%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE014+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 08:28:05 AM UTC 2026 % Result : Theorem 17.31s 17.57s % Output : Proof 17.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE014+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.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 05:10:03 EDT 2026 % 0.17/0.34 % CPUTime : % 0.23/0.50 %----Proving TF0_NAR, FOF, or CNF % 17.31/17.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 17.31/17.57 --- Run --no-e-matching --full-saturate-quant at 6... % 17.31/17.57 % SZS status Theorem % 17.31/17.57 % SZS output start Proof % 17.31/17.57 ( % 17.31/17.57 (declare-sort $$unsorted 0) % 17.31/17.57 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 17.31/17.57 (declare-const tptp.test (-> $$unsorted Bool)) % 17.31/17.57 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 17.31/17.57 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 17.31/17.57 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 17.31/17.57 (declare-const tptp.zero $$unsorted) % 17.31/17.57 (declare-const tptp.one $$unsorted) % 17.31/17.57 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 17.31/17.57 (define @t1 () (@var "A" $$unsorted)) % 17.31/17.57 (define @t2 () (@var "B" $$unsorted)) % 17.31/17.57 (define @t3 () (tptp.addition @t1 @t2)) % 17.31/17.57 (define @t4 () (@list @t1 @t2)) % 17.31/17.57 (define @t5 () (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 17.31/17.57 (define @t6 () (@var "C" $$unsorted)) % 17.31/17.57 (define @t7 () (tptp.addition @t2 @t6)) % 17.31/17.57 (define @t8 () (tptp.addition @t1 tptp.zero)) % 17.31/17.57 (define @t9 () (@list @t1)) % 17.31/17.57 (define @t10 () (forall @t9 (= @t8 @t1))) % 17.31/17.57 (define @t11 () (tptp.addition @t1 @t1)) % 17.31/17.57 (define @t12 () (forall @t9 (= @t11 @t1))) % 17.31/17.57 (define @t13 () (tptp.multiplication @t1 @t2)) % 17.31/17.57 (define @t14 () (tptp.multiplication @t2 @t6)) % 17.31/17.57 (define @t15 () (@list @t1 @t2 @t6)) % 17.31/17.57 (define @t16 () (tptp.multiplication @t1 tptp.one)) % 17.31/17.57 (define @t17 () (forall @t9 (= @t16 @t1))) % 17.31/17.57 (define @t18 () (tptp.multiplication tptp.one @t1)) % 17.31/17.57 (define @t19 () (forall @t9 (= @t18 @t1))) % 17.31/17.57 (define @t20 () (tptp.multiplication @t1 @t6)) % 17.31/17.57 (define @t21 () (tptp.multiplication @t1 tptp.zero)) % 17.31/17.57 (define @t22 () (forall @t9 (= @t21 tptp.zero))) % 17.31/17.57 (define @t23 () (tptp.multiplication tptp.zero @t1)) % 17.31/17.57 (define @t24 () (forall @t9 (= @t23 tptp.zero))) % 17.31/17.57 (define @t25 () (tptp.leq @t1 @t2)) % 17.31/17.57 (define @t26 () (= @t25 (= @t3 @t2))) % 17.31/17.57 (define @t27 () (forall @t4 @t26)) % 17.31/17.57 (define @t28 () (@var "X0" $$unsorted)) % 17.31/17.57 (define @t29 () (@var "X1" $$unsorted)) % 17.31/17.57 (define @t30 () (tptp.complement @t29 @t28)) % 17.31/17.57 (define @t31 () (@list @t29)) % 17.31/17.57 (define @t32 () (exists @t31 @t30)) % 17.31/17.57 (define @t33 () (tptp.test @t28)) % 17.31/17.57 (define @t34 () (= @t33 @t32)) % 17.31/17.57 (define @t35 () (@list @t28)) % 17.31/17.57 (define @t36 () (forall @t35 @t34)) % 17.31/17.57 (define @t37 () (tptp.addition @t28 @t29)) % 17.31/17.57 (define @t38 () (tptp.multiplication @t29 @t28)) % 17.31/17.57 (define @t39 () (tptp.multiplication @t28 @t29)) % 17.31/17.57 (define @t40 () (and (= @t39 tptp.zero) (= @t38 tptp.zero) (= @t37 tptp.one))) % 17.31/17.57 (define @t41 () (= @t30 @t40)) % 17.31/17.57 (define @t42 () (@list @t28 @t29)) % 17.31/17.57 (define @t43 () (forall @t42 @t41)) % 17.31/17.57 (define @t44 () (tptp.complement @t28 @t29)) % 17.31/17.57 (define @t45 () (tptp.c @t28)) % 17.31/17.57 (define @t46 () (= (= @t45 @t29) @t44)) % 17.31/17.57 (define @t47 () (=> @t33 @t46)) % 17.31/17.57 (define @t48 () (forall @t42 @t47)) % 17.31/17.57 (define @t49 () (not @t33)) % 17.31/17.57 (define @t50 () (=> @t49 (= @t45 tptp.zero))) % 17.31/17.57 (define @t51 () (forall @t35 @t50)) % 17.31/17.57 (define @t52 () (tptp.c @t37)) % 17.31/17.57 (define @t53 () (tptp.multiplication @t45 (tptp.c @t29))) % 17.31/17.57 (define @t54 () (and (tptp.leq @t52 @t53) (tptp.leq @t53 @t52))) % 17.31/17.57 (define @t55 () (tptp.test @t29)) % 17.31/17.57 (define @t56 () (and @t55 @t33)) % 17.31/17.57 (define @t57 () (forall @t42 (=> @t56 @t54))) % 17.31/17.57 (define @t58 () (not @t57)) % 17.31/17.57 (define @t59 () (not @t55)) % 17.31/17.57 (define @t60 () (or @t59 @t49 @t54)) % 17.31/17.57 (define @t61 () (forall @t42 @t60)) % 17.31/17.57 (define @t62 () (@quantifiers_skolemize @t61 1)) % 17.31/17.57 (define @t63 () (tptp.c @t62)) % 17.31/17.57 (define @t64 () (@quantifiers_skolemize @t61 0)) % 17.31/17.57 (define @t65 () (tptp.c @t64)) % 17.31/17.57 (define @t66 () (tptp.multiplication @t65 @t63)) % 17.31/17.57 (define @t67 () (tptp.addition @t64 @t62)) % 17.31/17.57 (define @t68 () (@list @t67 @t66)) % 17.31/17.57 (define @t69 () (tptp.addition @t67 @t66)) % 17.31/17.57 (define @t70 () (tptp.addition @t66 @t67)) % 17.31/17.57 (define @t71 () (= @t69 @t70)) % 17.31/17.57 (define @t72 () (@list false)) % 17.31/17.57 (define @t73 () (@list @t5)) % 17.31/17.57 (define @t74 () (tptp.addition @t62 @t64)) % 17.31/17.57 (define @t75 () (= @t29 @t45)) % 17.31/17.57 (define @t76 () (= @t44 @t75)) % 17.31/17.57 (define @t77 () (forall @t31 (not (tptp.complement @t29 @t62)))) % 17.31/17.57 (define @t78 () (@quantifiers_skolemize @t77 0)) % 17.31/17.57 (define @t79 () (tptp.complement @t62 @t78)) % 17.31/17.57 (define @t80 () (= @t79 (= @t78 @t63))) % 17.31/17.57 (define @t81 () (tptp.test @t62)) % 17.31/17.57 (define @t82 () (not @t81)) % 17.31/17.57 (define @t83 () (or @t82 @t80)) % 17.31/17.57 (define @t84 () (forall @t42 (or @t49 @t76))) % 17.31/17.57 (define @t85 () (@list @t62 @t78)) % 17.31/17.57 (define @t86 () (= @t63 @t78)) % 17.31/17.57 (define @t87 () (= @t79 @t86)) % 17.31/17.57 (define @t88 () (or @t82 @t87)) % 17.31/17.57 (define @t89 () (@list @t84)) % 17.31/17.57 (define @t90 () (tptp.c @t67)) % 17.31/17.57 (define @t91 () (tptp.leq @t66 @t90)) % 17.31/17.57 (define @t92 () (tptp.leq @t90 @t66)) % 17.31/17.57 (define @t93 () (and @t92 @t91)) % 17.31/17.57 (define @t94 () (tptp.test @t64)) % 17.31/17.57 (define @t95 () (not @t94)) % 17.31/17.57 (define @t96 () (or @t82 @t95 @t93)) % 17.31/17.57 (define @t97 () (@list true)) % 17.31/17.57 (define @t98 () (@list @t96)) % 17.31/17.57 (define @t99 () (@list false false)) % 17.31/17.57 (define @t100 () (@list @t62)) % 17.31/17.57 (define @t101 () (not @t77)) % 17.31/17.57 (define @t102 () (= @t81 @t101)) % 17.31/17.57 (define @t103 () (tptp.complement @t78 @t62)) % 17.31/17.57 (define @t104 () (not @t103)) % 17.31/17.57 (define @t105 () (not @t104)) % 17.31/17.57 (define @t106 () (tptp.addition @t62 @t78)) % 17.31/17.57 (define @t107 () (= tptp.one @t106)) % 17.31/17.57 (define @t108 () (tptp.multiplication @t78 @t62)) % 17.31/17.57 (define @t109 () (= tptp.zero @t108)) % 17.31/17.57 (define @t110 () (tptp.multiplication @t62 @t78)) % 17.31/17.57 (define @t111 () (= tptp.zero @t110)) % 17.31/17.57 (define @t112 () (and @t111 @t109 @t107)) % 17.31/17.57 (define @t113 () (= @t103 @t112)) % 17.31/17.57 (define @t114 () (not @t112)) % 17.31/17.57 (define @t115 () (@list @t112)) % 17.31/17.57 (define @t116 () (tptp.addition @t78 @t62)) % 17.31/17.57 (define @t117 () (= tptp.one @t116)) % 17.31/17.57 (define @t118 () (and @t109 @t111 @t117)) % 17.31/17.57 (define @t119 () (@list false false false)) % 17.31/17.57 (define @t120 () (= @t79 @t118)) % 17.31/17.57 (define @t121 () (tptp.multiplication @t65 @t78)) % 17.31/17.57 (define @t122 () (= @t106 @t116)) % 17.31/17.57 (define @t123 () (@list @t62 @t62 @t78)) % 17.31/17.57 (define @t124 () (tptp.complement @t64 @t65)) % 17.31/17.57 (define @t125 () (= @t65 @t65)) % 17.31/17.57 (define @t126 () (or @t95 (= @t124 @t125))) % 17.31/17.57 (define @t127 () (@list @t64 @t65)) % 17.31/17.57 (define @t128 () (or @t95 @t124)) % 17.31/17.57 (define @t129 () (tptp.addition @t65 @t64)) % 17.31/17.57 (define @t130 () (= tptp.one @t129)) % 17.31/17.57 (define @t131 () (= tptp.zero (tptp.multiplication @t64 @t65))) % 17.31/17.57 (define @t132 () (= tptp.zero (tptp.multiplication @t65 @t64))) % 17.31/17.57 (define @t133 () (and @t132 @t131 @t130)) % 17.31/17.57 (define @t134 () (= @t124 @t133)) % 17.31/17.57 (define @t135 () (not @t133)) % 17.31/17.57 (define @t136 () (@list @t133)) % 17.31/17.57 (define @t137 () (@list @t62 @t64 @t65)) % 17.31/17.57 (define @t138 () (tptp.addition @t62 @t65)) % 17.31/17.57 (define @t139 () (tptp.addition @t138 @t64)) % 17.31/17.57 (define @t140 () (forall @t31 (not (tptp.complement @t29 @t64)))) % 17.31/17.57 (define @t141 () (@quantifiers_skolemize @t140 0)) % 17.31/17.57 (define @t142 () (tptp.complement @t64 @t141)) % 17.31/17.57 (define @t143 () (= @t142 (= @t141 @t65))) % 17.31/17.57 (define @t144 () (or @t95 @t143)) % 17.31/17.57 (define @t145 () (@list @t64 @t141)) % 17.31/17.57 (define @t146 () (= @t65 @t141)) % 17.31/17.57 (define @t147 () (= @t142 @t146)) % 17.31/17.57 (define @t148 () (or @t95 @t147)) % 17.31/17.57 (define @t149 () (@list @t64)) % 17.31/17.57 (define @t150 () (not @t140)) % 17.31/17.57 (define @t151 () (= @t94 @t150)) % 17.31/17.57 (define @t152 () (tptp.complement @t141 @t64)) % 17.31/17.57 (define @t153 () (not @t152)) % 17.31/17.57 (define @t154 () (not @t153)) % 17.31/17.57 (define @t155 () (= tptp.one (tptp.addition @t64 @t141))) % 17.31/17.57 (define @t156 () (= tptp.zero (tptp.multiplication @t141 @t64))) % 17.31/17.57 (define @t157 () (= tptp.zero (tptp.multiplication @t64 @t141))) % 17.31/17.57 (define @t158 () (and @t157 @t156 @t155)) % 17.31/17.57 (define @t159 () (= @t152 @t158)) % 17.31/17.57 (define @t160 () (not @t158)) % 17.31/17.57 (define @t161 () (@list @t158)) % 17.31/17.57 (define @t162 () (= tptp.one (tptp.addition @t141 @t64))) % 17.31/17.57 (define @t163 () (and @t156 @t157 @t162)) % 17.31/17.57 (define @t164 () (= @t142 @t163)) % 17.31/17.57 (define @t165 () (tptp.multiplication @t141 @t62)) % 17.31/17.57 (define @t166 () (tptp.multiplication @t62 @t62)) % 17.31/17.57 (define @t167 () (tptp.multiplication @t62 tptp.one)) % 17.31/17.57 (define @t168 () (tptp.multiplication @t64 @t62)) % 17.31/17.57 (define @t169 () (tptp.multiplication @t129 @t62)) % 17.31/17.57 (define @t170 () (tptp.multiplication tptp.one @t62)) % 17.31/17.57 (define @t171 () (tptp.addition @t166 @t165)) % 17.31/17.57 (define @t172 () (tptp.multiplication @t65 @t62)) % 17.31/17.57 (define @t173 () (tptp.addition @t62 @t172)) % 17.31/17.57 (define @t174 () (@list @t65)) % 17.31/17.57 (define @t175 () (@list @t66)) % 17.31/17.57 (define @t176 () (tptp.multiplication @t74 @t62)) % 17.31/17.57 (define @t177 () (tptp.addition @t62 @t66)) % 17.31/17.57 (define @t178 () (tptp.multiplication @t66 @t66)) % 17.31/17.57 (define @t179 () (tptp.multiplication @t65 @t65)) % 17.31/17.57 (define @t180 () (tptp.multiplication @t62 @t65)) % 17.31/17.57 (define @t181 () (tptp.multiplication @t62 @t141)) % 17.31/17.57 (define @t182 () (tptp.multiplication @t62 @t66)) % 17.31/17.57 (define @t183 () (tptp.multiplication @t62 @t63)) % 17.31/17.57 (define @t184 () (tptp.addition @t65 @t62)) % 17.31/17.57 (define @t185 () (tptp.multiplication @t184 @t63)) % 17.31/17.57 (define @t186 () (tptp.addition @t62 @t141)) % 17.31/17.57 (define @t187 () (tptp.multiplication @t66 @t63)) % 17.31/17.57 (define @t188 () (tptp.addition @t66 tptp.zero)) % 17.31/17.57 (define @t189 () (= @t138 @t184)) % 17.31/17.57 (define @t190 () (tptp.multiplication @t66 @t62)) % 17.31/17.57 (define @t191 () (@list @t67)) % 17.31/17.57 (define @t192 () (tptp.multiplication @t62 @t67)) % 17.31/17.57 (define @t193 () (= tptp.one @t69)) % 17.31/17.57 (define @t194 () (= tptp.zero (tptp.multiplication @t66 @t67))) % 17.31/17.57 (define @t195 () (= tptp.zero (tptp.multiplication @t67 @t66))) % 17.31/17.57 (define @t196 () (and @t195 @t194 @t193)) % 17.31/17.57 (define @t197 () (tptp.complement @t66 @t67)) % 17.31/17.57 (define @t198 () (= @t197 @t196)) % 17.31/17.57 (define @t199 () (tptp.complement @t67 @t66)) % 17.31/17.57 (define @t200 () (= @t66 @t90)) % 17.31/17.57 (define @t201 () (tptp.test @t67)) % 17.31/17.57 (define @t202 () (not @t201)) % 17.31/17.57 (define @t203 () (or @t202 (= @t199 @t200))) % 17.31/17.57 (define @t204 () (= @t90 @t66)) % 17.31/17.57 (define @t205 () (= @t204 @t199)) % 17.31/17.57 (define @t206 () (or @t202 @t205)) % 17.31/17.57 (define @t207 () (= tptp.one @t70)) % 17.31/17.57 (define @t208 () (and @t194 @t195 @t207)) % 17.31/17.57 (define @t209 () (= @t199 @t208)) % 17.31/17.57 (define @t210 () (tptp.leq @t66 @t66)) % 17.31/17.57 (define @t211 () (= @t66 (tptp.addition @t66 @t66))) % 17.31/17.57 (define @t212 () (forall @t4 (= @t25 (= @t2 @t3)))) % 17.31/17.57 (define @t213 () (= @t210 @t211)) % 17.31/17.57 (define @t214 () (= @t211 @t210)) % 17.31/17.57 (define @t215 () (tptp.addition @t90 @t90)) % 17.31/17.57 (define @t216 () (= @t90 @t215)) % 17.31/17.57 (define @t217 () (= @t66 (tptp.addition @t90 @t66))) % 17.31/17.57 (define @t218 () (and @t216 @t204)) % 17.31/17.57 (define @t219 () (not @t204)) % 17.31/17.57 (define @t220 () (not @t205)) % 17.31/17.57 (define @t221 () (= tptp.zero @t45)) % 17.31/17.57 (define @t222 () (= tptp.zero @t90)) % 17.31/17.57 (define @t223 () (or @t201 @t222)) % 17.31/17.57 (define @t224 () (= @t66 @t188)) % 17.31/17.57 (define @t225 () (tptp.addition tptp.zero @t66)) % 17.31/17.57 (define @t226 () (= @t188 @t225)) % 17.31/17.57 (define @t227 () (and @t222 @t224 @t226)) % 17.31/17.57 (define @t228 () (= @t92 @t217)) % 17.31/17.57 (define @t229 () (not @t91)) % 17.31/17.57 (define @t230 () (@list true false)) % 17.31/17.57 (define @t231 () (not @t210)) % 17.31/17.57 (define @t232 () (and @t210 @t204 @t229)) % 17.31/17.57 (define @t233 () (forall @t31 (not (tptp.complement @t29 @t67)))) % 17.31/17.57 (define @t234 () (not @t233)) % 17.31/17.57 (define @t235 () (= @t201 @t234)) % 17.31/17.57 (define @t236 () (not @t235)) % 17.31/17.57 (assume @p1 @t5) % 17.31/17.57 (assume @p2 (forall (@list @t6 @t2 @t1) (= (tptp.addition @t1 @t7) (tptp.addition @t3 @t6)))) % 17.31/17.57 (assume @p3 @t10) % 17.31/17.57 (assume @p4 @t12) % 17.31/17.57 (assume @p5 (forall @t15 (= (tptp.multiplication @t1 @t14) (tptp.multiplication @t13 @t6)))) % 17.31/17.57 (assume @p6 @t17) % 17.31/17.57 (assume @p7 @t19) % 17.31/17.57 (assume @p8 (forall @t15 (= (tptp.multiplication @t1 @t7) (tptp.addition @t13 @t20)))) % 17.31/17.57 (assume @p9 (forall @t15 (= (tptp.multiplication @t3 @t6) (tptp.addition @t20 @t14)))) % 17.31/17.57 (assume @p10 @t22) % 17.31/17.57 (assume @p11 @t24) % 17.31/17.57 (assume @p12 @t27) % 17.31/17.57 (assume @p13 @t36) % 17.31/17.57 (assume @p14 @t43) % 17.31/17.57 (assume @p15 @t48) % 17.31/17.57 (assume @p16 @t51) % 17.31/17.57 (assume @p17 @t58) % 17.31/17.57 (assume @p18 true) % 17.31/17.57 (step @p19 :rule eq-symm :args (@t37 tptp.one)) % 17.31/17.57 (step @p20 :rule eq-symm :args (@t38 tptp.zero)) % 17.31/17.57 (step @p21 :rule eq-symm :args (@t39 tptp.zero)) % 17.31/17.57 (step @p22 :rule nary_cong :premises (@p21 @p20 @p19) :args (@t40)) % 17.31/17.57 (step @p23 :rule refl :args (@t30)) % 17.31/17.57 (step @p24 :rule cong :premises (@p23 @p22) :args (@t41)) % 17.31/17.57 (step @p25 :rule cong :premises (@p24) :args (@t43)) % 17.31/17.57 (step @p26 :rule eq_resolve :premises (@p14 @p25)) % 17.31/17.57 (step @p27 :rule instantiate :premises (@p26) :args (@t68)) % 17.31/17.57 (step @p28 :rule eq-symm :args (@t69 @t70)) % 17.31/17.57 (step @p29 :rule refl :args (@t5)) % 17.31/17.57 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t5 @t71))) % 17.31/17.57 (assume-push @p718 @t5) % 17.31/17.57 (step @p32 :rule instantiate :premises (@p1) :args (@t68)) % 17.31/17.57 (step-pop @p719 :rule scope :premises (@p32)) % 17.31/17.57 (step @p33 :rule process_scope :premises (@p719) :args (@t71)) % 17.31/17.57 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 17.31/17.57 (step @p36 :rule implies_elim :premises (@p35)) % 17.31/17.57 (step @p37 :rule chain_m_resolution :premises (@p36 @p1) :args ((= @t70 @t69) @t72 @t73)) % 17.31/17.57 (step @p38 :rule instantiate :premises (@p1) :args ((@list @t64 @t62))) % 17.31/17.57 (step @p39 :rule symm :premises (@p38)) % 17.31/17.57 (step @p40 :rule refl :args (@t66)) % 17.31/17.57 (step @p41 :rule cong :premises (@p40 @p39) :args ((tptp.addition @t66 @t74))) % 17.31/17.57 (step @p42 :rule instantiate :premises (@p2) :args ((@list @t64 @t62 @t66))) % 17.31/17.57 (step @p43 :rule symm :premises (@p42)) % 17.31/17.57 (step @p44 :rule refl :args (@t64)) % 17.31/17.57 (step @p45 :rule instantiate :premises (@p1) :args ((@list @t62 @t66))) % 17.31/17.57 (step @p46 :rule bool-impl-elim :args (@t33 @t76)) % 17.31/17.57 (step @p47 :rule cong :premises (@p46) :args ((forall @t42 (=> @t33 @t76)))) % 17.31/17.57 (step @p48 :rule eq-symm :args (@t75 @t44)) % 17.31/17.57 (step @p49 :rule refl :args (@t44)) % 17.31/17.57 (step @p50 :rule eq-symm :args (@t45 @t29)) % 17.31/17.57 (step @p51 :rule cong :premises (@p50 @p49) :args (@t46)) % 17.31/17.57 (step @p52 :rule trans :premises (@p51 @p48)) % 17.31/17.57 (step @p53 :rule refl :args (@t33)) % 17.31/17.57 (step @p54 :rule cong :premises (@p53 @p52) :args (@t47)) % 17.31/17.57 (step @p55 :rule cong :premises (@p54) :args (@t48)) % 17.31/17.57 (step @p56 :rule trans :premises (@p55 @p47)) % 17.31/17.57 (step @p57 :rule eq_resolve :premises (@p15 @p56)) % 17.31/17.57 (step @p58 :rule eq-symm :args (@t78 @t63)) % 17.31/17.57 (step @p59 :rule refl :args (@t79)) % 17.31/17.57 (step @p60 :rule cong :premises (@p59 @p58) :args (@t80)) % 17.31/17.57 (step @p61 :rule refl :args (@t82)) % 17.31/17.57 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t83)) % 17.31/17.57 (step @p63 :rule refl :args (@t84)) % 17.31/17.57 (step @p64 :rule cong :premises (@p63 @p62) :args ((=> @t84 @t83))) % 17.31/17.57 (assume-push @p720 @t84) % 17.31/17.57 (step @p66 :rule instantiate :premises (@p57) :args (@t85)) % 17.31/17.57 (step-pop @p721 :rule scope :premises (@p66)) % 17.31/17.57 (step @p67 :rule process_scope :premises (@p721) :args (@t83)) % 17.31/17.57 (step @p69 :rule eq_resolve :premises (@p67 @p64)) % 17.31/17.57 (step @p70 :rule implies_elim :premises (@p69)) % 17.31/17.57 (step @p71 :rule chain_m_resolution :premises (@p70 @p57) :args (@t88 @t72 @t89)) % 17.31/17.57 (step @p72 :rule aci_norm :args ((= (or (or @t59 @t49) @t54) @t60))) % 17.31/17.57 (step @p73 :rule refl :args (@t54)) % 17.31/17.57 (step @p74 :rule bool-and-de-morgan :args (@t55 @t33 true)) % 17.31/17.57 (step @p75 :rule nary_cong :premises (@p74 @p73) :args ((or (not 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cnf_or_pos :args (@t88)) % 17.31/17.57 (step @p91 :rule reordering :premises (@p90) :args ((or @t82 @t87 (not @t88)))) % 17.31/17.57 (step @p92 :rule chain_m_resolution :premises (@p91 @p89 @p71) :args (@t87 @t99 (@list @t81 @t88))) % 17.31/17.57 (step @p93 :rule instantiate :premises (@p26) :args ((@list @t78 @t62))) % 17.31/17.57 (step @p94 :rule instantiate :premises (@p1) :args (@t85)) % 17.31/17.57 (step @p95 :rule instantiate :premises (@p26) :args (@t85)) % 17.31/17.57 (step @p96 :rule exists-elim :args ((= @t32 (not (forall @t31 (not @t30)))))) % 17.31/17.57 (step @p97 :rule cong :premises (@p53 @p96) :args (@t34)) % 17.31/17.57 (step @p98 :rule cong :premises (@p97) :args (@t36)) % 17.31/17.57 (step @p99 :rule eq_resolve :premises (@p13 @p98)) % 17.31/17.57 (step @p100 :rule instantiate :premises (@p99) :args (@t100)) % 17.31/17.57 (step @p101 :rule cnf_equiv_pos1 :args (@t102)) % 17.31/17.57 (step @p102 :rule reordering :premises (@p101) :args ((or @t82 @t101 (not @t102)))) % 17.31/17.57 (step @p103 :rule chain_m_resolution :premises (@p102 @p89 @p100) :args (@t101 @t99 (@list @t81 @t102))) % 17.31/17.57 (step @p104 :rule refl :args (@t103)) % 17.31/17.57 (step @p105 :rule bool-double-not-elim :args (@t77)) % 17.31/17.57 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or (not @t101) @t103))) % 17.31/17.57 (step @p107 :rule bool-double-not-elim :args (@t103)) % 17.31/17.57 (step @p108 :rule refl :args (@t101)) % 17.31/17.57 (step @p109 :rule cong :premises (@p108 @p107) :args ((=> @t101 @t105))) % 17.31/17.57 (assume-push @p722 @t101) % 17.31/17.57 (step @p111 :rule skolemize :premises (@p103)) % 17.31/17.57 (step-pop @p723 :rule scope :premises (@p111)) % 17.31/17.57 (step @p112 :rule process_scope :premises (@p723) :args (@t105)) % 17.31/17.57 (step @p114 :rule eq_resolve :premises (@p112 @p109)) % 17.31/17.57 (step @p115 :rule implies_elim :premises (@p114)) % 17.31/17.57 (step @p116 :rule eq_resolve :premises (@p115 @p106)) % 17.31/17.57 (step @p117 :rule chain_m_resolution :premises (@p116 @p103) :args (@t103 @t97 (@list @t77))) % 17.31/17.57 (step @p118 :rule cnf_equiv_pos1 :args (@t113)) % 17.31/17.57 (step @p119 :rule reordering :premises (@p118) :args ((or @t104 @t112 (not @t113)))) % 17.31/17.57 (step @p120 :rule chain_m_resolution :premises (@p119 @p117 @p95) :args (@t112 @t99 (@list @t103 @t113))) % 17.31/17.57 (step @p121 :rule cnf_and_pos :args (@t112 2)) % 17.31/17.57 (step @p122 :rule reordering :premises (@p121) :args ((or @t107 @t114))) % 17.31/17.57 (step @p123 :rule chain_m_resolution :premises (@p122 @p120) :args (@t107 @t72 @t115)) % 17.31/17.57 (step @p124 :rule trans :premises (@p123 @p94)) % 17.31/17.57 (step @p125 :rule cnf_and_pos :args (@t112 1)) % 17.31/17.57 (step @p126 :rule reordering :premises (@p125) :args ((or @t109 @t114))) % 17.31/17.57 (step @p127 :rule chain_m_resolution :premises (@p126 @p120) :args (@t109 @t72 @t115)) % 17.31/17.57 (step @p128 :rule cnf_and_pos :args (@t112 0)) % 17.31/17.57 (step @p129 :rule reordering :premises (@p128) :args ((or @t111 @t114))) % 17.31/17.57 (step @p130 :rule chain_m_resolution :premises (@p129 @p120) :args (@t111 @t72 @t115)) % 17.31/17.57 (step @p131 :rule cnf_and_neg :args (@t118)) % 17.31/17.57 (step @p132 :rule reordering :premises (@p131) :args ((or (not @t111) (not @t109) @t118 (not @t117)))) % 17.31/17.57 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p127 @p124) :args (@t118 @t119 (@list @t111 @t109 @t117))) % 17.31/17.57 (step @p134 :rule cnf_equiv_pos2 :args (@t120)) % 17.31/17.57 (step @p135 :rule reordering :premises (@p134) :args ((or @t79 (not @t118) (not @t120)))) % 17.31/17.57 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p93) :args (@t79 @t99 (@list @t118 @t120))) % 17.31/17.57 (step @p137 :rule cnf_equiv_pos1 :args (@t87)) % 17.31/17.57 (step @p138 :rule reordering :premises (@p137) :args ((or @t86 (not @t79) (not @t87)))) % 17.31/17.57 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p92) :args (@t86 @t99 (@list @t79 @t87))) % 17.31/17.57 (step @p140 :rule symm :premises (@p139)) % 17.31/17.57 (step @p141 :rule refl :args (@t65)) % 17.31/17.57 (step @p142 :rule cong :premises (@p141 @p140) :args (@t121)) % 17.31/17.57 (step @p143 :rule eq-symm :args (@t18 @t1)) % 17.31/17.57 (step @p144 :rule cong :premises (@p143) :args (@t19)) % 17.31/17.57 (step @p145 :rule eq_resolve :premises (@p7 @p144)) % 17.31/17.57 (step @p146 :rule instantiate :premises (@p145) :args (@t100)) % 17.31/17.57 (step @p147 :rule symm :premises (@p146)) % 17.31/17.57 (step @p148 :rule refl :args (@t62)) % 17.31/17.57 (step @p149 :rule symm :premises (@p123)) % 17.31/17.57 (step @p150 :rule eq-symm :args (@t106 @t116)) % 17.31/17.57 (step @p151 :rule cong :premises (@p29 @p150) :args ((=> @t5 @t122))) % 17.31/17.57 (assume-push @p724 @t5) % 17.31/17.57 (step-pop @p725 :rule scope :premises (@p94)) % 17.31/17.57 (step @p153 :rule process_scope :premises (@p725) :args (@t122)) % 17.31/17.57 (step @p155 :rule eq_resolve :premises (@p153 @p151)) % 17.31/17.57 (step @p156 :rule implies_elim :premises (@p155)) % 17.31/17.57 (step @p157 :rule chain_m_resolution :premises (@p156 @p1) :args ((= @t116 @t106) @t72 @t73)) % 17.31/17.57 (step @p158 :rule eq-symm :args (@t11 @t1)) % 17.31/17.57 (step @p159 :rule cong :premises (@p158) :args (@t12)) % 17.31/17.57 (step @p160 :rule eq_resolve :premises (@p4 @p159)) % 17.31/17.57 (step @p161 :rule instantiate :premises (@p160) :args (@t100)) % 17.31/17.57 (step @p162 :rule symm :premises (@p161)) % 17.31/17.57 (step @p163 :rule refl :args (@t78)) % 17.31/17.57 (step @p164 :rule cong :premises (@p163 @p162) :args ((tptp.addition @t78 (tptp.addition @t62 @t62)))) % 17.31/17.57 (step @p165 :rule instantiate :premises (@p2) :args (@t123)) % 17.31/17.57 (step @p166 :rule symm :premises (@p165)) % 17.31/17.57 (step @p167 :rule instantiate :premises (@p26) :args ((@list @t65 @t64))) % 17.31/17.57 (step @p168 :rule bool-eq-true :args (@t124)) % 17.31/17.57 (step @p169 :rule eq-symm :args (true @t124)) % 17.31/17.57 (step @p170 :rule trans :premises (@p169 @p168)) % 17.31/17.57 (step @p171 :rule refl :args (@t124)) % 17.31/17.57 (step @p172 :rule eq-refl :args (@t65)) % 17.31/17.57 (step @p173 :rule cong :premises (@p172 @p171) :args ((= @t125 @t124))) % 17.31/17.57 (step @p174 :rule trans :premises (@p173 @p170)) % 17.31/17.57 (step @p175 :rule eq-symm :args (@t124 @t125)) % 17.31/17.57 (step @p176 :rule trans :premises (@p175 @p174)) % 17.31/17.57 (step @p177 :rule refl :args (@t95)) % 17.31/17.57 (step @p178 :rule nary_cong :premises (@p177 @p176) :args (@t126)) % 17.31/17.57 (step @p179 :rule cong :premises (@p63 @p178) :args ((=> @t84 @t126))) % 17.31/17.57 (assume-push @p726 @t84) % 17.31/17.57 (step @p181 :rule instantiate :premises (@p57) :args (@t127)) % 17.31/17.57 (step-pop @p727 :rule scope :premises (@p181)) % 17.31/17.57 (step @p182 :rule process_scope :premises (@p727) :args (@t126)) % 17.31/17.57 (step @p184 :rule eq_resolve :premises (@p182 @p179)) % 17.31/17.57 (step @p185 :rule implies_elim :premises (@p184)) % 17.31/17.57 (step @p186 :rule chain_m_resolution :premises (@p185 @p57) :args (@t128 @t72 @t89)) % 17.31/17.57 (step @p187 :rule bool-double-not-elim :args (@t94)) % 17.31/17.57 (step @p188 :rule nary_cong :premises (@p84 @p187) :args ((or @t96 (not @t95)))) % 17.31/17.57 (step @p189 :rule cnf_or_neg :args (@t96 1)) % 17.31/17.57 (step @p190 :rule eq_resolve :premises (@p189 @p188)) % 17.31/17.57 (step @p191 :rule reordering :premises (@p190) :args ((or @t94 @t96))) % 17.31/17.57 (step @p192 :rule chain_m_resolution :premises (@p191 @p82) :args (@t94 @t97 @t98)) % 17.31/17.57 (step @p193 :rule cnf_or_pos :args (@t128)) % 17.31/17.57 (step @p194 :rule reordering :premises (@p193) :args ((or @t95 @t124 (not @t128)))) % 17.31/17.57 (step @p195 :rule chain_m_resolution :premises (@p194 @p192 @p186) :args (@t124 @t99 (@list @t94 @t128))) % 17.31/17.57 (step @p196 :rule cnf_equiv_pos1 :args (@t134)) % 17.31/17.57 (step @p197 :rule reordering :premises (@p196) :args ((or (not @t124) @t133 (not @t134)))) % 17.31/17.57 (step @p198 :rule chain_m_resolution :premises (@p197 @p195 @p167) :args (@t133 @t99 (@list @t124 @t134))) % 17.31/17.57 (step @p199 :rule cnf_and_pos :args (@t133 2)) % 17.31/17.57 (step @p200 :rule reordering :premises (@p199) :args ((or @t130 @t135))) % 17.31/17.57 (step @p201 :rule chain_m_resolution :premises (@p200 @p198) :args (@t130 @t72 @t136)) % 17.31/17.57 (step @p202 :rule symm :premises (@p201)) % 17.31/17.57 (step @p203 :rule trans :premises (@p202 @p124)) % 17.31/17.57 (step @p204 :rule cong :premises (@p203 @p148) :args ((tptp.addition @t129 @t62))) % 17.31/17.57 (step @p205 :rule instantiate :premises (@p2) :args (@t137)) % 17.31/17.57 (step @p206 :rule cong :premises (@p141 @p39) :args ((tptp.addition @t65 @t74))) % 17.31/17.57 (step @p207 :rule instantiate :premises (@p2) :args ((@list @t64 @t62 @t65))) % 17.31/17.57 (step @p208 :rule symm :premises (@p207)) % 17.31/17.57 (step @p209 :rule instantiate :premises (@p1) :args ((@list @t62 @t65))) % 17.31/17.57 (step @p210 :rule cong :premises (@p209 @p44) :args (@t139)) % 17.31/17.57 (step @p211 :rule instantiate :premises (@p2) :args ((@list @t64 @t65 @t62))) % 17.31/17.57 (step @p212 :rule instantiate :premises (@p1) :args (@t127)) % 17.31/17.57 (step @p213 :rule cong :premises (@p148 @p212) :args ((tptp.addition @t62 (tptp.addition @t64 @t65)))) % 17.31/17.57 (step @p214 :rule instantiate :premises (@p2) :args ((@list @t65 @t64 @t62))) % 17.31/17.57 (step @p215 :rule symm :premises (@p214)) % 17.31/17.57 (step @p216 :rule trans :premises (@p215 @p213 @p211 @p210 @p208 @p206 @p205 @p204 @p166 @p164 @p157 @p149)) % 17.31/17.57 (step @p217 :rule cong :premises (@p216 @p148) :args ((tptp.multiplication (tptp.addition @t74 @t65) @t62))) % 17.31/17.57 (step @p218 :rule instantiate :premises (@p9) :args ((@list @t74 @t65 @t62))) % 17.31/17.57 (step @p219 :rule symm :premises (@p218)) % 17.31/17.57 (step @p220 :rule eq-symm :args (@t141 @t65)) % 17.31/17.57 (step @p221 :rule refl :args (@t142)) % 17.31/17.57 (step @p222 :rule cong :premises (@p221 @p220) :args (@t143)) % 17.31/17.57 (step @p223 :rule nary_cong :premises (@p177 @p222) :args (@t144)) % 17.31/17.57 (step @p224 :rule cong :premises (@p63 @p223) :args ((=> @t84 @t144))) % 17.31/17.57 (assume-push @p728 @t84) % 17.31/17.57 (step @p226 :rule instantiate :premises (@p57) :args (@t145)) % 17.31/17.57 (step-pop @p729 :rule scope :premises (@p226)) % 17.31/17.57 (step @p227 :rule process_scope :premises (@p729) :args (@t144)) % 17.31/17.57 (step @p229 :rule eq_resolve :premises (@p227 @p224)) % 17.31/17.57 (step @p230 :rule implies_elim :premises (@p229)) % 17.31/17.57 (step @p231 :rule chain_m_resolution :premises (@p230 @p57) :args (@t148 @t72 @t89)) % 17.31/17.57 (step @p232 :rule cnf_or_pos :args (@t148)) % 17.31/17.57 (step @p233 :rule reordering :premises (@p232) :args ((or @t95 @t147 (not @t148)))) % 17.31/17.57 (step @p234 :rule chain_m_resolution :premises (@p233 @p192 @p231) :args (@t147 @t99 (@list @t94 @t148))) % 17.31/17.57 (step @p235 :rule instantiate :premises (@p26) :args ((@list @t141 @t64))) % 17.31/17.57 (step @p236 :rule instantiate :premises (@p1) :args (@t145)) % 17.31/17.57 (step @p237 :rule instantiate :premises (@p26) :args (@t145)) % 17.31/17.57 (step @p238 :rule instantiate :premises (@p99) :args (@t149)) % 17.31/17.57 (step @p239 :rule cnf_equiv_pos1 :args (@t151)) % 17.31/17.57 (step @p240 :rule reordering :premises (@p239) :args ((or @t95 @t150 (not @t151)))) % 17.31/17.57 (step @p241 :rule chain_m_resolution :premises (@p240 @p192 @p238) :args (@t150 @t99 (@list @t94 @t151))) % 17.31/17.57 (step @p242 :rule refl :args (@t152)) % 17.31/17.57 (step @p243 :rule bool-double-not-elim :args (@t140)) % 17.31/17.57 (step @p244 :rule nary_cong :premises (@p243 @p242) :args ((or (not @t150) @t152))) % 17.31/17.57 (step @p245 :rule bool-double-not-elim :args (@t152)) % 17.31/17.57 (step @p246 :rule refl :args (@t150)) % 17.31/17.57 (step @p247 :rule cong :premises (@p246 @p245) :args ((=> @t150 @t154))) % 17.31/17.57 (assume-push @p730 @t150) % 17.31/17.57 (step @p249 :rule skolemize :premises (@p241)) % 17.31/17.57 (step-pop @p731 :rule scope :premises (@p249)) % 17.31/17.57 (step @p250 :rule process_scope :premises (@p731) :args (@t154)) % 17.31/17.57 (step @p252 :rule eq_resolve :premises (@p250 @p247)) % 17.31/17.57 (step @p253 :rule implies_elim :premises (@p252)) % 17.31/17.57 (step @p254 :rule eq_resolve :premises (@p253 @p244)) % 17.31/17.57 (step @p255 :rule chain_m_resolution :premises (@p254 @p241) :args (@t152 @t97 (@list @t140))) % 17.31/17.57 (step @p256 :rule cnf_equiv_pos1 :args (@t159)) % 17.31/17.57 (step @p257 :rule reordering :premises (@p256) :args ((or @t153 @t158 (not @t159)))) % 17.31/17.57 (step @p258 :rule chain_m_resolution :premises (@p257 @p255 @p237) :args (@t158 @t99 (@list @t152 @t159))) % 17.31/17.57 (step @p259 :rule cnf_and_pos :args (@t158 2)) % 17.31/17.57 (step @p260 :rule reordering :premises (@p259) :args ((or @t155 @t160))) % 17.31/17.57 (step @p261 :rule chain_m_resolution :premises (@p260 @p258) :args (@t155 @t72 @t161)) % 17.31/17.57 (step @p262 :rule trans :premises (@p261 @p236)) % 17.31/17.57 (step @p263 :rule cnf_and_pos :args (@t158 1)) % 17.31/17.57 (step @p264 :rule reordering :premises (@p263) :args ((or @t156 @t160))) % 17.31/17.57 (step @p265 :rule chain_m_resolution :premises (@p264 @p258) :args (@t156 @t72 @t161)) % 17.31/17.57 (step @p266 :rule cnf_and_pos :args (@t158 0)) % 17.31/17.57 (step @p267 :rule reordering :premises (@p266) :args ((or @t157 @t160))) % 17.31/17.57 (step @p268 :rule chain_m_resolution :premises (@p267 @p258) :args (@t157 @t72 @t161)) % 17.31/17.57 (step @p269 :rule cnf_and_neg :args (@t163)) % 17.31/17.57 (step @p270 :rule reordering :premises (@p269) :args ((or (not @t157) (not @t156) @t163 (not @t162)))) % 17.31/17.57 (step @p271 :rule chain_m_resolution :premises (@p270 @p268 @p265 @p262) :args (@t163 @t119 (@list @t157 @t156 @t162))) % 17.31/17.57 (step @p272 :rule cnf_equiv_pos2 :args (@t164)) % 17.31/17.57 (step @p273 :rule reordering :premises (@p272) :args ((or @t142 (not @t163) (not @t164)))) % 17.31/17.57 (step @p274 :rule chain_m_resolution :premises (@p273 @p271 @p235) :args (@t142 @t99 (@list @t163 @t164))) % 17.31/17.57 (step @p275 :rule cnf_equiv_pos1 :args (@t147)) % 17.31/17.57 (step @p276 :rule reordering :premises (@p275) :args ((or @t146 (not @t142) (not @t147)))) % 17.31/17.57 (step @p277 :rule chain_m_resolution :premises (@p276 @p274 @p234) :args (@t146 @t99 (@list @t142 @t147))) % 17.31/17.57 (step @p278 :rule symm :premises (@p277)) % 17.31/17.57 (step @p279 :rule cong :premises (@p278 @p148) :args (@t165)) % 17.31/17.57 (step @p280 :rule cong :premises (@p38 @p148) :args ((tptp.multiplication @t67 @t62))) % 17.31/17.57 (step @p281 :rule instantiate :premises (@p9) :args ((@list @t64 @t62 @t62))) % 17.31/17.57 (step @p282 :rule symm :premises (@p281)) % 17.31/17.57 (step @p283 :rule eq-symm :args (@t8 @t1)) % 17.31/17.57 (step @p284 :rule cong :premises (@p283) :args (@t10)) % 17.31/17.57 (step @p285 :rule eq_resolve :premises (@p3 @p284)) % 17.31/17.57 (step @p286 :rule instantiate :premises (@p285) :args ((@list @t166))) % 17.31/17.57 (step @p287 :rule symm :premises (@p286)) % 17.31/17.57 (step @p288 :rule symm :premises (@p130)) % 17.31/17.57 (step @p289 :rule refl :args (@t166)) % 17.31/17.57 (step @p290 :rule cong :premises (@p289 @p288) :args ((tptp.addition @t166 @t110))) % 17.31/17.57 (step @p291 :rule instantiate :premises (@p8) :args (@t123)) % 17.31/17.57 (step @p292 :rule cong :premises (@p148 @p123) :args (@t167)) % 17.31/17.57 (step @p293 :rule eq-symm :args (@t16 @t1)) % 17.31/17.57 (step @p294 :rule cong :premises (@p293) :args (@t17)) % 17.31/17.57 (step @p295 :rule eq_resolve :premises (@p6 @p294)) % 17.31/17.57 (step @p296 :rule instantiate :premises (@p295) :args (@t100)) % 17.31/17.57 (step @p297 :rule trans :premises (@p296 @p292 @p291 @p290 @p287)) % 17.31/17.57 (step @p298 :rule refl :args (@t168)) % 17.31/17.57 (step @p299 :rule cong :premises (@p298 @p297) :args ((tptp.addition @t168 @t62))) % 17.31/17.57 (step @p300 :rule instantiate :premises (@p1) :args ((@list @t62 @t168))) % 17.31/17.57 (step @p301 :rule cong :premises (@p202 @p148) :args (@t169)) % 17.31/17.57 (step @p302 :rule trans :premises (@p301 @p147)) % 17.31/17.57 (step @p303 :rule cong :premises (@p302 @p298) :args ((tptp.addition @t169 @t168))) % 17.31/17.57 (step @p304 :rule instantiate :premises (@p9) :args ((@list @t129 @t64 @t62))) % 17.31/17.57 (step @p305 :rule instantiate :premises (@p2) :args ((@list @t64 @t64 @t65))) % 17.31/17.57 (step @p306 :rule instantiate :premises (@p160) :args (@t149)) % 17.31/17.57 (step @p307 :rule cong :premises (@p141 @p306) :args (@t129)) % 17.31/17.57 (step @p308 :rule trans :premises (@p201 @p307 @p305)) % 17.31/17.57 (step @p309 :rule cong :premises (@p308 @p148) :args (@t170)) % 17.31/17.57 (step @p310 :rule trans :premises (@p146 @p309 @p304 @p303 @p300 @p299 @p282 @p280)) % 17.31/17.57 (step @p311 :rule symm :premises (@p297)) % 17.31/17.57 (step @p312 :rule trans :premises (@p311 @p310)) % 17.31/17.57 (step @p313 :rule cong :premises (@p312 @p279) :args (@t171)) % 17.31/17.57 (step @p314 :rule symm :premises (@p279)) % 17.31/17.57 (step @p315 :rule cong :premises (@p297 @p314) :args (@t173)) % 17.31/17.57 (step @p316 :rule trans :premises (@p315 @p313 @p219 @p217 @p147)) % 17.31/17.57 (step @p317 :rule cong :premises (@p316 @p142) :args ((tptp.addition @t173 @t121))) % 17.31/17.57 (step @p318 :rule instantiate :premises (@p2) :args ((@list @t121 @t172 @t62))) % 17.31/17.57 (step @p319 :rule instantiate :premises (@p8) :args ((@list @t65 @t62 @t78))) % 17.31/17.57 (step @p320 :rule cong :premises (@p141 @p123) :args ((tptp.multiplication @t65 tptp.one))) % 17.31/17.57 (step @p321 :rule instantiate :premises (@p295) :args (@t174)) % 17.31/17.57 (step @p322 :rule trans :premises (@p321 @p320 @p319)) % 17.31/17.57 (step @p323 :rule cong :premises (@p148 @p322) :args (@t138)) % 17.31/17.57 (step @p324 :rule trans :premises (@p323 @p318 @p317 @p45)) % 17.31/17.57 (step @p325 :rule cong :premises (@p324 @p44) :args (@t139)) % 17.31/17.57 (step @p326 :rule symm :premises (@p210)) % 17.31/17.57 (step @p327 :rule symm :premises (@p206)) % 17.31/17.57 (step @p328 :rule symm :premises (@p205)) % 17.31/17.57 (step @p329 :rule symm :premises (@p204)) % 17.31/17.57 (step @p330 :rule symm :premises (@p164)) % 17.31/17.57 (step @p331 :rule trans :premises (@p123 @p94 @p330 @p165 @p329 @p328 @p327 @p207 @p326 @p325 @p43 @p41 @p37)) % 17.31/17.57 (step @p332 :rule refl :args (@t67)) % 17.31/17.57 (step @p333 :rule instantiate :premises (@p285) :args (@t175)) % 17.31/17.57 (step @p334 :rule symm :premises (@p333)) % 17.31/17.57 (step @p335 :rule instantiate :premises (@p1) :args ((@list @t66 tptp.zero))) % 17.31/17.57 (step @p336 :rule symm :premises (@p335)) % 17.31/17.57 (step @p337 :rule instantiate :premises (@p145) :args (@t175)) % 17.31/17.57 (step @p338 :rule symm :premises (@p337)) % 17.31/17.57 (step @p339 :rule symm :premises (@p321)) % 17.31/17.57 (step @p340 :rule cong :premises (@p141 @p149) :args ((tptp.multiplication @t65 @t106))) % 17.31/17.57 (step @p341 :rule symm :premises (@p319)) % 17.31/17.57 (step @p342 :rule trans :premises (@p341 @p340 @p339)) % 17.31/17.57 (step @p343 :rule cong :premises (@p148 @p342) :args ((tptp.addition @t62 (tptp.addition @t172 @t121)))) % 17.31/17.57 (step @p344 :rule symm :premises (@p318)) % 17.31/17.57 (step @p345 :rule cong :premises (@p141 @p139) :args (@t66)) % 17.31/17.57 (step @p346 :rule cong :premises (@p311 @p279) :args (@t171)) % 17.31/17.57 (step @p347 :rule symm :premises (@p306)) % 17.31/17.57 (step @p348 :rule cong :premises (@p141 @p347) :args ((tptp.addition @t65 (tptp.addition @t64 @t64)))) % 17.31/17.57 (step @p349 :rule symm :premises (@p305)) % 17.31/17.57 (step @p350 :rule trans :premises (@p349 @p348 @p202)) % 17.31/17.57 (step @p351 :rule cong :premises (@p350 @p148) :args ((tptp.multiplication (tptp.addition @t129 @t64) @t62))) % 17.31/17.57 (step @p352 :rule symm :premises (@p304)) % 17.31/17.57 (step @p353 :rule cong :premises (@p201 @p148) :args (@t170)) % 17.31/17.57 (step @p354 :rule trans :premises (@p146 @p353)) % 17.31/17.57 (step @p355 :rule cong :premises (@p354 @p298) :args ((tptp.addition @t62 @t168))) % 17.31/17.57 (step @p356 :rule symm :premises (@p300)) % 17.31/17.57 (step @p357 :rule cong :premises (@p298 @p311) :args ((tptp.addition @t168 @t166))) % 17.31/17.57 (step @p358 :rule cong :premises (@p39 @p148) :args (@t176)) % 17.31/17.57 (step @p359 :rule trans :premises (@p358 @p281 @p357 @p356 @p355 @p352 @p351 @p147)) % 17.31/17.57 (step @p360 :rule trans :premises (@p359 @p297)) % 17.31/17.57 (step @p361 :rule cong :premises (@p360 @p314) :args ((tptp.addition @t176 @t172))) % 17.31/17.57 (step @p362 :rule symm :premises (@p212)) % 17.31/17.57 (step @p363 :rule cong :premises (@p148 @p362) :args ((tptp.addition @t62 @t129))) % 17.31/17.57 (step @p364 :rule symm :premises (@p211)) % 17.31/17.57 (step @p365 :rule trans :premises (@p123 @p94 @p330 @p165 @p329 @p328 @p327 @p207 @p326 @p364 @p363 @p214)) % 17.31/17.57 (step @p366 :rule cong :premises (@p365 @p148) :args (@t170)) % 17.31/17.57 (step @p367 :rule trans :premises (@p146 @p366 @p218 @p361 @p346)) % 17.31/17.57 (step @p368 :rule cong :premises (@p367 @p345) :args (@t177)) % 17.31/17.57 (step @p369 :rule symm :premises (@p45)) % 17.31/17.57 (step @p370 :rule trans :premises (@p369 @p368 @p344 @p343)) % 17.31/17.57 (step @p371 :rule cong :premises (@p370 @p44) :args ((tptp.addition (tptp.addition @t66 @t62) @t64))) % 17.31/17.57 (step @p372 :rule cong :premises (@p40 @p38) :args (@t70)) % 17.31/17.57 (step @p32 :rule instantiate :premises (@p1) :args (@t68)) % 17.31/17.57 (step @p373 :rule trans :premises (@p32 @p372 @p42 @p371 @p210 @p208 @p206 @p205 @p204 @p166 @p164 @p157 @p149)) % 17.31/17.57 (step @p374 :rule cong :premises (@p373 @p40) :args ((tptp.multiplication @t69 @t66))) % 17.31/17.57 (step @p375 :rule instantiate :premises (@p9) :args ((@list @t67 @t66 @t66))) % 17.31/17.57 (step @p376 :rule symm :premises (@p375)) % 17.31/17.57 (step @p377 :rule refl :args (@t178)) % 17.31/17.57 (step @p378 :rule refl :args (@t63)) % 17.31/17.57 (step @p379 :rule cong :premises (@p141 @p202) :args ((tptp.multiplication @t65 @t129))) % 17.31/17.57 (step @p380 :rule instantiate :premises (@p8) :args ((@list @t65 @t65 @t64))) % 17.31/17.57 (step @p381 :rule symm :premises (@p380)) % 17.31/17.57 (step @p382 :rule cnf_and_pos :args (@t133 0)) % 17.31/17.57 (step @p383 :rule reordering :premises (@p382) :args ((or @t132 @t135))) % 17.31/17.57 (step @p384 :rule chain_m_resolution :premises (@p383 @p198) :args (@t132 @t72 @t136)) % 17.31/17.57 (step @p385 :rule refl :args (@t179)) % 17.31/17.57 (step @p386 :rule cong :premises (@p385 @p384) :args ((tptp.addition @t179 tptp.zero))) % 17.31/17.57 (step @p387 :rule eq-symm :args (@t23 tptp.zero)) % 17.31/17.57 (step @p388 :rule cong :premises (@p387) :args (@t24)) % 17.31/17.57 (step @p389 :rule eq_resolve :premises (@p11 @p388)) % 17.31/17.57 (step @p390 :rule instantiate :premises (@p389) :args (@t174)) % 17.31/17.57 (step @p391 :rule symm :premises (@p390)) % 17.31/17.57 (step @p392 :rule cong :premises (@p385 @p391) :args ((tptp.addition @t179 (tptp.multiplication tptp.zero @t65)))) % 17.31/17.57 (step @p393 :rule instantiate :premises (@p9) :args ((@list @t65 tptp.zero @t65))) % 17.31/17.57 (step @p394 :rule instantiate :premises (@p285) :args (@t174)) % 17.31/17.57 (step @p395 :rule cong :premises (@p394 @p141) :args (@t179)) % 17.31/17.57 (step @p396 :rule trans :premises (@p395 @p393 @p392 @p386 @p381 @p379 @p339)) % 17.31/17.57 (step @p397 :rule cong :premises (@p396 @p378) :args ((tptp.multiplication @t179 @t63))) % 17.31/17.57 (step @p398 :rule instantiate :premises (@p5) :args ((@list @t65 @t65 @t63))) % 17.31/17.57 (step @p399 :rule trans :premises (@p398 @p397)) % 17.31/17.57 (step @p400 :rule cong :premises (@p332 @p399) :args ((tptp.multiplication @t67 (tptp.multiplication @t65 @t66)))) % 17.31/17.57 (step @p401 :rule instantiate :premises (@p5) :args ((@list @t67 @t65 @t66))) % 17.31/17.57 (step @p402 :rule symm :premises (@p401)) % 17.31/17.57 (step @p403 :rule cong :premises (@p39 @p141) :args ((tptp.multiplication @t74 @t65))) % 17.31/17.57 (step @p404 :rule instantiate :premises (@p9) :args (@t137)) % 17.31/17.57 (step @p405 :rule symm :premises (@p404)) % 17.31/17.57 (step @p406 :rule cnf_and_pos :args (@t133 1)) % 17.31/17.57 (step @p407 :rule reordering :premises (@p406) :args ((or @t131 @t135))) % 17.31/17.57 (step @p408 :rule chain_m_resolution :premises (@p407 @p198) :args (@t131 @t72 @t136)) % 17.31/17.57 (step @p409 :rule refl :args (@t180)) % 17.31/17.57 (step @p410 :rule cong :premises (@p409 @p408) :args ((tptp.addition @t180 tptp.zero))) % 17.31/17.57 (step @p411 :rule eq-symm :args (@t21 tptp.zero)) % 17.31/17.57 (step @p412 :rule cong :premises (@p411) :args (@t22)) % 17.31/17.57 (step @p413 :rule eq_resolve :premises (@p10 @p412)) % 17.31/17.57 (step @p414 :rule instantiate :premises (@p413) :args (@t100)) % 17.31/17.57 (step @p415 :rule symm :premises (@p414)) % 17.31/17.57 (step @p416 :rule cong :premises (@p409 @p415) :args ((tptp.addition @t180 (tptp.multiplication @t62 tptp.zero)))) % 17.31/17.57 (step @p417 :rule instantiate :premises (@p8) :args ((@list @t62 @t65 tptp.zero))) % 17.31/17.57 (step @p418 :rule cong :premises (@p148 @p394) :args (@t180)) % 17.31/17.57 (step @p419 :rule cong :premises (@p311 @p278) :args ((tptp.multiplication @t166 @t141))) % 17.31/17.57 (step @p420 :rule cong :premises (@p289 @p277) :args ((tptp.multiplication @t166 @t65))) % 17.31/17.57 (step @p421 :rule trans :premises (@p420 @p419 @p418 @p417 @p416 @p410 @p405 @p403)) % 17.31/17.57 (step @p422 :rule symm :premises (@p420)) % 17.31/17.57 (step @p423 :rule symm :premises (@p419)) % 17.31/17.57 (step @p424 :rule cong :premises (@p148 @p278) :args (@t181)) % 17.31/17.57 (step @p425 :rule trans :premises (@p424 @p423 @p422)) % 17.31/17.57 (step @p426 :rule symm :premises (@p424)) % 17.31/17.57 (step @p427 :rule trans :premises (@p426 @p425 @p421)) % 17.31/17.57 (step @p428 :rule cong :premises (@p427 @p40) :args ((tptp.multiplication @t180 @t66))) % 17.31/17.57 (step @p429 :rule instantiate :premises (@p5) :args ((@list @t62 @t65 @t66))) % 17.31/17.57 (step @p430 :rule symm :premises (@p399)) % 17.31/17.57 (step @p431 :rule cong :premises (@p148 @p430) :args (@t182)) % 17.31/17.57 (step @p432 :rule cong :premises (@p148 @p288) :args ((tptp.multiplication @t62 @t110))) % 17.31/17.57 (step @p433 :rule instantiate :premises (@p5) :args (@t123)) % 17.31/17.57 (step @p434 :rule symm :premises (@p433)) % 17.31/17.57 (step @p435 :rule cong :premises (@p297 @p139) :args (@t183)) % 17.31/17.57 (step @p436 :rule trans :premises (@p435 @p434 @p432 @p415)) % 17.31/17.57 (step @p437 :rule cong :premises (@p40 @p436) :args ((tptp.addition @t66 @t183))) % 17.31/17.57 (step @p438 :rule instantiate :premises (@p9) :args ((@list @t65 @t62 @t63))) % 17.31/17.57 (step @p439 :rule trans :premises (@p438 @p437 @p334)) % 17.31/17.57 (step @p440 :rule cong :premises (@p148 @p439) :args ((tptp.multiplication @t62 @t185))) % 17.31/17.57 (step @p441 :rule instantiate :premises (@p5) :args ((@list @t62 @t184 @t63))) % 17.31/17.57 (step @p442 :rule symm :premises (@p441)) % 17.31/17.57 (step @p443 :rule cong :premises (@p148 @p278) :args (@t186)) % 17.31/17.57 (step @p444 :rule trans :premises (@p443 @p209)) % 17.31/17.57 (step @p445 :rule cong :premises (@p148 @p444) :args ((tptp.multiplication @t62 @t186))) % 17.31/17.57 (step @p446 :rule instantiate :premises (@p8) :args ((@list @t62 @t62 @t141))) % 17.31/17.57 (step @p447 :rule symm :premises (@p446)) % 17.31/17.57 (step @p448 :rule refl :args (@t181)) % 17.31/17.57 (step @p449 :rule symm :premises (@p296)) % 17.31/17.57 (step @p450 :rule trans :premises (@p449 @p297)) % 17.31/17.57 (step @p451 :rule cong :premises (@p450 @p448) :args ((tptp.addition @t167 @t181))) % 17.31/17.57 (step @p452 :rule instantiate :premises (@p8) :args ((@list @t62 tptp.one @t141))) % 17.31/17.57 (step @p453 :rule instantiate :premises (@p1) :args ((@list tptp.one @t141))) % 17.31/17.57 (step @p454 :rule symm :premises (@p453)) % 17.31/17.57 (step @p455 :rule cong :premises (@p201 @p44) :args ((tptp.addition tptp.one @t64))) % 17.31/17.57 (step @p456 :rule instantiate :premises (@p1) :args ((@list tptp.one @t64))) % 17.31/17.57 (step @p457 :rule symm :premises (@p456)) % 17.31/17.57 (step @p458 :rule trans :premises (@p457 @p455 @p349 @p348 @p202)) % 17.31/17.57 (step @p459 :rule refl :args (@t141)) % 17.31/17.57 (step @p460 :rule cong :premises (@p459 @p458) :args ((tptp.addition @t141 (tptp.addition @t64 tptp.one)))) % 17.31/17.57 (step @p461 :rule instantiate :premises (@p2) :args ((@list tptp.one @t64 @t141))) % 17.31/17.57 (step @p462 :rule symm :premises (@p461)) % 17.31/17.57 (step @p463 :rule refl :args (tptp.one)) % 17.31/17.57 (step @p464 :rule cong :premises (@p262 @p463) :args ((tptp.addition tptp.one tptp.one))) % 17.31/17.57 (step @p465 :rule instantiate :premises (@p160) :args ((@list tptp.one))) % 17.31/17.57 (step @p466 :rule trans :premises (@p465 @p464 @p462 @p460 @p454)) % 17.31/17.57 (step @p467 :rule cong :premises (@p148 @p466) :args (@t167)) % 17.31/17.57 (step @p468 :rule trans :premises (@p296 @p467 @p452 @p451 @p447 @p445)) % 17.31/17.57 (step @p469 :rule cong :premises (@p468 @p378) :args (@t183)) % 17.31/17.57 (step @p470 :rule symm :premises (@p435)) % 17.31/17.57 (step @p471 :rule symm :premises (@p432)) % 17.31/17.57 (step @p472 :rule trans :premises 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(step @p485 :rule cong :premises (@p484 @p40) :args (@t178)) % 17.31/17.57 (step @p486 :rule trans :premises (@p485 @p483 @p482 @p477 @p376 @p374 @p338)) % 17.31/17.57 (step @p487 :rule instantiate :premises (@p413) :args (@t175)) % 17.31/17.57 (step @p488 :rule symm :premises (@p487)) % 17.31/17.57 (step @p489 :rule symm :premises (@p127)) % 17.31/17.57 (step @p490 :rule cong :premises (@p40 @p489) :args ((tptp.multiplication @t66 @t108))) % 17.31/17.57 (step @p491 :rule instantiate :premises (@p5) :args ((@list @t66 @t78 @t62))) % 17.31/17.57 (step @p492 :rule symm :premises (@p491)) % 17.31/17.57 (step @p493 :rule cong :premises (@p40 @p139) :args (@t187)) % 17.31/17.57 (step @p494 :rule cong :premises (@p334 @p378) :args ((tptp.multiplication @t188 @t63))) % 17.31/17.57 (step @p495 :rule instantiate :premises (@p9) :args ((@list @t66 tptp.zero @t63))) % 17.31/17.57 (step @p496 :rule symm :premises (@p495)) % 17.31/17.57 (step @p497 :rule instantiate :premises (@p389) :args ((@list 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:rule eq-symm :args (@t199 @t200)) % 17.31/17.57 (step @p561 :rule trans :premises (@p560 @p559)) % 17.31/17.57 (step @p562 :rule refl :args (@t202)) % 17.31/17.57 (step @p563 :rule nary_cong :premises (@p562 @p561) :args (@t203)) % 17.31/17.57 (step @p564 :rule cong :premises (@p63 @p563) :args ((=> @t84 @t203))) % 17.31/17.57 (assume-push @p734 @t84) % 17.31/17.57 (step @p566 :rule instantiate :premises (@p57) :args (@t68)) % 17.31/17.57 (step-pop @p735 :rule scope :premises (@p566)) % 17.31/17.57 (step @p567 :rule process_scope :premises (@p735) :args (@t203)) % 17.31/17.57 (step @p569 :rule eq_resolve :premises (@p567 @p564)) % 17.31/17.57 (step @p570 :rule implies_elim :premises (@p569)) % 17.31/17.57 (step @p571 :rule chain_m_resolution :premises (@p570 @p57) :args (@t206 @t72 @t89)) % 17.31/17.57 (step @p572 :rule instantiate :premises (@p26) :args ((@list @t66 @t67))) % 17.31/17.57 (step @p573 :rule trans :premises (@p123 @p94 @p330 @p165 @p329 @p328 @p327 @p207 @p326 @p325 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17.31/17.57 (step @p586 :rule refl :args (@t212)) % 17.31/17.57 (step @p587 :rule cong :premises (@p586 @p585) :args ((=> @t212 @t213))) % 17.31/17.57 (assume-push @p736 @t212) % 17.31/17.57 (step @p589 :rule instantiate :premises (@p584) :args ((@list @t66 @t66))) % 17.31/17.57 (step-pop @p737 :rule scope :premises (@p589)) % 17.31/17.57 (step @p590 :rule process_scope :premises (@p737) :args (@t213)) % 17.31/17.57 (step @p592 :rule eq_resolve :premises (@p590 @p587)) % 17.31/17.57 (step @p593 :rule implies_elim :premises (@p592)) % 17.31/17.57 (step @p594 :rule chain_m_resolution :premises (@p593 @p584) :args (@t214 @t72 (@list @t212))) % 17.31/17.57 (step @p595 :rule instantiate :premises (@p160) :args (@t175)) % 17.31/17.57 (step @p596 :rule cnf_equiv_pos1 :args (@t214)) % 17.31/17.57 (step @p597 :rule reordering :premises (@p596) :args ((or (not @t211) @t210 (not @t214)))) % 17.31/17.57 (step @p598 :rule chain_m_resolution :premises (@p597 @p595 @p594) :args (@t210 @t99 (@list 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17.31/17.57 (step-pop @p745 :rule scope :premises (@p744)) % 17.31/17.57 (step @p614 :rule process_scope :premises (@p745) :args (@t217)) % 17.31/17.57 (step @p617 :rule implies_elim :premises (@p614)) % 17.31/17.57 (step @p618 :rule cnf_and_neg :args (@t218)) % 17.31/17.57 (step @p619 :rule resolution :premises (@p618 @p617) :args (true @t218)) % 17.31/17.57 (step @p620 :rule reordering :premises (@p619) :args ((or @t217 (not @t216) @t219))) % 17.31/17.57 (step @p621 :rule cnf_equiv_pos2 :args (@t205)) % 17.31/17.57 (step @p622 :rule reordering :premises (@p621) :args ((or @t204 (not @t199) @t220))) % 17.31/17.57 (step @p623 :rule cnf_or_pos :args (@t206)) % 17.31/17.57 (step @p624 :rule reordering :premises (@p623) :args ((or @t202 @t205 (not @t206)))) % 17.31/17.57 (step @p625 :rule refl :args (@t221)) % 17.31/17.57 (step @p626 :rule bool-double-not-elim :args (@t33)) % 17.31/17.57 (step @p627 :rule nary_cong :premises (@p626 @p625) :args ((or (not @t49) @t221))) % 17.31/17.57 (step @p628 :rule bool-impl-elim :args (@t49 @t221)) % 17.31/17.57 (step @p629 :rule trans :premises (@p628 @p627)) % 17.31/17.57 (step @p630 :rule cong :premises (@p629) :args ((forall @t35 (=> @t49 @t221)))) % 17.31/17.57 (step @p631 :rule eq-symm :args (@t45 tptp.zero)) % 17.31/17.57 (step @p632 :rule refl :args (@t49)) % 17.31/17.57 (step @p633 :rule cong :premises (@p632 @p631) :args (@t50)) % 17.31/17.57 (step @p634 :rule cong :premises (@p633) :args (@t51)) % 17.31/17.57 (step @p635 :rule trans :premises (@p634 @p630)) % 17.31/17.57 (step @p636 :rule eq_resolve :premises (@p16 @p635)) % 17.31/17.57 (step @p637 :rule instantiate :premises (@p636) :args (@t191)) % 17.31/17.57 (step @p638 :rule cnf_or_pos :args (@t223)) % 17.31/17.57 (step @p639 :rule reordering :premises (@p638) :args ((or @t201 @t222 (not @t223)))) % 17.31/17.57 (assume-push @p746 @t222) % 17.31/17.57 (assume-push @p747 @t224) % 17.31/17.57 (assume-push @p748 @t226) % 17.31/17.57 (assume-push @p749 @t222) % 17.31/17.57 (assume-push @p750 @t226) % 17.31/17.57 (assume-push @p751 @t224) % 17.31/17.57 (step @p646 :rule cong :premises (@p746 @p40) :args (@t225)) % 17.31/17.57 (step @p647 :rule trans :premises (@p333 @p335 @p646)) % 17.31/17.57 (step-pop @p752 :rule scope :premises (@p647)) % 17.31/17.57 (step-pop @p753 :rule scope :premises (@p752)) % 17.31/17.57 (step-pop @p754 :rule scope :premises (@p753)) % 17.31/17.57 (step @p648 :rule process_scope :premises (@p754) :args (@t217)) % 17.31/17.57 (step @p652 :rule and_intro :premises (@p746 @p335 @p333)) % 17.31/17.57 (step @p653 :rule modus_ponens :premises (@p652 @p648)) % 17.31/17.57 (step-pop @p755 :rule scope :premises (@p653)) % 17.31/17.57 (step-pop @p756 :rule scope :premises (@p755)) % 17.31/17.57 (step-pop @p757 :rule scope :premises (@p756)) % 17.31/17.57 (step @p654 :rule process_scope :premises (@p757) :args (@t217)) % 17.31/17.57 (step @p658 :rule implies_elim :premises (@p654)) % 17.31/17.57 (step @p659 :rule cnf_and_neg :args (@t227)) 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17.31/17.57 (step @p669 :rule chain_m_resolution :premises (@p668 @p667 @p665) :args (@t229 @t230 (@list @t93 @t92))) % 17.31/17.57 (step @p670 :rule refl :args (@t231)) % 17.31/17.57 (step @p671 :rule refl :args (@t219)) % 17.31/17.57 (step @p672 :rule bool-double-not-elim :args (@t91)) % 17.31/17.57 (step @p673 :rule nary_cong :premises (@p672 @p671 @p670) :args ((or (not @t229) @t219 @t231))) % 17.31/17.57 (assume-push @p758 @t210) % 17.31/17.57 (assume-push @p759 @t204) % 17.31/17.57 (assume-push @p760 @t229) % 17.31/17.57 (step @p677 :rule evaluate :args ((= false true))) % 17.31/17.57 (step @p678 :rule true_intro :premises (@p598)) % 17.31/17.57 (step @p679 :rule cong :premises (@p40 @p759) :args (@t91)) % 17.31/17.57 (step @p680 :rule false_intro :premises (@p760)) % 17.31/17.57 (step @p681 :rule symm :premises (@p680)) % 17.31/17.57 (step @p682 :rule trans :premises (@p681 @p679 @p678)) % 17.31/17.57 (step @p683 false :rule eq_resolve :premises (@p682 @p677)) % 17.31/17.57 (step-pop @p761 :rule scope :premises (@p683)) % 17.31/17.57 (step-pop @p762 :rule scope :premises (@p761)) % 17.31/17.57 (step-pop @p763 :rule scope :premises (@p762)) % 17.31/17.57 (step @p684 :rule process_scope :premises (@p763) :args (false)) % 17.31/17.57 (assume-push @p764 @t229) % 17.31/17.57 (assume-push @p765 @t204) % 17.31/17.57 (assume-push @p766 @t210) % 17.31/17.57 (step @p691 :rule and_intro :premises (@p598 @p765 @p764)) % 17.31/17.57 (step-pop @p767 :rule scope :premises (@p691)) % 17.31/17.57 (step-pop @p768 :rule scope :premises (@p767)) % 17.31/17.57 (step-pop @p769 :rule scope :premises (@p768)) % 17.31/17.57 (step @p692 :rule process_scope :premises (@p769) :args (@t232)) % 17.31/17.57 (step @p696 :rule implies_elim :premises (@p692)) % 17.31/17.57 (step @p697 :rule resolution :premises (@p696 @p684) :args (true @t232)) % 17.31/17.57 (step @p698 :rule not_and :premises (@p697)) % 17.31/17.57 (step @p699 :rule eq_resolve :premises (@p698 @p673)) % 17.31/17.57 (step @p700 :rule reordering :premises (@p699) :args ((or @t91 @t231 @t219))) % 17.31/17.57 (step @p701 :rule chain_m_resolution :premises (@p700 @p669 @p598) :args (@t219 @t230 (@list @t91 @t210))) % 17.31/17.57 (step @p702 :rule chain_m_resolution :premises (@p622 @p701 @p579) :args (@t220 @t230 (@list @t204 @t199))) % 17.31/17.57 (step @p703 :rule chain_m_resolution :premises (@p624 @p702 @p571) :args (@t202 @t230 (@list @t205 @t206))) % 17.31/17.57 (step @p704 :rule bool-double-not-elim :args (@t233)) % 17.31/17.57 (step @p705 :rule refl :args (@t201)) % 17.31/17.57 (step @p706 :rule refl :args (@t236)) % 17.31/17.57 (step @p707 :rule nary_cong :premises (@p706 @p705 @p704) :args ((or @t236 @t201 (not @t234)))) % 17.31/17.57 (step @p708 :rule cnf_equiv_pos2 :args (@t235)) % 17.31/17.57 (step @p709 :rule eq_resolve :premises (@p708 @p707)) % 17.31/17.57 (step @p710 :rule reordering :premises (@p709) :args ((or @t201 @t233 @t236))) % 17.31/17.57 (step @p711 :rule chain_m_resolution :premises (@p710 @p703 @p556) :args (@t233 @t230 (@list @t201 @t235))) % 17.31/17.57 (assume-push @p770 @t233) % 17.31/17.57 (step @p713 :rule instantiate :premises (@p770) :args (@t175)) % 17.31/17.57 (step-pop @p771 :rule scope :premises (@p713)) % 17.31/17.57 (step @p714 :rule process_scope :premises (@p771) :args ((not @t197))) % 17.31/17.57 (step @p716 :rule implies_elim :premises (@p714)) % 17.31/17.57 (step @p717 false :rule chain_m_resolution :premises (@p716 @p711 @p555) :args (false @t99 (@list @t233 @t197))) % 17.31/17.57 ) % 17.31/17.57 % SZS output end Proof % 17.31/17.57 % cvc5 exiting %------------------------------------------------------------------------------