%------------------------------------------------------------------------------ % 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 : n017.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 0.38s 0.60s % Output : Proof 0.38s % 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. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.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 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 23:02:31 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.38/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-sort tptp.d_unsorted 0) % 0.38/0.60 (declare-const tptp.mnot (-> (-> $$unsorted Bool) $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.mor (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.mand (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.mimplies (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.mbox_s4 (-> (-> $$unsorted Bool) $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.iatom (-> (-> $$unsorted Bool) $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.inot (-> (-> $$unsorted Bool) $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.iand (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.ior (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.d_unsorted_0 tptp.d_unsorted) % 0.38/0.60 (declare-const tptp.d2unsorted (-> tptp.d_unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.irel (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.ifalse (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.itrue (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.iinvalid (-> (-> $$unsorted Bool) Bool)) % 0.38/0.60 (declare-const tptp.icountersatisfiable (-> (-> $$unsorted Bool) Bool)) % 0.38/0.60 (declare-const tptp.isatisfiable (-> (-> $$unsorted Bool) Bool)) % 0.38/0.60 (declare-const tptp.ivalid (-> (-> $$unsorted Bool) Bool)) % 0.38/0.60 (declare-const tptp.ixor (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.iequiv (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.iimplied (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.iimplies (-> (-> $$unsorted Bool) (-> $$unsorted Bool) $$unsorted Bool)) % 0.38/0.60 (define @t1 () (_ tptp.d2unsorted tptp.d_unsorted_0)) % 0.38/0.60 (define @t2 () (@var "W" $$unsorted)) % 0.38/0.60 (define @t3 () (@var "Phi" (-> $$unsorted Bool))) % 0.38/0.60 (define @t4 () (_ @t3 @t2)) % 0.38/0.60 (define @t5 () (@list @t2)) % 0.38/0.60 (define @t6 () (forall @t5 (not @t4))) % 0.38/0.60 (define @t7 () (@list @t3)) % 0.38/0.60 (define @t8 () (forall @t5 @t4)) % 0.38/0.60 (define @t9 () (@var "Bound_variable_866" $$unsorted)) % 0.38/0.60 (define @t10 () (@var "P" (-> $$unsorted Bool))) % 0.38/0.60 (define @t11 () (@var "Bound_variable_864" $$unsorted)) % 0.38/0.60 (define @t12 () (_ tptp.irel @t11)) % 0.38/0.60 (define @t13 () (@var "Bound_variable_746" $$unsorted)) % 0.38/0.60 (define @t14 () (@var "Q" (-> $$unsorted Bool))) % 0.38/0.60 (define @t15 () (_ @t14 @t13)) % 0.38/0.60 (define @t16 () (@list @t13)) % 0.38/0.60 (define @t17 () (@var "Y" $$unsorted)) % 0.38/0.60 (define @t18 () (_ tptp.irel @t17)) % 0.38/0.60 (define @t19 () (@var "Bound_variable_851" $$unsorted)) % 0.38/0.60 (define @t20 () (@var "Bound_variable_849" $$unsorted)) % 0.38/0.60 (define @t21 () (_ tptp.irel @t20)) % 0.38/0.60 (define @t22 () (@var "Bound_variable_693" $$unsorted)) % 0.38/0.60 (define @t23 () (_ @t10 @t22)) % 0.38/0.60 (define @t24 () (@list @t22)) % 0.38/0.60 (define @t25 () (@var "Flatten_var_0" $$unsorted)) % 0.38/0.60 (define @t26 () (_ (_ tptp.irel @t25) @t17)) % 0.38/0.60 (define @t27 () (not @t26)) % 0.38/0.60 (define @t28 () (@list @t10 @t14 @t25)) % 0.38/0.60 (define @t29 () (@var "Bound_variable_771" $$unsorted)) % 0.38/0.60 (define @t30 () (_ @t10 @t29)) % 0.38/0.60 (define @t31 () (_ @t18 @t29)) % 0.38/0.60 (define @t32 () (not @t31)) % 0.38/0.60 (define @t33 () (_ @t18 @t13)) % 0.38/0.60 (define @t34 () (not @t33)) % 0.38/0.60 (define @t35 () (or @t34 @t15)) % 0.38/0.60 (define @t36 () (forall @t16 @t35)) % 0.38/0.60 (define @t37 () (not @t36)) % 0.38/0.60 (define @t38 () (or @t27 @t37 @t32 @t30)) % 0.38/0.60 (define @t39 () (@list @t17 @t29)) % 0.38/0.60 (define @t40 () (forall @t39 @t38)) % 0.38/0.60 (define @t41 () (@var "Bound_variable_718" $$unsorted)) % 0.38/0.60 (define @t42 () (_ @t14 @t41)) % 0.38/0.60 (define @t43 () (_ @t18 @t41)) % 0.38/0.60 (define @t44 () (not @t43)) % 0.38/0.60 (define @t45 () (_ @t18 @t22)) % 0.38/0.60 (define @t46 () (not @t45)) % 0.38/0.60 (define @t47 () (or @t46 @t23)) % 0.38/0.60 (define @t48 () (forall @t24 @t47)) % 0.38/0.60 (define @t49 () (not @t48)) % 0.38/0.60 (define @t50 () (or @t27 @t49 @t44 @t42)) % 0.38/0.60 (define @t51 () (@list @t17 @t41)) % 0.38/0.60 (define @t52 () (forall @t51 @t50)) % 0.38/0.60 (define @t53 () (and @t52 @t40)) % 0.38/0.60 (define @t54 () (lambda @t28 @t53)) % 0.38/0.60 (define @t55 () (= tptp.iequiv @t54)) % 0.38/0.60 (define @t56 () (_ @t10 @t17)) % 0.38/0.60 (define @t57 () (or @t27 @t56)) % 0.38/0.60 (define @t58 () (@list @t17)) % 0.38/0.60 (define @t59 () (forall @t58 @t57)) % 0.38/0.60 (define @t60 () (_ @t14 @t17)) % 0.38/0.60 (define @t61 () (or @t27 @t60)) % 0.38/0.60 (define @t62 () (forall @t58 @t61)) % 0.38/0.60 (define @t63 () (not @t59)) % 0.38/0.60 (define @t64 () (or @t63 @t62)) % 0.38/0.60 (define @t65 () (lambda @t28 @t64)) % 0.38/0.60 (define @t66 () (= tptp.iimplies @t65)) % 0.38/0.60 (define @t67 () (and @t59 @t62)) % 0.38/0.60 (define @t68 () (lambda @t28 @t67)) % 0.38/0.60 (define @t69 () (= tptp.iand @t68)) % 0.38/0.60 (define @t70 () (@list @t10 @t25)) % 0.38/0.60 (define @t71 () (@var "X" $$unsorted)) % 0.38/0.60 (define @t72 () (@var "V" (-> $$unsorted Bool))) % 0.38/0.60 (define @t73 () (@var "U" (-> $$unsorted Bool))) % 0.38/0.60 (define @t74 () (@var "U" $$unsorted)) % 0.38/0.60 (define @t75 () (@var "Y" (-> $$unsorted Bool))) % 0.38/0.60 (define @t76 () (_ @t75 @t74)) % 0.38/0.60 (define @t77 () (@var "X" (-> $$unsorted Bool))) % 0.38/0.60 (define @t78 () (_ @t77 @t74)) % 0.38/0.60 (define @t79 () (@list @t77 @t75 @t74)) % 0.38/0.60 (define @t80 () (@var "DU2" tptp.d_unsorted)) % 0.38/0.60 (define @t81 () (@var "DU1" tptp.d_unsorted)) % 0.38/0.60 (define @t82 () (@var "DU" tptp.d_unsorted)) % 0.38/0.60 (define @t83 () (@list @t82)) % 0.38/0.60 (define @t84 () (@var "__flatten_var_0" $$unsorted)) % 0.38/0.60 (define @t85 () (@list @t10 @t14 @t84)) % 0.38/0.60 (define @t86 () (lambda @t85 (_ (_ (_ tptp.iand (_ (_ tptp.iimplies @t10) @t14)) (_ (_ tptp.iimplies @t14) @t10)) @t84))) % 0.38/0.60 (define @t87 () (= tptp.iequiv @t86)) % 0.38/0.60 (define @t88 () (not @t87)) % 0.38/0.60 (define @t89 () (@const 0 (-> $$unsorted Bool))) % 0.38/0.60 (define @t90 () (tptp.irel @t17 @t29)) % 0.38/0.60 (define @t91 () (not @t90)) % 0.38/0.60 (define @t92 () (@const 1 (-> $$unsorted Bool))) % 0.38/0.60 (define @t93 () (tptp.irel @t17 @t13)) % 0.38/0.60 (define @t94 () (not @t93)) % 0.38/0.60 (define @t95 () (@const 2 $$unsorted)) % 0.38/0.60 (define @t96 () (not (tptp.irel @t95 @t17))) % 0.38/0.60 (define @t97 () (forall @t39 (or @t96 (not (forall @t16 (or @t94 (_ @t92 @t13)))) @t91 (_ @t89 @t29)))) % 0.38/0.60 (define @t98 () (tptp.irel @t17 @t41)) % 0.38/0.60 (define @t99 () (not @t98)) % 0.38/0.60 (define @t100 () (tptp.irel @t17 @t22)) % 0.38/0.60 (define @t101 () (not @t100)) % 0.38/0.60 (define @t102 () (forall @t51 (or @t96 (not (forall @t24 (or @t101 (_ @t89 @t22)))) @t99 (_ @t92 @t41)))) % 0.38/0.60 (define @t103 () (and @t102 @t97)) % 0.38/0.60 (define @t104 () (not @t103)) % 0.38/0.60 (define @t105 () (@var "BOUND_VARIABLE_8210" $$unsorted)) % 0.38/0.60 (define @t106 () (@var "BOUND_VARIABLE_8209" $$unsorted)) % 0.38/0.60 (define @t107 () (@var "BOUND_VARIABLE_8208" $$unsorted)) % 0.38/0.60 (define @t108 () (@list @t107 @t106 @t105)) % 0.38/0.60 (define @t109 () (@var "BOUND_VARIABLE_7948" $$unsorted)) % 0.38/0.60 (define @t110 () (@var "BOUND_VARIABLE_7923" $$unsorted)) % 0.38/0.60 (define @t111 () (_ @t10 @t29)) % 0.38/0.60 (define @t112 () (_ @t14 @t13)) % 0.38/0.60 (define @t113 () (not (forall @t16 (or @t94 @t112)))) % 0.38/0.60 (define @t114 () (tptp.irel @t25 @t17)) % 0.38/0.60 (define @t115 () (not @t114)) % 0.38/0.60 (define @t116 () (_ @t14 @t41)) % 0.38/0.60 (define @t117 () (_ @t10 @t22)) % 0.38/0.60 (define @t118 () (not (forall @t24 (or @t101 @t117)))) % 0.38/0.60 (define @t119 () (lambda @t28 (and (forall @t51 (or @t115 @t118 @t99 @t116)) (forall @t39 (or @t115 @t113 @t91 @t111))))) % 0.38/0.60 (define @t120 () (@purify @t119)) % 0.38/0.60 (define @t121 () (_ @t10 @t109)) % 0.38/0.60 (define @t122 () (not (tptp.irel @t17 @t109))) % 0.38/0.60 (define @t123 () (_ @t14 @t110)) % 0.38/0.60 (define @t124 () (not (tptp.irel @t17 @t110))) % 0.38/0.60 (define @t125 () (@list @t110)) % 0.38/0.60 (define @t126 () (not (forall @t125 (or @t124 @t123)))) % 0.38/0.60 (define @t127 () (not (tptp.irel @t84 @t17))) % 0.38/0.60 (define @t128 () (@list @t17 @t109)) % 0.38/0.60 (define @t129 () (@var "BOUND_VARIABLE_7879" $$unsorted)) % 0.38/0.60 (define @t130 () (_ @t14 @t129)) % 0.38/0.60 (define @t131 () (not (tptp.irel @t17 @t129))) % 0.38/0.60 (define @t132 () (@var "BOUND_VARIABLE_7854" $$unsorted)) % 0.38/0.60 (define @t133 () (_ @t10 @t132)) % 0.38/0.60 (define @t134 () (not (tptp.irel @t17 @t132))) % 0.38/0.60 (define @t135 () (@list @t132)) % 0.38/0.60 (define @t136 () (not (forall @t135 (or @t134 @t133)))) % 0.38/0.60 (define @t137 () (@list @t17 @t129)) % 0.38/0.60 (define @t138 () (and (forall @t137 (or @t127 @t136 @t131 @t130)) (forall @t128 (or @t127 @t126 @t122 @t121)))) % 0.38/0.60 (define @t139 () (lambda @t85 @t138)) % 0.38/0.60 (define @t140 () (@purify @t139)) % 0.38/0.60 (define @t141 () (= @t119 @t139)) % 0.38/0.60 (define @t142 () (or @t115 @t126 @t122 @t121)) % 0.38/0.60 (define @t143 () (or @t115 @t136 @t131 @t130)) % 0.38/0.60 (define @t144 () (forall @t137 @t143)) % 0.38/0.60 (define @t145 () (@list @t25)) % 0.38/0.60 (define @t146 () (or @t122 @t121)) % 0.38/0.60 (define @t147 () (or @t115 @t126 @t146)) % 0.38/0.60 (define @t148 () (forall @t128 @t147)) % 0.38/0.60 (define @t149 () (@list @t109)) % 0.38/0.60 (define @t150 () (forall @t149 @t147)) % 0.38/0.60 (define @t151 () (forall @t149 @t146)) % 0.38/0.60 (define @t152 () (@var "BOUND_VARIABLE_7915" $$unsorted)) % 0.38/0.60 (define @t153 () (@list @t152)) % 0.38/0.60 (define @t154 () (or @t115 @t126 @t151)) % 0.38/0.60 (define @t155 () (_ @t10 @t152)) % 0.38/0.60 (define @t156 () (@list @t152)) % 0.38/0.60 (define @t157 () (forall @t156 (or (not (tptp.irel @t17 @t152)) @t155))) % 0.38/0.60 (define @t158 () (or @t115 @t126 @t157)) % 0.38/0.60 (define @t159 () (or @t126 @t157)) % 0.38/0.60 (define @t160 () (_ @t10 @t17)) % 0.38/0.60 (define @t161 () (forall @t58 (or @t115 @t160))) % 0.38/0.60 (define @t162 () (@list @t17)) % 0.38/0.60 (define @t163 () (_ @t14 @t17)) % 0.38/0.60 (define @t164 () (forall @t58 (or @t115 @t163))) % 0.38/0.60 (define @t165 () (not @t164)) % 0.38/0.60 (define @t166 () (or @t165 @t161)) % 0.38/0.60 (define @t167 () (lambda @t145 @t166)) % 0.38/0.60 (define @t168 () (or @t115 (_ @t167 @t17))) % 0.38/0.60 (define @t169 () (forall @t58 @t168)) % 0.38/0.60 (define @t170 () (and @t144 @t169)) % 0.38/0.60 (define @t171 () (lambda @t145 @t170)) % 0.38/0.60 (define @t172 () (@var "BOUND_VARIABLE_7830" (-> $$unsorted Bool))) % 0.38/0.60 (define @t173 () (forall @t58 (or @t115 (_ @t172 @t17)))) % 0.38/0.60 (define @t174 () (@list @t172 @t25)) % 0.38/0.60 (define @t175 () (@var "BOUND_VARIABLE_7892" (-> $$unsorted Bool))) % 0.38/0.60 (define @t176 () (forall @t58 (or @t115 (_ @t175 @t17)))) % 0.38/0.60 (define @t177 () (lambda (@list @t175 @t25) (or @t165 @t176))) % 0.38/0.60 (define @t178 () (not @t161)) % 0.38/0.60 (define @t179 () (or @t178 @t164)) % 0.38/0.60 (define @t180 () (lambda @t28 @t179)) % 0.38/0.60 (define @t181 () (@list @t14)) % 0.38/0.60 (define @t182 () (or @t131 @t130)) % 0.38/0.60 (define @t183 () (or @t115 @t136 @t182)) % 0.38/0.60 (define @t184 () (forall @t137 @t183)) % 0.38/0.60 (define @t185 () (@list @t129)) % 0.38/0.60 (define @t186 () (forall @t185 @t183)) % 0.38/0.60 (define @t187 () (forall @t185 @t182)) % 0.38/0.60 (define @t188 () (@var "BOUND_VARIABLE_7846" $$unsorted)) % 0.38/0.60 (define @t189 () (@list @t188)) % 0.38/0.60 (define @t190 () (or @t115 @t136 @t187)) % 0.38/0.60 (define @t191 () (_ @t14 @t188)) % 0.38/0.60 (define @t192 () (@list @t188)) % 0.38/0.60 (define @t193 () (forall @t192 (or (not (tptp.irel @t17 @t188)) @t191))) % 0.38/0.60 (define @t194 () (or @t115 @t136 @t193)) % 0.38/0.60 (define @t195 () (or @t136 @t193)) % 0.38/0.60 (define @t196 () (lambda @t145 @t179)) % 0.38/0.60 (define @t197 () (or @t115 (_ @t196 @t17))) % 0.38/0.60 (define @t198 () (forall @t58 @t197)) % 0.38/0.60 (define @t199 () (and @t198 @t173)) % 0.38/0.60 (define @t200 () (lambda @t174 @t199)) % 0.38/0.60 (define @t201 () (lambda @t28 (and @t161 @t164))) % 0.38/0.60 (define @t202 () (lambda (@list @t14 @t25) @t179)) % 0.38/0.60 (define @t203 () (_ @t180 @t10)) % 0.38/0.60 (define @t204 () (lambda @t85 (_ (_ (_ @t201 (_ @t203 @t14)) (_ (_ @t180 @t14) @t10)) @t84))) % 0.38/0.60 (define @t205 () (= @t119 @t204)) % 0.38/0.60 (define @t206 () (or @t27 @t113 @t32 @t30)) % 0.38/0.60 (define @t207 () (or @t27 @t118 @t44 @t42)) % 0.38/0.60 (define @t208 () (forall @t128 (or @t96 (not (forall @t125 (or @t124 (_ @t92 @t110)))) @t122 (_ @t89 @t109)))) % 0.38/0.60 (define @t209 () (forall @t137 (or @t96 (not (forall @t135 (or @t134 (_ @t89 @t132)))) @t131 (_ @t92 @t129)))) % 0.38/0.60 (define @t210 () (and @t209 @t208)) % 0.38/0.60 (define @t211 () (= (_ @t119 @t89 @t92 @t95) @t103)) % 0.38/0.60 (define @t212 () (_ @t120 @t89 @t92 @t95)) % 0.38/0.60 (define @t213 () (= (_ @t139 @t89 @t92 @t95) @t210)) % 0.38/0.60 (define @t214 () (_ @t140 @t89 @t92 @t95)) % 0.38/0.60 (define @t215 () (= @t214 @t212)) % 0.38/0.60 (define @t216 () (not @t215)) % 0.38/0.60 (define @t217 () (= @t140 @t120)) % 0.38/0.60 (define @t218 () (or @t217 @t216)) % 0.38/0.60 (define @t219 () (= @t103 @t210)) % 0.38/0.60 (define @t220 () (@list true)) % 0.38/0.60 (define @t221 () (not @t210)) % 0.38/0.60 (define @t222 () (@var "BOUND_VARIABLE_8176" $$unsorted)) % 0.38/0.60 (define @t223 () (@var "BOUND_VARIABLE_8175" $$unsorted)) % 0.38/0.60 (define @t224 () (@var "BOUND_VARIABLE_8174" $$unsorted)) % 0.38/0.60 (define @t225 () (@list @t224 @t223 @t222)) % 0.38/0.60 (define @t226 () (not @t102)) % 0.38/0.60 (define @t227 () (not @t97)) % 0.38/0.60 (define @t228 () (@list @t102)) % 0.38/0.60 (assume @p1 (and (forall (@list @t74) (exists @t83 (= @t74 (_ tptp.d2unsorted @t82)))) (forall @t83 (= @t82 tptp.d_unsorted_0)) (forall (@list @t81 @t80) (=> (= (_ tptp.d2unsorted @t81) (_ tptp.d2unsorted @t80)) (= @t81 @t80))) (= tptp.mnot (lambda (@list @t77 @t74) (not @t78))) (= tptp.mor (lambda @t79 (or @t78 @t76))) (= tptp.mand (lambda @t79 (and @t78 @t76))) (= tptp.mimplies (lambda (@list @t73 @t72 @t25) (or (not (_ @t73 @t25)) (_ @t72 @t25)))) (= tptp.mbox_s4 (lambda (@list @t10 @t71) (forall @t58 (or (not (_ (_ tptp.irel @t71) @t17)) @t56)))) (= tptp.iatom (lambda @t70 (_ @t10 @t25))) (= tptp.inot (lambda @t70 @t63)) @t69 (= tptp.ior (lambda @t28 (or @t59 @t62))) @t66 (= tptp.iimplied (lambda @t28 (or (not @t62) @t59))) @t55 (= tptp.ixor (lambda @t28 (not (forall (@list @t17 @t20 @t19 @t11 @t9) (or @t27 (and (or (not (_ @t18 @t20)) (not (forall @t24 (or (not (_ @t21 @t22)) @t23))) (not (_ @t21 @t19)) (_ @t14 @t19)) (or (not (_ @t18 @t11)) (not (forall @t16 (or (not (_ @t12 @t13)) @t15))) (not (_ @t12 @t9)) (_ @t10 @t9)))))))) (= 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)))) % 0.38/0.60 (assume @p2 @t88) % 0.38/0.60 (assume @p3 true) % 0.38/0.60 (step @p4 :rule cnf_and_pos :args (@t103 1)) % 0.38/0.60 (step @p5 :rule reordering :premises (@p4) :args ((or @t97 @t104))) % 0.38/0.60 (step @p6 :rule alpha_equiv :args ((forall (@list @t106 @t105) (or (not (tptp.irel @t95 @t106)) (not (forall (@list @t107) (or (not (tptp.irel @t106 @t107)) (_ @t92 @t107)))) (not (tptp.irel @t106 @t105)) (_ @t89 @t105))) @t108 (@list @t110 @t17 @t109))) % 0.38/0.60 (step @p7 :rule alpha_equiv :args (@t97 (@list @t13 @t17 @t29) @t108)) % 0.38/0.60 (step @p8 :rule trans :premises (@p7 @p6)) % 0.38/0.60 (step @p9 :rule equiv_elim2 :premises (@p8)) % 0.38/0.60 (step @p10 :rule eq-symm :args (@t120 @t140)) % 0.38/0.60 (step @p11 :rule eq-refl :args (@t139)) % 0.38/0.60 (step @p12 :rule skolem_intro :args (@t140)) % 0.38/0.60 (step @p13 :rule refl :args (@t139)) % 0.38/0.60 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t139 @t140))) % 0.38/0.60 (step @p15 :rule trans :premises (@p14 @p11)) % 0.38/0.60 (step @p16 :rule true_elim :premises (@p15)) % 0.38/0.60 (step @p17 :rule eq-refl :args (@t119)) % 0.38/0.60 (step @p18 :rule skolem_intro :args (@t120)) % 0.38/0.60 (step @p19 :rule refl :args (@t119)) % 0.38/0.60 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t119 @t120))) % 0.38/0.60 (step @p21 :rule trans :premises (@p20 @p17)) % 0.38/0.60 (step @p22 :rule true_elim :premises (@p21)) % 0.38/0.60 (step @p23 :rule cong :premises (@p22 @p16) :args (@t141)) % 0.38/0.60 (step @p24 :rule trans :premises (@p23 @p10)) % 0.38/0.60 (step @p25 :rule cong :premises (@p24) :args ((not @t141))) % 0.38/0.60 (step @p26 :rule beta-reduce :args ((= (_ (lambda @t145 (and @t144 (forall @t128 @t142))) @t84) @t138))) % 0.38/0.60 (step @p27 :rule refl :args (@t84)) % 0.38/0.60 (step @p28 :rule aci_norm :args ((= @t147 @t142))) % 0.38/0.60 (step @p29 :rule cong :premises (@p28) :args (@t148)) % 0.38/0.60 (step @p30 :rule quant-merge-prenex :args ((= (forall @t58 @t150) @t148))) % 0.38/0.60 (step @p31 :rule alpha_equiv :args (@t151 (@list @t109) @t153)) % 0.38/0.60 (step @p32 :rule refl :args (@t126)) % 0.38/0.60 (step @p33 :rule refl :args (@t115)) % 0.38/0.60 (step @p34 :rule nary_cong :premises (@p33 @p32 @p31) :args (@t154)) % 0.38/0.60 (step @p35 :rule quant-miniscope-or :args ((= @t150 @t154))) % 0.38/0.60 (step @p36 :rule trans :premises (@p35 @p34)) % 0.38/0.60 (step @p37 :rule symm :premises (@p36)) % 0.38/0.60 (step @p38 :rule cong :premises (@p37) :args ((forall @t58 @t158))) % 0.38/0.60 (step @p39 :rule trans :premises (@p38 @p30)) % 0.38/0.60 (step @p40 :rule trans :premises (@p39 @p29)) % 0.38/0.60 (step @p41 :rule aci_norm :args ((= (or @t115 @t159) @t158))) % 0.38/0.60 (step @p42 :rule beta-reduce :args ((= (_ (lambda @t145 (or (not (forall @t125 (or (not (tptp.irel @t25 @t110)) @t123))) (forall @t156 (or (not (tptp.irel @t25 @t152)) @t155)))) @t17) @t159))) % 0.38/0.60 (step @p43 :rule refl :args (@t17)) % 0.38/0.60 (step @p44 :rule alpha_equiv :args (@t161 @t162 @t153)) % 0.38/0.60 (step @p45 :rule alpha_equiv :args (@t164 @t162 (@list @t110))) % 0.38/0.60 (step @p46 :rule cong :premises (@p45) :args (@t165)) % 0.38/0.60 (step @p47 :rule nary_cong :premises (@p46 @p44) :args (@t166)) % 0.38/0.60 (step @p48 :rule cong :premises (@p47) :args (@t167)) % 0.38/0.60 (step @p49 :rule ho_cong :premises (@p48 @p43)) % 0.38/0.60 (step @p50 :rule trans :premises (@p49 @p42)) % 0.38/0.60 (step @p51 :rule refl :args (@t115)) % 0.38/0.60 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t168)) % 0.38/0.60 (step @p53 :rule trans :premises (@p52 @p41)) % 0.38/0.60 (step @p54 :rule cong :premises (@p53) :args (@t169)) % 0.38/0.60 (step @p55 :rule trans :premises (@p54 @p40)) % 0.38/0.60 (step @p56 :rule refl :args (@t144)) % 0.38/0.60 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t170)) % 0.38/0.60 (step @p58 :rule cong :premises (@p57) :args (@t171)) % 0.38/0.60 (step @p59 :rule beta-reduce :args ((= (_ (lambda @t174 (and @t144 @t173)) @t167) @t171))) % 0.38/0.60 (step @p60 :rule trans :premises (@p59 @p58)) % 0.38/0.60 (step @p61 :rule beta-reduce :args ((= (_ @t177 @t10) @t167))) % 0.38/0.60 (step @p62 :rule refl :args (@t10)) % 0.38/0.60 (step @p63 :rule beta-reduce :args ((= (_ (lambda (@list @t10 @t175 @t25) (or @t178 @t176)) @t14) @t177))) % 0.38/0.60 (step @p64 :rule refl :args (@t14)) % 0.38/0.60 (step @p65 :rule alpha_equiv :args (@t180 @t181 (@list @t175))) % 0.38/0.60 (step @p66 :rule ho_cong :premises (@p65 @p64)) % 0.38/0.60 (step @p67 :rule trans :premises (@p66 @p63)) % 0.38/0.60 (step @p68 :rule ho_cong :premises (@p67 @p62)) % 0.38/0.60 (step @p69 :rule trans :premises (@p68 @p61)) % 0.38/0.60 (step @p70 :rule refl :args (@t173)) % 0.38/0.60 (step @p71 :rule aci_norm :args ((= @t183 @t143))) % 0.38/0.60 (step @p72 :rule cong :premises (@p71) :args (@t184)) % 0.38/0.60 (step @p73 :rule quant-merge-prenex :args ((= (forall @t58 @t186) @t184))) % 0.38/0.60 (step @p74 :rule alpha_equiv :args (@t187 (@list @t129) @t189)) % 0.38/0.60 (step @p75 :rule refl :args (@t136)) % 0.38/0.60 (step @p76 :rule nary_cong :premises (@p33 @p75 @p74) :args (@t190)) % 0.38/0.60 (step @p77 :rule quant-miniscope-or :args ((= @t186 @t190))) % 0.38/0.60 (step @p78 :rule trans :premises (@p77 @p76)) % 0.38/0.60 (step @p79 :rule symm :premises (@p78)) % 0.38/0.60 (step @p80 :rule cong :premises (@p79) :args ((forall @t58 @t194))) % 0.38/0.60 (step @p81 :rule trans :premises (@p80 @p73)) % 0.38/0.60 (step @p82 :rule trans :premises (@p81 @p72)) % 0.38/0.60 (step @p83 :rule aci_norm :args ((= (or @t115 @t195) @t194))) % 0.38/0.60 (step @p84 :rule beta-reduce :args ((= (_ (lambda @t145 (or (not (forall @t135 (or (not (tptp.irel @t25 @t132)) @t133))) (forall @t192 (or (not (tptp.irel @t25 @t188)) @t191)))) @t17) @t195))) % 0.38/0.60 (step @p85 :rule alpha_equiv :args (@t164 @t162 @t189)) % 0.38/0.60 (step @p86 :rule alpha_equiv :args (@t161 @t162 (@list @t132))) % 0.38/0.60 (step @p87 :rule cong :premises (@p86) :args (@t178)) % 0.38/0.60 (step @p88 :rule nary_cong :premises (@p87 @p85) :args (@t179)) % 0.38/0.60 (step @p89 :rule cong :premises (@p88) :args (@t196)) % 0.38/0.60 (step @p90 :rule ho_cong :premises (@p89 @p43)) % 0.38/0.60 (step @p91 :rule trans :premises (@p90 @p84)) % 0.38/0.60 (step @p92 :rule nary_cong :premises (@p51 @p91) :args (@t197)) % 0.38/0.60 (step @p93 :rule trans :premises (@p92 @p83)) % 0.38/0.60 (step @p94 :rule cong :premises (@p93) :args (@t198)) % 0.38/0.60 (step @p95 :rule trans :premises (@p94 @p82)) % 0.38/0.60 (step @p96 :rule nary_cong :premises (@p95 @p70) :args (@t199)) % 0.38/0.60 (step @p97 :rule cong :premises (@p96) :args (@t200)) % 0.38/0.60 (step @p98 :rule beta-reduce :args ((= (_ (lambda (@list @t10 @t172 @t25) (and @t161 @t173)) @t196) @t200))) % 0.38/0.60 (step @p99 :rule trans :premises (@p98 @p97)) % 0.38/0.60 (step @p100 :rule refl :args (@t196)) % 0.38/0.60 (step @p101 :rule alpha_equiv :args (@t201 @t181 (@list @t172))) % 0.38/0.60 (step @p102 :rule ho_cong :premises (@p101 @p100)) % 0.38/0.60 (step @p103 :rule trans :premises (@p102 @p99)) % 0.38/0.60 (step @p104 :rule beta-reduce :args ((= (_ @t202 @t14) @t196))) % 0.38/0.60 (step @p105 :rule refl :args (@t14)) % 0.38/0.60 (step @p106 :rule beta-reduce :args ((= @t203 @t202))) % 0.38/0.60 (step @p107 :rule ho_cong :premises (@p106 @p105)) % 0.38/0.60 (step @p108 :rule trans :premises (@p107 @p104)) % 0.38/0.60 (step @p109 :rule refl :args (@t201)) % 0.38/0.60 (step @p110 :rule ho_cong :premises (@p109 @p108)) % 0.38/0.60 (step @p111 :rule trans :premises (@p110 @p103)) % 0.38/0.60 (step @p112 :rule ho_cong :premises (@p111 @p69)) % 0.38/0.60 (step @p113 :rule trans :premises (@p112 @p60)) % 0.38/0.60 (step @p114 :rule ho_cong :premises (@p113 @p27)) % 0.38/0.60 (step @p115 :rule trans :premises (@p114 @p26)) % 0.38/0.60 (step @p116 :rule cong :premises (@p115) :args (@t204)) % 0.38/0.60 (step @p117 :rule cong :premises (@p19 @p116) :args (@t205)) % 0.38/0.60 (step @p118 :rule cong :premises (@p117) :args ((not @t205))) % 0.38/0.60 (step @p119 :rule refl :args (@t163)) % 0.38/0.60 (step @p120 :rule refl :args (@t60)) % 0.38/0.60 (step @p121 :rule cong :premises (@p120 @p119) :args ((= @t60 @t163))) % 0.38/0.60 (step @p122 :rule symm :premises (@p121)) % 0.38/0.60 (step @p123 :rule eq_resolve :premises (@p120 @p122)) % 0.38/0.60 (step @p124 :rule refl :args (@t114)) % 0.38/0.60 (step @p125 :rule refl :args (@t26)) % 0.38/0.60 (step @p126 :rule cong :premises (@p125 @p124) :args ((= @t26 @t114))) % 0.38/0.60 (step @p127 :rule symm :premises (@p126)) % 0.38/0.60 (step @p128 :rule eq_resolve :premises (@p125 @p127)) % 0.38/0.60 (step @p129 :rule cong :premises (@p128) :args (@t27)) % 0.38/0.60 (step @p130 :rule nary_cong :premises (@p129 @p123) :args (@t61)) % 0.38/0.60 (step @p131 :rule cong :premises (@p130) :args (@t62)) % 0.38/0.60 (step @p132 :rule refl :args (@t160)) % 0.38/0.60 (step @p133 :rule refl :args (@t56)) % 0.38/0.60 (step @p134 :rule cong :premises (@p133 @p132) :args ((= @t56 @t160))) % 0.38/0.60 (step @p135 :rule symm :premises (@p134)) % 0.38/0.60 (step @p136 :rule eq_resolve :premises (@p133 @p135)) % 0.38/0.60 (step @p137 :rule nary_cong :premises (@p129 @p136) :args (@t57)) % 0.38/0.60 (step @p138 :rule cong :premises (@p137) :args (@t59)) % 0.38/0.60 (step @p139 :rule cong :premises (@p138) :args (@t63)) % 0.38/0.60 (step @p140 :rule nary_cong :premises (@p139 @p131) :args (@t64)) % 0.38/0.60 (step @p141 :rule cong :premises (@p140) :args (@t65)) % 0.38/0.60 (step @p142 :rule refl :args (tptp.iimplies)) % 0.38/0.60 (step @p143 :rule cong :premises (@p142 @p141) :args (@t66)) % 0.38/0.60 (step @p144 :rule and_elim :premises (@p1) :args (12)) % 0.38/0.60 (step @p145 :rule eq_resolve :premises (@p144 @p143)) % 0.38/0.60 (step @p146 :rule ho_cong :premises (@p145 @p105)) % 0.38/0.60 (step @p147 :rule ho_cong :premises (@p146 @p62)) % 0.38/0.60 (step @p148 :rule ho_cong :premises (@p145 @p62)) % 0.38/0.60 (step @p149 :rule ho_cong :premises (@p148 @p105)) % 0.38/0.60 (step @p150 :rule nary_cong :premises (@p138 @p131) :args (@t67)) % 0.38/0.60 (step @p151 :rule cong :premises (@p150) :args (@t68)) % 0.38/0.60 (step @p152 :rule refl :args (tptp.iand)) % 0.38/0.60 (step @p153 :rule cong :premises (@p152 @p151) :args (@t69)) % 0.38/0.60 (step @p154 :rule and_elim :premises (@p1) :args (10)) % 0.38/0.60 (step @p155 :rule eq_resolve :premises (@p154 @p153)) % 0.38/0.60 (step @p156 :rule ho_cong :premises (@p155 @p149)) % 0.38/0.60 (step @p157 :rule ho_cong :premises (@p156 @p147)) % 0.38/0.60 (step @p158 :rule ho_cong :premises (@p157 @p27)) % 0.38/0.60 (step @p159 :rule cong :premises (@p158) :args (@t86)) % 0.38/0.60 (step @p160 :rule refl :args (@t111)) % 0.38/0.60 (step @p161 :rule refl :args (@t30)) % 0.38/0.60 (step @p162 :rule cong :premises (@p161 @p160) :args ((= @t30 @t111))) % 0.38/0.60 (step @p163 :rule symm :premises (@p162)) % 0.38/0.60 (step @p164 :rule eq_resolve :premises (@p161 @p163)) % 0.38/0.60 (step @p165 :rule refl :args (@t90)) % 0.38/0.60 (step @p166 :rule refl :args (@t31)) % 0.38/0.60 (step @p167 :rule cong :premises (@p166 @p165) :args ((= @t31 @t90))) % 0.38/0.60 (step @p168 :rule symm :premises (@p167)) % 0.38/0.60 (step @p169 :rule eq_resolve :premises (@p166 @p168)) % 0.38/0.60 (step @p170 :rule cong :premises (@p169) :args (@t32)) % 0.38/0.60 (step @p171 :rule refl :args (@t113)) % 0.38/0.60 (step @p172 :rule nary_cong :premises (@p129 @p171 @p170 @p164) :args (@t206)) % 0.38/0.60 (step @p173 :rule cong :premises (@p172) :args ((forall @t39 @t206))) % 0.38/0.60 (step @p174 :rule refl :args (@t30)) % 0.38/0.60 (step @p175 :rule refl :args (@t32)) % 0.38/0.60 (step @p176 :rule refl :args (@t112)) % 0.38/0.60 (step @p177 :rule refl :args (@t15)) % 0.38/0.60 (step @p178 :rule cong :premises (@p177 @p176) :args ((= @t15 @t112))) % 0.38/0.60 (step @p179 :rule symm :premises (@p178)) % 0.38/0.60 (step @p180 :rule eq_resolve :premises (@p177 @p179)) % 0.38/0.60 (step @p181 :rule refl :args (@t93)) % 0.38/0.60 (step @p182 :rule refl :args (@t33)) % 0.38/0.60 (step @p183 :rule cong :premises (@p182 @p181) :args ((= @t33 @t93))) % 0.38/0.60 (step @p184 :rule symm :premises (@p183)) % 0.38/0.60 (step @p185 :rule eq_resolve :premises (@p182 @p184)) % 0.38/0.60 (step @p186 :rule cong :premises (@p185) :args (@t34)) % 0.38/0.60 (step @p187 :rule nary_cong :premises (@p186 @p180) :args (@t35)) % 0.38/0.60 (step @p188 :rule cong :premises (@p187) :args (@t36)) % 0.38/0.60 (step @p189 :rule cong :premises (@p188) :args (@t37)) % 0.38/0.60 (step @p190 :rule refl :args (@t27)) % 0.38/0.60 (step @p191 :rule nary_cong :premises (@p190 @p189 @p175 @p174) :args (@t38)) % 0.38/0.60 (step @p192 :rule cong :premises (@p191) :args (@t40)) % 0.38/0.60 (step @p193 :rule trans :premises (@p192 @p173)) % 0.38/0.60 (step @p194 :rule refl :args (@t116)) % 0.38/0.60 (step @p195 :rule refl :args (@t42)) % 0.38/0.60 (step @p196 :rule cong :premises (@p195 @p194) :args ((= @t42 @t116))) % 0.38/0.60 (step @p197 :rule symm :premises (@p196)) % 0.38/0.60 (step @p198 :rule eq_resolve :premises (@p195 @p197)) % 0.38/0.60 (step @p199 :rule refl :args (@t98)) % 0.38/0.60 (step @p200 :rule refl :args (@t43)) % 0.38/0.60 (step @p201 :rule cong :premises (@p200 @p199) :args ((= @t43 @t98))) % 0.38/0.60 (step @p202 :rule symm :premises (@p201)) % 0.38/0.60 (step @p203 :rule eq_resolve :premises (@p200 @p202)) % 0.38/0.60 (step @p204 :rule cong :premises (@p203) :args (@t44)) % 0.38/0.60 (step @p205 :rule refl :args (@t118)) % 0.38/0.60 (step @p206 :rule nary_cong :premises (@p129 @p205 @p204 @p198) :args (@t207)) % 0.38/0.60 (step @p207 :rule cong :premises (@p206) :args ((forall @t51 @t207))) % 0.38/0.60 (step @p208 :rule refl :args (@t42)) % 0.38/0.60 (step @p209 :rule refl :args (@t44)) % 0.38/0.60 (step @p210 :rule refl :args (@t117)) % 0.38/0.60 (step @p211 :rule refl :args (@t23)) % 0.38/0.60 (step @p212 :rule cong :premises (@p211 @p210) :args ((= @t23 @t117))) % 0.38/0.60 (step @p213 :rule symm :premises (@p212)) % 0.38/0.60 (step @p214 :rule eq_resolve :premises (@p211 @p213)) % 0.38/0.60 (step @p215 :rule refl :args (@t100)) % 0.38/0.60 (step @p216 :rule refl :args (@t45)) % 0.38/0.60 (step @p217 :rule cong :premises (@p216 @p215) :args ((= @t45 @t100))) % 0.38/0.60 (step @p218 :rule symm :premises (@p217)) % 0.38/0.60 (step @p219 :rule eq_resolve :premises (@p216 @p218)) % 0.38/0.60 (step @p220 :rule cong :premises (@p219) :args (@t46)) % 0.38/0.60 (step @p221 :rule nary_cong :premises (@p220 @p214) :args (@t47)) % 0.38/0.60 (step @p222 :rule cong :premises (@p221) :args (@t48)) % 0.38/0.60 (step @p223 :rule cong :premises (@p222) :args (@t49)) % 0.38/0.60 (step @p224 :rule nary_cong :premises (@p190 @p223 @p209 @p208) :args (@t50)) % 0.38/0.60 (step @p225 :rule cong :premises (@p224) :args (@t52)) % 0.38/0.60 (step @p226 :rule trans :premises (@p225 @p207)) % 0.38/0.60 (step @p227 :rule nary_cong :premises (@p226 @p193) :args (@t53)) % 0.38/0.60 (step @p228 :rule cong :premises (@p227) :args (@t54)) % 0.38/0.60 (step @p229 :rule refl :args (tptp.iequiv)) % 0.38/0.60 (step @p230 :rule cong :premises (@p229 @p228) :args (@t55)) % 0.38/0.60 (step @p231 :rule and_elim :premises (@p1) :args (14)) % 0.38/0.60 (step @p232 :rule eq_resolve :premises (@p231 @p230)) % 0.38/0.60 (step @p233 :rule cong :premises (@p232 @p159) :args (@t87)) % 0.38/0.60 (step @p234 :rule cong :premises (@p233) :args (@t88)) % 0.38/0.60 (step @p235 :rule trans :premises (@p234 @p118)) % 0.38/0.60 (step @p236 :rule trans :premises (@p235 @p25)) % 0.38/0.60 (step @p237 :rule eq_resolve :premises (@p2 @p236)) % 0.38/0.60 (step @p238 :rule eq-symm :args (@t210 @t103)) % 0.38/0.60 (step @p239 :rule eq-refl :args (@t103)) % 0.38/0.60 (step @p240 :rule refl :args (@t103)) % 0.38/0.60 (step @p241 :rule beta-reduce :args (@t211)) % 0.38/0.60 (step @p242 :rule cong :premises (@p241 @p240) :args (@t211)) % 0.38/0.60 (step @p243 :rule trans :premises (@p242 @p239)) % 0.38/0.60 (step @p244 :rule refl :args (@t95)) % 0.38/0.60 (step @p245 :rule refl :args (@t92)) % 0.38/0.60 (step @p246 :rule refl :args (@t89)) % 0.38/0.60 (step @p247 :rule ho_cong :premises (@p18 @p246 @p245 @p244)) % 0.38/0.60 (step @p248 :rule cong :premises (@p247 @p240) :args ((= @t212 @t103))) % 0.38/0.60 (step @p249 :rule trans :premises (@p248 @p243)) % 0.38/0.60 (step @p250 :rule true_elim :premises (@p249)) % 0.38/0.60 (step @p251 :rule eq-refl :args (@t210)) % 0.38/0.60 (step @p252 :rule refl :args (@t210)) % 0.38/0.60 (step @p253 :rule beta-reduce :args (@t213)) % 0.38/0.60 (step @p254 :rule cong :premises (@p253 @p252) :args (@t213)) % 0.38/0.60 (step @p255 :rule trans :premises (@p254 @p251)) % 0.38/0.60 (step @p256 :rule ho_cong :premises (@p12 @p246 @p245 @p244)) % 0.38/0.60 (step @p257 :rule cong :premises (@p256 @p252) :args ((= @t214 @t210))) % 0.38/0.60 (step @p258 :rule trans :premises (@p257 @p255)) % 0.38/0.60 (step @p259 :rule true_elim :premises (@p258)) % 0.38/0.60 (step @p260 :rule cong :premises (@p259 @p250) :args (@t215)) % 0.38/0.60 (step @p261 :rule trans :premises (@p260 @p238)) % 0.38/0.60 (step @p262 :rule cong :premises (@p261) :args (@t216)) % 0.38/0.60 (step @p263 :rule refl :args (@t217)) % 0.38/0.60 (step @p264 :rule nary_cong :premises (@p263 @p262) :args (@t218)) % 0.38/0.60 ; WARNING: add trust step for TRUST % 0.38/0.60 ; trust TRUST THEORY_LEMMA % 0.38/0.60 (step @p265 :rule trust :premises () :args (@t218)) % 0.38/0.60 (step @p266 :rule eq_resolve :premises (@p265 @p264)) % 0.38/0.60 (step @p267 :rule chain_m_resolution :premises (@p266 @p237) :args ((not @t219) @t220 (@list @t217))) % 0.38/0.60 (step @p268 :rule cnf_equiv_neg1 :args (@t219)) % 0.38/0.60 (step @p269 :rule reordering :premises (@p268) :args ((or @t103 @t210 @t219))) % 0.38/0.60 (step @p270 :rule cnf_and_pos :args (@t210 1)) % 0.38/0.60 (step @p271 :rule reordering :premises (@p270) :args ((or @t208 @t221))) % 0.38/0.60 (step @p272 :rule chain_m_resolution :premises (@p271 @p269 @p267 @p9 @p5) :args (@t97 (@list false true true true) (@list @t210 @t219 @t208 @t103))) % 0.38/0.60 (step @p273 :rule alpha_equiv :args ((forall (@list @t223 @t222) (or (not (tptp.irel @t95 @t223)) (not (forall (@list @t224) (or (not (tptp.irel @t223 @t224)) (_ @t89 @t224)))) (not (tptp.irel @t223 @t222)) (_ @t92 @t222))) @t225 (@list @t132 @t17 @t129))) % 0.38/0.60 (step @p274 :rule alpha_equiv :args (@t102 (@list @t22 @t17 @t41) @t225)) % 0.38/0.60 (step @p275 :rule trans :premises (@p274 @p273)) % 0.38/0.60 (step @p276 :rule equiv_elim1 :premises (@p275)) % 0.38/0.60 (step @p277 :rule reordering :premises (@p276) :args ((or @t209 @t226))) % 0.38/0.60 (step @p278 :rule cnf_and_neg :args (@t103)) % 0.38/0.60 (step @p279 :rule equiv_elim1 :premises (@p8)) % 0.38/0.60 (step @p280 :rule reordering :premises (@p279) :args ((or @t208 @t227))) % 0.38/0.60 (step @p281 :rule cnf_equiv_neg2 :args (@t219)) % 0.38/0.60 (step @p282 :rule cnf_and_neg :args (@t210)) % 0.38/0.60 (step @p283 :rule chain_m_resolution :premises (@p282 @p281 @p267 @p280 @p278 @p277) :args ((or @t226 @t227) (@list true true false false false) (@list @t210 @t219 @t208 @t103 @t209))) % 0.38/0.60 (step @p284 :rule chain_m_resolution :premises (@p283 @p272) :args (@t226 (@list false) (@list @t97))) % 0.38/0.61 (step @p285 :rule equiv_elim2 :premises (@p275)) % 0.38/0.61 (step @p286 :rule chain_m_resolution :premises (@p285 @p284) :args ((not @t209) @t220 @t228)) % 0.38/0.61 (step @p287 :rule cnf_and_pos :args (@t103 0)) % 0.38/0.61 (step @p288 :rule reordering :premises (@p287) :args ((or @t102 @t104))) % 0.38/0.61 (step @p289 :rule chain_m_resolution :premises (@p288 @p284) :args (@t104 @t220 @t228)) % 0.38/0.61 (step @p290 :rule chain_m_resolution :premises (@p269 @p289 @p267) :args (@t210 (@list true true) (@list @t103 @t219))) % 0.38/0.61 (step @p291 :rule cnf_and_pos :args (@t210 0)) % 0.38/0.61 (step @p292 :rule reordering :premises (@p291) :args ((or @t209 @t221))) % 0.38/0.61 (step @p293 false :rule chain_m_resolution :premises (@p292 @p290 @p286) :args (false (@list false true) (@list @t210 @t209))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------