%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE043+1 : 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 : n014.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 08:28:11 AM UTC 2026 % Result : Theorem 1.02s 1.21s % Output : Proof 1.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE043+1 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n014.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 05:11:28 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 1.02/1.21 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.02/1.21 % SZS status Theorem % 1.02/1.21 % SZS output start Proof % 1.02/1.21 ( % 1.02/1.21 (declare-sort $$unsorted 0) % 1.02/1.21 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 1.02/1.21 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.21 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 1.02/1.21 (declare-const tptp.zero $$unsorted) % 1.02/1.21 (declare-const tptp.one $$unsorted) % 1.02/1.21 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.21 (define @t1 () (@var "A" $$unsorted)) % 1.02/1.21 (define @t2 () (@var "B" $$unsorted)) % 1.02/1.21 (define @t3 () (tptp.addition @t1 @t2)) % 1.02/1.21 (define @t4 () (@list @t1 @t2)) % 1.02/1.21 (define @t5 () (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 1.02/1.21 (define @t6 () (@var "C" $$unsorted)) % 1.02/1.21 (define @t7 () (tptp.addition @t2 @t6)) % 1.02/1.21 (define @t8 () (forall (@list @t6 @t2 @t1) (= (tptp.addition @t1 @t7) (tptp.addition @t3 @t6)))) % 1.02/1.21 (define @t9 () (@list @t1)) % 1.02/1.21 (define @t10 () (tptp.addition @t1 @t1)) % 1.02/1.21 (define @t11 () (forall @t9 (= @t10 @t1))) % 1.02/1.21 (define @t12 () (tptp.multiplication @t1 @t2)) % 1.02/1.21 (define @t13 () (tptp.multiplication @t2 @t6)) % 1.02/1.21 (define @t14 () (@list @t1 @t2 @t6)) % 1.02/1.21 (define @t15 () (forall @t14 (= (tptp.multiplication @t1 @t13) (tptp.multiplication @t12 @t6)))) % 1.02/1.21 (define @t16 () (tptp.multiplication @t1 tptp.one)) % 1.02/1.21 (define @t17 () (forall @t9 (= @t16 @t1))) % 1.02/1.21 (define @t18 () (tptp.multiplication tptp.one @t1)) % 1.02/1.21 (define @t19 () (forall @t9 (= @t18 @t1))) % 1.02/1.21 (define @t20 () (tptp.multiplication @t1 @t6)) % 1.02/1.21 (define @t21 () (forall @t14 (= (tptp.multiplication @t3 @t6) (tptp.addition @t20 @t13)))) % 1.02/1.21 (define @t22 () (tptp.leq @t1 @t2)) % 1.02/1.21 (define @t23 () (= @t22 (= @t3 @t2))) % 1.02/1.21 (define @t24 () (forall @t4 @t23)) % 1.02/1.21 (define @t25 () (tptp.star @t1)) % 1.02/1.21 (define @t26 () (tptp.leq (tptp.multiplication @t25 @t6) @t2)) % 1.02/1.21 (define @t27 () (tptp.addition @t12 @t6)) % 1.02/1.21 (define @t28 () (tptp.leq @t27 @t2)) % 1.02/1.21 (define @t29 () (forall @t14 (=> @t28 @t26))) % 1.02/1.21 (define @t30 () (tptp.leq (tptp.multiplication @t6 (tptp.star @t2)) @t1)) % 1.02/1.21 (define @t31 () (tptp.leq @t27 @t1)) % 1.02/1.21 (define @t32 () (forall @t14 (=> @t31 @t30))) % 1.02/1.21 (define @t33 () (@var "X1" $$unsorted)) % 1.02/1.21 (define @t34 () (@var "X0" $$unsorted)) % 1.02/1.21 (define @t35 () (tptp.star @t34)) % 1.02/1.21 (define @t36 () (forall (@list @t34 @t33) (= (tptp.multiplication @t35 @t33) (tptp.addition @t33 (tptp.multiplication (tptp.multiplication @t34 @t35) @t33))))) % 1.02/1.21 (define @t37 () (@quantifiers_skolemize @t36 1)) % 1.02/1.21 (define @t38 () (@quantifiers_skolemize @t36 0)) % 1.02/1.21 (define @t39 () (tptp.star @t38)) % 1.02/1.21 (define @t40 () (tptp.multiplication @t39 @t37)) % 1.02/1.21 (define @t41 () (tptp.multiplication @t38 @t40)) % 1.02/1.21 (define @t42 () (tptp.multiplication @t38 @t39)) % 1.02/1.21 (define @t43 () (tptp.multiplication @t42 @t37)) % 1.02/1.21 (define @t44 () (= @t41 @t43)) % 1.02/1.21 (define @t45 () (@list @t38 @t39 @t37)) % 1.02/1.21 (define @t46 () (= @t43 @t41)) % 1.02/1.21 (define @t47 () (@list false)) % 1.02/1.21 (define @t48 () (tptp.addition tptp.one @t42)) % 1.02/1.21 (define @t49 () (@list @t38)) % 1.02/1.21 (define @t50 () (tptp.addition @t48 @t39)) % 1.02/1.21 (define @t51 () (= @t39 @t50)) % 1.02/1.21 (define @t52 () (tptp.leq @t48 @t39)) % 1.02/1.21 (define @t53 () (= @t52 @t51)) % 1.02/1.21 (define @t54 () (@list false false)) % 1.02/1.21 (define @t55 () (tptp.multiplication @t39 @t38)) % 1.02/1.21 (define @t56 () (tptp.addition tptp.one @t55)) % 1.02/1.21 (define @t57 () (@list @t56 @t39)) % 1.02/1.21 (define @t58 () (tptp.addition @t56 @t39)) % 1.02/1.21 (define @t59 () (= @t39 @t58)) % 1.02/1.21 (define @t60 () (tptp.leq @t56 @t39)) % 1.02/1.21 (define @t61 () (= @t60 @t59)) % 1.02/1.21 (define @t62 () (tptp.addition @t42 @t39)) % 1.02/1.21 (define @t63 () (tptp.addition tptp.one @t62)) % 1.02/1.21 (define @t64 () (= @t63 @t50)) % 1.02/1.21 (define @t65 () (@list @t39 @t42 tptp.one)) % 1.02/1.21 (define @t66 () (= @t50 @t63)) % 1.02/1.21 (define @t67 () (@list @t8)) % 1.02/1.21 (define @t68 () (tptp.addition @t55 @t56)) % 1.02/1.21 (define @t69 () (tptp.addition tptp.one @t68)) % 1.02/1.21 (define @t70 () (tptp.addition @t56 @t56)) % 1.02/1.21 (define @t71 () (= @t69 @t70)) % 1.02/1.21 (define @t72 () (@list @t56 @t55 tptp.one)) % 1.02/1.21 (define @t73 () (= @t70 @t69)) % 1.02/1.21 (define @t74 () (@list @t39)) % 1.02/1.21 (define @t75 () (tptp.multiplication @t39 tptp.one)) % 1.02/1.21 (define @t76 () (tptp.addition @t42 tptp.one)) % 1.02/1.21 (define @t77 () (tptp.leq @t76 @t39)) % 1.02/1.21 (define @t78 () (tptp.leq @t75 @t39)) % 1.02/1.21 (define @t79 () (not @t77)) % 1.02/1.21 (define @t80 () (or @t79 @t78)) % 1.02/1.21 (define @t81 () (tptp.addition @t75 @t39)) % 1.02/1.21 (define @t82 () (= @t39 @t81)) % 1.02/1.21 (define @t83 () (= @t78 @t82)) % 1.02/1.21 (define @t84 () (tptp.addition tptp.one @t39)) % 1.02/1.21 (define @t85 () (tptp.addition @t39 tptp.one)) % 1.02/1.21 (define @t86 () (= @t84 @t85)) % 1.02/1.21 (define @t87 () (@list tptp.one @t39)) % 1.02/1.21 (define @t88 () (= @t85 @t84)) % 1.02/1.21 (define @t89 () (tptp.multiplication tptp.one @t39)) % 1.02/1.21 (define @t90 () (tptp.multiplication tptp.one tptp.one)) % 1.02/1.21 (define @t91 () (tptp.multiplication @t62 tptp.one)) % 1.02/1.21 (define @t92 () (tptp.multiplication tptp.one @t38)) % 1.02/1.21 (define @t93 () (tptp.multiplication @t62 @t38)) % 1.02/1.21 (define @t94 () (tptp.multiplication @t38 @t55)) % 1.02/1.21 (define @t95 () (tptp.multiplication @t38 tptp.one)) % 1.02/1.21 (define @t96 () (tptp.addition @t89 @t90)) % 1.02/1.21 (define @t97 () (tptp.multiplication @t39 @t42)) % 1.02/1.21 (define @t98 () (@list @t97 @t42)) % 1.02/1.21 (define @t99 () (tptp.addition @t55 @t55)) % 1.02/1.21 (define @t100 () (tptp.addition tptp.one @t99)) % 1.02/1.21 (define @t101 () (tptp.addition @t56 @t55)) % 1.02/1.21 (define @t102 () (= @t100 @t101)) % 1.02/1.21 (define @t103 () (@list @t55 @t55 tptp.one)) % 1.02/1.21 (define @t104 () (= @t101 @t100)) % 1.02/1.21 (define @t105 () (tptp.addition @t42 @t55)) % 1.02/1.21 (define @t106 () (tptp.addition tptp.one @t105)) % 1.02/1.21 (define @t107 () (tptp.addition @t48 @t55)) % 1.02/1.21 (define @t108 () (= @t106 @t107)) % 1.02/1.21 (define @t109 () (@list @t55 @t42 tptp.one)) % 1.02/1.21 (define @t110 () (= @t107 @t106)) % 1.02/1.21 (define @t111 () (tptp.addition @t55 @t42)) % 1.02/1.21 (define @t112 () (tptp.addition tptp.one @t111)) % 1.02/1.21 (define @t113 () (tptp.addition @t56 @t42)) % 1.02/1.21 (define @t114 () (= @t112 @t113)) % 1.02/1.21 (define @t115 () (= @t113 @t112)) % 1.02/1.21 (define @t116 () (tptp.multiplication @t38 @t68)) % 1.02/1.21 (define @t117 () (tptp.multiplication @t38 @t56)) % 1.02/1.21 (define @t118 () (tptp.multiplication (tptp.addition tptp.one @t117) @t37)) % 1.02/1.21 (define @t119 () (tptp.multiplication @t117 @t37)) % 1.02/1.21 (define @t120 () (tptp.multiplication tptp.one @t37)) % 1.02/1.21 (define @t121 () (tptp.addition @t120 @t119)) % 1.02/1.21 (define @t122 () (= @t118 @t121)) % 1.02/1.21 (define @t123 () (@list tptp.one @t117 @t37)) % 1.02/1.21 (define @t124 () (= @t121 @t118)) % 1.02/1.21 (define @t125 () (tptp.multiplication @t56 @t38)) % 1.02/1.21 (define @t126 () (= @t55 (tptp.addition @t125 @t55))) % 1.02/1.21 (define @t127 () (tptp.leq @t125 @t55)) % 1.02/1.21 (define @t128 () (= @t127 @t126)) % 1.02/1.21 (define @t129 () (tptp.multiplication @t55 @t38)) % 1.02/1.21 (define @t130 () (tptp.addition @t129 @t38)) % 1.02/1.21 (define @t131 () (tptp.leq @t130 @t55)) % 1.02/1.21 (define @t132 () (tptp.leq @t42 @t55)) % 1.02/1.21 (define @t133 () (not @t131)) % 1.02/1.21 (define @t134 () (or @t133 @t132)) % 1.02/1.21 (define @t135 () (= @t55 @t105)) % 1.02/1.21 (define @t136 () (= @t132 @t135)) % 1.02/1.21 (define @t137 () (tptp.addition @t117 tptp.one)) % 1.02/1.21 (define @t138 () (tptp.addition @t76 @t55)) % 1.02/1.21 (define @t139 () (tptp.addition @t55 @t48)) % 1.02/1.21 (define @t140 () (tptp.addition tptp.one @t139)) % 1.02/1.21 (define @t141 () (tptp.addition @t56 @t48)) % 1.02/1.21 (define @t142 () (= @t140 @t141)) % 1.02/1.21 (define @t143 () (tptp.addition @t76 @t56)) % 1.02/1.21 (define @t144 () (tptp.addition @t89 @t39)) % 1.02/1.21 (define @t145 () (tptp.multiplication @t144 @t38)) % 1.02/1.21 (define @t146 () (tptp.multiplication @t63 @t38)) % 1.02/1.21 (define @t147 () (tptp.addition @t92 @t93)) % 1.02/1.21 (define @t148 () (tptp.addition @t147 @t56)) % 1.02/1.21 (define @t149 () (tptp.addition @t92 (tptp.addition @t93 @t56))) % 1.02/1.21 (define @t150 () (tptp.addition @t42 @t56)) % 1.02/1.21 (define @t151 () (= @t56 (tptp.addition @t137 @t56))) % 1.02/1.21 (define @t152 () (tptp.leq @t137 @t56)) % 1.02/1.21 (define @t153 () (= @t152 @t151)) % 1.02/1.21 (define @t154 () (tptp.leq @t75 @t56)) % 1.02/1.21 (define @t155 () (not @t152)) % 1.02/1.21 (define @t156 () (or @t155 @t154)) % 1.02/1.21 (define @t157 () (tptp.leq @t39 @t56)) % 1.02/1.21 (define @t158 () (tptp.addition @t39 @t56)) % 1.02/1.21 (define @t159 () (= @t56 @t158)) % 1.02/1.21 (define @t160 () (= @t157 @t159)) % 1.02/1.21 (define @t161 () (tptp.multiplication @t38 @t62)) % 1.02/1.21 (define @t162 () (tptp.addition @t117 @t42)) % 1.02/1.21 (define @t163 () (= @t42 @t162)) % 1.02/1.21 (define @t164 () (tptp.leq @t117 @t42)) % 1.02/1.21 (define @t165 () (= @t164 @t163)) % 1.02/1.21 (define @t166 () (tptp.addition (tptp.multiplication @t42 @t38) @t38)) % 1.02/1.21 (define @t167 () (tptp.leq @t166 @t42)) % 1.02/1.21 (define @t168 () (tptp.leq @t42 @t42)) % 1.02/1.21 (define @t169 () (not @t167)) % 1.02/1.21 (define @t170 () (or @t169 @t168)) % 1.02/1.21 (define @t171 () (tptp.multiplication @t92 @t56)) % 1.02/1.21 (define @t172 () (tptp.multiplication @t63 tptp.one)) % 1.02/1.21 (define @t173 () (tptp.addition @t90 @t91)) % 1.02/1.21 (define @t174 () (tptp.addition @t89 @t173)) % 1.02/1.21 (define @t175 () (tptp.addition @t39 @t68)) % 1.02/1.21 (define @t176 () (tptp.addition @t68 @t39)) % 1.02/1.21 (define @t177 () (tptp.addition tptp.one @t176)) % 1.02/1.21 (define @t178 () (tptp.addition @t62 @t39)) % 1.02/1.21 (define @t179 () (tptp.addition @t42 @t89)) % 1.02/1.21 (define @t180 () (tptp.addition @t179 @t39)) % 1.02/1.21 (define @t181 () (tptp.addition @t89 @t42)) % 1.02/1.21 (define @t182 () (tptp.multiplication (tptp.addition tptp.one @t38) @t39)) % 1.02/1.21 (define @t183 () (tptp.multiplication @t38 @t182)) % 1.02/1.21 (define @t184 () (tptp.addition (tptp.multiplication @t38 @t117) @t161)) % 1.02/1.21 (define @t185 () (tptp.leq @t184 @t117)) % 1.02/1.21 (define @t186 () (tptp.leq (tptp.multiplication @t39 @t161) @t117)) % 1.02/1.21 (define @t187 () (not @t185)) % 1.02/1.21 (define @t188 () (or @t187 @t186)) % 1.02/1.21 (define @t189 () (tptp.addition @t42 @t144)) % 1.02/1.21 (define @t190 () (tptp.addition @t69 @t39)) % 1.02/1.21 (define @t191 () (tptp.multiplication @t89 @t38)) % 1.02/1.21 (define @t192 () (tptp.addition @t191 @t55)) % 1.02/1.21 (define @t193 () (tptp.addition @t91 @t96)) % 1.02/1.21 (define @t194 () (tptp.leq @t97 @t42)) % 1.02/1.21 (define @t195 () (tptp.addition @t97 @t42)) % 1.02/1.21 (define @t196 () (= @t42 @t195)) % 1.02/1.21 (define @t197 () (= @t194 @t196)) % 1.02/1.21 (define @t198 () (= @t48 @t76)) % 1.02/1.21 (define @t199 () (= @t58 @t158)) % 1.02/1.21 (define @t200 () (= @t62 (tptp.addition @t39 @t42))) % 1.02/1.21 (define @t201 () (= @t56 @t70)) % 1.02/1.21 (define @t202 () (= @t39 @t75)) % 1.02/1.21 (define @t203 () (= @t39 @t89)) % 1.02/1.21 (define @t204 () (tptp.addition @t95 @t94)) % 1.02/1.21 (define @t205 () (= @t117 @t204)) % 1.02/1.21 (define @t206 () (= @t146 @t147)) % 1.02/1.21 (define @t207 () (= @t172 @t173)) % 1.02/1.21 (define @t208 () (= @t150 @t113)) % 1.02/1.21 (define @t209 () (= @t68 @t101)) % 1.02/1.21 (define @t210 () (= @t189 @t180)) % 1.02/1.21 (define @t211 () (tptp.addition @t96 @t91)) % 1.02/1.21 (define @t212 () (= @t174 @t211)) % 1.02/1.21 (define @t213 () (= @t150 @t138)) % 1.02/1.21 (define @t214 () (= @t177 @t190)) % 1.02/1.21 (define @t215 () (= @t149 @t148)) % 1.02/1.21 (define @t216 () (= @t97 (tptp.multiplication @t55 @t39))) % 1.02/1.21 (define @t217 () (tptp.multiplication @t56 @t37)) % 1.02/1.21 (define @t218 () (tptp.multiplication @t38 @t217)) % 1.02/1.21 (define @t219 () (= @t218 @t119)) % 1.02/1.21 (define @t220 () (= tptp.one @t90)) % 1.02/1.21 (define @t221 () (= @t38 @t95)) % 1.02/1.21 (define @t222 () (= @t62 @t91)) % 1.02/1.21 (define @t223 () (= @t38 @t92)) % 1.02/1.21 (define @t224 () (= @t37 @t120)) % 1.02/1.21 (define @t225 () (tptp.multiplication @t38 @t89)) % 1.02/1.21 (define @t226 () (tptp.addition @t225 @t42)) % 1.02/1.21 (define @t227 () (tptp.multiplication @t38 @t144)) % 1.02/1.21 (define @t228 () (= @t227 @t226)) % 1.02/1.21 (define @t229 () (tptp.addition @t95 @t116)) % 1.02/1.21 (define @t230 () (tptp.multiplication @t38 @t69)) % 1.02/1.21 (define @t231 () (= @t230 @t229)) % 1.02/1.21 (define @t232 () (= @t145 @t192)) % 1.02/1.21 (define @t233 () (tptp.multiplication @t93 @t39)) % 1.02/1.21 (define @t234 () (tptp.multiplication @t147 @t39)) % 1.02/1.21 (define @t235 () (= @t234 (tptp.addition (tptp.multiplication @t92 @t39) @t233))) % 1.02/1.21 (define @t236 () (tptp.addition (tptp.multiplication @t95 @t37) (tptp.multiplication @t94 @t37))) % 1.02/1.21 (define @t237 () (tptp.multiplication @t204 @t37)) % 1.02/1.21 (define @t238 () (= @t237 @t236)) % 1.02/1.21 (define @t239 () (tptp.addition @t89 @t89)) % 1.02/1.21 (define @t240 () (tptp.multiplication (tptp.addition tptp.one tptp.one) @t39)) % 1.02/1.21 (define @t241 () (= @t240 @t239)) % 1.02/1.21 (define @t242 () (= @t182 @t181)) % 1.02/1.21 (define @t243 () (= @t211 @t193)) % 1.02/1.21 (define @t244 () (= @t195 (tptp.addition @t42 @t97))) % 1.02/1.21 (define @t245 () (= @t176 @t175)) % 1.02/1.21 (define @t246 () (tptp.addition @t38 @t38)) % 1.02/1.21 (define @t247 () (= @t38 @t246)) % 1.02/1.21 (define @t248 () (tptp.multiplication @t55 @t56)) % 1.02/1.21 (define @t249 () (tptp.multiplication @t39 @t117)) % 1.02/1.21 (define @t250 () (= @t249 @t248)) % 1.02/1.21 (define @t251 () (tptp.multiplication @t39 @t229)) % 1.02/1.21 (define @t252 () (= @t251 (tptp.addition (tptp.multiplication @t39 @t95) (tptp.multiplication @t39 @t116)))) % 1.02/1.21 (define @t253 () (tptp.addition @t42 @t233)) % 1.02/1.21 (define @t254 () (= @t40 (tptp.addition @t37 @t43))) % 1.02/1.21 (define @t255 () (and @t46 @t198 @t51 @t59 @t199 @t66 @t200 @t73 @t201 @t202 @t203 @t205 @t206 @t207 @t82 @t159 @t88 @t208 @t209 @t210 @t212 @t213 @t214 @t215 @t216 @t219 @t220 @t221 @t222 @t223 @t224 @t228 @t231 @t232 @t235 @t238 @t241 @t242 @t243 @t244 @t245 @t104 @t110 @t115 @t247 @t250 @t252 @t124 @t135 @t196)) % 1.02/1.21 (assume @p1 @t5) % 1.02/1.21 (assume @p2 @t8) % 1.02/1.21 (assume @p3 (forall @t9 (= (tptp.addition @t1 tptp.zero) @t1))) % 1.02/1.21 (assume @p4 @t11) % 1.02/1.21 (assume @p5 @t15) % 1.02/1.21 (assume @p6 @t17) % 1.02/1.21 (assume @p7 @t19) % 1.02/1.21 (assume @p8 (forall @t14 (= (tptp.multiplication @t1 @t7) (tptp.addition @t12 @t20)))) % 1.02/1.21 (assume @p9 @t21) % 1.02/1.21 (assume @p10 (forall @t9 (= (tptp.multiplication @t1 tptp.zero) tptp.zero))) % 1.02/1.21 (assume @p11 (forall @t9 (= (tptp.multiplication tptp.zero @t1) tptp.zero))) % 1.02/1.21 (assume @p12 @t24) % 1.02/1.21 (assume @p13 (forall @t9 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t1 @t25)) @t25))) % 1.02/1.21 (assume @p14 (forall @t9 (tptp.leq (tptp.addition tptp.one (tptp.multiplication @t25 @t1)) @t25))) % 1.02/1.21 (assume @p15 @t29) % 1.02/1.21 (assume @p16 @t32) % 1.02/1.21 (assume @p17 (not @t36)) % 1.02/1.21 (assume @p18 true) % 1.02/1.21 (step @p19 :rule skolemize :premises (@p17)) % 1.02/1.21 (step @p20 :rule eq-symm :args (@t41 @t43)) % 1.02/1.21 (step @p21 :rule refl :args (@t15)) % 1.02/1.21 (step @p22 :rule cong :premises (@p21 @p20) :args ((=> @t15 @t44))) % 1.02/1.21 (assume-push @p610 @t15) % 1.02/1.21 (step @p24 :rule instantiate :premises (@p5) :args (@t45)) % 1.02/1.21 (step-pop @p611 :rule scope :premises (@p24)) % 1.02/1.21 (step @p25 :rule process_scope :premises (@p611) :args (@t44)) % 1.02/1.21 (step @p27 :rule eq_resolve :premises (@p25 @p22)) % 1.02/1.21 (step @p28 :rule implies_elim :premises (@p27)) % 1.02/1.21 (step @p29 :rule chain_m_resolution :premises (@p28 @p5) :args (@t46 @t47 (@list @t15))) % 1.02/1.21 (step @p30 :rule instantiate :premises (@p1) :args ((@list tptp.one @t42))) % 1.02/1.21 (step @p31 :rule eq-symm :args (@t3 @t2)) % 1.02/1.21 (step @p32 :rule refl :args (@t22)) % 1.02/1.21 (step @p33 :rule cong :premises (@p32 @p31) :args (@t23)) % 1.02/1.21 (step @p34 :rule cong :premises (@p33) :args (@t24)) % 1.02/1.21 (step @p35 :rule eq_resolve :premises (@p12 @p34)) % 1.02/1.21 (step @p36 :rule instantiate :premises (@p35) :args ((@list @t48 @t39))) % 1.02/1.21 (step @p37 :rule instantiate :premises (@p13) :args (@t49)) % 1.02/1.21 (step @p38 :rule cnf_equiv_pos1 :args (@t53)) % 1.02/1.21 (step @p39 :rule reordering :premises (@p38) :args ((or (not @t52) @t51 (not @t53)))) % 1.02/1.21 (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p36) :args (@t51 @t54 (@list @t52 @t53))) % 1.02/1.21 (step @p41 :rule instantiate :premises (@p35) :args (@t57)) % 1.02/1.21 (step @p42 :rule instantiate :premises (@p14) :args (@t49)) % 1.02/1.21 (step @p43 :rule cnf_equiv_pos1 :args (@t61)) % 1.02/1.21 (step @p44 :rule reordering :premises (@p43) :args ((or (not @t60) @t59 (not @t61)))) % 1.02/1.21 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p41) :args (@t59 @t54 (@list @t60 @t61))) % 1.02/1.21 (step @p46 :rule instantiate :premises (@p1) :args (@t57)) % 1.02/1.21 (step @p47 :rule eq-symm :args (@t63 @t50)) % 1.02/1.21 (step @p48 :rule refl :args (@t8)) % 1.02/1.21 (step @p49 :rule cong :premises (@p48 @p47) :args ((=> @t8 @t64))) % 1.02/1.21 (assume-push @p612 @t8) % 1.02/1.21 (step @p51 :rule instantiate :premises (@p2) :args (@t65)) % 1.02/1.21 (step-pop @p613 :rule scope :premises (@p51)) % 1.02/1.21 (step @p52 :rule process_scope :premises (@p613) :args (@t64)) % 1.02/1.21 (step @p54 :rule eq_resolve :premises (@p52 @p49)) % 1.02/1.21 (step @p55 :rule implies_elim :premises (@p54)) % 1.02/1.21 (step @p56 :rule chain_m_resolution :premises (@p55 @p2) :args (@t66 @t47 @t67)) % 1.02/1.21 (step @p57 :rule instantiate :premises (@p1) :args ((@list @t42 @t39))) % 1.02/1.21 (step @p58 :rule eq-symm :args (@t69 @t70)) % 1.02/1.21 (step @p59 :rule cong :premises (@p48 @p58) :args ((=> @t8 @t71))) % 1.02/1.21 (assume-push @p614 @t8) % 1.02/1.21 (step @p61 :rule instantiate :premises (@p2) :args (@t72)) % 1.02/1.21 (step-pop @p615 :rule scope :premises (@p61)) % 1.02/1.21 (step @p62 :rule process_scope :premises (@p615) :args (@t71)) % 1.02/1.21 (step @p64 :rule eq_resolve :premises (@p62 @p59)) % 1.02/1.21 (step @p65 :rule implies_elim :premises (@p64)) % 1.02/1.21 (step @p66 :rule chain_m_resolution :premises (@p65 @p2) :args (@t73 @t47 @t67)) % 1.02/1.21 (step @p67 :rule eq-symm :args (@t10 @t1)) % 1.02/1.21 (step @p68 :rule cong :premises (@p67) :args (@t11)) % 1.02/1.21 (step @p69 :rule eq_resolve :premises (@p4 @p68)) % 1.02/1.21 (step @p70 :rule instantiate :premises (@p69) :args ((@list @t56))) % 1.02/1.21 (step @p71 :rule eq-symm :args (@t16 @t1)) % 1.02/1.21 (step @p72 :rule cong :premises (@p71) :args (@t17)) % 1.02/1.21 (step @p73 :rule eq_resolve :premises (@p6 @p72)) % 1.02/1.21 (step @p74 :rule instantiate :premises (@p73) :args (@t74)) % 1.02/1.21 (step @p75 :rule eq-symm :args (@t18 @t1)) % 1.02/1.21 (step @p76 :rule cong :premises (@p75) :args (@t19)) % 1.02/1.21 (step @p77 :rule eq_resolve :premises (@p7 @p76)) % 1.02/1.21 (step @p78 :rule instantiate :premises (@p77) :args (@t74)) % 1.02/1.21 (step @p79 :rule instantiate :premises (@p8) :args ((@list @t38 tptp.one @t55))) % 1.02/1.21 (step @p80 :rule instantiate :premises (@p9) :args ((@list tptp.one @t62 @t38))) % 1.02/1.21 (step @p81 :rule instantiate :premises (@p9) :args ((@list tptp.one @t62 tptp.one))) % 1.02/1.21 (step @p82 :rule instantiate :premises (@p35) :args ((@list @t75 @t39))) % 1.02/1.21 (step @p83 :rule bool-impl-elim :args (@t28 @t26)) % 1.02/1.21 (step @p84 :rule cong :premises (@p83) :args (@t29)) % 1.02/1.21 (step @p85 :rule eq_resolve :premises (@p15 @p84)) % 1.02/1.21 (step @p86 :rule instantiate :premises (@p85) :args ((@list @t38 @t39 tptp.one))) % 1.02/1.21 (step @p87 :rule true_intro :premises (@p37)) % 1.02/1.21 (step @p88 :rule refl :args (@t39)) % 1.02/1.21 (step @p89 :rule symm :premises (@p30)) % 1.02/1.21 (step @p90 :rule cong :premises (@p89 @p88) :args (@t77)) % 1.02/1.21 (step @p91 :rule trans :premises (@p90 @p87)) % 1.02/1.21 (step @p92 :rule true_elim :premises (@p91)) % 1.02/1.21 (step @p93 :rule cnf_or_pos :args (@t80)) % 1.02/1.21 (step @p94 :rule reordering :premises (@p93) :args ((or @t79 @t78 (not @t80)))) % 1.02/1.21 (step @p95 :rule chain_m_resolution :premises (@p94 @p92 @p86) :args (@t78 @t54 (@list @t77 @t80))) % 1.02/1.21 (step @p96 :rule cnf_equiv_pos1 :args (@t83)) % 1.02/1.21 (step @p97 :rule reordering :premises (@p96) :args ((or (not @t78) @t82 (not @t83)))) % 1.02/1.21 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p82) :args (@t82 @t54 (@list @t78 @t83))) % 1.02/1.21 (step @p99 :rule eq-symm :args (@t84 @t85)) % 1.02/1.21 (step @p100 :rule refl :args (@t5)) % 1.02/1.21 (step @p101 :rule cong :premises (@p100 @p99) :args ((=> @t5 @t86))) % 1.02/1.21 (assume-push @p616 @t5) % 1.02/1.21 (step @p103 :rule instantiate :premises (@p1) :args (@t87)) % 1.02/1.21 (step-pop @p617 :rule scope :premises (@p103)) % 1.02/1.21 (step @p104 :rule process_scope :premises (@p617) :args (@t86)) % 1.02/1.21 (step @p106 :rule eq_resolve :premises (@p104 @p101)) % 1.02/1.21 (step @p107 :rule implies_elim :premises (@p106)) % 1.02/1.21 (step @p108 :rule chain_m_resolution :premises (@p107 @p1) :args (@t88 @t47 (@list @t5))) % 1.02/1.21 (step @p109 :rule instantiate :premises (@p1) :args ((@list @t42 @t56))) % 1.02/1.21 (step @p110 :rule instantiate :premises (@p1) :args ((@list @t55 @t56))) % 1.02/1.21 (step @p111 :rule instantiate :premises (@p2) :args ((@list @t39 @t89 @t42))) % 1.02/1.21 (step @p112 :rule instantiate :premises (@p2) :args ((@list @t91 @t90 @t89))) % 1.02/1.21 (step @p113 :rule instantiate :premises (@p2) :args ((@list @t55 tptp.one @t42))) % 1.02/1.21 (step @p114 :rule instantiate :premises (@p2) :args ((@list @t39 @t68 tptp.one))) % 1.02/1.21 (step @p115 :rule instantiate :premises (@p2) :args ((@list @t56 @t93 @t92))) % 1.02/1.21 (step @p116 :rule instantiate :premises (@p5) :args ((@list @t39 @t38 @t39))) % 1.02/1.21 (step @p117 :rule instantiate :premises (@p5) :args ((@list @t38 @t56 @t37))) % 1.02/1.21 (step @p118 :rule instantiate :premises (@p73) :args ((@list tptp.one))) % 1.02/1.21 (step @p119 :rule instantiate :premises (@p73) :args (@t49)) % 1.02/1.21 (step @p120 :rule instantiate :premises (@p73) :args ((@list @t62))) % 1.02/1.21 (step @p121 :rule instantiate :premises (@p77) :args (@t49)) % 1.02/1.21 (step @p122 :rule instantiate :premises (@p77) :args ((@list @t37))) % 1.02/1.21 (step @p123 :rule instantiate :premises (@p8) :args ((@list @t38 @t89 @t39))) % 1.02/1.21 (step @p124 :rule instantiate :premises (@p8) :args ((@list @t38 tptp.one @t68))) % 1.02/1.21 (step @p125 :rule instantiate :premises (@p9) :args ((@list @t89 @t39 @t38))) % 1.02/1.21 (step @p126 :rule instantiate :premises (@p9) :args ((@list @t92 @t93 @t39))) % 1.02/1.21 (step @p127 :rule instantiate :premises (@p9) :args ((@list @t95 @t94 @t37))) % 1.02/1.21 (step @p128 :rule instantiate :premises (@p9) :args ((@list tptp.one tptp.one @t39))) % 1.02/1.21 (step @p129 :rule instantiate :premises (@p9) :args ((@list tptp.one @t38 @t39))) % 1.02/1.21 (step @p130 :rule instantiate :premises (@p1) :args ((@list @t96 @t91))) % 1.02/1.21 (step @p131 :rule instantiate :premises (@p1) :args (@t98)) % 1.02/1.21 (step @p132 :rule instantiate :premises (@p1) :args ((@list @t68 @t39))) % 1.02/1.21 (step @p133 :rule eq-symm :args (@t100 @t101)) % 1.02/1.21 (step @p134 :rule cong :premises (@p48 @p133) :args ((=> @t8 @t102))) % 1.02/1.21 (assume-push @p618 @t8) % 1.02/1.21 (step @p136 :rule instantiate :premises (@p2) :args (@t103)) % 1.02/1.21 (step-pop @p619 :rule scope :premises (@p136)) % 1.02/1.21 (step @p137 :rule process_scope :premises (@p619) :args (@t102)) % 1.02/1.21 (step @p139 :rule eq_resolve :premises (@p137 @p134)) % 1.02/1.21 (step @p140 :rule implies_elim :premises (@p139)) % 1.02/1.21 (step @p141 :rule chain_m_resolution :premises (@p140 @p2) :args (@t104 @t47 @t67)) % 1.02/1.21 (step @p142 :rule eq-symm :args (@t106 @t107)) % 1.02/1.21 (step @p143 :rule cong :premises (@p48 @p142) :args ((=> @t8 @t108))) % 1.02/1.21 (assume-push @p620 @t8) % 1.02/1.21 (step @p145 :rule instantiate :premises (@p2) :args (@t109)) % 1.02/1.21 (step-pop @p621 :rule scope :premises (@p145)) % 1.02/1.21 (step @p146 :rule process_scope :premises (@p621) :args (@t108)) % 1.02/1.21 (step @p148 :rule eq_resolve :premises (@p146 @p143)) % 1.02/1.21 (step @p149 :rule implies_elim :premises (@p148)) % 1.02/1.21 (step @p150 :rule chain_m_resolution :premises (@p149 @p2) :args (@t110 @t47 @t67)) % 1.02/1.21 (step @p151 :rule eq-symm :args (@t112 @t113)) % 1.02/1.21 (step @p152 :rule cong :premises (@p48 @p151) :args ((=> @t8 @t114))) % 1.02/1.21 (assume-push @p622 @t8) % 1.02/1.21 (step @p154 :rule instantiate :premises (@p2) :args ((@list @t42 @t55 tptp.one))) % 1.02/1.21 (step-pop @p623 :rule scope :premises (@p154)) % 1.02/1.21 (step @p155 :rule process_scope :premises (@p623) :args (@t114)) % 1.02/1.21 (step @p157 :rule eq_resolve :premises (@p155 @p152)) % 1.02/1.21 (step @p158 :rule implies_elim :premises (@p157)) % 1.02/1.21 (step @p159 :rule chain_m_resolution :premises (@p158 @p2) :args (@t115 @t47 @t67)) % 1.02/1.21 (step @p160 :rule instantiate :premises (@p69) :args (@t49)) % 1.02/1.21 (step @p161 :rule instantiate :premises (@p5) :args ((@list @t39 @t38 @t56))) % 1.02/1.21 (step @p162 :rule instantiate :premises (@p8) :args ((@list @t39 @t95 @t116))) % 1.02/1.21 (step @p163 :rule eq-symm :args (@t118 @t121)) % 1.02/1.21 (step @p164 :rule refl :args (@t21)) % 1.02/1.21 (step @p165 :rule cong :premises (@p164 @p163) :args ((=> @t21 @t122))) % 1.02/1.21 (assume-push @p624 @t21) % 1.02/1.21 (step @p167 :rule instantiate :premises (@p9) :args (@t123)) % 1.02/1.21 (step-pop @p625 :rule scope :premises (@p167)) % 1.02/1.21 (step @p168 :rule process_scope :premises (@p625) :args (@t122)) % 1.02/1.21 (step @p170 :rule eq_resolve :premises (@p168 @p165)) % 1.02/1.21 (step @p171 :rule implies_elim :premises (@p170)) % 1.02/1.21 (step @p172 :rule chain_m_resolution :premises (@p171 @p9) :args (@t124 @t47 (@list @t21))) % 1.02/1.21 (step @p173 :rule instantiate :premises (@p35) :args ((@list @t42 @t55))) % 1.02/1.21 (step @p174 :rule bool-impl-elim :args (@t31 @t30)) % 1.02/1.21 (step @p175 :rule cong :premises (@p174) :args (@t32)) % 1.02/1.21 (step @p176 :rule eq_resolve :premises (@p16 @p175)) % 1.02/1.21 (step @p177 :rule instantiate :premises (@p176) :args ((@list @t55 @t38 @t38))) % 1.02/1.21 (step @p178 :rule instantiate :premises (@p35) :args ((@list @t125 @t55))) % 1.02/1.21 (step @p179 :rule instantiate :premises (@p9) :args ((@list @t56 @t39 @t38))) % 1.02/1.21 (step @p180 :rule refl :args (@t38)) % 1.02/1.21 (step @p181 :rule cong :premises (@p45 @p180) :args (@t55)) % 1.02/1.21 (step @p182 :rule trans :premises (@p181 @p179)) % 1.02/1.21 (step @p183 :rule cnf_equiv_pos2 :args (@t128)) % 1.02/1.21 (step @p184 :rule reordering :premises (@p183) :args ((or @t127 (not @t126) (not @t128)))) % 1.02/1.21 (step @p185 :rule chain_m_resolution :premises (@p184 @p182 @p178) :args (@t127 @t54 (@list @t126 @t128))) % 1.02/1.21 (step @p186 :rule true_intro :premises (@p185)) % 1.02/1.21 (step @p187 :rule refl :args (@t55)) % 1.02/1.21 (step @p188 :rule instantiate :premises (@p9) :args ((@list tptp.one @t55 @t38))) % 1.02/1.21 (step @p189 :rule symm :premises (@p188)) % 1.02/1.21 (step @p190 :rule instantiate :premises (@p1) :args ((@list @t92 @t129))) % 1.02/1.21 (step @p191 :rule symm :premises (@p190)) % 1.02/1.21 (step @p192 :rule refl :args (@t129)) % 1.02/1.21 (step @p193 :rule cong :premises (@p192 @p121) :args (@t130)) % 1.02/1.21 (step @p194 :rule trans :premises (@p193 @p191 @p189)) % 1.02/1.21 (step @p195 :rule cong :premises (@p194 @p187) :args (@t131)) % 1.02/1.21 (step @p196 :rule trans :premises (@p195 @p186)) % 1.02/1.21 (step @p197 :rule true_elim :premises (@p196)) % 1.02/1.21 (step @p198 :rule cnf_or_pos :args (@t134)) % 1.02/1.21 (step @p199 :rule reordering :premises (@p198) :args ((or @t133 @t132 (not @t134)))) % 1.02/1.21 (step @p200 :rule chain_m_resolution :premises (@p199 @p197 @p177) :args (@t132 @t54 (@list @t131 @t134))) % 1.02/1.21 (step @p201 :rule cnf_equiv_pos1 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1.02/1.21 (assume-push @p658 @t224) % 1.02/1.21 (assume-push @p659 @t228) % 1.02/1.21 (assume-push @p660 @t231) % 1.02/1.21 (assume-push @p661 @t232) % 1.02/1.21 (assume-push @p662 @t235) % 1.02/1.21 (assume-push @p663 @t238) % 1.02/1.21 (assume-push @p664 @t241) % 1.02/1.21 (assume-push @p665 @t242) % 1.02/1.21 (assume-push @p666 @t243) % 1.02/1.21 (assume-push @p667 @t244) % 1.02/1.21 (assume-push @p668 @t245) % 1.02/1.21 (assume-push @p669 @t104) % 1.02/1.21 (assume-push @p670 @t110) % 1.02/1.21 (assume-push @p671 @t115) % 1.02/1.21 (assume-push @p672 @t247) % 1.02/1.21 (assume-push @p673 @t250) % 1.02/1.21 (assume-push @p674 @t252) % 1.02/1.21 (assume-push @p675 @t124) % 1.02/1.21 (assume-push @p676 @t135) % 1.02/1.21 (assume-push @p677 @t196) % 1.02/1.21 (step @p24 :rule instantiate :premises (@p5) :args (@t45)) % 1.02/1.21 (step @p479 :rule refl :args (@t37)) % 1.02/1.21 (step @p480 :rule cong :premises (@p325 @p479) :args (@t217)) % 1.02/1.21 (step @p481 :rule symm :premises (@p160)) % 1.02/1.21 (step @p482 :rule cong :premises (@p481 @p480) :args ((tptp.multiplication @t246 @t217))) % 1.02/1.21 (step @p483 :rule refl :args (@t217)) % 1.02/1.21 (step @p484 :rule cong :premises (@p160 @p483) :args (@t218)) % 1.02/1.21 (step @p485 :rule symm :premises (@p117)) % 1.02/1.21 (step @p486 :rule cong :premises (@p307 @p479) :args (@t237)) % 1.02/1.21 (step @p487 :rule symm :premises (@p127)) % 1.02/1.21 (step @p488 :rule trans :premises (@p487 @p486 @p485 @p484 @p482 @p24)) % 1.02/1.21 (step @p489 :rule cong :premises (@p479 @p488) :args ((tptp.addition @t37 @t236))) % 1.02/1.21 (step @p490 :rule symm :premises (@p486)) % 1.02/1.21 (step @p491 :rule trans :premises (@p490 @p127)) % 1.02/1.21 (step @p492 :rule cong :premises (@p479 @p491) :args ((tptp.addition @t37 @t119))) % 1.02/1.21 (step @p493 :rule refl :args (@t119)) % 1.02/1.21 (step @p494 :rule symm :premises (@p122)) % 1.02/1.21 (step @p495 :rule cong :premises (@p494 @p493) :args (@t121)) % 1.02/1.21 (step @p167 :rule instantiate :premises (@p9) :args (@t123)) % 1.02/1.21 (step @p496 :rule cong :premises (@p406 @p231) :args ((tptp.addition @t90 @t117))) % 1.02/1.21 (step @p497 :rule cong :premises (@p118 @p385) :args (@t48)) % 1.02/1.21 (step @p498 :rule trans :premises (@p497 @p496)) % 1.02/1.21 (step @p499 :rule symm :premises (@p428)) % 1.02/1.21 (step @p500 :rule symm :premises (@p131)) % 1.02/1.21 (step @p501 :rule cong :premises (@p271 @p88) :args (@t234)) % 1.02/1.21 (step @p502 :rule symm :premises (@p126)) % 1.02/1.21 (step @p503 :rule refl :args (@t233)) % 1.02/1.21 (step @p504 :rule cong :premises (@p121 @p88) :args (@t42)) % 1.02/1.21 (step @p505 :rule cong :premises (@p504 @p503) :args (@t253)) % 1.02/1.21 (step @p506 :rule trans :premises (@p505 @p502 @p501 @p420)) % 1.02/1.21 (step @p507 :rule cong :premises (@p180 @p257) :args (@t225)) % 1.02/1.21 (step @p508 :rule cong :premises (@p507 @p506) :args ((tptp.addition @t225 @t253))) % 1.02/1.21 (step @p509 :rule symm :premises (@p505)) % 1.02/1.21 (step @p510 :rule symm :premises (@p501)) % 1.02/1.21 (step @p511 :rule cong :premises (@p258 @p257) :args (@t239)) % 1.02/1.21 (step @p512 :rule trans :premises (@p128 @p511 @p256)) % 1.02/1.21 (step @p513 :rule trans :premises (@p357 @p353)) % 1.02/1.21 (step @p514 :rule cong :premises (@p513 @p180) :args (@t93)) % 1.02/1.21 (step @p515 :rule cong :premises (@p514 @p512) :args ((tptp.multiplication @t93 @t240))) % 1.02/1.21 (step @p516 :rule symm :premises (@p512)) % 1.02/1.21 (step @p517 :rule refl :args (@t93)) % 1.02/1.21 (step @p518 :rule cong :premises (@p517 @p516) :args (@t233)) % 1.02/1.21 (step @p519 :rule trans :premises (@p518 @p515 @p510 @p126 @p509)) % 1.02/1.21 (step @p520 :rule symm :premises (@p507)) % 1.02/1.21 (step @p521 :rule cong :premises (@p180 @p260) :args (@t227)) % 1.02/1.21 (step @p522 :rule symm :premises (@p123)) % 1.02/1.21 (step @p523 :rule trans :premises (@p522 @p521)) % 1.02/1.21 (step @p524 :rule trans :premises (@p523 @p520)) % 1.02/1.21 (step @p525 :rule cong :premises (@p524 @p519) :args ((tptp.addition @t226 @t233))) % 1.02/1.21 (step @p526 :rule symm :premises (@p523)) % 1.02/1.21 (step @p527 :rule cong :premises (@p526 @p503) :args (@t253)) % 1.02/1.21 (step @p528 :rule cong :premises (@p187 @p325) :args (@t248)) % 1.02/1.21 (step @p529 :rule cong :premises (@p180 @p393) :args (@t230)) % 1.02/1.21 (step @p530 :rule symm :premises (@p124)) % 1.02/1.21 (step @p531 :rule trans :premises (@p530 @p529)) % 1.02/1.21 (step @p532 :rule cong :premises (@p88 @p531) :args (@t251)) % 1.02/1.21 (step @p533 :rule symm :premises (@p162)) % 1.02/1.21 (step @p534 :rule trans :premises (@p115 @p272)) % 1.02/1.21 (step @p535 :rule cong :premises (@p180 @p534) :args ((tptp.multiplication @t38 @t149))) % 1.02/1.21 (step @p536 :rule trans :premises (@p401 @p136 @p396 @p276 @p275)) % 1.02/1.21 (step @p537 :rule cong :premises (@p180 @p536) :args (@t117)) % 1.02/1.21 (step @p538 :rule trans :premises (@p537 @p535)) % 1.02/1.21 (step @p539 :rule cong :premises (@p88 @p538) :args (@t249)) % 1.02/1.21 (step @p540 :rule symm :premises (@p161)) % 1.02/1.21 (step @p541 :rule symm :premises (@p528)) % 1.02/1.21 (step @p542 :rule symm :premises (@p527)) % 1.02/1.21 (step @p543 :rule symm :premises (@p525)) % 1.02/1.21 (step @p544 :rule symm :premises (@p508)) % 1.02/1.21 (step @p545 :rule trans :premises (@p428 @p131 @p544 @p543 @p542 @p505 @p502 @p501 @p541 @p540 @p539)) % 1.02/1.21 (step @p546 :rule cong :premises (@p88 @p119) :args (@t55)) % 1.02/1.21 (step @p547 :rule cong :premises (@p546 @p545) :args (@t111)) % 1.02/1.21 (step @p548 :rule trans :premises (@p547 @p533 @p532 @p161 @p528 @p510 @p126 @p509 @p527 @p525 @p508 @p500 @p499)) % 1.02/1.21 (step @p549 :rule cong :premises (@p208 @p548) :args (@t112)) % 1.02/1.21 (step @p550 :rule trans :premises (@p45 @p46 @p382 @p284 @p145 @p283 @p282 @p109 @p159 @p549)) % 1.02/1.21 (step @p551 :rule trans :premises (@p550 @p498)) % 1.02/1.21 (step @p552 :rule cong :premises (@p551 @p479) :args (@t40)) % 1.02/1.21 (step @p553 :rule trans :premises (@p552 @p167 @p495 @p492 @p489)) % 1.02/1.21 (step-pop @p678 :rule scope :premises (@p553)) % 1.02/1.21 (step-pop @p679 :rule scope :premises (@p678)) % 1.02/1.21 (step-pop @p680 :rule scope :premises (@p679)) % 1.02/1.21 (step-pop @p681 :rule scope :premises (@p680)) % 1.02/1.21 (step-pop @p682 :rule scope :premises (@p681)) % 1.02/1.21 (step-pop @p683 :rule scope :premises (@p682)) % 1.02/1.21 (step-pop @p684 :rule scope :premises (@p683)) % 1.02/1.21 (step-pop @p685 :rule scope :premises (@p684)) % 1.02/1.21 (step-pop @p686 :rule scope :premises (@p685)) % 1.02/1.21 (step-pop @p687 :rule scope :premises (@p686)) % 1.02/1.21 (step-pop @p688 :rule scope :premises (@p687)) % 1.02/1.21 (step-pop @p689 :rule scope :premises (@p688)) % 1.02/1.21 (step-pop @p690 :rule scope :premises (@p689)) % 1.02/1.21 (step-pop @p691 :rule scope :premises (@p690)) % 1.02/1.21 (step-pop @p692 :rule scope :premises (@p691)) % 1.02/1.21 (step-pop @p693 :rule scope :premises (@p692)) % 1.02/1.21 (step-pop @p694 :rule scope :premises (@p693)) % 1.02/1.21 (step-pop @p695 :rule scope :premises (@p694)) % 1.02/1.21 (step-pop @p696 :rule scope :premises (@p695)) % 1.02/1.21 (step-pop @p697 :rule scope :premises (@p696)) % 1.02/1.21 (step-pop @p698 :rule scope :premises (@p697)) % 1.02/1.21 (step-pop @p699 :rule scope :premises (@p698)) % 1.02/1.21 (step-pop @p700 :rule scope :premises (@p699)) % 1.02/1.21 (step-pop @p701 :rule scope :premises (@p700)) % 1.02/1.21 (step-pop @p702 :rule scope :premises (@p701)) % 1.02/1.21 (step-pop @p703 :rule scope :premises (@p702)) % 1.02/1.21 (step-pop @p704 :rule scope :premises (@p703)) % 1.02/1.21 (step-pop @p705 :rule scope :premises (@p704)) % 1.02/1.21 (step-pop @p706 :rule scope :premises (@p705)) % 1.02/1.21 (step-pop @p707 :rule scope :premises (@p706)) % 1.02/1.21 (step-pop @p708 :rule scope :premises (@p707)) % 1.02/1.21 (step-pop @p709 :rule scope :premises (@p708)) % 1.02/1.21 (step-pop @p710 :rule scope :premises (@p709)) % 1.02/1.21 (step-pop @p711 :rule scope :premises (@p710)) % 1.02/1.21 (step-pop @p712 :rule scope :premises (@p711)) % 1.02/1.21 (step-pop @p713 :rule scope :premises (@p712)) % 1.02/1.21 (step-pop @p714 :rule scope :premises (@p713)) % 1.02/1.21 (step-pop @p715 :rule scope :premises (@p714)) % 1.02/1.21 (step-pop @p716 :rule scope :premises (@p715)) % 1.02/1.21 (step-pop @p717 :rule scope :premises (@p716)) % 1.02/1.21 (step-pop @p718 :rule scope :premises (@p717)) % 1.02/1.21 (step-pop @p719 :rule scope :premises (@p718)) % 1.02/1.21 (step-pop @p720 :rule scope :premises (@p719)) % 1.02/1.21 (step-pop @p721 :rule scope :premises (@p720)) % 1.02/1.21 (step-pop @p722 :rule scope :premises (@p721)) % 1.02/1.21 (step-pop @p723 :rule scope :premises (@p722)) % 1.02/1.21 (step-pop @p724 :rule scope :premises (@p723)) % 1.02/1.21 (step-pop @p725 :rule scope :premises (@p724)) % 1.02/1.21 (step-pop @p726 :rule scope :premises (@p725)) % 1.02/1.21 (step-pop @p727 :rule scope :premises (@p726)) % 1.02/1.21 (step @p554 :rule process_scope :premises (@p727) :args (@t254)) % 1.02/1.21 (step @p605 :rule implies_elim :premises (@p554)) % 1.02/1.21 (step @p606 :rule cnf_and_neg :args (@t255)) % 1.02/1.21 (step @p607 :rule resolution :premises (@p606 @p605) :args (true @t255)) % 1.02/1.21 (step @p608 :rule reordering :premises (@p607) :args ((or @t254 (not @t46) (not @t198) (not @t51) (not @t59) (not @t199) (not @t66) (not @t200) (not @t73) (not @t201) (not @t202) (not @t203) (not @t205) (not @t206) (not @t207) (not @t82) (not @t159) (not @t88) (not @t208) (not @t209) (not @t210) (not @t212) (not @t213) (not @t214) (not @t215) (not @t216) (not @t219) (not @t220) (not @t221) (not @t222) (not @t223) (not @t224) (not @t228) (not @t231) (not @t232) (not @t235) (not @t238) (not @t241) (not @t242) (not @t243) (not @t244) (not @t245) (not @t104) (not @t110) (not @t115) (not @t247) (not @t250) (not @t252) (not @t124) (not @t135) (not @t196)))) % 1.02/1.21 (step @p609 false :rule chain_m_resolution :premises (@p608 @p428 @p298 @p203 @p172 @p162 @p161 @p160 @p159 @p150 @p141 @p132 @p131 @p130 @p129 @p128 @p127 @p126 @p125 @p124 @p123 @p122 @p121 @p120 @p119 @p118 @p117 @p116 @p115 @p114 @p113 @p112 @p111 @p110 @p109 @p108 @p98 @p81 @p80 @p79 @p78 @p74 @p70 @p66 @p57 @p56 @p46 @p45 @p40 @p30 @p29 @p19) :args (false (@list 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 false false true) (@list @t196 @t159 @t135 @t124 @t252 @t250 @t247 @t115 @t110 @t104 @t245 @t244 @t243 @t242 @t241 @t238 @t235 @t232 @t231 @t228 @t224 @t223 @t222 @t221 @t220 @t219 @t216 @t215 @t214 @t213 @t212 @t210 @t209 @t208 @t88 @t82 @t207 @t206 @t205 @t203 @t202 @t201 @t73 @t200 @t66 @t199 @t59 @t51 @t198 @t46 @t254))) % 1.02/1.21 ) % 1.02/1.21 % SZS output end Proof % 1.02/1.22 % cvc5 exiting %------------------------------------------------------------------------------