%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWX153_1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 0.37s 0.63s % Output : Proof 0.35s % 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. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 23:03:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.51 %----Proving TH0 % 0.37/0.63 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.63 % SZS status Theorem % 0.37/0.63 % SZS output start Proof % 0.37/0.63 ( % 0.37/0.63 (declare-sort tptp.d_unsorted 0) % 0.37/0.63 (declare-sort $$unsorted 0) % 0.37/0.63 (declare-const tptp.d_unsorted_0 tptp.d_unsorted) % 0.37/0.63 (declare-const tptp.d2unsorted (-> tptp.d_unsorted $$unsorted)) % 0.37/0.63 (declare-const tptp.so (-> (-> $$unsorted $$unsorted Bool) Bool)) % 0.37/0.63 (declare-const tptp.total (-> (-> $$unsorted $$unsorted Bool) Bool)) % 0.37/0.63 (declare-const tptp.term (-> (-> $$unsorted $$unsorted Bool) Bool)) % 0.37/0.63 (declare-const tptp.ind (-> (-> $$unsorted $$unsorted Bool) Bool)) % 0.37/0.63 (declare-const tptp.innf (-> (-> $$unsorted $$unsorted Bool) $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.nfof (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.norm (-> (-> $$unsorted $$unsorted Bool) Bool)) % 0.37/0.63 (declare-const tptp.join (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.lconfl (-> (-> $$unsorted $$unsorted Bool) Bool)) % 0.37/0.63 (declare-const tptp.subrel (-> (-> $$unsorted $$unsorted Bool) (-> $$unsorted $$unsorted Bool) Bool)) % 0.37/0.63 (declare-const tptp.sconfl (-> (-> $$unsorted $$unsorted Bool) Bool)) % 0.37/0.63 (declare-const tptp.confl (-> (-> $$unsorted $$unsorted Bool) Bool)) % 0.37/0.63 (declare-const tptp.inv (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.po (-> (-> $$unsorted $$unsorted Bool) Bool)) % 0.37/0.63 (declare-const tptp.cr (-> (-> $$unsorted $$unsorted Bool) Bool)) % 0.37/0.63 (declare-const tptp.trsc (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.trc (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.tc (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.trans (-> (-> $$unsorted $$unsorted Bool) Bool)) % 0.37/0.63 (declare-const tptp.sc (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.asymm (-> (-> $$unsorted $$unsorted Bool) Bool)) % 0.37/0.63 (declare-const tptp.antisymm (-> (-> $$unsorted $$unsorted Bool) Bool)) % 0.37/0.63 (declare-const tptp.symm (-> (-> $$unsorted $$unsorted Bool) Bool)) % 0.37/0.63 (declare-const tptp.rc (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)) % 0.37/0.63 (declare-const tptp.irrefl (-> (-> $$unsorted $$unsorted Bool) Bool)) % 0.37/0.63 (declare-const tptp.refl (-> (-> $$unsorted $$unsorted Bool) Bool)) % 0.37/0.63 (declare-const tptp.mono (-> (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool) Bool)) % 0.37/0.63 (declare-const tptp.infl (-> (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool) Bool)) % 0.37/0.63 (declare-const tptp.idem (-> (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool) Bool)) % 0.37/0.63 (define @t1 () (@var "Y" $$unsorted)) % 0.37/0.63 (define @t2 () (@var "X" $$unsorted)) % 0.37/0.63 (define @t3 () (@var "Bound_variable_1538" (-> $$unsorted $$unsorted Bool))) % 0.37/0.63 (define @t4 () (@var "Bound_variable_663" $$unsorted)) % 0.37/0.63 (define @t5 () (@var "Bound_variable_661" $$unsorted)) % 0.37/0.63 (define @t6 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.37/0.63 (define @t7 () (_ (_ @t6 @t5) @t4)) % 0.37/0.63 (define @t8 () (not @t7)) % 0.37/0.63 (define @t9 () (@list @t5 @t4)) % 0.37/0.63 (define @t10 () (@var "Bound_variable_1106" $$unsorted)) % 0.37/0.63 (define @t11 () (@var "Bound_variable_672" $$unsorted)) % 0.37/0.63 (define @t12 () (_ @t3 @t11)) % 0.37/0.63 (define @t13 () (@var "Bound_variable_674" $$unsorted)) % 0.37/0.63 (define @t14 () (@list @t11 @t13 @t10)) % 0.37/0.63 (define @t15 () (@var "Bound_variable_1522" (-> $$unsorted $$unsorted Bool))) % 0.37/0.63 (define @t16 () (@var "Bound_variable_1125" $$unsorted)) % 0.37/0.63 (define @t17 () (_ @t15 @t11)) % 0.37/0.63 (define @t18 () (@list @t11 @t13 @t16)) % 0.37/0.63 (define @t19 () (@var "Bound_variable_1218" $$unsorted)) % 0.37/0.63 (define @t20 () (@var "S" (-> $$unsorted $$unsorted Bool))) % 0.37/0.63 (define @t21 () (_ @t20 @t2)) % 0.37/0.63 (define @t22 () (_ (_ @t20 @t5) @t4)) % 0.37/0.63 (define @t23 () (or @t8 @t22)) % 0.37/0.63 (define @t24 () (forall @t9 @t23)) % 0.37/0.63 (define @t25 () (not @t24)) % 0.37/0.63 (define @t26 () (_ @t20 @t11)) % 0.37/0.63 (define @t27 () (_ @t20 @t13)) % 0.37/0.63 (define @t28 () (_ @t26 @t13)) % 0.37/0.63 (define @t29 () (not @t28)) % 0.37/0.63 (define @t30 () (not (forall @t14 (or @t29 (not (_ @t27 @t10)) (_ @t26 @t10))))) % 0.37/0.63 (define @t31 () (@list @t20)) % 0.37/0.63 (define @t32 () (_ @t20 @t1)) % 0.37/0.63 (define @t33 () (not (forall @t18 (or @t29 (not (_ @t27 @t16)) (_ @t26 @t16))))) % 0.37/0.63 (define @t34 () (not (forall @t31 (or @t33 @t25 (_ @t32 @t19))))) % 0.37/0.63 (define @t35 () (@list @t19)) % 0.37/0.63 (define @t36 () (forall @t35 (or @t34 (not (forall @t31 (or @t30 @t25 (_ @t21 @t19))))))) % 0.37/0.63 (define @t37 () (= @t2 @t1)) % 0.37/0.63 (define @t38 () (_ @t21 @t1)) % 0.37/0.63 (define @t39 () (@var "Z" $$unsorted)) % 0.37/0.63 (define @t40 () (_ @t26 @t39)) % 0.37/0.63 (define @t41 () (_ @t27 @t39)) % 0.37/0.63 (define @t42 () (not @t41)) % 0.37/0.63 (define @t43 () (or @t29 @t42 @t40)) % 0.37/0.63 (define @t44 () (@list @t11 @t13 @t39)) % 0.37/0.63 (define @t45 () (forall @t44 @t43)) % 0.37/0.63 (define @t46 () (not @t45)) % 0.37/0.63 (define @t47 () (or @t46 @t25 @t38)) % 0.37/0.63 (define @t48 () (forall @t31 @t47)) % 0.37/0.63 (define @t49 () (not @t48)) % 0.37/0.63 (define @t50 () (_ @t32 @t2)) % 0.37/0.63 (define @t51 () (forall @t31 (or @t46 @t25 @t50))) % 0.37/0.63 (define @t52 () (not @t37)) % 0.37/0.63 (define @t53 () (@list @t6)) % 0.37/0.63 (define @t54 () (@var "Bound_variable_1460" (-> $$unsorted $$unsorted Bool))) % 0.37/0.63 (define @t55 () (_ @t54 @t11)) % 0.37/0.63 (define @t56 () (@var "Bound_variable_1444" (-> $$unsorted $$unsorted Bool))) % 0.37/0.63 (define @t57 () (_ @t56 @t11)) % 0.37/0.63 (define @t58 () (not (forall @t35 (or @t34 (not (forall @t31 (or @t30 @t25 (_ (_ @t20 @t39) @t19)))))))) % 0.37/0.63 (define @t59 () (= @t1 @t39)) % 0.37/0.63 (define @t60 () (@var "Bound_variable_1422" $$unsorted)) % 0.37/0.63 (define @t61 () (@var "Bound_variable_1387" (-> $$unsorted $$unsorted Bool))) % 0.37/0.63 (define @t62 () (_ @t61 @t11)) % 0.37/0.63 (define @t63 () (@var "Bound_variable_1371" (-> $$unsorted $$unsorted Bool))) % 0.37/0.63 (define @t64 () (_ @t63 @t11)) % 0.37/0.63 (define @t65 () (@var "Bound_variable_1347" $$unsorted)) % 0.37/0.63 (define @t66 () (_ @t6 @t2)) % 0.37/0.63 (define @t67 () (_ @t66 @t39)) % 0.37/0.63 (define @t68 () (not @t67)) % 0.37/0.63 (define @t69 () (@var "Bound_variable_1309" (-> $$unsorted $$unsorted Bool))) % 0.37/0.63 (define @t70 () (_ @t69 @t11)) % 0.37/0.63 (define @t71 () (@var "Bound_variable_1293" (-> $$unsorted $$unsorted Bool))) % 0.37/0.63 (define @t72 () (_ @t71 @t11)) % 0.37/0.63 (define @t73 () (_ @t66 @t1)) % 0.37/0.63 (define @t74 () (not @t73)) % 0.37/0.63 (define @t75 () (@list @t6 @t2 @t1)) % 0.37/0.63 (define @t76 () (@var "Bound_variable_985" $$unsorted)) % 0.37/0.63 (define @t77 () (@var "Bound_variable_1049" $$unsorted)) % 0.37/0.63 (define @t78 () (@list @t76)) % 0.37/0.63 (define @t79 () (@var "Bound_variable_1075" $$unsorted)) % 0.37/0.63 (define @t80 () (@list @t1)) % 0.37/0.63 (define @t81 () (@var "Bound_variable_917" $$unsorted)) % 0.37/0.63 (define @t82 () (@var "P" (-> $$unsorted Bool))) % 0.37/0.63 (define @t83 () (_ @t82 @t81)) % 0.37/0.63 (define @t84 () (_ @t82 @t2)) % 0.37/0.63 (define @t85 () (_ @t82 @t1)) % 0.37/0.63 (define @t86 () (or @t49 @t85)) % 0.37/0.63 (define @t87 () (forall @t80 @t86)) % 0.37/0.63 (define @t88 () (not @t87)) % 0.37/0.63 (define @t89 () (or @t88 @t84)) % 0.37/0.63 (define @t90 () (@list @t2)) % 0.37/0.63 (define @t91 () (forall @t90 @t89)) % 0.37/0.63 (define @t92 () (not @t91)) % 0.37/0.63 (define @t93 () (or @t92 @t83)) % 0.37/0.63 (define @t94 () (@list @t82 @t81)) % 0.37/0.63 (define @t95 () (forall @t94 @t93)) % 0.37/0.63 (define @t96 () (lambda @t53 @t95)) % 0.37/0.63 (define @t97 () (= tptp.ind @t96)) % 0.37/0.63 (define @t98 () (@var "A" (-> $$unsorted Bool))) % 0.37/0.63 (define @t99 () (@var "Bound_variable_862" $$unsorted)) % 0.37/0.63 (define @t100 () (_ @t6 @t1)) % 0.37/0.63 (define @t101 () (_ @t100 @t2)) % 0.37/0.63 (define @t102 () (@list @t2 @t1)) % 0.37/0.63 (define @t103 () (forall (@list @t2 @t1 @t39) (or @t74 (not (_ @t100 @t39)) @t67))) % 0.37/0.63 (define @t104 () (not @t101)) % 0.37/0.63 (define @t105 () (forall @t102 (or @t74 @t104))) % 0.37/0.63 (define @t106 () (forall @t102 (or @t74 @t104 @t37))) % 0.37/0.63 (define @t107 () (_ @t66 @t2)) % 0.37/0.63 (define @t108 () (forall @t90 @t107)) % 0.37/0.63 (define @t109 () (@var "Flatten_var_1" $$unsorted)) % 0.37/0.63 (define @t110 () (@var "Flatten_var_0" $$unsorted)) % 0.37/0.63 (define @t111 () (forall @t31 (or @t46 @t25 (_ (_ @t20 @t110) @t109)))) % 0.37/0.63 (define @t112 () (= @t110 @t109)) % 0.37/0.63 (define @t113 () (@list @t6 @t110 @t109)) % 0.37/0.63 (define @t114 () (lambda @t75 @t48)) % 0.37/0.63 (define @t115 () (= tptp.tc @t114)) % 0.37/0.63 (define @t116 () (@var "Bound_variable_512" $$unsorted)) % 0.37/0.63 (define @t117 () (@var "Bound_variable_510" $$unsorted)) % 0.37/0.63 (define @t118 () (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool))) % 0.37/0.63 (define @t119 () (_ @t118 @t6)) % 0.37/0.63 (define @t120 () (forall @t102 (or @t74 @t38))) % 0.37/0.63 (define @t121 () (@list @t118)) % 0.37/0.63 (define @t122 () (@var "DU2" tptp.d_unsorted)) % 0.37/0.63 (define @t123 () (@var "DU1" tptp.d_unsorted)) % 0.37/0.63 (define @t124 () (@var "DU" tptp.d_unsorted)) % 0.37/0.63 (define @t125 () (@list @t124)) % 0.37/0.63 (define @t126 () (@var "U" $$unsorted)) % 0.37/0.63 (define @t127 () (forall @t90 @t84)) % 0.37/0.63 (define @t128 () (_ (_ (_ tptp.tc @t6) @t2) @t1)) % 0.37/0.63 (define @t129 () (forall @t80 (=> @t128 @t85))) % 0.37/0.63 (define @t130 () (=> @t129 @t84)) % 0.37/0.63 (define @t131 () (forall @t90 @t130)) % 0.37/0.63 (define @t132 () (=> @t131 @t127)) % 0.37/0.63 (define @t133 () (@list @t82)) % 0.37/0.63 (define @t134 () (forall @t133 @t132)) % 0.37/0.63 (define @t135 () (lambda @t53 @t134)) % 0.37/0.63 (define @t136 () (= tptp.ind @t135)) % 0.37/0.63 (define @t137 () (not @t136)) % 0.37/0.63 (define @t138 () (_ @t82 @t81)) % 0.37/0.63 (define @t139 () (_ @t82 @t2)) % 0.37/0.63 (define @t140 () (_ @t82 @t1)) % 0.37/0.63 (define @t141 () (_ @t20 @t2 @t1)) % 0.37/0.63 (define @t142 () (_ @t20 @t5 @t4)) % 0.37/0.63 (define @t143 () (_ @t6 @t5 @t4)) % 0.37/0.63 (define @t144 () (not (forall @t9 (or (not @t143) @t142)))) % 0.37/0.63 (define @t145 () (_ @t20 @t11 @t39)) % 0.37/0.63 (define @t146 () (_ @t20 @t13 @t39)) % 0.37/0.63 (define @t147 () (_ @t20 @t11 @t13)) % 0.37/0.63 (define @t148 () (not (forall @t44 (or (not @t147) (not @t146) @t145)))) % 0.37/0.63 (define @t149 () (forall @t31 (or @t148 @t144 @t141))) % 0.37/0.63 (define @t150 () (not @t149)) % 0.37/0.63 (define @t151 () (not (forall @t80 (or @t150 @t140)))) % 0.37/0.63 (define @t152 () (not (forall @t90 (or @t151 @t139)))) % 0.37/0.63 (define @t153 () (lambda @t53 (forall @t94 (or @t152 @t138)))) % 0.37/0.63 (define @t154 () (@purify @t153)) % 0.37/0.63 (define @t155 () (@var "BOUND_VARIABLE_8473" $$unsorted)) % 0.37/0.63 (define @t156 () (_ @t82 @t155)) % 0.37/0.63 (define @t157 () (@list @t82 @t155)) % 0.37/0.63 (define @t158 () (lambda @t53 (forall @t157 (or @t152 @t156)))) % 0.37/0.63 (define @t159 () (@purify @t158)) % 0.37/0.63 (define @t160 () (= @t153 @t158)) % 0.37/0.63 (define @t161 () (_ (lambda @t75 @t149) @t6 @t2 @t1)) % 0.37/0.63 (define @t162 () (not @t161)) % 0.37/0.63 (define @t163 () (or @t162 @t140)) % 0.37/0.63 (define @t164 () (forall @t80 @t163)) % 0.37/0.63 (define @t165 () (not @t164)) % 0.37/0.63 (define @t166 () (or @t165 @t139)) % 0.37/0.63 (define @t167 () (forall @t90 @t166)) % 0.37/0.63 (define @t168 () (not @t167)) % 0.37/0.63 (define @t169 () (or @t168 @t156)) % 0.37/0.63 (define @t170 () (forall @t157 @t169)) % 0.37/0.63 (define @t171 () (lambda @t53 @t170)) % 0.37/0.63 (define @t172 () (= @t153 @t171)) % 0.37/0.63 (define @t173 () (or @t148 @t144 @t38)) % 0.37/0.63 (define @t174 () (tptp.tc @t6 @t2 @t1)) % 0.37/0.63 (define @t175 () (not @t174)) % 0.37/0.63 (define @t176 () (or @t175 @t140)) % 0.37/0.63 (define @t177 () (forall @t80 @t176)) % 0.37/0.63 (define @t178 () (not @t177)) % 0.37/0.63 (define @t179 () (or @t178 @t139)) % 0.37/0.63 (define @t180 () (forall @t90 @t179)) % 0.37/0.63 (define @t181 () (not @t180)) % 0.37/0.63 (define @t182 () (or @t181 @t156)) % 0.37/0.63 (define @t183 () (forall @t157 @t182)) % 0.37/0.63 (define @t184 () (lambda @t53 @t183)) % 0.37/0.63 (define @t185 () (or @t152 @t83)) % 0.37/0.63 (define @t186 () (or @t151 @t84)) % 0.37/0.63 (define @t187 () (or @t150 @t85)) % 0.37/0.63 (define @t188 () (= tptp.ind @t184)) % 0.37/0.63 (define @t189 () (@list @t155)) % 0.37/0.63 (define @t190 () (forall @t189 @t182)) % 0.37/0.63 (define @t191 () (forall @t189 @t156)) % 0.37/0.63 (define @t192 () (or @t181 @t191)) % 0.37/0.63 (define @t193 () (forall @t90 @t139)) % 0.37/0.63 (define @t194 () (or @t178 @t84)) % 0.37/0.63 (define @t195 () (not @t128)) % 0.37/0.63 (define @t196 () (or @t195 @t85)) % 0.37/0.63 (define @t197 () (@const 0 (-> $$unsorted $$unsorted Bool))) % 0.37/0.63 (define @t198 () (not (forall @t90 (or (not (forall @t80 (or (not (forall @t31 (or @t148 (not (forall @t9 (or (not (_ @t197 @t5 @t4)) @t142))) @t141))) @t140))) @t139)))) % 0.37/0.63 (define @t199 () (forall @t157 (or @t198 @t156))) % 0.37/0.63 (define @t200 () (forall @t94 (or @t198 @t138))) % 0.37/0.63 (define @t201 () (= (_ @t153 @t197) @t200)) % 0.37/0.63 (define @t202 () (_ @t154 @t197)) % 0.37/0.63 (define @t203 () (= (_ @t158 @t197) @t199)) % 0.37/0.63 (define @t204 () (_ @t159 @t197)) % 0.37/0.63 (define @t205 () (= @t204 @t202)) % 0.37/0.63 (define @t206 () (not @t205)) % 0.37/0.63 (define @t207 () (= @t159 @t154)) % 0.37/0.63 (define @t208 () (or @t207 @t206)) % 0.37/0.63 (define @t209 () (= @t200 @t199)) % 0.37/0.63 (define @t210 () (@list true)) % 0.37/0.63 (define @t211 () (@var "BOUND_VARIABLE_8697" $$unsorted)) % 0.37/0.63 (define @t212 () (@var "BOUND_VARIABLE_8696" (-> $$unsorted Bool))) % 0.37/0.63 (define @t213 () (@var "BOUND_VARIABLE_8688" $$unsorted)) % 0.37/0.63 (define @t214 () (@var "BOUND_VARIABLE_8689" $$unsorted)) % 0.37/0.63 (define @t215 () (@var "BOUND_VARIABLE_8690" (-> $$unsorted $$unsorted Bool))) % 0.37/0.63 (define @t216 () (@var "BOUND_VARIABLE_8692" $$unsorted)) % 0.37/0.63 (define @t217 () (@var "BOUND_VARIABLE_8691" $$unsorted)) % 0.37/0.63 (define @t218 () (@var "BOUND_VARIABLE_8695" $$unsorted)) % 0.37/0.63 (define @t219 () (@var "BOUND_VARIABLE_8693" $$unsorted)) % 0.37/0.63 (define @t220 () (@var "BOUND_VARIABLE_8694" $$unsorted)) % 0.37/0.63 (define @t221 () (@list @t213 @t214 @t215 @t217 @t216 @t219 @t220 @t218 @t212 @t211)) % 0.37/0.63 (define @t222 () (not @t200)) % 0.37/0.63 (assume @p1 (and (forall (@list @t126) (exists @t125 (= @t126 (_ tptp.d2unsorted @t124)))) (forall @t125 (= @t124 tptp.d_unsorted_0)) (forall (@list @t123 @t122) (=> (= (_ tptp.d2unsorted @t123) (_ tptp.d2unsorted @t122)) (= @t123 @t122))) (= tptp.subrel (lambda (@list @t6 @t20) @t120)) (= tptp.inv (lambda @t75 @t101)) (= tptp.idem (lambda @t121 (forall @t53 (= @t119 (_ @t118 @t119))))) (= tptp.infl (lambda @t121 (forall @t75 (or @t74 (_ (_ @t119 @t2) @t1))))) (= tptp.mono (lambda @t121 (forall (@list @t6 @t20 @t117 @t116) (or (not @t120) (not (_ (_ @t119 @t117) @t116)) (_ (_ (_ @t118 @t20) @t117) @t116))))) (= tptp.refl (lambda @t53 @t108)) (= tptp.irrefl (lambda @t53 (forall @t90 (not @t107)))) (= tptp.rc (lambda @t75 (or @t37 @t73))) (= tptp.symm (lambda @t53 (forall @t102 (or @t74 @t101)))) (= tptp.antisymm (lambda @t53 @t106)) (= tptp.asymm (lambda @t53 @t105)) (= tptp.sc (lambda @t75 (or @t101 @t73))) (= tptp.trans (lambda @t53 @t103)) @t115 (= tptp.trc (lambda @t113 (or @t112 @t111))) (= tptp.trsc (lambda @t113 (or @t112 (forall @t31 (or @t46 @t25 (_ (_ @t20 @t109) @t110))) @t111))) (= tptp.po (lambda @t53 (and @t108 @t106 @t103))) (= tptp.so (lambda @t53 (and @t105 @t103))) (= tptp.total (lambda @t53 (forall @t102 (or @t37 @t73 @t101)))) (= tptp.term (lambda @t53 (forall (@list @t98 @t99) (or (not (_ @t98 @t99)) (not (forall @t90 (or (not (_ @t98 @t2)) (not (forall @t80 (or (not (_ @t98 @t1)) @t74)))))))))) @t97 (= tptp.innf (lambda (@list @t6 @t2) (forall @t80 @t74))) (= tptp.nfof (lambda @t75 (and (or @t37 @t51) (forall @t78 (not (_ @t66 @t76)))))) (= tptp.norm (lambda @t53 (forall (@list @t2 @t79) (or (not (_ @t66 @t79)) (not (forall (@list @t77) (or (not (forall @t31 (or @t46 @t25 (_ @t21 @t77)))) (not (forall @t78 (not (_ (_ @t6 @t77) @t76))))))))))) (= tptp.join (lambda @t75 (not (and @t52 (not (forall @t31 (or @t33 @t25 @t50))) (not (forall @t31 (or @t30 @t25 @t38))) @t36)))) (= tptp.lconfl (lambda @t53 (forall (@list @t2 @t1 @t39 @t71 @t69) (or @t68 @t74 @t59 @t58 (not (forall @t18 (or (not (_ @t72 @t13)) (not (_ (_ @t71 @t13) @t16)) (_ @t72 @t16)))) (not (forall @t9 (or @t8 (_ (_ @t71 @t5) @t4)))) (_ (_ @t71 @t1) @t39) (not (forall @t14 (or (not (_ @t70 @t13)) (not (_ (_ @t69 @t13) @t10)) (_ @t70 @t10)))) (not (forall @t9 (or @t8 (_ (_ @t69 @t5) @t4)))) (_ (_ @t69 @t39) @t1))))) (= tptp.sconfl (lambda @t53 (forall (@list @t2 @t1 @t39 @t63 @t61) (or @t68 (and @t52 (not (forall @t31 (or (not (forall (@list @t11 @t13 @t65) (or @t29 (not (_ @t27 @t65)) (_ @t26 @t65)))) @t25 @t38)))) @t59 @t58 (not (forall @t18 (or (not (_ @t64 @t13)) (not (_ (_ @t63 @t13) @t16)) (_ @t64 @t16)))) (not (forall @t9 (or @t8 (_ (_ @t63 @t5) @t4)))) (_ (_ @t63 @t1) @t39) (not (forall @t14 (or (not (_ @t62 @t13)) (not (_ (_ @t61 @t13) @t10)) (_ @t62 @t10)))) (not (forall @t9 (or @t8 (_ (_ @t61 @t5) @t4)))) (_ (_ @t61 @t39) @t1))))) (= tptp.confl (lambda @t53 (forall (@list @t2 @t1 @t39 @t56 @t54) (or (and (not (= @t2 @t39)) (not (forall @t31 (or @t30 @t25 (_ @t21 @t39))))) (and @t52 (not (forall @t31 (or (not (forall (@list @t11 @t13 @t60) (or @t29 (not (_ @t27 @t60)) (_ @t26 @t60)))) @t25 @t38)))) @t59 @t58 (not (forall @t18 (or (not (_ @t57 @t13)) (not (_ (_ @t56 @t13) @t16)) (_ @t57 @t16)))) (not (forall @t9 (or @t8 (_ (_ @t56 @t5) @t4)))) (_ (_ @t56 @t1) @t39) (not (forall @t14 (or (not (_ @t55 @t13)) (not (_ (_ @t54 @t13) @t10)) (_ @t55 @t10)))) (not (forall @t9 (or @t8 (_ (_ @t54 @t5) @t4)))) (_ (_ @t54 @t39) @t1))))) (= tptp.cr (lambda @t53 (forall (@list @t2 @t1 @t15 @t3) (or (and @t52 (not @t51) @t49) @t37 (not @t36) (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))))))) % 0.37/0.63 (assume @p2 @t137) % 0.37/0.63 (assume @p3 true) % 0.37/0.63 (step @p4 :rule eq-symm :args (@t154 @t159)) % 0.37/0.63 (step @p5 :rule eq-refl :args (@t158)) % 0.37/0.63 (step @p6 :rule skolem_intro :args (@t159)) % 0.37/0.63 (step @p7 :rule refl :args (@t158)) % 0.37/0.63 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t158 @t159))) % 0.37/0.63 (step @p9 :rule trans :premises (@p8 @p5)) % 0.37/0.63 (step @p10 :rule true_elim :premises (@p9)) % 0.37/0.63 (step @p11 :rule eq-refl :args (@t153)) % 0.37/0.63 (step @p12 :rule skolem_intro :args (@t154)) % 0.37/0.63 (step @p13 :rule refl :args (@t153)) % 0.37/0.63 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t153 @t154))) % 0.37/0.63 (step @p15 :rule trans :premises (@p14 @p11)) % 0.37/0.63 (step @p16 :rule true_elim :premises (@p15)) % 0.37/0.63 (step @p17 :rule cong :premises (@p16 @p10) :args (@t160)) % 0.37/0.63 (step @p18 :rule trans :premises (@p17 @p4)) % 0.37/0.63 (step @p19 :rule cong :premises (@p18) :args ((not @t160))) % 0.37/0.63 (step @p20 :rule refl :args (@t156)) % 0.37/0.63 (step @p21 :rule refl :args (@t139)) % 0.37/0.63 (step @p22 :rule refl :args (@t140)) % 0.37/0.63 (step @p23 :rule beta-reduce :args ((= @t161 @t149))) % 0.37/0.63 (step @p24 :rule cong :premises (@p23) :args (@t162)) % 0.37/0.63 (step @p25 :rule nary_cong :premises (@p24 @p22) :args (@t163)) % 0.37/0.63 (step @p26 :rule cong :premises (@p25) :args (@t164)) % 0.37/0.63 (step @p27 :rule cong :premises (@p26) :args (@t165)) % 0.37/0.63 (step @p28 :rule nary_cong :premises (@p27 @p21) :args (@t166)) % 0.35/0.63 (step @p29 :rule cong :premises (@p28) :args (@t167)) % 0.35/0.63 (step @p30 :rule cong :premises (@p29) :args (@t168)) % 0.35/0.63 (step @p31 :rule nary_cong :premises (@p30 @p20) :args (@t169)) % 0.35/0.63 (step @p32 :rule cong :premises (@p31) :args (@t170)) % 0.35/0.63 (step @p33 :rule cong :premises (@p32) :args (@t171)) % 0.35/0.63 (step @p34 :rule cong :premises (@p13 @p33) :args (@t172)) % 0.35/0.63 (step @p35 :rule cong :premises (@p34) :args ((not @t172))) % 0.35/0.63 (step @p36 :rule refl :args (@t1)) % 0.35/0.63 (step @p37 :rule refl :args (@t2)) % 0.35/0.63 (step @p38 :rule refl :args (@t6)) % 0.35/0.63 (step @p39 :rule refl :args (@t141)) % 0.35/0.63 (step @p40 :rule refl :args (@t38)) % 0.35/0.63 (step @p41 :rule cong :premises (@p40 @p39) :args ((= @t38 @t141))) % 0.35/0.63 (step @p42 :rule symm :premises (@p41)) % 0.35/0.63 (step @p43 :rule eq_resolve :premises (@p40 @p42)) % 0.35/0.63 (step @p44 :rule refl :args (@t144)) % 0.35/0.63 (step @p45 :rule refl :args (@t148)) % 0.35/0.63 (step @p46 :rule nary_cong :premises (@p45 @p44 @p43) :args (@t173)) % 0.35/0.63 (step @p47 :rule cong :premises (@p46) :args ((forall @t31 @t173))) % 0.35/0.63 (step @p48 :rule refl :args (@t38)) % 0.35/0.63 (step @p49 :rule refl :args (@t142)) % 0.35/0.63 (step @p50 :rule refl :args (@t22)) % 0.35/0.63 (step @p51 :rule cong :premises (@p50 @p49) :args ((= @t22 @t142))) % 0.35/0.63 (step @p52 :rule symm :premises (@p51)) % 0.35/0.63 (step @p53 :rule eq_resolve :premises (@p50 @p52)) % 0.35/0.63 (step @p54 :rule refl :args (@t143)) % 0.35/0.63 (step @p55 :rule refl :args (@t7)) % 0.35/0.63 (step @p56 :rule cong :premises (@p55 @p54) :args ((= @t7 @t143))) % 0.35/0.63 (step @p57 :rule symm :premises (@p56)) % 0.35/0.63 (step @p58 :rule eq_resolve :premises (@p55 @p57)) % 0.35/0.63 (step @p59 :rule cong :premises (@p58) :args (@t8)) % 0.35/0.63 (step @p60 :rule nary_cong :premises (@p59 @p53) :args (@t23)) % 0.35/0.63 (step @p61 :rule cong :premises (@p60) :args (@t24)) % 0.35/0.63 (step @p62 :rule cong :premises (@p61) :args (@t25)) % 0.35/0.63 (step @p63 :rule refl :args (@t145)) % 0.35/0.63 (step @p64 :rule refl :args (@t40)) % 0.35/0.63 (step @p65 :rule cong :premises (@p64 @p63) :args ((= @t40 @t145))) % 0.35/0.63 (step @p66 :rule symm :premises (@p65)) % 0.35/0.63 (step @p67 :rule eq_resolve :premises (@p64 @p66)) % 0.35/0.63 (step @p68 :rule refl :args (@t146)) % 0.35/0.63 (step @p69 :rule refl :args (@t41)) % 0.35/0.63 (step @p70 :rule cong :premises (@p69 @p68) :args ((= @t41 @t146))) % 0.35/0.63 (step @p71 :rule symm :premises (@p70)) % 0.35/0.63 (step @p72 :rule eq_resolve :premises (@p69 @p71)) % 0.35/0.63 (step @p73 :rule cong :premises (@p72) :args (@t42)) % 0.35/0.63 (step @p74 :rule refl :args (@t147)) % 0.35/0.63 (step @p75 :rule refl :args (@t28)) % 0.35/0.63 (step @p76 :rule cong :premises (@p75 @p74) :args ((= @t28 @t147))) % 0.35/0.63 (step @p77 :rule symm :premises (@p76)) % 0.35/0.63 (step @p78 :rule eq_resolve :premises (@p75 @p77)) % 0.35/0.63 (step @p79 :rule cong :premises (@p78) :args (@t29)) % 0.35/0.63 (step @p80 :rule nary_cong :premises (@p79 @p73 @p67) :args (@t43)) % 0.35/0.63 (step @p81 :rule cong :premises (@p80) :args (@t45)) % 0.35/0.63 (step @p82 :rule cong :premises (@p81) :args (@t46)) % 0.35/0.63 (step @p83 :rule nary_cong :premises (@p82 @p62 @p48) :args (@t47)) % 0.35/0.63 (step @p84 :rule cong :premises (@p83) :args (@t48)) % 0.35/0.63 (step @p85 :rule trans :premises (@p84 @p47)) % 0.35/0.63 (step @p86 :rule cong :premises (@p85) :args (@t114)) % 0.35/0.63 (step @p87 :rule refl :args (tptp.tc)) % 0.35/0.63 (step @p88 :rule cong :premises (@p87 @p86) :args (@t115)) % 0.35/0.63 (step @p89 :rule and_elim :premises (@p1) :args (16)) % 0.35/0.63 (step @p90 :rule eq_resolve :premises (@p89 @p88)) % 0.35/0.63 (step @p91 :rule ho_cong :premises (@p90 @p38 @p37 @p36)) % 0.35/0.63 (step @p92 :rule cong :premises (@p91) :args (@t175)) % 0.35/0.63 (step @p93 :rule nary_cong :premises (@p92 @p22) :args (@t176)) % 0.35/0.63 (step @p94 :rule cong :premises (@p93) :args (@t177)) % 0.35/0.63 (step @p95 :rule cong :premises (@p94) :args (@t178)) % 0.35/0.63 (step @p96 :rule nary_cong :premises (@p95 @p21) :args (@t179)) % 0.35/0.63 (step @p97 :rule cong :premises (@p96) :args (@t180)) % 0.35/0.63 (step @p98 :rule cong :premises (@p97) :args (@t181)) % 0.35/0.63 (step @p99 :rule nary_cong :premises (@p98 @p20) :args (@t182)) % 0.35/0.63 (step @p100 :rule cong :premises (@p99) :args (@t183)) % 0.35/0.63 (step @p101 :rule cong :premises (@p100) :args (@t184)) % 0.35/0.63 (step @p102 :rule refl :args (@t138)) % 0.35/0.63 (step @p103 :rule refl :args (@t83)) % 0.35/0.63 (step @p104 :rule cong :premises (@p103 @p102) :args ((= @t83 @t138))) % 0.35/0.63 (step @p105 :rule symm :premises (@p104)) % 0.35/0.63 (step @p106 :rule eq_resolve :premises (@p103 @p105)) % 0.35/0.63 (step @p107 :rule refl :args (@t152)) % 0.35/0.63 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t185)) % 0.35/0.63 (step @p109 :rule cong :premises (@p108) :args ((forall @t94 @t185))) % 0.35/0.63 (step @p110 :rule refl :args (@t83)) % 0.35/0.63 (step @p111 :rule refl :args (@t139)) % 0.35/0.63 (step @p112 :rule refl :args (@t84)) % 0.35/0.63 (step @p113 :rule cong :premises (@p112 @p111) :args ((= @t84 @t139))) % 0.35/0.63 (step @p114 :rule symm :premises (@p113)) % 0.35/0.63 (step @p115 :rule eq_resolve :premises (@p112 @p114)) % 0.35/0.63 (step @p116 :rule refl :args (@t151)) % 0.35/0.63 (step @p117 :rule nary_cong :premises (@p116 @p115) :args (@t186)) % 0.35/0.63 (step @p118 :rule cong :premises (@p117) :args ((forall @t90 @t186))) % 0.35/0.63 (step @p119 :rule refl :args (@t84)) % 0.35/0.63 (step @p120 :rule refl :args (@t140)) % 0.35/0.63 (step @p121 :rule refl :args (@t85)) % 0.35/0.63 (step @p122 :rule cong :premises (@p121 @p120) :args ((= @t85 @t140))) % 0.35/0.63 (step @p123 :rule symm :premises (@p122)) % 0.35/0.63 (step @p124 :rule eq_resolve :premises (@p121 @p123)) % 0.35/0.63 (step @p125 :rule refl :args (@t150)) % 0.35/0.63 (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t187)) % 0.35/0.63 (step @p127 :rule cong :premises (@p126) :args ((forall @t80 @t187))) % 0.35/0.63 (step @p128 :rule refl :args (@t85)) % 0.35/0.63 (step @p129 :rule cong :premises (@p85) :args (@t49)) % 0.35/0.63 (step @p130 :rule nary_cong :premises (@p129 @p128) :args (@t86)) % 0.35/0.63 (step @p131 :rule cong :premises (@p130) :args (@t87)) % 0.35/0.63 (step @p132 :rule trans :premises (@p131 @p127)) % 0.35/0.63 (step @p133 :rule cong :premises (@p132) :args (@t88)) % 0.35/0.63 (step @p134 :rule nary_cong :premises (@p133 @p119) :args (@t89)) % 0.35/0.63 (step @p135 :rule cong :premises (@p134) :args (@t91)) % 0.35/0.63 (step @p136 :rule trans :premises (@p135 @p118)) % 0.35/0.63 (step @p137 :rule cong :premises (@p136) :args (@t92)) % 0.35/0.63 (step @p138 :rule nary_cong :premises (@p137 @p110) :args (@t93)) % 0.35/0.63 (step @p139 :rule cong :premises (@p138) :args (@t95)) % 0.35/0.63 (step @p140 :rule trans :premises (@p139 @p109)) % 0.35/0.63 (step @p141 :rule cong :premises (@p140) :args (@t96)) % 0.35/0.63 (step @p142 :rule refl :args (tptp.ind)) % 0.35/0.63 (step @p143 :rule cong :premises (@p142 @p141) :args (@t97)) % 0.35/0.63 (step @p144 :rule and_elim :premises (@p1) :args (23)) % 0.35/0.63 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 0.35/0.63 (step @p146 :rule cong :premises (@p145 @p101) :args (@t188)) % 0.35/0.63 (step @p147 :rule cong :premises (@p146) :args ((not @t188))) % 0.35/0.63 (step @p148 :rule trans :premises (@p147 @p35)) % 0.35/0.63 (step @p149 :rule quant-merge-prenex :args ((= (forall @t133 @t190) @t183))) % 0.35/0.63 (step @p150 :rule alpha_equiv :args (@t191 (@list @t155) (@list @t2))) % 0.35/0.63 (step @p151 :rule refl :args (@t181)) % 0.35/0.63 (step @p152 :rule nary_cong :premises (@p151 @p150) :args (@t192)) % 0.35/0.63 (step @p153 :rule quant-miniscope-or :args ((= @t190 @t192))) % 0.35/0.63 (step @p154 :rule trans :premises (@p153 @p152)) % 0.35/0.63 (step @p155 :rule symm :premises (@p154)) % 0.35/0.63 (step @p156 :rule cong :premises (@p155) :args ((forall @t133 (or @t181 @t193)))) % 0.35/0.63 (step @p157 :rule trans :premises (@p156 @p149)) % 0.35/0.63 (step @p158 :rule bool-impl-elim :args (@t180 @t193)) % 0.35/0.63 (step @p159 :rule cong :premises (@p158) :args ((forall @t133 (=> @t180 @t193)))) % 0.35/0.63 (step @p160 :rule trans :premises (@p159 @p157)) % 0.35/0.63 (step @p161 :rule cong :premises (@p115) :args (@t127)) % 0.35/0.63 (step @p162 :rule refl :args (@t178)) % 0.35/0.63 (step @p163 :rule nary_cong :premises (@p162 @p115) :args (@t194)) % 0.35/0.63 (step @p164 :rule cong :premises (@p163) :args ((forall @t90 @t194))) % 0.35/0.63 (step @p165 :rule bool-impl-elim :args (@t177 @t84)) % 0.35/0.63 (step @p166 :rule cong :premises (@p165) :args ((forall @t90 (=> @t177 @t84)))) % 0.35/0.63 (step @p167 :rule trans :premises (@p166 @p164)) % 0.35/0.63 (step @p168 :rule refl :args (@t174)) % 0.35/0.63 (step @p169 :rule refl :args (@t128)) % 0.35/0.63 (step @p170 :rule cong :premises (@p169 @p168) :args ((= @t128 @t174))) % 0.35/0.63 (step @p171 :rule symm :premises (@p170)) % 0.35/0.63 (step @p172 :rule eq_resolve :premises (@p169 @p171)) % 0.35/0.63 (step @p173 :rule cong :premises (@p172) :args (@t195)) % 0.35/0.63 (step @p174 :rule nary_cong :premises (@p173 @p124) :args (@t196)) % 0.35/0.63 (step @p175 :rule cong :premises (@p174) :args ((forall @t80 @t196))) % 0.35/0.63 (step @p176 :rule bool-impl-elim :args (@t128 @t85)) % 0.35/0.63 (step @p177 :rule cong :premises (@p176) :args (@t129)) % 0.35/0.63 (step @p178 :rule trans :premises (@p177 @p175)) % 0.35/0.63 (step @p179 :rule cong :premises (@p178 @p119) :args (@t130)) % 0.35/0.63 (step @p180 :rule cong :premises (@p179) :args (@t131)) % 0.35/0.63 (step @p181 :rule trans :premises (@p180 @p167)) % 0.35/0.63 (step @p182 :rule cong :premises (@p181 @p161) :args (@t132)) % 0.35/0.63 (step @p183 :rule cong :premises (@p182) :args (@t134)) % 0.35/0.63 (step @p184 :rule trans :premises (@p183 @p160)) % 0.35/0.63 (step @p185 :rule cong :premises (@p184) :args (@t135)) % 0.35/0.63 (step @p186 :rule cong :premises (@p142 @p185) :args (@t136)) % 0.35/0.63 (step @p187 :rule cong :premises (@p186) :args (@t137)) % 0.35/0.63 (step @p188 :rule trans :premises (@p187 @p148 @p19)) % 0.35/0.63 (step @p189 :rule eq_resolve :premises (@p2 @p188)) % 0.35/0.63 (step @p190 :rule eq-symm :args (@t199 @t200)) % 0.35/0.63 (step @p191 :rule eq-refl :args (@t200)) % 0.35/0.63 (step @p192 :rule refl :args (@t200)) % 0.35/0.63 (step @p193 :rule beta-reduce :args (@t201)) % 0.35/0.63 (step @p194 :rule cong :premises (@p193 @p192) :args (@t201)) % 0.35/0.63 (step @p195 :rule trans :premises (@p194 @p191)) % 0.35/0.63 (step @p196 :rule refl :args (@t197)) % 0.35/0.63 (step @p197 :rule ho_cong :premises (@p12 @p196)) % 0.35/0.63 (step @p198 :rule cong :premises (@p197 @p192) :args ((= @t202 @t200))) % 0.35/0.63 (step @p199 :rule trans :premises (@p198 @p195)) % 0.35/0.63 (step @p200 :rule true_elim :premises (@p199)) % 0.35/0.63 (step @p201 :rule eq-refl :args (@t199)) % 0.35/0.63 (step @p202 :rule refl :args (@t199)) % 0.35/0.63 (step @p203 :rule beta-reduce :args (@t203)) % 0.35/0.63 (step @p204 :rule cong :premises (@p203 @p202) :args (@t203)) % 0.35/0.63 (step @p205 :rule trans :premises (@p204 @p201)) % 0.35/0.63 (step @p206 :rule ho_cong :premises (@p6 @p196)) % 0.35/0.63 (step @p207 :rule cong :premises (@p206 @p202) :args ((= @t204 @t199))) % 0.35/0.63 (step @p208 :rule trans :premises (@p207 @p205)) % 0.35/0.63 (step @p209 :rule true_elim :premises (@p208)) % 0.35/0.63 (step @p210 :rule cong :premises (@p209 @p200) :args (@t205)) % 0.35/0.63 (step @p211 :rule trans :premises (@p210 @p190)) % 0.35/0.63 (step @p212 :rule cong :premises (@p211) :args (@t206)) % 0.35/0.63 (step @p213 :rule refl :args (@t207)) % 0.35/0.63 (step @p214 :rule nary_cong :premises (@p213 @p212) :args (@t208)) % 0.35/0.63 ; WARNING: add trust step for TRUST % 0.35/0.63 ; trust TRUST THEORY_LEMMA % 0.35/0.63 (step @p215 :rule trust :premises () :args (@t208)) % 0.35/0.63 (step @p216 :rule eq_resolve :premises (@p215 @p214)) % 0.35/0.63 (step @p217 :rule chain_m_resolution :premises (@p216 @p189) :args ((not @t209) @t210 (@list @t207))) % 0.35/0.63 (step @p218 :rule alpha_equiv :args ((forall (@list @t212 @t211) (or (not (forall (@list @t213) (or (not (forall (@list @t214) (or (not (forall (@list @t215) (or (not (forall (@list @t219 @t220 @t218) (or (not (_ @t215 @t219 @t220)) (not (_ @t215 @t220 @t218)) (_ @t215 @t219 @t218)))) (not (forall (@list @t217 @t216) (or (not (_ @t197 @t217 @t216)) (_ @t215 @t217 @t216)))) (_ @t215 @t213 @t214)))) (_ @t212 @t214)))) (_ @t212 @t213)))) (_ @t212 @t211))) @t221 (@list @t2 @t1 @t20 @t5 @t4 @t11 @t13 @t39 @t82 @t155))) % 0.35/0.63 (step @p219 :rule alpha_equiv :args (@t200 (@list @t2 @t1 @t20 @t5 @t4 @t11 @t13 @t39 @t82 @t81) @t221)) % 0.35/0.63 (step @p220 :rule trans :premises (@p219 @p218)) % 0.35/0.63 (step @p221 :rule equiv_elim1 :premises (@p220)) % 0.35/0.63 (step @p222 :rule reordering :premises (@p221) :args ((or @t199 @t222))) % 0.35/0.63 (step @p223 :rule cnf_equiv_neg2 :args (@t209)) % 0.35/0.63 (step @p224 :rule chain_m_resolution :premises (@p223 @p217 @p222) :args (@t222 (@list true false) (@list @t209 @t199))) % 0.35/0.63 (step @p225 :rule equiv_elim2 :premises (@p220)) % 0.35/0.63 (step @p226 :rule chain_m_resolution :premises (@p225 @p224) :args ((not @t199) @t210 (@list @t200))) % 0.35/0.63 (step @p227 :rule cnf_equiv_neg1 :args (@t209)) % 0.35/0.63 (step @p228 :rule reordering :premises (@p227) :args ((or @t200 @t199 @t209))) % 0.35/0.63 (step @p229 false :rule chain_m_resolution :premises (@p228 @p226 @p224 @p217) :args (false (@list true true true) (@list @t199 @t200 @t209))) % 0.35/0.63 ) % 0.35/0.63 % SZS output end Proof % 0.35/0.63 % cvc5 exiting %------------------------------------------------------------------------------