%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL619^1 : TPTP v9.3.1. Released v3.6.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n027.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:10 AM UTC 2026 % Result : Theorem 0.30s 0.58s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL619^1 : TPTP v9.3.1. Released v3.6.0. % 0.00/0.05 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.11/0.36 % Computer : n027.cluster.edu % 0.11/0.36 % Model : x86_64 x86_64 % 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.36 % Memory : 8046.5625MB % 0.11/0.36 % OS : Linux 6.8.0-71-generic % 0.11/0.36 % CPULimit : 300 % 0.11/0.36 % WCLimit : 300 % 0.11/0.36 % DateTime : Fri Sep 4 15:56:27 UTC 2026 % 0.11/0.37 % CPUTime : % 0.15/0.44 %----Proving TH0 % 0.30/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.30/0.58 % SZS status Theorem % 0.30/0.58 % SZS output start Proof % 0.30/0.58 ( % 0.30/0.58 (declare-sort $$unsorted 0) % 0.30/0.58 (declare-sort tptp.individuals 0) % 0.30/0.58 (define tptp.mfalse () (lambda (@list (@var "X" $$unsorted)) false)) % 0.30/0.58 (define tptp.mtrue () (lambda (@list (@var "X" $$unsorted)) true)) % 0.30/0.58 (define tptp.mnot () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 0.30/0.58 (define tptp.mor () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.30/0.58 (define tptp.mand () (let ((_let_1 (@var "U" $$unsorted))) (let ((_let_2 (@var "Y" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 0.30/0.58 (define tptp.mimpl () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "V" (-> $$unsorted Bool)))) (let ((_let_3 (@var "U" (-> $$unsorted Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.mor (_ tptp.mnot _let_3)) _let_2) _let_1)))))) % 0.30/0.58 (define tptp.miff () (let ((_let_1 (@var "__flatten_var_0" $$unsorted))) (let ((_let_2 (@var "U" (-> $$unsorted Bool)))) (let ((_let_3 (@var "V" (-> $$unsorted Bool)))) (lambda (@list _let_2 _let_3 _let_1) (_ (_ (_ tptp.mand (_ (_ tptp.mimpl _let_2) _let_3)) (_ (_ tptp.mimpl _let_3) _let_2)) _let_1)))))) % 0.30/0.58 (define tptp.mbox () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.30/0.58 (define tptp.mdia () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (let ((_let_4 (@var "R" (-> $$unsorted $$unsorted Bool)))) (lambda (@list _let_4 _let_2 _let_3) (exists (@list _let_1) (and (_ (_ _let_4 _let_3) _let_1) (_ _let_2 _let_1))))))))) % 0.30/0.58 (define tptp.mall () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.30/0.58 (define tptp.mexists () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "X" tptp.individuals))) (let ((_let_3 (@var "P" (-> tptp.individuals $$unsorted Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 0.30/0.58 (define tptp.mvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (_ _let_2 _let_1)))))) % 0.30/0.58 (define tptp.msatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (_ _let_2 _let_1)))))) % 0.30/0.58 (define tptp.mcountersatisfiable () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (exists (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.30/0.58 (define tptp.minvalid () (let ((_let_1 (@var "W" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (lambda (@list _let_2) (forall (@list _let_1) (not (_ _let_2 _let_1))))))) % 0.30/0.58 (define @t1 () (@var "X" (-> $$unsorted Bool))) % 0.30/0.58 (define @t2 () (@var "R" (-> $$unsorted $$unsorted Bool))) % 0.30/0.58 (define @t3 () (_ tptp.mbox @t2)) % 0.30/0.58 (define @t4 () (_ @t3 @t1)) % 0.30/0.58 (define @t5 () (_ tptp.mimpl @t4)) % 0.30/0.58 (define @t6 () (@list @t2 @t1)) % 0.30/0.58 (define @t7 () (forall @t6 (_ tptp.mvalid (_ @t5 (_ @t3 @t4))))) % 0.30/0.58 (define @t8 () (@var "Y" (-> $$unsorted Bool))) % 0.30/0.58 (define @t9 () (@list @t2 @t1 @t8)) % 0.30/0.58 (define @t10 () (forall @t9 (_ tptp.mvalid (_ (_ tptp.mimpl (_ @t3 (_ (_ tptp.mimpl @t1) @t8))) (_ @t5 (_ @t3 (_ @t3 @t8))))))) % 0.30/0.58 (define @t11 () (not @t10)) % 0.30/0.58 (define @t12 () (@var "X" $$unsorted)) % 0.30/0.58 (define @t13 () (@list @t12)) % 0.30/0.58 (define @t14 () (lambda @t13 false)) % 0.30/0.58 (define @t15 () (lambda @t13 true)) % 0.30/0.58 (define @t16 () (@var "U" $$unsorted)) % 0.30/0.58 (define @t17 () (_ @t1 @t16)) % 0.30/0.58 (define @t18 () (lambda (@list @t1 @t16) (not @t17))) % 0.30/0.58 (define @t19 () (_ @t8 @t16)) % 0.30/0.58 (define @t20 () (@list @t1 @t8 @t16)) % 0.30/0.58 (define @t21 () (lambda @t20 (or @t17 @t19))) % 0.30/0.58 (define @t22 () (lambda @t20 (and @t17 @t19))) % 0.30/0.58 (define @t23 () (@var "__flatten_var_0" $$unsorted)) % 0.30/0.58 (define @t24 () (@var "V" (-> $$unsorted Bool))) % 0.30/0.58 (define @t25 () (@var "U" (-> $$unsorted Bool))) % 0.30/0.58 (define @t26 () (@list @t25 @t24 @t23)) % 0.30/0.58 (define @t27 () (lambda @t26 (_ (_ (_ tptp.mor (_ tptp.mnot @t25)) @t24) @t23))) % 0.30/0.58 (define @t28 () (lambda @t26 (_ (_ (_ tptp.mand (_ (_ tptp.mimpl @t25) @t24)) (_ (_ tptp.mimpl @t24) @t25)) @t23))) % 0.30/0.58 (define @t29 () (@var "Y" $$unsorted)) % 0.30/0.58 (define @t30 () (@var "P" (-> $$unsorted Bool))) % 0.30/0.58 (define @t31 () (_ @t30 @t29)) % 0.30/0.58 (define @t32 () (_ (_ @t2 @t12) @t29)) % 0.30/0.58 (define @t33 () (@list @t29)) % 0.30/0.58 (define @t34 () (forall @t33 (=> @t32 @t31))) % 0.30/0.58 (define @t35 () (@list @t2 @t30 @t12)) % 0.30/0.58 (define @t36 () (lambda @t35 @t34)) % 0.30/0.58 (define @t37 () (lambda @t35 (exists @t33 (and @t32 @t31)))) % 0.30/0.58 (define @t38 () (@var "W" $$unsorted)) % 0.30/0.58 (define @t39 () (@var "X" tptp.individuals)) % 0.30/0.58 (define @t40 () (@var "P" (-> tptp.individuals $$unsorted Bool))) % 0.30/0.58 (define @t41 () (_ (_ @t40 @t39) @t38)) % 0.30/0.58 (define @t42 () (@list @t39)) % 0.30/0.58 (define @t43 () (@list @t40 @t38)) % 0.30/0.58 (define @t44 () (lambda @t43 (forall @t42 @t41))) % 0.30/0.58 (define @t45 () (lambda @t43 (exists @t42 @t41))) % 0.30/0.58 (define @t46 () (_ @t30 @t38)) % 0.30/0.58 (define @t47 () (@list @t38)) % 0.30/0.58 (define @t48 () (forall @t47 @t46)) % 0.30/0.58 (define @t49 () (@list @t30)) % 0.30/0.58 (define @t50 () (lambda @t49 @t48)) % 0.30/0.58 (define @t51 () (lambda @t49 (exists @t47 @t46))) % 0.30/0.58 (define @t52 () (not @t46)) % 0.30/0.58 (define @t53 () (lambda @t49 (exists @t47 @t52))) % 0.30/0.58 (define @t54 () (lambda @t49 (forall @t47 @t52))) % 0.30/0.58 (define @t55 () (@var "BOUND_VARIABLE_7981" $$unsorted)) % 0.30/0.58 (define @t56 () (_ @t8 @t55)) % 0.30/0.58 (define @t57 () (@var "BOUND_VARIABLE_7979" $$unsorted)) % 0.30/0.58 (define @t58 () (not (_ @t2 @t57 @t55))) % 0.30/0.58 (define @t59 () (not (_ @t2 @t38 @t57))) % 0.30/0.58 (define @t60 () (_ @t1 @t29)) % 0.30/0.58 (define @t61 () (not (_ @t2 @t38 @t29))) % 0.30/0.58 (define @t62 () (not (forall @t33 (or @t61 @t60)))) % 0.30/0.58 (define @t63 () (_ @t8 @t29)) % 0.30/0.58 (define @t64 () (not @t60)) % 0.30/0.58 (define @t65 () (not (forall @t33 (or @t61 @t64 @t63)))) % 0.30/0.58 (define @t66 () (or @t65 @t62 @t59 @t58 @t56)) % 0.30/0.58 (define @t67 () (forall (@list @t2 @t1 @t8 @t38 @t57 @t55) @t66)) % 0.30/0.58 (define @t68 () (@quantifiers_skolemize @t67 2)) % 0.30/0.58 (define @t69 () (_ @t68 @t29)) % 0.30/0.58 (define @t70 () (@quantifiers_skolemize @t67 4)) % 0.30/0.58 (define @t71 () (@quantifiers_skolemize @t67 0)) % 0.30/0.58 (define @t72 () (forall @t33 (or (not (_ @t71 @t70 @t29)) @t69))) % 0.30/0.58 (define @t73 () (@quantifiers_skolemize @t72 0)) % 0.30/0.58 (define @t74 () (_ @t71 @t70 @t73)) % 0.30/0.58 (define @t75 () (_ @t68 @t73)) % 0.30/0.58 (define @t76 () (not @t74)) % 0.30/0.58 (define @t77 () (or @t76 @t75)) % 0.30/0.58 (define @t78 () (@list @t38 @t57 @t55)) % 0.30/0.58 (define @t79 () (or @t59 @t58 @t56)) % 0.30/0.58 (define @t80 () (or @t65 @t62 @t79)) % 0.30/0.58 (define @t81 () (forall @t78 @t80)) % 0.30/0.58 (define @t82 () (@list @t57 @t55)) % 0.30/0.58 (define @t83 () (forall @t82 @t80)) % 0.30/0.58 (define @t84 () (forall @t82 @t79)) % 0.30/0.58 (define @t85 () (@var "BOUND_VARIABLE_7941" $$unsorted)) % 0.30/0.58 (define @t86 () (or @t65 @t62 @t84)) % 0.30/0.58 (define @t87 () (_ @t8 @t85)) % 0.30/0.58 (define @t88 () (not (_ @t2 @t29 @t85))) % 0.30/0.58 (define @t89 () (@list @t29 @t85)) % 0.30/0.58 (define @t90 () (or @t65 @t62 (forall @t89 (or @t61 @t88 @t87)))) % 0.30/0.58 (define @t91 () (not (_ @t2 @t23 @t29))) % 0.30/0.58 (define @t92 () (forall @t89 (or @t91 @t88 @t87))) % 0.30/0.58 (define @t93 () (forall @t33 (or @t91 @t60))) % 0.30/0.58 (define @t94 () (not @t93)) % 0.30/0.58 (define @t95 () (forall @t33 (or @t91 @t64 @t63))) % 0.30/0.58 (define @t96 () (not @t95)) % 0.30/0.58 (define @t97 () (or @t96 @t94 @t92)) % 0.30/0.58 (define @t98 () (@list @t23)) % 0.30/0.58 (define @t99 () (lambda @t98 @t97)) % 0.30/0.58 (define @t100 () (_ @t99 @t38)) % 0.30/0.58 (define @t101 () (forall @t47 @t100)) % 0.30/0.58 (define @t102 () (_ @t30 @t38)) % 0.30/0.58 (define @t103 () (lambda @t49 (forall @t47 @t102))) % 0.30/0.58 (define @t104 () (or @t94 @t92)) % 0.30/0.58 (define @t105 () (lambda @t98 @t104)) % 0.30/0.58 (define @t106 () (_ @t105 @t23)) % 0.30/0.58 (define @t107 () (or @t96 @t106)) % 0.30/0.58 (define @t108 () (lambda @t98 @t107)) % 0.30/0.58 (define @t109 () (_ @t24 @t23)) % 0.30/0.58 (define @t110 () (@list @t24 @t23)) % 0.30/0.58 (define @t111 () (_ @t2 @t12 @t29)) % 0.30/0.58 (define @t112 () (not @t111)) % 0.30/0.58 (define @t113 () (or @t112 @t88 @t87)) % 0.30/0.58 (define @t114 () (lambda @t13 (forall @t89 @t113))) % 0.30/0.58 (define @t115 () (_ @t114 @t23)) % 0.30/0.58 (define @t116 () (or @t94 @t115)) % 0.30/0.58 (define @t117 () (lambda @t98 @t116)) % 0.30/0.58 (define @t118 () (lambda @t110 (or @t94 @t109))) % 0.30/0.58 (define @t119 () (or @t88 @t87)) % 0.30/0.58 (define @t120 () (or @t112 @t119)) % 0.30/0.58 (define @t121 () (forall @t89 @t120)) % 0.30/0.58 (define @t122 () (@list @t85)) % 0.30/0.58 (define @t123 () (forall @t122 @t120)) % 0.30/0.58 (define @t124 () (forall @t122 @t119)) % 0.30/0.58 (define @t125 () (@var "BOUND_VARIABLE_7925" $$unsorted)) % 0.30/0.58 (define @t126 () (@list @t125)) % 0.30/0.58 (define @t127 () (or @t112 @t124)) % 0.30/0.58 (define @t128 () (_ @t8 @t125)) % 0.30/0.58 (define @t129 () (@list @t125)) % 0.30/0.58 (define @t130 () (forall @t129 (or (not (_ @t2 @t29 @t125)) @t128))) % 0.30/0.58 (define @t131 () (forall @t33 (or @t112 @t63))) % 0.30/0.58 (define @t132 () (@list @t29)) % 0.30/0.58 (define @t133 () (lambda @t13 @t131)) % 0.30/0.58 (define @t134 () (or @t112 (_ @t133 @t29))) % 0.30/0.58 (define @t135 () (forall @t33 @t134)) % 0.30/0.58 (define @t136 () (lambda @t13 @t135)) % 0.30/0.58 (define @t137 () (_ @t30 @t29)) % 0.30/0.58 (define @t138 () (forall @t33 (or @t112 @t137))) % 0.30/0.58 (define @t139 () (lambda (@list @t30 @t12) @t138)) % 0.30/0.58 (define @t140 () (_ (lambda @t35 @t138) @t2)) % 0.30/0.58 (define @t141 () (forall @t33 (or @t112 @t60))) % 0.30/0.58 (define @t142 () (lambda @t13 @t141)) % 0.30/0.58 (define @t143 () (_ @t142 @t23)) % 0.30/0.58 (define @t144 () (not @t143)) % 0.30/0.58 (define @t145 () (or @t144 @t109)) % 0.30/0.58 (define @t146 () (lambda @t110 @t145)) % 0.30/0.58 (define @t147 () (or (not (_ @t25 @t23)) @t109)) % 0.30/0.58 (define @t148 () (lambda @t26 @t147)) % 0.30/0.58 (define @t149 () (lambda @t13 (forall @t33 (or @t112 @t64 @t63)))) % 0.30/0.58 (define @t150 () (_ @t149 @t23)) % 0.30/0.58 (define @t151 () (not @t150)) % 0.30/0.58 (define @t152 () (or @t151 @t109)) % 0.30/0.58 (define @t153 () (lambda @t110 @t152)) % 0.30/0.58 (define @t154 () (_ @t8 @t29)) % 0.30/0.58 (define @t155 () (_ @t1 @t29)) % 0.30/0.58 (define @t156 () (not @t155)) % 0.30/0.58 (define @t157 () (or @t112 @t156 @t154)) % 0.30/0.58 (define @t158 () (or @t156 @t154)) % 0.30/0.58 (define @t159 () (not (_ @t1 @t23))) % 0.30/0.58 (define @t160 () (lambda @t98 (or @t159 (_ @t8 @t23)))) % 0.30/0.58 (define @t161 () (_ @t160 @t29)) % 0.30/0.58 (define @t162 () (or @t112 @t161)) % 0.30/0.58 (define @t163 () (forall @t33 @t162)) % 0.30/0.58 (define @t164 () (lambda @t13 @t163)) % 0.30/0.58 (define @t165 () (lambda @t110 (or @t159 @t109))) % 0.30/0.58 (define @t166 () (_ @t148 @t1)) % 0.30/0.58 (define @t167 () (_ @t140 @t1)) % 0.30/0.58 (define @t168 () (_ @t148 @t167)) % 0.30/0.58 (define @t169 () (forall @t9 (_ @t103 (_ (_ @t148 (_ @t140 (_ @t166 @t8))) (_ @t168 (_ @t140 (_ @t140 @t8))))))) % 0.30/0.58 (define @t170 () (not @t32)) % 0.30/0.58 (define @t171 () (or @t170 @t31)) % 0.30/0.58 (define @t172 () (not (_ @t25 @t16))) % 0.30/0.58 (define @t173 () (@list @t16)) % 0.30/0.58 (define @t174 () (lambda @t173 (or @t172 (_ @t24 @t16)))) % 0.30/0.58 (define @t175 () (@list @t8 @t16)) % 0.30/0.58 (define @t176 () (lambda @t173 @t172)) % 0.30/0.58 (define @t177 () (_ @t176 @t16)) % 0.30/0.58 (define @t178 () (or @t177 @t19)) % 0.30/0.58 (define @t179 () (lambda @t175 @t178)) % 0.30/0.58 (define @t180 () (@quantifiers_skolemize @t67 3)) % 0.30/0.58 (define @t181 () (_ @t71 @t180 @t70)) % 0.30/0.58 (define @t182 () (@quantifiers_skolemize @t67 5)) % 0.30/0.58 (define @t183 () (_ @t68 @t182)) % 0.30/0.58 (define @t184 () (_ @t71 @t70 @t182)) % 0.30/0.58 (define @t185 () (not @t184)) % 0.30/0.58 (define @t186 () (not @t181)) % 0.30/0.58 (define @t187 () (@quantifiers_skolemize @t67 1)) % 0.30/0.58 (define @t188 () (_ @t187 @t29)) % 0.30/0.58 (define @t189 () (not (_ @t71 @t180 @t29))) % 0.30/0.58 (define @t190 () (forall @t33 (or @t189 @t188))) % 0.30/0.58 (define @t191 () (not @t190)) % 0.30/0.58 (define @t192 () (forall @t33 (or @t189 (not @t188) @t69))) % 0.30/0.58 (define @t193 () (not @t192)) % 0.30/0.58 (define @t194 () (or @t193 @t191 @t186 @t185 @t183)) % 0.30/0.58 (define @t195 () (@list true)) % 0.30/0.58 (define @t196 () (@list @t194)) % 0.30/0.58 (define @t197 () (forall @t33 (or @t189 @t69))) % 0.30/0.58 (define @t198 () (@quantifiers_skolemize @t197 0)) % 0.30/0.58 (define @t199 () (_ @t71 @t180 @t198)) % 0.30/0.58 (define @t200 () (_ @t68 @t198)) % 0.30/0.58 (define @t201 () (not @t199)) % 0.30/0.58 (define @t202 () (or @t201 @t200)) % 0.30/0.58 (define @t203 () (@list @t198)) % 0.30/0.58 (define @t204 () (_ @t187 @t198)) % 0.30/0.58 (define @t205 () (or @t201 @t204)) % 0.30/0.58 (define @t206 () (not @t204)) % 0.30/0.58 (define @t207 () (or @t201 @t206 @t200)) % 0.30/0.58 (define @t208 () (@list false false false true false)) % 0.30/0.58 (define @t209 () (not @t202)) % 0.30/0.58 (define @t210 () (not @t197)) % 0.30/0.58 (define @t211 () (@list false)) % 0.30/0.58 (define @t212 () (@var "BOUND_VARIABLE_7852" $$unsorted)) % 0.30/0.58 (define @t213 () (_ @t1 @t212)) % 0.30/0.58 (define @t214 () (@var "BOUND_VARIABLE_7850" $$unsorted)) % 0.30/0.58 (define @t215 () (not (_ @t2 @t214 @t212))) % 0.30/0.58 (define @t216 () (not (_ @t2 @t38 @t214))) % 0.30/0.58 (define @t217 () (or @t62 @t216 @t215 @t213)) % 0.30/0.58 (define @t218 () (@list @t38 @t214 @t212)) % 0.30/0.58 (define @t219 () (or @t216 @t215 @t213)) % 0.30/0.58 (define @t220 () (or @t62 @t219)) % 0.30/0.58 (define @t221 () (forall @t218 @t220)) % 0.30/0.58 (define @t222 () (@list @t214 @t212)) % 0.30/0.58 (define @t223 () (forall @t222 @t220)) % 0.30/0.58 (define @t224 () (forall @t222 @t219)) % 0.30/0.58 (define @t225 () (@var "BOUND_VARIABLE_7817" $$unsorted)) % 0.30/0.58 (define @t226 () (or @t62 @t224)) % 0.30/0.58 (define @t227 () (_ @t1 @t225)) % 0.30/0.58 (define @t228 () (not (_ @t2 @t29 @t225))) % 0.30/0.58 (define @t229 () (@list @t29 @t225)) % 0.30/0.58 (define @t230 () (or @t62 (forall @t229 (or @t61 @t228 @t227)))) % 0.30/0.58 (define @t231 () (forall @t229 (or @t91 @t228 @t227))) % 0.30/0.58 (define @t232 () (lambda @t98 (or @t94 @t231))) % 0.30/0.58 (define @t233 () (_ @t232 @t38)) % 0.30/0.58 (define @t234 () (forall @t47 @t233)) % 0.30/0.58 (define @t235 () (or @t112 @t228 @t227)) % 0.30/0.58 (define @t236 () (lambda @t13 (forall @t229 @t235))) % 0.30/0.58 (define @t237 () (_ @t236 @t23)) % 0.30/0.58 (define @t238 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(define @t258 () (or @t185 @t183)) % 0.30/0.58 (define @t259 () (not @t258)) % 0.30/0.58 (assume @p1 @t7) % 0.30/0.58 (assume @p2 @t11) % 0.30/0.58 (assume @p3 true) % 0.30/0.58 (step @p4 (= tptp.mfalse @t14) :rule refl :args (@t14)) % 0.30/0.58 (step @p5 (= tptp.mtrue @t15) :rule refl :args (@t15)) % 0.30/0.58 (step @p6 (= tptp.mnot @t18) :rule refl :args (@t18)) % 0.30/0.58 (step @p7 (= tptp.mor @t21) :rule refl :args (@t21)) % 0.30/0.58 (step @p8 (= tptp.mand @t22) :rule refl :args (@t22)) % 0.30/0.58 (step @p9 (= tptp.mimpl @t27) :rule refl :args (@t27)) % 0.30/0.58 (step @p10 (= tptp.miff @t28) :rule refl :args (@t28)) % 0.30/0.58 (step @p11 (= tptp.mbox @t36) :rule refl :args (@t36)) % 0.30/0.58 (step @p12 (= tptp.mdia @t37) :rule refl :args (@t37)) % 0.30/0.58 (step @p13 (= tptp.mall @t44) :rule refl :args (@t44)) % 0.30/0.58 (step @p14 (= tptp.mexists @t45) :rule refl :args (@t45)) % 0.30/0.58 (step @p15 (= tptp.mvalid @t50) :rule refl :args (@t50)) % 0.30/0.58 (step @p16 (= 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alpha_equiv :args (@t84 (@list @t57 @t55) (@list @t29 @t85))) % 0.30/0.58 (step @p31 :rule refl :args (@t62)) % 0.30/0.58 (step @p32 :rule refl :args (@t65)) % 0.30/0.58 (step @p33 :rule nary_cong :premises (@p32 @p31 @p30) :args (@t86)) % 0.30/0.58 (step @p34 :rule quant-miniscope-or :args ((= @t83 @t86))) % 0.30/0.58 (step @p35 :rule trans :premises (@p34 @p33)) % 0.30/0.58 (step @p36 :rule symm :premises (@p35)) % 0.30/0.58 (step @p37 :rule cong :premises (@p36) :args ((forall @t47 @t90))) % 0.30/0.58 (step @p38 :rule trans :premises (@p37 @p29)) % 0.30/0.58 (step @p39 :rule trans :premises (@p38 @p28)) % 0.30/0.58 (step @p40 :rule beta-reduce :args ((= @t100 @t90))) % 0.30/0.58 (step @p41 :rule cong :premises (@p40) :args (@t101)) % 0.30/0.58 (step @p42 :rule trans :premises (@p41 @p39)) % 0.30/0.58 (step @p43 :rule beta-reduce :args ((= (_ @t103 @t99) @t101))) % 0.30/0.58 (step @p44 :rule trans :premises (@p43 @p42)) % 0.30/0.58 (step @p45 :rule aci_norm :args ((= (or @t96 @t104) 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0.30/0.58 (step @p61 :rule quant-merge-prenex :args ((= (forall @t33 @t123) @t121))) % 0.30/0.58 (step @p62 :rule alpha_equiv :args (@t124 (@list @t85) @t126)) % 0.30/0.58 (step @p63 :rule refl :args (@t112)) % 0.30/0.58 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t127)) % 0.30/0.58 (step @p65 :rule quant-miniscope-or :args ((= @t123 @t127))) % 0.30/0.58 (step @p66 :rule trans :premises (@p65 @p64)) % 0.30/0.58 (step @p67 :rule symm :premises (@p66)) % 0.30/0.58 (step @p68 :rule cong :premises (@p67) :args ((forall @t33 (or @t112 @t130)))) % 0.30/0.58 (step @p69 :rule trans :premises (@p68 @p61)) % 0.30/0.58 (step @p70 :rule trans :premises (@p69 @p60)) % 0.30/0.58 (step @p71 :rule beta-reduce :args ((= (_ (lambda @t13 (forall @t129 (or (not (_ @t2 @t12 @t125)) @t128))) @t29) @t130))) % 0.30/0.58 (step @p72 :rule refl :args (@t29)) % 0.30/0.58 (step @p73 :rule alpha_equiv :args (@t131 @t132 @t126)) % 0.30/0.58 (step @p74 :rule cong :premises (@p73) :args (@t133)) % 0.30/0.58 (step @p75 :rule ho_cong :premises (@p74 @p72)) % 0.30/0.58 (step @p76 :rule trans :premises (@p75 @p71)) % 0.30/0.58 (step @p77 :rule refl :args (@t112)) % 0.30/0.58 (step @p78 :rule nary_cong :premises (@p77 @p76) :args (@t134)) % 0.30/0.58 (step @p79 :rule cong :premises (@p78) :args (@t135)) % 0.30/0.58 (step @p80 :rule trans :premises (@p79 @p70)) % 0.30/0.58 (step @p81 :rule cong :premises (@p80) :args (@t136)) % 0.30/0.58 (step @p82 :rule beta-reduce :args ((= (_ @t139 @t133) @t136))) % 0.30/0.58 (step @p83 :rule trans :premises (@p82 @p81)) % 0.30/0.58 (step @p84 :rule beta-reduce :args ((= (_ @t139 @t8) @t133))) % 0.30/0.58 (step @p85 :rule refl :args (@t8)) % 0.30/0.58 (step @p86 :rule beta-reduce :args ((= @t140 @t139))) % 0.30/0.58 (step @p87 :rule ho_cong :premises (@p86 @p85)) % 0.30/0.58 (step @p88 :rule trans :premises (@p87 @p84)) % 0.30/0.58 (step @p89 :rule ho_cong :premises (@p86 @p88)) % 0.30/0.58 (step @p90 :rule trans :premises (@p89 @p83)) % 0.30/0.58 (step @p91 :rule refl :args (@t109)) % 0.30/0.58 (step @p92 :rule beta-reduce :args ((= @t143 @t93))) % 0.30/0.58 (step @p93 :rule cong :premises (@p92) :args (@t144)) % 0.30/0.58 (step @p94 :rule nary_cong :premises (@p93 @p91) :args (@t145)) % 0.30/0.58 (step @p95 :rule cong :premises (@p94) :args (@t146)) % 0.30/0.58 (step @p96 :rule beta-reduce :args ((= (_ @t148 @t142) @t146))) % 0.30/0.58 (step @p97 :rule trans :premises (@p96 @p95)) % 0.30/0.58 (step @p98 :rule beta-reduce :args ((= (_ @t139 @t1) @t142))) % 0.30/0.58 (step @p99 :rule refl :args (@t1)) % 0.30/0.58 (step @p100 :rule ho_cong :premises (@p86 @p99)) % 0.30/0.58 (step @p101 :rule trans :premises (@p100 @p98)) % 0.30/0.58 (step @p102 :rule refl :args (@t148)) % 0.30/0.58 (step @p103 :rule ho_cong :premises (@p102 @p101)) % 0.30/0.58 (step @p104 :rule trans :premises (@p103 @p97)) % 0.30/0.58 (step @p105 :rule ho_cong :premises (@p104 @p90)) % 0.30/0.58 (step @p106 :rule trans :premises (@p105 @p58)) % 0.30/0.58 (step 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(@t36)) % 0.30/0.58 (step @p169 :rule trans :premises (@p11 @p168)) % 0.30/0.58 (step @p170 :rule ho_cong :premises (@p169 @p151)) % 0.30/0.58 (step @p171 :rule ho_cong :premises (@p170 @p85)) % 0.30/0.58 (step @p172 :rule ho_cong :premises (@p170 @p171)) % 0.30/0.58 (step @p173 :rule ho_cong :premises (@p170 @p99)) % 0.30/0.58 (step @p174 :rule beta-reduce :args ((= (_ @t174 @t23) @t147))) % 0.30/0.58 (step @p175 :rule refl :args (@t23)) % 0.30/0.58 (step @p176 :rule beta-reduce :args ((= (_ (lambda @t175 (or @t172 @t19)) @t24) @t174))) % 0.30/0.58 (step @p177 :rule refl :args (@t24)) % 0.30/0.58 (step @p178 :rule refl :args (@t19)) % 0.30/0.58 (step @p179 :rule beta-reduce :args ((= @t177 @t172))) % 0.30/0.58 (step @p180 :rule nary_cong :premises (@p179 @p178) :args (@t178)) % 0.30/0.58 (step @p181 :rule cong :premises (@p180) :args (@t179)) % 0.30/0.58 (step @p182 :rule beta-reduce :args ((= (_ @t21 @t176) @t179))) % 0.30/0.58 (step @p183 :rule trans :premises (@p182 @p181)) % 0.30/0.58 (step @p184 :rule beta-reduce :args ((= (_ @t18 @t25) @t176))) % 0.30/0.58 (step @p185 :rule refl :args (@t21)) % 0.30/0.58 (step @p186 :rule ho_cong :premises (@p185 @p184)) % 0.30/0.58 (step @p187 :rule trans :premises (@p186 @p183)) % 0.30/0.58 (step @p188 :rule ho_cong :premises (@p187 @p177)) % 0.30/0.58 (step @p189 :rule trans :premises (@p188 @p176)) % 0.30/0.58 (step @p190 :rule ho_cong :premises (@p189 @p175)) % 0.30/0.58 (step @p191 :rule trans :premises (@p190 @p174)) % 0.30/0.58 (step @p192 :rule refl :args (@t25)) % 0.30/0.58 (step @p193 :rule ho_cong :premises (@p6 @p192)) % 0.30/0.58 (step @p194 :rule ho_cong :premises (@p7 @p193)) % 0.30/0.58 (step @p195 :rule ho_cong :premises (@p194 @p177)) % 0.30/0.58 (step @p196 :rule ho_cong :premises (@p195 @p175)) % 0.30/0.58 (step @p197 :rule trans :premises (@p196 @p191)) % 0.30/0.58 (step @p198 :rule cong :premises (@p197) :args (@t27)) % 0.30/0.58 (step @p199 :rule trans :premises (@p9 @p198)) % 0.30/0.58 (step @p200 :rule ho_cong :premises (@p199 @p173)) % 0.30/0.58 (step @p201 :rule ho_cong :premises (@p200 @p172)) % 0.30/0.58 (step @p202 :rule ho_cong :premises (@p199 @p99)) % 0.30/0.58 (step @p203 :rule ho_cong :premises (@p202 @p85)) % 0.30/0.58 (step @p204 :rule ho_cong :premises (@p170 @p203)) % 0.30/0.58 (step @p205 :rule ho_cong :premises (@p199 @p204)) % 0.30/0.58 (step @p206 :rule ho_cong :premises (@p205 @p201)) % 0.30/0.58 (step @p207 :rule refl :args (@t102)) % 0.30/0.58 (step @p208 :rule refl :args (@t46)) % 0.30/0.58 (step @p209 :rule cong :premises (@p208 @p207) :args ((= @t46 @t102))) % 0.30/0.58 (step @p210 :rule symm :premises (@p209)) % 0.30/0.58 (step @p211 :rule eq_resolve :premises (@p208 @p210)) % 0.30/0.58 (step @p212 :rule cong :premises (@p211) :args (@t48)) % 0.30/0.58 (step @p213 :rule cong :premises (@p212) :args (@t50)) % 0.30/0.58 (step @p214 :rule trans :premises (@p15 @p213)) % 0.30/0.58 (step @p215 :rule ho_cong :premises (@p214 @p206)) % 0.30/0.58 (step @p216 :rule cong :premises (@p215) :args (@t10)) % 0.30/0.58 (step @p217 :rule cong :premises (@p216) :args (@t11)) % 0.30/0.58 (step @p218 :rule trans :premises (@p217 @p150)) % 0.30/0.58 (step @p219 :rule eq_resolve :premises (@p2 @p218)) % 0.30/0.58 (step @p220 :rule skolemize :premises (@p219)) % 0.30/0.58 (step @p221 :rule bool-double-not-elim :args (@t181)) % 0.30/0.58 (step @p222 :rule refl :args (@t194)) % 0.30/0.58 (step @p223 :rule nary_cong :premises (@p222 @p221) :args ((or @t194 (not @t186)))) % 0.30/0.58 (step @p224 :rule cnf_or_neg :args (@t194 2)) % 0.30/0.58 (step @p225 :rule eq_resolve :premises (@p224 @p223)) % 0.30/0.58 (step @p226 :rule reordering :premises (@p225) :args ((or @t181 @t194))) % 0.30/0.58 (step @p227 :rule chain_m_resolution :premises (@p226 @p220) :args (@t181 @t195 @t196)) % 0.30/0.58 (step @p228 :rule bool-double-not-elim :args (@t199)) % 0.30/0.58 (step @p229 :rule refl :args (@t202)) % 0.30/0.58 (step @p230 :rule nary_cong :premises (@p229 @p228) :args ((or @t202 (not @t201)))) % 0.30/0.58 (step @p231 :rule cnf_or_neg :args (@t202 0)) % 0.30/0.58 (step @p232 :rule eq_resolve :premises (@p231 @p230)) % 0.30/0.58 (step @p233 :rule reordering :premises (@p232) :args ((or @t199 @t202))) % 0.30/0.58 (step @p234 :rule cnf_or_neg :args (@t202 1)) % 0.30/0.58 (step @p235 :rule bool-double-not-elim :args (@t190)) % 0.30/0.58 (step @p236 :rule nary_cong :premises (@p222 @p235) :args ((or @t194 (not @t191)))) % 0.30/0.58 (step @p237 :rule cnf_or_neg :args (@t194 1)) % 0.30/0.58 (step @p238 :rule eq_resolve :premises (@p237 @p236)) % 0.30/0.58 (step @p239 :rule reordering :premises (@p238) :args ((or @t190 @t194))) % 0.30/0.58 (step @p240 :rule chain_m_resolution :premises (@p239 @p220) :args (@t190 @t195 @t196)) % 0.30/0.58 (step @p241 :rule instantiate :premises (@p240) :args (@t203)) % 0.30/0.58 (step @p242 :rule cnf_or_pos :args (@t205)) % 0.30/0.58 (step @p243 :rule reordering :premises (@p242) :args ((or @t201 @t204 (not @t205)))) % 0.30/0.58 (step @p244 :rule bool-double-not-elim :args (@t192)) % 0.30/0.58 (step @p245 :rule nary_cong :premises (@p222 @p244) :args ((or @t194 (not @t193)))) % 0.30/0.58 (step @p246 :rule cnf_or_neg :args (@t194 0)) % 0.30/0.58 (step @p247 :rule eq_resolve :premises (@p246 @p245)) % 0.30/0.58 (step @p248 :rule reordering :premises (@p247) :args ((or @t192 @t194))) % 0.30/0.58 (step @p249 :rule chain_m_resolution :premises (@p248 @p220) :args (@t192 @t195 @t196)) % 0.30/0.58 (step @p250 :rule instantiate :premises (@p249) :args (@t203)) % 0.30/0.58 (step @p251 :rule cnf_or_pos :args (@t207)) % 0.30/0.58 (step @p252 :rule reordering :premises (@p251) :args ((or @t201 @t200 @t206 (not @t207)))) % 0.30/0.58 (step @p253 :rule chain_m_resolution :premises (@p252 @p250 @p243 @p241 @p234 @p233) :args (@t202 @t208 (@list @t207 @t204 @t205 @t200 @t199))) % 0.30/0.58 (step @p254 :rule refl :args (@t209)) % 0.30/0.58 (step @p255 :rule bool-double-not-elim :args (@t197)) % 0.30/0.58 (step @p256 :rule nary_cong :premises (@p255 @p254) :args ((or (not @t210) @t209))) % 0.30/0.58 (assume-push @p353 @t210) % 0.30/0.58 (step @p258 :rule skolemize :premises (@p353)) % 0.30/0.58 (step-pop @p354 :rule scope :premises (@p258)) % 0.30/0.58 (step @p259 :rule process_scope :premises (@p354) :args (@t209)) % 0.30/0.58 (step @p261 :rule implies_elim :premises (@p259)) % 0.30/0.58 (step @p262 :rule eq_resolve :premises (@p261 @p256)) % 0.30/0.58 (step @p263 :rule chain_m_resolution :premises (@p262 @p253) :args (@t197 @t211 (@list @t202))) % 0.30/0.58 (step @p264 :rule quant-merge-prenex :args ((= (forall @t6 (forall @t218 @t217)) (forall (@list @t2 @t1 @t38 @t214 @t212) @t217)))) % 0.30/0.58 (step @p265 :rule aci_norm :args ((= @t220 @t217))) % 0.30/0.58 (step @p266 :rule cong :premises (@p265) :args (@t221)) % 0.30/0.58 (step @p267 :rule quant-merge-prenex :args ((= (forall @t47 @t223) @t221))) % 0.30/0.58 (step @p268 :rule alpha_equiv :args (@t224 (@list @t214 @t212) (@list @t29 @t225))) % 0.30/0.58 (step @p269 :rule nary_cong :premises (@p31 @p268) :args (@t226)) % 0.30/0.58 (step @p270 :rule quant-miniscope-or :args ((= @t223 @t226))) % 0.30/0.58 (step @p271 :rule trans :premises (@p270 @p269)) % 0.30/0.58 (step @p272 :rule symm :premises (@p271)) % 0.30/0.58 (step @p273 :rule cong :premises (@p272) :args ((forall @t47 @t230))) % 0.30/0.58 (step @p274 :rule trans :premises (@p273 @p267)) % 0.30/0.58 (step @p275 :rule trans :premises (@p274 @p266)) % 0.30/0.58 (step @p276 :rule beta-reduce :args ((= @t233 @t230))) % 0.30/0.58 (step @p277 :rule cong :premises (@p276) :args (@t234)) % 0.30/0.58 (step @p278 :rule trans :premises (@p277 @p275)) % 0.30/0.58 (step @p279 :rule beta-reduce :args ((= (_ @t103 @t232) @t234))) % 0.30/0.58 (step @p280 :rule trans :premises (@p279 @p278)) % 0.30/0.58 (step @p281 :rule beta-reduce :args ((= @t237 @t231))) % 0.30/0.58 (step @p282 :rule nary_cong :premises (@p54 @p281) :args (@t238)) % 0.30/0.58 (step @p283 :rule cong :premises (@p282) :args (@t239)) % 0.30/0.58 (step @p284 :rule beta-reduce :args ((= (_ @t118 @t236) @t239))) % 0.30/0.58 (step @p285 :rule trans :premises (@p284 @p283)) % 0.30/0.58 (step @p286 :rule aci_norm :args ((= @t241 @t235))) % 0.30/0.58 (step @p287 :rule cong :premises (@p286) :args (@t242)) % 0.30/0.58 (step @p288 :rule quant-merge-prenex :args ((= (forall @t33 @t244) @t242))) % 0.30/0.58 (step @p289 :rule alpha_equiv :args (@t245 (@list @t225) @t247)) % 0.30/0.58 (step @p290 :rule nary_cong :premises (@p63 @p289) :args (@t248)) % 0.30/0.58 (step @p291 :rule quant-miniscope-or :args ((= @t244 @t248))) % 0.30/0.58 (step @p292 :rule trans :premises (@p291 @p290)) % 0.30/0.58 (step @p293 :rule symm :premises (@p292)) % 0.30/0.58 (step @p294 :rule cong :premises (@p293) :args ((forall @t33 (or @t112 @t251)))) % 0.30/0.58 (step @p295 :rule trans :premises (@p294 @p288)) % 0.30/0.58 (step @p296 :rule trans :premises (@p295 @p287)) % 0.30/0.58 (step @p297 :rule beta-reduce :args ((= (_ (lambda @t13 (forall @t250 (or (not (_ @t2 @t12 @t246)) @t249))) @t29) @t251))) % 0.30/0.58 (step @p298 :rule alpha_equiv :args (@t141 @t132 @t247)) % 0.30/0.58 (step @p299 :rule cong :premises (@p298) :args (@t142)) % 0.30/0.58 (step @p300 :rule ho_cong :premises (@p299 @p72)) % 0.30/0.58 (step @p301 :rule trans :premises (@p300 @p297)) % 0.30/0.58 (step @p302 :rule nary_cong :premises (@p77 @p301) :args (@t252)) % 0.30/0.58 (step @p303 :rule cong :premises (@p302) :args (@t253)) % 0.30/0.58 (step @p304 :rule trans :premises (@p303 @p296)) % 0.30/0.58 (step @p305 :rule cong :premises (@p304) :args (@t254)) % 0.30/0.58 (step @p306 :rule beta-reduce :args ((= (_ @t139 @t142) @t254))) % 0.30/0.58 (step @p307 :rule trans :premises (@p306 @p305)) % 0.30/0.58 (step @p308 :rule ho_cong :premises (@p86 @p101)) % 0.30/0.58 (step @p309 :rule trans :premises (@p308 @p307)) % 0.30/0.58 (step @p310 :rule ho_cong :premises (@p104 @p309)) % 0.30/0.58 (step @p311 :rule trans :premises (@p310 @p285)) % 0.30/0.58 (step @p312 :rule ho_cong :premises (@p145 @p311)) % 0.30/0.58 (step @p313 :rule trans :premises (@p312 @p280)) % 0.30/0.58 (step @p314 :rule cong :premises (@p313) :args ((forall @t6 (_ @t103 (_ @t168 (_ @t140 @t167)))))) % 0.30/0.58 (step @p315 :rule trans :premises (@p314 @p264)) % 0.30/0.58 (step @p316 :rule ho_cong :premises (@p170 @p173)) % 0.30/0.58 (step @p317 :rule ho_cong :premises (@p200 @p316)) % 0.30/0.58 (step @p318 :rule ho_cong :premises (@p214 @p317)) % 0.30/0.58 (step @p319 :rule cong :premises (@p318) :args (@t7)) % 0.30/0.58 (step @p320 :rule trans :premises (@p319 @p315)) % 0.30/0.58 (step @p321 :rule eq_resolve :premises (@p1 @p320)) % 0.30/0.58 (step @p322 :rule instantiate :premises (@p321) :args ((@list @t71 @t68 @t180 @t70 @t73))) % 0.30/0.58 (step @p323 :rule cnf_or_pos :args (@t255)) % 0.30/0.58 (step @p324 :rule reordering :premises (@p323) :args ((or @t186 @t76 @t75 @t210 (not @t255)))) % 0.30/0.58 (step @p325 :rule chain_m_resolution :premises (@p324 @p322 @p263 @p227 @p25 @p24) :args (@t77 @t208 (@list @t255 @t197 @t181 @t75 @t74))) % 0.30/0.58 (step @p326 :rule refl :args (@t256)) % 0.30/0.58 (step @p327 :rule bool-double-not-elim :args (@t72)) % 0.30/0.58 (step @p328 :rule nary_cong :premises (@p327 @p326) :args ((or (not @t257) @t256))) % 0.30/0.58 (assume-push @p355 @t257) % 0.30/0.58 (step @p330 :rule skolemize :premises (@p355)) % 0.30/0.58 (step-pop @p356 :rule scope :premises (@p330)) % 0.30/0.58 (step @p331 :rule process_scope :premises (@p356) :args (@t256)) % 0.30/0.58 (step @p333 :rule implies_elim :premises (@p331)) % 0.30/0.58 (step @p334 :rule eq_resolve :premises (@p333 @p328)) % 0.30/0.58 (step @p335 :rule chain_m_resolution :premises (@p334 @p325) :args (@t72 @t211 (@list @t77))) % 0.30/0.58 (step @p336 :rule cnf_or_neg :args (@t194 4)) % 0.30/0.58 (step @p337 :rule chain_m_resolution :premises (@p336 @p220) :args ((not @t183) @t195 @t196)) % 0.30/0.58 (step @p338 :rule bool-double-not-elim :args (@t184)) % 0.30/0.58 (step @p339 :rule nary_cong :premises (@p222 @p338) :args ((or @t194 (not @t185)))) % 0.30/0.58 (step @p340 :rule cnf_or_neg :args (@t194 3)) % 0.30/0.58 (step @p341 :rule eq_resolve :premises (@p340 @p339)) % 0.30/0.58 (step @p342 :rule reordering :premises (@p341) :args ((or @t184 @t194))) % 0.30/0.58 (step @p343 :rule chain_m_resolution :premises (@p342 @p220) :args (@t184 @t195 @t196)) % 0.30/0.58 (step @p344 :rule cnf_or_pos :args (@t258)) % 0.30/0.58 (step @p345 :rule reordering :premises (@p344) :args ((or @t185 @t183 @t259))) % 0.30/0.58 (step @p346 :rule chain_m_resolution :premises (@p345 @p343 @p337) :args (@t259 (@list false true) (@list @t184 @t183))) % 0.30/0.58 (assume-push @p357 @t72) % 0.30/0.58 (step @p348 :rule instantiate :premises (@p357) :args ((@list @t182))) % 0.30/0.58 (step-pop @p358 :rule scope :premises (@p348)) % 0.30/0.58 (step @p349 :rule process_scope :premises (@p358) :args (@t258)) % 0.30/0.58 (step @p351 :rule implies_elim :premises (@p349)) % 0.30/0.58 (step @p352 false :rule chain_m_resolution :premises (@p351 @p346 @p335) :args (false (@list true false) (@list @t258 @t72))) % 0.30/0.58 ) % 0.30/0.58 % SZS output end Proof % 0.30/0.58 % cvc5 exiting %------------------------------------------------------------------------------