%------------------------------------------------------------------------------ % 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 : n027.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 0.61s % Output : Proof 0.37s % 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/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n027.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 23:04:06 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.37/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.61 % SZS status Theorem % 0.37/0.61 % SZS output start Proof % 0.37/0.61 ( % 0.37/0.61 (declare-sort $$unsorted 0) % 0.37/0.61 (declare-sort tptp.d_unsorted 0) % 0.37/0.61 (declare-const tptp.mnot (-> (-> $$unsorted Bool) $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.mor (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.mand (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.mimplies (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.mbox_s4 (-> (-> $$unsorted Bool) $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.iatom (-> (-> $$unsorted Bool) $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.inot (-> (-> $$unsorted Bool) $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.iand (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.ior (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.d_unsorted_0 tptp.d_unsorted) % 0.37/0.61 (declare-const tptp.d2unsorted (-> tptp.d_unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.irel (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.ifalse (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.itrue (-> $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.iinvalid (-> (-> $$unsorted Bool) Bool)) % 0.37/0.61 (declare-const tptp.icountersatisfiable (-> (-> $$unsorted Bool) Bool)) % 0.37/0.61 (declare-const tptp.isatisfiable (-> (-> $$unsorted Bool) Bool)) % 0.37/0.61 (declare-const tptp.ivalid (-> (-> $$unsorted Bool) Bool)) % 0.37/0.61 (declare-const tptp.ixor (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.iequiv (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.iimplied (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.iimplies (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.37/0.61 (define @t1 () (_ tptp.d2unsorted tptp.d_unsorted_0)) % 0.37/0.61 (define @t2 () (@var "W" $$unsorted)) % 0.37/0.61 (define @t3 () (@var "Phi" (-> $$unsorted Bool))) % 0.37/0.61 (define @t4 () (_ @t3 @t2)) % 0.37/0.61 (define @t5 () (@list @t2)) % 0.37/0.61 (define @t6 () (forall @t5 (not @t4))) % 0.37/0.61 (define @t7 () (@list @t3)) % 0.37/0.61 (define @t8 () (forall @t5 @t4)) % 0.37/0.61 (define @t9 () (@var "Bound_variable_866" $$unsorted)) % 0.37/0.61 (define @t10 () (@var "P" (-> $$unsorted Bool))) % 0.37/0.61 (define @t11 () (_ @t10 @t9)) % 0.37/0.61 (define @t12 () (@var "Bound_variable_864" $$unsorted)) % 0.37/0.61 (define @t13 () (_ tptp.irel @t12)) % 0.37/0.61 (define @t14 () (_ @t13 @t9)) % 0.37/0.61 (define @t15 () (not @t14)) % 0.37/0.61 (define @t16 () (@var "Bound_variable_746" $$unsorted)) % 0.37/0.61 (define @t17 () (@var "Q" (-> $$unsorted Bool))) % 0.37/0.61 (define @t18 () (_ @t17 @t16)) % 0.37/0.61 (define @t19 () (_ @t13 @t16)) % 0.37/0.61 (define @t20 () (not @t19)) % 0.37/0.61 (define @t21 () (or @t20 @t18)) % 0.37/0.61 (define @t22 () (@list @t16)) % 0.37/0.61 (define @t23 () (forall @t22 @t21)) % 0.37/0.61 (define @t24 () (not @t23)) % 0.37/0.61 (define @t25 () (@var "Y" $$unsorted)) % 0.37/0.61 (define @t26 () (_ tptp.irel @t25)) % 0.37/0.61 (define @t27 () (_ @t26 @t12)) % 0.37/0.61 (define @t28 () (not @t27)) % 0.37/0.61 (define @t29 () (or @t28 @t24 @t15 @t11)) % 0.37/0.61 (define @t30 () (@var "Bound_variable_851" $$unsorted)) % 0.37/0.61 (define @t31 () (_ @t17 @t30)) % 0.37/0.61 (define @t32 () (@var "Bound_variable_849" $$unsorted)) % 0.37/0.61 (define @t33 () (_ tptp.irel @t32)) % 0.37/0.61 (define @t34 () (_ @t33 @t30)) % 0.37/0.61 (define @t35 () (not @t34)) % 0.37/0.61 (define @t36 () (@var "Bound_variable_693" $$unsorted)) % 0.37/0.61 (define @t37 () (_ @t10 @t36)) % 0.37/0.61 (define @t38 () (_ @t33 @t36)) % 0.37/0.61 (define @t39 () (not @t38)) % 0.37/0.61 (define @t40 () (or @t39 @t37)) % 0.37/0.61 (define @t41 () (@list @t36)) % 0.37/0.61 (define @t42 () (forall @t41 @t40)) % 0.37/0.61 (define @t43 () (not @t42)) % 0.37/0.61 (define @t44 () (_ @t26 @t32)) % 0.37/0.61 (define @t45 () (not @t44)) % 0.37/0.61 (define @t46 () (or @t45 @t43 @t35 @t31)) % 0.37/0.61 (define @t47 () (and @t46 @t29)) % 0.37/0.61 (define @t48 () (@var "Flatten_var_0" $$unsorted)) % 0.37/0.61 (define @t49 () (_ (_ tptp.irel @t48) @t25)) % 0.37/0.61 (define @t50 () (not @t49)) % 0.37/0.61 (define @t51 () (or @t50 @t47)) % 0.37/0.61 (define @t52 () (@list @t25 @t32 @t30 @t12 @t9)) % 0.37/0.61 (define @t53 () (forall @t52 @t51)) % 0.37/0.61 (define @t54 () (not @t53)) % 0.37/0.61 (define @t55 () (@list @t10 @t17 @t48)) % 0.37/0.61 (define @t56 () (lambda @t55 @t54)) % 0.37/0.61 (define @t57 () (= tptp.ixor @t56)) % 0.37/0.61 (define @t58 () (@var "Bound_variable_771" $$unsorted)) % 0.37/0.61 (define @t59 () (_ @t10 @t58)) % 0.37/0.61 (define @t60 () (_ @t26 @t58)) % 0.37/0.61 (define @t61 () (not @t60)) % 0.37/0.61 (define @t62 () (_ @t26 @t16)) % 0.37/0.61 (define @t63 () (not @t62)) % 0.37/0.61 (define @t64 () (or @t63 @t18)) % 0.37/0.61 (define @t65 () (forall @t22 @t64)) % 0.37/0.61 (define @t66 () (not @t65)) % 0.37/0.61 (define @t67 () (or @t50 @t66 @t61 @t59)) % 0.37/0.61 (define @t68 () (@list @t25 @t58)) % 0.37/0.61 (define @t69 () (forall @t68 @t67)) % 0.37/0.61 (define @t70 () (@var "Bound_variable_718" $$unsorted)) % 0.37/0.61 (define @t71 () (_ @t17 @t70)) % 0.37/0.61 (define @t72 () (_ @t26 @t70)) % 0.37/0.61 (define @t73 () (not @t72)) % 0.37/0.61 (define @t74 () (_ @t26 @t36)) % 0.37/0.61 (define @t75 () (not @t74)) % 0.37/0.61 (define @t76 () (or @t75 @t37)) % 0.37/0.61 (define @t77 () (forall @t41 @t76)) % 0.37/0.61 (define @t78 () (not @t77)) % 0.37/0.61 (define @t79 () (or @t50 @t78 @t73 @t71)) % 0.37/0.61 (define @t80 () (@list @t25 @t70)) % 0.37/0.61 (define @t81 () (forall @t80 @t79)) % 0.37/0.61 (define @t82 () (and @t81 @t69)) % 0.37/0.61 (define @t83 () (lambda @t55 @t82)) % 0.37/0.61 (define @t84 () (= tptp.iequiv @t83)) % 0.37/0.61 (define @t85 () (_ @t10 @t25)) % 0.37/0.61 (define @t86 () (or @t50 @t85)) % 0.37/0.61 (define @t87 () (@list @t25)) % 0.37/0.61 (define @t88 () (forall @t87 @t86)) % 0.37/0.61 (define @t89 () (forall @t87 (or @t50 (_ @t17 @t25)))) % 0.37/0.61 (define @t90 () (not @t88)) % 0.37/0.61 (define @t91 () (@list @t10 @t48)) % 0.37/0.61 (define @t92 () (lambda @t91 @t90)) % 0.37/0.61 (define @t93 () (= tptp.inot @t92)) % 0.37/0.61 (define @t94 () (@var "X" $$unsorted)) % 0.37/0.61 (define @t95 () (@var "V" (-> $$unsorted Bool))) % 0.37/0.61 (define @t96 () (@var "U" (-> $$unsorted Bool))) % 0.37/0.61 (define @t97 () (@var "U" $$unsorted)) % 0.37/0.61 (define @t98 () (@var "Y" (-> $$unsorted Bool))) % 0.37/0.61 (define @t99 () (_ @t98 @t97)) % 0.37/0.61 (define @t100 () (@var "X" (-> $$unsorted Bool))) % 0.37/0.61 (define @t101 () (_ @t100 @t97)) % 0.37/0.61 (define @t102 () (@list @t100 @t98 @t97)) % 0.37/0.61 (define @t103 () (@var "DU2" tptp.d_unsorted)) % 0.37/0.61 (define @t104 () (@var "DU1" tptp.d_unsorted)) % 0.37/0.61 (define @t105 () (@var "DU" tptp.d_unsorted)) % 0.37/0.61 (define @t106 () (@list @t105)) % 0.37/0.61 (define @t107 () (@var "__flatten_var_0" $$unsorted)) % 0.37/0.61 (define @t108 () (@list @t10 @t17 @t107)) % 0.37/0.61 (define @t109 () (lambda @t108 (_ (_ tptp.inot (_ (_ tptp.iequiv @t10) @t17)) @t107))) % 0.37/0.61 (define @t110 () (= tptp.ixor @t109)) % 0.37/0.61 (define @t111 () (not @t110)) % 0.37/0.61 (define @t112 () (_ @t10 @t9)) % 0.37/0.61 (define @t113 () (tptp.irel @t12 @t9)) % 0.37/0.61 (define @t114 () (not @t113)) % 0.37/0.61 (define @t115 () (_ @t17 @t16)) % 0.37/0.61 (define @t116 () (tptp.irel @t12 @t16)) % 0.37/0.61 (define @t117 () (not @t116)) % 0.37/0.61 (define @t118 () (not (forall @t22 (or @t117 @t115)))) % 0.37/0.61 (define @t119 () (tptp.irel @t25 @t12)) % 0.37/0.61 (define @t120 () (not @t119)) % 0.37/0.61 (define @t121 () (_ @t17 @t30)) % 0.37/0.61 (define @t122 () (tptp.irel @t32 @t30)) % 0.37/0.61 (define @t123 () (not @t122)) % 0.37/0.61 (define @t124 () (_ @t10 @t36)) % 0.37/0.61 (define @t125 () (tptp.irel @t32 @t36)) % 0.37/0.61 (define @t126 () (not @t125)) % 0.37/0.61 (define @t127 () (not (forall @t41 (or @t126 @t124)))) % 0.37/0.61 (define @t128 () (tptp.irel @t25 @t32)) % 0.37/0.61 (define @t129 () (not @t128)) % 0.37/0.61 (define @t130 () (tptp.irel @t48 @t25)) % 0.37/0.61 (define @t131 () (not @t130)) % 0.37/0.61 (define @t132 () (lambda @t55 (not (forall @t52 (or @t131 (and (or @t129 @t127 @t123 @t121) (or @t120 @t118 @t114 @t112))))))) % 0.37/0.61 (define @t133 () (@purify @t132)) % 0.37/0.61 (define @t134 () (@var "BOUND_VARIABLE_7888" $$unsorted)) % 0.37/0.61 (define @t135 () (@var "BOUND_VARIABLE_7886" $$unsorted)) % 0.37/0.61 (define @t136 () (not (tptp.irel @t135 @t134))) % 0.37/0.61 (define @t137 () (not (tptp.irel @t135 @t16))) % 0.37/0.61 (define @t138 () (not (tptp.irel @t25 @t135))) % 0.37/0.61 (define @t139 () (or @t138 (not (forall @t22 (or @t137 @t115))) @t136 (_ @t10 @t134))) % 0.37/0.61 (define @t140 () (@var "BOUND_VARIABLE_7873" $$unsorted)) % 0.37/0.61 (define @t141 () (@var "BOUND_VARIABLE_7871" $$unsorted)) % 0.37/0.61 (define @t142 () (not (tptp.irel @t141 @t140))) % 0.37/0.61 (define @t143 () (not (tptp.irel @t141 @t36))) % 0.37/0.61 (define @t144 () (not (tptp.irel @t25 @t141))) % 0.37/0.61 (define @t145 () (or @t144 (not (forall @t41 (or @t143 @t124))) @t142 (_ @t17 @t140))) % 0.37/0.61 (define @t146 () (and @t145 @t139)) % 0.37/0.61 (define @t147 () (@list @t25 @t141 @t140 @t135 @t134)) % 0.37/0.61 (define @t148 () (not (forall @t147 (or (not (tptp.irel @t107 @t25)) @t146)))) % 0.37/0.61 (define @t149 () (lambda @t108 @t148)) % 0.37/0.61 (define @t150 () (@purify @t149)) % 0.37/0.61 (define @t151 () (= @t132 @t149)) % 0.37/0.61 (define @t152 () (or @t131 @t146)) % 0.37/0.61 (define @t153 () (forall @t147 @t152)) % 0.37/0.61 (define @t154 () (@list @t48)) % 0.37/0.61 (define @t155 () (@list @t141 @t140 @t135 @t134)) % 0.37/0.61 (define @t156 () (forall @t155 @t152)) % 0.37/0.61 (define @t157 () (forall (@list @t135 @t134) @t139)) % 0.37/0.61 (define @t158 () (@var "BOUND_VARIABLE_7829" $$unsorted)) % 0.37/0.61 (define @t159 () (forall @t155 @t139)) % 0.37/0.61 (define @t160 () (forall (@list @t141 @t140) @t145)) % 0.37/0.61 (define @t161 () (@var "BOUND_VARIABLE_7843" $$unsorted)) % 0.37/0.61 (define @t162 () (forall @t155 @t145)) % 0.37/0.61 (define @t163 () (and @t162 @t159)) % 0.37/0.61 (define @t164 () (forall @t155 @t146)) % 0.37/0.61 (define @t165 () (or @t131 @t164)) % 0.37/0.61 (define @t166 () (_ @t10 @t58)) % 0.37/0.61 (define @t167 () (not (tptp.irel @t158 @t58))) % 0.37/0.61 (define @t168 () (not (forall @t22 (or (not (tptp.irel @t158 @t16)) @t115)))) % 0.37/0.61 (define @t169 () (@list @t158 @t58)) % 0.37/0.61 (define @t170 () (_ @t17 @t70)) % 0.37/0.61 (define @t171 () (not (tptp.irel @t161 @t70))) % 0.37/0.61 (define @t172 () (not (forall @t41 (or (not (tptp.irel @t161 @t36)) @t124)))) % 0.37/0.61 (define @t173 () (@list @t161 @t70)) % 0.37/0.61 (define @t174 () (and (forall @t173 (or (not (tptp.irel @t25 @t161)) @t172 @t171 @t170)) (forall @t169 (or (not (tptp.irel @t25 @t158)) @t168 @t167 @t166)))) % 0.37/0.61 (define @t175 () (tptp.irel @t25 @t58)) % 0.37/0.61 (define @t176 () (tptp.irel @t25 @t16)) % 0.37/0.61 (define @t177 () (not (forall @t22 (or (not @t176) @t115)))) % 0.37/0.61 (define @t178 () (forall @t68 (or @t131 @t177 (not @t175) @t166))) % 0.37/0.61 (define @t179 () (@list @t25)) % 0.37/0.61 (define @t180 () (tptp.irel @t25 @t70)) % 0.37/0.61 (define @t181 () (tptp.irel @t25 @t36)) % 0.37/0.61 (define @t182 () (not (forall @t41 (or (not @t181) @t124)))) % 0.37/0.61 (define @t183 () (forall @t80 (or @t131 @t182 (not @t180) @t170))) % 0.37/0.61 (define @t184 () (and @t183 @t178)) % 0.37/0.61 (define @t185 () (lambda @t154 @t184)) % 0.37/0.61 (define @t186 () (or @t131 (_ @t185 @t25))) % 0.37/0.61 (define @t187 () (forall @t87 @t186)) % 0.37/0.61 (define @t188 () (not @t187)) % 0.37/0.61 (define @t189 () (lambda @t154 @t188)) % 0.37/0.61 (define @t190 () (_ @t10 @t25)) % 0.37/0.61 (define @t191 () (lambda @t91 (not (forall @t87 (or @t131 @t190))))) % 0.37/0.61 (define @t192 () (lambda (@list @t17 @t48) @t184)) % 0.37/0.61 (define @t193 () (_ (lambda @t55 @t184) @t10)) % 0.37/0.61 (define @t194 () (lambda @t108 (_ (_ @t191 (_ @t193 @t17)) @t107))) % 0.37/0.61 (define @t195 () (= @t132 @t194)) % 0.37/0.61 (define @t196 () (or @t50 @t177 @t61 @t59)) % 0.37/0.61 (define @t197 () (or @t50 @t182 @t73 @t71)) % 0.37/0.61 (define @t198 () (or @t28 @t118 @t15 @t11)) % 0.37/0.61 (define @t199 () (or @t45 @t127 @t35 @t31)) % 0.37/0.61 (define @t200 () (and @t199 @t198)) % 0.37/0.61 (define @t201 () (or @t50 @t200)) % 0.37/0.61 (define @t202 () (@const 0 (-> $$unsorted Bool))) % 0.37/0.61 (define @t203 () (@const 1 (-> $$unsorted Bool))) % 0.37/0.61 (define @t204 () (_ @t203 @t16)) % 0.37/0.61 (define @t205 () (_ @t202 @t36)) % 0.37/0.61 (define @t206 () (@const 2 $$unsorted)) % 0.37/0.61 (define @t207 () (not (tptp.irel @t206 @t25))) % 0.37/0.61 (define @t208 () (forall @t147 (or @t207 (and (or @t144 (not (forall @t41 (or @t143 @t205))) @t142 (_ @t203 @t140)) (or @t138 (not (forall @t22 (or @t137 @t204))) @t136 (_ @t202 @t134)))))) % 0.37/0.61 (define @t209 () (not @t208)) % 0.37/0.61 (define @t210 () (forall @t52 (or @t207 (and (or @t129 (not (forall @t41 (or @t126 @t205))) @t123 (_ @t203 @t30)) (or @t120 (not (forall @t22 (or @t117 @t204))) @t114 (_ @t202 @t9)))))) % 0.37/0.61 (define @t211 () (not @t210)) % 0.37/0.61 (define @t212 () (= (_ @t132 @t202 @t203 @t206) @t211)) % 0.37/0.61 (define @t213 () (_ @t133 @t202 @t203 @t206)) % 0.37/0.61 (define @t214 () (= (_ @t149 @t202 @t203 @t206) @t209)) % 0.37/0.61 (define @t215 () (_ @t150 @t202 @t203 @t206)) % 0.37/0.61 (define @t216 () (= @t215 @t213)) % 0.37/0.61 (define @t217 () (not @t216)) % 0.37/0.61 (define @t218 () (= @t150 @t133)) % 0.37/0.61 (define @t219 () (or @t218 @t217)) % 0.37/0.61 (define @t220 () (= @t211 @t209)) % 0.37/0.61 (define @t221 () (@list true)) % 0.37/0.61 (define @t222 () (@var "BOUND_VARIABLE_8125" $$unsorted)) % 0.37/0.61 (define @t223 () (@var "BOUND_VARIABLE_8124" $$unsorted)) % 0.37/0.61 (define @t224 () (@var "BOUND_VARIABLE_8123" $$unsorted)) % 0.37/0.61 (define @t225 () (@var "BOUND_VARIABLE_8119" $$unsorted)) % 0.37/0.61 (define @t226 () (@var "BOUND_VARIABLE_8122" $$unsorted)) % 0.37/0.61 (define @t227 () (@var "BOUND_VARIABLE_8121" $$unsorted)) % 0.37/0.61 (define @t228 () (@var "BOUND_VARIABLE_8120" $$unsorted)) % 0.37/0.61 (define @t229 () (@list @t225 @t228 @t227 @t226 @t224 @t223 @t222)) % 0.37/0.61 (assume @p1 (and (forall (@list @t97) (exists @t106 (= @t97 (_ tptp.d2unsorted @t105)))) (forall @t106 (= @t105 tptp.d_unsorted_0)) (forall (@list @t104 @t103) (=> (= (_ tptp.d2unsorted @t104) (_ tptp.d2unsorted @t103)) (= @t104 @t103))) (= tptp.mnot (lambda (@list @t100 @t97) (not @t101))) (= tptp.mor (lambda @t102 (or @t101 @t99))) (= tptp.mand (lambda @t102 (and @t101 @t99))) (= tptp.mimplies (lambda (@list @t96 @t95 @t48) (or (not (_ @t96 @t48)) (_ @t95 @t48)))) (= tptp.mbox_s4 (lambda (@list @t10 @t94) (forall @t87 (or (not (_ (_ tptp.irel @t94) @t25)) @t85)))) (= tptp.iatom (lambda @t91 (_ @t10 @t48))) @t93 (= tptp.iand (lambda @t55 (and @t88 @t89))) (= tptp.ior (lambda @t55 (or @t88 @t89))) (= tptp.iimplies (lambda @t55 (or @t90 @t89))) (= tptp.iimplied (lambda @t55 (or (not @t89) @t88))) @t84 @t57 (= tptp.ivalid (lambda @t7 @t8)) (= tptp.isatisfiable (lambda @t7 (not @t6))) (= tptp.icountersatisfiable (lambda @t7 (not @t8))) (= tptp.iinvalid (lambda @t7 @t6)) (_ (_ tptp.irel @t1) @t1) (_ tptp.itrue @t1) (not (_ tptp.ifalse @t1)))) % 0.37/0.61 (assume @p2 @t111) % 0.37/0.61 (assume @p3 true) % 0.37/0.61 (step @p4 :rule eq-symm :args (@t133 @t150)) % 0.37/0.61 (step @p5 :rule eq-refl :args (@t149)) % 0.37/0.61 (step @p6 :rule skolem_intro :args (@t150)) % 0.37/0.61 (step @p7 :rule refl :args (@t149)) % 0.37/0.61 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t149 @t150))) % 0.37/0.61 (step @p9 :rule trans :premises (@p8 @p5)) % 0.37/0.61 (step @p10 :rule true_elim :premises (@p9)) % 0.37/0.61 (step @p11 :rule eq-refl :args (@t132)) % 0.37/0.61 (step @p12 :rule skolem_intro :args (@t133)) % 0.37/0.61 (step @p13 :rule refl :args (@t132)) % 0.37/0.61 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t132 @t133))) % 0.37/0.61 (step @p15 :rule trans :premises (@p14 @p11)) % 0.37/0.61 (step @p16 :rule true_elim :premises (@p15)) % 0.37/0.61 (step @p17 :rule cong :premises (@p16 @p10) :args (@t151)) % 0.37/0.61 (step @p18 :rule trans :premises (@p17 @p4)) % 0.37/0.61 (step @p19 :rule cong :premises (@p18) :args ((not @t151))) % 0.37/0.61 (step @p20 :rule beta-reduce :args ((= (_ (lambda @t154 (not @t153)) @t107) @t148))) % 0.37/0.61 (step @p21 :rule refl :args (@t107)) % 0.37/0.61 (step @p22 :rule quant-merge-prenex :args ((= (forall @t87 @t156) @t153))) % 0.37/0.61 (step @p23 :rule alpha_equiv :args (@t157 (@list @t135 @t134) (@list @t158 @t58))) % 0.37/0.61 (step @p24 :rule quant-unused-vars :args ((= @t159 @t157))) % 0.37/0.61 (step @p25 :rule trans :premises (@p24 @p23)) % 0.37/0.61 (step @p26 :rule alpha_equiv :args (@t160 (@list @t141 @t140) (@list @t161 @t70))) % 0.37/0.61 (step @p27 :rule quant-unused-vars :args ((= @t162 @t160))) % 0.37/0.61 (step @p28 :rule trans :premises (@p27 @p26)) % 0.37/0.61 (step @p29 :rule nary_cong :premises (@p28 @p25) :args (@t163)) % 0.37/0.61 (step @p30 :rule quant-miniscope-and :args ((= @t164 @t163))) % 0.37/0.61 (step @p31 :rule trans :premises (@p30 @p29)) % 0.37/0.61 (step @p32 :rule refl :args (@t131)) % 0.37/0.61 (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t165)) % 0.37/0.61 (step @p34 :rule quant-miniscope-or :args ((= @t156 @t165))) % 0.37/0.61 (step @p35 :rule trans :premises (@p34 @p33)) % 0.37/0.61 (step @p36 :rule symm :premises (@p35)) % 0.37/0.61 (step @p37 :rule cong :premises (@p36) :args ((forall @t87 (or @t131 @t174)))) % 0.37/0.61 (step @p38 :rule trans :premises (@p37 @p22)) % 0.37/0.61 (step @p39 :rule beta-reduce :args ((= (_ (lambda @t154 (and (forall @t173 (or (not (tptp.irel @t48 @t161)) @t172 @t171 @t170)) (forall @t169 (or (not (tptp.irel @t48 @t158)) @t168 @t167 @t166)))) @t25) @t174))) % 0.37/0.61 (step @p40 :rule refl :args (@t25)) % 0.37/0.61 (step @p41 :rule alpha_equiv :args (@t178 @t179 (@list @t158))) % 0.37/0.61 (step @p42 :rule alpha_equiv :args (@t183 @t179 (@list @t161))) % 0.37/0.61 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t184)) % 0.37/0.61 (step @p44 :rule cong :premises (@p43) :args (@t185)) % 0.37/0.61 (step @p45 :rule ho_cong :premises (@p44 @p40)) % 0.37/0.61 (step @p46 :rule trans :premises (@p45 @p39)) % 0.37/0.61 (step @p47 :rule refl :args (@t131)) % 0.37/0.61 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t186)) % 0.37/0.61 (step @p49 :rule cong :premises (@p48) :args (@t187)) % 0.37/0.61 (step @p50 :rule trans :premises (@p49 @p38)) % 0.37/0.61 (step @p51 :rule cong :premises (@p50) :args (@t188)) % 0.37/0.61 (step @p52 :rule cong :premises (@p51) :args (@t189)) % 0.37/0.61 (step @p53 :rule beta-reduce :args ((= (_ @t191 @t185) @t189))) % 0.37/0.61 (step @p54 :rule trans :premises (@p53 @p52)) % 0.37/0.61 (step @p55 :rule beta-reduce :args ((= (_ @t192 @t17) @t185))) % 0.37/0.61 (step @p56 :rule refl :args (@t17)) % 0.37/0.61 (step @p57 :rule beta-reduce :args ((= @t193 @t192))) % 0.37/0.61 (step @p58 :rule ho_cong :premises (@p57 @p56)) % 0.37/0.61 (step @p59 :rule trans :premises (@p58 @p55)) % 0.37/0.61 (step @p60 :rule refl :args (@t191)) % 0.37/0.61 (step @p61 :rule ho_cong :premises (@p60 @p59)) % 0.37/0.61 (step @p62 :rule trans :premises (@p61 @p54)) % 0.37/0.61 (step @p63 :rule ho_cong :premises (@p62 @p21)) % 0.37/0.61 (step @p64 :rule trans :premises (@p63 @p20)) % 0.37/0.61 (step @p65 :rule cong :premises (@p64) :args (@t194)) % 0.37/0.61 (step @p66 :rule cong :premises (@p13 @p65) :args (@t195)) % 0.37/0.61 (step @p67 :rule cong :premises (@p66) :args ((not @t195))) % 0.37/0.61 (step @p68 :rule refl :args (@t10)) % 0.37/0.61 (step @p69 :rule refl :args (@t166)) % 0.37/0.61 (step @p70 :rule refl :args (@t59)) % 0.37/0.61 (step @p71 :rule cong :premises (@p70 @p69) :args ((= @t59 @t166))) % 0.37/0.61 (step @p72 :rule symm :premises (@p71)) % 0.37/0.61 (step @p73 :rule eq_resolve :premises (@p70 @p72)) % 0.37/0.61 (step @p74 :rule refl :args (@t175)) % 0.37/0.61 (step @p75 :rule refl :args (@t60)) % 0.37/0.61 (step @p76 :rule cong :premises (@p75 @p74) :args ((= @t60 @t175))) % 0.37/0.61 (step @p77 :rule symm :premises (@p76)) % 0.37/0.61 (step @p78 :rule eq_resolve :premises (@p75 @p77)) % 0.37/0.61 (step @p79 :rule cong :premises (@p78) :args (@t61)) % 0.37/0.61 (step @p80 :rule refl :args (@t177)) % 0.37/0.61 (step @p81 :rule refl :args (@t130)) % 0.37/0.61 (step @p82 :rule refl :args (@t49)) % 0.37/0.61 (step @p83 :rule cong :premises (@p82 @p81) :args ((= @t49 @t130))) % 0.37/0.61 (step @p84 :rule symm :premises (@p83)) % 0.37/0.61 (step @p85 :rule eq_resolve :premises (@p82 @p84)) % 0.37/0.61 (step @p86 :rule cong :premises (@p85) :args (@t50)) % 0.37/0.61 (step @p87 :rule nary_cong :premises (@p86 @p80 @p79 @p73) :args (@t196)) % 0.37/0.61 (step @p88 :rule cong :premises (@p87) :args ((forall @t68 @t196))) % 0.37/0.61 (step @p89 :rule refl :args (@t59)) % 0.37/0.61 (step @p90 :rule refl :args (@t61)) % 0.37/0.61 (step @p91 :rule refl :args (@t115)) % 0.37/0.61 (step @p92 :rule refl :args (@t18)) % 0.37/0.61 (step @p93 :rule cong :premises (@p92 @p91) :args ((= @t18 @t115))) % 0.37/0.61 (step @p94 :rule symm :premises (@p93)) % 0.37/0.61 (step @p95 :rule eq_resolve :premises (@p92 @p94)) % 0.37/0.61 (step @p96 :rule refl :args (@t176)) % 0.37/0.61 (step @p97 :rule refl :args (@t62)) % 0.37/0.61 (step @p98 :rule cong :premises (@p97 @p96) :args ((= @t62 @t176))) % 0.37/0.61 (step @p99 :rule symm :premises (@p98)) % 0.37/0.61 (step @p100 :rule eq_resolve :premises (@p97 @p99)) % 0.37/0.61 (step @p101 :rule cong :premises (@p100) :args (@t63)) % 0.37/0.61 (step @p102 :rule nary_cong :premises (@p101 @p95) :args (@t64)) % 0.37/0.61 (step @p103 :rule cong :premises (@p102) :args (@t65)) % 0.37/0.61 (step @p104 :rule cong :premises (@p103) :args (@t66)) % 0.37/0.61 (step @p105 :rule refl :args (@t50)) % 0.37/0.61 (step @p106 :rule nary_cong :premises (@p105 @p104 @p90 @p89) :args (@t67)) % 0.37/0.61 (step @p107 :rule cong :premises (@p106) :args (@t69)) % 0.37/0.61 (step @p108 :rule trans :premises (@p107 @p88)) % 0.37/0.61 (step @p109 :rule refl :args (@t170)) % 0.37/0.61 (step @p110 :rule refl :args (@t71)) % 0.37/0.61 (step @p111 :rule cong :premises (@p110 @p109) :args ((= @t71 @t170))) % 0.37/0.61 (step @p112 :rule symm :premises (@p111)) % 0.37/0.61 (step @p113 :rule eq_resolve :premises (@p110 @p112)) % 0.37/0.61 (step @p114 :rule refl :args (@t180)) % 0.37/0.61 (step @p115 :rule refl :args (@t72)) % 0.37/0.61 (step @p116 :rule cong :premises (@p115 @p114) :args ((= @t72 @t180))) % 0.37/0.61 (step @p117 :rule symm :premises (@p116)) % 0.37/0.61 (step @p118 :rule eq_resolve :premises (@p115 @p117)) % 0.37/0.61 (step @p119 :rule cong :premises (@p118) :args (@t73)) % 0.37/0.61 (step @p120 :rule refl :args (@t182)) % 0.37/0.61 (step @p121 :rule nary_cong :premises (@p86 @p120 @p119 @p113) :args (@t197)) % 0.37/0.61 (step @p122 :rule cong :premises (@p121) :args ((forall @t80 @t197))) % 0.37/0.61 (step @p123 :rule refl :args (@t71)) % 0.37/0.61 (step @p124 :rule refl :args (@t73)) % 0.37/0.61 (step @p125 :rule refl :args (@t124)) % 0.37/0.61 (step @p126 :rule refl :args (@t37)) % 0.37/0.61 (step @p127 :rule cong :premises (@p126 @p125) :args ((= @t37 @t124))) % 0.37/0.61 (step @p128 :rule symm :premises (@p127)) % 0.37/0.61 (step @p129 :rule eq_resolve :premises (@p126 @p128)) % 0.37/0.61 (step @p130 :rule refl :args (@t181)) % 0.37/0.61 (step @p131 :rule refl :args (@t74)) % 0.37/0.61 (step @p132 :rule cong :premises (@p131 @p130) :args ((= @t74 @t181))) % 0.37/0.61 (step @p133 :rule symm :premises (@p132)) % 0.37/0.61 (step @p134 :rule eq_resolve :premises (@p131 @p133)) % 0.37/0.61 (step @p135 :rule cong :premises (@p134) :args (@t75)) % 0.37/0.61 (step @p136 :rule nary_cong :premises (@p135 @p129) :args (@t76)) % 0.37/0.61 (step @p137 :rule cong :premises (@p136) :args (@t77)) % 0.37/0.61 (step @p138 :rule cong :premises (@p137) :args (@t78)) % 0.37/0.61 (step @p139 :rule nary_cong :premises (@p105 @p138 @p124 @p123) :args (@t79)) % 0.37/0.61 (step @p140 :rule cong :premises (@p139) :args (@t81)) % 0.37/0.61 (step @p141 :rule trans :premises (@p140 @p122)) % 0.37/0.61 (step @p142 :rule nary_cong :premises (@p141 @p108) :args (@t82)) % 0.37/0.61 (step @p143 :rule cong :premises (@p142) :args (@t83)) % 0.37/0.61 (step @p144 :rule refl :args (tptp.iequiv)) % 0.37/0.61 (step @p145 :rule cong :premises (@p144 @p143) :args (@t84)) % 0.37/0.61 (step @p146 :rule and_elim :premises (@p1) :args (14)) % 0.37/0.61 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 0.37/0.61 (step @p148 :rule ho_cong :premises (@p147 @p68)) % 0.37/0.61 (step @p149 :rule ho_cong :premises (@p148 @p56)) % 0.37/0.61 (step @p150 :rule refl :args (@t190)) % 0.37/0.61 (step @p151 :rule refl :args (@t85)) % 0.37/0.61 (step @p152 :rule cong :premises (@p151 @p150) :args ((= @t85 @t190))) % 0.37/0.61 (step @p153 :rule symm :premises (@p152)) % 0.37/0.61 (step @p154 :rule eq_resolve :premises (@p151 @p153)) % 0.37/0.61 (step @p155 :rule nary_cong :premises (@p86 @p154) :args (@t86)) % 0.37/0.61 (step @p156 :rule cong :premises (@p155) :args (@t88)) % 0.37/0.61 (step @p157 :rule cong :premises (@p156) :args (@t90)) % 0.37/0.61 (step @p158 :rule cong :premises (@p157) :args (@t92)) % 0.37/0.61 (step @p159 :rule refl :args (tptp.inot)) % 0.37/0.61 (step @p160 :rule cong :premises (@p159 @p158) :args (@t93)) % 0.37/0.61 (step @p161 :rule and_elim :premises (@p1) :args (9)) % 0.37/0.61 (step @p162 :rule eq_resolve :premises (@p161 @p160)) % 0.37/0.61 (step @p163 :rule ho_cong :premises (@p162 @p149)) % 0.37/0.61 (step @p164 :rule ho_cong :premises (@p163 @p21)) % 0.37/0.61 (step @p165 :rule cong :premises (@p164) :args (@t109)) % 0.37/0.61 (step @p166 :rule refl :args (@t112)) % 0.37/0.61 (step @p167 :rule refl :args (@t11)) % 0.37/0.61 (step @p168 :rule cong :premises (@p167 @p166) :args ((= @t11 @t112))) % 0.37/0.61 (step @p169 :rule symm :premises (@p168)) % 0.37/0.61 (step @p170 :rule eq_resolve :premises (@p167 @p169)) % 0.37/0.61 (step @p171 :rule refl :args (@t113)) % 0.37/0.61 (step @p172 :rule refl :args (@t14)) % 0.37/0.61 (step @p173 :rule cong :premises (@p172 @p171) :args ((= @t14 @t113))) % 0.37/0.61 (step @p174 :rule symm :premises (@p173)) % 0.37/0.61 (step @p175 :rule eq_resolve :premises (@p172 @p174)) % 0.37/0.61 (step @p176 :rule cong :premises (@p175) :args (@t15)) % 0.37/0.61 (step @p177 :rule refl :args (@t118)) % 0.37/0.61 (step @p178 :rule refl :args (@t119)) % 0.37/0.61 (step @p179 :rule refl :args (@t27)) % 0.37/0.61 (step @p180 :rule cong :premises (@p179 @p178) :args ((= @t27 @t119))) % 0.37/0.61 (step @p181 :rule symm :premises (@p180)) % 0.37/0.61 (step @p182 :rule eq_resolve :premises (@p179 @p181)) % 0.37/0.61 (step @p183 :rule cong :premises (@p182) :args (@t28)) % 0.37/0.61 (step @p184 :rule nary_cong :premises (@p183 @p177 @p176 @p170) :args (@t198)) % 0.37/0.61 (step @p185 :rule refl :args (@t121)) % 0.37/0.61 (step @p186 :rule refl :args (@t31)) % 0.37/0.61 (step @p187 :rule cong :premises (@p186 @p185) :args ((= @t31 @t121))) % 0.37/0.61 (step @p188 :rule symm :premises (@p187)) % 0.37/0.61 (step @p189 :rule eq_resolve :premises (@p186 @p188)) % 0.37/0.61 (step @p190 :rule refl :args (@t122)) % 0.37/0.61 (step @p191 :rule refl :args (@t34)) % 0.37/0.61 (step @p192 :rule cong :premises (@p191 @p190) :args ((= @t34 @t122))) % 0.37/0.61 (step @p193 :rule symm :premises (@p192)) % 0.37/0.61 (step @p194 :rule eq_resolve :premises (@p191 @p193)) % 0.37/0.61 (step @p195 :rule cong :premises (@p194) :args (@t35)) % 0.37/0.61 (step @p196 :rule refl :args (@t127)) % 0.37/0.61 (step @p197 :rule refl :args (@t128)) % 0.37/0.61 (step @p198 :rule refl :args (@t44)) % 0.37/0.61 (step @p199 :rule cong :premises (@p198 @p197) :args ((= @t44 @t128))) % 0.37/0.61 (step @p200 :rule symm :premises (@p199)) % 0.37/0.61 (step @p201 :rule eq_resolve :premises (@p198 @p200)) % 0.37/0.61 (step @p202 :rule cong :premises (@p201) :args (@t45)) % 0.37/0.61 (step @p203 :rule nary_cong :premises (@p202 @p196 @p195 @p189) :args (@t199)) % 0.37/0.61 (step @p204 :rule nary_cong :premises (@p203 @p184) :args (@t200)) % 0.37/0.61 (step @p205 :rule nary_cong :premises (@p86 @p204) :args (@t201)) % 0.37/0.61 (step @p206 :rule cong :premises (@p205) :args ((forall @t52 @t201))) % 0.37/0.61 (step @p207 :rule refl :args (@t11)) % 0.37/0.61 (step @p208 :rule refl :args (@t15)) % 0.37/0.61 (step @p209 :rule refl :args (@t116)) % 0.37/0.61 (step @p210 :rule refl :args (@t19)) % 0.37/0.61 (step @p211 :rule cong :premises (@p210 @p209) :args ((= @t19 @t116))) % 0.37/0.61 (step @p212 :rule symm :premises (@p211)) % 0.37/0.61 (step @p213 :rule eq_resolve :premises (@p210 @p212)) % 0.37/0.61 (step @p214 :rule cong :premises (@p213) :args (@t20)) % 0.37/0.61 (step @p215 :rule nary_cong :premises (@p214 @p95) :args (@t21)) % 0.37/0.61 (step @p216 :rule cong :premises (@p215) :args (@t23)) % 0.37/0.61 (step @p217 :rule cong :premises (@p216) :args (@t24)) % 0.37/0.61 (step @p218 :rule refl :args (@t28)) % 0.37/0.61 (step @p219 :rule nary_cong :premises (@p218 @p217 @p208 @p207) :args (@t29)) % 0.37/0.61 (step @p220 :rule refl :args (@t31)) % 0.37/0.61 (step @p221 :rule refl :args (@t35)) % 0.37/0.61 (step @p222 :rule refl :args (@t125)) % 0.37/0.61 (step @p223 :rule refl :args (@t38)) % 0.37/0.61 (step @p224 :rule cong :premises (@p223 @p222) :args ((= @t38 @t125))) % 0.37/0.61 (step @p225 :rule symm :premises (@p224)) % 0.37/0.61 (step @p226 :rule eq_resolve :premises (@p223 @p225)) % 0.37/0.61 (step @p227 :rule cong :premises (@p226) :args (@t39)) % 0.37/0.61 (step @p228 :rule nary_cong :premises (@p227 @p129) :args (@t40)) % 0.37/0.61 (step @p229 :rule cong :premises (@p228) :args (@t42)) % 0.37/0.61 (step @p230 :rule cong :premises (@p229) :args (@t43)) % 0.37/0.61 (step @p231 :rule refl :args (@t45)) % 0.37/0.61 (step @p232 :rule nary_cong :premises (@p231 @p230 @p221 @p220) :args (@t46)) % 0.37/0.61 (step @p233 :rule nary_cong :premises (@p232 @p219) :args (@t47)) % 0.37/0.61 (step @p234 :rule nary_cong :premises (@p105 @p233) :args (@t51)) % 0.37/0.61 (step @p235 :rule cong :premises (@p234) :args (@t53)) % 0.37/0.61 (step @p236 :rule trans :premises (@p235 @p206)) % 0.37/0.61 (step @p237 :rule cong :premises (@p236) :args (@t54)) % 0.37/0.61 (step @p238 :rule cong :premises (@p237) :args (@t56)) % 0.37/0.61 (step @p239 :rule refl :args (tptp.ixor)) % 0.37/0.61 (step @p240 :rule cong :premises (@p239 @p238) :args (@t57)) % 0.37/0.61 (step @p241 :rule and_elim :premises (@p1) :args (15)) % 0.37/0.61 (step @p242 :rule eq_resolve :premises (@p241 @p240)) % 0.37/0.61 (step @p243 :rule cong :premises (@p242 @p165) :args (@t110)) % 0.37/0.61 (step @p244 :rule cong :premises (@p243) :args (@t111)) % 0.37/0.61 (step @p245 :rule trans :premises (@p244 @p67)) % 0.37/0.61 (step @p246 :rule trans :premises (@p245 @p19)) % 0.37/0.61 (step @p247 :rule eq_resolve :premises (@p2 @p246)) % 0.37/0.61 (step @p248 :rule eq-symm :args (@t209 @t211)) % 0.37/0.61 (step @p249 :rule eq-refl :args (@t211)) % 0.37/0.61 (step @p250 :rule refl :args (@t211)) % 0.37/0.61 (step @p251 :rule beta-reduce :args (@t212)) % 0.37/0.61 (step @p252 :rule cong :premises (@p251 @p250) :args (@t212)) % 0.37/0.61 (step @p253 :rule trans :premises (@p252 @p249)) % 0.37/0.61 (step @p254 :rule refl :args (@t206)) % 0.37/0.61 (step @p255 :rule refl :args (@t203)) % 0.37/0.61 (step @p256 :rule refl :args (@t202)) % 0.37/0.61 (step @p257 :rule ho_cong :premises (@p12 @p256 @p255 @p254)) % 0.37/0.61 (step @p258 :rule cong :premises (@p257 @p250) :args ((= @t213 @t211))) % 0.37/0.61 (step @p259 :rule trans :premises (@p258 @p253)) % 0.37/0.61 (step @p260 :rule true_elim :premises (@p259)) % 0.37/0.61 (step @p261 :rule eq-refl :args (@t209)) % 0.37/0.61 (step @p262 :rule refl :args (@t209)) % 0.37/0.61 (step @p263 :rule beta-reduce :args (@t214)) % 0.37/0.61 (step @p264 :rule cong :premises (@p263 @p262) :args (@t214)) % 0.37/0.61 (step @p265 :rule trans :premises (@p264 @p261)) % 0.37/0.61 (step @p266 :rule ho_cong :premises (@p6 @p256 @p255 @p254)) % 0.37/0.61 (step @p267 :rule cong :premises (@p266 @p262) :args ((= @t215 @t209))) % 0.37/0.61 (step @p268 :rule trans :premises (@p267 @p265)) % 0.37/0.61 (step @p269 :rule true_elim :premises (@p268)) % 0.37/0.61 (step @p270 :rule cong :premises (@p269 @p260) :args (@t216)) % 0.37/0.61 (step @p271 :rule trans :premises (@p270 @p248)) % 0.37/0.61 (step @p272 :rule cong :premises (@p271) :args (@t217)) % 0.37/0.61 (step @p273 :rule refl :args (@t218)) % 0.37/0.61 (step @p274 :rule nary_cong :premises (@p273 @p272) :args (@t219)) % 0.37/0.61 ; WARNING: add trust step for TRUST % 0.37/0.61 ; trust TRUST THEORY_LEMMA % 0.37/0.61 (step @p275 :rule trust :premises () :args (@t219)) % 0.37/0.61 (step @p276 :rule eq_resolve :premises (@p275 @p274)) % 0.37/0.61 (step @p277 :rule chain_m_resolution :premises (@p276 @p247) :args ((not @t220) @t221 (@list @t218))) % 0.37/0.61 (step @p278 :rule alpha_equiv :args ((forall (@list @t225 @t227 @t226 @t223 @t222) (or (not (tptp.irel @t206 @t225)) (and (or (not (tptp.irel @t225 @t227)) (not (forall (@list @t228) (or (not (tptp.irel @t227 @t228)) (_ @t202 @t228)))) (not (tptp.irel @t227 @t226)) (_ @t203 @t226)) (or (not (tptp.irel @t225 @t223)) (not (forall (@list @t224) (or (not (tptp.irel @t223 @t224)) (_ @t203 @t224)))) (not (tptp.irel @t223 @t222)) (_ @t202 @t222))))) @t229 (@list @t25 @t36 @t141 @t140 @t16 @t135 @t134))) % 0.37/0.61 (step @p279 :rule alpha_equiv :args (@t210 (@list @t25 @t36 @t32 @t30 @t16 @t12 @t9) @t229)) % 0.37/0.61 (step @p280 :rule trans :premises (@p279 @p278)) % 0.37/0.61 (step @p281 :rule equiv_elim1 :premises (@p280)) % 0.37/0.61 (step @p282 :rule cnf_equiv_neg1 :args (@t220)) % 0.37/0.61 (step @p283 :rule reordering :premises (@p282) :args ((or @t211 @t209 @t220))) % 0.37/0.61 (step @p284 :rule chain_m_resolution :premises (@p283 @p277 @p281) :args (@t211 (@list true false) (@list @t220 @t208))) % 0.37/0.61 (step @p285 :rule equiv_elim2 :premises (@p280)) % 0.37/0.61 (step @p286 :rule chain_m_resolution :premises (@p285 @p284) :args (@t209 @t221 (@list @t210))) % 0.37/0.61 (step @p287 :rule bool-double-not-elim :args (@t208)) % 0.37/0.61 (step @p288 :rule bool-double-not-elim :args (@t210)) % 0.37/0.61 (step @p289 :rule refl :args (@t220)) % 0.37/0.61 (step @p290 :rule nary_cong :premises (@p289 @p288 @p287) :args ((or @t220 (not @t211) (not @t209)))) % 0.37/0.61 (step @p291 :rule cnf_equiv_neg2 :args (@t220)) % 0.37/0.61 (step @p292 :rule eq_resolve :premises (@p291 @p290)) % 0.37/0.61 (step @p293 :rule reordering :premises (@p292) :args ((or @t210 @t208 @t220))) % 0.37/0.61 (step @p294 false :rule chain_m_resolution :premises (@p293 @p286 @p284 @p277) :args (false (@list true true true) (@list @t208 @t210 @t220))) % 0.37/0.61 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------