%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE143+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 : n023.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 08:28:22 AM UTC 2026 % Result : Theorem 5.33s 5.59s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE143+1 : 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 : n023.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 05:20:58 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 5.33/5.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 5.33/5.59 % SZS status Theorem % 5.33/5.59 % SZS output start Proof % 5.33/5.59 ( % 5.33/5.59 (declare-sort $$unsorted 0) % 5.33/5.59 (declare-const tptp.strong_iteration (-> $$unsorted $$unsorted)) % 5.33/5.59 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 5.33/5.59 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 5.33/5.59 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 5.33/5.59 (declare-const tptp.zero $$unsorted) % 5.33/5.59 (declare-const tptp.one $$unsorted) % 5.33/5.59 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 5.33/5.59 (define @t1 () (@var "A" $$unsorted)) % 5.33/5.59 (define @t2 () (@var "B" $$unsorted)) % 5.33/5.59 (define @t3 () (tptp.addition @t1 @t2)) % 5.33/5.59 (define @t4 () (@list @t1 @t2)) % 5.33/5.59 (define @t5 () (@var "C" $$unsorted)) % 5.33/5.59 (define @t6 () (tptp.addition @t2 @t5)) % 5.33/5.59 (define @t7 () (tptp.addition @t1 tptp.zero)) % 5.33/5.59 (define @t8 () (@list @t1)) % 5.33/5.59 (define @t9 () (forall @t8 (= @t7 @t1))) % 5.33/5.59 (define @t10 () (tptp.addition @t1 @t1)) % 5.33/5.59 (define @t11 () (forall @t8 (= @t10 @t1))) % 5.33/5.59 (define @t12 () (tptp.multiplication @t1 @t2)) % 5.33/5.59 (define @t13 () (tptp.multiplication @t2 @t5)) % 5.33/5.59 (define @t14 () (@list @t1 @t2 @t5)) % 5.33/5.59 (define @t15 () (forall @t14 (= (tptp.multiplication @t1 @t13) (tptp.multiplication @t12 @t5)))) % 5.33/5.59 (define @t16 () (tptp.multiplication @t1 tptp.one)) % 5.33/5.59 (define @t17 () (forall @t8 (= @t16 @t1))) % 5.33/5.59 (define @t18 () (tptp.multiplication tptp.one @t1)) % 5.33/5.59 (define @t19 () (forall @t8 (= @t18 @t1))) % 5.33/5.59 (define @t20 () (tptp.multiplication @t1 @t5)) % 5.33/5.59 (define @t21 () (tptp.multiplication tptp.zero @t1)) % 5.33/5.59 (define @t22 () (forall @t8 (= @t21 tptp.zero))) % 5.33/5.59 (define @t23 () (tptp.star @t1)) % 5.33/5.59 (define @t24 () (tptp.addition tptp.one (tptp.multiplication @t1 @t23))) % 5.33/5.59 (define @t25 () (forall @t8 (= @t24 @t23))) % 5.33/5.59 (define @t26 () (tptp.addition tptp.one (tptp.multiplication @t23 @t1))) % 5.33/5.59 (define @t27 () (forall @t8 (= @t26 @t23))) % 5.33/5.59 (define @t28 () (tptp.leq (tptp.multiplication @t23 @t2) @t5)) % 5.33/5.59 (define @t29 () (tptp.addition @t20 @t2)) % 5.33/5.59 (define @t30 () (tptp.leq @t29 @t5)) % 5.33/5.59 (define @t31 () (forall @t14 (=> @t30 @t28))) % 5.33/5.59 (define @t32 () (tptp.strong_iteration @t1)) % 5.33/5.59 (define @t33 () (tptp.leq @t1 @t2)) % 5.33/5.59 (define @t34 () (= @t33 (= @t3 @t2))) % 5.33/5.59 (define @t35 () (forall @t4 @t34)) % 5.33/5.59 (define @t36 () (@var "X0" $$unsorted)) % 5.33/5.59 (define @t37 () (tptp.strong_iteration @t36)) % 5.33/5.59 (define @t38 () (tptp.multiplication @t37 @t37)) % 5.33/5.59 (define @t39 () (@list @t36)) % 5.33/5.59 (define @t40 () (forall @t39 (= @t38 @t37))) % 5.33/5.59 (define @t41 () (not @t40)) % 5.33/5.59 (define @t42 () (@quantifiers_skolemize (forall @t39 (= @t37 @t38)) 0)) % 5.33/5.59 (define @t43 () (@list @t42)) % 5.33/5.59 (define @t44 () (tptp.strong_iteration @t42)) % 5.33/5.59 (define @t45 () (tptp.multiplication @t42 @t44)) % 5.33/5.59 (define @t46 () (tptp.multiplication @t44 tptp.zero)) % 5.33/5.59 (define @t47 () (tptp.star @t42)) % 5.33/5.59 (define @t48 () (tptp.multiplication @t42 @t46)) % 5.33/5.59 (define @t49 () (tptp.multiplication @t42 @t47)) % 5.33/5.59 (define @t50 () (tptp.multiplication tptp.zero @t44)) % 5.33/5.59 (define @t51 () (tptp.multiplication @t44 @t50)) % 5.33/5.59 (define @t52 () (tptp.multiplication @t46 @t44)) % 5.33/5.59 (define @t53 () (= @t51 @t52)) % 5.33/5.59 (define @t54 () (@list @t44 tptp.zero @t44)) % 5.33/5.59 (define @t55 () (= @t52 @t51)) % 5.33/5.59 (define @t56 () (@list false)) % 5.33/5.59 (define @t57 () (@list @t15)) % 5.33/5.59 (define @t58 () (@list @t44)) % 5.33/5.59 (define @t59 () (tptp.multiplication @t47 @t42)) % 5.33/5.59 (define @t60 () (tptp.multiplication @t46 tptp.one)) % 5.33/5.59 (define @t61 () (tptp.multiplication @t47 tptp.one)) % 5.33/5.59 (define @t62 () (tptp.multiplication @t44 tptp.one)) % 5.33/5.59 (define @t63 () (tptp.multiplication @t42 tptp.one)) % 5.33/5.59 (define @t64 () (tptp.multiplication @t47 @t63)) % 5.33/5.59 (define @t65 () (tptp.multiplication @t59 tptp.one)) % 5.33/5.59 (define @t66 () (= @t64 @t65)) % 5.33/5.59 (define @t67 () (@list @t47 @t42 tptp.one)) % 5.33/5.59 (define @t68 () (= @t65 @t64)) % 5.33/5.59 (define @t69 () (@list tptp.one)) % 5.33/5.59 (define @t70 () (tptp.multiplication @t59 @t42)) % 5.33/5.59 (define @t71 () (tptp.multiplication tptp.one @t42)) % 5.33/5.59 (define @t72 () (@list tptp.zero)) % 5.33/5.59 (define @t73 () (tptp.addition @t45 tptp.one)) % 5.33/5.59 (define @t74 () (tptp.addition @t62 @t62)) % 5.33/5.59 (define @t75 () (tptp.addition @t73 @t44)) % 5.33/5.59 (define @t76 () (= @t44 @t75)) % 5.33/5.59 (define @t77 () (tptp.leq @t73 @t44)) % 5.33/5.59 (define @t78 () (= @t77 @t76)) % 5.33/5.59 (define @t79 () (@list false false)) % 5.33/5.59 (define @t80 () (tptp.leq @t61 @t44)) % 5.33/5.59 (define @t81 () (not @t77)) % 5.33/5.59 (define @t82 () (or @t81 @t80)) % 5.33/5.59 (define @t83 () (tptp.addition @t61 @t44)) % 5.33/5.59 (define @t84 () (= @t44 @t83)) % 5.33/5.59 (define @t85 () (= @t80 @t84)) % 5.33/5.59 (define @t86 () (tptp.star tptp.zero)) % 5.33/5.59 (define @t87 () (@list @t86)) % 5.33/5.59 (define @t88 () (tptp.multiplication @t44 @t71)) % 5.33/5.59 (define @t89 () (tptp.multiplication @t49 @t86)) % 5.33/5.59 (define @t90 () (tptp.multiplication @t42 @t52)) % 5.33/5.59 (define @t91 () (tptp.multiplication @t48 tptp.one)) % 5.33/5.59 (define @t92 () (tptp.multiplication tptp.one @t44)) % 5.33/5.59 (define @t93 () (tptp.multiplication @t59 @t44)) % 5.33/5.59 (define @t94 () (tptp.addition @t47 @t46)) % 5.33/5.59 (define @t95 () (tptp.multiplication @t47 @t44)) % 5.33/5.59 (define @t96 () (tptp.addition tptp.one @t59)) % 5.33/5.59 (define @t97 () (tptp.addition @t92 @t93)) % 5.33/5.59 (define @t98 () (tptp.multiplication @t65 @t44)) % 5.33/5.59 (define @t99 () (tptp.addition @t46 @t47)) % 5.33/5.59 (define @t100 () (tptp.multiplication @t99 tptp.one)) % 5.33/5.59 (define @t101 () (tptp.addition @t60 @t61)) % 5.33/5.59 (define @t102 () (tptp.multiplication @t101 @t50)) % 5.33/5.59 (define @t103 () (tptp.multiplication @t62 tptp.zero)) % 5.33/5.59 (define @t104 () (tptp.addition @t46 @t44)) % 5.33/5.59 (define @t105 () (tptp.addition @t61 @t62)) % 5.33/5.59 (define @t106 () (tptp.addition @t60 @t105)) % 5.33/5.59 (define @t107 () (tptp.multiplication tptp.one tptp.one)) % 5.33/5.59 (define @t108 () (tptp.multiplication @t107 @t44)) % 5.33/5.59 (define @t109 () (= @t92 (tptp.addition @t93 @t92))) % 5.33/5.59 (define @t110 () (tptp.leq @t93 @t92)) % 5.33/5.59 (define @t111 () (= @t110 @t109)) % 5.33/5.59 (define @t112 () (not @t110)) % 5.33/5.59 (define @t113 () (@list true false)) % 5.33/5.59 (define @t114 () (tptp.leq (tptp.multiplication @t47 @t45) @t92)) % 5.33/5.59 (define @t115 () (tptp.leq (tptp.addition (tptp.multiplication @t42 @t92) @t45) @t92)) % 5.33/5.59 (define @t116 () (not @t115)) % 5.33/5.59 (define @t117 () (or @t116 @t114)) % 5.33/5.59 (define @t118 () (tptp.addition @t88 @t65)) % 5.33/5.59 (define @t119 () (tptp.multiplication @t42 @t94)) % 5.33/5.59 (define @t120 () (tptp.addition @t49 @t48)) % 5.33/5.59 (define @t121 () (tptp.addition tptp.one @t120)) % 5.33/5.59 (define @t122 () (tptp.addition @t48 @t49)) % 5.33/5.59 (define @t123 () (tptp.multiplication @t122 tptp.zero)) % 5.33/5.59 (define @t124 () (tptp.multiplication tptp.zero @t42)) % 5.33/5.59 (define @t125 () (tptp.multiplication @t45 @t124)) % 5.33/5.59 (define @t126 () (tptp.multiplication @t48 @t42)) % 5.33/5.59 (define @t127 () (tptp.multiplication @t48 @t63)) % 5.33/5.59 (define @t128 () (tptp.addition @t47 @t91)) % 5.33/5.59 (define @t129 () (tptp.multiplication @t128 @t42)) % 5.33/5.59 (define @t130 () (tptp.addition tptp.one @t49)) % 5.33/5.59 (define @t131 () (tptp.multiplication @t130 @t42)) % 5.33/5.59 (define @t132 () (tptp.multiplication @t42 @t59)) % 5.33/5.59 (define @t133 () (tptp.addition @t63 @t132)) % 5.33/5.59 (define @t134 () (tptp.addition @t49 @t45)) % 5.33/5.59 (define @t135 () (tptp.addition @t101 @t62)) % 5.33/5.59 (define @t136 () (tptp.addition @t52 @t44)) % 5.33/5.59 (define @t137 () (tptp.multiplication @t42 @t136)) % 5.33/5.59 (define @t138 () (tptp.multiplication @t96 @t42)) % 5.33/5.59 (define @t139 () (tptp.addition @t71 @t70)) % 5.33/5.59 (define @t140 () (tptp.multiplication @t139 tptp.one)) % 5.33/5.59 (define @t141 () (tptp.addition (tptp.multiplication @t71 tptp.one) (tptp.multiplication @t70 tptp.one))) % 5.33/5.59 (define @t142 () (tptp.multiplication tptp.zero @t86)) % 5.33/5.59 (define @t143 () (tptp.addition tptp.one @t142)) % 5.33/5.59 (define @t144 () (tptp.multiplication tptp.one @t86)) % 5.33/5.59 (define @t145 () (tptp.multiplication @t49 @t144)) % 5.33/5.59 (define @t146 () (tptp.addition @t90 @t45)) % 5.33/5.59 (define @t147 () (tptp.addition @t89 @t146)) % 5.33/5.59 (define @t148 () (tptp.multiplication @t45 tptp.zero)) % 5.33/5.59 (define @t149 () (tptp.addition @t148 @t49)) % 5.33/5.59 (define @t150 () (tptp.addition @t149 @t45)) % 5.33/5.59 (define @t151 () (tptp.addition @t45 @t45)) % 5.33/5.59 (define @t152 () (tptp.multiplication @t71 @t44)) % 5.33/5.59 (define @t153 () (tptp.multiplication @t46 tptp.zero)) % 5.33/5.59 (define @t154 () (tptp.multiplication @t47 tptp.zero)) % 5.33/5.59 (define @t155 () (tptp.multiplication tptp.zero tptp.zero)) % 5.33/5.59 (define @t156 () (tptp.multiplication @t44 @t155)) % 5.33/5.59 (define @t157 () (tptp.multiplication @t42 @t153)) % 5.33/5.59 (define @t158 () (tptp.addition @t157 @t49)) % 5.33/5.59 (define @t159 () (tptp.multiplication @t158 tptp.zero)) % 5.33/5.59 (define @t160 () (tptp.multiplication @t59 tptp.zero)) % 5.33/5.59 (define @t161 () (tptp.multiplication tptp.one tptp.zero)) % 5.33/5.59 (define @t162 () (tptp.addition @t161 @t160)) % 5.33/5.59 (define @t163 () (tptp.multiplication @t47 @t155)) % 5.33/5.59 (define @t164 () (tptp.multiplication @t154 tptp.zero)) % 5.33/5.59 (define @t165 () (= @t163 @t164)) % 5.33/5.59 (define @t166 () (tptp.multiplication @t42 @t154)) % 5.33/5.59 (define @t167 () (tptp.multiplication tptp.zero @t60)) % 5.33/5.59 (define @t168 () (tptp.multiplication @t65 tptp.zero)) % 5.33/5.59 (define @t169 () (tptp.multiplication @t70 tptp.zero)) % 5.33/5.59 (define @t170 () (tptp.multiplication @t42 tptp.zero)) % 5.33/5.59 (define @t171 () (tptp.multiplication @t71 tptp.zero)) % 5.33/5.59 (define @t172 () (tptp.addition @t161 @t171)) % 5.33/5.59 (define @t173 () (tptp.multiplication @t107 tptp.zero)) % 5.33/5.59 (define @t174 () (tptp.multiplication @t47 @t50)) % 5.33/5.59 (define @t175 () (tptp.multiplication @t154 @t44)) % 5.33/5.59 (define @t176 () (= @t174 @t175)) % 5.33/5.59 (define @t177 () (@list @t47 tptp.zero @t44)) % 5.33/5.59 (define @t178 () (tptp.multiplication @t160 tptp.zero)) % 5.33/5.59 (define @t179 () (tptp.addition @t45 @t49)) % 5.33/5.59 (define @t180 () (tptp.addition tptp.one @t160)) % 5.33/5.59 (define @t181 () (tptp.multiplication @t45 tptp.one)) % 5.33/5.59 (define @t182 () (tptp.addition tptp.one @t166)) % 5.33/5.59 (define @t183 () (tptp.addition tptp.one @t45)) % 5.33/5.59 (define @t184 () (tptp.addition @t59 @t52)) % 5.33/5.59 (define @t185 () (tptp.addition @t44 @t49)) % 5.33/5.59 (define @t186 () (tptp.addition tptp.one tptp.one)) % 5.33/5.59 (define @t187 () (tptp.addition @t61 @t48)) % 5.33/5.59 (define @t188 () (tptp.multiplication @t186 @t86)) % 5.33/5.59 (define @t189 () (= @t156 @t153)) % 5.33/5.59 (define @t190 () (tptp.multiplication @t44 @t86)) % 5.33/5.59 (define @t191 () (tptp.addition @t107 @t190)) % 5.33/5.59 (define @t192 () (tptp.addition @t65 @t44)) % 5.33/5.59 (define @t193 () (= @t44 (tptp.addition @t118 @t44))) % 5.33/5.59 (define @t194 () (tptp.leq @t118 @t44)) % 5.33/5.59 (define @t195 () (= @t194 @t193)) % 5.33/5.59 (define @t196 () (not @t194)) % 5.33/5.59 (define @t197 () (tptp.multiplication @t91 @t42)) % 5.33/5.59 (define @t198 () (tptp.addition @t59 @t197)) % 5.33/5.59 (define @t199 () (= @t129 @t198)) % 5.33/5.59 (define @t200 () (not @t199)) % 5.33/5.59 (define @t201 () (= @t127 (tptp.multiplication @t126 tptp.one))) % 5.33/5.59 (define @t202 () (not @t201)) % 5.33/5.59 (define @t203 () (= @t45 @t151)) % 5.33/5.59 (define @t204 () (not @t203)) % 5.33/5.59 (define @t205 () (tptp.addition @t89 @t90)) % 5.33/5.59 (define @t206 () (tptp.addition @t205 @t45)) % 5.33/5.59 (define @t207 () (= @t147 @t206)) % 5.33/5.59 (define @t208 () (not @t207)) % 5.33/5.59 (define @t209 () (tptp.addition @t65 @t88)) % 5.33/5.59 (define @t210 () (= @t118 @t209)) % 5.33/5.59 (define @t211 () (not @t210)) % 5.33/5.59 (define @t212 () (= tptp.zero @t124)) % 5.33/5.59 (define @t213 () (not @t212)) % 5.33/5.59 (define @t214 () (= tptp.zero @t142)) % 5.33/5.59 (define @t215 () (not @t214)) % 5.33/5.59 (define @t216 () (tptp.multiplication @t49 @t42)) % 5.33/5.59 (define @t217 () (= @t131 (tptp.addition @t71 @t216))) % 5.33/5.59 (define @t218 () (not @t217)) % 5.33/5.59 (define @t219 () (= @t137 @t146)) % 5.33/5.59 (define @t220 () (not @t219)) % 5.33/5.59 (define @t221 () (= @t86 @t144)) % 5.33/5.59 (define @t222 () (not @t221)) % 5.33/5.59 (define @t223 () (= @t59 (tptp.multiplication tptp.one @t59))) % 5.33/5.59 (define @t224 () (not @t223)) % 5.33/5.59 (define @t225 () (tptp.multiplication @t49 tptp.one)) % 5.33/5.59 (define @t226 () (= @t145 (tptp.multiplication @t225 @t86))) % 5.33/5.59 (define @t227 () (not @t226)) % 5.33/5.59 (define @t228 () (= @t125 (tptp.multiplication @t148 @t42))) % 5.33/5.59 (define @t229 () (not @t228)) % 5.33/5.59 (define @t230 () (tptp.multiplication (tptp.multiplication @t44 @t42) tptp.one)) % 5.33/5.59 (define @t231 () (tptp.multiplication @t44 @t63)) % 5.33/5.59 (define @t232 () (= @t231 @t230)) % 5.33/5.59 (define @t233 () (not @t232)) % 5.33/5.59 (define @t234 () (tptp.multiplication @t48 @t71)) % 5.33/5.59 (define @t235 () (= @t234 @t197)) % 5.33/5.59 (define @t236 () (not @t235)) % 5.33/5.59 (define @t237 () (= tptp.one (tptp.addition tptp.one tptp.zero))) % 5.33/5.59 (define @t238 () (not @t237)) % 5.33/5.59 (define @t239 () (= @t86 @t143)) % 5.33/5.59 (define @t240 () (not @t239)) % 5.33/5.59 (define @t241 () (= tptp.zero @t50)) % 5.33/5.59 (define @t242 () (not @t241)) % 5.33/5.59 (define @t243 () (= @t140 @t141)) % 5.33/5.59 (define @t244 () (not @t243)) % 5.33/5.59 (define @t245 () (= @t44 @t92)) % 5.33/5.59 (define @t246 () (not @t245)) % 5.33/5.59 (define @t247 () (= @t42 @t71)) % 5.33/5.59 (define @t248 () (not @t247)) % 5.33/5.59 (define @t249 () (= @t46 @t60)) % 5.33/5.59 (define @t250 () (not @t249)) % 5.33/5.59 (define @t251 () (= @t42 @t63)) % 5.33/5.59 (define @t252 () (not @t251)) % 5.33/5.59 (define @t253 () (= tptp.one @t107)) % 5.33/5.59 (define @t254 () (not @t253)) % 5.33/5.59 (define @t255 () (not @t68)) % 5.33/5.59 (define @t256 () (= @t132 @t216)) % 5.33/5.59 (define @t257 () (not @t256)) % 5.33/5.59 (define @t258 () (= (tptp.multiplication @t42 @t61) @t225)) % 5.33/5.59 (define @t259 () (not @t258)) % 5.33/5.59 (define @t260 () (= @t62 @t74)) % 5.33/5.59 (define @t261 () (not @t260)) % 5.33/5.59 (define @t262 () (= @t106 @t135)) % 5.33/5.59 (define @t263 () (not @t262)) % 5.33/5.59 (define @t264 () (not @t84)) % 5.33/5.59 (define @t265 () (= @t100 @t101)) % 5.33/5.59 (define @t266 () (not @t265)) % 5.33/5.59 (define @t267 () (= @t138 @t139)) % 5.33/5.59 (define @t268 () (not @t267)) % 5.33/5.59 (define @t269 () (= (tptp.multiplication @t42 @t96) @t133)) % 5.33/5.59 (define @t270 () (not @t269)) % 5.33/5.59 (define @t271 () (= @t47 @t61)) % 5.33/5.59 (define @t272 () (not @t271)) % 5.33/5.59 (define @t273 () (= @t44 @t62)) % 5.33/5.59 (define @t274 () (not @t273)) % 5.33/5.59 (define @t275 () (not @t55)) % 5.33/5.59 (define @t276 () (= @t48 @t148)) % 5.33/5.59 (define @t277 () (not @t276)) % 5.33/5.59 (define @t278 () (tptp.addition @t130 @t48)) % 5.33/5.59 (define @t279 () (= @t121 @t278)) % 5.33/5.59 (define @t280 () (not @t279)) % 5.33/5.59 (define @t281 () (= @t120 @t122)) % 5.33/5.59 (define @t282 () (not @t281)) % 5.33/5.59 (define @t283 () (= @t47 @t96)) % 5.33/5.59 (define @t284 () (not @t283)) % 5.33/5.59 (define @t285 () (= @t47 @t130)) % 5.33/5.59 (define @t286 () (not @t285)) % 5.33/5.59 (define @t287 () (= @t119 @t120)) % 5.33/5.59 (define @t288 () (not @t287)) % 5.33/5.59 (define @t289 () (= @t94 @t99)) % 5.33/5.59 (define @t290 () (not @t289)) % 5.33/5.59 (define @t291 () (= @t73 @t183)) % 5.33/5.59 (define @t292 () (not @t291)) % 5.33/5.59 (define @t293 () (= @t44 @t94)) % 5.33/5.59 (define @t294 () (not @t293)) % 5.33/5.59 (define @t295 () (= @t44 @t73)) % 5.33/5.59 (define @t296 () (not @t295)) % 5.33/5.59 (define @t297 () (and @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t276 @t55 @t273 @t271 @t269 @t267 @t265 @t84 @t262 @t260 @t258 @t256 @t68 @t253 @t251 @t249 @t247 @t245 @t243 @t241 @t239 @t237 @t235 @t232 @t228 @t226 @t223 @t221 @t219 @t217 @t214 @t212 @t210 @t207 @t203 @t201 @t199 @t116)) % 5.33/5.59 (assume @p1 (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 5.33/5.59 (assume @p2 (forall (@list @t5 @t2 @t1) (= (tptp.addition @t1 @t6) (tptp.addition @t3 @t5)))) % 5.33/5.59 (assume @p3 @t9) % 5.33/5.59 (assume @p4 @t11) % 5.33/5.59 (assume @p5 @t15) % 5.33/5.59 (assume @p6 @t17) % 5.33/5.59 (assume @p7 @t19) % 5.33/5.59 (assume @p8 (forall @t14 (= (tptp.multiplication @t1 @t6) (tptp.addition @t12 @t20)))) % 5.33/5.59 (assume @p9 (forall @t14 (= (tptp.multiplication @t3 @t5) (tptp.addition @t20 @t13)))) % 5.33/5.59 (assume @p10 @t22) % 5.33/5.59 (assume @p11 @t25) % 5.33/5.59 (assume @p12 @t27) % 5.33/5.59 (assume @p13 @t31) % 5.33/5.59 (assume @p14 (forall @t14 (=> (tptp.leq (tptp.addition (tptp.multiplication @t5 @t1) @t2) @t5) (tptp.leq (tptp.multiplication @t2 @t23) @t5)))) % 5.33/5.59 (assume @p15 (forall @t8 (= @t32 (tptp.addition (tptp.multiplication @t1 @t32) tptp.one)))) % 5.33/5.59 (assume @p16 (forall @t14 (=> (tptp.leq @t5 @t29) (tptp.leq @t5 (tptp.multiplication @t32 @t2))))) % 5.33/5.59 (assume @p17 (forall @t8 (= @t32 (tptp.addition @t23 (tptp.multiplication @t32 tptp.zero))))) % 5.33/5.59 (assume @p18 @t35) % 5.33/5.59 (assume @p19 @t41) % 5.33/5.59 (assume @p20 true) % 5.33/5.59 (step @p21 :rule instantiate :premises (@p15) :args (@t43)) % 5.33/5.59 (step @p22 :rule instantiate :premises (@p17) :args (@t43)) % 5.33/5.59 (step @p23 :rule instantiate :premises (@p1) :args ((@list @t45 tptp.one))) % 5.33/5.59 (step @p24 :rule instantiate :premises (@p1) :args ((@list @t47 @t46))) % 5.33/5.59 (step @p25 :rule instantiate :premises (@p8) :args ((@list @t42 @t47 @t46))) % 5.33/5.59 (step @p26 :rule eq-symm :args (@t24 @t23)) % 5.33/5.59 (step @p27 :rule cong :premises (@p26) :args (@t25)) % 5.33/5.59 (step @p28 :rule eq_resolve :premises (@p11 @p27)) % 5.33/5.59 (step @p29 :rule instantiate :premises (@p28) :args (@t43)) % 5.33/5.59 (step @p30 :rule eq-symm :args (@t26 @t23)) % 5.33/5.59 (step @p31 :rule cong :premises (@p30) :args (@t27)) % 5.33/5.59 (step @p32 :rule eq_resolve :premises (@p12 @p31)) % 5.33/5.59 (step @p33 :rule instantiate :premises (@p32) :args (@t43)) % 5.33/5.59 (step @p34 :rule instantiate :premises (@p1) :args ((@list @t49 @t48))) % 5.33/5.59 (step @p35 :rule instantiate :premises (@p2) :args ((@list @t48 @t49 tptp.one))) % 5.33/5.59 (step @p36 :rule instantiate :premises (@p5) :args ((@list @t42 @t44 tptp.zero))) % 5.33/5.59 (step @p37 :rule eq-symm :args (@t51 @t52)) % 5.33/5.59 (step @p38 :rule refl :args (@t15)) % 5.33/5.59 (step @p39 :rule cong :premises (@p38 @p37) :args ((=> @t15 @t53))) % 5.33/5.59 (assume-push @p794 @t15) % 5.33/5.59 (step @p41 :rule instantiate :premises (@p5) :args (@t54)) % 5.33/5.59 (step-pop @p795 :rule scope :premises (@p41)) % 5.33/5.59 (step @p42 :rule process_scope :premises (@p795) :args (@t53)) % 5.33/5.59 (step @p44 :rule eq_resolve :premises (@p42 @p39)) % 5.33/5.59 (step @p45 :rule implies_elim :premises (@p44)) % 5.33/5.59 (step @p46 :rule chain_m_resolution :premises (@p45 @p5) :args (@t55 @t56 @t57)) % 5.33/5.59 (step @p47 :rule eq-symm :args (@t16 @t1)) % 5.33/5.59 (step @p48 :rule cong :premises (@p47) :args (@t17)) % 5.33/5.59 (step @p49 :rule eq_resolve :premises (@p6 @p48)) % 5.33/5.59 (step @p50 :rule instantiate :premises (@p49) :args (@t58)) % 5.33/5.59 (step @p51 :rule instantiate :premises (@p49) :args ((@list @t47))) % 5.33/5.59 (step @p52 :rule instantiate :premises (@p8) :args ((@list @t42 tptp.one @t59))) % 5.33/5.59 (step @p53 :rule instantiate :premises (@p9) :args ((@list tptp.one @t59 @t42))) % 5.33/5.59 (step @p54 :rule instantiate :premises (@p9) :args ((@list @t46 @t47 tptp.one))) % 5.33/5.59 (step @p55 :rule instantiate :premises (@p2) :args ((@list @t62 @t61 @t60))) % 5.33/5.59 (step @p56 :rule eq-symm :args (@t10 @t1)) % 5.33/5.59 (step @p57 :rule cong :premises (@p56) :args (@t11)) % 5.33/5.59 (step @p58 :rule eq_resolve :premises (@p4 @p57)) % 5.33/5.59 (step @p59 :rule instantiate :premises (@p58) :args ((@list @t62))) % 5.33/5.59 (step @p60 :rule instantiate :premises (@p5) :args ((@list @t42 @t47 tptp.one))) % 5.33/5.59 (step @p61 :rule instantiate :premises (@p5) :args ((@list @t42 @t47 @t42))) % 5.33/5.59 (step @p62 :rule eq-symm :args (@t64 @t65)) % 5.33/5.59 (step @p63 :rule cong :premises (@p38 @p62) :args ((=> @t15 @t66))) % 5.33/5.59 (assume-push @p796 @t15) % 5.33/5.59 (step @p65 :rule instantiate :premises (@p5) :args (@t67)) % 5.33/5.59 (step-pop @p797 :rule scope :premises (@p65)) % 5.33/5.59 (step @p66 :rule process_scope :premises (@p797) :args (@t66)) % 5.33/5.59 (step @p68 :rule eq_resolve :premises (@p66 @p63)) % 5.33/5.59 (step @p69 :rule implies_elim :premises (@p68)) % 5.33/5.59 (step @p70 :rule chain_m_resolution :premises (@p69 @p5) :args (@t68 @t56 @t57)) % 5.33/5.59 (step @p71 :rule instantiate :premises (@p49) :args (@t69)) % 5.33/5.59 (step @p72 :rule instantiate :premises (@p49) :args (@t43)) % 5.33/5.59 (step @p73 :rule instantiate :premises (@p49) :args ((@list @t46))) % 5.33/5.59 (step @p74 :rule eq-symm :args (@t18 @t1)) % 5.33/5.59 (step @p75 :rule cong :premises (@p74) :args (@t19)) % 5.33/5.59 (step @p76 :rule eq_resolve :premises (@p7 @p75)) % 5.33/5.59 (step @p77 :rule instantiate :premises (@p76) :args (@t43)) % 5.33/5.59 (step @p78 :rule instantiate :premises (@p76) :args (@t58)) % 5.33/5.59 (step @p79 :rule instantiate :premises (@p9) :args ((@list @t71 @t70 tptp.one))) % 5.33/5.59 (step @p80 :rule eq-symm :args (@t21 tptp.zero)) % 5.33/5.59 (step @p81 :rule cong :premises (@p80) :args (@t22)) % 5.33/5.59 (step @p82 :rule eq_resolve :premises (@p10 @p81)) % 5.33/5.59 (step @p83 :rule instantiate :premises (@p82) :args (@t58)) % 5.33/5.59 (step @p84 :rule instantiate :premises (@p28) :args (@t72)) % 5.33/5.59 (step @p85 :rule eq-symm :args (@t3 @t2)) % 5.33/5.59 (step @p86 :rule refl :args (@t33)) % 5.33/5.59 (step @p87 :rule cong :premises (@p86 @p85) :args (@t34)) % 5.33/5.59 (step @p88 :rule cong :premises (@p87) :args (@t35)) % 5.33/5.59 (step @p89 :rule eq_resolve :premises (@p18 @p88)) % 5.33/5.59 (step @p90 :rule instantiate :premises (@p89) :args ((@list @t61 @t44))) % 5.33/5.59 (step @p91 :rule bool-impl-elim :args (@t30 @t28)) % 5.33/5.59 (step @p92 :rule cong :premises (@p91) :args (@t31)) % 5.33/5.59 (step @p93 :rule eq_resolve :premises (@p13 @p92)) % 5.33/5.59 (step @p94 :rule instantiate :premises (@p93) :args ((@list @t42 tptp.one @t44))) % 5.33/5.59 (step @p95 :rule instantiate :premises (@p89) :args ((@list @t73 @t44))) % 5.33/5.59 (step @p96 :rule symm :premises (@p50)) % 5.33/5.59 (step @p97 :rule trans :premises (@p96 @p21)) % 5.33/5.59 (step @p98 :rule cong :premises (@p97 @p96) :args (@t74)) % 5.33/5.59 (step @p99 :rule trans :premises (@p50 @p59 @p98)) % 5.33/5.59 (step @p100 :rule cnf_equiv_pos2 :args (@t78)) % 5.33/5.59 (step @p101 :rule reordering :premises (@p100) :args ((or @t77 (not @t76) (not @t78)))) % 5.33/5.59 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p95) :args (@t77 @t79 (@list @t76 @t78))) % 5.33/5.59 (step @p103 :rule cnf_or_pos :args (@t82)) % 5.33/5.59 (step @p104 :rule reordering :premises (@p103) :args ((or @t81 @t80 (not @t82)))) % 5.33/5.59 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p94) :args (@t80 @t79 (@list @t77 @t82))) % 5.33/5.59 (step @p106 :rule cnf_equiv_pos1 :args (@t85)) % 5.33/5.59 (step @p107 :rule reordering :premises (@p106) :args ((or (not @t80) @t84 (not @t85)))) % 5.33/5.59 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p90) :args (@t84 @t79 (@list @t80 @t85))) % 5.33/5.59 (step @p109 :rule eq-symm :args (@t7 @t1)) % 5.33/5.59 (step @p110 :rule cong :premises (@p109) :args (@t9)) % 5.33/5.59 (step @p111 :rule eq_resolve :premises (@p3 @p110)) % 5.33/5.59 (step @p112 :rule instantiate :premises (@p111) :args (@t69)) % 5.33/5.59 (step @p113 :rule instantiate :premises (@p5) :args ((@list @t48 tptp.one @t42))) % 5.33/5.59 (step @p114 :rule instantiate :premises (@p5) :args ((@list @t44 @t42 tptp.one))) % 5.33/5.59 (step @p115 :rule instantiate :premises (@p5) :args ((@list @t45 tptp.zero @t42))) % 5.33/5.59 (step @p116 :rule instantiate :premises (@p5) :args ((@list @t49 tptp.one @t86))) % 5.33/5.59 (step @p117 :rule instantiate :premises (@p76) :args ((@list @t59))) % 5.33/5.59 (step @p118 :rule instantiate :premises (@p76) :args (@t87)) % 5.33/5.59 (step @p119 :rule instantiate :premises (@p8) :args ((@list @t42 @t52 @t44))) % 5.33/5.59 (step @p120 :rule instantiate :premises (@p9) :args ((@list tptp.one @t49 @t42))) % 5.33/5.59 (step @p121 :rule instantiate :premises (@p82) :args (@t87)) % 5.33/5.59 (step @p122 :rule instantiate :premises (@p82) :args (@t43)) % 5.33/5.59 (step @p123 :rule instantiate :premises (@p1) :args ((@list @t88 @t65))) % 5.33/5.59 (step @p124 :rule instantiate :premises (@p2) :args ((@list @t45 @t90 @t89))) % 5.33/5.59 (step @p125 :rule instantiate :premises (@p58) :args ((@list @t45))) % 5.33/5.59 (step @p126 :rule instantiate :premises (@p5) :args ((@list @t48 @t42 tptp.one))) % 5.33/5.59 (step @p127 :rule instantiate :premises (@p9) :args ((@list @t47 @t91 @t42))) % 5.33/5.59 (step @p128 :rule instantiate :premises (@p93) :args ((@list @t42 @t45 @t92))) % 5.33/5.59 (step @p129 :rule instantiate :premises (@p89) :args ((@list @t93 @t92))) % 5.33/5.59 (step @p130 :rule eq-symm :args (@t38 @t37)) % 5.33/5.59 (step @p131 :rule cong :premises (@p130) :args (@t40)) % 5.33/5.59 (step @p132 :rule cong :premises (@p131) :args (@t41)) % 5.33/5.59 (step @p133 :rule eq_resolve :premises (@p19 @p132)) % 5.33/5.59 (step @p134 :rule skolemize :premises (@p133)) % 5.33/5.59 (step @p135 :rule false_intro :premises (@p134)) % 5.33/5.59 (step @p136 :rule refl :args (@t44)) % 5.33/5.59 (step @p137 :rule symm :premises (@p22)) % 5.33/5.59 (step @p138 :rule cong :premises (@p137 @p136) :args ((tptp.multiplication @t94 @t44))) % 5.33/5.59 (step @p139 :rule instantiate :premises (@p9) :args ((@list @t47 @t46 @t44))) % 5.33/5.59 (step @p140 :rule symm :premises (@p139)) % 5.33/5.59 (step @p141 :rule instantiate :premises (@p1) :args ((@list @t95 @t52))) % 5.33/5.59 (step @p142 :rule symm :premises (@p141)) % 5.33/5.59 (step @p143 :rule refl :args (@t95)) % 5.33/5.59 (step @p41 :rule instantiate :premises (@p5) :args (@t54)) % 5.33/5.59 (step @p144 :rule cong :premises (@p41 @p143) :args ((tptp.addition @t51 @t95))) % 5.33/5.59 (step @p145 :rule symm :premises (@p33)) % 5.33/5.59 (step @p146 :rule cong :premises (@p145 @p136) :args ((tptp.multiplication @t96 @t44))) % 5.33/5.59 (step @p147 :rule instantiate :premises (@p9) :args ((@list tptp.one @t59 @t44))) % 5.33/5.59 (step @p148 :rule symm :premises (@p147)) % 5.33/5.59 (step @p149 :rule trans :premises (@p148 @p146)) % 5.33/5.59 (step @p150 :rule cong :premises (@p46 @p149) :args ((tptp.addition @t52 @t97))) % 5.33/5.59 (step @p151 :rule instantiate :premises (@p2) :args ((@list @t93 @t92 @t52))) % 5.33/5.59 (step @p152 :rule symm :premises (@p151)) % 5.33/5.59 (step @p153 :rule refl :args (@t42)) % 5.33/5.59 (step @p154 :rule symm :premises (@p51)) 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% 5.33/5.59 (step @p592 :rule refl :args (@t107)) % 5.33/5.59 (step @p593 :rule cong :premises (@p592 @p591) :args ((tptp.addition @t107 @t192))) % 5.33/5.59 (step @p594 :rule instantiate :premises (@p2) :args ((@list @t44 @t65 @t107))) % 5.33/5.59 (step @p595 :rule symm :premises (@p594)) % 5.33/5.59 (step @p596 :rule instantiate :premises (@p9) :args ((@list tptp.one @t59 tptp.one))) % 5.33/5.59 (step @p597 :rule cong :premises (@p33 @p164) :args (@t61)) % 5.33/5.59 (step @p598 :rule trans :premises (@p51 @p597 @p596)) % 5.33/5.59 (step @p599 :rule trans :premises (@p154 @p598)) % 5.33/5.59 (step @p600 :rule cong :premises (@p599 @p136) :args (@t83)) % 5.33/5.59 (step @p601 :rule trans :premises (@p108 @p600 @p595 @p593 @p582 @p581 @p526 @p525 @p523 @p521 @p520 @p519 @p334 @p331 @p329)) % 5.33/5.59 (step @p602 :rule cnf_equiv_pos2 :args (@t195)) % 5.33/5.59 (step @p603 :rule reordering :premises (@p602) :args ((or @t194 (not @t193) (not @t195)))) % 5.33/5.59 (step @p604 :rule 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(@t238)) % 5.33/5.59 (step @p623 :rule refl :args (@t240)) % 5.33/5.59 (step @p624 :rule refl :args (@t242)) % 5.33/5.59 (step @p625 :rule refl :args (@t244)) % 5.33/5.59 (step @p626 :rule refl :args (@t246)) % 5.33/5.59 (step @p627 :rule refl :args (@t248)) % 5.33/5.59 (step @p628 :rule refl :args (@t250)) % 5.33/5.59 (step @p629 :rule refl :args (@t252)) % 5.33/5.59 (step @p630 :rule refl :args (@t254)) % 5.33/5.59 (step @p631 :rule refl :args (@t255)) % 5.33/5.59 (step @p632 :rule refl :args (@t257)) % 5.33/5.59 (step @p633 :rule refl :args (@t259)) % 5.33/5.59 (step @p634 :rule refl :args (@t261)) % 5.33/5.59 (step @p635 :rule refl :args (@t263)) % 5.33/5.59 (step @p636 :rule refl :args (@t264)) % 5.33/5.59 (step @p637 :rule refl :args (@t266)) % 5.33/5.59 (step @p638 :rule refl :args (@t268)) % 5.33/5.59 (step @p639 :rule refl :args (@t270)) % 5.33/5.59 (step @p640 :rule refl :args (@t272)) % 5.33/5.59 (step @p641 :rule refl :args (@t274)) % 5.33/5.59 (step @p642 :rule refl :args (@t275)) % 5.33/5.59 (step @p643 :rule refl :args (@t277)) % 5.33/5.59 (step @p644 :rule refl :args (@t280)) % 5.33/5.59 (step @p645 :rule refl :args (@t282)) % 5.33/5.59 (step @p646 :rule refl :args (@t284)) % 5.33/5.59 (step @p647 :rule refl :args (@t286)) % 5.33/5.59 (step @p648 :rule refl :args (@t288)) % 5.33/5.59 (step @p649 :rule refl :args (@t290)) % 5.33/5.59 (step @p650 :rule refl :args (@t292)) % 5.33/5.59 (step @p651 :rule refl :args (@t294)) % 5.33/5.59 (step @p652 :rule refl :args (@t296)) % 5.33/5.59 (step @p653 :rule nary_cong :premises (@p652 @p651 @p650 @p649 @p648 @p647 @p646 @p645 @p644 @p643 @p642 @p641 @p640 @p639 @p638 @p637 @p636 @p635 @p634 @p633 @p632 @p631 @p630 @p629 @p628 @p627 @p626 @p625 @p624 @p623 @p622 @p621 @p620 @p619 @p618 @p617 @p616 @p615 @p614 @p613 @p612 @p611 @p610 @p609 @p608 @p607 @p606 @p605) :args ((or @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t277 @t275 @t274 @t272 @t270 @t268 @t266 @t264 @t263 @t261 @t259 @t257 @t255 @t254 @t252 @t250 @t248 @t246 @t244 @t242 @t240 @t238 @t236 @t233 @t229 @t227 @t224 @t222 @t220 @t218 @t215 @t213 @t211 @t208 @t204 @t202 @t200 (not @t116) @t196))) % 5.33/5.59 (assume-push @p804 @t295) % 5.33/5.59 (assume-push @p805 @t293) % 5.33/5.59 (assume-push @p806 @t291) % 5.33/5.59 (assume-push @p807 @t289) % 5.33/5.59 (assume-push @p808 @t287) % 5.33/5.59 (assume-push @p809 @t285) % 5.33/5.59 (assume-push @p810 @t283) % 5.33/5.59 (assume-push @p811 @t281) % 5.33/5.59 (assume-push @p812 @t279) % 5.33/5.59 (assume-push @p813 @t276) % 5.33/5.59 (assume-push @p814 @t55) % 5.33/5.59 (assume-push @p815 @t273) % 5.33/5.59 (assume-push @p816 @t271) % 5.33/5.59 (assume-push @p817 @t269) % 5.33/5.59 (assume-push @p818 @t267) % 5.33/5.59 (assume-push @p819 @t265) % 5.33/5.59 (assume-push @p820 @t84) % 5.33/5.59 (assume-push @p821 @t262) % 5.33/5.59 (assume-push @p822 @t260) % 5.33/5.59 (assume-push @p823 @t258) % 5.33/5.59 (assume-push @p824 @t256) % 5.33/5.59 (assume-push @p825 @t68) % 5.33/5.59 (assume-push @p826 @t253) % 5.33/5.59 (assume-push @p827 @t251) % 5.33/5.59 (assume-push @p828 @t249) % 5.33/5.59 (assume-push @p829 @t247) % 5.33/5.59 (assume-push @p830 @t245) % 5.33/5.59 (assume-push @p831 @t243) % 5.33/5.59 (assume-push @p832 @t241) % 5.33/5.59 (assume-push @p833 @t239) % 5.33/5.59 (assume-push @p834 @t237) % 5.33/5.59 (assume-push @p835 @t235) % 5.33/5.59 (assume-push @p836 @t232) % 5.33/5.59 (assume-push @p837 @t228) % 5.33/5.59 (assume-push @p838 @t226) % 5.33/5.59 (assume-push @p839 @t223) % 5.33/5.59 (assume-push @p840 @t221) % 5.33/5.59 (assume-push @p841 @t219) % 5.33/5.59 (assume-push @p842 @t217) % 5.33/5.59 (assume-push @p843 @t214) % 5.33/5.59 (assume-push @p844 @t212) % 5.33/5.59 (assume-push @p845 @t210) % 5.33/5.59 (assume-push @p846 @t207) % 5.33/5.59 (assume-push @p847 @t203) % 5.33/5.59 (assume-push @p848 @t201) % 5.33/5.59 (assume-push @p849 @t199) % 5.33/5.59 (assume-push @p850 @t116) % 5.33/5.59 (step @p701 :rule false_intro :premises (@p215)) % 5.33/5.59 (step @p702 :rule cong :premises (@p153 @p78) :args (@t45)) % 5.33/5.59 (step @p703 :rule trans :premises (@p323 @p702)) % 5.33/5.59 (step @p704 :rule cong :premises (@p703 @p316) :args (@t150)) % 5.33/5.60 (step @p705 :rule trans :premises (@p125 @p327 @p704)) % 5.33/5.60 (step @p706 :rule cong :premises (@p705 @p78) :args ((tptp.leq @t45 @t44))) % 5.33/5.60 (step @p707 :rule symm :premises (@p125)) % 5.33/5.60 (step @p708 :rule symm :premises (@p327)) % 5.33/5.60 (step @p709 :rule cong :premises (@p153 @p277) :args (@t90)) % 5.33/5.60 (step @p710 :rule cong :premises (@p313 @p709) :args (@t205)) % 5.33/5.60 (step @p711 :rule trans :premises (@p710 @p220 @p219)) % 5.33/5.60 (step @p712 :rule trans :premises (@p711 @p326)) % 5.33/5.60 (step @p713 :rule cong :premises (@p712 @p316) :args (@t206)) % 5.33/5.60 (step @p714 :rule cong :premises (@p153 @p522) :args (@t45)) % 5.33/5.60 (step @p715 :rule trans :premises (@p714 @p119)) % 5.33/5.60 (step @p716 :rule cong :premises (@p318 @p715) :args (@t134)) % 5.33/5.60 (step @p717 :rule cong :premises (@p233 @p332) :args (@t234)) % 5.33/5.60 (step @p718 :rule symm :premises (@p113)) % 5.33/5.60 (step @p719 :rule trans :premises (@p718 @p717 @p232 @p231 @p230 @p227 @p224)) % 5.33/5.60 (step @p720 :rule cong :premises (@p336 @p719) :args (@t198)) % 5.33/5.60 (step @p721 :rule trans :premises (@p36 @p238 @p237 @p115 @p236 @p339 @p126 @p338)) % 5.33/5.60 (step @p722 :rule cong :premises (@p248 @p721) :args (@t278)) % 5.33/5.60 (step @p723 :rule trans :premises (@p21 @p23 @p546 @p35 @p722)) % 5.33/5.60 (step @p724 :rule cong :premises (@p723 @p332) :args (@t88)) % 5.33/5.60 (step @p725 :rule trans :premises (@p724 @p127 @p720 @p220 @p219)) % 5.33/5.60 (step @p726 :rule cong :premises (@p401 @p725) :args (@t209)) % 5.33/5.60 (step @p727 :rule refl :args (@t65)) % 5.33/5.60 (step @p728 :rule cong :premises (@p136 @p254) :args (@t231)) % 5.33/5.60 (step @p729 :rule symm :premises (@p114)) % 5.33/5.60 (step @p730 :rule trans :premises (@p729 @p728)) % 5.33/5.60 (step @p731 :rule cong :premises (@p730 @p727) :args ((tptp.addition @t230 @t65))) % 5.33/5.60 (step @p732 :rule trans :premises (@p731 @p123 @p726 @p716 @p124 @p713 @p708 @p707)) % 5.33/5.60 (step @p733 :rule symm :premises (@p731)) % 5.33/5.60 (step @p734 :rule trans :premises (@p733 @p732)) % 5.33/5.60 (step @p735 :rule cong :premises (@p734 @p96) :args ((tptp.leq @t118 @t62))) % 5.33/5.60 (step @p736 :rule refl :args (@t118)) % 5.33/5.60 (step @p737 :rule cong :premises (@p736 @p50) :args (@t194)) % 5.33/5.60 (step @p738 :rule trans :premises (@p737 @p735 @p706 @p701)) % 5.33/5.60 (step @p739 :rule false_elim :premises (@p738)) % 5.33/5.60 (step-pop @p851 :rule scope :premises (@p739)) % 5.33/5.60 (step-pop @p852 :rule scope :premises (@p851)) % 5.33/5.60 (step-pop @p853 :rule scope :premises (@p852)) % 5.33/5.60 (step-pop @p854 :rule scope :premises (@p853)) % 5.33/5.60 (step-pop @p855 :rule scope :premises (@p854)) % 5.33/5.60 (step-pop @p856 :rule scope :premises (@p855)) % 5.33/5.60 (step-pop @p857 :rule scope :premises (@p856)) % 5.33/5.60 (step-pop @p858 :rule scope :premises (@p857)) % 5.33/5.60 (step-pop @p859 :rule scope :premises (@p858)) % 5.33/5.60 (step-pop @p860 :rule scope :premises (@p859)) % 5.33/5.60 (step-pop @p861 :rule scope :premises (@p860)) % 5.33/5.60 (step-pop @p862 :rule scope :premises (@p861)) % 5.33/5.60 (step-pop @p863 :rule scope :premises (@p862)) % 5.33/5.60 (step-pop @p864 :rule scope :premises (@p863)) % 5.33/5.60 (step-pop @p865 :rule scope :premises (@p864)) % 5.33/5.60 (step-pop @p866 :rule scope :premises (@p865)) % 5.33/5.60 (step-pop @p867 :rule scope :premises (@p866)) % 5.33/5.60 (step-pop @p868 :rule scope :premises (@p867)) % 5.33/5.60 (step-pop @p869 :rule scope :premises (@p868)) % 5.33/5.60 (step-pop @p870 :rule scope :premises (@p869)) % 5.33/5.60 (step-pop @p871 :rule scope :premises (@p870)) % 5.33/5.60 (step-pop @p872 :rule scope :premises (@p871)) % 0.36/5.61 (step-pop @p873 :rule scope :premises (@p872)) % 0.36/5.61 (step-pop @p874 :rule scope :premises (@p873)) % 0.36/5.61 (step-pop @p875 :rule scope :premises (@p874)) % 0.36/5.61 (step-pop @p876 :rule scope :premises (@p875)) % 0.36/5.61 (step-pop @p877 :rule scope :premises (@p876)) % 0.36/5.61 (step-pop @p878 :rule scope :premises (@p877)) % 0.36/5.61 (step-pop @p879 :rule scope :premises (@p878)) % 0.36/5.61 (step-pop @p880 :rule scope :premises (@p879)) % 0.36/5.61 (step-pop @p881 :rule scope :premises (@p880)) % 0.36/5.61 (step-pop @p882 :rule scope :premises (@p881)) % 0.36/5.61 (step-pop @p883 :rule scope :premises (@p882)) % 0.36/5.61 (step-pop @p884 :rule scope :premises (@p883)) % 0.36/5.61 (step-pop @p885 :rule scope :premises (@p884)) % 0.36/5.61 (step-pop @p886 :rule scope :premises (@p885)) % 0.36/5.61 (step-pop @p887 :rule scope :premises (@p886)) % 0.36/5.61 (step-pop @p888 :rule scope :premises (@p887)) % 0.36/5.61 (step-pop @p889 :rule scope :premises (@p888)) % 0.36/5.61 (step-pop @p890 :rule scope :premises (@p889)) % 0.36/5.61 (step-pop @p891 :rule scope :premises (@p890)) % 0.36/5.61 (step-pop @p892 :rule scope :premises (@p891)) % 0.36/5.61 (step-pop @p893 :rule scope :premises (@p892)) % 0.36/5.61 (step-pop @p894 :rule scope :premises (@p893)) % 0.36/5.61 (step-pop @p895 :rule scope :premises (@p894)) % 0.36/5.61 (step-pop @p896 :rule scope :premises (@p895)) % 0.36/5.61 (step-pop @p897 :rule scope :premises (@p896)) % 0.36/5.61 (step @p740 :rule process_scope :premises (@p897) :args (@t196)) % 0.36/5.61 (step @p788 :rule implies_elim :premises (@p740)) % 0.36/5.61 (step @p789 :rule cnf_and_neg :args (@t297)) % 0.36/5.61 (step @p790 :rule resolution :premises (@p789 @p788) :args (true @t297)) % 0.36/5.61 (step @p791 :rule eq_resolve :premises (@p790 @p653)) % 0.36/5.61 (step @p792 :rule reordering :premises (@p791) :args ((or @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t277 @t275 @t274 @t272 @t270 @t268 @t266 @t264 @t263 @t261 @t259 @t257 @t255 @t254 @t252 @t250 @t248 @t246 @t244 @t242 @t240 @t196 @t238 @t236 @t233 @t229 @t227 @t224 @t222 @t220 @t218 @t215 @t213 @t115 @t211 @t208 @t204 @t202 @t200))) % 0.36/5.61 (step @p793 false :rule chain_m_resolution :premises (@p792 @p604 @p215 @p127 @p126 @p125 @p124 @p123 @p122 @p121 @p120 @p119 @p118 @p117 @p116 @p115 @p114 @p113 @p112 @p108 @p84 @p83 @p79 @p78 @p77 @p73 @p72 @p71 @p70 @p61 @p60 @p59 @p55 @p54 @p53 @p52 @p51 @p50 @p46 @p36 @p35 @p34 @p33 @p29 @p25 @p24 @p23 @p22 @p21) :args (false (@list false true false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false) (@list @t194 @t115 @t199 @t201 @t203 @t207 @t210 @t212 @t214 @t217 @t219 @t221 @t223 @t226 @t228 @t232 @t235 @t237 @t84 @t239 @t241 @t243 @t245 @t247 @t249 @t251 @t253 @t68 @t256 @t258 @t260 @t262 @t265 @t267 @t269 @t271 @t273 @t55 @t276 @t279 @t281 @t283 @t285 @t287 @t289 @t291 @t293 @t295))) % 0.36/5.61 ) % 0.36/5.61 % SZS output end Proof % 0.36/5.61 % cvc5 exiting %------------------------------------------------------------------------------