%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO889^16 : TPTP v9.2.1. 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 : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:13:42 AM UTC 2026 % Result : Theorem 0.37s 0.62s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO889^16 : TPTP v9.2.1. Released v8.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n006.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 01:08:49 EDT 2026 % 0.18/0.35 % CPUTime : % 0.26/0.51 %----Proving TH0 % 0.37/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.62 % SZS status Theorem % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (declare-sort tptp.mworld 0) % 0.37/0.62 (declare-const tptp.mactual tptp.mworld) % 0.37/0.62 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 0.37/0.62 (declare-const tptp.eiw_di (-> $$unsorted tptp.mworld Bool)) % 0.37/0.62 (declare-const tptp.a (-> $$unsorted tptp.mworld Bool)) % 0.37/0.62 (declare-const tptp.b (-> $$unsorted tptp.mworld Bool)) % 0.37/0.62 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 0.37/0.62 (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)))))) % 0.37/0.62 (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))))))) % 0.37/0.63 (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))))))) % 0.37/0.63 (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))))))) % 0.37/0.63 (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))))))) % 0.37/0.63 (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)))))))) % 0.37/0.63 (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)))))))) % 0.37/0.63 (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) (=> (_ (_ tptp.eiw_di _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.63 (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) (and (_ (_ tptp.eiw_di _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 0.37/0.63 (define @t1 () (@var "W" tptp.mworld)) % 0.37/0.63 (define @t2 () (_ tptp.mrel @t1)) % 0.37/0.63 (define @t3 () (@list @t1)) % 0.37/0.63 (define @t4 () (@var "U" tptp.mworld)) % 0.37/0.63 (define @t5 () (@var "V" tptp.mworld)) % 0.37/0.63 (define @t6 () (_ @t2 @t5)) % 0.37/0.63 (define @t7 () (@var "X" $$unsorted)) % 0.37/0.63 (define @t8 () (_ tptp.eiw_di @t7)) % 0.37/0.63 (define @t9 () (_ @t8 @t1)) % 0.37/0.63 (define @t10 () (@list @t7)) % 0.37/0.63 (define @t11 () (@var "__flatten_var_0" tptp.mworld)) % 0.37/0.63 (define @t12 () (_ tptp.b @t7)) % 0.37/0.63 (define @t13 () (_ tptp.a @t7)) % 0.37/0.63 (define @t14 () (@list @t7 @t11)) % 0.37/0.63 (define @t15 () (lambda @t14 (_ (_ tptp.mdia (_ (_ tptp.mand @t13) @t12)) @t11))) % 0.37/0.63 (define @t16 () (lambda @t14 (_ (_ tptp.mdia @t12) @t11))) % 0.37/0.63 (define @t17 () (lambda @t14 (_ (_ tptp.mbox @t13) @t11))) % 0.37/0.63 (define @t18 () (not (_ tptp.mlocal (_ (_ tptp.mimplies (_ (_ tptp.mand (_ tptp.mdia (_ tptp.mexists_di @t17))) (_ tptp.mbox (_ tptp.mforall_di @t16)))) (_ tptp.mdia (_ tptp.mexists_di @t15)))))) % 0.37/0.63 (define @t19 () (@var "Phi" (-> tptp.mworld Bool))) % 0.37/0.63 (define @t20 () (lambda (@list @t19) (_ @t19 tptp.mactual))) % 0.37/0.63 (define @t21 () (@var "A" (-> tptp.mworld Bool))) % 0.37/0.63 (define @t22 () (_ @t21 @t1)) % 0.37/0.63 (define @t23 () (lambda (@list @t21 @t1) (not @t22))) % 0.37/0.63 (define @t24 () (@var "B" (-> tptp.mworld Bool))) % 0.37/0.63 (define @t25 () (_ @t24 @t1)) % 0.37/0.63 (define @t26 () (@list @t21 @t24 @t1)) % 0.37/0.63 (define @t27 () (lambda @t26 (and @t22 @t25))) % 0.37/0.63 (define @t28 () (lambda @t26 (or @t22 @t25))) % 0.37/0.63 (define @t29 () (lambda @t26 (=> @t22 @t25))) % 0.37/0.63 (define @t30 () (lambda @t26 (= @t22 @t25))) % 0.37/0.63 (define @t31 () (_ @t19 @t5)) % 0.37/0.63 (define @t32 () (@list @t5)) % 0.37/0.63 (define @t33 () (forall @t32 (=> @t6 @t31))) % 0.37/0.63 (define @t34 () (@list @t19 @t1)) % 0.37/0.63 (define @t35 () (lambda @t34 @t33)) % 0.37/0.63 (define @t36 () (and @t6 @t31)) % 0.37/0.63 (define @t37 () (exists @t32 @t36)) % 0.37/0.63 (define @t38 () (lambda @t34 @t37)) % 0.37/0.63 (define @t39 () (@var "A" (-> $$unsorted tptp.mworld Bool))) % 0.37/0.63 (define @t40 () (_ (_ @t39 @t7) @t1)) % 0.37/0.63 (define @t41 () (forall @t10 (=> @t9 @t40))) % 0.37/0.63 (define @t42 () (@list @t39 @t1)) % 0.37/0.63 (define @t43 () (lambda @t42 @t41)) % 0.37/0.63 (define @t44 () (and @t9 @t40)) % 0.37/0.63 (define @t45 () (exists @t10 @t44)) % 0.37/0.63 (define @t46 () (lambda @t42 @t45)) % 0.37/0.63 (define @t47 () (@var "BOUND_VARIABLE_7933" tptp.mworld)) % 0.37/0.63 (define @t48 () (@var "BOUND_VARIABLE_7931" $$unsorted)) % 0.37/0.63 (define @t49 () (not (tptp.b @t48 @t47))) % 0.37/0.63 (define @t50 () (not (tptp.a @t48 @t47))) % 0.37/0.63 (define @t51 () (not (tptp.mrel @t5 @t47))) % 0.37/0.63 (define @t52 () (not (tptp.eiw_di @t48 @t5))) % 0.37/0.63 (define @t53 () (not (tptp.mrel tptp.mactual @t5))) % 0.37/0.63 (define @t54 () (@list @t5 @t48 @t47)) % 0.37/0.63 (define @t55 () (@var "BOUND_VARIABLE_7804" tptp.mworld)) % 0.37/0.63 (define @t56 () (@var "BOUND_VARIABLE_7827" $$unsorted)) % 0.37/0.63 (define @t57 () (not (tptp.mrel @t5 @t55))) % 0.37/0.63 (define @t58 () (@list @t55)) % 0.37/0.63 (define @t59 () (not (forall @t58 (or @t57 (not (tptp.b @t56 @t55)))))) % 0.37/0.63 (define @t60 () (not (tptp.eiw_di @t56 @t5))) % 0.37/0.63 (define @t61 () (@list @t5 @t56)) % 0.37/0.63 (define @t62 () (@var "BOUND_VARIABLE_7721" tptp.mworld)) % 0.37/0.63 (define @t63 () (@var "BOUND_VARIABLE_7747" $$unsorted)) % 0.37/0.63 (define @t64 () (not (tptp.mrel @t5 @t62))) % 0.37/0.63 (define @t65 () (@list @t62)) % 0.37/0.63 (define @t66 () (not (forall @t65 (or @t64 (tptp.a @t63 @t62))))) % 0.37/0.63 (define @t67 () (not (tptp.eiw_di @t63 @t5))) % 0.37/0.63 (define @t68 () (@list @t5 @t63)) % 0.37/0.63 (define @t69 () (forall @t68 (or @t53 @t67 @t66))) % 0.37/0.63 (define @t70 () (tptp.mrel @t1 @t5)) % 0.37/0.63 (define @t71 () (not @t70)) % 0.37/0.63 (define @t72 () (or @t71 @t52 @t51 @t50 @t49)) % 0.37/0.63 (define @t73 () (not (forall @t54 @t72))) % 0.37/0.63 (define @t74 () (or @t71 @t60 @t59)) % 0.37/0.63 (define @t75 () (forall @t61 @t74)) % 0.37/0.63 (define @t76 () (or @t71 @t67 @t66)) % 0.37/0.63 (define @t77 () (not (forall @t68 @t76))) % 0.37/0.63 (define @t78 () (and @t77 @t75)) % 0.37/0.63 (define @t79 () (lambda @t3 (=> @t78 @t73))) % 0.37/0.63 (define @t80 () (_ @t79 tptp.mactual)) % 0.37/0.63 (define @t81 () (lambda @t3 @t73)) % 0.37/0.63 (define @t82 () (_ @t81 @t1)) % 0.37/0.63 (define @t83 () (=> @t78 @t82)) % 0.37/0.63 (define @t84 () (lambda @t3 @t83)) % 0.37/0.63 (define @t85 () (@list @t24 @t1)) % 0.37/0.63 (define @t86 () (or @t52 @t51 @t50 @t49)) % 0.37/0.63 (define @t87 () (or @t71 @t86)) % 0.37/0.63 (define @t88 () (forall @t54 @t87)) % 0.37/0.63 (define @t89 () (@list @t48 @t47)) % 0.37/0.63 (define @t90 () (forall @t89 @t87)) % 0.37/0.63 (define @t91 () (forall @t89 @t86)) % 0.37/0.63 (define @t92 () (@var "BOUND_VARIABLE_7900" tptp.mworld)) % 0.37/0.63 (define @t93 () (or @t71 @t91)) % 0.37/0.63 (define @t94 () (not (tptp.b @t7 @t92))) % 0.37/0.63 (define @t95 () (not (tptp.a @t7 @t92))) % 0.37/0.63 (define @t96 () (not (tptp.eiw_di @t7 @t5))) % 0.37/0.63 (define @t97 () (@list @t7 @t92)) % 0.37/0.63 (define @t98 () (forall @t97 (or @t96 (not (tptp.mrel @t5 @t92)) @t95 @t94))) % 0.37/0.63 (define @t99 () (not (tptp.mrel @t1 @t92))) % 0.37/0.63 (define @t100 () (tptp.eiw_di @t7 @t1)) % 0.37/0.63 (define @t101 () (not @t100)) % 0.37/0.63 (define @t102 () (or @t101 @t99 @t95 @t94)) % 0.37/0.63 (define @t103 () (lambda @t3 (not (forall @t97 @t102)))) % 0.37/0.63 (define @t104 () (_ @t103 @t5)) % 0.37/0.63 (define @t105 () (not @t104)) % 0.37/0.63 (define @t106 () (or @t71 @t105)) % 0.37/0.63 (define @t107 () (forall @t32 @t106)) % 0.37/0.63 (define @t108 () (not @t107)) % 0.37/0.63 (define @t109 () (lambda @t3 @t108)) % 0.37/0.63 (define @t110 () (_ @t19 @t5)) % 0.37/0.63 (define @t111 () (lambda @t34 (not (forall @t32 (or @t71 (not @t110)))))) % 0.37/0.63 (define @t112 () (or @t99 @t95 @t94)) % 0.37/0.63 (define @t113 () (or @t101 @t112)) % 0.37/0.63 (define @t114 () (forall @t97 @t113)) % 0.37/0.63 (define @t115 () (@list @t92)) % 0.37/0.63 (define @t116 () (forall @t115 @t113)) % 0.37/0.63 (define @t117 () (forall @t115 @t112)) % 0.37/0.63 (define @t118 () (@list @t5)) % 0.37/0.63 (define @t119 () (or @t101 @t117)) % 0.37/0.63 (define @t120 () (tptp.b @t7 @t5)) % 0.37/0.63 (define @t121 () (not @t120)) % 0.37/0.63 (define @t122 () (tptp.a @t7 @t5)) % 0.37/0.63 (define @t123 () (not @t122)) % 0.37/0.63 (define @t124 () (forall @t32 (or @t71 @t123 @t121))) % 0.37/0.63 (define @t125 () (not @t124)) % 0.37/0.63 (define @t126 () (not (tptp.mrel @t11 @t5))) % 0.37/0.63 (define @t127 () (not (forall @t32 (or @t126 @t123 @t121)))) % 0.37/0.63 (define @t128 () (lambda @t14 @t127)) % 0.37/0.63 (define @t129 () (_ @t128 @t7 @t1)) % 0.37/0.63 (define @t130 () (not @t129)) % 0.37/0.63 (define @t131 () (or @t101 @t130)) % 0.37/0.63 (define @t132 () (forall @t10 @t131)) % 0.37/0.63 (define @t133 () (not @t132)) % 0.37/0.63 (define @t134 () (lambda @t3 @t133)) % 0.37/0.63 (define @t135 () (_ @t39 @t7 @t1)) % 0.37/0.63 (define @t136 () (lambda @t42 (not (forall @t10 (or @t101 (not @t135)))))) % 0.37/0.63 (define @t137 () (_ @t12 @t5)) % 0.37/0.63 (define @t138 () (not @t137)) % 0.37/0.63 (define @t139 () (_ @t13 @t5)) % 0.37/0.63 (define @t140 () (not @t139)) % 0.37/0.63 (define @t141 () (or @t71 @t140 @t138)) % 0.37/0.63 (define @t142 () (and @t139 @t137)) % 0.37/0.63 (define @t143 () (or @t71 (not @t142))) % 0.37/0.63 (define @t144 () (_ @t13 @t1)) % 0.37/0.63 (define @t145 () (lambda @t3 (and @t144 (_ @t12 @t1)))) % 0.37/0.63 (define @t146 () (_ @t145 @t5)) % 0.37/0.63 (define @t147 () (not @t146)) % 0.37/0.63 (define @t148 () (or @t71 @t147)) % 0.37/0.63 (define @t149 () (forall @t32 @t148)) % 0.37/0.63 (define @t150 () (not @t149)) % 0.37/0.63 (define @t151 () (lambda @t3 @t150)) % 0.37/0.63 (define @t152 () (lambda @t85 (and @t144 @t25))) % 0.37/0.63 (define @t153 () (_ @t27 @t13)) % 0.37/0.63 (define @t154 () (lambda @t14 (_ (_ @t111 (_ @t153 @t12)) @t11))) % 0.37/0.63 (define @t155 () (lambda @t3 @t78)) % 0.37/0.63 (define @t156 () (_ @t155 @t1)) % 0.37/0.63 (define @t157 () (=> @t156 @t25)) % 0.37/0.63 (define @t158 () (lambda @t85 @t157)) % 0.37/0.63 (define @t159 () (lambda @t3 @t75)) % 0.37/0.63 (define @t160 () (_ @t159 @t1)) % 0.37/0.63 (define @t161 () (and @t77 @t160)) % 0.37/0.63 (define @t162 () (lambda @t3 @t161)) % 0.37/0.63 (define @t163 () (or @t60 @t59)) % 0.37/0.63 (define @t164 () (or @t71 @t163)) % 0.37/0.63 (define @t165 () (forall @t61 @t164)) % 0.37/0.63 (define @t166 () (@list @t56)) % 0.37/0.63 (define @t167 () (forall @t166 @t164)) % 0.37/0.63 (define @t168 () (forall @t166 @t163)) % 0.37/0.63 (define @t169 () (@list @t7)) % 0.37/0.63 (define @t170 () (or @t71 @t168)) % 0.37/0.63 (define @t171 () (not (tptp.b @t7 @t55))) % 0.37/0.63 (define @t172 () (forall @t10 (or @t96 (not (forall @t58 (or @t57 @t171)))))) % 0.37/0.63 (define @t173 () (forall @t32 (or @t71 @t121))) % 0.37/0.63 (define @t174 () (not @t173)) % 0.37/0.63 (define @t175 () (or @t101 @t174)) % 0.37/0.63 (define @t176 () (forall @t10 @t175)) % 0.37/0.63 (define @t177 () (lambda @t3 @t176)) % 0.37/0.63 (define @t178 () (or @t71 (_ @t177 @t5))) % 0.37/0.63 (define @t179 () (forall @t32 @t178)) % 0.37/0.63 (define @t180 () (lambda @t3 @t179)) % 0.37/0.63 (define @t181 () (lambda @t34 (forall @t32 (or @t71 @t110)))) % 0.37/0.63 (define @t182 () (not (forall @t32 (or @t126 @t121)))) % 0.37/0.63 (define @t183 () (lambda @t14 @t182)) % 0.37/0.63 (define @t184 () (_ @t183 @t7 @t1)) % 0.37/0.63 (define @t185 () (or @t101 @t184)) % 0.37/0.63 (define @t186 () (forall @t10 @t185)) % 0.37/0.63 (define @t187 () (lambda @t3 @t186)) % 0.37/0.63 (define @t188 () (lambda @t42 (forall @t10 (or @t101 @t135)))) % 0.37/0.63 (define @t189 () (or @t71 @t138)) % 0.37/0.63 (define @t190 () (_ @t12 @t5)) % 0.37/0.63 (define @t191 () (not @t190)) % 0.37/0.63 (define @t192 () (or @t71 @t191)) % 0.37/0.63 (define @t193 () (forall @t32 @t192)) % 0.37/0.63 (define @t194 () (not @t193)) % 0.37/0.63 (define @t195 () (lambda @t3 @t194)) % 0.37/0.63 (define @t196 () (_ @t111 @t12)) % 0.37/0.63 (define @t197 () (lambda @t14 (_ @t196 @t11))) % 0.37/0.63 (define @t198 () (lambda @t3 @t77)) % 0.37/0.63 (define @t199 () (_ @t198 @t1)) % 0.37/0.63 (define @t200 () (and @t199 @t25)) % 0.37/0.63 (define @t201 () (lambda @t85 @t200)) % 0.37/0.63 (define @t202 () (or @t67 @t66)) % 0.37/0.63 (define @t203 () (or @t71 @t202)) % 0.37/0.63 (define @t204 () (forall @t68 @t203)) % 0.37/0.63 (define @t205 () (@list @t63)) % 0.37/0.63 (define @t206 () (forall @t205 @t203)) % 0.37/0.63 (define @t207 () (forall @t205 @t202)) % 0.37/0.63 (define @t208 () (or @t71 @t207)) % 0.37/0.63 (define @t209 () (tptp.a @t7 @t62)) % 0.37/0.63 (define @t210 () (forall @t10 (or @t96 (not (forall @t65 (or @t64 @t209)))))) % 0.37/0.63 (define @t211 () (forall @t32 (or @t71 @t122))) % 0.37/0.63 (define @t212 () (not @t211)) % 0.37/0.63 (define @t213 () (or @t101 @t212)) % 0.37/0.63 (define @t214 () (forall @t10 @t213)) % 0.37/0.63 (define @t215 () (not @t214)) % 0.37/0.63 (define @t216 () (lambda @t3 @t215)) % 0.37/0.63 (define @t217 () (not (_ @t216 @t5))) % 0.37/0.63 (define @t218 () (or @t71 @t217)) % 0.37/0.63 (define @t219 () (forall @t32 @t218)) % 0.37/0.63 (define @t220 () (not @t219)) % 0.37/0.63 (define @t221 () (lambda @t3 @t220)) % 0.37/0.63 (define @t222 () (forall @t32 (or @t126 @t122))) % 0.37/0.63 (define @t223 () (lambda @t14 @t222)) % 0.37/0.63 (define @t224 () (_ @t223 @t7 @t1)) % 0.37/0.63 (define @t225 () (not @t224)) % 0.37/0.63 (define @t226 () (or @t101 @t225)) % 0.37/0.63 (define @t227 () (forall @t10 @t226)) % 0.37/0.63 (define @t228 () (not @t227)) % 0.37/0.63 (define @t229 () (lambda @t3 @t228)) % 0.37/0.63 (define @t230 () (or @t71 @t139)) % 0.37/0.63 (define @t231 () (_ @t13 @t5)) % 0.37/0.63 (define @t232 () (or @t71 @t231)) % 0.37/0.63 (define @t233 () (forall @t32 @t232)) % 0.37/0.63 (define @t234 () (lambda @t3 @t233)) % 0.37/0.63 (define @t235 () (_ @t181 @t13)) % 0.37/0.63 (define @t236 () (lambda @t14 (_ @t235 @t11))) % 0.37/0.63 (define @t237 () (not @t31)) % 0.37/0.63 (define @t238 () (not @t6)) % 0.37/0.63 (define @t239 () (or @t238 @t237)) % 0.37/0.63 (define @t240 () (forall @t32 (not @t36))) % 0.37/0.63 (define @t241 () (not @t240)) % 0.37/0.63 (define @t242 () (not @t40)) % 0.37/0.63 (define @t243 () (not @t9)) % 0.37/0.63 (define @t244 () (or @t243 @t242)) % 0.37/0.63 (define @t245 () (forall @t10 (not @t44))) % 0.37/0.63 (define @t246 () (not @t245)) % 0.37/0.63 (define @t247 () (or @t243 @t40)) % 0.37/0.63 (define @t248 () (or @t238 @t31)) % 0.37/0.63 (define @t249 () (@quantifiers_skolemize @t69 1)) % 0.37/0.63 (define @t250 () (@quantifiers_skolemize @t69 0)) % 0.37/0.63 (define @t251 () (tptp.eiw_di @t249 @t250)) % 0.37/0.63 (define @t252 () (forall @t65 (or (not (tptp.mrel @t250 @t62)) (tptp.a @t249 @t62)))) % 0.37/0.63 (define @t253 () (not @t252)) % 0.37/0.63 (define @t254 () (not @t251)) % 0.37/0.63 (define @t255 () (tptp.mrel tptp.mactual @t250)) % 0.37/0.63 (define @t256 () (not @t255)) % 0.37/0.63 (define @t257 () (or @t256 @t254 @t253)) % 0.37/0.63 (define @t258 () (@list true)) % 0.37/0.63 (define @t259 () (@list @t257)) % 0.37/0.63 (define @t260 () (forall @t58 (or (not (tptp.mrel @t250 @t55)) (not (tptp.b @t249 @t55))))) % 0.37/0.63 (define @t261 () (not @t260)) % 0.37/0.63 (define @t262 () (or @t256 @t254 @t261)) % 0.37/0.63 (define @t263 () (@quantifiers_skolemize @t260 0)) % 0.37/0.63 (define @t264 () (tptp.mrel @t250 @t263)) % 0.37/0.63 (define @t265 () (tptp.b @t249 @t263)) % 0.37/0.63 (define @t266 () (not @t265)) % 0.37/0.63 (define @t267 () (not @t264)) % 0.37/0.63 (define @t268 () (or @t267 @t266)) % 0.37/0.63 (define @t269 () (@list @t268)) % 0.37/0.63 (define @t270 () (tptp.a @t249 @t263)) % 0.37/0.63 (define @t271 () (not @t270)) % 0.37/0.63 (define @t272 () (or @t256 @t254 @t267 @t271 @t266)) % 0.37/0.63 (define @t273 () (or @t267 @t270)) % 0.37/0.63 (assume @p1 (forall @t3 (_ @t2 @t1))) % 0.37/0.63 (assume @p2 (forall (@list @t1 @t5 @t4) (=> (and @t6 (_ (_ tptp.mrel @t5) @t4)) (_ @t2 @t4)))) % 0.37/0.63 (assume @p3 (forall @t3 (exists @t10 @t9))) % 0.37/0.63 (assume @p4 (forall (@list @t1 @t5 @t7) (=> (and @t9 @t6) (_ @t8 @t5)))) % 0.37/0.63 (assume @p5 @t18) % 0.37/0.63 (assume @p6 true) % 0.37/0.63 (step @p7 (= tptp.mlocal @t20) :rule refl :args (@t20)) % 0.37/0.63 (step @p8 (= tptp.mnot @t23) :rule refl :args (@t23)) % 0.37/0.63 (step @p9 (= tptp.mand @t27) :rule refl :args (@t27)) % 0.37/0.63 (step @p10 (= tptp.mor @t28) :rule refl :args (@t28)) % 0.37/0.63 (step @p11 (= tptp.mimplies @t29) :rule refl :args (@t29)) % 0.37/0.63 (step @p12 (= tptp.mequiv @t30) :rule refl :args (@t30)) % 0.37/0.63 (step @p13 (= tptp.mbox @t35) :rule refl :args (@t35)) % 0.37/0.63 (step @p14 (= tptp.mdia @t38) :rule refl :args (@t38)) % 0.37/0.63 (step @p15 (= tptp.mforall_di @t43) :rule refl :args (@t43)) % 0.37/0.63 (step @p16 (= tptp.mexists_di @t46) :rule refl :args (@t46)) % 0.37/0.63 (step @p17 :rule beta-reduce :args ((= @t80 (=> (and (not @t69) (forall @t61 (or @t53 @t60 @t59))) (not (forall @t54 (or @t53 @t52 @t51 @t50 @t49))))))) % 0.37/0.63 (step @p18 :rule beta-reduce :args ((= (_ @t20 @t79) @t80))) % 0.37/0.63 (step @p19 :rule trans :premises (@p18 @p17)) % 0.37/0.63 (step @p20 :rule beta-reduce :args ((= @t82 @t73))) % 0.37/0.63 (step @p21 :rule refl :args (@t78)) % 0.37/0.63 (step @p22 :rule cong :premises (@p21 @p20) :args (@t83)) % 0.37/0.63 (step @p23 :rule cong :premises (@p22) :args (@t84)) % 0.37/0.63 (step @p24 :rule beta-reduce :args ((= (_ (lambda @t85 (=> @t78 @t25)) @t81) @t84))) % 0.37/0.63 (step @p25 :rule trans :premises (@p24 @p23)) % 0.37/0.63 (step @p26 :rule aci_norm :args ((= @t87 @t72))) % 0.37/0.63 (step @p27 :rule cong :premises (@p26) :args (@t88)) % 0.37/0.63 (step @p28 :rule quant-merge-prenex :args ((= (forall @t32 @t90) @t88))) % 0.37/0.63 (step @p29 :rule alpha_equiv :args (@t91 (@list @t48 @t47) (@list @t7 @t92))) % 0.37/0.63 (step @p30 :rule refl :args (@t71)) % 0.37/0.63 (step @p31 :rule nary_cong :premises (@p30 @p29) :args (@t93)) % 0.37/0.63 (step @p32 :rule quant-miniscope-or :args ((= @t90 @t93))) % 0.37/0.63 (step @p33 :rule trans :premises (@p32 @p31)) % 0.37/0.63 (step @p34 :rule symm :premises (@p33)) % 0.37/0.63 (step @p35 :rule cong :premises (@p34) :args ((forall @t32 (or @t71 @t98)))) % 0.37/0.63 (step @p36 :rule trans :premises (@p35 @p28)) % 0.37/0.63 (step @p37 :rule trans :premises (@p36 @p27)) % 0.37/0.63 (step @p38 :rule bool-double-not-elim :args (@t98)) % 0.37/0.63 (step @p39 :rule beta-reduce :args ((= @t104 (not @t98)))) % 0.37/0.63 (step @p40 :rule cong :premises (@p39) :args (@t105)) % 0.37/0.63 (step @p41 :rule trans :premises (@p40 @p38)) % 0.37/0.63 (step @p42 :rule refl :args (@t71)) % 0.37/0.63 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t106)) % 0.37/0.63 (step @p44 :rule cong :premises (@p43) :args (@t107)) % 0.37/0.63 (step @p45 :rule trans :premises (@p44 @p37)) % 0.37/0.63 (step @p46 :rule cong :premises (@p45) :args (@t108)) % 0.37/0.63 (step @p47 :rule cong :premises (@p46) :args (@t109)) % 0.37/0.63 (step @p48 :rule beta-reduce :args ((= (_ @t111 @t103) @t109))) % 0.37/0.63 (step @p49 :rule trans :premises (@p48 @p47)) % 0.37/0.63 (step @p50 :rule aci_norm :args ((= @t113 @t102))) % 0.37/0.63 (step @p51 :rule cong :premises (@p50) :args (@t114)) % 0.37/0.63 (step @p52 :rule quant-merge-prenex :args ((= (forall @t10 @t116) @t114))) % 0.37/0.63 (step @p53 :rule alpha_equiv :args (@t117 (@list @t92) @t118)) % 0.37/0.63 (step @p54 :rule refl :args (@t101)) % 0.37/0.63 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t119)) % 0.37/0.63 (step @p56 :rule quant-miniscope-or :args ((= @t116 @t119))) % 0.37/0.63 (step @p57 :rule trans :premises (@p56 @p55)) % 0.37/0.63 (step @p58 :rule symm :premises (@p57)) % 0.37/0.63 (step @p59 :rule cong :premises (@p58) :args ((forall @t10 (or @t101 @t124)))) % 0.37/0.63 (step @p60 :rule trans :premises (@p59 @p52)) % 0.37/0.63 (step @p61 :rule trans :premises (@p60 @p51)) % 0.37/0.63 (step @p62 :rule bool-double-not-elim :args (@t124)) % 0.37/0.63 (step @p63 :rule beta-reduce :args ((= @t129 @t125))) % 0.37/0.63 (step @p64 :rule cong :premises (@p63) :args (@t130)) % 0.37/0.63 (step @p65 :rule trans :premises (@p64 @p62)) % 0.37/0.63 (step @p66 :rule refl :args (@t101)) % 0.37/0.63 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t131)) % 0.37/0.63 (step @p68 :rule cong :premises (@p67) :args (@t132)) % 0.37/0.63 (step @p69 :rule trans :premises (@p68 @p61)) % 0.37/0.63 (step @p70 :rule cong :premises (@p69) :args (@t133)) % 0.37/0.63 (step @p71 :rule cong :premises (@p70) :args (@t134)) % 0.37/0.63 (step @p72 :rule beta-reduce :args ((= (_ @t136 @t128) @t134))) % 0.37/0.63 (step @p73 :rule trans :premises (@p72 @p71)) % 0.37/0.63 (step @p74 :rule beta-reduce :args ((= (_ (lambda @t3 @t125) @t11) @t127))) % 0.37/0.63 (step @p75 :rule refl :args (@t11)) % 0.37/0.63 (step @p76 :rule refl :args (@t120)) % 0.37/0.63 (step @p77 :rule refl :args (@t137)) % 0.37/0.63 (step @p78 :rule cong :premises (@p77 @p76) :args ((= @t137 @t120))) % 0.37/0.63 (step @p79 :rule symm :premises (@p78)) % 0.37/0.63 (step @p80 :rule eq_resolve :premises (@p77 @p79)) % 0.37/0.63 (step @p81 :rule cong :premises (@p80) :args (@t138)) % 0.37/0.63 (step @p82 :rule refl :args (@t122)) % 0.37/0.63 (step @p83 :rule refl :args (@t139)) % 0.37/0.63 (step @p84 :rule cong :premises (@p83 @p82) :args ((= @t139 @t122))) % 0.37/0.63 (step @p85 :rule symm :premises (@p84)) % 0.37/0.63 (step @p86 :rule eq_resolve :premises (@p83 @p85)) % 0.37/0.63 (step @p87 :rule cong :premises (@p86) :args (@t140)) % 0.37/0.63 (step @p88 :rule nary_cong :premises (@p30 @p87 @p81) :args (@t141)) % 0.37/0.63 (step @p89 :rule cong :premises (@p88) :args ((forall @t32 @t141))) % 0.37/0.63 (step @p90 :rule aci_norm :args ((= (or @t71 (or @t140 @t138)) @t141))) % 0.37/0.63 (step @p91 :rule bool-and-de-morgan :args (@t139 @t137 true)) % 0.37/0.63 (step @p92 :rule nary_cong :premises (@p30 @p91) :args (@t143)) % 0.37/0.63 (step @p93 :rule trans :premises (@p92 @p90)) % 0.37/0.63 (step @p94 :rule cong :premises (@p93) :args ((forall @t32 @t143))) % 0.37/0.63 (step @p95 :rule trans :premises (@p94 @p89)) % 0.37/0.63 (step @p96 :rule beta-reduce :args ((= @t146 @t142))) % 0.37/0.63 (step @p97 :rule cong :premises (@p96) :args (@t147)) % 0.37/0.63 (step @p98 :rule nary_cong :premises (@p42 @p97) :args (@t148)) % 0.37/0.63 (step @p99 :rule cong :premises (@p98) :args (@t149)) % 0.37/0.63 (step @p100 :rule trans :premises (@p99 @p95)) % 0.37/0.63 (step @p101 :rule cong :premises (@p100) :args (@t150)) % 0.37/0.63 (step @p102 :rule cong :premises (@p101) :args (@t151)) % 0.37/0.63 (step @p103 :rule beta-reduce :args ((= (_ @t111 @t145) @t151))) % 0.37/0.63 (step @p104 :rule trans :premises (@p103 @p102)) % 0.37/0.63 (step @p105 :rule beta-reduce :args ((= (_ @t152 @t12) @t145))) % 0.37/0.63 (step @p106 :rule refl :args (@t12)) % 0.37/0.63 (step @p107 :rule beta-reduce :args ((= @t153 @t152))) % 0.37/0.63 (step @p108 :rule ho_cong :premises (@p107 @p106)) % 0.37/0.63 (step @p109 :rule trans :premises (@p108 @p105)) % 0.37/0.63 (step @p110 :rule refl :args (@t111)) % 0.37/0.63 (step @p111 :rule ho_cong :premises (@p110 @p109)) % 0.37/0.63 (step @p112 :rule trans :premises (@p111 @p104)) % 0.37/0.63 (step @p113 :rule ho_cong :premises (@p112 @p75)) % 0.37/0.63 (step @p114 :rule trans :premises (@p113 @p74)) % 0.37/0.63 (step @p115 :rule cong :premises (@p114) :args (@t154)) % 0.37/0.63 (step @p116 :rule refl :args (@t136)) % 0.37/0.63 (step @p117 :rule ho_cong :premises (@p116 @p115)) % 0.37/0.63 (step @p118 :rule trans :premises (@p117 @p73)) % 0.37/0.63 (step @p119 :rule ho_cong :premises (@p110 @p118)) % 0.37/0.63 (step @p120 :rule trans :premises (@p119 @p49)) % 0.37/0.63 (step @p121 :rule refl :args (@t25)) % 0.37/0.63 (step @p122 :rule beta-reduce :args ((= @t156 @t78))) % 0.37/0.63 (step @p123 :rule cong :premises (@p122 @p121) :args (@t157)) % 0.37/0.63 (step @p124 :rule cong :premises (@p123) :args (@t158)) % 0.37/0.63 (step @p125 :rule beta-reduce :args ((= (_ @t29 @t155) @t158))) % 0.37/0.63 (step @p126 :rule trans :premises (@p125 @p124)) % 0.37/0.63 (step @p127 :rule beta-reduce :args ((= @t160 @t75))) % 0.37/0.63 (step @p128 :rule refl :args (@t77)) % 0.37/0.63 (step @p129 :rule nary_cong :premises (@p128 @p127) :args (@t161)) % 0.37/0.63 (step @p130 :rule cong :premises (@p129) :args (@t162)) % 0.37/0.63 (step @p131 :rule beta-reduce :args ((= (_ (lambda @t85 (and @t77 @t25)) @t159) @t162))) % 0.37/0.63 (step @p132 :rule trans :premises (@p131 @p130)) % 0.37/0.63 (step @p133 :rule aci_norm :args ((= @t164 @t74))) % 0.37/0.63 (step @p134 :rule cong :premises (@p133) :args (@t165)) % 0.37/0.63 (step @p135 :rule quant-merge-prenex :args ((= (forall @t32 @t167) @t165))) % 0.37/0.63 (step @p136 :rule alpha_equiv :args (@t168 (@list @t56) @t169)) % 0.37/0.63 (step @p137 :rule nary_cong :premises (@p30 @p136) :args (@t170)) % 0.37/0.63 (step @p138 :rule quant-miniscope-or :args ((= @t167 @t170))) % 0.37/0.63 (step @p139 :rule trans :premises (@p138 @p137)) % 0.37/0.63 (step @p140 :rule symm :premises (@p139)) % 0.37/0.63 (step @p141 :rule cong :premises (@p140) :args ((forall @t32 (or @t71 @t172)))) % 0.37/0.63 (step @p142 :rule trans :premises (@p141 @p135)) % 0.37/0.63 (step @p143 :rule trans :premises (@p142 @p134)) % 0.37/0.63 (step @p144 :rule beta-reduce :args ((= (_ (lambda @t3 (forall @t10 (or @t101 (not (forall @t58 (or (not (tptp.mrel @t1 @t55)) @t171)))))) @t5) @t172))) % 0.37/0.63 (step @p145 :rule refl :args (@t5)) % 0.37/0.63 (step @p146 :rule alpha_equiv :args (@t173 @t118 (@list @t55))) % 0.37/0.63 (step @p147 :rule cong :premises (@p146) :args (@t174)) % 0.37/0.63 (step @p148 :rule nary_cong :premises (@p54 @p147) :args (@t175)) % 0.37/0.63 (step @p149 :rule cong :premises (@p148) :args (@t176)) % 0.37/0.63 (step @p150 :rule cong :premises (@p149) :args (@t177)) % 0.37/0.63 (step @p151 :rule ho_cong :premises (@p150 @p145)) % 0.37/0.63 (step @p152 :rule trans :premises (@p151 @p144)) % 0.37/0.63 (step @p153 :rule nary_cong :premises (@p42 @p152) :args (@t178)) % 0.37/0.63 (step @p154 :rule cong :premises (@p153) :args (@t179)) % 0.37/0.63 (step @p155 :rule trans :premises (@p154 @p143)) % 0.37/0.63 (step @p156 :rule cong :premises (@p155) :args (@t180)) % 0.37/0.63 (step @p157 :rule beta-reduce :args ((= (_ @t181 @t177) @t180))) % 0.37/0.63 (step @p158 :rule trans :premises (@p157 @p156)) % 0.37/0.63 (step @p159 :rule beta-reduce :args ((= @t184 @t174))) % 0.37/0.63 (step @p160 :rule nary_cong :premises (@p66 @p159) :args (@t185)) % 0.37/0.63 (step @p161 :rule cong :premises (@p160) :args (@t186)) % 0.37/0.63 (step @p162 :rule cong :premises (@p161) :args (@t187)) % 0.37/0.63 (step @p163 :rule beta-reduce :args ((= (_ @t188 @t183) @t187))) % 0.37/0.63 (step @p164 :rule trans :premises (@p163 @p162)) % 0.37/0.63 (step @p165 :rule beta-reduce :args ((= (_ (lambda @t3 @t174) @t11) @t182))) % 0.37/0.63 (step @p166 :rule nary_cong :premises (@p30 @p81) :args (@t189)) % 0.37/0.63 (step @p167 :rule cong :premises (@p166) :args ((forall @t32 @t189))) % 0.37/0.63 (step @p168 :rule refl :args (@t190)) % 0.37/0.63 (step @p169 :rule cong :premises (@p168) :args (@t191)) % 0.37/0.63 (step @p170 :rule nary_cong :premises (@p42 @p169) :args (@t192)) % 0.37/0.63 (step @p171 :rule cong :premises (@p170) :args (@t193)) % 0.37/0.63 (step @p172 :rule trans :premises (@p171 @p167)) % 0.37/0.63 (step @p173 :rule cong :premises (@p172) :args (@t194)) % 0.37/0.63 (step @p174 :rule cong :premises (@p173) :args (@t195)) % 0.37/0.63 (step @p175 :rule beta-reduce :args ((= @t196 @t195))) % 0.37/0.63 (step @p176 :rule trans :premises (@p175 @p174)) % 0.37/0.63 (step @p177 :rule ho_cong :premises (@p176 @p75)) % 0.37/0.63 (step @p178 :rule trans :premises (@p177 @p165)) % 0.37/0.63 (step @p179 :rule cong :premises (@p178) :args (@t197)) % 0.37/0.63 (step @p180 :rule refl :args (@t188)) % 0.37/0.63 (step @p181 :rule ho_cong :premises (@p180 @p179)) % 0.37/0.63 (step @p182 :rule trans :premises (@p181 @p164)) % 0.37/0.63 (step @p183 :rule refl :args (@t181)) % 0.37/0.63 (step @p184 :rule ho_cong :premises (@p183 @p182)) % 0.37/0.63 (step @p185 :rule trans :premises (@p184 @p158)) % 0.37/0.63 (step @p186 :rule beta-reduce :args ((= @t199 @t77))) % 0.37/0.63 (step @p187 :rule nary_cong :premises (@p186 @p121) :args (@t200)) % 0.37/0.63 (step @p188 :rule cong :premises (@p187) :args (@t201)) % 0.37/0.63 (step @p189 :rule beta-reduce :args ((= (_ @t27 @t198) @t201))) % 0.37/0.63 (step @p190 :rule trans :premises (@p189 @p188)) % 0.37/0.63 (step @p191 :rule aci_norm :args ((= @t203 @t76))) % 0.37/0.63 (step @p192 :rule cong :premises (@p191) :args (@t204)) % 0.37/0.63 (step @p193 :rule quant-merge-prenex :args ((= (forall 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(step @p221 :rule beta-reduce :args ((= @t224 @t211))) % 0.37/0.63 (step @p222 :rule cong :premises (@p221) :args (@t225)) % 0.37/0.63 (step @p223 :rule nary_cong :premises (@p66 @p222) :args (@t226)) % 0.37/0.63 (step @p224 :rule cong :premises (@p223) :args (@t227)) % 0.37/0.63 (step @p225 :rule cong :premises (@p224) :args (@t228)) % 0.37/0.63 (step @p226 :rule cong :premises (@p225) :args (@t229)) % 0.37/0.63 (step @p227 :rule beta-reduce :args ((= (_ @t136 @t223) @t229))) % 0.37/0.63 (step @p228 :rule trans :premises (@p227 @p226)) % 0.37/0.63 (step @p229 :rule beta-reduce :args ((= (_ (lambda @t3 @t211) @t11) @t222))) % 0.37/0.63 (step @p230 :rule nary_cong :premises (@p30 @p86) :args (@t230)) % 0.37/0.63 (step @p231 :rule cong :premises (@p230) :args ((forall @t32 @t230))) % 0.37/0.63 (step @p232 :rule refl :args (@t231)) % 0.37/0.63 (step @p233 :rule nary_cong :premises (@p42 @p232) :args (@t232)) % 0.37/0.63 (step @p234 :rule cong :premises (@p233) :args (@t233)) % 0.37/0.63 (step @p235 :rule trans :premises (@p234 @p231)) % 0.37/0.63 (step @p236 :rule cong :premises (@p235) :args (@t234)) % 0.37/0.63 (step @p237 :rule beta-reduce :args ((= @t235 @t234))) % 0.37/0.63 (step @p238 :rule trans :premises (@p237 @p236)) % 0.37/0.63 (step @p239 :rule ho_cong :premises (@p238 @p75)) % 0.37/0.63 (step @p240 :rule trans :premises (@p239 @p229)) % 0.37/0.63 (step @p241 :rule cong :premises (@p240) :args (@t236)) % 0.37/0.63 (step @p242 :rule ho_cong :premises (@p116 @p241)) % 0.37/0.63 (step @p243 :rule trans :premises (@p242 @p228)) % 0.37/0.63 (step @p244 :rule ho_cong :premises (@p110 @p243)) % 0.37/0.63 (step @p245 :rule trans :premises (@p244 @p220)) % 0.37/0.63 (step @p246 :rule refl :args (@t27)) % 0.37/0.63 (step @p247 :rule ho_cong :premises (@p246 @p245)) % 0.37/0.63 (step @p248 :rule trans :premises (@p247 @p190)) % 0.37/0.63 (step @p249 :rule ho_cong :premises (@p248 @p185)) % 0.37/0.63 (step @p250 :rule trans :premises (@p249 @p132)) % 0.37/0.63 (step 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(step @p266 :rule symm :premises (@p265)) % 0.37/0.63 (step @p267 :rule eq_resolve :premises (@p264 @p266)) % 0.37/0.63 (step @p268 :rule cong :premises (@p267) :args (@t237)) % 0.37/0.63 (step @p269 :rule refl :args (@t70)) % 0.37/0.63 (step @p270 :rule refl :args (@t6)) % 0.37/0.63 (step @p271 :rule cong :premises (@p270 @p269) :args ((= @t6 @t70))) % 0.37/0.63 (step @p272 :rule symm :premises (@p271)) % 0.37/0.63 (step @p273 :rule eq_resolve :premises (@p270 @p272)) % 0.37/0.63 (step @p274 :rule cong :premises (@p273) :args (@t238)) % 0.37/0.63 (step @p275 :rule nary_cong :premises (@p274 @p268) :args (@t239)) % 0.37/0.63 (step @p276 :rule cong :premises (@p275) :args ((forall @t32 @t239))) % 0.37/0.63 (step @p277 :rule bool-and-de-morgan :args (@t6 @t31 true)) % 0.37/0.63 (step @p278 :rule cong :premises (@p277) :args (@t240)) % 0.37/0.63 (step @p279 :rule trans :premises (@p278 @p276)) % 0.37/0.63 (step @p280 :rule cong :premises (@p279) :args (@t241)) % 0.37/0.63 (step @p281 :rule exists-elim :args ((= @t37 @t241))) % 0.37/0.63 (step @p282 :rule trans :premises (@p281 @p280)) % 0.37/0.63 (step @p283 :rule cong :premises (@p282) :args (@t38)) % 0.37/0.63 (step @p284 :rule trans :premises (@p14 @p283)) % 0.37/0.63 (step @p285 :rule ho_cong :premises (@p284 @p262)) % 0.37/0.63 (step @p286 :rule ho_cong :premises (@p285 @p75)) % 0.37/0.63 (step @p287 :rule cong :premises (@p286) :args (@t15)) % 0.37/0.63 (step @p288 :rule refl :args (@t135)) % 0.37/0.63 (step @p289 :rule refl :args (@t40)) % 0.37/0.63 (step @p290 :rule cong :premises (@p289 @p288) :args ((= @t40 @t135))) % 0.37/0.63 (step @p291 :rule symm :premises (@p290)) % 0.37/0.63 (step @p292 :rule eq_resolve :premises (@p289 @p291)) % 0.37/0.63 (step @p293 :rule cong :premises (@p292) :args (@t242)) % 0.37/0.63 (step @p294 :rule refl :args (@t100)) % 0.37/0.63 (step @p295 :rule refl :args (@t9)) % 0.37/0.63 (step @p296 :rule cong :premises (@p295 @p294) :args ((= @t9 @t100))) % 0.37/0.63 (step @p297 :rule symm :premises (@p296)) % 0.37/0.63 (step @p298 :rule eq_resolve :premises (@p295 @p297)) % 0.37/0.63 (step @p299 :rule cong :premises (@p298) :args (@t243)) % 0.37/0.63 (step @p300 :rule nary_cong :premises (@p299 @p293) :args (@t244)) % 0.37/0.63 (step @p301 :rule cong :premises (@p300) :args ((forall @t10 @t244))) % 0.37/0.63 (step @p302 :rule bool-and-de-morgan :args (@t9 @t40 true)) % 0.37/0.63 (step @p303 :rule cong :premises (@p302) :args (@t245)) % 0.37/0.63 (step @p304 :rule trans :premises (@p303 @p301)) % 0.37/0.63 (step @p305 :rule cong :premises (@p304) :args (@t246)) % 0.37/0.63 (step @p306 :rule exists-elim :args ((= @t45 @t246))) % 0.37/0.63 (step @p307 :rule trans :premises (@p306 @p305)) % 0.37/0.63 (step @p308 :rule cong :premises (@p307) :args (@t46)) % 0.37/0.63 (step @p309 :rule trans :premises (@p16 @p308)) % 0.37/0.63 (step @p310 :rule ho_cong :premises (@p309 @p287)) % 0.37/0.63 (step @p311 :rule ho_cong :premises (@p284 @p310)) % 0.37/0.63 (step @p312 :rule ho_cong :premises (@p284 @p106)) % 0.37/0.63 (step @p313 :rule ho_cong :premises (@p312 @p75)) % 0.37/0.63 (step @p314 :rule cong :premises (@p313) :args (@t16)) % 0.37/0.63 (step @p315 :rule nary_cong :premises (@p299 @p292) :args (@t247)) % 0.37/0.63 (step @p316 :rule cong :premises (@p315) :args ((forall @t10 @t247))) % 0.37/0.63 (step @p317 :rule bool-impl-elim :args (@t9 @t40)) % 0.37/0.63 (step @p318 :rule cong :premises (@p317) :args (@t41)) % 0.37/0.63 (step @p319 :rule trans :premises (@p318 @p316)) % 0.37/0.63 (step @p320 :rule cong :premises (@p319) :args (@t43)) % 0.37/0.63 (step @p321 :rule trans :premises (@p15 @p320)) % 0.37/0.63 (step @p322 :rule ho_cong :premises (@p321 @p314)) % 0.37/0.63 (step @p323 :rule nary_cong :premises (@p274 @p267) :args (@t248)) % 0.37/0.63 (step @p324 :rule cong :premises (@p323) :args ((forall @t32 @t248))) % 0.37/0.63 (step @p325 :rule bool-impl-elim :args (@t6 @t31)) % 0.37/0.63 (step @p326 :rule cong :premises (@p325) :args (@t33)) % 0.37/0.63 (step @p327 :rule trans :premises (@p326 @p324)) % 0.37/0.63 (step @p328 :rule cong :premises (@p327) :args (@t35)) % 0.37/0.63 (step @p329 :rule trans :premises (@p13 @p328)) % 0.37/0.63 (step @p330 :rule ho_cong :premises (@p329 @p322)) % 0.37/0.63 (step @p331 :rule ho_cong :premises (@p329 @p260)) % 0.37/0.63 (step @p332 :rule ho_cong :premises (@p331 @p75)) % 0.37/0.63 (step @p333 :rule cong :premises (@p332) :args (@t17)) % 0.37/0.63 (step @p334 :rule ho_cong :premises (@p309 @p333)) % 0.37/0.63 (step @p335 :rule ho_cong :premises (@p284 @p334)) % 0.37/0.63 (step @p336 :rule ho_cong :premises (@p9 @p335)) % 0.37/0.63 (step @p337 :rule ho_cong :premises (@p336 @p330)) % 0.37/0.63 (step @p338 :rule ho_cong :premises (@p11 @p337)) % 0.37/0.63 (step @p339 :rule ho_cong :premises (@p338 @p311)) % 0.37/0.63 (step @p340 :rule ho_cong :premises (@p7 @p339)) % 0.37/0.63 (step @p341 :rule cong :premises (@p340) :args (@t18)) % 0.37/0.63 (step @p342 :rule trans :premises (@p341 @p259)) % 0.37/0.63 (step @p343 :rule eq_resolve :premises (@p5 @p342)) % 0.35/0.63 (step @p344 :rule not_implies_elim1 :premises (@p343)) % 0.35/0.63 (step @p345 :rule and_elim :premises (@p344) :args (1)) % 0.35/0.63 (step @p346 :rule instantiate :premises (@p345) :args ((@list @t250 @t249))) % 0.35/0.63 (step @p347 :rule and_elim :premises (@p344) :args (0)) % 0.35/0.63 (step @p348 :rule skolemize :premises (@p347)) % 0.35/0.63 (step @p349 :rule bool-double-not-elim :args (@t251)) % 0.35/0.63 (step @p350 :rule refl :args (@t257)) % 0.35/0.63 (step @p351 :rule nary_cong :premises (@p350 @p349) :args ((or @t257 (not @t254)))) % 0.35/0.63 (step @p352 :rule cnf_or_neg :args (@t257 1)) % 0.35/0.63 (step @p353 :rule eq_resolve :premises (@p352 @p351)) % 0.35/0.63 (step @p354 :rule reordering :premises (@p353) :args ((or @t251 @t257))) % 0.35/0.63 (step @p355 :rule chain_m_resolution :premises (@p354 @p348) :args (@t251 @t258 @t259)) % 0.35/0.63 (step @p356 :rule bool-double-not-elim :args (@t255)) % 0.35/0.63 (step @p357 :rule nary_cong :premises (@p350 @p356) :args ((or @t257 (not @t256)))) % 0.35/0.63 (step @p358 :rule cnf_or_neg :args (@t257 0)) % 0.35/0.63 (step @p359 :rule eq_resolve :premises (@p358 @p357)) % 0.35/0.63 (step @p360 :rule reordering :premises (@p359) :args ((or @t255 @t257))) % 0.35/0.63 (step @p361 :rule chain_m_resolution :premises (@p360 @p348) :args (@t255 @t258 @t259)) % 0.35/0.63 (step @p362 :rule cnf_or_pos :args (@t262)) % 0.35/0.63 (step @p363 :rule reordering :premises (@p362) :args ((or @t256 @t254 @t261 (not @t262)))) % 0.35/0.63 (step @p364 :rule chain_m_resolution :premises (@p363 @p361 @p355 @p346) :args (@t261 (@list false false false) (@list @t255 @t251 @t262))) % 0.35/0.63 (step @p365 :rule skolemize :premises (@p364)) % 0.35/0.63 (step @p366 :rule bool-double-not-elim :args (@t264)) % 0.35/0.63 (step @p367 :rule refl :args (@t268)) % 0.35/0.63 (step @p368 :rule nary_cong :premises (@p367 @p366) :args ((or @t268 (not @t267)))) % 0.35/0.63 (step @p369 :rule cnf_or_neg :args (@t268 0)) % 0.35/0.63 (step @p370 :rule eq_resolve :premises (@p369 @p368)) % 0.35/0.63 (step @p371 :rule reordering :premises (@p370) :args ((or @t264 @t268))) % 0.35/0.63 (step @p372 :rule chain_m_resolution :premises (@p371 @p365) :args (@t264 @t258 @t269)) % 0.35/0.63 (step @p373 :rule bool-double-not-elim :args (@t252)) % 0.35/0.63 (step @p374 :rule nary_cong :premises (@p350 @p373) :args ((or @t257 (not @t253)))) % 0.35/0.63 (step @p375 :rule cnf_or_neg :args (@t257 2)) % 0.35/0.63 (step @p376 :rule eq_resolve :premises (@p375 @p374)) % 0.35/0.63 (step @p377 :rule reordering :premises (@p376) :args ((or @t252 @t257))) % 0.35/0.63 (step @p378 :rule chain_m_resolution :premises (@p377 @p348) :args (@t252 @t258 @t259)) % 0.35/0.63 (step @p379 :rule instantiate :premises (@p378) :args ((@list @t263))) % 0.35/0.63 (step @p380 :rule not_implies_elim2 :premises (@p343)) % 0.35/0.63 (step @p381 :rule not_not_elim :premises (@p380)) % 0.35/0.63 (step @p382 :rule instantiate :premises (@p381) :args ((@list @t250 @t249 @t263))) % 0.35/0.63 (step @p383 :rule bool-double-not-elim :args (@t265)) % 0.35/0.63 (step @p384 :rule nary_cong :premises (@p367 @p383) :args ((or @t268 (not @t266)))) % 0.35/0.63 (step @p385 :rule cnf_or_neg :args (@t268 1)) % 0.35/0.63 (step @p386 :rule eq_resolve :premises (@p385 @p384)) % 0.35/0.63 (step @p387 :rule reordering :premises (@p386) :args ((or @t265 @t268))) % 0.35/0.63 (step @p388 :rule chain_m_resolution :premises (@p387 @p365) :args (@t265 @t258 @t269)) % 0.35/0.63 (step @p389 :rule cnf_or_pos :args (@t272)) % 0.35/0.63 (step @p390 :rule reordering :premises (@p389) :args ((or @t256 @t254 @t267 @t266 @t271 (not @t272)))) % 0.35/0.63 (step @p391 :rule chain_m_resolution :premises (@p390 @p361 @p355 @p372 @p388 @p382) :args (@t271 (@list false false false false false) (@list @t255 @t251 @t264 @t265 @t272))) % 0.35/0.63 (step @p392 :rule cnf_or_pos :args (@t273)) % 0.35/0.63 (step @p393 :rule reordering :premises (@p392) :args ((or @t267 @t270 (not @t273)))) % 0.35/0.63 (step @p394 false :rule chain_m_resolution :premises (@p393 @p391 @p379 @p372) :args (false (@list true false false) (@list @t270 @t273 @t264))) % 0.35/0.63 ) % 0.35/0.63 % SZS output end Proof % 0.35/0.63 % cvc5 exiting %------------------------------------------------------------------------------