t58 () (_ @t27 @t57)) % 204.19/204.51 (define @t59 () (_ @t29 @t57)) % 204.19/204.51 (define @t60 () (not @t59)) % 204.19/204.51 (define @t61 () (or @t33 @t60 @t58)) % 204.19/204.51 (define @t62 () (@list @t11 @t13 @t57)) % 204.19/204.51 (define @t63 () (forall @t62 @t61)) % 204.19/204.51 (define @t64 () (not @t63)) % 204.19/204.51 (define @t65 () (forall @t38 (or @t64 @t26 @t56))) % 204.19/204.51 (define @t66 () (not @t65)) % 204.19/204.51 (define @t67 () (_ @t41 @t2)) % 204.19/204.51 (define @t68 () (forall @t38 (or @t64 @t26 @t67))) % 204.19/204.51 (define @t69 () (not @t55)) % 204.19/204.51 (define @t70 () (@list @t6)) % 204.19/204.51 (define @t71 () (@var "Bound_variable_1460" (-> $$unsorted $$unsorted Bool))) % 204.19/204.51 (define @t72 () (_ (_ @t71 @t57) @t1)) % 204.19/204.51 (define @t73 () (_ (_ @t71 @t5) @t4)) % 204.19/204.51 (define @t74 () (or @t8 @t73)) % 204.19/204.51 (define @t75 () (forall @t9 @t74)) % 204.19/204.51 (define @t76 () (not @t75)) % 204.19/204.51 (define @t77 () (_ @t71 @t11)) % 204.19/204.51 (define @t78 () (_ @t77 @t10)) % 204.19/204.51 (define @t79 () (_ (_ @t71 @t13) @t10)) % 204.19/204.51 (define @t80 () (not @t79)) % 204.19/204.51 (define @t81 () (_ @t77 @t13)) % 204.19/204.51 (define @t82 () (not @t81)) % 204.19/204.51 (define @t83 () (or @t82 @t80 @t78)) % 204.19/204.51 (define @t84 () (forall @t14 @t83)) % 204.19/204.51 (define @t85 () (not @t84)) % 204.19/204.51 (define @t86 () (@var "Bound_variable_1444" (-> $$unsorted $$unsorted Bool))) % 204.19/204.51 (define @t87 () (_ (_ @t86 @t1) @t57)) % 204.19/204.51 (define @t88 () (_ (_ @t86 @t5) @t4)) % 204.19/204.51 (define @t89 () (or @t8 @t88)) % 204.19/204.51 (define @t90 () (forall @t9 @t89)) % 204.19/204.51 (define @t91 () (not @t90)) % 204.19/204.51 (define @t92 () (_ @t86 @t11)) % 204.19/204.51 (define @t93 () (_ @t92 @t16)) % 204.19/204.51 (define @t94 () (_ (_ @t86 @t13) @t16)) % 204.19/204.51 (define @t95 () (not @t94)) % 204.19/204.51 (define @t96 () (_ @t92 @t13)) % 204.19/204.51 (define @t97 () (not @t96)) % 204.19/204.51 (define @t98 () (or @t97 @t95 @t93)) % 204.19/204.51 (define @t99 () (forall @t18 @t98)) % 204.19/204.51 (define @t100 () (not @t99)) % 204.19/204.51 (define @t101 () (_ (_ @t20 @t57) @t19)) % 204.19/204.51 (define @t102 () (or @t36 @t26 @t101)) % 204.19/204.51 (define @t103 () (forall @t38 @t102)) % 204.19/204.51 (define @t104 () (not @t103)) % 204.19/204.51 (define @t105 () (or @t51 @t104)) % 204.19/204.51 (define @t106 () (forall @t53 @t105)) % 204.19/204.51 (define @t107 () (not @t106)) % 204.19/204.51 (define @t108 () (= @t1 @t57)) % 204.19/204.51 (define @t109 () (@var "Bound_variable_1422" $$unsorted)) % 204.19/204.51 (define @t110 () (_ @t27 @t109)) % 204.19/204.51 (define @t111 () (_ @t29 @t109)) % 204.19/204.51 (define @t112 () (not @t111)) % 204.19/204.51 (define @t113 () (or @t33 @t112 @t110)) % 204.19/204.51 (define @t114 () (@list @t11 @t13 @t109)) % 204.19/204.51 (define @t115 () (forall @t114 @t113)) % 204.19/204.51 (define @t116 () (not @t115)) % 204.19/204.51 (define @t117 () (or @t116 @t26 @t56)) % 204.19/204.51 (define @t118 () (forall @t38 @t117)) % 204.19/204.51 (define @t119 () (not @t118)) % 204.19/204.51 (define @t120 () (and @t69 @t119)) % 204.19/204.51 (define @t121 () (_ @t21 @t57)) % 204.19/204.51 (define @t122 () (or @t36 @t26 @t121)) % 204.19/204.51 (define @t123 () (forall @t38 @t122)) % 204.19/204.51 (define @t124 () (not @t123)) % 204.19/204.51 (define @t125 () (= @t2 @t57)) % 204.19/204.51 (define @t126 () (not @t125)) % 204.19/204.51 (define @t127 () (and @t126 @t124)) % 204.19/204.51 (define @t128 () (or @t127 @t120 @t108 @t107 @t100 @t91 @t87 @t85 @t76 @t72)) % 204.19/204.51 (define @t129 () (@list @t2 @t1 @t57 @t86 @t71)) % 204.19/204.51 (define @t130 () (forall @t129 @t128)) % 204.19/204.51 (define @t131 () (lambda @t70 @t130)) % 204.19/204.51 (define @t132 () (= tptp.confl @t131)) % 204.19/204.51 (define @t133 () (@var "Bound_variable_1387" (-> $$unsorted $$unsorted Bool))) % 204.19/204.51 (define @t134 () (_ @t133 @t11)) % 204.19/204.51 (define @t135 () (@var "Bound_variable_1371" (-> $$unsorted $$unsorted Bool))) % 204.19/204.51 (define @t136 () (_ @t135 @t11)) % 204.19/204.51 (define @t137 () (@var "Bound_variable_1347" $$unsorted)) % 204.19/204.51 (define @t138 () (_ @t6 @t2)) % 204.19/204.51 (define @t139 () (_ @t138 @t57)) % 204.19/204.51 (define @t140 () (not @t139)) % 204.19/204.51 (define @t141 () (@var "Bound_variable_1309" (-> $$unsorted $$unsorted Bool))) % 204.19/204.51 (define @t142 () (_ @t141 @t11)) % 204.19/204.51 (define @t143 () (@var "Bound_variable_1293" (-> $$unsorted $$unsorted Bool))) % 204.19/204.51 (define @t144 () (_ @t143 @t11)) % 204.19/204.51 (define @t145 () (_ @t138 @t1)) % 204.19/204.51 (define @t146 () (not @t145)) % 204.19/204.51 (define @t147 () (or @t36 @t26 @t56)) % 204.19/204.51 (define @t148 () (forall @t38 @t147)) % 204.19/204.51 (define @t149 () (not @t148)) % 204.19/204.51 (define @t150 () (or @t48 @t26 @t67)) % 204.19/204.51 (define @t151 () (forall @t38 @t150)) % 204.19/204.51 (define @t152 () (not @t151)) % 204.19/204.51 (define @t153 () (and @t69 @t152 @t149 @t54)) % 204.19/204.51 (define @t154 () (not @t153)) % 204.19/204.51 (define @t155 () (@list @t6 @t2 @t1)) % 204.19/204.51 (define @t156 () (lambda @t155 @t154)) % 204.19/204.51 (define @t157 () (= tptp.join @t156)) % 204.19/204.51 (define @t158 () (@var "Bound_variable_985" $$unsorted)) % 204.19/204.51 (define @t159 () (@var "Bound_variable_1049" $$unsorted)) % 204.19/204.51 (define @t160 () (@list @t158)) % 204.19/204.51 (define @t161 () (@var "Bound_variable_1075" $$unsorted)) % 204.19/204.51 (define @t162 () (@list @t1)) % 204.19/204.51 (define @t163 () (@var "Bound_variable_917" $$unsorted)) % 204.19/204.51 (define @t164 () (@var "P" (-> $$unsorted Bool))) % 204.19/204.51 (define @t165 () (@list @t2)) % 204.19/204.51 (define @t166 () (@var "A" (-> $$unsorted Bool))) % 204.19/204.51 (define @t167 () (@var "Bound_variable_862" $$unsorted)) % 204.19/204.51 (define @t168 () (_ @t6 @t1)) % 204.19/204.51 (define @t169 () (_ @t168 @t2)) % 204.19/204.51 (define @t170 () (@list @t2 @t1)) % 204.19/204.51 (define @t171 () (@list @t2 @t1 @t57)) % 204.19/204.51 (define @t172 () (forall @t171 (or @t146 (not (_ @t168 @t57)) @t139))) % 204.19/204.51 (define @t173 () (not @t169)) % 204.19/204.51 (define @t174 () (forall @t170 (or @t146 @t173))) % 204.19/204.51 (define @t175 () (forall @t170 (or @t146 @t173 @t55))) % 204.19/204.51 (define @t176 () (_ @t138 @t2)) % 204.19/204.51 (define @t177 () (forall @t165 @t176)) % 204.19/204.51 (define @t178 () (@var "Flatten_var_1" $$unsorted)) % 204.19/204.51 (define @t179 () (@var "Flatten_var_0" $$unsorted)) % 204.19/204.51 (define @t180 () (_ (_ @t20 @t179) @t178)) % 204.19/204.51 (define @t181 () (or @t64 @t26 @t180)) % 204.19/204.51 (define @t182 () (forall @t38 @t181)) % 204.19/204.51 (define @t183 () (= @t179 @t178)) % 204.19/204.51 (define @t184 () (@list @t6 @t179 @t178)) % 204.19/204.51 (define @t185 () (or @t183 @t182)) % 204.19/204.51 (define @t186 () (lambda @t184 @t185)) % 204.19/204.51 (define @t187 () (= tptp.trc @t186)) % 204.19/204.51 (define @t188 () (@var "Bound_variable_512" $$unsorted)) % 204.19/204.51 (define @t189 () (@var "Bound_variable_510" $$unsorted)) % 204.19/204.51 (define @t190 () (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool))) % 204.19/204.51 (define @t191 () (_ @t190 @t6)) % 204.19/204.51 (define @t192 () (forall @t170 (or @t146 @t56))) % 204.19/204.51 (define @t193 () (@list @t190)) % 204.19/204.51 (define @t194 () (@var "DU2" tptp.d_unsorted)) % 204.19/204.51 (define @t195 () (@var "DU1" tptp.d_unsorted)) % 204.19/204.51 (define @t196 () (@var "DU" tptp.d_unsorted)) % 204.19/204.51 (define @t197 () (@list @t196)) % 204.19/204.51 (define @t198 () (forall @t197 (= @t196 tptp.d_unsorted_0))) % 204.19/204.51 (define @t199 () (_ tptp.d2unsorted @t196)) % 204.19/204.51 (define @t200 () (@var "U" $$unsorted)) % 204.19/204.51 (define @t201 () (= @t200 @t199)) % 204.19/204.51 (define @t202 () (exists @t197 @t201)) % 204.19/204.51 (define @t203 () (@list @t200)) % 204.19/204.51 (define @t204 () (forall @t203 @t202)) % 204.19/204.51 (define @t205 () (_ (_ (_ tptp.join @t6) @t57) @t1)) % 204.19/204.51 (define @t206 () (_ (_ tptp.trc @t6) @t2)) % 204.19/204.51 (define @t207 () (_ @t206 @t1)) % 204.19/204.51 (define @t208 () (_ @t206 @t57)) % 204.19/204.51 (define @t209 () (and @t208 @t207)) % 204.19/204.51 (define @t210 () (forall @t171 (=> @t209 @t205))) % 204.19/204.51 (define @t211 () (lambda @t70 @t210)) % 204.19/204.51 (define @t212 () (= tptp.confl @t211)) % 204.19/204.51 (define @t213 () (not @t212)) % 204.19/204.51 (define @t214 () (@var "BOUND_VARIABLE_8555" (-> $$unsorted $$unsorted Bool))) % 204.19/204.51 (define @t215 () (_ @t214 @t57 @t1)) % 204.19/204.51 (define @t216 () (_ @t214 @t5 @t4)) % 204.19/204.51 (define @t217 () (@const 0 (-> $$unsorted $$unsorted Bool))) % 204.19/204.51 (define @t218 () (not (_ @t217 @t5 @t4))) % 204.19/204.51 (define @t219 () (not (forall @t14 (or (not (_ @t214 @t11 @t13)) (not (_ @t214 @t13 @t10)) (_ @t214 @t11 @t10))))) % 204.19/204.51 (define @t220 () (@var "BOUND_VARIABLE_8539" (-> $$unsorted $$unsorted Bool))) % 204.19/204.51 (define @t221 () (_ @t220 @t1 @t57)) % 204.19/204.51 (define @t222 () (_ @t220 @t5 @t4)) % 204.19/204.51 (define @t223 () (not (forall @t18 (or (not (_ @t220 @t11 @t13)) (not (_ @t220 @t13 @t16)) (_ @t220 @t11 @t16))))) % 204.19/204.51 (define @t224 () (_ @t20 @t57 @t19)) % 204.19/204.51 (define @t225 () (_ @t20 @t5 @t4)) % 204.19/204.51 (define @t226 () (not (forall @t9 (or @t218 @t225)))) % 204.19/204.51 (define @t227 () (_ @t20 @t11 @t10)) % 204.19/204.51 (define @t228 () (_ @t20 @t13 @t10)) % 204.19/204.51 (define @t229 () (_ @t20 @t11 @t13)) % 204.19/204.51 (define @t230 () (not @t229)) % 204.19/204.51 (define @t231 () (not (forall @t14 (or @t230 (not @t228) @t227)))) % 204.19/204.51 (define @t232 () (_ @t20 @t1 @t19)) % 204.19/204.51 (define @t233 () (_ @t20 @t11 @t16)) % 204.19/204.51 (define @t234 () (_ @t20 @t13 @t16)) % 204.19/204.51 (define @t235 () (not (forall @t18 (or @t230 (not @t234) @t233)))) % 204.19/204.51 (define @t236 () (not (forall @t53 (or (not (forall @t38 (or @t235 @t226 @t232))) (not (forall @t38 (or @t231 @t226 @t224))))))) % 204.19/204.51 (define @t237 () (_ @t20 @t2 @t1)) % 204.19/204.51 (define @t238 () (@var "BOUND_VARIABLE_8517" $$unsorted)) % 204.19/204.51 (define @t239 () (not (forall (@list @t11 @t13 @t238) (or @t230 (not (_ @t20 @t13 @t238)) (_ @t20 @t11 @t238))))) % 204.19/204.51 (define @t240 () (_ @t20 @t2 @t57)) % 204.19/204.51 (define @t241 () (@var "BOUND_VARIABLE_8480" $$unsorted)) % 204.19/204.51 (define @t242 () (not (forall (@list @t11 @t13 @t241) (or @t230 (not (_ @t20 @t13 @t241)) (_ @t20 @t11 @t241))))) % 204.19/204.51 (define @t243 () (@list @t2 @t1 @t57 @t220 @t214)) % 204.19/204.51 (define @t244 () (forall @t243 (or (and @t126 (not (forall @t38 (or @t242 @t226 @t240)))) (and @t69 (not (forall @t38 (or @t239 @t226 @t237)))) @t108 @t236 @t223 (not (forall @t9 (or @t218 @t222))) @t221 @t219 (not (forall @t9 (or @t218 @t216))) @t215))) % 204.19/204.51 (define @t245 () (@quantifiers_skolemize @t244 1)) % 204.19/204.51 (define @t246 () (tptp.d2unsorted @t196)) % 204.19/204.51 (define @t247 () (forall @t197 (not (= @t246 @t245)))) % 204.19/204.51 (define @t248 () (@quantifiers_skolemize @t247 0)) % 204.19/204.51 (define @t249 () (not @t201)) % 204.19/204.51 (define @t250 () (forall @t197 @t249)) % 204.19/204.51 (define @t251 () (not @t250)) % 204.19/204.51 (define @t252 () (@const 1 $$unsorted)) % 204.19/204.51 (define @t253 () (not (= @t252 @t246))) % 204.19/204.51 (define @t254 () (forall @t197 @t253)) % 204.19/204.51 (define @t255 () (not @t254)) % 204.19/204.51 (define @t256 () (forall @t203 (not (forall @t197 (not (= @t200 @t246)))))) % 204.19/204.51 (define @t257 () (forall @t197 (not (= @t246 @t252)))) % 204.19/204.51 (define @t258 () (not @t257)) % 204.19/204.51 (define @t259 () (@list false)) % 204.19/204.51 (define @t260 () (@list @t256)) % 204.19/204.51 (define @t261 () (@quantifiers_skolemize @t257 0)) % 204.19/204.51 (define @t262 () (tptp.d2unsorted @t261)) % 204.19/204.51 (define @t263 () (= @t252 @t262)) % 204.19/204.51 (define @t264 () (= @t262 @t252)) % 204.19/204.51 (define @t265 () (not (not @t264))) % 204.19/204.51 (define @t266 () (@list true)) % 204.19/204.51 (define @t267 () (@const 2 $$unsorted)) % 204.19/204.51 (define @t268 () (forall @t197 (not (= @t246 @t267)))) % 204.19/204.51 (define @t269 () (@quantifiers_skolemize @t268 0)) % 204.19/204.51 (define @t270 () (not (= @t267 @t246))) % 204.19/204.51 (define @t271 () (forall @t197 @t270)) % 204.19/204.51 (define @t272 () (not @t271)) % 204.19/204.51 (define @t273 () (not @t268)) % 204.19/204.51 (define @t274 () (tptp.d2unsorted @t269)) % 204.19/204.51 (define @t275 () (= @t267 @t274)) % 204.19/204.51 (define @t276 () (= @t274 @t267)) % 204.19/204.51 (define @t277 () (not (not @t276))) % 204.19/204.51 (define @t278 () (_ @t71 @t57 @t1)) % 204.19/204.51 (define @t279 () (_ @t71 @t5 @t4)) % 204.19/204.51 (define @t280 () (_ @t71 @t11 @t10)) % 204.19/204.51 (define @t281 () (_ @t71 @t13 @t10)) % 204.19/204.51 (define @t282 () (_ @t71 @t11 @t13)) % 204.19/204.51 (define @t283 () (not (forall @t14 (or (not @t282) (not @t281) @t280)))) % 204.19/204.51 (define @t284 () (_ @t86 @t1 @t57)) % 204.19/204.51 (define @t285 () (_ @t86 @t5 @t4)) % 204.19/204.51 (define @t286 () (_ @t86 @t11 @t16)) % 204.19/204.51 (define @t287 () (_ @t86 @t13 @t16)) % 204.19/204.51 (define @t288 () (_ @t86 @t11 @t13)) % 204.19/204.51 (define @t289 () (not (forall @t18 (or (not @t288) (not @t287) @t286)))) % 204.19/204.51 (define @t290 () (_ @t20 @t11 @t109)) % 204.19/204.51 (define @t291 () (_ @t20 @t13 @t109)) % 204.19/204.51 (define @t292 () (not (forall @t114 (or @t230 (not @t291) @t290)))) % 204.19/204.51 (define @t293 () (forall @t129 (or (and @t126 (not (forall @t38 (or @t231 @t226 @t240)))) (and @t69 (not (forall @t38 (or @t292 @t226 @t237)))) @t108 @t236 @t289 (not (forall @t9 (or @t218 @t285))) @t284 @t283 (not (forall @t9 (or @t218 @t279))) @t278))) % 204.19/204.51 (define @t294 () (@quantifiers_skolemize @t293 1)) % 204.19/204.51 (define @t295 () (not (= @t294 @t246))) % 204.19/204.51 (define @t296 () (forall @t197 @t295)) % 204.19/204.51 (define @t297 () (not @t296)) % 204.19/204.51 (define @t298 () (forall @t197 (not (= @t246 @t294)))) % 204.19/204.51 (define @t299 () (not @t298)) % 204.19/204.51 (define @t300 () (@quantifiers_skolemize @t298 0)) % 204.19/204.51 (define @t301 () (tptp.d2unsorted @t300)) % 204.19/204.51 (define @t302 () (= @t294 @t301)) % 204.19/204.51 (define @t303 () (= @t301 @t294)) % 204.19/204.51 (define @t304 () (not (not @t303))) % 204.19/204.51 (define @t305 () (tptp.d2unsorted @t248)) % 204.19/204.51 (define @t306 () (@quantifiers_skolemize @t244 2)) % 204.19/204.51 (define @t307 () (forall @t197 (not (= @t246 @t306)))) % 204.19/204.51 (define @t308 () (@quantifiers_skolemize @t307 0)) % 204.19/204.51 (define @t309 () (not (= @t306 @t246))) % 204.19/204.51 (define @t310 () (forall @t197 @t309)) % 204.19/204.51 (define @t311 () (not @t310)) % 204.19/204.51 (define @t312 () (not @t307)) % 204.19/204.51 (define @t313 () (tptp.d2unsorted @t308)) % 204.19/204.51 (define @t314 () (= @t306 @t313)) % 204.19/204.51 (define @t315 () (= @t313 @t306)) % 204.19/204.51 (define @t316 () (not (not @t315))) % 204.19/204.51 (define @t317 () (@quantifiers_skolemize @t244 0)) % 204.19/204.51 (define @t318 () (forall @t197 (not (= @t246 @t317)))) % 204.19/204.51 (define @t319 () (@quantifiers_skolemize @t318 0)) % 204.19/204.51 (define @t320 () (not (= @t317 @t246))) % 204.19/204.51 (define @t321 () (forall @t197 @t320)) % 204.19/204.51 (define @t322 () (not @t321)) % 204.19/204.51 (define @t323 () (not @t318)) % 204.19/204.51 (define @t324 () (tptp.d2unsorted @t319)) % 204.19/204.51 (define @t325 () (= @t317 @t324)) % 204.19/204.51 (define @t326 () (= @t324 @t317)) % 204.19/204.51 (define @t327 () (not (not @t326))) % 204.19/204.51 (define @t328 () (@list @t318)) % 204.19/204.51 (define @t329 () (not (= @t245 @t246))) % 204.19/204.51 (define @t330 () (forall @t197 @t329)) % 204.19/204.51 (define @t331 () (not @t330)) % 204.19/204.51 (define @t332 () (not @t247)) % 204.19/204.51 (define @t333 () (= @t245 @t305)) % 204.19/204.51 (define @t334 () (= @t305 @t245)) % 204.19/204.51 (define @t335 () (not (not @t334))) % 204.19/204.51 (define @t336 () (= tptp.d_unsorted_0 @t248)) % 204.19/204.51 (define @t337 () (= tptp.d_unsorted_0 @t319)) % 204.19/204.51 (define @t338 () (= tptp.d_unsorted_0 @t308)) % 204.19/204.51 (define @t339 () (= @t317 @t306)) % 204.19/204.51 (define @t340 () (= @t317 @t245)) % 204.19/204.51 (define @t341 () (= @t245 @t306)) % 204.19/204.51 (define @t342 () (and @t333 @t325 @t336 @t337 @t314 @t338)) % 204.19/204.51 (define @t343 () (not @t337)) % 204.19/204.51 (define @t344 () (not @t336)) % 204.19/204.51 (define @t345 () (not @t325)) % 204.19/204.51 (define @t346 () (@quantifiers_skolemize @t244 4)) % 204.19/204.51 (define @t347 () (@quantifiers_skolemize @t244 3)) % 204.19/204.51 (define @t348 () (or (and (not @t339) (not (forall @t38 (or @t242 @t226 (_ @t20 @t317 @t306))))) (and (not @t340) (not (forall @t38 (or @t239 @t226 (_ @t20 @t317 @t245))))) @t341 (not (forall @t53 (or (not (forall @t38 (or @t235 @t226 (_ @t20 @t245 @t19)))) (not (forall @t38 (or @t231 @t226 (_ @t20 @t306 @t19))))))) (not (forall @t18 (or (not (_ @t347 @t11 @t13)) (not (_ @t347 @t13 @t16)) (_ @t347 @t11 @t16)))) (not (forall @t9 (or @t218 (_ @t347 @t5 @t4)))) (_ @t347 @t245 @t306) (not (forall @t14 (or (not (_ @t346 @t11 @t13)) (not (_ @t346 @t13 @t10)) (_ @t346 @t11 @t10)))) (not (forall @t9 (or @t218 (_ @t346 @t5 @t4)))) (_ @t346 @t306 @t245))) % 204.19/204.51 (define @t349 () (not @t348)) % 204.19/204.51 (define @t350 () (not @t244)) % 204.19/204.51 (define @t351 () (_ @t6 @t5 @t4)) % 204.19/204.51 (define @t352 () (not @t351)) % 204.19/204.51 (define @t353 () (not (forall @t9 (or @t352 @t279)))) % 204.19/204.51 (define @t354 () (not (forall @t9 (or @t352 @t285)))) % 204.19/204.51 (define @t355 () (not (forall @t9 (or @t352 @t225)))) % 204.19/204.51 (define @t356 () (not (forall @t38 (or @t235 @t355 @t232)))) % 204.19/204.51 (define @t357 () (forall @t53 (or @t356 (not (forall @t38 (or @t231 @t355 @t224)))))) % 204.19/204.51 (define @t358 () (not @t357)) % 204.19/204.51 (define @t359 () (and @t69 (not (forall @t38 (or @t292 @t355 @t237))))) % 204.19/204.51 (define @t360 () (and @t126 (not (forall @t38 (or @t231 @t355 @t240))))) % 204.19/204.51 (define @t361 () (lambda @t70 (forall @t129 (or @t360 @t359 @t108 @t358 @t289 @t354 @t284 @t283 @t353 @t278)))) % 204.19/204.51 (define @t362 () (@purify @t361)) % 204.19/204.51 (define @t363 () (not (forall @t9 (or @t352 @t216)))) % 204.19/204.51 (define @t364 () (not (forall @t9 (or @t352 @t222)))) % 204.19/204.51 (define @t365 () (forall @t38 (or @t239 @t355 @t237))) % 204.19/204.51 (define @t366 () (and @t69 (not @t365))) % 204.19/204.51 (define @t367 () (forall @t38 (or @t242 @t355 @t240))) % 204.19/204.51 (define @t368 () (and @t126 (not @t367))) % 204.19/204.51 (define @t369 () (or @t368 @t366 @t108 @t358 @t223 @t364 @t221 @t219 @t363 @t215)) % 204.19/204.51 (define @t370 () (lambda @t70 (forall @t243 @t369))) % 204.19/204.51 (define @t371 () (@purify @t370)) % 204.19/204.51 (define @t372 () (= @t361 @t370)) % 204.19/204.51 (define @t373 () (or @t219 @t363 @t215)) % 204.19/204.51 (define @t374 () (or @t223 @t364 @t221)) % 204.19/204.51 (define @t375 () (or @t368 @t366 @t108 @t374 @t373 @t358)) % 204.19/204.51 (define @t376 () (forall @t243 @t375)) % 204.19/204.51 (define @t377 () (forall (@list @t220 @t214) @t375)) % 204.19/204.51 (define @t378 () (forall (@list @t214) @t373)) % 204.19/204.51 (define @t379 () (@list @t20)) % 204.19/204.51 (define @t380 () (forall (@list @t220) @t374)) % 204.19/204.51 (define @t381 () (or @t368 @t366 @t108 @t380 @t378 @t358)) % 204.19/204.51 (define @t382 () (forall @t38 (or @t231 @t355 (_ @t20 @t57 @t1)))) % 204.19/204.51 (define @t383 () (forall @t38 (or @t235 @t355 (_ @t20 @t1 @t57)))) % 204.19/204.51 (define @t384 () (or @t368 @t366 @t108 @t383 @t382 @t358)) % 204.19/204.51 (define @t385 () (not @t382)) % 204.19/204.51 (define @t386 () (not @t385)) % 204.19/204.51 (define @t387 () (not @t383)) % 204.19/204.51 (define @t388 () (not @t387)) % 204.19/204.51 (define @t389 () (not @t108)) % 204.19/204.51 (define @t390 () (not @t389)) % 204.19/204.51 (define @t391 () (or @t390 @t388 @t386 @t358)) % 204.19/204.51 (define @t392 () (not (and @t389 @t387 @t385 @t357))) % 204.19/204.51 (define @t393 () (or @t125 @t367)) % 204.19/204.51 (define @t394 () (not @t393)) % 204.19/204.51 (define @t395 () (or @t394 (not (or @t55 @t365)) @t392)) % 204.19/204.51 (define @t396 () (_ @t20 @t11 @t57)) % 204.19/204.51 (define @t397 () (_ @t20 @t13 @t57)) % 204.19/204.51 (define @t398 () (forall @t62 (or @t230 (not @t397) @t396))) % 204.19/204.51 (define @t399 () (@list @t57)) % 204.19/204.51 (define @t400 () (not @t398)) % 204.19/204.51 (define @t401 () (or @t400 @t355 @t237)) % 204.19/204.51 (define @t402 () (forall @t38 @t401)) % 204.19/204.51 (define @t403 () (or @t55 @t402)) % 204.19/204.51 (define @t404 () (not @t403)) % 204.19/204.51 (define @t405 () (or @t394 @t404 @t392)) % 204.19/204.51 (define @t406 () (not (= @t57 @t1))) % 204.19/204.51 (define @t407 () (and @t406 @t387 @t385 @t357)) % 204.19/204.51 (define @t408 () (not @t407)) % 204.19/204.51 (define @t409 () (_ @t20 @t2 @t19)) % 204.19/204.51 (define @t410 () (_ @t20 @t1 @t2)) % 204.19/204.51 (define @t411 () (_ (lambda @t155 (not (and @t69 (not (forall @t38 (or @t235 @t355 @t410))) (not (forall @t38 (or @t231 @t355 @t237))) (forall @t53 (or @t356 (not (forall @t38 (or @t231 @t355 @t409)))))))) @t6 @t57 @t1)) % 204.19/204.51 (define @t412 () (_ @t20 @t179 @t178)) % 204.19/204.51 (define @t413 () (or @t400 @t355 @t412)) % 204.19/204.51 (define @t414 () (forall @t38 @t413)) % 204.19/204.51 (define @t415 () (or @t183 @t414)) % 204.19/204.51 (define @t416 () (lambda @t184 @t415)) % 204.19/204.51 (define @t417 () (_ @t416 @t6 @t2 @t1)) % 204.19/204.51 (define @t418 () (not @t417)) % 204.19/204.51 (define @t419 () (not (_ @t416 @t6 @t2 @t57))) % 204.19/204.51 (define @t420 () (or @t419 @t418 @t411)) % 204.19/204.51 (define @t421 () (forall @t171 @t420)) % 204.19/204.51 (define @t422 () (lambda @t70 @t421)) % 204.19/204.51 (define @t423 () (= @t361 @t422)) % 204.19/204.51 (define @t424 () (or @t231 @t355 @t22)) % 204.19/204.51 (define @t425 () (or @t235 @t355 @t42)) % 204.19/204.51 (define @t426 () (or @t231 @t355 @t56)) % 204.19/204.51 (define @t427 () (or @t235 @t355 @t67)) % 204.19/204.51 (define @t428 () (or @t400 @t355 @t180)) % 204.19/204.51 (define @t429 () (tptp.trc @t6 @t2 @t1)) % 204.19/204.51 (define @t430 () (not @t429)) % 204.19/204.51 (define @t431 () (tptp.trc @t6 @t2 @t57)) % 204.19/204.51 (define @t432 () (not @t431)) % 204.19/204.51 (define @t433 () (tptp.join @t6 @t57 @t1)) % 204.19/204.51 (define @t434 () (or @t432 @t430 @t433)) % 204.19/204.51 (define @t435 () (forall @t171 @t434)) % 204.19/204.51 (define @t436 () (lambda @t70 @t435)) % 204.19/204.51 (define @t437 () (or @t360 @t359 @t108 @t358 @t289 @t354 @t87 @t283 @t353 @t72)) % 204.19/204.51 (define @t438 () (or @t231 @t355 @t101)) % 204.19/204.51 (define @t439 () (or @t292 @t355 @t56)) % 204.19/204.51 (define @t440 () (or @t231 @t355 @t121)) % 204.19/204.51 (define @t441 () (= tptp.confl @t436)) % 204.19/204.51 (define @t442 () (not @t207)) % 204.19/204.51 (define @t443 () (not @t208)) % 204.19/204.51 (define @t444 () (or @t443 @t442 @t205)) % 204.19/204.51 (define @t445 () (_ @t361 @t217)) % 204.19/204.51 (define @t446 () (_ @t362 @t217)) % 204.19/204.51 (define @t447 () (_ @t370 @t217)) % 204.19/204.51 (define @t448 () (_ @t371 @t217)) % 204.19/204.51 (define @t449 () (= @t448 @t446)) % 204.19/204.51 (define @t450 () (not @t449)) % 204.19/204.51 (define @t451 () (= @t371 @t362)) % 204.19/204.51 (define @t452 () (or @t451 @t450)) % 204.19/204.51 (define @t453 () (= @t293 @t244)) % 204.19/204.51 (define @t454 () (not @t293)) % 204.19/204.51 (define @t455 () (@quantifiers_skolemize @t293 2)) % 204.19/204.51 (define @t456 () (@quantifiers_skolemize @t293 4)) % 204.19/204.51 (define @t457 () (@quantifiers_skolemize @t293 3)) % 204.19/204.51 (define @t458 () (= @t294 @t455)) % 204.19/204.51 (define @t459 () (@quantifiers_skolemize @t293 0)) % 204.19/204.51 (define @t460 () (or (and (not (= @t459 @t455)) (not (forall @t38 (or @t231 @t226 (_ @t20 @t459 @t455))))) (and (not (= @t459 @t294)) (not (forall @t38 (or @t292 @t226 (_ @t20 @t459 @t294))))) @t458 (not (forall @t53 (or (not (forall @t38 (or @t235 @t226 (_ @t20 @t294 @t19)))) (not (forall @t38 (or @t231 @t226 (_ @t20 @t455 @t19))))))) (not (forall @t18 (or (not (_ @t457 @t11 @t13)) (not (_ @t457 @t13 @t16)) (_ @t457 @t11 @t16)))) (not (forall @t9 (or @t218 (_ @t457 @t5 @t4)))) (_ @t457 @t294 @t455) (not (forall @t14 (or (not (_ @t456 @t11 @t13)) (not (_ @t456 @t13 @t10)) (_ @t456 @t11 @t10)))) (not (forall @t9 (or @t218 (_ @t456 @t5 @t4)))) (_ @t456 @t455 @t294))) % 204.19/204.51 (define @t461 () (not @t460)) % 204.19/204.51 (define @t462 () (not @t458)) % 204.19/204.51 (define @t463 () (= @t252 @t455)) % 204.19/204.51 (define @t464 () (not @t463)) % 204.19/204.51 (define @t465 () (= tptp.d_unsorted_0 @t261)) % 204.19/204.51 (define @t466 () (not @t465)) % 204.19/204.51 (define @t467 () (not @t263)) % 204.19/204.51 (define @t468 () (= tptp.d_unsorted_0 @t269)) % 204.19/204.51 (define @t469 () (not @t468)) % 204.19/204.51 (define @t470 () (not @t275)) % 204.19/204.51 (define @t471 () (= @t267 @t294)) % 204.19/204.51 (define @t472 () (not @t471)) % 204.19/204.51 (define @t473 () (and @t325 @t336 @t337 @t462 @t471 @t275 @t468 @t263 @t465)) % 204.19/204.51 (define @t474 () (not (= @t455 @t246))) % 204.19/204.51 (define @t475 () (forall @t197 @t474)) % 204.19/204.51 (define @t476 () (not @t475)) % 204.19/204.51 (define @t477 () (forall @t197 (not (= @t246 @t455)))) % 204.19/204.51 (define @t478 () (not @t477)) % 204.19/204.51 (define @t479 () (@quantifiers_skolemize @t477 0)) % 204.19/204.51 (define @t480 () (tptp.d2unsorted @t479)) % 204.19/204.51 (define @t481 () (= @t455 @t480)) % 204.19/204.51 (define @t482 () (= @t480 @t455)) % 204.19/204.51 (define @t483 () (not (not @t482))) % 204.19/204.51 (define @t484 () (= tptp.d_unsorted_0 @t479)) % 204.19/204.51 (define @t485 () (and @t336 @t263 @t465 @t481 @t484)) % 204.19/204.51 (assume @p1 (and @t204 @t198 (forall (@list @t195 @t194) (=> (= (_ tptp.d2unsorted @t195) (_ tptp.d2unsorted @t194)) (= @t195 @t194))) (= tptp.subrel (lambda (@list @t6 @t20) @t192)) (= tptp.inv (lambda @t155 @t169)) (= tptp.idem (lambda @t193 (forall @t70 (= @t191 (_ @t190 @t191))))) (= tptp.infl (lambda @t193 (forall @t155 (or @t146 (_ (_ @t191 @t2) @t1))))) (= tptp.mono (lambda @t193 (forall (@list @t6 @t20 @t189 @t188) (or (not @t192) (not (_ (_ @t191 @t189) @t188)) (_ (_ (_ @t190 @t20) @t189) @t188))))) (= tptp.refl (lambda @t70 @t177)) (= tptp.irrefl (lambda @t70 (forall @t165 (not @t176)))) (= tptp.rc (lambda @t155 (or @t55 @t145))) (= tptp.symm (lambda @t70 (forall @t170 (or @t146 @t169)))) (= tptp.antisymm (lambda @t70 @t175)) (= tptp.asymm (lambda @t70 @t174)) (= tptp.sc (lambda @t155 (or @t169 @t145))) (= tptp.trans (lambda @t70 @t172)) (= tptp.tc (lambda @t155 @t65)) @t187 (= tptp.trsc (lambda @t184 (or @t183 (forall @t38 (or @t64 @t26 (_ (_ @t20 @t178) @t179))) @t182))) (= tptp.po (lambda @t70 (and @t177 @t175 @t172))) (= tptp.so (lambda @t70 (and @t174 @t172))) (= tptp.total (lambda @t70 (forall @t170 (or @t55 @t145 @t169)))) (= tptp.term (lambda @t70 (forall (@list @t166 @t167) (or (not (_ @t166 @t167)) (not (forall @t165 (or (not (_ @t166 @t2)) (not (forall @t162 (or (not (_ @t166 @t1)) @t146)))))))))) (= tptp.ind (lambda @t70 (forall (@list @t164 @t163) (or (not (forall @t165 (or (not (forall @t162 (or @t66 (_ @t164 @t1)))) (_ @t164 @t2)))) (_ @t164 @t163))))) (= tptp.innf (lambda (@list @t6 @t2) (forall @t162 @t146))) (= tptp.nfof (lambda @t155 (and (or @t55 @t68) (forall @t160 (not (_ @t138 @t158)))))) (= tptp.norm (lambda @t70 (forall (@list @t2 @t161) (or (not (_ @t138 @t161)) (not (forall (@list @t159) (or (not (forall @t38 (or @t64 @t26 (_ @t21 @t159)))) (not (forall @t160 (not (_ (_ @t6 @t159) @t158))))))))))) @t157 (= tptp.lconfl (lambda @t70 (forall (@list @t2 @t1 @t57 @t143 @t141) (or @t140 @t146 @t108 @t107 (not (forall @t18 (or (not (_ @t144 @t13)) (not (_ (_ @t143 @t13) @t16)) (_ @t144 @t16)))) (not (forall @t9 (or @t8 (_ (_ @t143 @t5) @t4)))) (_ (_ @t143 @t1) @t57) (not (forall @t14 (or (not (_ @t142 @t13)) (not (_ (_ @t141 @t13) @t10)) (_ @t142 @t10)))) (not (forall @t9 (or @t8 (_ (_ @t141 @t5) @t4)))) (_ (_ @t141 @t57) @t1))))) (= tptp.sconfl (lambda @t70 (forall (@list @t2 @t1 @t57 @t135 @t133) (or @t140 (and @t69 (not (forall @t38 (or (not (forall (@list @t11 @t13 @t137) (or @t33 (not (_ @t29 @t137)) (_ @t27 @t137)))) @t26 @t56)))) @t108 @t107 (not (forall @t18 (or (not (_ @t136 @t13)) (not (_ (_ @t135 @t13) @t16)) (_ @t136 @t16)))) (not (forall @t9 (or @t8 (_ (_ @t135 @t5) @t4)))) (_ (_ @t135 @t1) @t57) (not (forall @t14 (or (not (_ @t134 @t13)) (not (_ (_ @t133 @t13) @t10)) (_ @t134 @t10)))) (not (forall @t9 (or @t8 (_ (_ @t133 @t5) @t4)))) (_ (_ @t133 @t57) @t1))))) @t132 (= tptp.cr (lambda @t70 (forall (@list @t2 @t1 @t15 @t3) (or (and @t69 (not @t68) @t66) @t55 (not @t54) (not (forall @t18 (or (not (_ @t17 @t13)) (not (_ (_ @t15 @t13) @t16)) (_ @t17 @t16)))) (not (forall @t9 (or @t8 (_ (_ @t15 @t5) @t4)))) (_ (_ @t15 @t1) @t2) (not (forall @t14 (or (not (_ @t12 @t13)) (not (_ (_ @t3 @t13) @t10)) (_ @t12 @t10)))) (not (forall @t9 (or @t8 (_ (_ @t3 @t5) @t4)))) (_ (_ @t3 @t2) @t1))))))) % 204.19/204.51 (assume @p2 @t213) % 204.19/204.51 (assume @p3 true) % 204.19/204.51 (step @p4 :rule eq-symm :args (@t196 tptp.d_unsorted_0)) % 204.19/204.51 (step @p5 :rule cong :premises (@p4) :args (@t198)) % 204.19/204.51 (step @p6 :rule and_elim :premises (@p1) :args (1)) % 204.19/204.51 (step @p7 :rule eq_resolve :premises (@p6 @p5)) % 204.19/204.51 (step @p8 :rule instantiate :premises (@p7) :args ((@list @t248))) % 204.19/204.51 (step @p9 :rule refl :args (@t246)) % 204.19/204.51 (step @p10 :rule refl :args (@t199)) % 204.19/204.51 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t199 @t246))) % 204.19/204.51 (step @p12 :rule symm :premises (@p11)) % 204.19/204.51 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 204.19/204.51 (step @p14 :rule refl :args (@t200)) % 204.19/204.51 (step @p15 :rule cong :premises (@p14 @p13) :args (@t201)) % 204.19/204.51 (step @p16 :rule cong :premises (@p15) :args (@t249)) % 204.19/204.51 (step @p17 :rule cong :premises (@p16) :args (@t250)) % 204.19/204.51 (step @p18 :rule cong :premises (@p17) :args (@t251)) % 204.19/204.51 (step @p19 :rule exists-elim :args ((= @t202 @t251))) % 204.19/204.51 (step @p20 :rule trans :premises (@p19 @p18)) % 204.19/204.51 (step @p21 :rule cong :premises (@p20) :args (@t204)) % 204.19/204.51 (step @p22 :rule and_elim :premises (@p1) :args (0)) % 204.19/204.51 (step @p23 :rule eq_resolve :premises (@p22 @p21)) % 204.19/204.51 (step @p24 :rule eq-symm :args (@t252 @t246)) % 204.19/204.51 (step @p25 :rule cong :premises (@p24) :args (@t253)) % 204.19/204.51 (step @p26 :rule cong :premises (@p25) :args (@t254)) % 204.19/204.51 (step @p27 :rule cong :premises (@p26) :args (@t255)) % 204.19/204.51 (step @p28 :rule refl :args (@t256)) % 204.19/204.51 (step @p29 :rule cong :premises (@p28 @p27) :args ((=> @t256 @t255))) % 204.19/204.51 (assume-push @p850 @t256) % 204.19/204.51 (step @p31 :rule instantiate :premises (@p23) :args ((@list @t252))) % 204.19/204.51 (step-pop @p851 :rule scope :premises (@p31)) % 204.19/204.51 (step @p32 :rule process_scope :premises (@p851) :args (@t255)) % 204.19/204.51 (step @p34 :rule eq_resolve :premises (@p32 @p29)) % 204.19/204.51 (step @p35 :rule implies_elim :premises (@p34)) % 204.19/204.51 (step @p36 :rule chain_m_resolution :premises (@p35 @p23) :args (@t258 @t259 @t260)) % 204.19/204.51 (step @p37 :rule refl :args (@t263)) % 204.19/204.51 (step @p38 :rule bool-double-not-elim :args (@t257)) % 204.19/204.51 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or (not @t258) @t263))) % 204.19/204.51 (step @p40 :rule eq-symm :args (@t262 @t252)) % 204.19/204.51 (step @p41 :rule bool-double-not-elim :args (@t264)) % 204.19/204.51 (step @p42 :rule trans :premises (@p41 @p40)) % 204.19/204.51 (step @p43 :rule refl :args (@t258)) % 204.19/204.51 (step @p44 :rule cong :premises (@p43 @p42) :args ((=> @t258 @t265))) % 204.19/204.51 (assume-push @p852 @t258) % 204.19/204.51 (step @p46 :rule skolemize :premises (@p36)) % 204.19/204.51 (step-pop @p853 :rule scope :premises (@p46)) % 204.19/204.51 (step @p47 :rule process_scope :premises (@p853) :args (@t265)) % 204.19/204.51 (step @p49 :rule eq_resolve :premises (@p47 @p44)) % 204.19/204.51 (step @p50 :rule implies_elim :premises (@p49)) % 204.19/204.51 (step @p51 :rule eq_resolve :premises (@p50 @p39)) % 204.19/204.51 (step @p52 :rule chain_m_resolution :premises (@p51 @p36) :args (@t263 @t266 (@list @t257))) % 204.19/204.51 (step @p53 :rule instantiate :premises (@p7) :args ((@list @t261))) % 204.19/204.51 (step @p54 :rule instantiate :premises (@p7) :args ((@list @t269))) % 204.19/204.51 (step @p55 :rule eq-symm :args (@t267 @t246)) % 204.19/204.51 (step @p56 :rule cong :premises (@p55) :args (@t270)) % 204.19/204.51 (step @p57 :rule cong :premises (@p56) :args (@t271)) % 204.19/204.51 (step @p58 :rule cong :premises (@p57) :args (@t272)) % 204.19/204.51 (step @p59 :rule cong :premises (@p28 @p58) :args ((=> @t256 @t272))) % 204.19/204.51 (assume-push @p854 @t256) % 204.19/204.51 (step @p61 :rule instantiate :premises (@p23) :args ((@list @t267))) % 204.19/204.51 (step-pop @p855 :rule scope :premises (@p61)) % 204.19/204.51 (step @p62 :rule process_scope :premises (@p855) :args (@t272)) % 204.19/204.51 (step @p64 :rule eq_resolve :premises (@p62 @p59)) % 204.19/204.51 (step @p65 :rule implies_elim :premises (@p64)) % 204.19/204.51 (step @p66 :rule chain_m_resolution :premises (@p65 @p23) :args (@t273 @t259 @t260)) % 204.19/204.51 (step @p67 :rule refl :args (@t275)) % 204.19/204.51 (step @p68 :rule bool-double-not-elim :args (@t268)) % 204.19/204.51 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or (not @t273) @t275))) % 204.19/204.51 (step @p70 :rule eq-symm :args (@t274 @t267)) % 204.19/204.51 (step @p71 :rule bool-double-not-elim :args (@t276)) % 204.19/204.51 (step @p72 :rule trans :premises (@p71 @p70)) % 204.19/204.51 (step @p73 :rule refl :args (@t273)) % 204.19/204.51 (step @p74 :rule cong :premises (@p73 @p72) :args ((=> @t273 @t277))) % 204.19/204.51 (assume-push @p856 @t273) % 204.19/204.51 (step @p76 :rule skolemize :premises (@p66)) % 204.19/204.51 (step-pop @p857 :rule scope :premises (@p76)) % 204.19/204.51 (step @p77 :rule process_scope :premises (@p857) :args (@t277)) % 204.19/204.51 (step @p79 :rule eq_resolve :premises (@p77 @p74)) % 204.19/204.51 (step @p80 :rule implies_elim :premises (@p79)) % 204.19/204.51 (step @p81 :rule eq_resolve :premises (@p80 @p69)) % 204.19/204.51 (step @p82 :rule chain_m_resolution :premises (@p81 @p66) :args (@t275 @t266 (@list @t268))) % 204.19/204.51 (step @p83 :rule eq-symm :args (@t294 @t246)) % 204.19/204.51 (step @p84 :rule cong :premises (@p83) :args (@t295)) % 204.19/204.51 (step @p85 :rule cong :premises (@p84) :args (@t296)) % 204.19/204.51 (step @p86 :rule cong :premises (@p85) :args (@t297)) % 204.19/204.51 (step @p87 :rule cong :premises (@p28 @p86) :args ((=> @t256 @t297))) % 204.19/204.51 (assume-push @p858 @t256) % 204.19/204.51 (step @p89 :rule instantiate :premises (@p23) :args ((@list @t294))) % 204.19/204.51 (step-pop @p859 :rule scope :premises (@p89)) % 204.19/204.51 (step @p90 :rule process_scope :premises (@p859) :args (@t297)) % 204.19/204.51 (step @p92 :rule eq_resolve :premises (@p90 @p87)) % 204.19/204.51 (step @p93 :rule implies_elim :premises (@p92)) % 204.19/204.51 (step @p94 :rule chain_m_resolution :premises (@p93 @p23) :args (@t299 @t259 @t260)) % 204.19/204.51 (step @p95 :rule refl :args (@t302)) % 204.19/204.51 (step @p96 :rule bool-double-not-elim :args (@t298)) % 204.19/204.51 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or (not @t299) @t302))) % 204.19/204.51 (step @p98 :rule eq-symm :args (@t301 @t294)) % 204.19/204.51 (step @p99 :rule bool-double-not-elim :args (@t303)) % 204.19/204.51 (step @p100 :rule trans :premises (@p99 @p98)) % 204.19/204.51 (step @p101 :rule refl :args (@t299)) % 204.19/204.51 (step @p102 :rule cong :premises (@p101 @p100) :args ((=> @t299 @t304))) % 204.19/204.51 (assume-push @p860 @t299) % 204.19/204.51 (step @p104 :rule skolemize :premises (@p94)) % 204.19/204.51 (step-pop @p861 :rule scope :premises (@p104)) % 204.19/204.51 (step @p105 :rule process_scope :premises (@p861) :args (@t304)) % 204.19/204.51 (step @p107 :rule eq_resolve :premises (@p105 @p102)) % 204.19/204.51 (step @p108 :rule implies_elim :premises (@p107)) % 204.19/204.51 (step @p109 :rule eq_resolve :premises (@p108 @p97)) % 204.19/204.51 (step @p110 :rule chain_m_resolution :premises (@p109 @p94) :args (@t302 @t266 (@list @t298))) % 204.19/204.51 (step @p111 :rule symm :premises (@p110)) % 204.19/204.51 (step @p112 :rule instantiate :premises (@p7) :args ((@list @t300))) % 204.19/204.51 (step @p113 :rule symm :premises (@p8)) % 204.19/204.51 (step @p114 :rule trans :premises (@p113 @p112)) % 204.19/204.51 (step @p115 :rule cong :premises (@p114) :args (@t305)) % 204.19/204.51 (step @p116 :rule symm :premises (@p54)) % 204.19/204.51 (step @p117 :rule trans :premises (@p116 @p8)) % 204.19/204.51 (step @p118 :rule cong :premises (@p117) :args (@t274)) % 204.19/204.51 (step @p119 :rule trans :premises (@p82 @p118 @p115 @p111)) % 204.19/204.51 (step @p120 :rule instantiate :premises (@p7) :args ((@list @t308))) % 204.19/204.51 (step @p121 :rule eq-symm :args (@t306 @t246)) % 204.19/204.51 (step @p122 :rule cong :premises (@p121) :args (@t309)) % 204.19/204.51 (step @p123 :rule cong :premises (@p122) :args (@t310)) % 204.19/204.51 (step @p124 :rule cong :premises (@p123) :args (@t311)) % 204.19/204.51 (step @p125 :rule cong :premises (@p28 @p124) :args ((=> @t256 @t311))) % 204.19/204.51 (assume-push @p862 @t256) % 204.19/204.51 (step @p127 :rule instantiate :premises (@p23) :args ((@list @t306))) % 204.19/204.51 (step-pop @p863 :rule scope :premises (@p127)) % 204.19/204.51 (step @p128 :rule process_scope :premises (@p863) :args (@t311)) % 204.19/204.51 (step @p130 :rule eq_resolve :premises (@p128 @p125)) % 204.19/204.51 (step @p131 :rule implies_elim :premises (@p130)) % 204.19/204.51 (step @p132 :rule chain_m_resolution :premises (@p131 @p23) :args (@t312 @t259 @t260)) % 204.19/204.51 (step @p133 :rule refl :args (@t314)) % 204.19/204.51 (step @p134 :rule bool-double-not-elim :args (@t307)) % 204.19/204.51 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or (not @t312) @t314))) % 204.19/204.51 (step @p136 :rule eq-symm :args (@t313 @t306)) % 204.19/204.51 (step @p137 :rule bool-double-not-elim :args (@t315)) % 204.19/204.51 (step @p138 :rule trans :premises (@p137 @p136)) % 204.19/204.51 (step @p139 :rule refl :args (@t312)) % 204.19/204.51 (step @p140 :rule cong :premises (@p139 @p138) :args ((=> @t312 @t316))) % 204.19/204.51 (assume-push @p864 @t312) % 204.19/204.51 (step @p142 :rule skolemize :premises (@p132)) % 204.19/204.51 (step-pop @p865 :rule scope :premises (@p142)) % 204.19/204.51 (step @p143 :rule process_scope :premises (@p865) :args (@t316)) % 204.19/204.51 (step @p145 :rule eq_resolve :premises (@p143 @p140)) % 204.19/204.51 (step @p146 :rule implies_elim :premises (@p145)) % 204.19/204.51 (step @p147 :rule eq_resolve :premises (@p146 @p135)) % 204.19/204.51 (step @p148 :rule chain_m_resolution :premises (@p147 @p132) :args (@t314 @t266 (@list @t307))) % 204.19/204.51 (step @p149 :rule instantiate :premises (@p7) :args ((@list @t319))) % 204.19/204.51 (step @p150 :rule eq-symm :args (@t317 @t246)) % 204.19/204.51 (step @p151 :rule cong :premises (@p150) :args (@t320)) % 204.19/204.51 (step @p152 :rule cong :premises (@p151) :args (@t321)) % 204.19/204.51 (step @p153 :rule cong :premises (@p152) :args (@t322)) % 204.19/204.51 (step @p154 :rule cong :premises (@p28 @p153) :args ((=> @t256 @t322))) % 204.19/204.51 (assume-push @p866 @t256) % 204.19/204.51 (step @p156 :rule instantiate :premises (@p23) :args ((@list @t317))) % 204.19/204.51 (step-pop @p867 :rule scope :premises (@p156)) % 204.19/204.51 (step @p157 :rule process_scope :premises (@p867) :args (@t322)) % 204.19/204.51 (step @p159 :rule eq_resolve :premises (@p157 @p154)) % 204.19/204.51 (step @p160 :rule implies_elim :premises (@p159)) % 204.19/204.51 (step @p161 :rule chain_m_resolution :premises (@p160 @p23) :args (@t323 @t259 @t260)) % 204.19/204.51 (step @p162 :rule refl :args (@t325)) % 204.19/204.51 (step @p163 :rule bool-double-not-elim :args (@t318)) % 204.19/204.51 (step @p164 :rule nary_cong :premises (@p163 @p162) :args ((or (not @t323) @t325))) % 204.19/204.51 (step @p165 :rule eq-symm :args (@t324 @t317)) % 204.19/204.51 (step @p166 :rule bool-double-not-elim :args (@t326)) % 204.19/204.51 (step @p167 :rule trans :premises (@p166 @p165)) % 204.19/204.51 (step @p168 :rule refl :args (@t323)) % 204.19/204.51 (step @p169 :rule cong :premises (@p168 @p167) :args ((=> @t323 @t327))) % 204.19/204.51 (assume-push @p868 @t323) % 204.19/204.51 (step @p171 :rule skolemize :premises (@p161)) % 204.19/204.51 (step-pop @p869 :rule scope :premises (@p171)) % 204.19/204.51 (step @p172 :rule process_scope :premises (@p869) :args (@t327)) % 204.19/204.51 (step @p174 :rule eq_resolve :premises (@p172 @p169)) % 204.19/204.51 (step @p175 :rule implies_elim :premises (@p174)) % 204.19/204.51 (step @p176 :rule eq_resolve :premises (@p175 @p164)) % 204.19/204.51 (step @p177 :rule chain_m_resolution :premises (@p176 @p161) :args (@t325 @t266 @t328)) % 204.19/204.51 (step @p178 :rule eq-symm :args (@t245 @t246)) % 204.19/204.51 (step @p179 :rule cong :premises (@p178) :args (@t329)) % 204.19/204.51 (step @p180 :rule cong :premises (@p179) :args (@t330)) % 204.19/204.51 (step @p181 :rule cong :premises (@p180) :args (@t331)) % 204.19/204.51 (step @p182 :rule cong :premises (@p28 @p181) :args ((=> @t256 @t331))) % 204.19/204.51 (assume-push @p870 @t256) % 204.19/204.51 (step @p184 :rule instantiate :premises (@p23) :args ((@list @t245))) % 204.19/204.51 (step-pop @p871 :rule scope :premises (@p184)) % 204.19/204.51 (step @p185 :rule process_scope :premises (@p871) :args (@t331)) % 204.19/204.51 (step @p187 :rule eq_resolve :premises (@p185 @p182)) % 204.19/204.51 (step @p188 :rule implies_elim :premises (@p187)) % 204.19/204.51 (step @p189 :rule chain_m_resolution :premises (@p188 @p23) :args 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:rule nary_cong :premises (@p640 @p626 @p604 @p603 @p588 @p568 @p560 @p559 @p539 @p531) :args (@t128)) % 204.19/204.52 (step @p642 :rule cong :premises (@p641) :args (@t130)) % 204.19/204.52 (step @p643 :rule trans :premises (@p642 @p530)) % 204.19/204.52 (step @p644 :rule cong :premises (@p643) :args (@t131)) % 204.19/204.52 (step @p645 :rule refl :args (tptp.confl)) % 204.19/204.52 (step @p646 :rule cong :premises (@p645 @p644) :args (@t132)) % 204.19/204.52 (step @p647 :rule and_elim :premises (@p1) :args (30)) % 204.19/204.52 (step @p648 :rule eq_resolve :premises (@p647 @p646)) % 204.19/204.52 (step @p649 :rule cong :premises (@p648 @p512) :args (@t441)) % 204.19/204.52 (step @p650 :rule cong :premises (@p649) :args ((not @t441))) % 204.19/204.52 (step @p651 :rule trans :premises (@p650 @p359)) % 204.19/204.52 (step @p652 :rule refl :args (@t433)) % 204.19/204.52 (step @p653 :rule refl :args (@t205)) % 204.19/204.52 (step @p654 :rule cong :premises (@p653 @p652) :args ((= @t205 @t433))) % 204.19/204.52 (step @p655 :rule symm :premises (@p654)) % 204.19/204.52 (step @p656 :rule eq_resolve :premises (@p653 @p655)) % 204.19/204.52 (step @p657 :rule refl :args (@t429)) % 204.19/204.52 (step @p658 :rule refl :args (@t207)) % 204.19/204.52 (step @p659 :rule cong :premises (@p658 @p657) :args ((= @t207 @t429))) % 204.19/204.52 (step @p660 :rule symm :premises (@p659)) % 204.19/204.52 (step @p661 :rule eq_resolve :premises (@p658 @p660)) % 204.19/204.52 (step @p662 :rule cong :premises (@p661) :args (@t442)) % 204.19/204.52 (step @p663 :rule refl :args (@t431)) % 204.19/204.52 (step @p664 :rule refl :args (@t208)) % 204.19/204.52 (step @p665 :rule cong :premises (@p664 @p663) :args ((= @t208 @t431))) % 204.19/204.52 (step @p666 :rule symm :premises (@p665)) % 204.19/204.52 (step @p667 :rule eq_resolve :premises (@p664 @p666)) % 204.19/204.52 (step @p668 :rule cong :premises (@p667) :args (@t443)) % 204.19/204.52 (step @p669 :rule nary_cong :premises (@p668 @p662 @p656) :args (@t444)) % 204.19/204.52 (step @p670 :rule cong :premises (@p669) :args ((forall @t171 @t444))) % 204.19/204.52 (step @p671 :rule aci_norm :args ((= (or (or @t443 @t442) @t205) @t444))) % 204.19/204.52 (step @p672 :rule bool-and-de-morgan :args (@t208 @t207 true)) % 204.19/204.52 (step @p673 :rule nary_cong :premises (@p672 @p653) :args ((or (not @t209) @t205))) % 204.19/204.52 (step @p674 :rule trans :premises (@p673 @p671)) % 204.19/204.52 (step @p675 :rule bool-impl-elim :args (@t209 @t205)) % 204.19/204.52 (step @p676 :rule trans :premises (@p675 @p674)) % 204.19/204.52 (step @p677 :rule cong :premises (@p676) :args (@t210)) % 204.19/204.52 (step @p678 :rule trans :premises (@p677 @p670)) % 204.19/204.52 (step @p679 :rule cong :premises (@p678) :args (@t211)) % 204.19/204.52 (step @p680 :rule cong :premises (@p645 @p679) :args (@t212)) % 204.19/204.52 (step @p681 :rule cong :premises (@p680) :args (@t213)) % 204.19/204.52 (step @p682 :rule trans :premises (@p681 @p651 @p274)) % 204.19/204.52 (step @p683 :rule eq_resolve :premises (@p2 @p682)) % 204.19/204.52 (step @p684 :rule eq-symm :args (@t244 @t293)) % 204.19/204.52 (step @p685 :rule eq-refl :args (@t293)) % 204.19/204.52 (step @p686 :rule beta-reduce :args ((= @t445 @t293))) % 204.19/204.52 (step @p687 :rule refl :args (@t293)) % 204.19/204.52 (step @p688 :rule cong :premises (@p687 @p686) :args ((= @t293 @t445))) % 204.19/204.52 (step @p689 :rule trans :premises (@p688 @p685)) % 204.19/204.52 (step @p690 :rule eq-symm :args (@t445 @t293)) % 204.19/204.52 (step @p691 :rule trans :premises (@p690 @p689)) % 204.19/204.52 (step @p692 :rule refl :args (@t217)) % 204.19/204.52 (step @p693 :rule ho_cong :premises (@p267 @p692)) % 204.19/204.52 (step @p694 :rule cong :premises (@p693 @p687) :args ((= @t446 @t293))) % 204.19/204.52 (step @p695 :rule trans :premises (@p694 @p691)) % 204.19/204.52 (step @p696 :rule true_elim :premises (@p695)) % 204.19/204.52 (step @p697 :rule eq-refl :args (@t244)) % 204.19/204.52 (step @p698 :rule beta-reduce :args ((= @t447 @t244))) % 204.19/204.52 (step @p699 :rule refl :args (@t244)) % 204.19/204.52 (step @p700 :rule cong :premises (@p699 @p698) :args ((= @t244 @t447))) % 204.19/204.52 (step @p701 :rule trans :premises (@p700 @p697)) % 204.19/204.52 (step @p702 :rule eq-symm :args (@t447 @t244)) % 204.19/204.52 (step @p703 :rule trans :premises (@p702 @p701)) % 204.19/204.52 (step @p704 :rule ho_cong :premises (@p261 @p692)) % 204.19/204.52 (step @p705 :rule cong :premises (@p704 @p699) :args ((= @t448 @t244))) % 204.19/204.52 (step @p706 :rule trans :premises (@p705 @p703)) % 204.19/204.52 (step @p707 :rule true_elim :premises (@p706)) % 204.19/204.52 (step @p708 :rule cong :premises (@p707 @p696) :args (@t449)) % 204.19/204.52 (step @p709 :rule trans :premises (@p708 @p684)) % 204.19/204.52 (step @p710 :rule cong :premises (@p709) :args (@t450)) % 204.19/204.52 (step @p711 :rule refl :args (@t451)) % 204.19/204.52 (step @p712 :rule nary_cong :premises (@p711 @p710) :args (@t452)) % 204.19/204.52 ; WARNING: add trust step for TRUST % 204.19/204.52 ; trust TRUST THEORY_LEMMA % 204.19/204.52 (step @p713 :rule trust :premises () :args (@t452)) % 204.19/204.52 (step @p714 :rule eq_resolve :premises (@p713 @p712)) % 204.19/204.52 (step @p715 :rule chain_m_resolution :premises (@p714 @p683) :args ((not @t453) @t266 (@list @t451))) % 204.19/204.52 (step @p716 :rule cnf_equiv_neg2 :args (@t453)) % 204.19/204.52 (step @p717 :rule chain_m_resolution :premises (@p716 @p715 @p258) :args (@t454 (@list true false) (@list @t453 @t244))) % 204.19/204.52 (step @p718 :rule refl :args (@t461)) % 204.19/204.52 (step @p719 :rule bool-double-not-elim :args (@t293)) % 204.19/204.52 (step @p720 :rule nary_cong :premises (@p719 @p718) :args ((or (not @t454) @t461))) % 204.19/204.52 (assume-push @p892 @t454) % 204.19/204.52 (step @p722 :rule skolemize :premises (@p892)) % 204.19/204.52 (step-pop @p893 :rule scope :premises (@p722)) % 204.19/204.52 (step @p723 :rule process_scope :premises (@p893) :args (@t461)) % 204.19/204.52 (step @p725 :rule implies_elim :premises (@p723)) % 204.19/204.52 (step @p726 :rule eq_resolve :premises (@p725 @p720)) % 204.19/204.52 (step @p727 :rule chain_m_resolution :premises (@p726 @p717) :args (@t461 @t266 (@list @t293))) % 204.19/204.52 (step @p728 :rule cnf_or_neg :args (@t460 2)) % 204.19/204.52 (step @p729 :rule chain_m_resolution :premises (@p728 @p727) :args (@t462 @t266 (@list @t460))) % 204.19/204.52 (step @p730 :rule refl :args (@t464)) % 204.19/204.52 (step @p731 :rule refl :args (@t466)) % 204.19/204.52 (step @p732 :rule refl :args (@t467)) % 204.19/204.52 (step @p733 :rule refl :args (@t469)) % 204.19/204.52 (step @p734 :rule refl :args (@t470)) % 204.19/204.52 (step @p735 :rule refl :args (@t472)) % 204.19/204.52 (step @p736 :rule bool-double-not-elim :args (@t458)) % 204.19/204.52 (step @p737 :rule refl :args (@t343)) % 204.19/204.52 (step @p738 :rule refl :args (@t344)) % 204.19/204.52 (step @p739 :rule refl :args (@t345)) % 204.19/204.52 (step @p740 :rule nary_cong :premises (@p739 @p738 @p737 @p736 @p735 @p734 @p733 @p732 @p731 @p730) :args ((or @t345 @t344 @t343 (not @t462) @t472 @t470 @t469 @t467 @t466 @t464))) % 204.19/204.52 (assume-push @p894 @t325) % 204.19/204.52 (assume-push @p895 @t336) % 204.19/204.52 (assume-push @p896 @t337) % 204.19/204.52 (assume-push @p897 @t462) % 204.19/204.52 (assume-push @p898 @t471) % 204.19/204.52 (assume-push @p899 @t275) % 204.19/204.52 (assume-push @p900 @t468) % 204.19/204.52 (assume-push @p901 @t263) % 204.19/204.52 (assume-push @p902 @t465) % 204.19/204.52 (assume-push @p903 @t462) % 204.19/204.52 (assume-push @p904 @t471) % 204.19/204.52 (assume-push @p905 (= @t317 @t267)) % 204.19/204.52 (assume-push @p906 (= @t317 @t252)) % 204.19/204.52 (step @p754 :rule false_intro :premises (@p897)) % 204.19/204.52 (step @p755 :rule refl :args (@t455)) % 204.19/204.52 (step @p756 :rule symm :premises (@p82)) % 204.19/204.52 (step @p757 :rule trans :premises (@p113 @p54)) % 204.19/204.52 (step @p758 :rule cong :premises (@p757) :args (@t305)) % 204.19/204.52 (step @p217 :rule symm :premises (@p149)) % 204.19/204.52 (step @p218 :rule trans :premises (@p217 @p8)) % 204.19/204.52 (step @p759 :rule cong :premises (@p218) :args (@t324)) % 204.19/204.52 (step @p760 :rule chain_m_resolution :premises (@p176 @p161) :args (@t325 @t266 @t328)) % 204.19/204.52 (step @p761 :rule trans :premises (@p760 @p759 @p758 @p756)) % 204.19/204.52 (step @p762 :rule symm :premises (@p52)) % 204.19/204.52 (step @p763 :rule trans :premises (@p113 @p53)) % 204.19/204.52 (step @p764 :rule cong :premises (@p763) :args (@t305)) % 204.19/204.52 (step @p765 :rule cong :premises (@p218) :args (@t324)) % 204.19/204.52 (step @p766 :rule chain_m_resolution :premises (@p176 @p161) :args (@t325 @t266 @t328)) % 204.19/204.52 (step @p767 :rule trans :premises (@p766 @p765 @p764 @p762)) % 204.19/204.52 (step @p768 :rule symm :premises (@p767)) % 204.19/204.52 (step @p769 :rule trans :premises (@p768 @p761 @p119)) % 204.19/204.52 (step @p770 :rule cong :premises (@p769 @p755) :args (@t463)) % 204.19/204.52 (step @p771 :rule trans :premises (@p770 @p754)) % 204.19/204.52 (step @p772 :rule false_elim :premises (@p771)) % 204.19/204.52 (step-pop @p907 :rule scope :premises (@p772)) % 204.19/204.52 (step-pop @p908 :rule scope :premises (@p907)) % 204.19/204.52 (step-pop @p909 :rule scope :premises (@p908)) % 204.19/204.52 (step-pop @p910 :rule scope :premises (@p909)) % 204.19/204.52 (step @p773 :rule process_scope :premises (@p910) :args (@t464)) % 204.19/204.52 (step @p762 :rule symm :premises (@p52)) % 204.19/204.52 (step @p763 :rule trans :premises (@p113 @p53)) % 204.19/204.52 (step @p764 :rule cong :premises (@p763) :args (@t305)) % 204.19/204.52 (step @p217 :rule symm :premises (@p149)) % 204.19/204.52 (step @p218 :rule trans :premises (@p217 @p8)) % 204.19/204.52 (step @p223 :rule cong :premises (@p218) :args (@t324)) % 204.19/204.52 (step @p778 :rule trans :premises (@p177 @p223 @p764 @p762)) % 204.19/204.52 (step @p756 :rule symm :premises (@p82)) % 204.19/204.52 (step @p757 :rule trans :premises (@p113 @p54)) % 204.19/204.52 (step @p758 :rule cong :premises (@p757) :args (@t305)) % 204.19/204.52 (step @p779 :rule trans :premises (@p177 @p223 @p758 @p756)) % 204.19/204.52 (step @p780 :rule and_intro :premises (@p897 @p119 @p779 @p778)) % 204.19/204.52 (step @p781 :rule modus_ponens :premises (@p780 @p773)) % 204.19/204.52 (step-pop @p911 :rule scope :premises (@p781)) % 204.19/204.52 (step-pop @p912 :rule scope :premises (@p911)) % 204.19/204.52 (step-pop @p913 :rule scope :premises (@p912)) % 204.19/204.52 (step-pop @p914 :rule scope :premises (@p913)) % 204.19/204.52 (step-pop @p915 :rule scope :premises (@p914)) % 204.19/204.52 (step-pop @p916 :rule scope :premises (@p915)) % 204.19/204.52 (step-pop @p917 :rule scope :premises (@p916)) % 204.19/204.52 (step-pop @p918 :rule scope :premises (@p917)) % 204.19/204.52 (step-pop @p919 :rule scope :premises (@p918)) % 204.19/204.52 (step @p782 :rule process_scope :premises (@p919) :args (@t464)) % 204.19/204.52 (step @p792 :rule implies_elim :premises (@p782)) % 204.19/204.52 (step @p793 :rule cnf_and_neg :args (@t473)) % 204.19/204.52 (step @p794 :rule resolution :premises (@p793 @p792) :args (true @t473)) % 204.19/204.52 (step @p795 :rule eq_resolve :premises (@p794 @p740)) % 204.19/204.52 (step @p796 :rule reordering :premises (@p795) :args ((or @t345 @t344 @t343 @t458 @t472 @t470 @t469 @t464 @t467 @t466))) % 204.19/204.52 (step @p797 :rule chain_m_resolution :premises (@p796 @p177 @p8 @p149 @p729 @p119 @p82 @p54 @p52 @p53) :args (@t464 (@list false false false true false false false false false) (@list @t325 @t336 @t337 @t458 @t471 @t275 @t468 @t263 @t465))) % 204.19/204.52 (step @p798 :rule eq-symm :args (@t455 @t246)) % 204.19/204.52 (step @p799 :rule cong :premises (@p798) :args (@t474)) % 204.19/204.52 (step @p800 :rule cong :premises (@p799) :args (@t475)) % 204.19/204.52 (step @p801 :rule cong :premises (@p800) :args (@t476)) % 204.19/204.52 (step @p802 :rule cong :premises (@p28 @p801) :args ((=> @t256 @t476))) % 204.19/204.52 (assume-push @p920 @t256) % 204.19/204.52 (step @p804 :rule instantiate :premises (@p23) :args ((@list @t455))) % 204.19/204.52 (step-pop @p921 :rule scope :premises (@p804)) % 204.19/204.52 (step @p805 :rule process_scope :premises (@p921) :args (@t476)) % 204.19/204.52 (step @p807 :rule eq_resolve :premises (@p805 @p802)) % 204.19/204.52 (step @p808 :rule implies_elim :premises (@p807)) % 204.19/204.52 (step @p809 :rule chain_m_resolution :premises (@p808 @p23) :args (@t478 @t259 @t260)) % 204.19/204.52 (step @p810 :rule refl :args (@t481)) % 204.19/204.52 (step @p811 :rule bool-double-not-elim :args (@t477)) % 204.19/204.52 (step @p812 :rule nary_cong :premises (@p811 @p810) :args ((or (not @t478) @t481))) % 204.19/204.52 (step @p813 :rule eq-symm :args (@t480 @t455)) % 204.19/204.52 (step @p814 :rule bool-double-not-elim :args (@t482)) % 204.19/204.52 (step @p815 :rule trans :premises (@p814 @p813)) % 204.19/204.52 (step @p816 :rule refl :args (@t478)) % 204.19/204.52 (step @p817 :rule cong :premises (@p816 @p815) :args ((=> @t478 @t483))) % 204.19/204.52 (assume-push @p922 @t478) % 204.19/204.52 (step @p819 :rule skolemize :premises (@p809)) % 204.19/204.52 (step-pop @p923 :rule scope :premises (@p819)) % 204.19/204.52 (step @p820 :rule process_scope :premises (@p923) :args (@t483)) % 204.19/204.52 (step @p822 :rule eq_resolve :premises (@p820 @p817)) % 204.19/204.52 (step @p823 :rule implies_elim :premises (@p822)) % 204.19/204.52 (step @p824 :rule eq_resolve :premises (@p823 @p812)) % 204.19/204.52 (step @p825 :rule chain_m_resolution :premises (@p824 @p809) :args (@t481 @t266 (@list @t477))) % 204.19/204.52 (step @p826 :rule instantiate :premises (@p7) :args ((@list @t479))) % 204.19/204.52 (assume-push @p924 @t336) % 204.19/204.52 (assume-push @p925 @t263) % 204.19/204.52 (assume-push @p926 @t465) % 204.19/204.52 (assume-push @p927 @t481) % 204.19/204.52 (assume-push @p928 @t484) % 204.19/204.52 (step @p832 :rule symm :premises (@p825)) % 204.19/204.52 (step @p833 :rule trans :premises (@p113 @p826)) % 204.19/204.52 (step @p834 :rule cong :premises (@p833) :args (@t305)) % 204.19/204.52 (step @p835 :rule symm :premises (@p53)) % 204.19/204.52 (step @p836 :rule trans :premises (@p835 @p8)) % 204.19/204.52 (step @p837 :rule cong :premises (@p836) :args (@t262)) % 204.19/204.52 (step @p838 :rule trans :premises (@p52 @p837 @p834 @p832)) % 204.19/204.52 (step-pop @p929 :rule scope :premises (@p838)) % 204.19/204.52 (step-pop @p930 :rule scope :premises (@p929)) % 204.19/204.52 (step-pop @p931 :rule scope :premises (@p930)) % 204.19/204.52 (step-pop @p932 :rule scope :premises (@p931)) % 204.19/204.52 (step-pop @p933 :rule scope :premises (@p932)) % 204.19/204.52 (step @p839 :rule process_scope :premises (@p933) :args (@t463)) % 204.19/204.52 (step @p845 :rule implies_elim :premises (@p839)) % 204.19/204.52 (step @p846 :rule cnf_and_neg :args (@t485)) % 204.19/204.52 (step @p847 :rule resolution :premises (@p846 @p845) :args (true @t485)) % 204.19/204.52 (step @p848 :rule reordering :premises (@p847) :args ((or @t344 @t463 @t467 @t466 (not @t481) (not @t484)))) % 204.19/204.52 (step @p849 false :rule chain_m_resolution :premises (@p848 @p826 @p825 @p797 @p53 @p52 @p8) :args (false (@list false false true false false false) (@list @t484 @t481 @t463 @t465 @t263 @t336))) % 204.19/204.52 ) % 204.19/204.52 % SZS output end Proof % 204.19/204.52 % cvc5 exiting %------------------------------------------------------------------------------