%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL957^6 : TPTP v9.3.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:15 AM UTC 2026 % Result : Theorem 2.63s 3.03s % Output : Proof 2.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL957^6 : TPTP v9.3.1. Released v8.1.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.13/0.38 % Computer : n007.cluster.edu % 0.13/0.38 % Model : x86_64 x86_64 % 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.38 % Memory : 8046.5625MB % 0.13/0.38 % OS : Linux 6.8.0-71-generic % 0.13/0.39 % CPULimit : 300 % 0.13/0.39 % WCLimit : 300 % 0.13/0.39 % DateTime : Fri Sep 4 22:27:54 UTC 2026 % 0.13/0.39 % CPUTime : % 0.22/0.47 %----Proving TH0 % 2.63/3.03 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 2.63/3.03 % SZS status Theorem % 2.63/3.03 % SZS output start Proof % 2.63/3.03 ( % 2.63/3.03 (declare-sort $$unsorted 0) % 2.63/3.03 (declare-sort tptp.mworld 0) % 2.63/3.03 (declare-const tptp.mactual tptp.mworld) % 2.63/3.03 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 2.63/3.03 (declare-const tptp.big_r (-> $$unsorted $$unsorted tptp.mworld Bool)) % 2.63/3.03 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 2.63/3.03 (define tptp.mnot () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 2.63/3.03 (define tptp.mand () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 2.63/3.03 (define tptp.mor () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 2.63/3.03 (define tptp.mimplies () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (=> (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 2.63/3.03 (define tptp.mequiv () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 2.63/3.03 (define tptp.mbox () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 2.63/3.03 (define tptp.mdia () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (exists (@list _let_1) (and (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 2.63/3.03 (define tptp.mforall_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 2.63/3.03 (define tptp.mexists_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 2.63/3.03 (define @t1 () (@var "V" tptp.mworld)) % 2.63/3.03 (define @t2 () (@var "W" tptp.mworld)) % 2.63/3.03 (define @t3 () (_ (_ tptp.mrel @t2) @t1)) % 2.63/3.03 (define @t4 () (@list @t2 @t1)) % 2.63/3.03 (define @t5 () (forall @t4 @t3)) % 2.63/3.03 (define @t6 () (@var "__flatten_var_0" tptp.mworld)) % 2.63/3.03 (define @t7 () (@var "V" $$unsorted)) % 2.63/3.03 (define @t8 () (_ (_ tptp.big_r @t7) @t7)) % 2.63/3.03 (define @t9 () (@var "U" $$unsorted)) % 2.63/3.03 (define @t10 () (_ (_ tptp.big_r @t9) @t9)) % 2.63/3.03 (define @t11 () (@list @t7 @t6)) % 2.63/3.03 (define @t12 () (lambda @t11 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ tptp.mbox @t10)) (_ tptp.mbox @t8))) @t6))) % 2.63/3.03 (define @t13 () (@list @t9 @t6)) % 2.63/3.03 (define @t14 () (lambda @t13 (_ (_ tptp.mbox (_ tptp.mforall_di @t12)) @t6))) % 2.63/3.03 (define @t15 () (@var "Y" $$unsorted)) % 2.63/3.03 (define @t16 () (_ (_ tptp.big_r @t15) @t15)) % 2.63/3.03 (define @t17 () (@list @t15 @t6)) % 2.63/3.03 (define @t18 () (lambda @t17 (_ (_ tptp.mbox @t16) @t6))) % 2.63/3.03 (define @t19 () (@var "X" $$unsorted)) % 2.63/3.03 (define @t20 () (_ (_ tptp.big_r @t19) @t19)) % 2.63/3.03 (define @t21 () (@list @t19 @t6)) % 2.63/3.03 (define @t22 () (lambda @t21 (_ (_ tptp.mbox @t20) @t6))) % 2.63/3.03 (define @t23 () (not (_ tptp.mlocal (_ tptp.mbox (_ (_ tptp.mimplies (_ tptp.mbox (_ (_ tptp.mimplies (_ tptp.mexists_di @t22)) (_ tptp.mbox (_ tptp.mforall_di @t18))))) (_ tptp.mexists_di @t14)))))) % 2.63/3.03 (define @t24 () (@var "Phi" (-> tptp.mworld Bool))) % 2.63/3.03 (define @t25 () (lambda (@list @t24) (_ @t24 tptp.mactual))) % 2.63/3.03 (define @t26 () (@var "A" (-> tptp.mworld Bool))) % 2.63/3.03 (define @t27 () (_ @t26 @t2)) % 2.63/3.03 (define @t28 () (lambda (@list @t26 @t2) (not @t27))) % 2.63/3.03 (define @t29 () (@var "B" (-> tptp.mworld Bool))) % 2.63/3.03 (define @t30 () (_ @t29 @t2)) % 2.63/3.03 (define @t31 () (@list @t26 @t29 @t2)) % 2.63/3.03 (define @t32 () (lambda @t31 (and @t27 @t30))) % 2.63/3.03 (define @t33 () (lambda @t31 (or @t27 @t30))) % 2.63/3.03 (define @t34 () (lambda @t31 (=> @t27 @t30))) % 2.63/3.03 (define @t35 () (lambda @t31 (= @t27 @t30))) % 2.63/3.03 (define @t36 () (_ @t24 @t1)) % 2.63/3.03 (define @t37 () (@list @t1)) % 2.63/3.03 (define @t38 () (forall @t37 (=> @t3 @t36))) % 2.63/3.03 (define @t39 () (@list @t24 @t2)) % 2.63/3.03 (define @t40 () (lambda @t39 @t38)) % 2.63/3.03 (define @t41 () (lambda @t39 (exists @t37 (and @t3 @t36)))) % 2.63/3.03 (define @t42 () (@var "A" (-> $$unsorted tptp.mworld Bool))) % 2.63/3.03 (define @t43 () (_ (_ @t42 @t19) @t2)) % 2.63/3.03 (define @t44 () (@list @t19)) % 2.63/3.03 (define @t45 () (forall @t44 @t43)) % 2.63/3.03 (define @t46 () (@list @t42 @t2)) % 2.63/3.03 (define @t47 () (lambda @t46 @t45)) % 2.63/3.03 (define @t48 () (exists @t44 @t43)) % 2.63/3.03 (define @t49 () (lambda @t46 @t48)) % 2.63/3.03 (define @t50 () (tptp.mrel @t2 @t1)) % 2.63/3.03 (define @t51 () (@var "BOUND_VARIABLE_7960" tptp.mworld)) % 2.63/3.03 (define @t52 () (@var "BOUND_VARIABLE_7956" $$unsorted)) % 2.63/3.03 (define @t53 () (tptp.big_r @t52 @t52 @t51)) % 2.63/3.03 (define @t54 () (@var "BOUND_VARIABLE_7958" tptp.mworld)) % 2.63/3.03 (define @t55 () (not (tptp.mrel @t54 @t51))) % 2.63/3.03 (define @t56 () (@var "BOUND_VARIABLE_7875" tptp.mworld)) % 2.63/3.03 (define @t57 () (not (tptp.mrel @t54 @t56))) % 2.63/3.03 (define @t58 () (@list @t56)) % 2.63/3.03 (define @t59 () (not (forall @t58 (or @t57 (tptp.big_r @t19 @t19 @t56))))) % 2.63/3.03 (define @t60 () (@var "BOUND_VARIABLE_8011" tptp.mworld)) % 2.63/3.03 (define @t61 () (not (tptp.mrel @t60 @t54))) % 2.63/3.03 (define @t62 () (@list @t60 @t52 @t54 @t51)) % 2.63/3.03 (define @t63 () (not (forall @t44 (not (forall @t62 (or (not (tptp.mrel @t1 @t60)) @t61 @t59 @t55 @t53)))))) % 2.63/3.03 (define @t64 () (@var "BOUND_VARIABLE_7806" tptp.mworld)) % 2.63/3.03 (define @t65 () (@var "BOUND_VARIABLE_7804" $$unsorted)) % 2.63/3.03 (define @t66 () (tptp.big_r @t65 @t65 @t64)) % 2.63/3.03 (define @t67 () (@var "BOUND_VARIABLE_7802" tptp.mworld)) % 2.63/3.03 (define @t68 () (not (tptp.mrel @t67 @t64))) % 2.63/3.03 (define @t69 () (@var "BOUND_VARIABLE_8023" tptp.mworld)) % 2.63/3.03 (define @t70 () (not (tptp.mrel @t69 @t67))) % 2.63/3.03 (define @t71 () (@var "BOUND_VARIABLE_7765" tptp.mworld)) % 2.63/3.03 (define @t72 () (@var "BOUND_VARIABLE_7796" $$unsorted)) % 2.63/3.03 (define @t73 () (tptp.big_r @t72 @t72 @t71)) % 2.63/3.03 (define @t74 () (@list @t71)) % 2.63/3.03 (define @t75 () (not (forall @t74 (or (not (tptp.mrel @t69 @t71)) @t73)))) % 2.63/3.03 (define @t76 () (@list @t69 @t72 @t67 @t65 @t64)) % 2.63/3.03 (define @t77 () (forall @t76 (or (not (tptp.mrel @t1 @t69)) @t75 @t70 @t68 @t66))) % 2.63/3.03 (define @t78 () (not @t77)) % 2.63/3.03 (define @t79 () (forall @t37 (or (not (tptp.mrel tptp.mactual @t1)) @t78 @t63))) % 2.63/3.03 (define @t80 () (not @t50)) % 2.63/3.03 (define @t81 () (or @t80 @t78 @t63)) % 2.63/3.03 (define @t82 () (@list @t2)) % 2.63/3.03 (define @t83 () (lambda @t82 (forall @t37 @t81))) % 2.63/3.03 (define @t84 () (_ @t83 tptp.mactual)) % 2.63/3.03 (define @t85 () (=> @t77 @t63)) % 2.63/3.03 (define @t86 () (or @t80 @t85)) % 2.63/3.03 (define @t87 () (not (tptp.mrel @t1 @t54))) % 2.63/3.03 (define @t88 () (@list @t1 @t52 @t54 @t51)) % 2.63/3.03 (define @t89 () (forall @t88 (or @t80 @t87 @t59 @t55 @t53))) % 2.63/3.03 (define @t90 () (@list @t1)) % 2.63/3.03 (define @t91 () (not @t89)) % 2.63/3.03 (define @t92 () (forall @t44 @t91)) % 2.63/3.03 (define @t93 () (not @t92)) % 2.63/3.03 (define @t94 () (not (tptp.mrel @t1 @t67))) % 2.63/3.03 (define @t95 () (not (tptp.mrel @t1 @t71))) % 2.63/3.03 (define @t96 () (not (forall @t74 (or @t95 @t73)))) % 2.63/3.03 (define @t97 () (or @t80 @t96 @t94 @t68 @t66)) % 2.63/3.03 (define @t98 () (@list @t1 @t72 @t67 @t65 @t64)) % 2.63/3.03 (define @t99 () (forall @t98 @t97)) % 2.63/3.03 (define @t100 () (=> @t99 @t93)) % 2.63/3.03 (define @t101 () (lambda @t82 @t100)) % 2.63/3.03 (define @t102 () (or @t80 (_ @t101 @t1))) % 2.63/3.03 (define @t103 () (forall @t37 @t102)) % 2.63/3.03 (define @t104 () (lambda @t82 @t103)) % 2.63/3.03 (define @t105 () (_ @t24 @t1)) % 2.63/3.03 (define @t106 () (lambda @t39 (forall @t37 (or @t80 @t105)))) % 2.63/3.03 (define @t107 () (lambda @t82 @t93)) % 2.63/3.03 (define @t108 () (_ @t107 @t2)) % 2.63/3.03 (define @t109 () (=> @t99 @t108)) % 2.63/3.03 (define @t110 () (lambda @t82 @t109)) % 2.63/3.03 (define @t111 () (@list @t29 @t2)) % 2.63/3.03 (define @t112 () (tptp.big_r @t9 @t9 @t56)) % 2.63/3.03 (define @t113 () (not (forall @t58 (or @t57 @t112)))) % 2.63/3.03 (define @t114 () (not (tptp.mrel @t6 @t1))) % 2.63/3.03 (define @t115 () (forall @t88 (or @t114 @t87 @t113 @t55 @t53))) % 2.63/3.03 (define @t116 () (lambda @t13 @t115)) % 2.63/3.03 (define @t117 () (_ @t116 @t19 @t2)) % 2.63/3.03 (define @t118 () (not @t117)) % 2.63/3.04 (define @t119 () (forall @t44 @t118)) % 2.63/3.04 (define @t120 () (not @t119)) % 2.63/3.04 (define @t121 () (lambda @t82 @t120)) % 2.63/3.04 (define @t122 () (_ @t42 @t19 @t2)) % 2.63/3.04 (define @t123 () (lambda @t46 (not (forall @t44 (not @t122))))) % 2.63/3.04 (define @t124 () (or @t80 @t87 @t113 @t55 @t53)) % 2.63/3.04 (define @t125 () (or @t87 @t113 @t55 @t53)) % 2.63/3.04 (define @t126 () (or @t80 @t125)) % 2.63/3.04 (define @t127 () (forall @t88 @t126)) % 2.63/3.04 (define @t128 () (@list @t52 @t54 @t51)) % 2.63/3.04 (define @t129 () (forall @t128 @t126)) % 2.63/3.04 (define @t130 () (forall @t128 @t125)) % 2.63/3.04 (define @t131 () (@var "BOUND_VARIABLE_7901" tptp.mworld)) % 2.63/3.04 (define @t132 () (@var "BOUND_VARIABLE_7934" tptp.mworld)) % 2.63/3.04 (define @t133 () (or @t80 @t130)) % 2.63/3.04 (define @t134 () (tptp.big_r @t19 @t19 @t131)) % 2.63/3.04 (define @t135 () (not (tptp.mrel @t132 @t131))) % 2.63/3.04 (define @t136 () (not (forall @t58 (or (not (tptp.mrel @t132 @t56)) @t112)))) % 2.63/3.04 (define @t137 () (@list @t19 @t132 @t131)) % 2.63/3.04 (define @t138 () (forall @t137 (or (not (tptp.mrel @t1 @t132)) @t136 @t135 @t134))) % 2.63/3.04 (define @t139 () (not (tptp.mrel @t1 @t131))) % 2.63/3.04 (define @t140 () (forall @t58 (or (not (tptp.mrel @t1 @t56)) @t112))) % 2.63/3.04 (define @t141 () (not @t140)) % 2.63/3.04 (define @t142 () (or @t80 @t141 @t139 @t134)) % 2.63/3.04 (define @t143 () (forall (@list @t19 @t1 @t131) @t142)) % 2.63/3.04 (define @t144 () (lambda @t82 @t143)) % 2.63/3.04 (define @t145 () (or @t80 (_ @t144 @t1))) % 2.63/3.04 (define @t146 () (forall @t37 @t145)) % 2.63/3.04 (define @t147 () (lambda @t82 @t146)) % 2.63/3.04 (define @t148 () (@list @t1 @t131)) % 2.63/3.04 (define @t149 () (forall @t148 @t142)) % 2.63/3.04 (define @t150 () (tptp.big_r @t7 @t7 @t131)) % 2.63/3.04 (define @t151 () (forall @t148 (or @t114 @t141 @t139 @t150))) % 2.63/3.04 (define @t152 () (lambda @t11 @t151)) % 2.63/3.04 (define @t153 () (_ @t152 @t19 @t2)) % 2.63/3.04 (define @t154 () (forall @t44 @t153)) % 2.63/3.04 (define @t155 () (lambda @t82 @t154)) % 2.63/3.04 (define @t156 () (lambda @t46 (forall @t44 @t122))) % 2.63/3.04 (define @t157 () (or @t80 @t141 @t139 @t150)) % 2.63/3.04 (define @t158 () (or @t139 @t150)) % 2.63/3.04 (define @t159 () (or @t80 @t141 @t158)) % 2.63/3.04 (define @t160 () (forall @t148 @t159)) % 2.63/3.04 (define @t161 () (@list @t131)) % 2.63/3.04 (define @t162 () (forall @t161 @t159)) % 2.63/3.04 (define @t163 () (forall @t161 @t158)) % 2.63/3.04 (define @t164 () (@var "BOUND_VARIABLE_7867" tptp.mworld)) % 2.63/3.04 (define @t165 () (@list @t164)) % 2.63/3.04 (define @t166 () (or @t80 @t141 @t163)) % 2.63/3.04 (define @t167 () (tptp.big_r @t7 @t7 @t164)) % 2.63/3.04 (define @t168 () (@list @t164)) % 2.63/3.04 (define @t169 () (forall @t168 (or (not (tptp.mrel @t1 @t164)) @t167))) % 2.63/3.04 (define @t170 () (or @t80 @t141 @t169)) % 2.63/3.04 (define @t171 () (=> @t140 @t169)) % 2.63/3.04 (define @t172 () (or @t80 @t171)) % 2.63/3.04 (define @t173 () (tptp.big_r @t7 @t7 @t1)) % 2.63/3.04 (define @t174 () (forall @t37 (or @t80 @t173))) % 2.63/3.04 (define @t175 () (tptp.big_r @t9 @t9 @t1)) % 2.63/3.04 (define @t176 () (forall @t37 (or @t80 @t175))) % 2.63/3.04 (define @t177 () (=> @t176 @t174)) % 2.63/3.04 (define @t178 () (lambda @t82 @t177)) % 2.63/3.04 (define @t179 () (or @t80 (_ @t178 @t1))) % 2.63/3.04 (define @t180 () (forall @t37 @t179)) % 2.63/3.04 (define @t181 () (lambda @t82 @t180)) % 2.63/3.04 (define @t182 () (lambda @t82 @t174)) % 2.63/3.04 (define @t183 () (_ @t182 @t2)) % 2.63/3.04 (define @t184 () (=> @t176 @t183)) % 2.63/3.04 (define @t185 () (lambda @t82 @t184)) % 2.63/3.04 (define @t186 () (_ @t8 @t1)) % 2.63/3.04 (define @t187 () (or @t80 @t186)) % 2.63/3.04 (define @t188 () (_ @t8 @t1)) % 2.63/3.04 (define @t189 () (or @t80 @t188)) % 2.63/3.04 (define @t190 () (forall @t37 @t189)) % 2.63/3.04 (define @t191 () (lambda @t82 @t190)) % 2.63/3.04 (define @t192 () (_ @t106 @t8)) % 2.63/3.04 (define @t193 () (lambda @t82 @t176)) % 2.63/3.04 (define @t194 () (_ @t193 @t2)) % 2.63/3.04 (define @t195 () (=> @t194 @t30)) % 2.63/3.04 (define @t196 () (lambda @t111 @t195)) % 2.63/3.04 (define @t197 () (_ @t10 @t1)) % 2.63/3.04 (define @t198 () (or @t80 @t197)) % 2.63/3.04 (define @t199 () (_ @t10 @t1)) % 2.63/3.04 (define @t200 () (or @t80 @t199)) % 2.63/3.04 (define @t201 () (forall @t37 @t200)) % 2.63/3.04 (define @t202 () (lambda @t82 @t201)) % 2.63/3.04 (define @t203 () (_ @t106 @t10)) % 2.63/3.04 (define @t204 () (lambda @t11 (_ (_ @t106 (_ (_ @t34 @t203) @t192)) @t6))) % 2.63/3.04 (define @t205 () (lambda @t13 (_ (_ @t106 (_ @t156 @t204)) @t6))) % 2.63/3.04 (define @t206 () (lambda @t82 @t99)) % 2.63/3.04 (define @t207 () (_ @t206 @t2)) % 2.63/3.04 (define @t208 () (=> @t207 @t30)) % 2.63/3.04 (define @t209 () (lambda @t111 @t208)) % 2.63/3.04 (define @t210 () (or @t94 @t68 @t66)) % 2.63/3.04 (define @t211 () (or @t80 @t96 @t210)) % 2.63/3.04 (define @t212 () (forall @t98 @t211)) % 2.63/3.04 (define @t213 () (forall (@list @t72 @t67 @t65 @t64) @t211)) % 2.63/3.04 (define @t214 () (forall (@list @t67 @t65 @t64) @t210)) % 2.63/3.04 (define @t215 () (@var "BOUND_VARIABLE_7733" tptp.mworld)) % 2.63/3.04 (define @t216 () (@var "BOUND_VARIABLE_7731" $$unsorted)) % 2.63/3.04 (define @t217 () (@var "BOUND_VARIABLE_7756" tptp.mworld)) % 2.63/3.04 (define @t218 () (forall (@list @t72) @t96)) % 2.63/3.04 (define @t219 () (or @t80 @t218 @t214)) % 2.63/3.04 (define @t220 () (tptp.big_r @t216 @t216 @t215)) % 2.63/3.04 (define @t221 () (not (tptp.mrel @t217 @t215))) % 2.63/3.04 (define @t222 () (@list @t217 @t216 @t215)) % 2.63/3.04 (define @t223 () (forall @t222 (or (not (tptp.mrel @t1 @t217)) @t221 @t220))) % 2.63/3.04 (define @t224 () (tptp.big_r @t19 @t19 @t71)) % 2.63/3.04 (define @t225 () (forall @t44 (not (forall @t74 (or @t95 @t224))))) % 2.63/3.04 (define @t226 () (or @t80 @t225 @t223)) % 2.63/3.04 (define @t227 () (not @t225)) % 2.63/3.04 (define @t228 () (=> @t227 @t223)) % 2.63/3.04 (define @t229 () (or @t80 @t228)) % 2.63/3.04 (define @t230 () (not (tptp.mrel @t1 @t215))) % 2.63/3.04 (define @t231 () (or @t80 @t230 @t220)) % 2.63/3.04 (define @t232 () (@list @t1 @t216 @t215)) % 2.63/3.04 (define @t233 () (forall @t232 @t231)) % 2.63/3.04 (define @t234 () (tptp.big_r @t19 @t19 @t1)) % 2.63/3.04 (define @t235 () (or @t80 @t234)) % 2.63/3.04 (define @t236 () (forall @t37 @t235)) % 2.63/3.04 (define @t237 () (not @t236)) % 2.63/3.04 (define @t238 () (forall @t44 @t237)) % 2.63/3.04 (define @t239 () (not @t238)) % 2.63/3.04 (define @t240 () (=> @t239 @t233)) % 2.63/3.04 (define @t241 () (lambda @t82 @t240)) % 2.63/3.04 (define @t242 () (or @t80 (_ @t241 @t1))) % 2.63/3.04 (define @t243 () (forall @t37 @t242)) % 2.63/3.04 (define @t244 () (lambda @t82 @t243)) % 2.63/3.04 (define @t245 () (lambda @t82 @t233)) % 2.63/3.04 (define @t246 () (_ @t245 @t2)) % 2.63/3.04 (define @t247 () (=> @t239 @t246)) % 2.63/3.04 (define @t248 () (lambda @t82 @t247)) % 2.63/3.04 (define @t249 () (or @t230 @t220)) % 2.63/3.04 (define @t250 () (or @t80 @t249)) % 2.63/3.04 (define @t251 () (forall @t232 @t250)) % 2.63/3.04 (define @t252 () (@list @t216 @t215)) % 2.63/3.04 (define @t253 () (forall @t252 @t250)) % 2.63/3.04 (define @t254 () (forall @t252 @t249)) % 2.63/3.04 (define @t255 () (@var "BOUND_VARIABLE_7715" tptp.mworld)) % 2.63/3.04 (define @t256 () (or @t80 @t254)) % 2.63/3.04 (define @t257 () (tptp.big_r @t19 @t19 @t255)) % 2.63/3.04 (define @t258 () (@list @t19 @t255)) % 2.63/3.04 (define @t259 () (forall @t258 (or (not (tptp.mrel @t1 @t255)) @t257))) % 2.63/3.04 (define @t260 () (forall (@list @t19 @t1) @t235)) % 2.63/3.04 (define @t261 () (lambda @t82 @t260)) % 2.63/3.04 (define @t262 () (or @t80 (_ @t261 @t1))) % 2.63/3.04 (define @t263 () (forall @t37 @t262)) % 2.63/3.04 (define @t264 () (lambda @t82 @t263)) % 2.63/3.04 (define @t265 () (tptp.big_r @t15 @t15 @t1)) % 2.63/3.04 (define @t266 () (forall @t37 (or @t114 @t265))) % 2.63/3.04 (define @t267 () (lambda @t17 @t266)) % 2.63/3.04 (define @t268 () (_ @t267 @t19 @t2)) % 2.63/3.04 (define @t269 () (forall @t44 @t268)) % 2.63/3.04 (define @t270 () (lambda @t82 @t269)) % 2.63/3.04 (define @t271 () (_ @t16 @t1)) % 2.63/3.04 (define @t272 () (or @t80 @t271)) % 2.63/3.04 (define @t273 () (_ @t16 @t1)) % 2.63/3.04 (define @t274 () (or @t80 @t273)) % 2.63/3.04 (define @t275 () (forall @t37 @t274)) % 2.63/3.04 (define @t276 () (lambda @t82 @t275)) % 2.63/3.04 (define @t277 () (_ @t106 @t16)) % 2.63/3.04 (define @t278 () (lambda @t17 (_ @t277 @t6))) % 2.63/3.04 (define @t279 () (lambda @t82 @t239)) % 2.63/3.04 (define @t280 () (_ @t279 @t2)) % 2.63/3.04 (define @t281 () (=> @t280 @t30)) % 2.63/3.04 (define @t282 () (lambda @t111 @t281)) % 2.63/3.04 (define @t283 () (forall @t37 (or @t114 @t234))) % 2.63/3.04 (define @t284 () (lambda @t21 @t283)) % 2.63/3.04 (define @t285 () (_ @t284 @t19 @t2)) % 2.63/3.04 (define @t286 () (not @t285)) % 2.63/3.04 (define @t287 () (forall @t44 @t286)) % 2.63/3.04 (define @t288 () (not @t287)) % 2.63/3.04 (define @t289 () (lambda @t82 @t288)) % 2.63/3.04 (define @t290 () (_ @t20 @t1)) % 2.63/3.04 (define @t291 () (or @t80 @t290)) % 2.63/3.04 (define @t292 () (_ @t20 @t1)) % 2.63/3.04 (define @t293 () (or @t80 @t292)) % 2.63/3.04 (define @t294 () (forall @t37 @t293)) % 2.63/3.04 (define @t295 () (lambda @t82 @t294)) % 2.63/3.04 (define @t296 () (_ @t106 @t20)) % 2.63/3.04 (define @t297 () (lambda @t21 (_ @t296 @t6))) % 2.63/3.04 (define @t298 () (not @t3)) % 2.63/3.04 (define @t299 () (or @t298 @t36)) % 2.63/3.04 (define @t300 () (not @t43)) % 2.63/3.04 (define @t301 () (forall @t44 @t300)) % 2.63/3.04 (define @t302 () (not @t301)) % 2.63/3.04 (define @t303 () (@quantifiers_skolemize @t79 0)) % 2.63/3.04 (define @t304 () (not (tptp.mrel @t303 @t60))) % 2.63/3.04 (define @t305 () (forall @t44 (not (forall @t62 (or @t304 @t61 @t59 @t55 @t53))))) % 2.63/3.04 (define @t306 () (not @t305)) % 2.63/3.04 (define @t307 () (or (not (tptp.mrel tptp.mactual @t303)) (not (forall @t76 (or (not (tptp.mrel @t303 @t69)) @t75 @t70 @t68 @t66))) @t306)) % 2.63/3.04 (define @t308 () (@list true)) % 2.63/3.04 (define @t309 () (@const 0 $$unsorted)) % 2.63/3.04 (define @t310 () (tptp.big_r @t309 @t309 @t56)) % 2.63/3.04 (define @t311 () (forall @t62 (or @t304 @t61 (not (forall @t58 (or @t57 @t310))) @t55 @t53))) % 2.63/3.04 (define @t312 () (@quantifiers_skolemize @t311 1)) % 2.63/3.04 (define @t313 () (tptp.big_r @t312 @t312 @t56)) % 2.63/3.04 (define @t314 () (forall @t62 (or @t304 @t61 (not (forall @t58 (or @t57 @t313))) @t55 @t53))) % 2.63/3.04 (define @t315 () (@quantifiers_skolemize @t314 2)) % 2.63/3.04 (define @t316 () (forall @t58 (or (not (tptp.mrel @t315 @t56)) @t313))) % 2.63/3.04 (define @t317 () (@quantifiers_skolemize @t314 3)) % 2.63/3.04 (define @t318 () (@quantifiers_skolemize @t314 1)) % 2.63/3.04 (define @t319 () (not @t316)) % 2.63/3.04 (define @t320 () (@quantifiers_skolemize @t314 0)) % 2.63/3.04 (define @t321 () (or (not (tptp.mrel @t303 @t320)) (not (tptp.mrel @t320 @t315)) @t319 (not (tptp.mrel @t315 @t317)) (tptp.big_r @t318 @t318 @t317))) % 2.63/3.04 (define @t322 () (@quantifiers_skolemize @t311 3)) % 2.63/3.04 (define @t323 () (tptp.big_r @t312 @t312 @t322)) % 2.63/3.04 (define @t324 () (@quantifiers_skolemize @t311 2)) % 2.63/3.04 (define @t325 () (@quantifiers_skolemize @t311 0)) % 2.63/3.04 (define @t326 () (or (not (tptp.mrel @t303 @t325)) (not (tptp.mrel @t325 @t324)) (not (forall @t58 (or (not (tptp.mrel @t324 @t56)) @t310))) (not (tptp.mrel @t324 @t322)) @t323)) % 2.63/3.04 (define @t327 () (tptp.mrel @t315 @t322)) % 2.63/3.04 (define @t328 () (not @t327)) % 2.63/3.04 (define @t329 () (or @t328 @t323)) % 2.63/3.04 (define @t330 () (@list true false)) % 2.63/3.04 (define @t331 () (forall @t4 @t50)) % 2.63/3.04 (assume @p1 @t5) % 2.63/3.04 (assume @p2 @t23) % 2.63/3.04 (assume @p3 true) % 2.63/3.04 (step @p4 (= tptp.mlocal @t25) :rule refl :args (@t25)) % 2.63/3.04 (step @p5 (= tptp.mnot @t28) :rule refl :args (@t28)) % 2.63/3.04 (step @p6 (= tptp.mand @t32) :rule refl :args (@t32)) % 2.63/3.04 (step @p7 (= tptp.mor @t33) :rule refl :args (@t33)) % 2.63/3.04 (step @p8 (= tptp.mimplies @t34) :rule refl :args (@t34)) % 2.63/3.04 (step @p9 (= tptp.mequiv @t35) :rule refl :args (@t35)) % 2.63/3.04 (step @p10 (= tptp.mbox @t40) :rule refl :args (@t40)) % 2.63/3.04 (step @p11 (= tptp.mdia @t41) :rule refl :args (@t41)) % 2.63/3.04 (step @p12 (= tptp.mforall_di @t47) :rule refl :args (@t47)) % 2.63/3.04 (step @p13 (= tptp.mexists_di @t49) :rule refl :args (@t49)) % 2.63/3.04 (step @p14 :rule refl :args (@t50)) % 2.63/3.04 (step @p15 :rule refl :args (@t3)) % 2.63/3.04 (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t3 @t50))) % 2.63/3.04 (step @p17 :rule symm :premises (@p16)) % 2.63/3.04 (step @p18 :rule eq_resolve :premises (@p15 @p17)) % 2.63/3.04 (step @p19 :rule cong :premises (@p18) :args (@t5)) % 2.63/3.04 (step @p20 :rule eq_resolve :premises (@p1 @p19)) % 2.63/3.04 (step @p21 :rule beta-reduce :args ((= @t84 @t79))) % 2.63/3.04 (step @p22 :rule beta-reduce :args ((= (_ @t25 @t83) @t84))) % 2.63/3.04 (step @p23 :rule trans :premises (@p22 @p21)) % 2.63/3.04 (step @p24 :rule aci_norm :args ((= (or @t80 (or @t78 @t63)) @t81))) % 2.63/3.04 (step @p25 :rule bool-impl-elim :args (@t77 @t63)) % 2.63/3.04 (step @p26 :rule refl :args (@t80)) % 2.63/3.04 (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t86)) % 2.63/3.04 (step @p28 :rule trans :premises (@p27 @p24)) % 2.63/3.04 (step @p29 :rule cong :premises (@p28) :args ((forall @t37 @t86))) % 2.63/3.04 (step @p30 :rule beta-reduce :args ((= (_ (lambda @t82 (=> (forall @t76 (or (not (tptp.mrel @t2 @t69)) @t75 @t70 @t68 @t66)) (not (forall @t44 (not (forall @t62 (or (not (tptp.mrel @t2 @t60)) @t61 @t59 @t55 @t53))))))) @t1) @t85))) % 2.63/3.04 (step @p31 :rule refl :args (@t1)) % 2.63/3.04 (step @p32 :rule alpha_equiv :args (@t89 @t90 (@list @t60))) % 2.63/3.04 (step @p33 :rule cong :premises (@p32) :args (@t91)) % 2.63/3.04 (step @p34 :rule cong :premises (@p33) :args (@t92)) % 2.63/3.04 (step @p35 :rule cong :premises (@p34) :args (@t93)) % 2.63/3.04 (step @p36 :rule alpha_equiv :args (@t99 @t90 (@list @t69))) % 2.63/3.04 (step @p37 :rule cong :premises (@p36 @p35) :args (@t100)) % 2.63/3.04 (step @p38 :rule cong :premises (@p37) :args (@t101)) % 2.63/3.04 (step @p39 :rule ho_cong :premises (@p38 @p31)) % 2.63/3.04 (step @p40 :rule trans :premises (@p39 @p30)) % 2.63/3.04 (step @p41 :rule refl :args (@t80)) % 2.63/3.04 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t102)) % 2.63/3.04 (step @p43 :rule cong :premises (@p42) :args (@t103)) % 2.63/3.04 (step @p44 :rule trans :premises (@p43 @p29)) % 2.63/3.04 (step @p45 :rule cong :premises (@p44) :args (@t104)) % 2.63/3.04 (step @p46 :rule beta-reduce :args ((= (_ @t106 @t101) @t104))) % 2.63/3.04 (step @p47 :rule trans :premises (@p46 @p45)) % 2.63/3.04 (step @p48 :rule beta-reduce :args ((= @t108 @t93))) % 2.63/3.04 (step @p49 :rule refl :args (@t99)) % 2.63/3.04 (step @p50 :rule cong :premises (@p49 @p48) :args (@t109)) % 2.63/3.04 (step @p51 :rule cong :premises (@p50) :args (@t110)) % 2.63/3.04 (step @p52 :rule beta-reduce :args ((= (_ (lambda @t111 (=> @t99 @t30)) @t107) @t110))) % 2.63/3.04 (step @p53 :rule trans :premises (@p52 @p51)) % 2.63/3.04 (step @p54 :rule beta-reduce :args ((= @t117 @t89))) % 2.63/3.04 (step @p55 :rule cong :premises (@p54) :args (@t118)) % 2.63/3.04 (step @p56 :rule cong :premises (@p55) :args (@t119)) % 2.63/3.04 (step @p57 :rule cong :premises (@p56) :args (@t120)) % 2.63/3.04 (step @p58 :rule cong :premises (@p57) :args (@t121)) % 2.63/3.04 (step @p59 :rule beta-reduce :args ((= (_ @t123 @t116) @t121))) % 2.63/3.04 (step @p60 :rule trans :premises (@p59 @p58)) % 2.63/3.04 (step @p61 :rule beta-reduce :args ((= (_ (lambda @t82 (forall @t88 @t124)) @t6) @t115))) % 2.63/3.04 (step @p62 :rule refl :args (@t6)) % 2.63/3.04 (step @p63 :rule aci_norm :args ((= @t126 @t124))) % 2.63/3.04 (step @p64 :rule cong :premises (@p63) :args (@t127)) % 2.63/3.04 (step @p65 :rule quant-merge-prenex :args ((= (forall @t37 @t129) @t127))) % 2.63/3.04 (step @p66 :rule alpha_equiv :args (@t130 (@list @t52 @t54 @t51) (@list @t19 @t132 @t131))) % 2.63/3.04 (step @p67 :rule nary_cong :premises (@p26 @p66) :args (@t133)) % 2.63/3.04 (step @p68 :rule quant-miniscope-or :args ((= @t129 @t133))) % 2.63/3.04 (step @p69 :rule trans :premises (@p68 @p67)) % 2.63/3.04 (step @p70 :rule symm :premises (@p69)) % 2.63/3.04 (step @p71 :rule cong :premises (@p70) :args ((forall @t37 (or @t80 @t138)))) % 2.63/3.04 (step @p72 :rule trans :premises (@p71 @p65)) % 2.63/3.04 (step @p73 :rule trans :premises (@p72 @p64)) % 2.63/3.04 (step @p74 :rule beta-reduce :args ((= (_ (lambda @t82 (forall @t137 (or (not (tptp.mrel @t2 @t132)) @t136 @t135 @t134))) @t1) @t138))) % 2.63/3.04 (step @p75 :rule alpha_equiv :args (@t143 @t90 (@list @t132))) % 2.63/3.04 (step @p76 :rule cong :premises (@p75) :args (@t144)) % 2.63/3.04 (step @p77 :rule ho_cong :premises (@p76 @p31)) % 2.63/3.04 (step @p78 :rule trans :premises (@p77 @p74)) % 2.63/3.04 (step @p79 :rule nary_cong :premises (@p41 @p78) :args (@t145)) % 2.63/3.04 (step @p80 :rule cong :premises (@p79) :args (@t146)) % 2.63/3.04 (step @p81 :rule trans :premises (@p80 @p73)) % 2.63/3.04 (step @p82 :rule cong :premises (@p81) :args (@t147)) % 2.63/3.04 (step @p83 :rule beta-reduce :args ((= (_ @t106 @t144) @t147))) % 2.63/3.04 (step @p84 :rule trans :premises (@p83 @p82)) % 2.63/3.04 (step @p85 :rule quant-merge-prenex :args ((= (forall @t44 @t149) @t143))) % 2.63/3.04 (step @p86 :rule beta-reduce :args ((= @t153 @t149))) % 2.63/3.04 (step @p87 :rule cong :premises (@p86) :args (@t154)) % 2.63/3.04 (step @p88 :rule trans :premises (@p87 @p85)) % 2.63/3.04 (step @p89 :rule cong :premises (@p88) :args (@t155)) % 2.63/3.04 (step @p90 :rule beta-reduce :args ((= (_ @t156 @t152) @t155))) % 2.63/3.04 (step @p91 :rule trans :premises (@p90 @p89)) % 2.63/3.04 (step @p92 :rule beta-reduce :args ((= (_ (lambda @t82 (forall @t148 @t157)) @t6) @t151))) % 2.63/3.04 (step @p93 :rule aci_norm :args ((= @t159 @t157))) % 2.63/3.04 (step @p94 :rule cong :premises (@p93) :args (@t160)) % 2.63/3.04 (step @p95 :rule quant-merge-prenex :args ((= (forall @t37 @t162) @t160))) % 2.63/3.04 (step @p96 :rule alpha_equiv :args (@t163 (@list @t131) @t165)) % 2.63/3.04 (step @p97 :rule refl :args (@t141)) % 2.63/3.04 (step @p98 :rule nary_cong :premises (@p26 @p97 @p96) :args (@t166)) % 2.63/3.04 (step @p99 :rule quant-miniscope-or :args ((= @t162 @t166))) % 2.63/3.04 (step @p100 :rule trans :premises (@p99 @p98)) % 2.63/3.04 (step @p101 :rule symm :premises (@p100)) % 2.63/3.04 (step @p102 :rule cong :premises (@p101) :args ((forall @t37 @t170))) % 2.63/3.04 (step @p103 :rule trans :premises (@p102 @p95)) % 2.63/3.04 (step @p104 :rule trans :premises (@p103 @p94)) % 2.63/3.04 (step @p105 :rule aci_norm :args ((= (or @t80 (or @t141 @t169)) @t170))) % 2.63/3.04 (step @p106 :rule bool-impl-elim :args (@t140 @t169)) % 2.63/3.04 (step @p107 :rule nary_cong :premises (@p26 @p106) :args (@t172)) % 2.63/3.04 (step @p108 :rule trans :premises (@p107 @p105)) % 2.63/3.04 (step @p109 :rule cong :premises (@p108) :args ((forall @t37 @t172))) % 2.63/3.04 (step @p110 :rule trans :premises (@p109 @p104)) % 2.63/3.04 (step @p111 :rule beta-reduce :args ((= (_ (lambda @t82 (=> (forall @t58 (or (not (tptp.mrel @t2 @t56)) @t112)) (forall @t168 (or (not (tptp.mrel @t2 @t164)) @t167)))) @t1) @t171))) % 2.63/3.04 (step @p112 :rule alpha_equiv :args (@t174 @t90 @t165)) % 2.63/3.04 (step @p113 :rule alpha_equiv :args (@t176 @t90 (@list @t56))) % 2.63/3.04 (step @p114 :rule cong :premises (@p113 @p112) :args (@t177)) % 2.63/3.04 (step @p115 :rule cong :premises (@p114) :args (@t178)) % 2.63/3.04 (step @p116 :rule ho_cong :premises (@p115 @p31)) % 2.63/3.04 (step @p117 :rule trans :premises (@p116 @p111)) % 2.63/3.04 (step @p118 :rule nary_cong :premises (@p41 @p117) :args (@t179)) % 2.63/3.04 (step @p119 :rule cong :premises (@p118) :args (@t180)) % 2.63/3.04 (step @p120 :rule trans :premises (@p119 @p110)) % 2.63/3.04 (step @p121 :rule cong :premises (@p120) :args (@t181)) % 2.63/3.04 (step @p122 :rule beta-reduce :args ((= (_ @t106 @t178) @t181))) % 2.63/3.04 (step @p123 :rule trans :premises (@p122 @p121)) % 2.63/3.04 (step @p124 :rule beta-reduce :args ((= @t183 @t174))) % 2.63/3.04 (step @p125 :rule refl :args (@t176)) % 2.63/3.04 (step @p126 :rule cong :premises (@p125 @p124) :args (@t184)) % 2.63/3.04 (step @p127 :rule cong :premises (@p126) :args (@t185)) % 2.63/3.04 (step @p128 :rule beta-reduce :args ((= (_ (lambda @t111 (=> @t176 @t30)) @t182) @t185))) % 2.63/3.04 (step @p129 :rule trans :premises (@p128 @p127)) % 2.63/3.04 (step @p130 :rule refl :args (@t173)) % 2.63/3.04 (step @p131 :rule refl :args (@t186)) % 2.63/3.04 (step @p132 :rule cong :premises (@p131 @p130) :args ((= @t186 @t173))) % 2.63/3.04 (step @p133 :rule symm :premises (@p132)) % 2.63/3.04 (step @p134 :rule eq_resolve :premises (@p131 @p133)) % 2.63/3.04 (step @p135 :rule nary_cong :premises (@p26 @p134) :args (@t187)) % 2.63/3.04 (step @p136 :rule cong :premises (@p135) :args ((forall @t37 @t187))) % 2.63/3.04 (step @p137 :rule refl :args (@t188)) % 2.63/3.04 (step @p138 :rule nary_cong :premises (@p41 @p137) :args (@t189)) % 2.63/3.04 (step @p139 :rule cong :premises (@p138) :args (@t190)) % 2.63/3.04 (step @p140 :rule trans :premises (@p139 @p136)) % 2.63/3.04 (step @p141 :rule cong :premises (@p140) :args (@t191)) % 2.63/3.04 (step @p142 :rule beta-reduce :args ((= @t192 @t191))) % 2.63/3.04 (step @p143 :rule trans :premises (@p142 @p141)) % 2.63/3.04 (step @p144 :rule refl :args (@t30)) % 2.63/3.04 (step @p145 :rule beta-reduce :args ((= @t194 @t176))) % 2.63/3.04 (step @p146 :rule cong :premises (@p145 @p144) :args (@t195)) % 2.63/3.04 (step @p147 :rule cong :premises (@p146) :args (@t196)) % 2.63/3.04 (step @p148 :rule beta-reduce :args ((= (_ @t34 @t193) @t196))) % 2.63/3.04 (step @p149 :rule trans :premises (@p148 @p147)) % 2.63/3.04 (step @p150 :rule refl :args (@t175)) % 2.63/3.04 (step @p151 :rule refl :args (@t197)) % 2.63/3.04 (step @p152 :rule cong :premises (@p151 @p150) :args ((= @t197 @t175))) % 2.63/3.04 (step @p153 :rule symm :premises (@p152)) % 2.63/3.04 (step @p154 :rule eq_resolve :premises (@p151 @p153)) % 2.63/3.04 (step @p155 :rule nary_cong :premises (@p26 @p154) :args (@t198)) % 2.63/3.04 (step @p156 :rule cong :premises (@p155) :args ((forall @t37 @t198))) % 2.63/3.04 (step @p157 :rule refl :args (@t199)) % 2.63/3.04 (step @p158 :rule nary_cong :premises (@p41 @p157) :args (@t200)) % 2.63/3.04 (step @p159 :rule cong :premises (@p158) :args (@t201)) % 2.63/3.04 (step @p160 :rule trans :premises (@p159 @p156)) % 2.63/3.04 (step @p161 :rule cong :premises (@p160) :args (@t202)) % 2.63/3.04 (step @p162 :rule beta-reduce :args ((= @t203 @t202))) % 2.63/3.04 (step @p163 :rule trans :premises (@p162 @p161)) % 2.63/3.04 (step @p164 :rule refl :args (@t34)) % 2.63/3.04 (step @p165 :rule ho_cong :premises (@p164 @p163)) % 2.63/3.04 (step @p166 :rule trans :premises (@p165 @p149)) % 2.63/3.04 (step @p167 :rule ho_cong :premises (@p166 @p143)) % 2.63/3.04 (step @p168 :rule trans :premises (@p167 @p129)) % 2.63/3.04 (step @p169 :rule refl :args (@t106)) % 2.63/3.04 (step @p170 :rule ho_cong :premises (@p169 @p168)) % 2.63/3.04 (step @p171 :rule trans :premises (@p170 @p123)) % 2.63/3.04 (step @p172 :rule ho_cong :premises (@p171 @p62)) % 2.63/3.04 (step @p173 :rule trans :premises (@p172 @p92)) % 2.63/3.04 (step @p174 :rule cong :premises (@p173) :args (@t204)) % 2.63/3.04 (step @p175 :rule refl :args (@t156)) % 2.63/3.04 (step @p176 :rule ho_cong :premises (@p175 @p174)) % 2.63/3.04 (step @p177 :rule trans :premises (@p176 @p91)) % 2.63/3.04 (step @p178 :rule ho_cong :premises (@p169 @p177)) % 2.63/3.04 (step @p179 :rule trans :premises (@p178 @p84)) % 2.63/3.04 (step @p180 :rule ho_cong :premises (@p179 @p62)) % 2.63/3.04 (step @p181 :rule trans :premises (@p180 @p61)) % 2.63/3.04 (step @p182 :rule cong :premises (@p181) :args (@t205)) % 2.63/3.04 (step @p183 :rule refl :args (@t123)) % 2.63/3.04 (step @p184 :rule ho_cong :premises (@p183 @p182)) % 2.63/3.04 (step @p185 :rule trans :premises (@p184 @p60)) % 2.63/3.04 (step @p186 :rule beta-reduce :args ((= @t207 @t99))) % 2.63/3.04 (step @p187 :rule cong :premises (@p186 @p144) :args (@t208)) % 2.63/3.04 (step @p188 :rule cong :premises (@p187) :args (@t209)) % 2.63/3.04 (step @p189 :rule beta-reduce :args ((= (_ @t34 @t206) @t209))) % 2.63/3.04 (step @p190 :rule trans :premises (@p189 @p188)) % 2.63/3.04 (step @p191 :rule aci_norm :args ((= @t211 @t97))) % 2.63/3.04 (step @p192 :rule cong :premises (@p191) :args (@t212)) % 2.63/3.04 (step @p193 :rule quant-merge-prenex :args ((= (forall @t37 @t213) @t212))) % 2.63/3.04 (step @p194 :rule alpha_equiv :args (@t214 (@list @t67 @t65 @t64) (@list @t217 @t216 @t215))) % 2.63/3.04 (step @p195 :rule alpha_equiv :args (@t218 (@list @t72) (@list @t19))) % 2.63/3.04 (step @p196 :rule nary_cong :premises (@p26 @p195 @p194) :args (@t219)) % 2.63/3.04 (step @p197 :rule quant-miniscope-or :args ((= @t213 @t219))) % 2.63/3.04 (step @p198 :rule trans :premises (@p197 @p196)) % 2.63/3.04 (step @p199 :rule symm :premises (@p198)) % 2.63/3.04 (step @p200 :rule cong :premises (@p199) :args ((forall @t37 @t226))) % 2.63/3.04 (step @p201 :rule trans :premises (@p200 @p193)) % 2.63/3.04 (step @p202 :rule trans :premises (@p201 @p192)) % 2.63/3.04 (step @p203 :rule aci_norm :args ((= (or @t80 (or @t225 @t223)) @t226))) % 2.63/3.04 (step @p204 :rule refl :args (@t223)) % 2.63/3.04 (step @p205 :rule bool-double-not-elim :args (@t225)) % 2.63/3.04 (step @p206 :rule nary_cong :premises (@p205 @p204) :args ((or (not @t227) @t223))) % 2.63/3.04 (step @p207 :rule bool-impl-elim :args (@t227 @t223)) % 2.63/3.04 (step @p208 :rule trans :premises (@p207 @p206)) % 2.63/3.04 (step @p209 :rule nary_cong :premises (@p26 @p208) :args (@t229)) % 2.63/3.04 (step @p210 :rule trans :premises (@p209 @p203)) % 2.63/3.04 (step @p211 :rule cong :premises (@p210) :args ((forall @t37 @t229))) % 2.63/3.04 (step @p212 :rule trans :premises (@p211 @p202)) % 2.63/3.04 (step @p213 :rule beta-reduce :args ((= (_ (lambda @t82 (=> (not (forall @t44 (not (forall @t74 (or (not (tptp.mrel @t2 @t71)) @t224))))) (forall @t222 (or (not (tptp.mrel @t2 @t217)) @t221 @t220)))) @t1) @t228))) % 2.63/3.04 (step @p214 :rule alpha_equiv :args (@t233 @t90 (@list @t217))) % 2.63/3.04 (step @p215 :rule alpha_equiv :args (@t236 @t90 (@list @t71))) % 2.63/3.04 (step @p216 :rule cong :premises (@p215) :args (@t237)) % 2.63/3.04 (step @p217 :rule cong :premises (@p216) :args (@t238)) % 2.63/3.04 (step @p218 :rule cong :premises (@p217) :args (@t239)) % 2.63/3.04 (step @p219 :rule cong :premises (@p218 @p214) :args (@t240)) % 2.63/3.04 (step @p220 :rule cong :premises (@p219) :args (@t241)) % 2.63/3.04 (step @p221 :rule ho_cong :premises (@p220 @p31)) % 2.63/3.04 (step @p222 :rule trans :premises (@p221 @p213)) % 2.63/3.04 (step @p223 :rule nary_cong :premises (@p41 @p222) :args (@t242)) % 2.63/3.04 (step @p224 :rule cong :premises (@p223) :args (@t243)) % 2.63/3.04 (step @p225 :rule trans :premises (@p224 @p212)) % 2.63/3.04 (step @p226 :rule cong :premises (@p225) :args (@t244)) % 2.63/3.04 (step @p227 :rule beta-reduce :args ((= (_ @t106 @t241) @t244))) % 2.63/3.04 (step @p228 :rule trans :premises (@p227 @p226)) % 2.63/3.04 (step @p229 :rule beta-reduce :args ((= @t246 @t233))) % 2.63/3.04 (step @p230 :rule refl :args (@t239)) % 2.63/3.04 (step @p231 :rule cong :premises (@p230 @p229) :args (@t247)) % 2.63/3.04 (step @p232 :rule cong :premises (@p231) :args (@t248)) % 2.63/3.04 (step @p233 :rule beta-reduce :args ((= (_ (lambda @t111 (=> @t239 @t30)) @t245) @t248))) % 2.63/3.04 (step @p234 :rule trans :premises (@p233 @p232)) % 2.63/3.04 (step @p235 :rule aci_norm :args ((= @t250 @t231))) % 2.63/3.04 (step @p236 :rule cong :premises (@p235) :args (@t251)) % 2.63/3.04 (step @p237 :rule quant-merge-prenex :args ((= (forall @t37 @t253) @t251))) % 2.63/3.04 (step @p238 :rule alpha_equiv :args (@t254 (@list @t216 @t215) (@list @t19 @t255))) % 2.63/3.04 (step @p239 :rule nary_cong :premises (@p26 @p238) :args (@t256)) % 2.63/3.04 (step @p240 :rule quant-miniscope-or :args ((= @t253 @t256))) % 2.63/3.04 (step @p241 :rule trans :premises (@p240 @p239)) % 2.63/3.04 (step @p242 :rule symm :premises (@p241)) % 2.63/3.04 (step @p243 :rule cong :premises (@p242) :args ((forall @t37 (or @t80 @t259)))) % 2.63/3.04 (step @p244 :rule trans :premises (@p243 @p237)) % 2.63/3.04 (step @p245 :rule trans :premises (@p244 @p236)) % 2.63/3.04 (step @p246 :rule beta-reduce :args ((= (_ (lambda @t82 (forall @t258 (or (not (tptp.mrel @t2 @t255)) @t257))) @t1) @t259))) % 2.63/3.04 (step @p247 :rule alpha_equiv :args (@t260 @t90 (@list @t255))) % 2.63/3.04 (step @p248 :rule cong :premises (@p247) :args (@t261)) % 2.63/3.04 (step @p249 :rule ho_cong :premises (@p248 @p31)) % 2.63/3.04 (step @p250 :rule trans :premises (@p249 @p246)) % 2.63/3.04 (step @p251 :rule nary_cong :premises (@p41 @p250) :args (@t262)) % 2.63/3.04 (step @p252 :rule cong :premises (@p251) :args (@t263)) % 2.63/3.04 (step @p253 :rule trans :premises (@p252 @p245)) % 2.63/3.04 (step @p254 :rule cong :premises (@p253) :args (@t264)) % 2.63/3.04 (step @p255 :rule beta-reduce :args ((= (_ @t106 @t261) @t264))) % 2.63/3.04 (step @p256 :rule trans :premises (@p255 @p254)) % 2.63/3.04 (step @p257 :rule quant-merge-prenex :args ((= (forall @t44 @t236) @t260))) % 2.63/3.04 (step @p258 :rule beta-reduce :args ((= @t268 @t236))) % 2.63/3.04 (step @p259 :rule cong :premises (@p258) :args (@t269)) % 2.63/3.04 (step @p260 :rule trans :premises (@p259 @p257)) % 2.63/3.04 (step @p261 :rule cong :premises (@p260) :args (@t270)) % 2.63/3.04 (step @p262 :rule beta-reduce :args ((= (_ @t156 @t267) @t270))) % 2.63/3.04 (step @p263 :rule trans :premises (@p262 @p261)) % 2.63/3.04 (step @p264 :rule beta-reduce :args ((= (_ (lambda @t82 (forall @t37 (or @t80 @t265))) @t6) @t266))) % 2.63/3.04 (step @p265 :rule refl :args (@t265)) % 2.63/3.04 (step @p266 :rule refl :args (@t271)) % 2.63/3.04 (step @p267 :rule cong :premises (@p266 @p265) :args ((= @t271 @t265))) % 2.63/3.04 (step @p268 :rule symm :premises (@p267)) % 2.63/3.04 (step @p269 :rule eq_resolve :premises (@p266 @p268)) % 2.63/3.04 (step @p270 :rule nary_cong :premises (@p26 @p269) :args (@t272)) % 2.63/3.04 (step @p271 :rule cong :premises (@p270) :args ((forall @t37 @t272))) % 2.63/3.04 (step @p272 :rule refl :args (@t273)) % 2.63/3.04 (step @p273 :rule nary_cong :premises (@p41 @p272) :args (@t274)) % 2.63/3.04 (step @p274 :rule cong :premises (@p273) :args (@t275)) % 2.63/3.04 (step @p275 :rule trans :premises (@p274 @p271)) % 2.63/3.04 (step @p276 :rule cong :premises (@p275) :args (@t276)) % 2.63/3.04 (step @p277 :rule beta-reduce :args ((= @t277 @t276))) % 2.63/3.04 (step @p278 :rule trans :premises (@p277 @p276)) % 2.63/3.04 (step @p279 :rule ho_cong :premises (@p278 @p62)) % 2.63/3.04 (step @p280 :rule trans :premises (@p279 @p264)) % 2.63/3.04 (step @p281 :rule cong :premises (@p280) :args (@t278)) % 2.63/3.04 (step @p282 :rule ho_cong :premises (@p175 @p281)) % 2.63/3.04 (step @p283 :rule trans :premises (@p282 @p263)) % 2.63/3.04 (step @p284 :rule ho_cong :premises (@p169 @p283)) % 2.63/3.04 (step @p285 :rule trans :premises (@p284 @p256)) % 2.63/3.04 (step @p286 :rule beta-reduce :args ((= @t280 @t239))) % 2.63/3.04 (step @p287 :rule cong :premises (@p286 @p144) :args (@t281)) % 2.63/3.04 (step @p288 :rule cong :premises (@p287) :args (@t282)) % 2.63/3.04 (step @p289 :rule beta-reduce :args ((= (_ @t34 @t279) @t282))) % 2.63/3.04 (step @p290 :rule trans :premises (@p289 @p288)) % 2.63/3.04 (step @p291 :rule beta-reduce :args ((= @t285 @t236))) % 2.63/3.04 (step @p292 :rule cong :premises (@p291) :args (@t286)) % 2.63/3.04 (step @p293 :rule cong :premises (@p292) :args (@t287)) % 2.63/3.04 (step @p294 :rule cong :premises (@p293) :args (@t288)) % 2.63/3.04 (step @p295 :rule cong :premises (@p294) :args (@t289)) % 2.63/3.04 (step @p296 :rule beta-reduce :args ((= (_ @t123 @t284) @t289))) % 2.63/3.04 (step @p297 :rule trans :premises (@p296 @p295)) % 2.63/3.04 (step @p298 :rule beta-reduce :args ((= (_ (lambda @t82 @t236) @t6) @t283))) % 2.63/3.04 (step @p299 :rule refl :args (@t234)) % 2.63/3.04 (step @p300 :rule refl :args (@t290)) % 2.63/3.04 (step @p301 :rule cong :premises (@p300 @p299) :args ((= @t290 @t234))) % 2.63/3.04 (step @p302 :rule symm :premises (@p301)) % 2.63/3.04 (step @p303 :rule eq_resolve :premises (@p300 @p302)) % 2.63/3.04 (step @p304 :rule nary_cong :premises (@p26 @p303) :args (@t291)) % 2.63/3.04 (step @p305 :rule cong :premises (@p304) :args ((forall @t37 @t291))) % 2.63/3.04 (step @p306 :rule refl :args (@t292)) % 2.63/3.04 (step @p307 :rule nary_cong :premises (@p41 @p306) :args (@t293)) % 2.63/3.04 (step @p308 :rule cong :premises (@p307) :args (@t294)) % 2.63/3.04 (step @p309 :rule trans :premises (@p308 @p305)) % 2.63/3.04 (step @p310 :rule cong :premises (@p309) :args (@t295)) % 2.63/3.04 (step @p311 :rule beta-reduce :args ((= @t296 @t295))) % 2.63/3.04 (step @p312 :rule trans :premises (@p311 @p310)) % 2.63/3.04 (step @p313 :rule ho_cong :premises (@p312 @p62)) % 2.63/3.04 (step @p314 :rule trans :premises (@p313 @p298)) % 2.63/3.04 (step @p315 :rule cong :premises (@p314) :args (@t297)) % 2.63/3.04 (step @p316 :rule ho_cong :premises (@p183 @p315)) % 2.63/3.04 (step @p317 :rule trans :premises (@p316 @p297)) % 2.63/3.04 (step @p318 :rule ho_cong :premises (@p164 @p317)) % 2.63/3.04 (step @p319 :rule trans :premises (@p318 @p290)) % 2.63/3.04 (step @p320 :rule ho_cong :premises (@p319 @p285)) % 2.63/3.04 (step @p321 :rule trans :premises (@p320 @p234)) % 2.63/3.04 (step @p322 :rule ho_cong :premises (@p169 @p321)) % 2.63/3.04 (step @p323 :rule trans :premises (@p322 @p228)) % 2.63/3.04 (step @p324 :rule ho_cong :premises (@p164 @p323)) % 2.63/3.04 (step @p325 :rule trans :premises (@p324 @p190)) % 2.63/3.04 (step @p326 :rule ho_cong :premises (@p325 @p185)) % 2.63/3.04 (step @p327 :rule trans :premises (@p326 @p53)) % 2.63/3.04 (step @p328 :rule ho_cong :premises (@p169 @p327)) % 2.63/3.04 (step @p329 :rule trans :premises (@p328 @p47)) % 2.63/3.04 (step @p330 :rule refl :args (@t25)) % 2.63/3.04 (step @p331 :rule ho_cong :premises (@p330 @p329)) % 2.63/3.04 (step @p332 :rule trans :premises (@p331 @p23)) % 2.63/3.04 (step @p333 :rule cong :premises (@p332) :args ((not (_ @t25 (_ @t106 (_ (_ @t34 (_ @t106 (_ (_ @t34 (_ @t123 @t297)) (_ @t106 (_ @t156 @t278))))) (_ @t123 @t205))))))) % 2.63/3.04 (step @p334 :rule refl :args (@t8)) % 2.63/3.04 (step @p335 :rule refl :args (@t105)) % 2.63/3.04 (step @p336 :rule refl :args (@t36)) % 2.63/3.04 (step @p337 :rule cong :premises (@p336 @p335) :args ((= @t36 @t105))) % 2.63/3.04 (step @p338 :rule symm :premises (@p337)) % 2.63/3.04 (step @p339 :rule eq_resolve :premises (@p336 @p338)) % 2.63/3.04 (step @p340 :rule cong :premises (@p18) :args (@t298)) % 2.63/3.04 (step @p341 :rule nary_cong :premises (@p340 @p339) :args (@t299)) % 2.63/3.04 (step @p342 :rule cong :premises (@p341) :args ((forall @t37 @t299))) % 2.63/3.04 (step @p343 :rule bool-impl-elim :args (@t3 @t36)) % 2.63/3.04 (step @p344 :rule cong :premises (@p343) :args (@t38)) % 2.63/3.04 (step @p345 :rule trans :premises (@p344 @p342)) % 2.63/3.04 (step @p346 :rule cong :premises (@p345) :args (@t40)) % 2.63/3.04 (step @p347 :rule trans :premises (@p10 @p346)) % 2.63/3.04 (step @p348 :rule ho_cong :premises (@p347 @p334)) % 2.63/3.04 (step @p349 :rule refl :args (@t10)) % 2.63/3.04 (step @p350 :rule ho_cong :premises (@p347 @p349)) % 2.63/3.04 (step @p351 :rule ho_cong :premises (@p8 @p350)) % 2.63/3.04 (step @p352 :rule ho_cong :premises (@p351 @p348)) % 2.63/3.04 (step @p353 :rule ho_cong :premises (@p347 @p352)) % 2.63/3.04 (step @p354 :rule ho_cong :premises (@p353 @p62)) % 2.63/3.04 (step @p355 :rule cong :premises (@p354) :args (@t12)) % 2.63/3.04 (step @p356 :rule refl :args (@t122)) % 2.63/3.04 (step @p357 :rule refl :args (@t43)) % 2.63/3.04 (step @p358 :rule cong :premises (@p357 @p356) :args ((= @t43 @t122))) % 2.63/3.04 (step @p359 :rule symm :premises (@p358)) % 2.63/3.04 (step @p360 :rule eq_resolve :premises (@p357 @p359)) % 2.63/3.04 (step @p361 :rule cong :premises (@p360) :args (@t45)) % 2.63/3.04 (step @p362 :rule cong :premises (@p361) :args (@t47)) % 2.63/3.04 (step @p363 :rule trans :premises (@p12 @p362)) % 2.63/3.04 (step @p364 :rule ho_cong :premises (@p363 @p355)) % 2.63/3.04 (step @p365 :rule ho_cong :premises (@p347 @p364)) % 2.63/3.04 (step @p366 :rule ho_cong :premises (@p365 @p62)) % 2.63/3.04 (step @p367 :rule cong :premises (@p366) :args (@t14)) % 2.63/3.04 (step @p368 :rule cong :premises (@p360) :args (@t300)) % 2.63/3.04 (step @p369 :rule cong :premises (@p368) :args (@t301)) % 2.63/3.04 (step @p370 :rule cong :premises (@p369) :args (@t302)) % 2.63/3.04 (step @p371 :rule exists-elim :args ((= @t48 @t302))) % 2.63/3.04 (step @p372 :rule trans :premises (@p371 @p370)) % 2.63/3.04 (step @p373 :rule cong :premises (@p372) :args (@t49)) % 2.63/3.04 (step @p374 :rule trans :premises (@p13 @p373)) % 2.63/3.04 (step @p375 :rule ho_cong :premises (@p374 @p367)) % 2.63/3.04 (step @p376 :rule refl :args (@t16)) % 2.63/3.04 (step @p377 :rule ho_cong :premises (@p347 @p376)) % 2.63/3.04 (step @p378 :rule ho_cong :premises (@p377 @p62)) % 2.63/3.04 (step @p379 :rule cong :premises (@p378) :args (@t18)) % 2.63/3.04 (step @p380 :rule ho_cong :premises (@p363 @p379)) % 2.63/3.04 (step @p381 :rule ho_cong :premises (@p347 @p380)) % 2.63/3.04 (step @p382 :rule refl :args (@t20)) % 2.63/3.04 (step @p383 :rule ho_cong :premises (@p347 @p382)) % 2.63/3.04 (step @p384 :rule ho_cong :premises (@p383 @p62)) % 2.63/3.04 (step @p385 :rule cong :premises (@p384) :args (@t22)) % 2.63/3.04 (step @p386 :rule ho_cong :premises (@p374 @p385)) % 2.63/3.04 (step @p387 :rule ho_cong :premises (@p8 @p386)) % 2.63/3.04 (step @p388 :rule ho_cong :premises (@p387 @p381)) % 2.63/3.04 (step @p389 :rule ho_cong :premises (@p347 @p388)) % 2.63/3.04 (step @p390 :rule ho_cong :premises (@p8 @p389)) % 2.63/3.04 (step @p391 :rule ho_cong :premises (@p390 @p375)) % 2.63/3.04 (step @p392 :rule ho_cong :premises (@p347 @p391)) % 2.63/3.04 (step @p393 :rule ho_cong :premises (@p4 @p392)) % 2.63/3.04 (step @p394 :rule cong :premises (@p393) :args (@t23)) % 2.63/3.04 (step @p395 :rule trans :premises (@p394 @p333)) % 2.63/3.04 (step @p396 :rule eq_resolve :premises (@p2 @p395)) % 2.63/3.04 (step @p397 :rule skolemize :premises (@p396)) % 2.63/3.04 (step @p398 :rule bool-double-not-elim :args (@t305)) % 2.63/3.04 (step @p399 :rule refl :args (@t307)) % 2.63/3.04 (step @p400 :rule nary_cong :premises (@p399 @p398) :args ((or @t307 (not @t306)))) % 2.63/3.04 (step @p401 :rule cnf_or_neg :args (@t307 2)) % 2.63/3.04 (step @p402 :rule eq_resolve :premises (@p401 @p400)) % 2.63/3.04 (step @p403 :rule reordering :premises (@p402) :args ((or @t305 @t307))) % 2.63/3.04 (step @p404 :rule chain_m_resolution :premises (@p403 @p397) :args (@t305 @t308 (@list @t307))) % 2.63/3.04 (step @p405 :rule instantiate :premises (@p404) :args ((@list @t312))) % 2.63/3.04 (step @p406 :rule skolemize :premises (@p405)) % 2.63/3.04 (step @p407 :rule bool-double-not-elim :args (@t316)) % 2.63/3.04 (step @p408 :rule refl :args (@t321)) % 2.63/3.04 (step @p409 :rule nary_cong :premises (@p408 @p407) :args ((or @t321 (not @t319)))) % 2.63/3.04 (step @p410 :rule cnf_or_neg :args (@t321 2)) % 2.63/3.04 (step @p411 :rule eq_resolve :premises (@p410 @p409)) % 2.63/3.04 (step @p412 :rule reordering :premises (@p411) :args ((or @t316 @t321))) % 2.63/3.04 (step @p413 :rule chain_m_resolution :premises (@p412 @p406) :args (@t316 @t308 (@list @t321))) % 2.63/3.04 (step @p414 :rule instantiate :premises (@p413) :args ((@list @t322))) % 2.63/3.04 (step @p415 :rule instantiate :premises (@p404) :args ((@list @t309))) % 2.63/3.04 (step @p416 :rule skolemize :premises (@p415)) % 2.63/3.04 (step @p417 :rule cnf_or_neg :args (@t326 4)) % 2.63/3.04 (step @p418 :rule chain_m_resolution :premises (@p417 @p416) :args ((not @t323) @t308 (@list @t326))) % 2.63/3.04 (step @p419 :rule cnf_or_pos :args (@t329)) % 2.63/3.04 (step @p420 :rule reordering :premises (@p419) :args ((or @t323 @t328 (not @t329)))) % 2.63/3.04 (step @p421 :rule chain_m_resolution :premises (@p420 @p418 @p414) :args (@t328 @t330 (@list @t323 @t329))) % 2.63/3.04 (assume-push @p428 @t331) % 2.63/3.04 (step @p423 :rule instantiate :premises (@p20) :args ((@list @t315 @t322))) % 2.63/3.04 (step-pop @p429 :rule scope :premises (@p423)) % 2.63/3.04 (step @p424 :rule process_scope :premises (@p429) :args (@t327)) % 2.63/3.04 (step @p426 :rule implies_elim :premises (@p424)) % 2.63/3.04 (step @p427 false :rule chain_m_resolution :premises (@p426 @p421 @p20) :args (false @t330 (@list @t327 @t331))) % 2.63/3.04 ) % 2.63/3.04 % SZS output end Proof % 2.81/3.04 % cvc5 exiting %------------------------------------------------------------------------------