%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV124^5 : 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 : n027.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 08:55:29 AM UTC 2026 % Result : Theorem 151.24s 151.60s % Output : Proof 151.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEV124^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.20/0.35 % Computer : n027.cluster.edu % 0.20/0.35 % Model : x86_64 x86_64 % 0.20/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.20/0.35 % Memory : 8042.1875MB % 0.20/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.20/0.35 % CPULimit : 300 % 0.20/0.35 % WCLimit : 300 % 0.20/0.35 % DateTime : Tue Jun 2 18:14:51 EDT 2026 % 0.20/0.35 % CPUTime : % 0.28/0.51 %----Proving TH0 % 151.24/151.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 151.24/151.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 151.24/151.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 151.24/151.60 --- Run --ho-elim --full-saturate-quant at 18s... % 151.24/151.60 % SZS status Theorem % 151.24/151.60 % SZS output start Proof % 151.24/151.60 ( % 151.24/151.60 (declare-sort tptp.a 0) % 151.24/151.60 (define @t1 () (@var "Xy" tptp.a)) % 151.24/151.60 (define @t2 () (@var "Xx" tptp.a)) % 151.24/151.60 (define @t3 () (@var "Xp" (-> tptp.a tptp.a Bool))) % 151.24/151.60 (define @t4 () (_ (_ @t3 @t2) @t1)) % 151.24/151.60 (define @t5 () (@var "PROP" (-> (-> tptp.a tptp.a Bool) Bool))) % 151.24/151.60 (define @t6 () (_ @t5 @t3)) % 151.24/151.60 (define @t7 () (@var "Xy0" tptp.a)) % 151.24/151.60 (define @t8 () (@var "Xx0" tptp.a)) % 151.24/151.60 (define @t9 () (_ (_ @t3 @t8) @t7)) % 151.24/151.60 (define @t10 () (@var "R" (-> tptp.a tptp.a Bool))) % 151.24/151.60 (define @t11 () (_ (_ @t10 @t8) @t7)) % 151.24/151.60 (define @t12 () (@var "Xy1" tptp.a)) % 151.24/151.60 (define @t13 () (@var "Xx1" tptp.a)) % 151.24/151.60 (define @t14 () (@var "Xp0" (-> tptp.a tptp.a Bool))) % 151.24/151.60 (define @t15 () (_ (_ @t14 @t13) @t12)) % 151.24/151.60 (define @t16 () (_ @t5 @t14)) % 151.24/151.60 (define @t17 () (@var "Xy2" tptp.a)) % 151.24/151.60 (define @t18 () (@var "Xx2" tptp.a)) % 151.24/151.60 (define @t19 () (_ (_ @t14 @t18) @t17)) % 151.24/151.60 (define @t20 () (@var "Q" (-> tptp.a tptp.a Bool))) % 151.24/151.60 (define @t21 () (_ (_ @t20 @t18) @t17)) % 151.24/151.60 (define @t22 () (@list @t18 @t17)) % 151.24/151.60 (define @t23 () (forall @t22 (=> @t21 @t19))) % 151.24/151.60 (define @t24 () (and @t23 @t16)) % 151.24/151.60 (define @t25 () (=> @t24 @t15)) % 151.24/151.60 (define @t26 () (@list @t14)) % 151.24/151.60 (define @t27 () (forall @t26 @t25)) % 151.24/151.60 (define @t28 () (@list @t13 @t12)) % 151.24/151.60 (define @t29 () (lambda @t28 @t27)) % 151.24/151.60 (define @t30 () (= @t10 @t29)) % 151.24/151.60 (define @t31 () (@var "S" (-> (-> tptp.a tptp.a Bool) Bool))) % 151.24/151.60 (define @t32 () (_ @t31 @t20)) % 151.24/151.60 (define @t33 () (and @t32 @t30)) % 151.24/151.60 (define @t34 () (@list @t20)) % 151.24/151.60 (define @t35 () (exists @t34 @t33)) % 151.24/151.60 (define @t36 () (and @t35 @t11)) % 151.24/151.60 (define @t37 () (@list @t10)) % 151.24/151.60 (define @t38 () (exists @t37 @t36)) % 151.24/151.60 (define @t39 () (=> @t38 @t9)) % 151.24/151.60 (define @t40 () (@list @t8 @t7)) % 151.24/151.60 (define @t41 () (forall @t40 @t39)) % 151.24/151.60 (define @t42 () (and @t41 @t6)) % 151.24/151.60 (define @t43 () (=> @t42 @t4)) % 151.24/151.60 (define @t44 () (@list @t3)) % 151.24/151.60 (define @t45 () (forall @t44 @t43)) % 151.24/151.60 (define @t46 () (_ @t31 @t10)) % 151.24/151.60 (define @t47 () (and @t46 @t11)) % 151.24/151.60 (define @t48 () (exists @t37 @t47)) % 151.24/151.60 (define @t49 () (=> @t48 @t9)) % 151.24/151.60 (define @t50 () (forall @t40 @t49)) % 151.24/151.60 (define @t51 () (and @t50 @t6)) % 151.24/151.60 (define @t52 () (=> @t51 @t4)) % 151.24/151.60 (define @t53 () (forall @t44 @t52)) % 151.24/151.60 (define @t54 () (=> @t53 @t45)) % 151.24/151.60 (define @t55 () (@list @t5 @t31 @t2 @t1)) % 151.24/151.60 (define @t56 () (forall @t55 @t54)) % 151.24/151.60 (define @t57 () (not @t56)) % 151.24/151.60 (define @t58 () (@var "BOUND_VARIABLE_7665" (@ho-elim-sort (-> tptp.a tptp.a Bool)))) % 151.24/151.60 (define @t59 () (@const 0 (-> (@ho-elim-sort (-> tptp.a tptp.a Bool)) tptp.a (@ho-elim-sort (-> tptp.a Bool))))) % 151.24/151.60 (define @t60 () (@const 1 (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a Bool))) % 151.24/151.60 (define @t61 () (@var "BOUND_VARIABLE_7676" (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a tptp.a Bool)) Bool)))) % 151.24/151.60 (define @t62 () (@const 2 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a tptp.a Bool)) Bool)) (@ho-elim-sort (-> tptp.a tptp.a Bool)) Bool))) % 151.24/151.60 (define @t63 () (@var "BOUND_VARIABLE_7682" (@ho-elim-sort (-> tptp.a tptp.a Bool)))) % 151.24/151.60 (define @t64 () (@var "BOUND_VARIABLE_7683" (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a tptp.a Bool)) Bool)))) % 151.24/151.60 (define @t65 () (@var "BOUND_VARIABLE_7688" (@ho-elim-sort (-> tptp.a tptp.a Bool)))) % 151.24/151.60 (define @t66 () (_ @t60 (_ @t59 @t65 @t8) @t7)) % 151.24/151.60 (define @t67 () (_ @t60 (_ @t59 @t65 @t18) @t17)) % 151.24/151.60 (define @t68 () (not (forall @t22 (or (not (_ @t60 (_ @t59 @t63 @t18) @t17)) @t67)))) % 151.24/151.60 (define @t69 () (@list @t65)) % 151.24/151.60 (define @t70 () (@list @t8 @t7 @t63)) % 151.24/151.60 (define @t71 () (@var "BOUND_VARIABLE_7715" (@ho-elim-sort (-> tptp.a tptp.a Bool)))) % 151.24/151.60 (define @t72 () (@var "BOUND_VARIABLE_7722" (@ho-elim-sort (-> tptp.a tptp.a Bool)))) % 151.24/151.60 (define @t73 () (not (_ @t60 (_ @t59 @t72 @t8) @t7))) % 151.24/151.60 (define @t74 () (_ @t60 (_ @t59 @t71 @t8) @t7)) % 151.24/151.60 (define @t75 () (@list @t8 @t7 @t72)) % 151.24/151.60 (define @t76 () (@list @t71)) % 151.24/151.60 (define @t77 () (forall (@list @t61 @t64 @t2 @t1 @t58) (or (not (forall @t76 (or (not (forall @t75 (or @t74 (not (_ @t62 @t64 @t72)) @t73))) (not (_ @t62 @t61 @t71)) (_ @t60 (_ @t59 @t71 @t2) @t1)))) (not (forall @t70 (or (_ @t60 (_ @t59 @t58 @t8) @t7) (not (forall @t69 (or @t68 (not (_ @t62 @t61 @t65)) @t66))) (not (_ @t62 @t64 @t63))))) (not (_ @t62 @t61 @t58)) (_ @t60 (_ @t59 @t58 @t2) @t1)))) % 151.24/151.60 (define @t78 () (@var "BOUND_VARIABLE_7646" (-> tptp.a tptp.a Bool))) % 151.24/151.60 (define @t79 () (_ @t78 @t2 @t1)) % 151.24/151.60 (define @t80 () (not (_ @t5 @t78))) % 151.24/151.60 (define @t81 () (@var "BOUND_VARIABLE_7613" (-> tptp.a tptp.a Bool))) % 151.24/151.60 (define @t82 () (not (_ @t31 @t81))) % 151.24/151.60 (define @t83 () (_ @t14 @t8 @t7)) % 151.24/151.60 (define @t84 () (_ @t5 @t14)) % 151.24/151.60 (define @t85 () (not @t84)) % 151.24/151.60 (define @t86 () (_ @t14 @t18 @t17)) % 151.24/151.60 (define @t87 () (not (forall @t26 (or (not (forall @t22 (or (not (_ @t81 @t18 @t17)) @t86))) @t85 @t83)))) % 151.24/151.60 (define @t88 () (@list @t8 @t7 @t81)) % 151.24/151.60 (define @t89 () (not (forall @t88 (or (_ @t78 @t8 @t7) @t87 @t82)))) % 151.24/151.60 (define @t90 () (_ @t3 @t2 @t1)) % 151.24/151.60 (define @t91 () (_ @t5 @t3)) % 151.24/151.60 (define @t92 () (not @t91)) % 151.24/151.60 (define @t93 () (@var "BOUND_VARIABLE_7496" (-> tptp.a tptp.a Bool))) % 151.24/151.60 (define @t94 () (not (_ @t93 @t8 @t7))) % 151.24/151.60 (define @t95 () (not (_ @t31 @t93))) % 151.24/151.60 (define @t96 () (_ @t3 @t8 @t7)) % 151.24/151.60 (define @t97 () (or @t96 @t95 @t94)) % 151.24/151.60 (define @t98 () (@list @t8 @t7 @t93)) % 151.24/151.60 (define @t99 () (forall @t98 @t97)) % 151.24/151.60 (define @t100 () (not @t99)) % 151.24/151.60 (define @t101 () (forall @t44 (or @t100 @t92 @t90))) % 151.24/151.60 (define @t102 () (not @t101)) % 151.24/151.60 (define @t103 () (or @t102 @t89 @t80 @t79)) % 151.24/151.60 (define @t104 () (@list @t5 @t31 @t2 @t1 @t78)) % 151.24/151.60 (define @t105 () (or @t89 @t80 @t79)) % 151.24/151.60 (define @t106 () (or @t102 @t105)) % 151.24/151.60 (define @t107 () (forall @t104 @t106)) % 151.24/151.60 (define @t108 () (@list @t78)) % 151.24/151.60 (define @t109 () (forall @t108 @t106)) % 151.24/151.60 (define @t110 () (forall @t108 @t105)) % 151.24/151.60 (define @t111 () (or @t102 @t110)) % 151.24/151.60 (define @t112 () (or @t96 @t87 @t82)) % 151.24/151.60 (define @t113 () (forall @t88 @t112)) % 151.24/151.60 (define @t114 () (not @t113)) % 151.24/151.60 (define @t115 () (forall @t44 (or @t114 @t92 @t90))) % 151.24/151.60 (define @t116 () (not @t6)) % 151.24/151.60 (define @t117 () (or @t114 @t116 @t4)) % 151.24/151.60 (define @t118 () (and @t113 @t6)) % 151.24/151.60 (define @t119 () (or @t87 @t82)) % 151.24/151.60 (define @t120 () (or @t119 @t96)) % 151.24/151.60 (define @t121 () (forall @t88 @t120)) % 151.24/151.60 (define @t122 () (@list @t81)) % 151.24/151.60 (define @t123 () (forall @t122 @t120)) % 151.24/151.60 (define @t124 () (forall @t122 @t119)) % 151.24/151.60 (define @t125 () (@var "BOUND_VARIABLE_7571" (-> tptp.a tptp.a Bool))) % 151.24/151.60 (define @t126 () (@list @t125)) % 151.24/151.60 (define @t127 () (or @t124 @t96)) % 151.24/151.60 (define @t128 () (not (_ @t31 @t125))) % 151.24/151.60 (define @t129 () (not (forall @t22 (or (not (_ @t125 @t18 @t17)) @t86)))) % 151.24/151.60 (define @t130 () (forall @t26 (or @t129 @t85 @t83))) % 151.24/151.60 (define @t131 () (not @t130)) % 151.24/151.60 (define @t132 () (or @t131 @t128)) % 151.24/151.60 (define @t133 () (@list @t125)) % 151.24/151.60 (define @t134 () (forall @t133 @t132)) % 151.24/151.60 (define @t135 () (or @t134 @t9)) % 151.24/151.60 (define @t136 () (not @t134)) % 151.24/151.60 (define @t137 () (_ @t14 @t13 @t12)) % 151.24/151.60 (define @t138 () (lambda @t28 (forall @t26 (or @t129 @t85 @t137)))) % 151.24/151.60 (define @t139 () (not (= @t138 @t138))) % 151.24/151.60 (define @t140 () (_ @t138 @t8 @t7)) % 151.24/151.60 (define @t141 () (not @t140)) % 151.24/151.60 (define @t142 () (or @t141 @t128 @t139)) % 151.24/151.60 (define @t143 () (not (= @t10 @t138))) % 151.24/151.60 (define @t144 () (_ @t10 @t8 @t7)) % 151.24/151.60 (define @t145 () (not @t144)) % 151.24/151.60 (define @t146 () (or @t143 @t145 @t128 @t143)) % 151.24/151.60 (define @t147 () (or @t145 @t128 @t143)) % 151.24/151.60 (define @t148 () (forall @t37 @t147)) % 151.24/151.60 (define @t149 () (forall @t133 @t148)) % 151.24/151.60 (define @t150 () (forall (@list @t125 @t10) @t147)) % 151.24/151.60 (define @t151 () (@list @t10 @t125)) % 151.24/151.60 (define @t152 () (or @t128 @t143)) % 151.24/151.60 (define @t153 () (or @t152 @t145)) % 151.24/151.60 (define @t154 () (forall @t151 @t153)) % 151.24/151.60 (define @t155 () (forall @t133 @t153)) % 151.24/151.60 (define @t156 () (forall @t133 @t152)) % 151.24/151.60 (define @t157 () (or @t156 @t145)) % 151.24/151.60 (define @t158 () (_ @t20 @t18 @t17)) % 151.24/151.60 (define @t159 () (forall @t22 (or (not @t158) @t86))) % 151.24/151.60 (define @t160 () (not @t159)) % 151.24/151.60 (define @t161 () (= @t10 (lambda @t28 (forall @t26 (or @t160 @t85 @t137))))) % 151.24/151.60 (define @t162 () (not @t161)) % 151.24/151.60 (define @t163 () (_ @t31 @t20)) % 151.24/151.60 (define @t164 () (forall @t34 (or (not @t163) @t162))) % 151.24/151.60 (define @t165 () (not @t11)) % 151.24/151.60 (define @t166 () (or @t164 @t165)) % 151.24/151.60 (define @t167 () (not @t164)) % 151.24/151.60 (define @t168 () (and @t167 @t11)) % 151.24/151.60 (define @t169 () (forall @t37 (not @t168))) % 151.24/151.60 (define @t170 () (not @t169)) % 151.24/151.60 (define @t171 () (not @t32)) % 151.24/151.60 (define @t172 () (or @t171 @t162)) % 151.24/151.60 (define @t173 () (and @t32 @t161)) % 151.24/151.60 (define @t174 () (forall @t34 (not @t173))) % 151.24/151.60 (define @t175 () (not @t174)) % 151.24/151.60 (define @t176 () (not @t16)) % 151.24/151.60 (define @t177 () (or @t160 @t176 @t15)) % 151.24/151.60 (define @t178 () (and @t159 @t16)) % 151.24/151.60 (define @t179 () (not @t21)) % 151.24/151.60 (define @t180 () (or @t179 @t19)) % 151.24/151.60 (define @t181 () (or @t100 @t116 @t4)) % 151.24/151.60 (define @t182 () (and @t99 @t6)) % 151.24/151.60 (define @t183 () (or @t95 @t94)) % 151.24/151.60 (define @t184 () (or @t183 @t96)) % 151.24/151.60 (define @t185 () (forall @t98 @t184)) % 151.24/151.60 (define @t186 () (@list @t93)) % 151.24/151.60 (define @t187 () (forall @t186 @t184)) % 151.24/151.60 (define @t188 () (forall @t186 @t183)) % 151.24/151.60 (define @t189 () (or @t188 @t96)) % 151.24/151.60 (define @t190 () (_ @t31 @t10)) % 151.24/151.60 (define @t191 () (forall @t37 (or (not @t190) @t145))) % 151.24/151.60 (define @t192 () (or @t191 @t9)) % 151.24/151.60 (define @t193 () (not @t191)) % 151.24/151.60 (define @t194 () (not @t46)) % 151.24/151.60 (define @t195 () (or @t194 @t165)) % 151.24/151.60 (define @t196 () (forall @t37 (not @t47))) % 151.24/151.60 (define @t197 () (not @t196)) % 151.24/151.60 (define @t198 () (@quantifiers_skolemize @t77 1)) % 151.24/151.60 (define @t199 () (@quantifiers_skolemize @t77 0)) % 151.24/151.60 (define @t200 () (not (_ @t62 @t199 @t65))) % 151.24/151.60 (define @t201 () (@quantifiers_skolemize @t77 4)) % 151.24/151.60 (define @t202 () (_ @t60 (_ @t59 @t201 @t8) @t7)) % 151.24/151.60 (define @t203 () (forall @t70 (or @t202 (not (forall @t69 (or @t68 @t200 @t66))) (not (_ @t62 @t198 @t63))))) % 151.24/151.60 (define @t204 () (@quantifiers_skolemize @t77 3)) % 151.24/151.60 (define @t205 () (@quantifiers_skolemize @t77 2)) % 151.24/151.60 (define @t206 () (_ @t60 (_ @t59 @t201 @t205) @t204)) % 151.24/151.60 (define @t207 () (_ @t62 @t199 @t201)) % 151.24/151.60 (define @t208 () (not @t207)) % 151.24/151.60 (define @t209 () (not @t203)) % 151.24/151.60 (define @t210 () (not (_ @t62 @t198 @t72))) % 151.24/151.60 (define @t211 () (forall @t76 (or (not (forall @t75 (or @t74 @t210 @t73))) (not (_ @t62 @t199 @t71)) (_ @t60 (_ @t59 @t71 @t205) @t204)))) % 151.24/151.60 (define @t212 () (not @t211)) % 151.24/151.60 (define @t213 () (or @t212 @t209 @t208 @t206)) % 151.24/151.60 (define @t214 () (@list true)) % 151.24/151.60 (define @t215 () (@list @t213)) % 151.24/151.60 (define @t216 () (forall @t75 (or @t202 @t210 @t73))) % 151.24/151.60 (define @t217 () (@quantifiers_skolemize @t216 2)) % 151.24/151.60 (define @t218 () (@quantifiers_skolemize @t216 1)) % 151.24/151.60 (define @t219 () (@quantifiers_skolemize @t216 0)) % 151.24/151.60 (define @t220 () (not @t216)) % 151.24/151.60 (define @t221 () (or @t220 @t208 @t206)) % 151.24/151.60 (define @t222 () (_ @t62 @t198 @t217)) % 151.24/151.60 (define @t223 () (_ @t60 (_ @t59 @t217 @t219) @t218)) % 151.24/151.60 (define @t224 () (not @t223)) % 151.24/151.60 (define @t225 () (not @t222)) % 151.24/151.60 (define @t226 () (_ @t60 (_ @t59 @t201 @t219) @t218)) % 151.24/151.60 (define @t227 () (or @t226 @t225 @t224)) % 151.24/151.60 (define @t228 () (@list @t227)) % 151.24/151.60 (define @t229 () (not (_ @t60 (_ @t59 @t217 @t18) @t17))) % 151.24/151.60 (define @t230 () (forall @t69 (or (not (forall @t22 (or @t229 @t67))) @t200 (_ @t60 (_ @t59 @t65 @t219) @t218)))) % 151.24/151.60 (define @t231 () (not @t230)) % 151.24/151.60 (define @t232 () (or @t226 @t231 @t225)) % 151.24/151.60 (define @t233 () (@quantifiers_skolemize @t230 0)) % 151.24/151.60 (define @t234 () (forall @t22 (or @t229 (_ @t60 (_ @t59 @t233 @t18) @t17)))) % 151.24/151.60 (define @t235 () (_ @t60 (_ @t59 @t233 @t219) @t218)) % 151.24/151.60 (define @t236 () (not @t234)) % 151.24/151.60 (define @t237 () (or @t236 (not (_ @t62 @t199 @t233)) @t235)) % 151.24/151.60 (define @t238 () (@list @t237)) % 151.24/151.60 (define @t239 () (or @t224 @t235)) % 151.24/151.60 (define @t240 () (not @t239)) % 151.24/151.60 (assume @p1 @t57) % 151.24/151.60 (assume @p2 true) % 151.24/151.60 ; WARNING: add trust step for TRUST % 151.24/151.60 ; trust TRUST PREPROCESS_HO_ELIM % 151.24/151.60 (step @p3 :rule trust :premises () :args ((= (not (forall @t104 @t103)) (not @t77)))) % 151.24/151.60 (step @p4 :rule aci_norm :args ((= @t106 @t103))) % 151.24/151.60 (step @p5 :rule cong :premises (@p4) :args (@t107)) % 151.24/151.60 (step @p6 :rule quant-merge-prenex :args ((= (forall @t55 @t109) @t107))) % 151.24/151.60 (step @p7 :rule alpha_equiv :args (@t110 (@list @t78) (@list @t3))) % 151.24/151.60 (step @p8 :rule refl :args (@t102)) % 151.24/151.60 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t111)) % 151.24/151.60 (step @p10 :rule quant-miniscope-or :args ((= @t109 @t111))) % 151.24/151.60 (step @p11 :rule trans :premises (@p10 @p9)) % 151.24/151.60 (step @p12 :rule symm :premises (@p11)) % 151.24/151.60 (step @p13 :rule cong :premises (@p12) :args ((forall @t55 (or @t102 @t115)))) % 151.24/151.60 (step @p14 :rule trans :premises (@p13 @p6)) % 151.24/151.60 (step @p15 :rule trans :premises (@p14 @p5)) % 151.24/151.60 (step @p16 :rule bool-impl-elim :args (@t101 @t115)) % 151.24/151.60 (step @p17 :rule cong :premises (@p16) :args ((forall @t55 (=> @t101 @t115)))) % 151.24/151.60 (step @p18 :rule trans :premises (@p17 @p15)) % 151.24/151.60 (step @p19 :rule refl :args (@t90)) % 151.24/151.60 (step @p20 :rule refl :args (@t4)) % 151.24/151.60 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t4 @t90))) % 151.24/151.60 (step @p22 :rule symm :premises (@p21)) % 151.24/151.60 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 151.24/151.60 (step @p24 :rule refl :args (@t91)) % 151.24/151.60 (step @p25 :rule refl :args (@t6)) % 151.24/151.60 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t6 @t91))) % 151.24/151.60 (step @p27 :rule symm :premises (@p26)) % 151.24/151.60 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 151.24/151.60 (step @p29 :rule cong :premises (@p28) :args (@t116)) % 151.24/151.60 (step @p30 :rule refl :args (@t114)) % 151.24/151.60 (step @p31 :rule nary_cong :premises (@p30 @p29 @p23) :args (@t117)) % 151.24/151.60 (step @p32 :rule cong :premises (@p31) :args ((forall @t44 @t117))) % 151.24/151.60 (step @p33 :rule aci_norm :args ((= (or (or @t114 @t116) @t4) @t117))) % 151.24/151.60 (step @p34 :rule bool-and-de-morgan :args (@t113 @t6 true)) % 151.24/151.60 (step @p35 :rule nary_cong :premises (@p34 @p20) :args ((or (not @t118) @t4))) % 151.24/151.60 (step @p36 :rule trans :premises (@p35 @p33)) % 151.24/151.60 (step @p37 :rule bool-impl-elim :args (@t118 @t4)) % 151.24/151.60 (step @p38 :rule trans :premises (@p37 @p36)) % 151.24/151.60 (step @p39 :rule cong :premises (@p38) :args ((forall @t44 (=> @t118 @t4)))) % 151.24/151.60 (step @p40 :rule trans :premises (@p39 @p32)) % 151.24/151.60 (step @p41 :rule refl :args (@t4)) % 151.24/151.60 (step @p42 :rule refl :args (@t6)) % 151.24/151.60 (step @p43 :rule aci_norm :args ((= @t120 @t112))) % 151.24/151.60 (step @p44 :rule cong :premises (@p43) :args (@t121)) % 151.24/151.60 (step @p45 :rule quant-merge-prenex :args ((= (forall @t40 @t123) @t121))) % 151.24/151.60 (step @p46 :rule refl :args (@t96)) % 151.24/151.60 (step @p47 :rule alpha_equiv :args (@t124 (@list @t81) @t126)) % 151.24/151.60 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t127)) % 151.24/151.60 (step @p49 :rule quant-miniscope-or :args ((= @t123 @t127))) % 151.24/151.60 (step @p50 :rule trans :premises (@p49 @p48)) % 151.24/151.60 (step @p51 :rule symm :premises (@p50)) % 151.24/151.60 (step @p52 :rule cong :premises (@p51) :args ((forall @t40 (or @t134 @t96)))) % 151.24/151.60 (step @p53 :rule trans :premises (@p52 @p45)) % 151.24/151.60 (step @p54 :rule trans :premises (@p53 @p44)) % 151.24/151.60 (step @p55 :rule refl :args (@t96)) % 151.24/151.60 (step @p56 :rule refl :args (@t9)) % 151.24/151.60 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t9 @t96))) % 151.24/151.60 (step @p58 :rule symm :premises (@p57)) % 151.24/151.60 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 151.24/151.60 (step @p60 :rule refl :args (@t134)) % 151.24/151.60 (step @p61 :rule nary_cong :premises (@p60 @p59) :args (@t135)) % 151.24/151.60 (step @p62 :rule cong :premises (@p61) :args ((forall @t40 @t135))) % 151.24/151.60 (step @p63 :rule trans :premises (@p62 @p54)) % 151.24/151.60 (step @p64 :rule bool-double-not-elim :args (@t134)) % 151.24/151.60 (step @p65 :rule nary_cong :premises (@p64 @p56) :args ((or (not @t136) @t9))) % 151.24/151.60 (step @p66 :rule bool-impl-elim :args (@t136 @t9)) % 151.24/151.60 (step @p67 :rule trans :premises (@p66 @p65)) % 151.24/151.60 (step @p68 :rule cong :premises (@p67) :args ((forall @t40 (=> @t136 @t9)))) % 151.24/151.60 (step @p69 :rule trans :premises (@p68 @p63)) % 151.24/151.60 (step @p70 :rule refl :args (@t9)) % 151.24/151.60 (step @p71 :rule aci_norm :args ((= (or @t131 @t128 false) @t132))) % 151.24/151.60 (step @p72 :rule evaluate :args ((not true))) % 151.24/151.60 (step @p73 :rule eq-refl :args (@t138)) % 151.24/151.60 (step @p74 :rule cong :premises (@p73) :args (@t139)) % 151.24/151.60 (step @p75 :rule trans :premises (@p74 @p72)) % 151.24/151.60 (step @p76 :rule refl :args (@t128)) % 151.24/151.60 (step @p77 :rule beta-reduce :args ((= @t140 @t130))) % 151.24/151.60 (step @p78 :rule cong :premises (@p77) :args (@t141)) % 151.24/151.60 (step @p79 :rule nary_cong :premises (@p78 @p76 @p75) :args (@t142)) % 151.24/151.60 (step @p80 :rule trans :premises (@p79 @p71)) % 151.24/151.60 (step @p81 :rule cong :premises (@p80) :args ((forall @t133 @t142))) % 151.24/151.60 (step @p82 :rule quant-var-elim-eq :args ((= (forall @t37 @t146) @t142))) % 151.24/151.60 (step @p83 :rule aci_norm :args ((= @t147 @t146))) % 151.24/151.60 (step @p84 :rule cong :premises (@p83) :args (@t148)) % 151.24/151.60 (step @p85 :rule trans :premises (@p84 @p82)) % 151.24/151.60 (step @p86 :rule cong :premises (@p85) :args (@t149)) % 151.24/151.60 (step @p87 :rule quant-merge-prenex :args ((= @t149 @t150))) % 151.24/151.60 (step @p88 :rule symm :premises (@p87)) % 151.24/151.60 (step @p89 :rule quant_var_reordering :args ((= (forall @t151 @t147) @t150))) % 151.24/151.60 (step @p90 :rule trans :premises (@p89 @p88 @p86)) % 151.24/151.60 (step @p91 :rule trans :premises (@p90 @p81)) % 151.24/151.60 (step @p92 :rule aci_norm :args ((= @t153 @t147))) % 151.24/151.60 (step @p93 :rule cong :premises (@p92) :args (@t154)) % 151.24/151.60 (step @p94 :rule trans :premises (@p93 @p91)) % 151.24/151.60 (step @p95 :rule quant-merge-prenex :args ((= (forall @t37 @t155) @t154))) % 151.24/151.60 (step @p96 :rule refl :args (@t145)) % 151.24/151.60 (step @p97 :rule alpha_equiv :args (@t156 @t126 (@list @t20))) % 151.24/151.60 (step @p98 :rule nary_cong :premises (@p97 @p96) :args (@t157)) % 151.24/151.60 (step @p99 :rule quant-miniscope-or :args ((= @t155 @t157))) % 151.24/151.60 (step @p100 :rule trans :premises (@p99 @p98)) % 151.24/151.60 (step @p101 :rule symm :premises (@p100)) % 151.24/151.60 (step @p102 :rule cong :premises (@p101) :args ((forall @t37 (or @t164 @t145)))) % 151.24/151.60 (step @p103 :rule trans :premises (@p102 @p95)) % 151.24/151.60 (step @p104 :rule trans :premises (@p103 @p94)) % 151.24/151.60 (step @p105 :rule refl :args (@t144)) % 151.24/151.60 (step @p106 :rule refl :args (@t11)) % 151.24/151.60 (step @p107 :rule cong :premises (@p106 @p105) :args ((= @t11 @t144))) % 151.24/151.60 (step @p108 :rule symm :premises (@p107)) % 151.24/151.60 (step @p109 :rule eq_resolve :premises (@p106 @p108)) % 151.24/151.60 (step @p110 :rule cong :premises (@p109) :args (@t165)) % 151.24/151.60 (step @p111 :rule refl :args (@t164)) % 151.24/151.60 (step @p112 :rule nary_cong :premises (@p111 @p110) :args (@t166)) % 151.24/151.60 (step @p113 :rule cong :premises (@p112) :args ((forall @t37 @t166))) % 151.24/151.60 (step @p114 :rule trans :premises (@p113 @p104)) % 151.24/151.60 (step @p115 :rule refl :args (@t165)) % 151.24/151.60 (step @p116 :rule bool-double-not-elim :args (@t164)) % 151.24/151.60 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((or (not @t167) @t165))) % 151.24/151.60 (step @p118 :rule bool-and-de-morgan :args (@t167 @t11 true)) % 151.24/151.60 (step @p119 :rule trans :premises (@p118 @p117)) % 151.24/151.60 (step @p120 :rule cong :premises (@p119) :args (@t169)) % 151.24/151.60 (step @p121 :rule trans :premises (@p120 @p114)) % 151.24/151.60 (step @p122 :rule cong :premises (@p121) :args (@t170)) % 151.24/151.60 (step @p123 :rule exists-elim :args ((= (exists @t37 @t168) @t170))) % 151.24/151.60 (step @p124 :rule trans :premises (@p123 @p122)) % 151.24/151.60 (step @p125 :rule refl :args (@t11)) % 151.24/151.60 (step @p126 :rule refl :args (@t162)) % 151.24/151.60 (step @p127 :rule refl :args (@t163)) % 151.24/151.60 (step @p128 :rule refl :args (@t32)) % 151.24/151.60 (step @p129 :rule cong :premises (@p128 @p127) :args ((= @t32 @t163))) % 151.24/151.60 (step @p130 :rule symm :premises (@p129)) % 151.24/151.60 (step @p131 :rule eq_resolve :premises (@p128 @p130)) % 151.24/151.60 (step @p132 :rule cong :premises (@p131) :args (@t171)) % 151.24/151.60 (step @p133 :rule nary_cong :premises (@p132 @p126) :args (@t172)) % 151.24/151.60 (step @p134 :rule cong :premises (@p133) :args ((forall @t34 @t172))) % 151.24/151.60 (step @p135 :rule bool-and-de-morgan :args (@t32 @t161 true)) % 151.24/151.60 (step @p136 :rule cong :premises (@p135) :args (@t174)) % 151.24/151.60 (step @p137 :rule trans :premises (@p136 @p134)) % 151.24/151.60 (step @p138 :rule cong :premises (@p137) :args (@t175)) % 151.24/151.60 (step @p139 :rule exists-elim :args ((= (exists @t34 @t173) @t175))) % 151.24/151.60 (step @p140 :rule trans :premises (@p139 @p138)) % 151.24/151.60 (step @p141 :rule refl :args (@t137)) % 151.24/151.60 (step @p142 :rule refl :args (@t15)) % 151.24/151.60 (step @p143 :rule cong :premises (@p142 @p141) :args ((= @t15 @t137))) % 151.24/151.60 (step @p144 :rule symm :premises (@p143)) % 151.24/151.60 (step @p145 :rule eq_resolve :premises (@p142 @p144)) % 151.24/151.60 (step @p146 :rule refl :args (@t84)) % 151.24/151.60 (step @p147 :rule refl :args (@t16)) % 151.24/151.60 (step @p148 :rule cong :premises (@p147 @p146) :args ((= @t16 @t84))) % 151.24/151.60 (step @p149 :rule symm :premises (@p148)) % 151.24/151.60 (step @p150 :rule eq_resolve :premises (@p147 @p149)) % 151.24/151.60 (step @p151 :rule cong :premises (@p150) :args (@t176)) % 151.24/151.60 (step @p152 :rule refl :args (@t160)) % 151.24/151.60 (step @p153 :rule nary_cong :premises (@p152 @p151 @p145) :args (@t177)) % 151.24/151.60 (step @p154 :rule cong :premises (@p153) :args ((forall @t26 @t177))) % 151.24/151.60 (step @p155 :rule aci_norm :args ((= (or (or @t160 @t176) @t15) @t177))) % 151.24/151.60 (step @p156 :rule bool-and-de-morgan :args (@t159 @t16 true)) % 151.24/151.60 (step @p157 :rule nary_cong :premises (@p156 @p142) :args ((or (not @t178) @t15))) % 151.24/151.60 (step @p158 :rule trans :premises (@p157 @p155)) % 151.24/151.60 (step @p159 :rule bool-impl-elim :args (@t178 @t15)) % 151.24/151.60 (step @p160 :rule trans :premises (@p159 @p158)) % 151.24/151.60 (step @p161 :rule cong :premises (@p160) :args ((forall @t26 (=> @t178 @t15)))) % 151.24/151.60 (step @p162 :rule trans :premises (@p161 @p154)) % 151.24/151.60 (step @p163 :rule refl :args (@t15)) % 151.24/151.60 (step @p164 :rule refl :args (@t16)) % 151.24/151.60 (step @p165 :rule refl :args (@t86)) % 151.24/151.60 (step @p166 :rule refl :args (@t19)) % 151.24/151.60 (step @p167 :rule cong :premises (@p166 @p165) :args ((= @t19 @t86))) % 151.24/151.60 (step @p168 :rule symm :premises (@p167)) % 151.24/151.60 (step @p169 :rule eq_resolve :premises (@p166 @p168)) % 151.24/151.60 (step @p170 :rule refl :args (@t158)) % 151.24/151.60 (step @p171 :rule refl :args (@t21)) % 151.24/151.60 (step @p172 :rule cong :premises (@p171 @p170) :args ((= @t21 @t158))) % 151.24/151.60 (step @p173 :rule symm :premises (@p172)) % 151.24/151.60 (step @p174 :rule eq_resolve :premises (@p171 @p173)) % 151.24/151.60 (step @p175 :rule cong :premises (@p174) :args (@t179)) % 151.24/151.60 (step @p176 :rule nary_cong :premises (@p175 @p169) :args (@t180)) % 151.24/151.60 (step @p177 :rule cong :premises (@p176) :args ((forall @t22 @t180))) % 151.24/151.60 (step @p178 :rule bool-impl-elim :args (@t21 @t19)) % 151.24/151.60 (step @p179 :rule cong :premises (@p178) :args (@t23)) % 151.24/151.60 (step @p180 :rule trans :premises (@p179 @p177)) % 151.24/151.60 (step @p181 :rule nary_cong :premises (@p180 @p164) :args (@t24)) % 151.24/151.60 (step @p182 :rule cong :premises (@p181 @p163) :args (@t25)) % 151.24/151.60 (step @p183 :rule cong :premises (@p182) :args (@t27)) % 151.24/151.60 (step @p184 :rule trans :premises (@p183 @p162)) % 151.24/151.60 (step @p185 :rule cong :premises (@p184) :args (@t29)) % 151.24/151.60 (step @p186 :rule refl :args (@t10)) % 151.24/151.60 (step @p187 :rule cong :premises (@p186 @p185) :args (@t30)) % 151.24/151.60 (step @p188 :rule refl :args (@t32)) % 151.24/151.60 (step @p189 :rule nary_cong :premises (@p188 @p187) :args (@t33)) % 151.24/151.60 (step @p190 :rule cong :premises (@p189) :args (@t35)) % 151.24/151.60 (step @p191 :rule trans :premises (@p190 @p140)) % 151.24/151.60 (step @p192 :rule nary_cong :premises (@p191 @p125) :args (@t36)) % 151.24/151.60 (step @p193 :rule cong :premises (@p192) :args (@t38)) % 151.24/151.60 (step @p194 :rule trans :premises (@p193 @p124)) % 151.24/151.60 (step @p195 :rule cong :premises (@p194 @p70) :args (@t39)) % 151.24/151.60 (step @p196 :rule cong :premises (@p195) :args (@t41)) % 151.24/151.60 (step @p197 :rule trans :premises (@p196 @p69)) % 151.24/151.60 (step @p198 :rule nary_cong :premises (@p197 @p42) :args (@t42)) % 151.24/151.60 (step @p199 :rule cong :premises (@p198 @p41) :args (@t43)) % 151.24/151.60 (step @p200 :rule cong :premises (@p199) :args (@t45)) % 151.24/151.60 (step @p201 :rule trans :premises (@p200 @p40)) % 151.24/151.60 (step @p202 :rule refl :args (@t100)) % 151.24/151.60 (step @p203 :rule nary_cong :premises (@p202 @p29 @p23) :args (@t181)) % 151.24/151.60 (step @p204 :rule cong :premises (@p203) :args ((forall @t44 @t181))) % 151.24/151.60 (step @p205 :rule aci_norm :args ((= (or (or @t100 @t116) @t4) @t181))) % 151.24/151.60 (step @p206 :rule bool-and-de-morgan :args (@t99 @t6 true)) % 151.24/151.60 (step @p207 :rule nary_cong :premises (@p206 @p20) :args ((or (not @t182) @t4))) % 151.24/151.60 (step @p208 :rule trans :premises (@p207 @p205)) % 151.24/151.60 (step @p209 :rule bool-impl-elim :args (@t182 @t4)) % 151.24/151.60 (step @p210 :rule trans :premises (@p209 @p208)) % 151.24/151.60 (step @p211 :rule cong :premises (@p210) :args ((forall @t44 (=> @t182 @t4)))) % 151.24/151.60 (step @p212 :rule trans :premises (@p211 @p204)) % 151.24/151.60 (step @p213 :rule aci_norm :args ((= @t184 @t97))) % 151.24/151.60 (step @p214 :rule cong :premises (@p213) :args (@t185)) % 151.24/151.60 (step @p215 :rule quant-merge-prenex :args ((= (forall @t40 @t187) @t185))) % 151.24/151.60 (step @p216 :rule alpha_equiv :args (@t188 (@list @t93) (@list @t10))) % 151.24/151.60 (step @p217 :rule nary_cong :premises (@p216 @p46) :args (@t189)) % 151.24/151.60 (step @p218 :rule quant-miniscope-or :args ((= @t187 @t189))) % 151.24/151.60 (step @p219 :rule trans :premises (@p218 @p217)) % 151.24/151.60 (step @p220 :rule symm :premises (@p219)) % 151.24/151.60 (step @p221 :rule cong :premises (@p220) :args ((forall @t40 (or @t191 @t96)))) % 151.24/151.60 (step @p222 :rule trans :premises (@p221 @p215)) % 151.24/151.60 (step @p223 :rule trans :premises (@p222 @p214)) % 151.24/151.60 (step @p224 :rule refl :args (@t191)) % 151.24/151.60 (step @p225 :rule nary_cong :premises (@p224 @p59) :args (@t192)) % 151.24/151.60 (step @p226 :rule cong :premises (@p225) :args ((forall @t40 @t192))) % 151.24/151.60 (step @p227 :rule trans :premises (@p226 @p223)) % 151.24/151.60 (step @p228 :rule bool-double-not-elim :args (@t191)) % 151.24/151.60 (step @p229 :rule nary_cong :premises (@p228 @p56) :args ((or (not @t193) @t9))) % 151.24/151.60 (step @p230 :rule bool-impl-elim :args (@t193 @t9)) % 151.24/151.60 (step @p231 :rule trans :premises (@p230 @p229)) % 151.24/151.60 (step @p232 :rule cong :premises (@p231) :args ((forall @t40 (=> @t193 @t9)))) % 151.24/151.60 (step @p233 :rule trans :premises (@p232 @p227)) % 151.24/151.60 (step @p234 :rule refl :args (@t190)) % 151.24/151.60 (step @p235 :rule refl :args (@t46)) % 151.24/151.60 (step @p236 :rule cong :premises (@p235 @p234) :args ((= @t46 @t190))) % 151.24/151.60 (step @p237 :rule symm :premises (@p236)) % 151.24/151.60 (step @p238 :rule eq_resolve :premises (@p235 @p237)) % 151.24/151.60 (step @p239 :rule cong :premises (@p238) :args (@t194)) % 151.24/151.60 (step @p240 :rule nary_cong :premises (@p239 @p110) :args (@t195)) % 151.24/151.60 (step @p241 :rule cong :premises (@p240) :args ((forall @t37 @t195))) % 151.24/151.60 (step @p242 :rule bool-and-de-morgan :args (@t46 @t11 true)) % 151.24/151.60 (step @p243 :rule cong :premises (@p242) :args (@t196)) % 151.24/151.60 (step @p244 :rule trans :premises (@p243 @p241)) % 151.24/151.60 (step @p245 :rule cong :premises (@p244) :args (@t197)) % 151.24/151.60 (step @p246 :rule exists-elim :args ((= @t48 @t197))) % 151.24/151.60 (step @p247 :rule trans :premises (@p246 @p245)) % 151.24/151.60 (step @p248 :rule cong :premises (@p247 @p70) :args (@t49)) % 151.24/151.60 (step @p249 :rule cong :premises (@p248) :args (@t50)) % 151.24/151.60 (step @p250 :rule trans :premises (@p249 @p233)) % 151.24/151.60 (step @p251 :rule nary_cong :premises (@p250 @p42) :args (@t51)) % 151.24/151.60 (step @p252 :rule cong :premises (@p251 @p41) :args (@t52)) % 151.24/151.60 (step @p253 :rule cong :premises (@p252) :args (@t53)) % 151.24/151.60 (step @p254 :rule trans :premises (@p253 @p212)) % 151.24/151.60 (step @p255 :rule cong :premises (@p254 @p201) :args (@t54)) % 151.24/151.60 (step @p256 :rule cong :premises (@p255) :args (@t56)) % 151.24/151.60 (step @p257 :rule trans :premises (@p256 @p18)) % 151.24/151.60 (step @p258 :rule cong :premises (@p257) :args (@t57)) % 151.24/151.60 (step @p259 :rule trans :premises (@p258 @p3)) % 151.24/151.60 (step @p260 :rule eq_resolve :premises (@p1 @p259)) % 151.24/151.60 (step @p261 :rule skolemize :premises (@p260)) % 151.24/151.60 (step @p262 :rule bool-double-not-elim :args (@t203)) % 151.24/151.60 (step @p263 :rule refl :args (@t213)) % 151.24/151.60 (step @p264 :rule nary_cong :premises (@p263 @p262) :args ((or @t213 (not @t209)))) % 151.24/151.60 (step @p265 :rule cnf_or_neg :args (@t213 1)) % 151.24/151.60 (step @p266 :rule eq_resolve :premises (@p265 @p264)) % 151.24/151.60 (step @p267 :rule reordering :premises (@p266) :args ((or @t203 @t213))) % 151.24/151.60 (step @p268 :rule chain_m_resolution :premises (@p267 @p261) :args (@t203 @t214 @t215)) % 151.24/151.60 (step @p269 :rule instantiate :premises (@p268) :args ((@list @t219 @t218 @t217))) % 151.24/151.60 (step @p270 :rule bool-double-not-elim :args (@t211)) % 151.24/151.60 (step @p271 :rule nary_cong :premises (@p263 @p270) :args ((or @t213 (not @t212)))) % 151.24/151.60 (step @p272 :rule cnf_or_neg :args (@t213 0)) % 151.24/151.60 (step @p273 :rule eq_resolve :premises (@p272 @p271)) % 151.24/151.60 (step @p274 :rule reordering :premises (@p273) :args ((or @t211 @t213))) % 151.24/151.60 (step @p275 :rule chain_m_resolution :premises (@p274 @p261) :args (@t211 @t214 @t215)) % 151.24/151.60 (step @p276 :rule instantiate :premises (@p275) :args ((@list @t201))) % 151.24/151.60 (step @p277 :rule cnf_or_neg :args (@t213 3)) % 151.24/151.60 (step @p278 :rule chain_m_resolution :premises (@p277 @p261) :args ((not @t206) @t214 @t215)) % 151.24/151.60 (step @p279 :rule bool-double-not-elim :args (@t207)) % 151.24/151.60 (step @p280 :rule nary_cong :premises (@p263 @p279) :args ((or @t213 (not @t208)))) % 151.24/151.60 (step @p281 :rule cnf_or_neg :args (@t213 2)) % 151.24/151.60 (step @p282 :rule eq_resolve :premises (@p281 @p280)) % 151.24/151.60 (step @p283 :rule reordering :premises (@p282) :args ((or @t207 @t213))) % 151.24/151.60 (step @p284 :rule chain_m_resolution :premises (@p283 @p261) :args (@t207 @t214 @t215)) % 151.24/151.60 (step @p285 :rule cnf_or_pos :args (@t221)) % 151.24/151.60 (step @p286 :rule reordering :premises (@p285) :args ((or @t208 @t206 @t220 (not @t221)))) % 151.24/151.60 (step @p287 :rule chain_m_resolution :premises (@p286 @p284 @p278 @p276) :args (@t220 (@list false true false) (@list @t207 @t206 @t221))) % 151.24/151.60 (step @p288 :rule skolemize :premises (@p287)) % 151.24/151.60 (step @p289 :rule bool-double-not-elim :args (@t222)) % 151.24/151.60 (step @p290 :rule refl :args (@t227)) % 151.24/151.60 (step @p291 :rule nary_cong :premises (@p290 @p289) :args ((or @t227 (not @t225)))) % 151.24/151.60 (step @p292 :rule cnf_or_neg :args (@t227 1)) % 151.24/151.60 (step @p293 :rule eq_resolve :premises (@p292 @p291)) % 151.24/151.60 (step @p294 :rule reordering :premises (@p293) :args ((or @t222 @t227))) % 151.24/151.60 (step @p295 :rule chain_m_resolution :premises (@p294 @p288) :args (@t222 @t214 @t228)) % 151.24/151.60 (step @p296 :rule cnf_or_neg :args (@t227 0)) % 151.24/151.60 (step @p297 :rule chain_m_resolution :premises (@p296 @p288) :args ((not @t226) @t214 @t228)) % 151.24/151.60 (step @p298 :rule cnf_or_pos :args (@t232)) % 151.24/151.60 (step @p299 :rule reordering :premises (@p298) :args ((or @t226 @t225 @t231 (not @t232)))) % 151.24/151.60 (step @p300 :rule chain_m_resolution :premises (@p299 @p297 @p295 @p269) :args (@t231 (@list true false false) (@list @t226 @t222 @t232))) % 151.24/151.60 (step @p301 :rule skolemize :premises (@p300)) % 151.24/151.60 (step @p302 :rule bool-double-not-elim :args (@t234)) % 151.24/151.60 (step @p303 :rule refl :args (@t237)) % 151.24/151.60 (step @p304 :rule nary_cong :premises (@p303 @p302) :args ((or @t237 (not @t236)))) % 151.24/151.60 (step @p305 :rule cnf_or_neg :args (@t237 0)) % 151.24/151.60 (step @p306 :rule eq_resolve :premises (@p305 @p304)) % 151.24/151.60 (step @p307 :rule reordering :premises (@p306) :args ((or @t234 @t237))) % 151.24/151.60 (step @p308 :rule chain_m_resolution :premises (@p307 @p301) :args (@t234 @t214 @t238)) % 151.24/151.60 (step @p309 :rule cnf_or_neg :args (@t237 2)) % 151.24/151.60 (step @p310 :rule chain_m_resolution :premises (@p309 @p301) :args ((not @t235) @t214 @t238)) % 151.24/151.60 (step @p311 :rule bool-double-not-elim :args (@t223)) % 151.24/151.60 (step @p312 :rule nary_cong :premises (@p290 @p311) :args ((or @t227 (not @t224)))) % 151.24/151.60 (step @p313 :rule cnf_or_neg :args (@t227 2)) % 151.24/151.60 (step @p314 :rule eq_resolve :premises (@p313 @p312)) % 151.24/151.60 (step @p315 :rule reordering :premises (@p314) :args ((or @t223 @t227))) % 151.24/151.60 (step @p316 :rule chain_m_resolution :premises (@p315 @p288) :args (@t223 @t214 @t228)) % 151.24/151.60 (step @p317 :rule cnf_or_pos :args (@t239)) % 151.24/151.60 (step @p318 :rule reordering :premises (@p317) :args ((or @t224 @t235 @t240))) % 151.24/151.60 (step @p319 :rule chain_m_resolution :premises (@p318 @p316 @p310) :args (@t240 (@list false true) (@list @t223 @t235))) % 151.24/151.60 (assume-push @p326 @t234) % 151.24/151.60 (step @p321 :rule instantiate :premises (@p308) :args ((@list @t219 @t218))) % 151.24/151.60 (step-pop @p327 :rule scope :premises (@p321)) % 151.24/151.60 (step @p322 :rule process_scope :premises (@p327) :args (@t239)) % 151.24/151.60 (step @p324 :rule implies_elim :premises (@p322)) % 151.24/151.60 (step @p325 false :rule chain_m_resolution :premises (@p324 @p319 @p308) :args (false (@list true false) (@list @t239 @t234))) % 151.24/151.60 ) % 151.24/151.60 % SZS output end Proof % 151.24/151.60 % cvc5 exiting %------------------------------------------------------------------------------