%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV031^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:55:20 AM UTC 2026 % Result : Theorem 4.02s 4.25s % Output : Proof 4.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV031^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n005.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 18:09:18 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 4.02/4.25 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 4.02/4.25 % SZS status Theorem % 4.02/4.25 % SZS output start Proof % 4.02/4.25 ( % 4.02/4.25 (declare-sort tptp.a 0) % 4.02/4.25 (declare-sort tptp.b 0) % 4.02/4.25 (define @t1 () (@var "Xz" (-> tptp.a tptp.b))) % 4.02/4.25 (define @t2 () (@var "Xx" (-> tptp.a tptp.b))) % 4.02/4.25 (define @t3 () (@var "Xx0" tptp.a)) % 4.02/4.25 (define @t4 () (@var "Xe" (-> tptp.a (-> tptp.a tptp.b) (-> tptp.a tptp.b) Bool))) % 4.02/4.25 (define @t5 () (_ @t4 @t3)) % 4.02/4.25 (define @t6 () (_ @t5 @t2)) % 4.02/4.25 (define @t7 () (_ @t6 @t1)) % 4.02/4.25 (define @t8 () (@var "Xp" (-> tptp.a Bool))) % 4.02/4.25 (define @t9 () (_ @t8 @t3)) % 4.02/4.25 (define @t10 () (@list @t3)) % 4.02/4.25 (define @t11 () (forall @t10 (=> @t9 @t7))) % 4.02/4.25 (define @t12 () (@var "Xy" (-> tptp.a tptp.b))) % 4.02/4.25 (define @t13 () (_ @t5 @t12)) % 4.02/4.25 (define @t14 () (_ @t13 @t1)) % 4.02/4.25 (define @t15 () (forall @t10 (=> @t9 @t14))) % 4.02/4.25 (define @t16 () (_ @t6 @t12)) % 4.02/4.25 (define @t17 () (forall @t10 (=> @t9 @t16))) % 4.02/4.25 (define @t18 () (and @t17 @t15)) % 4.02/4.25 (define @t19 () (=> @t18 @t11)) % 4.02/4.25 (define @t20 () (@list @t2 @t12 @t1)) % 4.02/4.25 (define @t21 () (forall @t20 @t19)) % 4.02/4.25 (define @t22 () (_ @t13 @t2)) % 4.02/4.25 (define @t23 () (forall @t10 (=> @t9 @t22))) % 4.02/4.25 (define @t24 () (=> @t17 @t23)) % 4.02/4.25 (define @t25 () (@list @t2 @t12)) % 4.02/4.25 (define @t26 () (forall @t25 @t24)) % 4.02/4.25 (define @t27 () (_ @t6 @t2)) % 4.02/4.25 (define @t28 () (@list @t2 @t3)) % 4.02/4.25 (define @t29 () (forall @t28 (=> @t9 @t27))) % 4.02/4.25 (define @t30 () (and @t29 @t26 @t21)) % 4.02/4.25 (define @t31 () (@var "Xx0" (-> tptp.a tptp.b))) % 4.02/4.25 (define @t32 () (@var "Xx" tptp.a)) % 4.02/4.25 (define @t33 () (_ @t4 @t32)) % 4.02/4.25 (define @t34 () (_ @t33 @t31)) % 4.02/4.25 (define @t35 () (_ @t34 @t1)) % 4.02/4.25 (define @t36 () (_ @t33 @t12)) % 4.02/4.25 (define @t37 () (_ @t36 @t1)) % 4.02/4.25 (define @t38 () (_ @t34 @t12)) % 4.02/4.25 (define @t39 () (and @t38 @t37)) % 4.02/4.25 (define @t40 () (@list @t31 @t12 @t1)) % 4.02/4.25 (define @t41 () (forall @t40 (=> @t39 @t35))) % 4.02/4.25 (define @t42 () (_ @t36 @t31)) % 4.02/4.25 (define @t43 () (@list @t31 @t12)) % 4.02/4.25 (define @t44 () (forall @t43 (=> @t38 @t42))) % 4.02/4.25 (define @t45 () (_ @t34 @t31)) % 4.02/4.25 (define @t46 () (@list @t31)) % 4.02/4.25 (define @t47 () (forall @t46 @t45)) % 4.02/4.25 (define @t48 () (and @t47 @t44 @t41)) % 4.02/4.25 (define @t49 () (_ @t8 @t32)) % 4.02/4.25 (define @t50 () (=> @t49 @t48)) % 4.02/4.25 (define @t51 () (@list @t32)) % 4.02/4.25 (define @t52 () (forall @t51 @t50)) % 4.02/4.25 (define @t53 () (=> @t52 @t30)) % 4.02/4.25 (define @t54 () (@list @t8 @t4)) % 4.02/4.25 (define @t55 () (forall @t54 @t53)) % 4.02/4.25 (define @t56 () (not @t55)) % 4.02/4.25 (define @t57 () (@var "BOUND_VARIABLE_7628" (-> tptp.a tptp.b))) % 4.02/4.25 (define @t58 () (@var "BOUND_VARIABLE_7624" (-> tptp.a tptp.b))) % 4.02/4.25 (define @t59 () (@var "BOUND_VARIABLE_7630" tptp.a)) % 4.02/4.25 (define @t60 () (@var "BOUND_VARIABLE_7626" (-> tptp.a tptp.b))) % 4.02/4.25 (define @t61 () (_ @t8 @t3)) % 4.02/4.25 (define @t62 () (not @t61)) % 4.02/4.25 (define @t63 () (or (not (forall @t10 (or @t62 (_ @t4 @t3 @t58 @t60)))) (not (forall @t10 (or @t62 (_ @t4 @t3 @t60 @t57)))) (not (_ @t8 @t59)) (_ @t4 @t59 @t58 @t57))) % 4.02/4.25 (define @t64 () (@var "BOUND_VARIABLE_7610" (-> tptp.a tptp.b))) % 4.02/4.25 (define @t65 () (@var "BOUND_VARIABLE_7612" (-> tptp.a tptp.b))) % 4.02/4.25 (define @t66 () (@var "BOUND_VARIABLE_7614" tptp.a)) % 4.02/4.25 (define @t67 () (or (not (forall @t10 (or @t62 (_ @t4 @t3 @t64 @t65)))) (not (_ @t8 @t66)) (_ @t4 @t66 @t65 @t64))) % 4.02/4.25 (define @t68 () (@var "BOUND_VARIABLE_7602" (-> tptp.a tptp.b))) % 4.02/4.25 (define @t69 () (@var "BOUND_VARIABLE_7604" tptp.a)) % 4.02/4.25 (define @t70 () (or (not (_ @t8 @t69)) (_ @t4 @t69 @t68 @t68))) % 4.02/4.25 (define @t71 () (and @t70 @t67 @t63)) % 4.02/4.25 (define @t72 () (@var "BOUND_VARIABLE_7521" (-> tptp.a tptp.b))) % 4.02/4.25 (define @t73 () (@var "BOUND_VARIABLE_7517" (-> tptp.a tptp.b))) % 4.02/4.25 (define @t74 () (@var "BOUND_VARIABLE_7519" (-> tptp.a tptp.b))) % 4.02/4.25 (define @t75 () (or (not (_ @t4 @t32 @t73 @t74)) (not (_ @t4 @t32 @t74 @t72)) (_ @t4 @t32 @t73 @t72))) % 4.02/4.25 (define @t76 () (@var "BOUND_VARIABLE_7509" (-> tptp.a tptp.b))) % 4.02/4.25 (define @t77 () (@var "BOUND_VARIABLE_7511" (-> tptp.a tptp.b))) % 4.02/4.25 (define @t78 () (or (not (_ @t4 @t32 @t76 @t77)) (_ @t4 @t32 @t77 @t76))) % 4.02/4.25 (define @t79 () (@var "BOUND_VARIABLE_7506" (-> tptp.a tptp.b))) % 4.02/4.25 (define @t80 () (_ @t4 @t32 @t79 @t79)) % 4.02/4.25 (define @t81 () (and @t80 @t78 @t75)) % 4.02/4.25 (define @t82 () (_ @t8 @t32)) % 4.02/4.25 (define @t83 () (not @t82)) % 4.02/4.25 (define @t84 () (or @t83 @t81)) % 4.02/4.25 (define @t85 () (@list @t32 @t79 @t76 @t77 @t73 @t74 @t72)) % 4.02/4.25 (define @t86 () (forall @t85 @t84)) % 4.02/4.25 (define @t87 () (not @t86)) % 4.02/4.25 (define @t88 () (or @t87 @t71)) % 4.02/4.25 (define @t89 () (forall (@list @t8 @t4 @t68 @t69 @t64 @t65 @t66 @t58 @t60 @t57 @t59) @t88)) % 4.02/4.25 (define @t90 () (@quantifiers_skolemize @t89 8)) % 4.02/4.25 (define @t91 () (@quantifiers_skolemize @t89 7)) % 4.02/4.25 (define @t92 () (@quantifiers_skolemize @t89 1)) % 4.02/4.25 (define @t93 () (@quantifiers_skolemize @t89 0)) % 4.02/4.25 (define @t94 () (not (_ @t93 @t3))) % 4.02/4.25 (define @t95 () (forall @t10 (or @t94 (_ @t92 @t3 @t91 @t90)))) % 4.02/4.25 (define @t96 () (@quantifiers_skolemize @t89 9)) % 4.02/4.25 (define @t97 () (@quantifiers_skolemize @t89 10)) % 4.02/4.25 (define @t98 () (_ @t92 @t97 @t91 @t96)) % 4.02/4.25 (define @t99 () (_ @t93 @t97)) % 4.02/4.25 (define @t100 () (not @t99)) % 4.02/4.25 (define @t101 () (forall @t10 (or @t94 (_ @t92 @t3 @t90 @t96)))) % 4.02/4.25 (define @t102 () (not @t101)) % 4.02/4.25 (define @t103 () (not @t95)) % 4.02/4.25 (define @t104 () (or @t103 @t102 @t100 @t98)) % 4.02/4.25 (define @t105 () (@list @t97)) % 4.02/4.25 (define @t106 () (_ @t92 @t97 @t91 @t90)) % 4.02/4.25 (define @t107 () (or @t100 @t106)) % 4.02/4.25 (define @t108 () (_ @t92 @t97 @t90 @t96)) % 4.02/4.25 (define @t109 () (or @t100 @t108)) % 4.02/4.25 (define @t110 () (@list @t68 @t69 @t64 @t65 @t66 @t58 @t60 @t57 @t59)) % 4.02/4.25 (define @t111 () (forall @t110 @t88)) % 4.02/4.25 (define @t112 () (forall (@list @t58 @t60 @t57 @t59) @t63)) % 4.02/4.25 (define @t113 () (@var "BOUND_VARIABLE_7585" tptp.a)) % 4.02/4.25 (define @t114 () (forall @t110 @t63)) % 4.02/4.25 (define @t115 () (forall (@list @t64 @t65 @t66) @t67)) % 4.02/4.25 (define @t116 () (@var "BOUND_VARIABLE_7556" tptp.a)) % 4.02/4.25 (define @t117 () (forall @t110 @t67)) % 4.02/4.25 (define @t118 () (forall (@list @t68 @t69) @t70)) % 4.02/4.25 (define @t119 () (forall @t110 @t70)) % 4.02/4.25 (define @t120 () (and @t119 @t117 @t114)) % 4.02/4.25 (define @t121 () (forall @t110 @t71)) % 4.02/4.25 (define @t122 () (or @t87 @t121)) % 4.02/4.25 (define @t123 () (_ @t4 @t113 @t2 @t1)) % 4.02/4.25 (define @t124 () (not (_ @t8 @t113))) % 4.02/4.25 (define @t125 () (_ @t4 @t3 @t12 @t1)) % 4.02/4.25 (define @t126 () (forall @t10 (or @t62 @t125))) % 4.02/4.25 (define @t127 () (not @t126)) % 4.02/4.25 (define @t128 () (_ @t4 @t3 @t2 @t12)) % 4.02/4.25 (define @t129 () (forall @t10 (or @t62 @t128))) % 4.02/4.25 (define @t130 () (not @t129)) % 4.02/4.25 (define @t131 () (or @t130 @t127 @t124 @t123)) % 4.02/4.25 (define @t132 () (@list @t2 @t12 @t1 @t113)) % 4.02/4.25 (define @t133 () (_ @t4 @t116 @t12 @t2)) % 4.02/4.25 (define @t134 () (not (_ @t8 @t116))) % 4.02/4.25 (define @t135 () (or @t130 @t134 @t133)) % 4.02/4.25 (define @t136 () (@list @t2 @t12 @t116)) % 4.02/4.25 (define @t137 () (_ @t4 @t3 @t2 @t2)) % 4.02/4.25 (define @t138 () (and (forall @t28 (or @t62 @t137)) (forall @t136 @t135) (forall @t132 @t131))) % 4.02/4.25 (define @t139 () (or @t124 @t123)) % 4.02/4.25 (define @t140 () (or @t130 @t127 @t139)) % 4.02/4.25 (define @t141 () (forall @t132 @t140)) % 4.02/4.25 (define @t142 () (@list @t113)) % 4.02/4.25 (define @t143 () (forall @t142 @t140)) % 4.02/4.25 (define @t144 () (forall @t142 @t139)) % 4.02/4.25 (define @t145 () (@list @t3)) % 4.02/4.25 (define @t146 () (or @t130 @t127 @t144)) % 4.02/4.25 (define @t147 () (_ @t4 @t3 @t2 @t1)) % 4.02/4.25 (define @t148 () (forall @t10 (or @t62 @t147))) % 4.02/4.25 (define @t149 () (or @t130 @t127 @t148)) % 4.02/4.25 (define @t150 () (and @t129 @t126)) % 4.02/4.25 (define @t151 () (not @t9)) % 4.02/4.25 (define @t152 () (or @t151 @t7)) % 4.02/4.25 (define @t153 () (or @t151 @t14)) % 4.02/4.25 (define @t154 () (or @t151 @t16)) % 4.02/4.25 (define @t155 () (or @t134 @t133)) % 4.02/4.25 (define @t156 () (or @t130 @t155)) % 4.02/4.25 (define @t157 () (forall @t136 @t156)) % 4.02/4.25 (define @t158 () (@list @t116)) % 4.02/4.25 (define @t159 () (forall @t158 @t156)) % 4.02/4.25 (define @t160 () (forall @t158 @t155)) % 4.02/4.25 (define @t161 () (or @t130 @t160)) % 4.02/4.25 (define @t162 () (_ @t4 @t3 @t12 @t2)) % 4.02/4.25 (define @t163 () (forall @t10 (or @t62 @t162))) % 4.02/4.25 (define @t164 () (or @t151 @t22)) % 4.02/4.25 (define @t165 () (or @t151 @t27)) % 4.02/4.25 (define @t166 () (@list @t79 @t76 @t77 @t73 @t74 @t72)) % 4.02/4.25 (define @t167 () (forall @t166 @t84)) % 4.02/4.25 (define @t168 () (forall (@list @t73 @t74 @t72) @t75)) % 4.02/4.25 (define @t169 () (forall @t166 @t75)) % 4.02/4.25 (define @t170 () (forall (@list @t76 @t77) @t78)) % 4.02/4.25 (define @t171 () (forall @t166 @t78)) % 4.02/4.25 (define @t172 () (forall (@list @t79) @t80)) % 4.02/4.25 (define @t173 () (forall @t166 @t80)) % 4.02/4.25 (define @t174 () (and @t173 @t171 @t169)) % 4.02/4.25 (define @t175 () (forall @t166 @t81)) % 4.02/4.25 (define @t176 () (or @t83 @t175)) % 4.02/4.25 (define @t177 () (_ @t4 @t32 @t31 @t1)) % 4.02/4.25 (define @t178 () (_ @t4 @t32 @t12 @t1)) % 4.02/4.25 (define @t179 () (_ @t4 @t32 @t31 @t12)) % 4.02/4.25 (define @t180 () (not @t179)) % 4.02/4.25 (define @t181 () (_ @t4 @t32 @t12 @t31)) % 4.02/4.25 (define @t182 () (_ @t4 @t32 @t31 @t31)) % 4.02/4.25 (define @t183 () (and (forall @t46 @t182) (forall @t43 (or @t180 @t181)) (forall @t40 (or @t180 (not @t178) @t177)))) % 4.02/4.25 (define @t184 () (not @t49)) % 4.02/4.25 (define @t185 () (or @t184 @t183)) % 4.02/4.25 (define @t186 () (not @t37)) % 4.02/4.25 (define @t187 () (not @t38)) % 4.02/4.25 (define @t188 () (or @t187 @t186 @t35)) % 4.02/4.25 (define @t189 () (or @t187 @t42)) % 4.02/4.25 (define @t190 () (forall @t85 (or (not (_ @t93 @t32)) (and (_ @t92 @t32 @t79 @t79) (or (not (_ @t92 @t32 @t76 @t77)) (_ @t92 @t32 @t77 @t76)) (or (not (_ @t92 @t32 @t73 @t74)) (not (_ @t92 @t32 @t74 @t72)) (_ @t92 @t32 @t73 @t72)))))) % 4.02/4.25 (define @t191 () (@quantifiers_skolemize @t89 4)) % 4.02/4.25 (define @t192 () (@quantifiers_skolemize @t89 5)) % 4.02/4.25 (define @t193 () (@quantifiers_skolemize @t89 6)) % 4.02/4.25 (define @t194 () (_ @t92 @t193 @t192 @t191)) % 4.02/4.25 (define @t195 () (_ @t93 @t193)) % 4.02/4.25 (define @t196 () (not @t195)) % 4.02/4.25 (define @t197 () (forall @t10 (or @t94 (_ @t92 @t3 @t191 @t192)))) % 4.02/4.25 (define @t198 () (not @t197)) % 4.02/4.25 (define @t199 () (or @t198 @t196 @t194)) % 4.02/4.25 (define @t200 () (@quantifiers_skolemize @t89 2)) % 4.02/4.25 (define @t201 () (@quantifiers_skolemize @t89 3)) % 4.02/4.25 (define @t202 () (_ @t92 @t201 @t200 @t200)) % 4.02/4.25 (define @t203 () (_ @t93 @t201)) % 4.02/4.25 (define @t204 () (not @t203)) % 4.02/4.25 (define @t205 () (or @t204 @t202)) % 4.02/4.25 (define @t206 () (and @t205 @t199 @t104)) % 4.02/4.25 (define @t207 () (not @t190)) % 4.02/4.25 (define @t208 () (or @t207 @t206)) % 4.02/4.25 (define @t209 () (@list true)) % 4.02/4.25 (define @t210 () (@list @t208)) % 4.02/4.25 (define @t211 () (not @t108)) % 4.02/4.25 (define @t212 () (not @t106)) % 4.02/4.25 (define @t213 () (or @t212 @t211 @t98)) % 4.02/4.25 (define @t214 () (_ @t92 @t97 @t192 @t192)) % 4.02/4.25 (define @t215 () (and @t214 (or (not @t214) @t214) @t213)) % 4.02/4.25 (define @t216 () (or @t100 @t215)) % 4.02/4.25 (define @t217 () (_ @t92 @t193 @t191 @t192)) % 4.02/4.25 (define @t218 () (or @t196 @t217)) % 4.02/4.25 (define @t219 () (_ @t92 @t193 @t191 @t191)) % 4.02/4.25 (define @t220 () (not @t219)) % 4.02/4.25 (define @t221 () (not @t217)) % 4.02/4.25 (define @t222 () (or @t221 @t194)) % 4.02/4.25 (define @t223 () (and @t219 @t222 (or @t220 @t220 @t219))) % 4.02/4.25 (define @t224 () (or @t196 @t223)) % 4.02/4.25 (define @t225 () (not @t202)) % 4.02/4.25 (define @t226 () (@list @t205)) % 4.02/4.25 (define @t227 () (and @t202 (or @t225 @t202) (or @t225 @t225 @t202))) % 4.02/4.25 (define @t228 () (or @t204 @t227)) % 4.02/4.25 (assume @p1 @t56) % 4.02/4.25 (assume @p2 true) % 4.02/4.25 (step @p3 :rule bool-double-not-elim :args (@t95)) % 4.02/4.25 (step @p4 :rule refl :args (@t104)) % 4.02/4.25 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t104 (not @t103)))) % 4.02/4.25 (step @p6 :rule cnf_or_neg :args (@t104 0)) % 4.02/4.25 (step @p7 :rule eq_resolve :premises (@p6 @p5)) % 4.02/4.25 (step @p8 :rule reordering :premises (@p7) :args ((or @t95 @t104))) % 4.02/4.25 (step @p9 :rule bool-double-not-elim :args (@t101)) % 4.02/4.25 (step @p10 :rule nary_cong :premises (@p4 @p9) :args ((or @t104 (not @t102)))) % 4.02/4.25 (step @p11 :rule cnf_or_neg :args (@t104 1)) % 4.02/4.25 (step @p12 :rule eq_resolve :premises (@p11 @p10)) % 4.02/4.25 (step @p13 :rule reordering :premises (@p12) :args ((or @t101 @t104))) % 4.02/4.25 (step @p14 :rule bool-double-not-elim :args (@t99)) % 4.02/4.25 (step @p15 :rule nary_cong :premises (@p4 @p14) :args ((or @t104 (not @t100)))) % 4.02/4.25 (step @p16 :rule cnf_or_neg :args (@t104 2)) % 4.02/4.25 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 4.02/4.25 (step @p18 :rule reordering :premises (@p17) :args ((or @t99 @t104))) % 4.02/4.25 (step @p19 :rule cnf_or_neg :args (@t104 3)) % 4.02/4.25 (assume-push @p306 @t95) % 4.02/4.25 (step @p21 :rule instantiate :premises (@p306) :args (@t105)) % 4.02/4.25 (step-pop @p307 :rule scope :premises (@p21)) % 4.02/4.25 (step @p22 :rule process_scope :premises (@p307) :args (@t107)) % 4.02/4.25 (step @p24 :rule implies_elim :premises (@p22)) % 4.02/4.25 (assume-push @p308 @t101) % 4.02/4.25 (step @p26 :rule instantiate :premises (@p308) :args (@t105)) % 4.02/4.25 (step-pop @p309 :rule scope :premises (@p26)) % 4.02/4.25 (step @p27 :rule process_scope :premises (@p309) :args (@t109)) % 4.02/4.25 (step @p29 :rule implies_elim :premises (@p27)) % 4.02/4.25 (step @p30 :rule quant-merge-prenex :args ((= (forall @t54 @t111) @t89))) % 4.02/4.25 (step @p31 :rule alpha_equiv :args (@t112 (@list @t58 @t60 @t57 @t59) (@list @t2 @t12 @t1 @t113))) % 4.02/4.25 (step @p32 :rule quant-unused-vars :args ((= @t114 @t112))) % 4.02/4.25 (step @p33 :rule trans :premises (@p32 @p31)) % 4.02/4.25 (step @p34 :rule alpha_equiv :args (@t115 (@list @t64 @t65 @t66) (@list @t2 @t12 @t116))) % 4.02/4.25 (step @p35 :rule quant-unused-vars :args ((= @t117 @t115))) % 4.02/4.25 (step @p36 :rule trans :premises (@p35 @p34)) % 4.02/4.25 (step @p37 :rule alpha_equiv :args (@t118 (@list @t68 @t69) (@list @t2 @t3))) % 4.02/4.25 (step @p38 :rule quant-unused-vars :args ((= @t119 @t118))) % 4.02/4.25 (step @p39 :rule trans :premises (@p38 @p37)) % 4.02/4.25 (step @p40 :rule nary_cong :premises (@p39 @p36 @p33) :args (@t120)) % 4.02/4.25 (step @p41 :rule quant-miniscope-and :args ((= @t121 @t120))) % 4.02/4.25 (step @p42 :rule trans :premises (@p41 @p40)) % 4.02/4.25 (step @p43 :rule refl :args (@t87)) % 4.02/4.25 (step @p44 :rule nary_cong :premises (@p43 @p42) :args (@t122)) % 4.02/4.25 (step @p45 :rule quant-miniscope-or :args ((= @t111 @t122))) % 4.02/4.25 (step @p46 :rule trans :premises (@p45 @p44)) % 4.02/4.25 (step @p47 :rule symm :premises (@p46)) % 4.02/4.25 (step @p48 :rule cong :premises (@p47) :args ((forall @t54 (or @t87 @t138)))) % 4.02/4.25 (step @p49 :rule trans :premises (@p48 @p30)) % 4.02/4.25 (step @p50 :rule bool-impl-elim :args (@t86 @t138)) % 4.02/4.25 (step @p51 :rule cong :premises (@p50) :args ((forall @t54 (=> @t86 @t138)))) % 4.02/4.25 (step @p52 :rule trans :premises (@p51 @p49)) % 4.02/4.25 (step @p53 :rule aci_norm :args ((= @t140 @t131))) % 4.02/4.25 (step @p54 :rule cong :premises (@p53) :args (@t141)) % 4.02/4.25 (step @p55 :rule quant-merge-prenex :args ((= (forall @t20 @t143) @t141))) % 4.02/4.25 (step @p56 :rule alpha_equiv :args (@t144 (@list @t113) @t145)) % 4.02/4.25 (step @p57 :rule refl :args (@t127)) % 4.02/4.25 (step @p58 :rule refl :args (@t130)) % 4.02/4.25 (step @p59 :rule nary_cong :premises (@p58 @p57 @p56) :args (@t146)) % 4.02/4.25 (step @p60 :rule quant-miniscope-or :args ((= @t143 @t146))) % 4.02/4.25 (step @p61 :rule trans :premises (@p60 @p59)) % 4.02/4.25 (step @p62 :rule symm :premises (@p61)) % 4.02/4.25 (step @p63 :rule cong :premises (@p62) :args ((forall @t20 @t149))) % 4.02/4.25 (step @p64 :rule trans :premises (@p63 @p55)) % 4.02/4.25 (step @p65 :rule trans :premises (@p64 @p54)) % 4.02/4.25 (step @p66 :rule aci_norm :args ((= (or (or @t130 @t127) @t148) @t149))) % 4.02/4.25 (step @p67 :rule refl :args (@t148)) % 4.02/4.25 (step @p68 :rule bool-and-de-morgan :args (@t129 @t126 true)) % 4.02/4.25 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or (not @t150) @t148))) % 4.02/4.25 (step @p70 :rule trans :premises (@p69 @p66)) % 4.02/4.25 (step @p71 :rule bool-impl-elim :args (@t150 @t148)) % 4.02/4.25 (step @p72 :rule trans :premises (@p71 @p70)) % 4.02/4.25 (step @p73 :rule cong :premises (@p72) :args ((forall @t20 (=> @t150 @t148)))) % 4.02/4.25 (step @p74 :rule trans :premises (@p73 @p65)) % 4.02/4.25 (step @p75 :rule refl :args (@t147)) % 4.02/4.25 (step @p76 :rule refl :args (@t7)) % 4.02/4.25 (step @p77 :rule cong :premises (@p76 @p75) :args ((= @t7 @t147))) % 4.02/4.25 (step @p78 :rule symm :premises (@p77)) % 4.02/4.25 (step @p79 :rule eq_resolve :premises (@p76 @p78)) % 4.02/4.25 (step @p80 :rule refl :args (@t61)) % 4.02/4.25 (step @p81 :rule refl :args (@t9)) % 4.02/4.25 (step @p82 :rule cong :premises (@p81 @p80) :args ((= @t9 @t61))) % 4.02/4.25 (step @p83 :rule symm :premises (@p82)) % 4.02/4.25 (step @p84 :rule eq_resolve :premises (@p81 @p83)) % 4.02/4.25 (step @p85 :rule cong :premises (@p84) :args (@t151)) % 4.02/4.25 (step @p86 :rule nary_cong :premises (@p85 @p79) :args (@t152)) % 4.02/4.25 (step @p87 :rule cong :premises (@p86) :args ((forall @t10 @t152))) % 4.02/4.25 (step @p88 :rule bool-impl-elim :args (@t9 @t7)) % 4.02/4.25 (step @p89 :rule cong :premises (@p88) :args (@t11)) % 4.02/4.25 (step @p90 :rule trans :premises (@p89 @p87)) % 4.02/4.25 (step @p91 :rule refl :args (@t125)) % 4.02/4.25 (step @p92 :rule refl :args (@t14)) % 4.02/4.25 (step @p93 :rule cong :premises (@p92 @p91) :args ((= @t14 @t125))) % 4.02/4.25 (step @p94 :rule symm :premises (@p93)) % 4.02/4.25 (step @p95 :rule eq_resolve :premises (@p92 @p94)) % 4.02/4.25 (step @p96 :rule nary_cong :premises (@p85 @p95) :args (@t153)) % 4.02/4.25 (step @p97 :rule cong :premises (@p96) :args ((forall @t10 @t153))) % 4.02/4.25 (step @p98 :rule bool-impl-elim :args (@t9 @t14)) % 4.02/4.25 (step @p99 :rule cong :premises (@p98) :args (@t15)) % 4.02/4.25 (step @p100 :rule trans :premises (@p99 @p97)) % 4.02/4.25 (step @p101 :rule refl :args (@t128)) % 4.02/4.25 (step @p102 :rule refl :args (@t16)) % 4.02/4.25 (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t16 @t128))) % 4.02/4.25 (step @p104 :rule symm :premises (@p103)) % 4.02/4.25 (step @p105 :rule eq_resolve :premises (@p102 @p104)) % 4.02/4.25 (step @p106 :rule nary_cong :premises (@p85 @p105) :args (@t154)) % 4.02/4.25 (step @p107 :rule cong :premises (@p106) :args ((forall @t10 @t154))) % 4.02/4.25 (step @p108 :rule bool-impl-elim :args (@t9 @t16)) % 4.02/4.25 (step @p109 :rule cong :premises (@p108) :args (@t17)) % 4.02/4.25 (step @p110 :rule trans :premises (@p109 @p107)) % 4.02/4.25 (step @p111 :rule nary_cong :premises (@p110 @p100) :args (@t18)) % 4.02/4.25 (step @p112 :rule cong :premises (@p111 @p90) :args (@t19)) % 4.02/4.25 (step @p113 :rule cong :premises (@p112) :args (@t21)) % 4.02/4.25 (step @p114 :rule trans :premises (@p113 @p74)) % 4.02/4.25 (step @p115 :rule aci_norm :args ((= @t156 @t135))) % 4.02/4.25 (step @p116 :rule cong :premises (@p115) :args (@t157)) % 4.02/4.25 (step @p117 :rule quant-merge-prenex :args ((= (forall @t25 @t159) @t157))) % 4.02/4.25 (step @p118 :rule alpha_equiv :args (@t160 (@list @t116) @t145)) % 4.02/4.25 (step @p119 :rule nary_cong :premises (@p58 @p118) :args (@t161)) % 4.02/4.25 (step @p120 :rule quant-miniscope-or :args ((= @t159 @t161))) % 4.02/4.25 (step @p121 :rule trans :premises (@p120 @p119)) % 4.02/4.25 (step @p122 :rule symm :premises (@p121)) % 4.02/4.25 (step @p123 :rule cong :premises (@p122) :args ((forall @t25 (or @t130 @t163)))) % 4.02/4.25 (step @p124 :rule trans :premises (@p123 @p117)) % 4.02/4.25 (step @p125 :rule trans :premises (@p124 @p116)) % 4.02/4.25 (step @p126 :rule bool-impl-elim :args (@t129 @t163)) % 4.02/4.25 (step @p127 :rule cong :premises (@p126) :args ((forall @t25 (=> @t129 @t163)))) % 4.02/4.25 (step @p128 :rule trans :premises (@p127 @p125)) % 4.02/4.25 (step @p129 :rule refl :args (@t162)) % 4.02/4.25 (step @p130 :rule refl :args (@t22)) % 4.02/4.25 (step @p131 :rule cong :premises (@p130 @p129) :args ((= @t22 @t162))) % 4.02/4.25 (step @p132 :rule symm :premises (@p131)) % 4.02/4.25 (step @p133 :rule eq_resolve :premises (@p130 @p132)) % 4.02/4.25 (step @p134 :rule nary_cong :premises (@p85 @p133) :args (@t164)) % 4.02/4.25 (step @p135 :rule cong :premises (@p134) :args ((forall @t10 @t164))) % 4.02/4.25 (step @p136 :rule bool-impl-elim :args (@t9 @t22)) % 4.02/4.25 (step @p137 :rule cong :premises (@p136) :args (@t23)) % 4.02/4.25 (step @p138 :rule trans :premises (@p137 @p135)) % 4.02/4.25 (step @p139 :rule cong :premises (@p110 @p138) :args (@t24)) % 4.02/4.25 (step @p140 :rule cong :premises (@p139) :args (@t26)) % 4.02/4.25 (step @p141 :rule trans :premises (@p140 @p128)) % 4.02/4.25 (step @p142 :rule refl :args (@t137)) % 4.02/4.25 (step @p143 :rule refl :args (@t27)) % 4.02/4.25 (step @p144 :rule cong :premises (@p143 @p142) :args ((= @t27 @t137))) % 4.02/4.25 (step @p145 :rule symm :premises (@p144)) % 4.02/4.25 (step @p146 :rule eq_resolve :premises (@p143 @p145)) % 4.02/4.25 (step @p147 :rule nary_cong :premises (@p85 @p146) :args (@t165)) % 4.02/4.25 (step @p148 :rule cong :premises (@p147) :args ((forall @t28 @t165))) % 4.02/4.25 (step @p149 :rule bool-impl-elim :args (@t9 @t27)) % 4.02/4.25 (step @p150 :rule cong :premises (@p149) :args (@t29)) % 4.02/4.25 (step @p151 :rule trans :premises (@p150 @p148)) % 4.02/4.25 (step @p152 :rule nary_cong :premises (@p151 @p141 @p114) :args (@t30)) % 4.02/4.25 (step @p153 :rule quant-merge-prenex :args ((= (forall @t51 @t167) @t86))) % 4.02/4.25 (step @p154 :rule alpha_equiv :args (@t168 (@list @t73 @t74 @t72) (@list @t31 @t12 @t1))) % 4.02/4.25 (step @p155 :rule quant-unused-vars :args ((= @t169 @t168))) % 4.02/4.25 (step @p156 :rule trans :premises (@p155 @p154)) % 4.02/4.25 (step @p157 :rule alpha_equiv :args (@t170 (@list @t76 @t77) (@list @t31 @t12))) % 4.02/4.25 (step @p158 :rule quant-unused-vars :args ((= @t171 @t170))) % 4.02/4.25 (step @p159 :rule trans :premises (@p158 @p157)) % 4.02/4.25 (step @p160 :rule alpha_equiv :args (@t172 (@list @t79) (@list @t31))) % 4.02/4.25 (step @p161 :rule quant-unused-vars :args ((= @t173 @t172))) % 4.02/4.25 (step @p162 :rule trans :premises (@p161 @p160)) % 4.02/4.25 (step @p163 :rule nary_cong :premises (@p162 @p159 @p156) :args (@t174)) % 4.02/4.25 (step @p164 :rule quant-miniscope-and :args ((= @t175 @t174))) % 4.02/4.25 (step @p165 :rule trans :premises (@p164 @p163)) % 4.02/4.25 (step @p166 :rule refl :args (@t83)) % 4.02/4.25 (step @p167 :rule nary_cong :premises (@p166 @p165) :args (@t176)) % 4.02/4.25 (step @p168 :rule quant-miniscope-or :args ((= @t167 @t176))) % 4.02/4.25 (step @p169 :rule trans :premises (@p168 @p167)) % 4.02/4.25 (step @p170 :rule symm :premises (@p169)) % 4.02/4.25 (step @p171 :rule cong :premises (@p170) :args ((forall @t51 (or @t83 @t183)))) % 4.02/4.25 (step @p172 :rule trans :premises (@p171 @p153)) % 4.02/4.25 (step @p173 :rule refl :args (@t183)) % 4.02/4.25 (step @p174 :rule refl :args (@t82)) % 4.02/4.25 (step @p175 :rule refl :args (@t49)) % 4.02/4.25 (step @p176 :rule cong :premises (@p175 @p174) :args ((= @t49 @t82))) % 4.02/4.25 (step @p177 :rule symm :premises (@p176)) % 4.02/4.25 (step @p178 :rule eq_resolve :premises (@p175 @p177)) % 4.02/4.25 (step @p179 :rule cong :premises (@p178) :args (@t184)) % 4.02/4.25 (step @p180 :rule nary_cong :premises (@p179 @p173) :args (@t185)) % 4.02/4.25 (step @p181 :rule cong :premises (@p180) :args ((forall @t51 @t185))) % 4.02/4.25 (step @p182 :rule trans :premises (@p181 @p172)) % 4.02/4.25 (step @p183 :rule bool-impl-elim :args (@t49 @t183)) % 4.02/4.25 (step @p184 :rule cong :premises (@p183) :args ((forall @t51 (=> @t49 @t183)))) % 4.02/4.25 (step @p185 :rule trans :premises (@p184 @p182)) % 4.02/4.25 (step @p186 :rule refl :args (@t177)) % 4.02/4.25 (step @p187 :rule refl :args (@t35)) % 4.02/4.25 (step @p188 :rule cong :premises (@p187 @p186) :args ((= @t35 @t177))) % 4.02/4.25 (step @p189 :rule symm :premises (@p188)) % 4.02/4.25 (step @p190 :rule eq_resolve :premises (@p187 @p189)) % 4.02/4.25 (step @p191 :rule refl :args (@t178)) % 4.02/4.25 (step @p192 :rule refl :args (@t37)) % 4.02/4.25 (step @p193 :rule cong :premises (@p192 @p191) :args ((= @t37 @t178))) % 4.02/4.25 (step @p194 :rule symm :premises (@p193)) % 4.02/4.25 (step @p195 :rule eq_resolve :premises (@p192 @p194)) % 4.02/4.25 (step @p196 :rule cong :premises (@p195) :args (@t186)) % 4.02/4.25 (step @p197 :rule refl :args (@t179)) % 4.02/4.25 (step @p198 :rule refl :args (@t38)) % 4.02/4.25 (step @p199 :rule cong :premises (@p198 @p197) :args ((= @t38 @t179))) % 4.02/4.25 (step @p200 :rule symm :premises (@p199)) % 4.02/4.25 (step @p201 :rule eq_resolve :premises (@p198 @p200)) % 4.02/4.25 (step @p202 :rule cong :premises (@p201) :args (@t187)) % 4.02/4.25 (step @p203 :rule nary_cong :premises (@p202 @p196 @p190) :args (@t188)) % 4.02/4.25 (step @p204 :rule cong :premises (@p203) :args ((forall @t40 @t188))) % 4.02/4.25 (step @p205 :rule aci_norm :args ((= (or (or @t187 @t186) @t35) @t188))) % 4.02/4.25 (step @p206 :rule bool-and-de-morgan :args (@t38 @t37 true)) % 4.02/4.25 (step @p207 :rule nary_cong :premises (@p206 @p187) :args ((or (not @t39) @t35))) % 4.02/4.25 (step @p208 :rule trans :premises (@p207 @p205)) % 4.02/4.25 (step @p209 :rule bool-impl-elim :args (@t39 @t35)) % 4.02/4.25 (step @p210 :rule trans :premises (@p209 @p208)) % 4.02/4.25 (step @p211 :rule cong :premises (@p210) :args (@t41)) % 4.02/4.25 (step @p212 :rule trans :premises (@p211 @p204)) % 4.02/4.25 (step @p213 :rule refl :args (@t181)) % 4.02/4.25 (step @p214 :rule refl :args (@t42)) % 4.02/4.25 (step @p215 :rule cong :premises (@p214 @p213) :args ((= @t42 @t181))) % 4.02/4.25 (step @p216 :rule symm :premises (@p215)) % 4.02/4.25 (step @p217 :rule eq_resolve :premises (@p214 @p216)) % 4.02/4.25 (step @p218 :rule nary_cong :premises (@p202 @p217) :args (@t189)) % 4.02/4.25 (step @p219 :rule cong :premises (@p218) :args ((forall @t43 @t189))) % 4.02/4.25 (step @p220 :rule bool-impl-elim :args (@t38 @t42)) % 4.02/4.25 (step @p221 :rule cong :premises (@p220) :args (@t44)) % 4.02/4.25 (step @p222 :rule trans :premises (@p221 @p219)) % 4.02/4.25 (step @p223 :rule refl :args (@t182)) % 4.02/4.25 (step @p224 :rule refl :args (@t45)) % 4.02/4.25 (step @p225 :rule cong :premises (@p224 @p223) :args ((= @t45 @t182))) % 4.02/4.25 (step @p226 :rule symm :premises (@p225)) % 4.02/4.25 (step @p227 :rule eq_resolve :premises (@p224 @p226)) % 4.02/4.25 (step @p228 :rule cong :premises (@p227) :args (@t47)) % 4.02/4.25 (step @p229 :rule nary_cong :premises (@p228 @p222 @p212) :args (@t48)) % 4.02/4.25 (step @p230 :rule refl :args (@t49)) % 4.02/4.25 (step @p231 :rule cong :premises (@p230 @p229) :args (@t50)) % 4.02/4.25 (step @p232 :rule cong :premises (@p231) :args (@t52)) % 4.02/4.25 (step @p233 :rule trans :premises (@p232 @p185)) % 4.02/4.25 (step @p234 :rule cong :premises (@p233 @p152) :args (@t53)) % 4.02/4.25 (step @p235 :rule cong :premises (@p234) :args (@t55)) % 4.02/4.25 (step @p236 :rule trans :premises (@p235 @p52)) % 4.02/4.25 (step @p237 :rule cong :premises (@p236) :args (@t56)) % 4.02/4.25 (step @p238 :rule eq_resolve :premises (@p1 @p237)) % 4.02/4.25 (step @p239 :rule skolemize :premises (@p238)) % 4.02/4.25 (step @p240 :rule bool-double-not-elim :args (@t190)) % 4.02/4.25 (step @p241 :rule refl :args (@t208)) % 4.02/4.25 (step @p242 :rule nary_cong :premises (@p241 @p240) :args ((or @t208 (not @t207)))) % 4.02/4.25 (step @p243 :rule cnf_or_neg :args (@t208 0)) % 4.02/4.25 (step @p244 :rule eq_resolve :premises (@p243 @p242)) % 4.02/4.25 (step @p245 :rule reordering :premises (@p244) :args ((or @t190 @t208))) % 4.02/4.25 (step @p246 :rule chain_m_resolution :premises (@p245 @p239) :args (@t190 @t209 @t210)) % 4.02/4.25 (step @p247 :rule instantiate :premises (@p246) :args ((@list @t97 @t192 @t192 @t192 @t91 @t90 @t96))) % 4.02/4.25 (step @p248 :rule cnf_or_pos :args (@t216)) % 4.02/4.25 (step @p249 :rule reordering :premises (@p248) :args ((or @t100 @t215 (not @t216)))) % 4.02/4.25 (step @p250 :rule cnf_or_pos :args (@t107)) % 4.02/4.25 (step @p251 :rule reordering :premises (@p250) :args ((or @t100 @t106 (not @t107)))) % 4.02/4.25 (step @p252 :rule cnf_or_pos :args (@t109)) % 4.02/4.25 (step @p253 :rule reordering :premises (@p252) :args ((or @t100 @t108 (not @t109)))) % 4.02/4.25 (step @p254 :rule cnf_and_pos :args (@t215 2)) % 4.02/4.25 (step @p255 :rule reordering :premises (@p254) :args ((or @t213 (not @t215)))) % 4.02/4.25 (step @p256 :rule cnf_or_pos :args (@t213)) % 4.02/4.25 (step @p257 :rule reordering :premises (@p256) :args ((or @t98 @t212 @t211 (not @t213)))) % 4.02/4.25 (step @p258 :rule chain_m_resolution :premises (@p257 @p255 @p253 @p251 @p249 @p247 @p29 @p24 @p19 @p18 @p13 @p8) :args (@t104 (@list false false false false false false false true false false false) (@list @t213 @t108 @t106 @t215 @t216 @t109 @t107 @t98 @t99 @t101 @t95))) % 4.02/4.25 (step @p259 :rule bool-double-not-elim :args (@t197)) % 4.02/4.25 (step @p260 :rule refl :args (@t199)) % 4.02/4.25 (step @p261 :rule nary_cong :premises (@p260 @p259) :args ((or @t199 (not @t198)))) % 4.02/4.25 (step @p262 :rule cnf_or_neg :args (@t199 0)) % 4.02/4.25 (step @p263 :rule eq_resolve :premises (@p262 @p261)) % 4.02/4.25 (step @p264 :rule reordering :premises (@p263) :args ((or @t197 @t199))) % 4.02/4.25 (step @p265 :rule bool-double-not-elim :args (@t195)) % 4.02/4.25 (step @p266 :rule nary_cong :premises (@p260 @p265) :args ((or @t199 (not @t196)))) % 4.02/4.25 (step @p267 :rule cnf_or_neg :args (@t199 1)) % 4.02/4.25 (step @p268 :rule eq_resolve :premises (@p267 @p266)) % 4.02/4.25 (step @p269 :rule reordering :premises (@p268) :args ((or @t195 @t199))) % 4.02/4.25 (step @p270 :rule cnf_or_neg :args (@t199 2)) % 4.02/4.25 (assume-push @p310 @t197) % 4.02/4.25 (step @p272 :rule instantiate :premises (@p310) :args ((@list @t193))) % 4.02/4.25 (step-pop @p311 :rule scope :premises (@p272)) % 4.02/4.25 (step @p273 :rule process_scope :premises (@p311) :args (@t218)) % 4.02/4.25 (step @p275 :rule implies_elim :premises (@p273)) % 4.02/4.25 (step @p276 :rule cnf_or_pos :args (@t218)) % 4.02/4.25 (step @p277 :rule reordering :premises (@p276) :args ((or @t196 @t217 (not @t218)))) % 4.02/4.25 (step @p278 :rule instantiate :premises (@p246) :args ((@list @t193 @t191 @t191 @t192 @t191 @t191 @t191))) % 4.02/4.25 (step @p279 :rule cnf_or_pos :args (@t224)) % 4.02/4.25 (step @p280 :rule reordering :premises (@p279) :args ((or @t196 @t223 (not @t224)))) % 4.02/4.25 (step @p281 :rule cnf_or_pos :args (@t222)) % 4.02/4.25 (step @p282 :rule reordering :premises (@p281) :args ((or @t194 @t221 (not @t222)))) % 4.02/4.25 (step @p283 :rule cnf_and_pos :args (@t223 1)) % 4.02/4.25 (step @p284 :rule reordering :premises (@p283) :args ((or @t222 (not @t223)))) % 4.02/4.25 (step @p285 :rule chain_m_resolution :premises (@p284 @p282 @p280 @p278 @p277 @p275 @p270 @p269 @p264) :args (@t199 (@list true false false false false true false false) (@list @t222 @t223 @t224 @t217 @t218 @t194 @t195 @t197))) % 4.02/4.25 (step @p286 :rule cnf_or_neg :args (@t208 1)) % 4.02/4.25 (step @p287 :rule chain_m_resolution :premises (@p286 @p239) :args ((not @t206) @t209 @t210)) % 4.02/4.25 (step @p288 :rule cnf_and_neg :args (@t206)) % 4.02/4.25 (step @p289 :rule chain_m_resolution :premises (@p288 @p287 @p285 @p258) :args ((not @t205) (@list true false false) (@list @t206 @t199 @t104))) % 4.02/4.25 (step @p290 :rule cnf_or_neg :args (@t205 1)) % 4.02/4.25 (step @p291 :rule chain_m_resolution :premises (@p290 @p289) :args (@t225 @t209 @t226)) % 4.02/4.25 (step @p292 :rule instantiate :premises (@p246) :args ((@list @t201 @t200 @t200 @t200 @t200 @t200 @t200))) % 4.02/4.25 (step @p293 :rule bool-double-not-elim :args (@t203)) % 4.02/4.25 (step @p294 :rule refl :args (@t205)) % 4.02/4.25 (step @p295 :rule nary_cong :premises (@p294 @p293) :args ((or @t205 (not @t204)))) % 4.02/4.25 (step @p296 :rule cnf_or_neg :args (@t205 0)) % 4.02/4.25 (step @p297 :rule eq_resolve :premises (@p296 @p295)) % 4.02/4.25 (step @p298 :rule reordering :premises (@p297) :args ((or @t203 @t205))) % 4.02/4.25 (step @p299 :rule chain_m_resolution :premises (@p298 @p289) :args (@t203 @t209 @t226)) % 4.02/4.25 (step @p300 :rule cnf_or_pos :args (@t228)) % 4.02/4.25 (step @p301 :rule reordering :premises (@p300) :args ((or @t204 @t227 (not @t228)))) % 4.02/4.25 (step @p302 :rule chain_m_resolution :premises (@p301 @p299 @p292) :args (@t227 (@list false false) (@list @t203 @t228))) % 4.02/4.25 (step @p303 :rule cnf_and_pos :args (@t227 0)) % 4.02/4.25 (step @p304 :rule reordering :premises (@p303) :args ((or @t202 (not @t227)))) % 4.02/4.25 (step @p305 false :rule chain_m_resolution :premises (@p304 @p302 @p291) :args (false (@list false true) (@list @t227 @t202))) % 4.02/4.25 ) % 4.02/4.25 % SZS output end Proof % 4.02/4.25 % cvc5 exiting %------------------------------------------------------------------------------