%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE027+4 : 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 : n008.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 08:28:08 AM UTC 2026 % Result : Theorem 4.14s 4.38s % Output : Proof 4.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE027+4 : 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 % 0.19/0.35 % Computer : n008.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 05:10:48 EDT 2026 % 0.19/0.35 % CPUTime : % 0.35/0.50 %----Proving TF0_NAR, FOF, or CNF % 4.14/4.38 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 4.14/4.38 % SZS status Theorem % 4.14/4.38 % SZS output start Proof % 4.14/4.38 ( % 4.14/4.38 (declare-sort $$unsorted 0) % 4.14/4.38 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 4.14/4.38 (declare-const tptp.test (-> $$unsorted Bool)) % 4.14/4.38 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 4.14/4.38 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 4.14/4.38 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 4.14/4.38 (declare-const tptp.zero $$unsorted) % 4.14/4.38 (declare-const tptp.one $$unsorted) % 4.14/4.38 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 4.14/4.38 (define @t1 () (@var "A" $$unsorted)) % 4.14/4.38 (define @t2 () (@var "B" $$unsorted)) % 4.14/4.38 (define @t3 () (tptp.addition @t1 @t2)) % 4.14/4.38 (define @t4 () (@list @t1 @t2)) % 4.14/4.38 (define @t5 () (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 4.14/4.38 (define @t6 () (@var "C" $$unsorted)) % 4.14/4.38 (define @t7 () (tptp.addition @t2 @t6)) % 4.14/4.38 (define @t8 () (forall (@list @t6 @t2 @t1) (= (tptp.addition @t1 @t7) (tptp.addition @t3 @t6)))) % 4.14/4.38 (define @t9 () (tptp.addition @t1 tptp.zero)) % 4.14/4.38 (define @t10 () (@list @t1)) % 4.14/4.38 (define @t11 () (forall @t10 (= @t9 @t1))) % 4.14/4.38 (define @t12 () (tptp.addition @t1 @t1)) % 4.14/4.38 (define @t13 () (forall @t10 (= @t12 @t1))) % 4.14/4.38 (define @t14 () (tptp.multiplication @t1 @t2)) % 4.14/4.38 (define @t15 () (tptp.multiplication @t2 @t6)) % 4.14/4.38 (define @t16 () (@list @t1 @t2 @t6)) % 4.14/4.38 (define @t17 () (tptp.multiplication @t1 @t6)) % 4.14/4.38 (define @t18 () (tptp.multiplication @t1 tptp.zero)) % 4.14/4.38 (define @t19 () (forall @t10 (= @t18 tptp.zero))) % 4.14/4.38 (define @t20 () (tptp.multiplication tptp.zero @t1)) % 4.14/4.38 (define @t21 () (forall @t10 (= @t20 tptp.zero))) % 4.14/4.38 (define @t22 () (tptp.leq @t1 @t2)) % 4.14/4.38 (define @t23 () (= @t22 (= @t3 @t2))) % 4.14/4.38 (define @t24 () (forall @t4 @t23)) % 4.14/4.38 (define @t25 () (@var "X0" $$unsorted)) % 4.14/4.38 (define @t26 () (@var "X1" $$unsorted)) % 4.14/4.38 (define @t27 () (tptp.complement @t26 @t25)) % 4.14/4.38 (define @t28 () (@list @t26)) % 4.14/4.38 (define @t29 () (exists @t28 @t27)) % 4.14/4.38 (define @t30 () (tptp.test @t25)) % 4.14/4.38 (define @t31 () (= @t30 @t29)) % 4.14/4.38 (define @t32 () (@list @t25)) % 4.14/4.38 (define @t33 () (forall @t32 @t31)) % 4.14/4.38 (define @t34 () (tptp.addition @t25 @t26)) % 4.14/4.38 (define @t35 () (tptp.multiplication @t26 @t25)) % 4.14/4.38 (define @t36 () (tptp.multiplication @t25 @t26)) % 4.14/4.38 (define @t37 () (and (= @t36 tptp.zero) (= @t35 tptp.zero) (= @t34 tptp.one))) % 4.14/4.38 (define @t38 () (= @t27 @t37)) % 4.14/4.38 (define @t39 () (@list @t25 @t26)) % 4.14/4.38 (define @t40 () (forall @t39 @t38)) % 4.14/4.38 (define @t41 () (tptp.complement @t25 @t26)) % 4.14/4.38 (define @t42 () (tptp.c @t25)) % 4.14/4.38 (define @t43 () (= (= @t42 @t26) @t41)) % 4.14/4.38 (define @t44 () (=> @t30 @t43)) % 4.14/4.38 (define @t45 () (forall @t39 @t44)) % 4.14/4.38 (define @t46 () (not @t30)) % 4.14/4.38 (define @t47 () (=> @t46 (= @t42 tptp.zero))) % 4.14/4.38 (define @t48 () (forall @t32 @t47)) % 4.14/4.38 (define @t49 () (tptp.c @t26)) % 4.14/4.38 (define @t50 () (= (tptp.c @t34) (tptp.multiplication @t42 @t49))) % 4.14/4.38 (define @t51 () (tptp.test @t26)) % 4.14/4.38 (define @t52 () (and @t30 @t51)) % 4.14/4.38 (define @t53 () (forall @t39 (=> @t52 @t50))) % 4.14/4.38 (define @t54 () (@var "X2" $$unsorted)) % 4.14/4.38 (define @t55 () (@var "X3" $$unsorted)) % 4.14/4.38 (define @t56 () (tptp.c @t55)) % 4.14/4.38 (define @t57 () (tptp.multiplication @t56 @t54)) % 4.14/4.38 (define @t58 () (tptp.multiplication @t55 @t25)) % 4.14/4.38 (define @t59 () (tptp.addition (tptp.multiplication @t55 (tptp.addition @t58 (tptp.multiplication @t56 @t26))) @t57)) % 4.14/4.38 (define @t60 () (tptp.addition @t58 @t57)) % 4.14/4.38 (define @t61 () (and (tptp.leq @t59 @t60) (tptp.leq @t60 @t59))) % 4.14/4.38 (define @t62 () (@var "X4" $$unsorted)) % 4.14/4.38 (define @t63 () (tptp.test @t62)) % 4.14/4.38 (define @t64 () (tptp.test @t55)) % 4.14/4.38 (define @t65 () (and @t64 @t63)) % 4.14/4.38 (define @t66 () (@list @t25 @t26 @t54 @t55 @t62)) % 4.14/4.38 (define @t67 () (forall @t66 (=> @t65 @t61))) % 4.14/4.38 (define @t68 () (not @t67)) % 4.14/4.38 (define @t69 () (not @t64)) % 4.14/4.38 (define @t70 () (or @t69 @t61)) % 4.14/4.38 (define @t71 () (forall (@list @t25 @t26 @t54 @t55) @t70)) % 4.14/4.38 (define @t72 () (@quantifiers_skolemize @t71 3)) % 4.14/4.38 (define @t73 () (forall @t28 (not (tptp.complement @t26 @t72)))) % 4.14/4.38 (define @t74 () (@quantifiers_skolemize @t73 0)) % 4.14/4.38 (define @t75 () (@list @t74 @t72)) % 4.14/4.38 (define @t76 () (@list @t72 @t74)) % 4.14/4.38 (define @t77 () (@list @t72)) % 4.14/4.38 (define @t78 () (not @t63)) % 4.14/4.38 (define @t79 () (or @t70 @t78)) % 4.14/4.38 (define @t80 () (or @t69 @t78 @t61)) % 4.14/4.38 (define @t81 () (tptp.test @t72)) % 4.14/4.38 (define @t82 () (tptp.c @t72)) % 4.14/4.38 (define @t83 () (tptp.multiplication @t82 (@quantifiers_skolemize @t71 2))) % 4.14/4.38 (define @t84 () (@quantifiers_skolemize @t71 1)) % 4.14/4.38 (define @t85 () (tptp.multiplication @t82 @t84)) % 4.14/4.38 (define @t86 () (@quantifiers_skolemize @t71 0)) % 4.14/4.38 (define @t87 () (tptp.multiplication @t72 @t86)) % 4.14/4.38 (define @t88 () (tptp.addition @t87 @t85)) % 4.14/4.38 (define @t89 () (tptp.multiplication @t72 @t88)) % 4.14/4.38 (define @t90 () (tptp.addition @t89 @t83)) % 4.14/4.38 (define @t91 () (tptp.addition @t87 @t83)) % 4.14/4.38 (define @t92 () (tptp.leq @t91 @t90)) % 4.14/4.38 (define @t93 () (tptp.leq @t90 @t91)) % 4.14/4.38 (define @t94 () (and @t93 @t92)) % 4.14/4.38 (define @t95 () (not @t81)) % 4.14/4.38 (define @t96 () (or @t95 @t94)) % 4.14/4.38 (define @t97 () (@list true)) % 4.14/4.38 (define @t98 () (@list @t96)) % 4.14/4.38 (define @t99 () (not @t73)) % 4.14/4.38 (define @t100 () (= @t81 @t99)) % 4.14/4.38 (define @t101 () (@list false false)) % 4.14/4.38 (define @t102 () (tptp.complement @t74 @t72)) % 4.14/4.38 (define @t103 () (not @t102)) % 4.14/4.38 (define @t104 () (not @t103)) % 4.14/4.38 (define @t105 () (= tptp.one (tptp.addition @t72 @t74))) % 4.14/4.38 (define @t106 () (= tptp.zero (tptp.multiplication @t74 @t72))) % 4.14/4.38 (define @t107 () (= tptp.zero (tptp.multiplication @t72 @t74))) % 4.14/4.38 (define @t108 () (and @t107 @t106 @t105)) % 4.14/4.38 (define @t109 () (= @t102 @t108)) % 4.14/4.38 (define @t110 () (not @t108)) % 4.14/4.38 (define @t111 () (@list false)) % 4.14/4.38 (define @t112 () (@list @t108)) % 4.14/4.38 (define @t113 () (= tptp.one (tptp.addition @t74 @t72))) % 4.14/4.38 (define @t114 () (and @t106 @t107 @t113)) % 4.14/4.38 (define @t115 () (not @t106)) % 4.14/4.38 (define @t116 () (not @t107)) % 4.14/4.38 (define @t117 () (tptp.complement @t72 @t74)) % 4.14/4.38 (define @t118 () (= @t117 @t114)) % 4.14/4.38 (define @t119 () (@list @t74)) % 4.14/4.38 (define @t120 () (= @t26 @t42)) % 4.14/4.38 (define @t121 () (= @t41 @t120)) % 4.14/4.38 (define @t122 () (tptp.multiplication @t72 @t85)) % 4.14/4.38 (define @t123 () (tptp.multiplication @t72 @t87)) % 4.14/4.38 (define @t124 () (tptp.addition @t83 @t91)) % 4.14/4.38 (define @t125 () (tptp.addition @t122 @t124)) % 4.14/4.38 (define @t126 () (tptp.addition @t122 @t83)) % 4.14/4.38 (define @t127 () (tptp.addition @t126 @t91)) % 4.14/4.38 (define @t128 () (= @t125 @t127)) % 4.14/4.38 (define @t129 () (@list @t91 @t83 @t122)) % 4.14/4.38 (define @t130 () (= @t127 @t125)) % 4.14/4.38 (define @t131 () (@list @t8)) % 4.14/4.38 (define @t132 () (tptp.addition @t83 @t122)) % 4.14/4.38 (define @t133 () (tptp.addition @t87 @t132)) % 4.14/4.38 (define @t134 () (tptp.addition @t91 @t122)) % 4.14/4.38 (define @t135 () (= @t133 @t134)) % 4.14/4.38 (define @t136 () (@list @t122 @t83 @t87)) % 4.14/4.38 (define @t137 () (= @t134 @t133)) % 4.14/4.38 (define @t138 () (tptp.addition @t83 @t83)) % 4.14/4.38 (define @t139 () (tptp.addition @t87 @t138)) % 4.14/4.38 (define @t140 () (tptp.addition @t91 @t83)) % 4.14/4.38 (define @t141 () (= @t139 @t140)) % 4.14/4.38 (define @t142 () (@list @t83 @t83 @t87)) % 4.14/4.38 (define @t143 () (= @t140 @t139)) % 4.14/4.38 (define @t144 () (tptp.multiplication @t72 @t82)) % 4.14/4.38 (define @t145 () (= @t117 (= @t74 @t82))) % 4.14/4.38 (define @t146 () (or @t95 @t145)) % 4.14/4.38 (define @t147 () (forall @t39 (or @t46 @t121))) % 4.14/4.38 (define @t148 () (= @t82 @t74)) % 4.14/4.38 (define @t149 () (= @t117 @t148)) % 4.14/4.38 (define @t150 () (or @t95 @t149)) % 4.14/4.38 (define @t151 () (not @t117)) % 4.14/4.38 (define @t152 () (@list @t83)) % 4.14/4.38 (define @t153 () (tptp.leq @t91 @t91)) % 4.14/4.38 (define @t154 () (= @t91 (tptp.addition @t91 @t91))) % 4.14/4.38 (define @t155 () (forall @t4 (= @t22 (= @t2 @t3)))) % 4.14/4.38 (define @t156 () (= @t153 @t154)) % 4.14/4.38 (define @t157 () (= @t154 @t153)) % 4.14/4.38 (define @t158 () (tptp.addition @t83 @t87)) % 4.14/4.38 (define @t159 () (= @t91 @t158)) % 4.14/4.38 (define @t160 () (tptp.addition @t123 @t122)) % 4.14/4.38 (define @t161 () (= @t89 @t160)) % 4.14/4.38 (define @t162 () (tptp.addition @t122 @t123)) % 4.14/4.38 (define @t163 () (= @t160 @t162)) % 4.14/4.38 (define @t164 () (tptp.multiplication @t144 @t84)) % 4.14/4.38 (define @t165 () (= @t122 @t164)) % 4.14/4.38 (define @t166 () (tptp.c @t74)) % 4.14/4.38 (define @t167 () (= @t72 @t166)) % 4.14/4.38 (define @t168 () (= @t124 @t140)) % 4.14/4.38 (define @t169 () (= @t126 @t132)) % 4.14/4.38 (define @t170 () (= tptp.zero @t166)) % 4.14/4.38 (define @t171 () (tptp.addition @t122 @t91)) % 4.14/4.38 (define @t172 () (= @t134 @t171)) % 4.14/4.38 (define @t173 () (tptp.multiplication @t83 @t144)) % 4.14/4.38 (define @t174 () (tptp.multiplication @t173 @t84)) % 4.14/4.38 (define @t175 () (= (tptp.multiplication @t83 @t164) @t174)) % 4.14/4.38 (define @t176 () (tptp.addition @t138 @t89)) % 4.14/4.38 (define @t177 () (tptp.addition @t89 @t138)) % 4.14/4.38 (define @t178 () (= @t177 @t176)) % 4.14/4.38 (define @t179 () (tptp.addition @t126 @t158)) % 4.14/4.38 (define @t180 () (= @t179 (tptp.addition (tptp.addition @t126 @t83) @t87))) % 4.14/4.38 (define @t181 () (tptp.addition @t83 tptp.zero)) % 4.14/4.38 (define @t182 () (= @t83 @t181)) % 4.14/4.38 (define @t183 () (= @t83 @t138)) % 4.14/4.38 (define @t184 () (= @t173 (tptp.multiplication (tptp.multiplication @t83 @t72) @t82))) % 4.14/4.38 (define @t185 () (= tptp.zero (tptp.multiplication @t83 tptp.zero))) % 4.14/4.38 (define @t186 () (= tptp.zero (tptp.multiplication tptp.zero @t84))) % 4.14/4.38 (define @t187 () (tptp.multiplication tptp.zero @t86)) % 4.14/4.38 (define @t188 () (= tptp.zero @t187)) % 4.14/4.38 (define @t189 () (tptp.multiplication tptp.zero @t88)) % 4.14/4.38 (define @t190 () (= tptp.zero @t189)) % 4.14/4.38 (define @t191 () (tptp.multiplication @t83 @t122)) % 4.14/4.38 (define @t192 () (tptp.addition @t83 @t191)) % 4.14/4.38 (define @t193 () (tptp.addition @t138 @t122)) % 4.14/4.38 (define @t194 () (tptp.c @t82)) % 4.14/4.38 (define @t195 () (tptp.multiplication @t82 @t72)) % 4.14/4.38 (define @t196 () (tptp.multiplication @t195 @t86)) % 4.14/4.38 (define @t197 () (tptp.addition @t83 @t126)) % 4.14/4.38 (define @t198 () (tptp.multiplication @t195 @t88)) % 4.14/4.38 (define @t199 () (tptp.addition @t162 @t83)) % 4.14/4.38 (define @t200 () (and @t159 @t161 @t163 @t165 @t107 @t106 @t167 @t168 @t169 @t170 @t172 @t130 @t137 @t143 @t175 @t148 @t178 @t180 @t182 @t183 @t184 @t185 @t186 @t188 @t190 @t153)) % 4.14/4.38 (define @t201 () (not @t153)) % 4.14/4.38 (define @t202 () (not @t190)) % 4.14/4.38 (define @t203 () (not @t188)) % 4.14/4.38 (define @t204 () (not @t186)) % 4.14/4.38 (define @t205 () (not @t185)) % 4.14/4.38 (define @t206 () (not @t184)) % 4.14/4.38 (define @t207 () (not @t183)) % 4.14/4.38 (define @t208 () (not @t182)) % 4.14/4.38 (define @t209 () (not @t180)) % 4.14/4.38 (define @t210 () (not @t178)) % 4.14/4.38 (define @t211 () (not @t148)) % 4.14/4.38 (define @t212 () (not @t175)) % 4.14/4.38 (define @t213 () (not @t143)) % 4.14/4.38 (define @t214 () (not @t137)) % 4.14/4.38 (define @t215 () (not @t130)) % 4.14/4.38 (define @t216 () (not @t172)) % 4.14/4.38 (define @t217 () (not @t170)) % 4.14/4.38 (define @t218 () (not @t169)) % 4.14/4.38 (define @t219 () (not @t168)) % 4.14/4.38 (define @t220 () (not @t167)) % 4.14/4.38 (define @t221 () (not @t165)) % 4.14/4.38 (define @t222 () (not @t163)) % 4.14/4.38 (define @t223 () (not @t161)) % 4.14/4.38 (define @t224 () (not @t159)) % 4.14/4.38 (define @t225 () (tptp.addition @t89 @t158)) % 4.14/4.38 (define @t226 () (tptp.addition @t90 @t87)) % 4.14/4.38 (define @t227 () (= @t225 @t226)) % 4.14/4.38 (define @t228 () (@list @t87 @t83 @t89)) % 4.14/4.38 (define @t229 () (= @t226 @t225)) % 4.14/4.38 (define @t230 () (tptp.addition @t124 @t122)) % 4.14/4.38 (define @t231 () (= @t125 @t230)) % 4.14/4.38 (define @t232 () (@list @t122 @t124)) % 4.14/4.38 (define @t233 () (= @t230 @t125)) % 4.14/4.38 (define @t234 () (tptp.addition @t87 @t90)) % 4.14/4.38 (define @t235 () (tptp.addition @t162 @t124)) % 4.14/4.38 (define @t236 () (tptp.addition @t89 @t139)) % 4.14/4.38 (define @t237 () (tptp.addition @t89 @t87)) % 4.14/4.38 (define @t238 () (tptp.addition @t237 @t83)) % 4.14/4.38 (define @t239 () (= @t234 (tptp.addition @t83 @t234))) % 4.14/4.38 (define @t240 () (tptp.leq @t83 @t234)) % 4.14/4.38 (define @t241 () (= @t240 @t239)) % 4.14/4.38 (define @t242 () (tptp.addition @t83 @t89)) % 4.14/4.38 (define @t243 () (= @t90 @t242)) % 4.14/4.38 (define @t244 () (tptp.addition @t89 @t124)) % 4.14/4.38 (define @t245 () (= @t244 (tptp.addition @t124 @t89))) % 4.14/4.38 (define @t246 () (= @t226 @t234)) % 4.14/4.38 (define @t247 () (tptp.addition @t89 @t91)) % 4.14/4.38 (define @t248 () (= @t247 @t238)) % 4.14/4.38 (define @t249 () (tptp.addition @t237 @t138)) % 4.14/4.38 (define @t250 () (= @t236 @t249)) % 4.14/4.38 (define @t251 () (and @t159 @t243 @t161 @t163 @t165 @t107 @t106 @t167 @t245 @t168 @t246 @t169 @t229 @t170 @t172 @t248 @t130 @t137 @t143 @t175 @t240 @t148 @t233 @t178 @t250 @t180 @t182 @t183 @t184 @t185 @t186 @t188 @t190)) % 4.14/4.38 (define @t252 () (= tptp.zero @t42)) % 4.14/4.38 (define @t253 () (tptp.test @t74)) % 4.14/4.38 (define @t254 () (or @t253 @t170)) % 4.14/4.38 (define @t255 () (not @t51)) % 4.14/4.38 (define @t256 () (tptp.addition @t74 @t74)) % 4.14/4.38 (define @t257 () (tptp.c @t256)) % 4.14/4.38 (define @t258 () (= @t257 (tptp.multiplication @t166 @t166))) % 4.14/4.38 (define @t259 () (not @t253)) % 4.14/4.38 (define @t260 () (or @t259 @t259 @t258)) % 4.14/4.38 (define @t261 () (tptp.addition @t90 @t83)) % 4.14/4.38 (define @t262 () (= @t177 @t261)) % 4.14/4.38 (define @t263 () (@list @t83 @t83 @t89)) % 4.14/4.38 (define @t264 () (= @t261 @t177)) % 4.14/4.38 (define @t265 () (tptp.addition @t123 @t126)) % 4.14/4.38 (define @t266 () (= @t265 (tptp.addition @t160 @t83))) % 4.14/4.38 (define @t267 () (tptp.multiplication @t72 @t72)) % 4.14/4.38 (define @t268 () (tptp.multiplication @t267 @t86)) % 4.14/4.38 (define @t269 () (= @t123 @t268)) % 4.14/4.38 (define @t270 () (tptp.addition @t83 @t90)) % 4.14/4.38 (define @t271 () (= @t270 @t261)) % 4.14/4.38 (define @t272 () (tptp.addition @t126 @t123)) % 4.14/4.38 (define @t273 () (= @t265 @t272)) % 4.14/4.38 (define @t274 () (= @t82 (tptp.addition @t82 @t82))) % 4.14/4.38 (define @t275 () (tptp.addition @t83 @t132)) % 4.14/4.38 (define @t276 () (tptp.addition @t275 @t123)) % 4.14/4.38 (define @t277 () (= (tptp.addition @t83 (tptp.addition @t132 @t123)) @t276)) % 4.14/4.38 (define @t278 () (and @t159 @t161 @t163 @t266 @t165 @t269 @t107 @t167 @t271 @t273 @t169 @t264 @t274 @t175 @t148 @t258 @t277 @t182 @t183 @t184 @t185 @t186 @t153)) % 4.14/4.38 (define @t279 () (not @t277)) % 4.14/4.38 (define @t280 () (not @t258)) % 4.14/4.38 (define @t281 () (not @t274)) % 4.14/4.38 (define @t282 () (not @t264)) % 4.14/4.38 (define @t283 () (not @t273)) % 4.14/4.38 (define @t284 () (not @t271)) % 4.14/4.38 (define @t285 () (not @t269)) % 4.14/4.38 (define @t286 () (not @t266)) % 4.14/4.38 (define @t287 () (= @t102 @t167)) % 4.14/4.38 (define @t288 () (not @t287)) % 4.14/4.38 (define @t289 () (or @t259 @t287)) % 4.14/4.38 (define @t290 () (@list true false)) % 4.14/4.38 (define @t291 () (forall @t28 (not (tptp.complement @t26 @t74)))) % 4.14/4.38 (define @t292 () (not @t291)) % 4.14/4.38 (define @t293 () (= @t253 @t292)) % 4.14/4.38 (define @t294 () (not @t293)) % 4.14/4.38 (assume @p1 @t5) % 4.14/4.38 (assume @p2 @t8) % 4.14/4.38 (assume @p3 @t11) % 4.14/4.38 (assume @p4 @t13) % 4.14/4.38 (assume @p5 (forall @t16 (= (tptp.multiplication @t1 @t15) (tptp.multiplication @t14 @t6)))) % 4.14/4.38 (assume @p6 (forall @t10 (= (tptp.multiplication @t1 tptp.one) @t1))) % 4.14/4.38 (assume @p7 (forall @t10 (= (tptp.multiplication tptp.one @t1) @t1))) % 4.14/4.38 (assume @p8 (forall @t16 (= (tptp.multiplication @t1 @t7) (tptp.addition @t14 @t17)))) % 4.14/4.38 (assume @p9 (forall @t16 (= (tptp.multiplication @t3 @t6) (tptp.addition @t17 @t15)))) % 4.14/4.38 (assume @p10 @t19) % 4.14/4.38 (assume @p11 @t21) % 4.14/4.38 (assume @p12 @t24) % 4.14/4.38 (assume @p13 @t33) % 4.14/4.38 (assume @p14 @t40) % 4.14/4.38 (assume @p15 @t45) % 4.14/4.38 (assume @p16 @t48) % 4.14/4.38 (assume @p17 @t53) % 4.14/4.38 (assume @p18 (forall @t39 (=> @t52 (= (tptp.c @t36) (tptp.addition @t42 @t49))))) % 4.14/4.38 (assume @p19 @t68) % 4.14/4.38 (assume @p20 true) % 4.14/4.38 (step @p21 :rule eq-symm :args (@t34 tptp.one)) % 4.14/4.38 (step @p22 :rule eq-symm :args (@t35 tptp.zero)) % 4.14/4.38 (step @p23 :rule eq-symm :args (@t36 tptp.zero)) % 4.14/4.38 (step @p24 :rule nary_cong :premises (@p23 @p22 @p21) :args (@t37)) % 4.14/4.38 (step @p25 :rule refl :args (@t27)) % 4.14/4.38 (step @p26 :rule cong :premises (@p25 @p24) :args (@t38)) % 4.14/4.38 (step @p27 :rule cong :premises (@p26) :args (@t40)) % 4.14/4.38 (step @p28 :rule eq_resolve :premises (@p14 @p27)) % 4.14/4.38 (step @p29 :rule instantiate :premises (@p28) :args (@t75)) % 4.14/4.38 (step @p30 :rule instantiate :premises (@p1) :args (@t76)) % 4.14/4.38 (step @p31 :rule instantiate :premises (@p28) :args (@t76)) % 4.14/4.38 (step @p32 :rule exists-elim :args ((= @t29 (not (forall @t28 (not @t27)))))) % 4.14/4.38 (step @p33 :rule refl :args (@t30)) % 4.14/4.38 (step @p34 :rule cong :premises (@p33 @p32) :args (@t31)) % 4.14/4.38 (step @p35 :rule cong :premises (@p34) :args (@t33)) % 4.14/4.38 (step @p36 :rule eq_resolve :premises (@p13 @p35)) % 4.14/4.38 (step @p37 :rule instantiate :premises (@p36) :args (@t77)) % 4.14/4.38 (step @p38 :rule quant-miniscope-or :args ((= (forall @t66 @t79) (or @t71 (forall (@list @t62) @t78))))) % 4.14/4.38 (step @p39 :rule aci_norm :args ((= @t80 @t79))) % 4.14/4.38 (step @p40 :rule cong :premises (@p39) :args ((forall @t66 @t80))) % 4.14/4.38 (step @p41 :rule trans :premises (@p40 @p38)) % 4.14/4.38 (step @p42 :rule aci_norm :args ((= (or (or @t69 @t78) @t61) @t80))) % 4.14/4.38 (step @p43 :rule refl :args (@t61)) % 4.14/4.38 (step @p44 :rule bool-and-de-morgan :args (@t64 @t63 true)) % 4.14/4.38 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or (not @t65) @t61))) % 4.14/4.38 (step @p46 :rule trans :premises (@p45 @p42)) % 4.14/4.38 (step @p47 :rule bool-impl-elim :args (@t65 @t61)) % 4.14/4.38 (step @p48 :rule trans :premises (@p47 @p46)) % 4.14/4.38 (step @p49 :rule cong :premises (@p48) :args (@t67)) % 4.14/4.38 (step @p50 :rule trans :premises (@p49 @p41)) % 4.14/4.38 (step @p51 :rule cong :premises (@p50) :args (@t68)) % 4.14/4.38 (step @p52 :rule eq_resolve :premises (@p19 @p51)) % 4.14/4.38 (step @p53 :rule not_or_elim :premises (@p52) :args (0)) % 4.14/4.38 (step @p54 :rule skolemize :premises (@p53)) % 4.14/4.38 (step @p55 :rule bool-double-not-elim :args (@t81)) % 4.14/4.38 (step @p56 :rule refl :args (@t96)) % 4.14/4.38 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or @t96 (not @t95)))) % 4.14/4.38 (step @p58 :rule cnf_or_neg :args (@t96 0)) % 4.14/4.38 (step @p59 :rule eq_resolve :premises (@p58 @p57)) % 4.14/4.38 (step @p60 :rule reordering :premises (@p59) :args ((or @t81 @t96))) % 4.14/4.38 (step @p61 :rule chain_m_resolution :premises (@p60 @p54) :args (@t81 @t97 @t98)) % 4.14/4.38 (step @p62 :rule cnf_equiv_pos1 :args (@t100)) % 4.14/4.38 (step @p63 :rule reordering :premises (@p62) :args ((or @t95 @t99 (not @t100)))) % 4.14/4.38 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p37) :args (@t99 @t101 (@list @t81 @t100))) % 4.14/4.38 (step @p65 :rule refl :args (@t102)) % 4.14/4.38 (step @p66 :rule bool-double-not-elim :args (@t73)) % 4.14/4.38 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or (not @t99) @t102))) % 4.14/4.38 (step @p68 :rule bool-double-not-elim :args (@t102)) % 4.14/4.38 (step @p69 :rule refl :args (@t99)) % 4.14/4.38 (step @p70 :rule cong :premises (@p69 @p68) :args ((=> @t99 @t104))) % 4.14/4.38 (assume-push @p939 @t99) % 4.14/4.38 (step @p72 :rule skolemize :premises (@p64)) % 4.14/4.38 (step-pop @p940 :rule scope :premises (@p72)) % 4.14/4.38 (step @p73 :rule process_scope :premises (@p940) :args (@t104)) % 4.14/4.38 (step @p75 :rule eq_resolve :premises (@p73 @p70)) % 4.14/4.38 (step @p76 :rule implies_elim :premises (@p75)) % 4.14/4.38 (step @p77 :rule eq_resolve :premises (@p76 @p67)) % 4.14/4.38 (step @p78 :rule chain_m_resolution :premises (@p77 @p64) :args (@t102 @t97 (@list @t73))) % 4.14/4.38 (step @p79 :rule cnf_equiv_pos1 :args (@t109)) % 4.14/4.38 (step @p80 :rule reordering :premises (@p79) :args ((or @t103 @t108 (not @t109)))) % 4.14/4.38 (step @p81 :rule chain_m_resolution :premises (@p80 @p78 @p31) :args (@t108 @t101 (@list @t102 @t109))) % 4.14/4.38 (step @p82 :rule cnf_and_pos :args (@t108 2)) % 4.14/4.38 (step @p83 :rule reordering :premises (@p82) :args ((or @t105 @t110))) % 4.14/4.38 (step @p84 :rule chain_m_resolution :premises (@p83 @p81) :args (@t105 @t111 @t112)) % 4.14/4.38 (step @p85 :rule trans :premises (@p84 @p30)) % 4.14/4.38 (step @p86 :rule cnf_and_pos :args (@t108 1)) % 4.14/4.38 (step @p87 :rule reordering :premises (@p86) :args ((or @t106 @t110))) % 4.14/4.38 (step @p88 :rule chain_m_resolution :premises (@p87 @p81) :args (@t106 @t111 @t112)) % 4.14/4.38 (step @p89 :rule cnf_and_pos :args (@t108 0)) % 4.14/4.38 (step @p90 :rule reordering :premises (@p89) :args ((or @t107 @t110))) % 4.14/4.38 (step @p91 :rule chain_m_resolution :premises (@p90 @p81) :args (@t107 @t111 @t112)) % 4.14/4.38 (step @p92 :rule cnf_and_neg :args (@t114)) % 4.14/4.38 (step @p93 :rule reordering :premises (@p92) :args ((or @t116 @t115 @t114 (not @t113)))) % 4.14/4.38 (step @p94 :rule chain_m_resolution :premises (@p93 @p91 @p88 @p85) :args (@t114 (@list false false false) (@list @t107 @t106 @t113))) % 4.14/4.38 (step @p95 :rule cnf_equiv_pos2 :args (@t118)) % 4.14/4.38 (step @p96 :rule reordering :premises (@p95) :args ((or @t117 (not @t114) (not @t118)))) % 4.14/4.38 (step @p97 :rule chain_m_resolution :premises (@p96 @p94 @p29) :args (@t117 @t101 (@list @t114 @t118))) % 4.14/4.38 (step @p98 :rule instantiate :premises (@p36) :args (@t119)) % 4.14/4.38 (step @p99 :rule bool-impl-elim :args (@t30 @t121)) % 4.14/4.38 (step @p100 :rule cong :premises (@p99) :args ((forall @t39 (=> @t30 @t121)))) % 4.14/4.38 (step @p101 :rule eq-symm :args (@t120 @t41)) % 4.14/4.38 (step @p102 :rule refl :args (@t41)) % 4.14/4.38 (step @p103 :rule eq-symm :args (@t42 @t26)) % 4.14/4.38 (step @p104 :rule cong :premises (@p103 @p102) :args (@t43)) % 4.14/4.38 (step @p105 :rule trans :premises (@p104 @p101)) % 4.14/4.38 (step @p106 :rule cong :premises (@p33 @p105) :args (@t44)) % 4.14/4.38 (step @p107 :rule cong :premises (@p106) :args (@t45)) % 4.14/4.38 (step @p108 :rule trans :premises (@p107 @p100)) % 4.14/4.38 (step @p109 :rule eq_resolve :premises (@p15 @p108)) % 4.14/4.38 (step @p110 :rule instantiate :premises (@p109) :args (@t75)) % 4.14/4.38 (step @p111 :rule instantiate :premises (@p1) :args ((@list @t87 @t83))) % 4.14/4.38 (step @p112 :rule instantiate :premises (@p8) :args ((@list @t72 @t87 @t85))) % 4.14/4.38 (step @p113 :rule instantiate :premises (@p1) :args ((@list @t123 @t122))) % 4.14/4.38 (step @p114 :rule instantiate :premises (@p5) :args ((@list @t72 @t82 @t84))) % 4.14/4.38 (step @p115 :rule instantiate :premises (@p1) :args ((@list @t83 @t91))) % 4.14/4.38 (step @p116 :rule instantiate :premises (@p1) :args ((@list @t122 @t83))) % 4.14/4.38 (step @p117 :rule instantiate :premises (@p1) :args ((@list @t91 @t122))) % 4.14/4.38 (step @p118 :rule eq-symm :args (@t125 @t127)) % 4.14/4.38 (step @p119 :rule refl :args (@t8)) % 4.14/4.38 (step @p120 :rule cong :premises (@p119 @p118) :args ((=> @t8 @t128))) % 4.14/4.38 (assume-push @p941 @t8) % 4.14/4.38 (step @p122 :rule instantiate :premises (@p2) :args (@t129)) % 4.14/4.38 (step-pop @p942 :rule scope :premises (@p122)) % 4.14/4.38 (step @p123 :rule process_scope :premises (@p942) :args (@t128)) % 4.14/4.38 (step @p125 :rule eq_resolve :premises (@p123 @p120)) % 4.14/4.38 (step @p126 :rule implies_elim :premises (@p125)) % 4.14/4.38 (step @p127 :rule chain_m_resolution :premises (@p126 @p2) :args (@t130 @t111 @t131)) % 4.14/4.38 (step @p128 :rule eq-symm :args (@t133 @t134)) % 4.14/4.38 (step @p129 :rule cong :premises (@p119 @p128) :args ((=> @t8 @t135))) % 4.14/4.38 (assume-push @p943 @t8) % 4.14/4.38 (step @p131 :rule instantiate :premises (@p2) :args (@t136)) % 4.14/4.38 (step-pop @p944 :rule scope :premises (@p131)) % 4.14/4.38 (step @p132 :rule process_scope :premises (@p944) :args (@t135)) % 4.14/4.38 (step @p134 :rule eq_resolve :premises (@p132 @p129)) % 4.14/4.38 (step @p135 :rule implies_elim :premises (@p134)) % 4.14/4.38 (step @p136 :rule chain_m_resolution :premises (@p135 @p2) :args (@t137 @t111 @t131)) % 4.14/4.38 (step @p137 :rule eq-symm :args (@t139 @t140)) % 4.14/4.38 (step @p138 :rule cong :premises (@p119 @p137) :args ((=> @t8 @t141))) % 4.14/4.38 (assume-push @p945 @t8) % 4.14/4.38 (step @p140 :rule instantiate :premises (@p2) :args (@t142)) % 4.14/4.38 (step-pop @p946 :rule scope :premises (@p140)) % 4.14/4.38 (step @p141 :rule process_scope :premises (@p946) :args (@t141)) % 4.14/4.38 (step @p143 :rule eq_resolve :premises (@p141 @p138)) % 4.14/4.38 (step @p144 :rule implies_elim :premises (@p143)) % 4.14/4.38 (step @p145 :rule chain_m_resolution :premises (@p144 @p2) :args (@t143 @t111 @t131)) % 4.14/4.38 (step @p146 :rule instantiate :premises (@p5) :args ((@list @t83 @t144 @t84))) % 4.14/4.38 (step @p147 :rule eq-symm :args (@t74 @t82)) % 4.14/4.38 (step @p148 :rule refl :args (@t117)) % 4.14/4.38 (step @p149 :rule cong :premises (@p148 @p147) :args (@t145)) % 4.14/4.38 (step @p150 :rule refl :args (@t95)) % 4.14/4.38 (step @p151 :rule nary_cong :premises (@p150 @p149) :args (@t146)) % 4.14/4.38 (step @p152 :rule refl :args (@t147)) % 4.14/4.38 (step @p153 :rule cong :premises (@p152 @p151) :args ((=> @t147 @t146))) % 4.14/4.38 (assume-push @p947 @t147) % 4.14/4.38 (step @p155 :rule instantiate :premises (@p109) :args (@t76)) % 4.14/4.38 (step-pop @p948 :rule scope :premises (@p155)) % 4.14/4.38 (step @p156 :rule process_scope :premises (@p948) :args (@t146)) % 4.14/4.38 (step @p158 :rule eq_resolve :premises (@p156 @p153)) % 4.14/4.38 (step @p159 :rule implies_elim :premises (@p158)) % 4.14/4.38 (step @p160 :rule chain_m_resolution :premises (@p159 @p109) :args (@t150 @t111 (@list @t147))) % 4.14/4.38 (step @p161 :rule cnf_or_pos :args (@t150)) % 4.14/4.38 (step @p162 :rule reordering :premises (@p161) :args ((or @t95 @t149 (not @t150)))) % 4.14/4.38 (step @p163 :rule chain_m_resolution :premises (@p162 @p61 @p160) :args (@t149 @t101 (@list @t81 @t150))) % 4.14/4.38 (step @p164 :rule cnf_equiv_pos1 :args (@t149)) % 4.14/4.38 (step @p165 :rule reordering :premises (@p164) :args ((or @t151 @t148 (not @t149)))) % 4.14/4.38 (step @p166 :rule chain_m_resolution :premises (@p165 @p97 @p163) :args (@t148 @t101 (@list @t117 @t149))) % 4.14/4.38 (step @p167 :rule instantiate :premises (@p1) :args ((@list @t89 @t138))) % 4.14/4.38 (step @p168 :rule instantiate :premises (@p2) :args ((@list @t87 @t83 @t126))) % 4.14/4.38 (step @p169 :rule eq-symm :args (@t9 @t1)) % 4.14/4.38 (step @p170 :rule cong :premises (@p169) :args (@t11)) % 4.14/4.38 (step @p171 :rule eq_resolve :premises (@p3 @p170)) % 4.14/4.38 (step @p172 :rule instantiate :premises (@p171) :args (@t152)) % 4.14/4.38 (step @p173 :rule eq-symm :args (@t12 @t1)) % 4.14/4.38 (step @p174 :rule cong :premises (@p173) :args (@t13)) % 4.14/4.38 (step @p175 :rule eq_resolve :premises (@p4 @p174)) % 4.14/4.38 (step @p176 :rule instantiate :premises (@p175) :args (@t152)) % 4.14/4.38 (step @p177 :rule instantiate :premises (@p5) :args ((@list @t83 @t72 @t82))) % 4.14/4.38 (step @p178 :rule eq-symm :args (@t18 tptp.zero)) % 4.14/4.38 (step @p179 :rule cong :premises (@p178) :args (@t19)) % 4.14/4.38 (step @p180 :rule eq_resolve :premises (@p10 @p179)) % 4.14/4.38 (step @p181 :rule instantiate :premises (@p180) :args (@t152)) % 4.14/4.38 (step @p182 :rule eq-symm :args (@t20 tptp.zero)) % 4.14/4.38 (step @p183 :rule cong :premises (@p182) :args (@t21)) % 4.14/4.38 (step @p184 :rule eq_resolve :premises (@p11 @p183)) % 4.14/4.38 (step @p185 :rule instantiate :premises (@p184) :args ((@list @t84))) % 4.14/4.38 (step @p186 :rule instantiate :premises (@p184) :args ((@list @t86))) % 4.14/4.38 (step @p187 :rule instantiate :premises (@p184) :args ((@list @t88))) % 4.14/4.38 (step @p188 :rule eq-symm :args (@t3 @t2)) % 4.14/4.38 (step @p189 :rule refl :args (@t22)) % 4.14/4.38 (step @p190 :rule cong :premises (@p189 @p188) :args (@t23)) % 4.14/4.38 (step @p191 :rule cong :premises (@p190) :args (@t24)) % 4.14/4.38 (step @p192 :rule eq_resolve :premises (@p12 @p191)) % 4.14/4.38 (step @p193 :rule eq-symm :args (@t153 @t154)) % 4.14/4.38 (step @p194 :rule refl :args (@t155)) % 4.14/4.38 (step @p195 :rule cong :premises (@p194 @p193) :args ((=> @t155 @t156))) % 4.14/4.38 (assume-push @p949 @t155) % 4.14/4.38 (step @p197 :rule instantiate :premises (@p192) :args ((@list @t91 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(assume-push @p1299 @t148) % 4.14/4.38 (assume-push @p1300 @t258) % 4.14/4.38 (assume-push @p1301 @t277) % 4.14/4.38 (assume-push @p1302 @t182) % 4.14/4.38 (assume-push @p1303 @t183) % 4.14/4.38 (assume-push @p1304 @t184) % 4.14/4.38 (assume-push @p1305 @t185) % 4.14/4.38 (assume-push @p1306 @t186) % 4.14/4.38 (assume-push @p1307 @t153) % 4.14/4.38 (assume-push @p1308 @t277) % 4.14/4.38 (assume-push @p1309 @t153) % 4.14/4.38 (assume-push @p1310 @t186) % 4.14/4.38 (assume-push @p1311 @t175) % 4.14/4.38 (assume-push @p1312 @t185) % 4.14/4.38 (assume-push @p1313 @t184) % 4.14/4.38 (assume-push @p1314 @t183) % 4.14/4.38 (assume-push @p1315 @t161) % 4.14/4.38 (assume-push @p1316 @t274) % 4.14/4.38 (assume-push @p1317 @t169) % 4.14/4.38 (assume-push @p1318 @t163) % 4.14/4.38 (assume-push @p1319 @t258) % 4.14/4.38 (assume-push @p1320 @t266) % 4.14/4.38 (assume-push @p1321 @t269) % 4.14/4.38 (assume-push @p1322 @t165) % 4.14/4.38 (assume-push @p1323 @t159) % 4.14/4.38 (assume-push @p1324 @t107) % 4.14/4.38 (assume-push @p1325 @t271) % 4.14/4.38 (assume-push @p1326 @t273) % 4.14/4.38 (assume-push @p1327 @t182) % 4.14/4.38 (assume-push @p1328 @t264) % 4.14/4.38 (assume-push @p1329 @t167) % 4.14/4.38 (assume-push @p1330 @t148) % 4.14/4.38 (step @p259 :rule true_intro :premises (@p206)) % 4.14/4.38 (step @p297 :rule refl :args (@t86)) % 4.14/4.38 (step @p850 :rule symm :premises (@p1292)) % 4.14/4.38 (step @p299 :rule cong :premises (@p166) :args (@t194)) % 4.14/4.38 (step @p851 :rule trans :premises (@p299 @p850)) % 4.14/4.38 (step @p722 :rule symm :premises (@p672)) % 4.14/4.38 (step @p723 :rule symm :premises (@p166)) % 4.14/4.38 (step @p724 :rule cong :premises (@p723 @p723) :args (@t256)) % 4.14/4.38 (step @p725 :rule trans :premises (@p724 @p722)) % 4.14/4.38 (step @p726 :rule cong :premises (@p725) :args (@t257)) % 4.14/4.38 (step @p852 :rule symm :premises (@p1300)) % 4.14/4.38 (step @p853 :rule cong :premises (@p1292 @p1292) :args (@t267)) % 4.14/4.38 (step @p854 :rule trans :premises (@p853 @p852 @p726)) % 4.14/4.38 (step @p855 :rule trans :premises (@p854 @p851)) % 4.14/4.38 (step @p856 :rule cong :premises (@p855 @p297) :args (@t268)) % 4.14/4.38 (step @p857 :rule trans :premises (@p660 @p856)) % 4.14/4.38 (step @p260 :rule symm :premises (@p176)) % 4.14/4.38 (step @p263 :rule symm :premises (@p172)) % 4.14/4.38 (step @p264 :rule symm :premises (@p185)) % 4.14/4.38 (step @p265 :rule refl :args (@t84)) % 4.14/4.38 (step @p266 :rule symm :premises (@p181)) % 4.14/4.38 (step @p267 :rule symm :premises (@p91)) % 4.14/4.38 (step @p268 :rule refl :args (@t72)) % 4.14/4.38 (step @p269 :rule cong :premises (@p268 @p166) :args (@t144)) % 4.14/4.38 (step @p270 :rule trans :premises (@p269 @p267)) % 4.14/4.38 (step @p272 :rule cong :premises (@p271 @p270) :args (@t173)) % 4.14/4.38 (step @p273 :rule symm :premises (@p177)) % 4.14/4.38 (step @p274 :rule trans :premises (@p273 @p272 @p266)) % 4.14/4.38 (step @p275 :rule trans :premises (@p177 @p274)) % 4.14/4.38 (step @p276 :rule cong :premises (@p275 @p265) :args (@t174)) % 4.14/4.38 (step @p277 :rule cong :premises (@p271 @p114) :args (@t191)) % 4.14/4.38 (step @p278 :rule trans :premises (@p277 @p146 @p276 @p264)) % 4.14/4.38 (step @p279 :rule cong :premises (@p271 @p278) :args (@t192)) % 4.14/4.38 (step @p280 :rule symm :premises (@p277)) % 4.14/4.38 (step @p281 :rule symm :premises (@p146)) % 4.14/4.38 (step @p282 :rule symm :premises (@p276)) % 4.14/4.38 (step @p283 :rule cong :premises (@p270 @p265) :args (@t164)) % 4.14/4.38 (step @p284 :rule trans :premises (@p114 @p283 @p282 @p281 @p280)) % 4.14/4.38 (step @p285 :rule cong :premises (@p260 @p284) :args (@t193)) % 4.14/4.38 (step @p286 :rule refl :args (@t122)) % 4.14/4.38 (step @p287 :rule cong :premises (@p176 @p286) :args (@t132)) % 4.14/4.38 (step @p733 :rule trans :premises (@p116 @p287 @p285 @p279 @p263 @p176)) % 4.14/4.38 (step @p316 :rule symm :premises (@p116)) % 4.14/4.38 (step @p317 :rule symm :premises (@p287)) % 4.14/4.38 (step @p318 :rule symm :premises (@p285)) % 4.14/4.38 (step @p319 :rule symm :premises (@p279)) % 4.14/4.38 (step @p311 :rule trans :premises (@p116 @p287 @p285 @p279 @p263)) % 4.14/4.38 (step @p734 :rule cong :premises (@p271 @p311) :args (@t197)) % 4.14/4.38 (step @p735 :rule cong :premises (@p271 @p316) :args (@t275)) % 4.14/4.38 (step @p736 :rule trans :premises (@p735 @p734 @p260 @p172 @p319 @p318 @p317 @p316)) % 4.14/4.38 (step @p737 :rule trans :premises (@p736 @p733 @p260)) % 4.14/4.38 (step @p858 :rule cong :premises (@p737 @p857) :args (@t276)) % 4.14/4.38 (step @p739 :rule refl :args (@t123)) % 4.14/4.38 (step @p740 :rule cong :premises (@p116 @p739) :args (@t272)) % 4.14/4.38 (step @p741 :rule symm :premises (@p659)) % 4.14/4.38 (step @p742 :rule cong :premises (@p112 @p271) :args (@t90)) % 4.14/4.38 (step @p743 :rule trans :premises (@p742 @p741 @p662 @p740)) % 4.14/4.38 (step @p744 :rule cong :premises (@p271 @p743) :args (@t270)) % 4.14/4.38 (step @p745 :rule symm :premises (@p661)) % 4.14/4.38 (step @p666 :rule instantiate :premises (@p2) :args (@t263)) % 4.14/4.38 (step @p336 :rule cong :premises (@p335 @p176) :args (@t199)) % 4.14/4.38 (step @p338 :rule cong :premises (@p337 @p271) :args (@t90)) % 4.14/4.38 (step @p859 :rule trans :premises (@p338 @p336 @p666 @p745 @p744 @p673 @p858 @p293)) % 4.14/4.38 (step @p324 :rule refl :args (@t91)) % 4.14/4.38 (step @p860 :rule cong :premises (@p324 @p859) :args (@t92)) % 4.14/4.38 (step @p861 :rule symm :premises (@p859)) % 4.14/4.38 (step @p862 :rule cong :premises (@p859 @p861) :args (@t93)) % 4.14/4.38 (step @p863 :rule trans :premises (@p862 @p860 @p259)) % 4.14/4.38 (step @p864 :rule true_elim :premises (@p863)) % 4.14/4.38 (step-pop @p1331 :rule scope :premises (@p864)) % 4.14/4.38 (step-pop @p1332 :rule scope :premises (@p1331)) % 4.14/4.38 (step-pop @p1333 :rule scope :premises (@p1332)) % 4.14/4.38 (step-pop @p1334 :rule scope :premises (@p1333)) % 4.14/4.38 (step-pop @p1335 :rule scope :premises (@p1334)) % 4.14/4.38 (step-pop @p1336 :rule scope :premises (@p1335)) % 4.14/4.38 (step-pop @p1337 :rule scope :premises (@p1336)) % 4.14/4.38 (step-pop @p1338 :rule scope :premises (@p1337)) % 4.14/4.38 (step-pop @p1339 :rule scope :premises (@p1338)) % 4.14/4.38 (step-pop @p1340 :rule scope :premises (@p1339)) % 4.14/4.38 (step-pop @p1341 :rule scope :premises (@p1340)) % 4.14/4.38 (step-pop @p1342 :rule scope :premises (@p1341)) % 4.14/4.38 (step-pop @p1343 :rule scope :premises (@p1342)) % 4.14/4.38 (step-pop @p1344 :rule scope :premises (@p1343)) % 4.14/4.38 (step-pop @p1345 :rule scope :premises (@p1344)) % 4.14/4.38 (step-pop @p1346 :rule scope :premises (@p1345)) % 4.14/4.38 (step-pop @p1347 :rule scope :premises (@p1346)) % 4.14/4.38 (step-pop @p1348 :rule scope :premises (@p1347)) % 4.14/4.38 (step-pop @p1349 :rule scope :premises (@p1348)) % 4.14/4.38 (step-pop @p1350 :rule scope :premises (@p1349)) % 4.14/4.38 (step-pop @p1351 :rule scope :premises (@p1350)) % 4.14/4.38 (step-pop @p1352 :rule scope :premises (@p1351)) % 4.14/4.38 (step-pop @p1353 :rule scope :premises (@p1352)) % 4.14/4.38 (step @p865 :rule process_scope :premises (@p1353) :args (@t93)) % 4.14/4.38 (step @p889 :rule and_intro :premises (@p673 @p206 @p185 @p146 @p181 @p177 @p176 @p112 @p672 @p116 @p113 @p1300 @p659 @p660 @p114 @p111 @p91 @p661 @p662 @p172 @p671 @p1292 @p166)) % 4.14/4.38 (step @p890 :rule modus_ponens :premises (@p889 @p865)) % 4.14/4.38 (step-pop @p1354 :rule scope :premises (@p890)) % 4.14/4.38 (step-pop @p1355 :rule scope :premises (@p1354)) % 4.14/4.38 (step-pop @p1356 :rule scope :premises (@p1355)) % 4.14/4.38 (step-pop @p1357 :rule scope :premises (@p1356)) % 4.14/4.38 (step-pop @p1358 :rule scope :premises (@p1357)) % 4.14/4.38 (step-pop @p1359 :rule scope :premises (@p1358)) % 4.14/4.38 (step-pop @p1360 :rule scope :premises (@p1359)) % 4.14/4.38 (step-pop @p1361 :rule scope :premises (@p1360)) % 4.14/4.38 (step-pop @p1362 :rule scope :premises (@p1361)) % 4.14/4.38 (step-pop @p1363 :rule scope :premises (@p1362)) % 4.14/4.38 (step-pop @p1364 :rule scope :premises (@p1363)) % 4.14/4.38 (step-pop @p1365 :rule scope :premises (@p1364)) % 4.14/4.38 (step-pop @p1366 :rule scope :premises (@p1365)) % 4.14/4.38 (step-pop @p1367 :rule scope :premises (@p1366)) % 4.14/4.38 (step-pop @p1368 :rule scope :premises (@p1367)) % 4.14/4.38 (step-pop @p1369 :rule scope :premises (@p1368)) % 4.14/4.38 (step-pop @p1370 :rule scope :premises (@p1369)) % 4.14/4.38 (step-pop @p1371 :rule scope :premises (@p1370)) % 4.14/4.38 (step-pop @p1372 :rule scope :premises (@p1371)) % 4.14/4.38 (step-pop @p1373 :rule scope :premises (@p1372)) % 4.14/4.38 (step-pop @p1374 :rule scope :premises (@p1373)) % 4.14/4.38 (step-pop @p1375 :rule scope :premises (@p1374)) % 4.14/4.38 (step-pop @p1376 :rule scope :premises (@p1375)) % 4.14/4.38 (step @p891 :rule process_scope :premises (@p1376) :args (@t93)) % 4.14/4.38 (step @p915 :rule implies_elim :premises (@p891)) % 4.14/4.38 (step @p916 :rule resolution :premises (@p801 @p915) :args (true @t278)) % 4.14/4.38 (step @p917 :rule reordering :premises (@p916) :args ((or @t93 @t224 @t223 @t222 @t286 @t221 @t285 @t116 @t220 @t284 @t283 @t218 @t282 @t281 @t212 @t211 @t280 @t279 @t208 @t207 @t206 @t205 @t204 @t201))) % 4.14/4.38 (step @p918 :rule chain_m_resolution :premises (@p629 @p628 @p917 @p206 @p185 @p181 @p177 @p176 @p172 @p673 @p166 @p146 @p672 @p671 @p116 @p662 @p661 @p91 @p660 @p114 @p659 @p113 @p112 @p111 @p803 @p206 @p185 @p181 @p177 @p176 @p172 @p673 @p166 @p146 @p672 @p671 @p116 @p662 @p661 @p91 @p660 @p114 @p659 @p113 @p112 @p111 @p658 @p655 @p645 @p643 @p630) :args (@t220 (@list true false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t94 @t93 @t153 @t186 @t185 @t184 @t183 @t182 @t277 @t148 @t175 @t274 @t264 @t169 @t273 @t271 @t107 @t269 @t165 @t266 @t163 @t161 @t159 @t92 @t153 @t186 @t185 @t184 @t183 @t182 @t277 @t148 @t175 @t274 @t264 @t169 @t273 @t271 @t107 @t269 @t165 @t266 @t163 @t161 @t159 @t258 @t260 @t253 @t254 @t170))) % 4.14/4.38 (step @p919 :rule cnf_equiv_pos1 :args (@t287)) % 4.14/4.38 (step @p920 :rule reordering :premises (@p919) :args ((or @t103 @t167 @t288))) % 4.14/4.38 (step @p921 :rule chain_m_resolution :premises (@p920 @p78 @p918) :args (@t288 (@list false true) (@list @t102 @t167))) % 4.14/4.38 (step @p922 :rule cnf_or_pos :args (@t289)) % 4.14/4.38 (step @p923 :rule reordering :premises (@p922) :args ((or @t259 @t287 (not @t289)))) % 4.14/4.38 (step @p924 :rule chain_m_resolution :premises (@p923 @p921 @p110) :args (@t259 @t290 (@list @t287 @t289))) % 4.14/4.38 (step @p925 :rule bool-double-not-elim :args (@t291)) % 4.14/4.38 (step @p926 :rule refl :args (@t253)) % 4.14/4.38 (step @p927 :rule refl :args (@t294)) % 4.14/4.38 (step @p928 :rule nary_cong :premises (@p927 @p926 @p925) :args ((or @t294 @t253 (not @t292)))) % 4.14/4.40 (step @p929 :rule cnf_equiv_pos2 :args (@t293)) % 4.14/4.40 (step @p930 :rule eq_resolve :premises (@p929 @p928)) % 4.14/4.40 (step @p931 :rule reordering :premises (@p930) :args ((or @t253 @t291 @t294))) % 4.14/4.40 (step @p932 :rule chain_m_resolution :premises (@p931 @p924 @p98) :args (@t291 @t290 (@list @t253 @t293))) % 4.14/4.40 (assume-push @p1377 @t291) % 4.14/4.40 (step @p934 :rule instantiate :premises (@p1377) :args (@t77)) % 4.14/4.40 (step-pop @p1378 :rule scope :premises (@p934)) % 4.14/4.40 (step @p935 :rule process_scope :premises (@p1378) :args (@t151)) % 4.14/4.40 (step @p937 :rule implies_elim :premises (@p935)) % 4.14/4.40 (step @p938 false :rule chain_m_resolution :premises (@p937 @p932 @p97) :args (false @t101 (@list @t291 @t117))) % 4.14/4.40 ) % 4.14/4.40 % SZS output end Proof % 4.14/4.40 % cvc5 exiting %------------------------------------------------------------------------------