%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE145+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:28:23 AM UTC 2026 % Result : Theorem 12.22s 12.42s % Output : Proof 12.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : KLE145+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.24 % Computer : n024.cluster.edu % 0.07/0.24 % Model : x86_64 x86_64 % 0.07/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.24 % Memory : 8042.1875MB % 0.07/0.24 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.24 % CPULimit : 300 % 0.07/0.24 % WCLimit : 300 % 0.07/0.24 % DateTime : Tue Jun 2 00:19:45 EDT 2026 % 0.07/0.24 % CPUTime : % 0.07/0.32 %----Proving TF0_NAR, FOF, or CNF % 12.22/12.42 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 12.22/12.42 % SZS status Theorem % 12.22/12.42 % SZS output start Proof % 12.22/12.42 ( % 12.22/12.42 (declare-sort $$unsorted 0) % 12.22/12.42 (declare-const tptp.strong_iteration (-> $$unsorted $$unsorted)) % 12.22/12.42 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 12.22/12.42 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 12.22/12.42 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 12.22/12.42 (declare-const tptp.zero $$unsorted) % 12.22/12.42 (declare-const tptp.one $$unsorted) % 12.22/12.42 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 12.22/12.42 (define @t1 () (@var "A" $$unsorted)) % 12.22/12.42 (define @t2 () (@var "B" $$unsorted)) % 12.22/12.42 (define @t3 () (tptp.addition @t1 @t2)) % 12.22/12.42 (define @t4 () (@list @t1 @t2)) % 12.22/12.42 (define @t5 () (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 12.22/12.42 (define @t6 () (@var "C" $$unsorted)) % 12.22/12.42 (define @t7 () (tptp.addition @t2 @t6)) % 12.22/12.42 (define @t8 () (tptp.addition @t1 tptp.zero)) % 12.22/12.42 (define @t9 () (@list @t1)) % 12.22/12.42 (define @t10 () (forall @t9 (= @t8 @t1))) % 12.22/12.42 (define @t11 () (tptp.addition @t1 @t1)) % 12.22/12.42 (define @t12 () (forall @t9 (= @t11 @t1))) % 12.22/12.42 (define @t13 () (tptp.multiplication @t1 @t2)) % 12.22/12.42 (define @t14 () (tptp.multiplication @t2 @t6)) % 12.22/12.42 (define @t15 () (@list @t1 @t2 @t6)) % 12.22/12.42 (define @t16 () (forall @t15 (= (tptp.multiplication @t1 @t14) (tptp.multiplication @t13 @t6)))) % 12.22/12.42 (define @t17 () (tptp.multiplication @t1 tptp.one)) % 12.22/12.42 (define @t18 () (forall @t9 (= @t17 @t1))) % 12.22/12.42 (define @t19 () (tptp.multiplication tptp.one @t1)) % 12.22/12.42 (define @t20 () (forall @t9 (= @t19 @t1))) % 12.22/12.42 (define @t21 () (tptp.multiplication @t1 @t6)) % 12.22/12.42 (define @t22 () (forall @t15 (= (tptp.multiplication @t3 @t6) (tptp.addition @t21 @t14)))) % 12.22/12.42 (define @t23 () (tptp.multiplication tptp.zero @t1)) % 12.22/12.42 (define @t24 () (forall @t9 (= @t23 tptp.zero))) % 12.22/12.42 (define @t25 () (tptp.star @t1)) % 12.22/12.42 (define @t26 () (tptp.addition tptp.one (tptp.multiplication @t1 @t25))) % 12.22/12.42 (define @t27 () (forall @t9 (= @t26 @t25))) % 12.22/12.42 (define @t28 () (tptp.addition tptp.one (tptp.multiplication @t25 @t1))) % 12.22/12.42 (define @t29 () (forall @t9 (= @t28 @t25))) % 12.22/12.42 (define @t30 () (tptp.leq (tptp.multiplication @t25 @t2) @t6)) % 12.22/12.42 (define @t31 () (tptp.addition @t21 @t2)) % 12.22/12.42 (define @t32 () (tptp.leq @t31 @t6)) % 12.22/12.42 (define @t33 () (forall @t15 (=> @t32 @t30))) % 12.22/12.42 (define @t34 () (tptp.leq (tptp.multiplication @t2 @t25) @t6)) % 12.22/12.42 (define @t35 () (tptp.leq (tptp.addition (tptp.multiplication @t6 @t1) @t2) @t6)) % 12.22/12.42 (define @t36 () (forall @t15 (=> @t35 @t34))) % 12.22/12.42 (define @t37 () (tptp.strong_iteration @t1)) % 12.22/12.42 (define @t38 () (tptp.leq @t1 @t2)) % 12.22/12.42 (define @t39 () (= @t38 (= @t3 @t2))) % 12.22/12.42 (define @t40 () (forall @t4 @t39)) % 12.22/12.42 (define @t41 () (@var "X0" $$unsorted)) % 12.22/12.42 (define @t42 () (tptp.strong_iteration @t41)) % 12.22/12.42 (define @t43 () (tptp.star @t42)) % 12.22/12.42 (define @t44 () (@list @t41)) % 12.22/12.42 (define @t45 () (forall @t44 (= @t43 @t42))) % 12.22/12.42 (define @t46 () (not @t45)) % 12.22/12.42 (define @t47 () (@quantifiers_skolemize (forall @t44 (= @t42 @t43)) 0)) % 12.22/12.42 (define @t48 () (tptp.strong_iteration @t47)) % 12.22/12.42 (define @t49 () (@list @t48)) % 12.22/12.42 (define @t50 () (@list @t47)) % 12.22/12.42 (define @t51 () (tptp.star @t48)) % 12.22/12.42 (define @t52 () (tptp.multiplication @t51 @t48)) % 12.22/12.42 (define @t53 () (tptp.multiplication @t48 tptp.zero)) % 12.22/12.42 (define @t54 () (tptp.star @t47)) % 12.22/12.42 (define @t55 () (tptp.multiplication @t54 @t47)) % 12.22/12.42 (define @t56 () (tptp.addition @t54 @t53)) % 12.22/12.42 (define @t57 () (tptp.multiplication tptp.zero @t51)) % 12.22/12.42 (define @t58 () (tptp.multiplication @t48 @t57)) % 12.22/12.42 (define @t59 () (tptp.multiplication @t53 @t51)) % 12.22/12.42 (define @t60 () (= @t58 @t59)) % 12.22/12.42 (define @t61 () (@list @t48 tptp.zero @t51)) % 12.22/12.42 (define @t62 () (= @t59 @t58)) % 12.22/12.42 (define @t63 () (@list false)) % 12.22/12.42 (define @t64 () (@list @t16)) % 12.22/12.42 (define @t65 () (tptp.multiplication tptp.zero tptp.zero)) % 12.22/12.42 (define @t66 () (tptp.multiplication @t48 @t65)) % 12.22/12.42 (define @t67 () (tptp.multiplication @t53 tptp.zero)) % 12.22/12.42 (define @t68 () (= @t66 @t67)) % 12.22/12.42 (define @t69 () (@list @t48 tptp.zero tptp.zero)) % 12.22/12.42 (define @t70 () (= @t67 @t66)) % 12.22/12.42 (define @t71 () (@list @t54)) % 12.22/12.42 (define @t72 () (tptp.multiplication @t54 tptp.zero)) % 12.22/12.42 (define @t73 () (tptp.multiplication tptp.one @t48)) % 12.22/12.42 (define @t74 () (tptp.multiplication @t54 tptp.one)) % 12.22/12.42 (define @t75 () (@list @t74 @t48)) % 12.22/12.42 (define @t76 () (tptp.multiplication @t48 @t51)) % 12.22/12.42 (define @t77 () (tptp.multiplication @t53 tptp.one)) % 12.22/12.42 (define @t78 () (tptp.multiplication @t53 @t52)) % 12.22/12.42 (define @t79 () (tptp.multiplication tptp.one tptp.one)) % 12.22/12.42 (define @t80 () (tptp.multiplication @t55 tptp.one)) % 12.22/12.42 (define @t81 () (tptp.multiplication @t48 tptp.one)) % 12.22/12.42 (define @t82 () (tptp.multiplication @t47 tptp.one)) % 12.22/12.42 (define @t83 () (tptp.multiplication @t54 @t82)) % 12.22/12.42 (define @t84 () (= @t83 @t80)) % 12.22/12.42 (define @t85 () (@list @t54 @t47 tptp.one)) % 12.22/12.42 (define @t86 () (= @t80 @t83)) % 12.22/12.42 (define @t87 () (tptp.multiplication @t48 @t48)) % 12.22/12.42 (define @t88 () (tptp.multiplication tptp.one @t87)) % 12.22/12.42 (define @t89 () (tptp.multiplication @t73 @t48)) % 12.22/12.42 (define @t90 () (= @t88 @t89)) % 12.22/12.42 (define @t91 () (@list tptp.one @t48 @t48)) % 12.22/12.42 (define @t92 () (= @t89 @t88)) % 12.22/12.42 (define @t93 () (tptp.multiplication tptp.zero @t52)) % 12.22/12.42 (define @t94 () (tptp.multiplication @t48 @t93)) % 12.22/12.42 (define @t95 () (= @t94 @t78)) % 12.22/12.42 (define @t96 () (@list @t48 tptp.zero @t52)) % 12.22/12.42 (define @t97 () (= @t78 @t94)) % 12.22/12.42 (define @t98 () (@list tptp.one)) % 12.22/12.42 (define @t99 () (@list tptp.zero)) % 12.22/12.42 (define @t100 () (tptp.multiplication @t55 @t47)) % 12.22/12.42 (define @t101 () (tptp.multiplication tptp.one @t47)) % 12.22/12.42 (define @t102 () (tptp.addition tptp.one tptp.one)) % 12.22/12.42 (define @t103 () (tptp.multiplication @t102 @t48)) % 12.22/12.42 (define @t104 () (tptp.addition @t73 @t73)) % 12.22/12.42 (define @t105 () (= @t103 @t104)) % 12.22/12.42 (define @t106 () (@list tptp.one tptp.one @t48)) % 12.22/12.42 (define @t107 () (= @t104 @t103)) % 12.22/12.42 (define @t108 () (@list @t51)) % 12.22/12.42 (define @t109 () (tptp.multiplication @t47 @t48)) % 12.22/12.42 (define @t110 () (tptp.addition @t109 tptp.one)) % 12.22/12.42 (define @t111 () (tptp.addition @t81 @t81)) % 12.22/12.42 (define @t112 () (tptp.addition @t110 @t48)) % 12.22/12.42 (define @t113 () (= @t48 @t112)) % 12.22/12.42 (define @t114 () (tptp.leq @t110 @t48)) % 12.22/12.42 (define @t115 () (= @t114 @t113)) % 12.22/12.42 (define @t116 () (@list false false)) % 12.22/12.42 (define @t117 () (tptp.leq @t74 @t48)) % 12.22/12.42 (define @t118 () (not @t114)) % 12.22/12.42 (define @t119 () (or @t118 @t117)) % 12.22/12.42 (define @t120 () (tptp.addition @t74 @t48)) % 12.22/12.42 (define @t121 () (= @t48 @t120)) % 12.22/12.42 (define @t122 () (= @t117 @t121)) % 12.22/12.42 (define @t123 () (tptp.multiplication @t54 @t48)) % 12.22/12.42 (define @t124 () (tptp.addition @t80 @t48)) % 12.22/12.42 (define @t125 () (tptp.addition tptp.one @t73)) % 12.22/12.42 (define @t126 () (tptp.multiplication @t77 @t48)) % 12.22/12.42 (define @t127 () (tptp.multiplication @t74 @t48)) % 12.22/12.42 (define @t128 () (tptp.addition tptp.one @t77)) % 12.22/12.42 (define @t129 () (tptp.multiplication tptp.one tptp.zero)) % 12.22/12.42 (define @t130 () (tptp.star tptp.zero)) % 12.22/12.42 (define @t131 () (tptp.addition @t74 @t72)) % 12.22/12.42 (define @t132 () (tptp.addition @t131 tptp.one)) % 12.22/12.42 (define @t133 () (tptp.addition tptp.one @t131)) % 12.22/12.42 (define @t134 () (= @t132 @t133)) % 12.22/12.42 (define @t135 () (= @t133 @t132)) % 12.22/12.42 (define @t136 () (tptp.addition @t48 tptp.one)) % 12.22/12.42 (define @t137 () (tptp.addition @t74 @t89)) % 12.22/12.42 (define @t138 () (tptp.addition @t125 @t126)) % 12.22/12.42 (define @t139 () (tptp.addition @t74 @t79)) % 12.22/12.42 (define @t140 () (tptp.multiplication @t126 tptp.one)) % 12.22/12.42 (define @t141 () (tptp.multiplication @t127 tptp.one)) % 12.22/12.42 (define @t142 () (tptp.addition @t53 tptp.one)) % 12.22/12.42 (define @t143 () (tptp.multiplication @t52 @t48)) % 12.22/12.42 (define @t144 () (tptp.addition tptp.one @t143)) % 12.22/12.42 (define @t145 () (tptp.addition tptp.one @t52)) % 12.22/12.42 (define @t146 () (tptp.addition @t73 @t143)) % 12.22/12.42 (define @t147 () (tptp.addition @t144 @t73)) % 12.22/12.42 (define @t148 () (= @t73 @t147)) % 12.22/12.42 (define @t149 () (tptp.leq @t144 @t73)) % 12.22/12.42 (define @t150 () (= @t149 @t148)) % 12.22/12.42 (define @t151 () (not @t149)) % 12.22/12.42 (define @t152 () (@list true false)) % 12.22/12.42 (define @t153 () (tptp.multiplication @t51 @t87)) % 12.22/12.42 (define @t154 () (tptp.multiplication @t56 @t51)) % 12.22/12.42 (define @t155 () (tptp.multiplication @t54 @t51)) % 12.22/12.42 (define @t156 () (tptp.addition @t155 @t59)) % 12.22/12.42 (define @t157 () (tptp.multiplication @t76 @t56)) % 12.22/12.42 (define @t158 () (tptp.multiplication @t48 @t52)) % 12.22/12.42 (define @t159 () (tptp.addition @t81 @t158)) % 12.22/12.42 (define @t160 () (tptp.addition tptp.one @t76)) % 12.22/12.42 (define @t161 () (tptp.multiplication @t160 @t48)) % 12.22/12.42 (define @t162 () (tptp.addition @t53 @t54)) % 12.22/12.42 (define @t163 () (tptp.addition tptp.one @t55)) % 12.22/12.42 (define @t164 () (tptp.multiplication @t163 tptp.one)) % 12.22/12.42 (define @t165 () (tptp.addition @t79 @t80)) % 12.22/12.42 (define @t166 () (tptp.multiplication @t80 @t52)) % 12.22/12.42 (define @t167 () (tptp.multiplication @t79 @t52)) % 12.22/12.42 (define @t168 () (tptp.addition @t167 @t166)) % 12.22/12.42 (define @t169 () (tptp.multiplication tptp.one @t52)) % 12.22/12.42 (define @t170 () (tptp.multiplication tptp.one @t51)) % 12.22/12.42 (define @t171 () (tptp.multiplication @t54 @t52)) % 12.22/12.42 (define @t172 () (tptp.addition @t78 @t171)) % 12.22/12.42 (define @t173 () (tptp.addition @t81 @t78)) % 12.22/12.42 (define @t174 () (tptp.addition @t163 @t53)) % 12.22/12.42 (define @t175 () (tptp.addition @t54 @t77)) % 12.22/12.42 (define @t176 () (tptp.addition @t175 @t78)) % 12.22/12.42 (define @t177 () (tptp.multiplication @t162 tptp.one)) % 12.22/12.42 (define @t178 () (tptp.addition @t77 @t74)) % 12.22/12.42 (define @t179 () (tptp.multiplication @t178 @t57)) % 12.22/12.42 (define @t180 () (tptp.addition @t171 @t81)) % 12.22/12.42 (define @t181 () (tptp.multiplication @t56 tptp.zero)) % 12.22/12.42 (define @t182 () (tptp.addition (tptp.addition (tptp.multiplication @t67 @t52) (tptp.multiplication @t72 @t52)) @t180)) % 12.22/12.42 (define @t183 () (tptp.multiplication @t155 @t56)) % 12.22/12.42 (define @t184 () (tptp.addition @t183 @t79)) % 12.22/12.42 (define @t185 () (tptp.addition @t52 tptp.one)) % 12.22/12.42 (define @t186 () (tptp.multiplication @t53 @t185)) % 12.22/12.42 (define @t187 () (tptp.addition @t77 @t78)) % 12.22/12.42 (define @t188 () (tptp.addition @t54 @t187)) % 12.22/12.42 (define @t189 () (tptp.addition @t78 @t167)) % 12.22/12.42 (define @t190 () (tptp.multiplication @t52 @t54)) % 12.22/12.42 (define @t191 () (tptp.multiplication @t52 @t53)) % 12.22/12.42 (define @t192 () (tptp.addition @t143 @t73)) % 12.22/12.42 (define @t193 () (tptp.addition (tptp.multiplication @t143 @t53) (tptp.multiplication @t73 @t53))) % 12.22/12.42 (define @t194 () (tptp.multiplication @t51 @t53)) % 12.22/12.42 (define @t195 () (tptp.addition @t72 @t67)) % 12.22/12.42 (define @t196 () (tptp.multiplication tptp.one @t53)) % 12.22/12.42 (define @t197 () (tptp.addition @t196 @t129)) % 12.22/12.42 (define @t198 () (tptp.multiplication @t52 tptp.zero)) % 12.22/12.42 (define @t199 () (tptp.addition @t198 @t129)) % 12.22/12.42 (define @t200 () (tptp.multiplication @t51 tptp.zero)) % 12.22/12.42 (define @t201 () (tptp.multiplication @t51 @t65)) % 12.22/12.42 (define @t202 () (tptp.multiplication @t200 tptp.zero)) % 12.22/12.42 (define @t203 () (= @t201 @t202)) % 12.22/12.42 (define @t204 () (@list @t51 tptp.zero tptp.zero)) % 12.22/12.42 (define @t205 () (tptp.multiplication @t51 tptp.one)) % 12.22/12.42 (define @t206 () (tptp.multiplication @t74 @t51)) % 12.22/12.42 (define @t207 () (@list @t53 tptp.one @t51)) % 12.22/12.42 (define @t208 () (tptp.multiplication @t55 @t51)) % 12.22/12.42 (define @t209 () (tptp.addition @t79 @t208)) % 12.22/12.42 (define @t210 () (tptp.addition @t169 @t209)) % 12.22/12.42 (define @t211 () (tptp.addition @t78 @t77)) % 12.22/12.42 (define @t212 () (tptp.addition @t48 @t158)) % 12.22/12.42 (define @t213 () (tptp.addition @t74 @t81)) % 12.22/12.42 (define @t214 () (tptp.addition @t77 @t213)) % 12.22/12.42 (define @t215 () (tptp.addition @t129 @t52)) % 12.22/12.42 (define @t216 () (tptp.multiplication tptp.one @t54)) % 12.22/12.42 (define @t217 () (tptp.addition @t190 @t216)) % 12.22/12.42 (define @t218 () (tptp.multiplication @t51 @t54)) % 12.22/12.42 (define @t219 () (tptp.addition @t218 @t194)) % 12.22/12.42 (define @t220 () (tptp.addition (tptp.multiplication @t47 @t219) tptp.one)) % 12.22/12.42 (define @t221 () (tptp.multiplication @t47 @t146)) % 12.22/12.42 (define @t222 () (= @t153 @t143)) % 12.22/12.42 (define @t223 () (tptp.addition @t143 @t54)) % 12.22/12.42 (define @t224 () (tptp.multiplication @t47 @t54)) % 12.22/12.42 (define @t225 () (tptp.multiplication @t79 @t55)) % 12.22/12.42 (define @t226 () (tptp.multiplication tptp.one @t80)) % 12.22/12.42 (define @t227 () (tptp.multiplication @t163 @t47)) % 12.22/12.42 (define @t228 () (tptp.addition @t101 @t100)) % 12.22/12.42 (define @t229 () (= @t219 (tptp.addition @t220 @t219))) % 12.22/12.42 (define @t230 () (tptp.leq @t220 @t219)) % 12.22/12.42 (define @t231 () (= @t230 @t229)) % 12.22/12.42 (define @t232 () (tptp.leq @t74 @t219)) % 12.22/12.42 (define @t233 () (not @t230)) % 12.22/12.42 (define @t234 () (or @t233 @t232)) % 12.22/12.42 (define @t235 () (tptp.leq @t54 @t217)) % 12.22/12.42 (define @t236 () (= @t217 (tptp.addition @t54 @t217))) % 12.22/12.42 (define @t237 () (= @t235 @t236)) % 12.22/12.42 (define @t238 () (tptp.multiplication tptp.one @t165)) % 12.22/12.42 (define @t239 () (tptp.multiplication tptp.one @t79)) % 12.22/12.42 (define @t240 () (tptp.addition @t239 @t226)) % 12.22/12.42 (define @t241 () (tptp.addition @t225 @t205)) % 12.22/12.42 (define @t242 () (tptp.multiplication @t169 @t55)) % 12.22/12.42 (define @t243 () (tptp.multiplication @t51 @t55)) % 12.22/12.42 (define @t244 () (tptp.leq (tptp.multiplication @t142 @t51) @t48)) % 12.22/12.42 (define @t245 () (tptp.leq (tptp.addition @t87 @t142) @t48)) % 12.22/12.42 (define @t246 () (not @t245)) % 12.22/12.42 (define @t247 () (or @t246 @t244)) % 12.22/12.42 (define @t248 () (= @t81 (tptp.addition @t48 @t81))) % 12.22/12.42 (define @t249 () (tptp.leq @t48 @t81)) % 12.22/12.42 (define @t250 () (= @t249 @t248)) % 12.22/12.42 (define @t251 () (tptp.addition @t48 @t77)) % 12.22/12.42 (define @t252 () (tptp.addition @t53 @t48)) % 12.22/12.42 (define @t253 () (tptp.addition @t73 tptp.one)) % 12.22/12.42 (define @t254 () (tptp.addition (tptp.addition @t74 @t77) @t239)) % 12.22/12.42 (define @t255 () (tptp.addition @t165 @t48)) % 12.22/12.42 (define @t256 () (tptp.addition @t79 @t124)) % 12.22/12.42 (define @t257 () (tptp.addition @t74 @t256)) % 12.22/12.42 (define @t258 () (tptp.addition @t54 tptp.one)) % 12.22/12.42 (define @t259 () (tptp.addition @t55 tptp.one)) % 12.22/12.42 (define @t260 () (tptp.addition @t259 tptp.one)) % 12.22/12.42 (define @t261 () (tptp.multiplication @t228 tptp.one)) % 12.22/12.42 (define @t262 () (tptp.addition (tptp.multiplication @t101 tptp.one) (tptp.multiplication @t100 tptp.one))) % 12.22/12.42 (define @t263 () (tptp.addition @t262 tptp.one)) % 12.22/12.42 (define @t264 () (tptp.addition @t124 @t74)) % 12.22/12.42 (define @t265 () (tptp.multiplication tptp.zero @t130)) % 12.22/12.42 (define @t266 () (tptp.addition tptp.one @t265)) % 12.22/12.42 (define @t267 () (tptp.addition tptp.one (tptp.multiplication @t130 tptp.zero))) % 12.22/12.42 (define @t268 () (tptp.addition @t79 @t264)) % 12.22/12.42 (define @t269 () (tptp.addition @t48 @t74)) % 12.22/12.42 (define @t270 () (tptp.multiplication @t47 @t53)) % 12.22/12.42 (define @t271 () (tptp.addition @t224 @t270)) % 12.22/12.42 (define @t272 () (tptp.addition @t271 @t239)) % 12.22/12.42 (define @t273 () (tptp.multiplication @t59 @t48)) % 12.22/12.42 (define @t274 () (tptp.addition tptp.one @t53)) % 12.22/12.42 (define @t275 () (tptp.multiplication @t142 @t48)) % 12.22/12.42 (define @t276 () (tptp.leq (tptp.addition @t109 @t48) @t48)) % 12.22/12.42 (define @t277 () (tptp.leq @t123 @t48)) % 12.22/12.42 (define @t278 () (not @t276)) % 12.22/12.42 (define @t279 () (or @t278 @t277)) % 12.22/12.42 (define @t280 () (not @t277)) % 12.22/12.42 (define @t281 () (tptp.addition @t74 @t140)) % 12.22/12.42 (define @t282 () (tptp.addition @t281 @t141)) % 12.22/12.42 (define @t283 () (tptp.addition @t140 @t141)) % 12.22/12.42 (define @t284 () (= (tptp.addition @t74 @t283) @t282)) % 12.22/12.42 (define @t285 () (not @t284)) % 12.22/12.42 (define @t286 () (tptp.addition @t55 @t102)) % 12.22/12.42 (define @t287 () (= @t286 @t260)) % 12.22/12.42 (define @t288 () (not @t287)) % 12.22/12.42 (define @t289 () (tptp.addition @t139 @t124)) % 12.22/12.42 (define @t290 () (= @t289 (tptp.addition @t124 @t139))) % 12.22/12.42 (define @t291 () (not @t290)) % 12.22/12.42 (define @t292 () (tptp.addition @t138 @t127)) % 12.22/12.42 (define @t293 () (= @t292 (tptp.addition @t127 @t138))) % 12.22/12.42 (define @t294 () (not @t293)) % 12.22/12.42 (define @t295 () (tptp.addition @t137 @t128)) % 12.22/12.42 (define @t296 () (tptp.addition @t128 @t137)) % 12.22/12.42 (define @t297 () (= @t296 @t295)) % 12.22/12.42 (define @t298 () (not @t297)) % 12.22/12.42 (define @t299 () (tptp.addition @t136 @t53)) % 12.22/12.42 (define @t300 () (tptp.addition @t53 @t136)) % 12.22/12.42 (define @t301 () (= @t300 @t299)) % 12.22/12.42 (define @t302 () (not @t301)) % 12.22/12.42 (define @t303 () (not @t135)) % 12.22/12.42 (define @t304 () (= tptp.zero @t265)) % 12.22/12.42 (define @t305 () (not @t304)) % 12.22/12.42 (define @t306 () (tptp.multiplication @t89 tptp.one)) % 12.22/12.42 (define @t307 () (tptp.addition @t306 @t81)) % 12.22/12.42 (define @t308 () (tptp.addition @t89 @t48)) % 12.22/12.42 (define @t309 () (= (tptp.multiplication @t308 tptp.one) @t307)) % 12.22/12.42 (define @t310 () (not @t309)) % 12.22/12.42 (define @t311 () (tptp.addition @t54 @t102)) % 12.22/12.42 (define @t312 () (tptp.multiplication @t311 @t48)) % 12.22/12.42 (define @t313 () (= @t312 (tptp.addition @t123 @t103))) % 12.22/12.42 (define @t314 () (not @t313)) % 12.22/12.42 (define @t315 () (tptp.addition @t126 @t127)) % 12.22/12.42 (define @t316 () (= (tptp.multiplication @t315 tptp.one) @t283)) % 12.22/12.42 (define @t317 () (not @t316)) % 12.22/12.42 (define @t318 () (tptp.multiplication @t53 @t215)) % 12.22/12.42 (define @t319 () (= @t318 (tptp.addition (tptp.multiplication @t53 @t129) @t78))) % 12.22/12.42 (define @t320 () (not @t319)) % 12.22/12.42 (define @t321 () (tptp.multiplication @t103 @t93)) % 12.22/12.42 (define @t322 () (= (tptp.multiplication @t102 @t94) @t321)) % 12.22/12.42 (define @t323 () (not @t322)) % 12.22/12.42 (define @t324 () (tptp.multiplication @t216 @t48)) % 12.22/12.42 (define @t325 () (= (tptp.multiplication tptp.one @t123) @t324)) % 12.22/12.42 (define @t326 () (not @t325)) % 12.22/12.42 (define @t327 () (= tptp.one @t102)) % 12.22/12.42 (define @t328 () (not @t327)) % 12.22/12.42 (define @t329 () (tptp.addition tptp.one tptp.zero)) % 12.22/12.42 (define @t330 () (= tptp.one @t329)) % 12.22/12.42 (define @t331 () (not @t330)) % 12.22/12.42 (define @t332 () (tptp.addition @t48 @t89)) % 12.22/12.42 (define @t333 () (tptp.addition @t53 @t332)) % 12.22/12.42 (define @t334 () (= @t333 (tptp.addition @t252 @t89))) % 12.22/12.42 (define @t335 () (not @t334)) % 12.22/12.42 (define @t336 () (= @t268 (tptp.addition @t256 @t74))) % 12.22/12.42 (define @t337 () (not @t336)) % 12.22/12.42 (define @t338 () (tptp.addition @t128 @t74)) % 12.22/12.42 (define @t339 () (= @t296 (tptp.addition @t338 @t89))) % 12.22/12.42 (define @t340 () (not @t339)) % 12.22/12.42 (define @t341 () (= @t300 (tptp.addition @t252 tptp.one))) % 12.22/12.42 (define @t342 () (not @t341)) % 12.22/12.42 (define @t343 () (tptp.addition @t73 @t126)) % 12.22/12.42 (define @t344 () (tptp.addition @t343 @t127)) % 12.22/12.42 (define @t345 () (= (tptp.addition @t73 @t315) @t344)) % 12.22/12.42 (define @t346 () (not @t345)) % 12.22/12.42 (define @t347 () (tptp.addition @t125 @t315)) % 12.22/12.42 (define @t348 () (= @t347 @t292)) % 12.22/12.42 (define @t349 () (not @t348)) % 12.22/12.42 (define @t350 () (= @t257 @t289)) % 12.22/12.42 (define @t351 () (not @t350)) % 12.22/12.42 (define @t352 () (= @t188 @t176)) % 12.22/12.42 (define @t353 () (not @t352)) % 12.22/12.42 (define @t354 () (tptp.addition @t123 @t48)) % 12.22/12.42 (define @t355 () (= @t354 (tptp.addition @t48 @t123))) % 12.22/12.42 (define @t356 () (not @t355)) % 12.22/12.42 (define @t357 () (tptp.addition @t73 @t89)) % 12.22/12.42 (define @t358 () (= @t357 (tptp.addition @t89 @t73))) % 12.22/12.42 (define @t359 () (not @t358)) % 12.22/12.42 (define @t360 () (tptp.addition @t77 @t48)) % 12.22/12.42 (define @t361 () (= @t251 @t360)) % 12.22/12.42 (define @t362 () (not @t361)) % 12.22/12.42 (define @t363 () (= @t130 @t267)) % 12.22/12.42 (define @t364 () (not @t363)) % 12.22/12.42 (define @t365 () (= @t130 @t266)) % 12.22/12.42 (define @t366 () (not @t365)) % 12.22/12.42 (define @t367 () (= tptp.zero @t65)) % 12.22/12.42 (define @t368 () (not @t367)) % 12.22/12.42 (define @t369 () (= tptp.zero @t57)) % 12.22/12.42 (define @t370 () (not @t369)) % 12.22/12.42 (define @t371 () (not @t107)) % 12.22/12.42 (define @t372 () (= @t161 (tptp.addition @t73 (tptp.multiplication @t76 @t48)))) % 12.22/12.42 (define @t373 () (not @t372)) % 12.22/12.42 (define @t374 () (tptp.multiplication @t178 @t48)) % 12.22/12.42 (define @t375 () (= @t374 @t315)) % 12.22/12.42 (define @t376 () (not @t375)) % 12.22/12.42 (define @t377 () (= @t261 @t262)) % 12.22/12.42 (define @t378 () (not @t377)) % 12.22/12.42 (define @t379 () (tptp.multiplication @t54 @t329)) % 12.22/12.42 (define @t380 () (= @t379 @t131)) % 12.22/12.42 (define @t381 () (not @t380)) % 12.22/12.42 (define @t382 () (= @t238 @t240)) % 12.22/12.42 (define @t383 () (not @t382)) % 12.22/12.42 (define @t384 () (= @t54 @t216)) % 12.22/12.42 (define @t385 () (not @t384)) % 12.22/12.42 (define @t386 () (= tptp.zero @t129)) % 12.22/12.42 (define @t387 () (not @t386)) % 12.22/12.42 (define @t388 () (= @t53 @t77)) % 12.22/12.42 (define @t389 () (not @t388)) % 12.22/12.42 (define @t390 () (= @t47 @t82)) % 12.22/12.42 (define @t391 () (not @t390)) % 12.22/12.42 (define @t392 () (= tptp.one @t79)) % 12.22/12.42 (define @t393 () (not @t392)) % 12.22/12.42 (define @t394 () (not @t97)) % 12.22/12.42 (define @t395 () (not @t92)) % 12.22/12.42 (define @t396 () (not @t86)) % 12.22/12.42 (define @t397 () (= @t78 @t273)) % 12.22/12.42 (define @t398 () (not @t397)) % 12.22/12.42 (define @t399 () (tptp.multiplication @t73 @t81)) % 12.22/12.42 (define @t400 () (= @t399 @t306)) % 12.22/12.42 (define @t401 () (not @t400)) % 12.22/12.42 (define @t402 () (= @t81 @t111)) % 12.22/12.42 (define @t403 () (not @t402)) % 12.22/12.42 (define @t404 () (tptp.addition @t76 tptp.zero)) % 12.22/12.42 (define @t405 () (= @t76 @t404)) % 12.22/12.42 (define @t406 () (not @t405)) % 12.22/12.42 (define @t407 () (= @t214 (tptp.addition @t178 @t81))) % 12.22/12.42 (define @t408 () (not @t407)) % 12.22/12.42 (define @t409 () (= @t256 @t255)) % 12.22/12.42 (define @t410 () (not @t409)) % 12.22/12.42 (define @t411 () (= (tptp.addition tptp.one @t178) @t338)) % 12.22/12.42 (define @t412 () (not @t411)) % 12.22/12.42 (define @t413 () (tptp.addition @t54 @t67)) % 12.22/12.42 (define @t414 () (tptp.addition @t67 @t54)) % 12.22/12.42 (define @t415 () (= @t414 @t413)) % 12.22/12.42 (define @t416 () (not @t415)) % 12.22/12.42 (define @t417 () (= @t211 @t187)) % 12.22/12.42 (define @t418 () (not @t417)) % 12.22/12.42 (define @t419 () (= @t142 @t274)) % 12.22/12.42 (define @t420 () (not @t419)) % 12.22/12.42 (define @t421 () (= @t404 (tptp.addition tptp.zero @t76))) % 12.22/12.42 (define @t422 () (not @t421)) % 12.22/12.42 (define @t423 () (= @t120 @t269)) % 12.22/12.42 (define @t424 () (not @t423)) % 12.22/12.42 (define @t425 () (= @t125 @t253)) % 12.22/12.42 (define @t426 () (not @t425)) % 12.22/12.42 (define @t427 () (not @t121)) % 12.22/12.42 (define @t428 () (= @t164 @t165)) % 12.22/12.42 (define @t429 () (not @t428)) % 12.22/12.42 (define @t430 () (= @t227 @t228)) % 12.22/12.42 (define @t431 () (not @t430)) % 12.22/12.42 (define @t432 () (= (tptp.multiplication @t195 @t51) (tptp.addition (tptp.multiplication @t72 @t51) (tptp.multiplication @t67 @t51)))) % 12.22/12.42 (define @t433 () (not @t432)) % 12.22/12.42 (define @t434 () (= @t177 @t178)) % 12.22/12.42 (define @t435 () (not @t434)) % 12.22/12.42 (define @t436 () (= @t186 @t211)) % 12.22/12.42 (define @t437 () (not @t436)) % 12.22/12.42 (define @t438 () (= @t48 @t73)) % 12.22/12.42 (define @t439 () (not @t438)) % 12.22/12.42 (define @t440 () (= @t54 @t74)) % 12.22/12.42 (define @t441 () (not @t440)) % 12.22/12.42 (define @t442 () (= @t48 @t81)) % 12.22/12.42 (define @t443 () (not @t442)) % 12.22/12.42 (define @t444 () (not @t70)) % 12.22/12.42 (define @t445 () (not @t62)) % 12.22/12.42 (define @t446 () (= (tptp.multiplication @t48 (tptp.multiplication @t51 @t56)) @t157)) % 12.22/12.42 (define @t447 () (not @t446)) % 12.22/12.42 (define @t448 () (= @t163 @t259)) % 12.22/12.42 (define @t449 () (not @t448)) % 12.22/12.42 (define @t450 () (= @t54 @t163)) % 12.22/12.42 (define @t451 () (not @t450)) % 12.22/12.42 (define @t452 () (= @t181 @t195)) % 12.22/12.42 (define @t453 () (not @t452)) % 12.22/12.42 (define @t454 () (= @t154 @t156)) % 12.22/12.42 (define @t455 () (not @t454)) % 12.22/12.42 (define @t456 () (= (tptp.multiplication @t48 @t145) @t159)) % 12.22/12.42 (define @t457 () (not @t456)) % 12.22/12.42 (define @t458 () (= @t56 @t162)) % 12.22/12.42 (define @t459 () (not @t458)) % 12.22/12.42 (define @t460 () (= @t145 @t185)) % 12.22/12.42 (define @t461 () (not @t460)) % 12.22/12.42 (define @t462 () (= @t48 @t56)) % 12.22/12.42 (define @t463 () (not @t462)) % 12.22/12.42 (define @t464 () (= @t48 @t110)) % 12.22/12.42 (define @t465 () (not @t464)) % 12.22/12.42 (define @t466 () (= @t51 @t145)) % 12.22/12.42 (define @t467 () (not @t466)) % 12.22/12.42 (define @t468 () (= @t51 @t160)) % 12.22/12.42 (define @t469 () (not @t468)) % 12.22/12.42 (define @t470 () (tptp.addition @t87 @t274)) % 12.22/12.42 (define @t471 () (tptp.multiplication @t79 @t127)) % 12.22/12.42 (define @t472 () (tptp.multiplication @t79 tptp.one)) % 12.22/12.42 (define @t473 () (tptp.multiplication @t79 @t126)) % 12.22/12.42 (define @t474 () (tptp.addition @t66 @t126)) % 12.22/12.42 (define @t475 () (tptp.addition tptp.one @t54)) % 12.22/12.42 (define @t476 () (tptp.addition @t87 @t48)) % 12.22/12.42 (define @t477 () (tptp.addition @t73 @t140)) % 12.22/12.42 (define @t478 () (tptp.multiplication @t343 tptp.one)) % 12.22/12.42 (define @t479 () (tptp.multiplication @t79 @t87)) % 12.22/12.42 (define @t480 () (and @t468 @t466 @t464 @t462 @t460 @t458 @t456 @t454 @t452 @t450 @t448 @t446 @t62 @t70 @t442 @t440 @t438 @t436 @t434 @t432 @t430 @t428 @t121 @t425 @t423 @t421 @t419 @t417 @t415 @t411 @t409 @t407 @t405 @t402 @t400 @t397 @t86 @t92 @t97 @t392 @t390 @t388 @t386 @t384 @t382 @t380 @t377 @t375 @t372 @t107 @t369 @t367 @t365 @t363 @t361 @t358 @t355 @t352 @t350 @t348 @t345 @t341 @t339 @t336 @t334 @t330 @t327 @t325 @t322 @t319 @t316 @t313 @t309 @t304 @t135 @t301 @t297 @t293 @t290 @t287 @t284 @t246)) % 12.22/12.42 (assume @p1 @t5) % 12.22/12.42 (assume @p2 (forall (@list @t6 @t2 @t1) (= (tptp.addition @t1 @t7) (tptp.addition @t3 @t6)))) % 12.22/12.42 (assume @p3 @t10) % 12.22/12.42 (assume @p4 @t12) % 12.22/12.42 (assume @p5 @t16) % 12.22/12.42 (assume @p6 @t18) % 12.22/12.42 (assume @p7 @t20) % 12.22/12.42 (assume @p8 (forall @t15 (= (tptp.multiplication @t1 @t7) (tptp.addition @t13 @t21)))) % 12.22/12.42 (assume @p9 @t22) % 12.22/12.42 (assume @p10 @t24) % 12.22/12.42 (assume @p11 @t27) % 12.22/12.42 (assume @p12 @t29) % 12.22/12.42 (assume @p13 @t33) % 12.22/12.42 (assume @p14 @t36) % 12.22/12.42 (assume @p15 (forall @t9 (= @t37 (tptp.addition (tptp.multiplication @t1 @t37) tptp.one)))) % 12.22/12.42 (assume @p16 (forall @t15 (=> (tptp.leq @t6 @t31) (tptp.leq @t6 (tptp.multiplication @t37 @t2))))) % 12.22/12.42 (assume @p17 (forall @t9 (= @t37 (tptp.addition @t25 (tptp.multiplication @t37 tptp.zero))))) % 12.22/12.42 (assume @p18 @t40) % 12.22/12.42 (assume @p19 @t46) % 12.22/12.42 (assume @p20 true) % 12.22/12.42 (step @p21 :rule eq-symm :args (@t26 @t25)) % 12.22/12.42 (step @p22 :rule cong :premises (@p21) :args (@t27)) % 12.22/12.42 (step @p23 :rule eq_resolve :premises (@p11 @p22)) % 12.22/12.42 (step @p24 :rule instantiate :premises (@p23) :args (@t49)) % 12.22/12.42 (step @p25 :rule eq-symm :args (@t28 @t25)) % 12.22/12.42 (step @p26 :rule cong :premises (@p25) :args (@t29)) % 12.22/12.42 (step @p27 :rule eq_resolve :premises (@p12 @p26)) % 12.22/12.42 (step @p28 :rule instantiate :premises (@p27) :args (@t49)) % 12.22/12.42 (step @p29 :rule instantiate :premises (@p15) :args (@t50)) % 12.22/12.42 (step @p30 :rule instantiate :premises (@p17) :args (@t50)) % 12.22/12.42 (step @p31 :rule instantiate :premises (@p1) :args ((@list tptp.one @t52))) % 12.22/12.42 (step @p32 :rule instantiate :premises (@p1) :args ((@list @t54 @t53))) % 12.22/12.42 (step @p33 :rule instantiate :premises (@p8) :args ((@list @t48 tptp.one @t52))) % 12.22/12.42 (step @p34 :rule instantiate :premises (@p9) :args ((@list @t54 @t53 @t51))) % 12.22/12.42 (step @p35 :rule instantiate :premises (@p9) :args ((@list @t54 @t53 tptp.zero))) % 12.22/12.42 (step @p36 :rule instantiate :premises (@p27) :args (@t50)) % 12.22/12.42 (step @p37 :rule instantiate :premises (@p1) :args ((@list tptp.one @t55))) % 12.22/12.42 (step @p38 :rule instantiate :premises (@p5) :args ((@list @t48 @t51 @t56))) % 12.22/12.42 (step @p39 :rule eq-symm :args (@t58 @t59)) % 12.22/12.42 (step @p40 :rule refl :args (@t16)) % 12.22/12.42 (step @p41 :rule cong :premises (@p40 @p39) :args ((=> @t16 @t60))) % 12.22/12.42 (assume-push @p1417 @t16) % 12.22/12.42 (step @p43 :rule instantiate :premises (@p5) :args (@t61)) % 12.22/12.42 (step-pop @p1418 :rule scope :premises (@p43)) % 12.22/12.42 (step @p44 :rule process_scope :premises (@p1418) :args (@t60)) % 12.22/12.42 (step @p46 :rule eq_resolve :premises (@p44 @p41)) % 12.22/12.42 (step @p47 :rule implies_elim :premises (@p46)) % 12.22/12.42 (step @p48 :rule chain_m_resolution :premises (@p47 @p5) :args (@t62 @t63 @t64)) % 12.22/12.42 (step @p49 :rule eq-symm :args (@t66 @t67)) % 12.22/12.42 (step @p50 :rule cong :premises (@p40 @p49) :args ((=> @t16 @t68))) % 12.22/12.42 (assume-push @p1419 @t16) % 12.22/12.42 (step @p52 :rule instantiate :premises (@p5) :args (@t69)) % 12.22/12.42 (step-pop @p1420 :rule scope :premises (@p52)) % 12.22/12.42 (step @p53 :rule process_scope :premises (@p1420) :args (@t68)) % 12.22/12.42 (step @p55 :rule eq_resolve :premises (@p53 @p50)) % 12.22/12.42 (step @p56 :rule implies_elim :premises (@p55)) % 12.22/12.42 (step @p57 :rule chain_m_resolution :premises (@p56 @p5) :args (@t70 @t63 @t64)) % 12.22/12.42 (step @p58 :rule eq-symm :args (@t17 @t1)) % 12.22/12.42 (step @p59 :rule cong :premises (@p58) :args (@t18)) % 12.22/12.42 (step @p60 :rule eq_resolve :premises (@p6 @p59)) % 12.22/12.42 (step @p61 :rule instantiate :premises (@p60) :args (@t49)) % 12.22/12.42 (step @p62 :rule instantiate :premises (@p60) :args (@t71)) % 12.22/12.42 (step @p63 :rule eq-symm :args (@t19 @t1)) % 12.22/12.42 (step @p64 :rule cong :premises (@p63) :args (@t20)) % 12.22/12.42 (step @p65 :rule eq_resolve :premises (@p7 @p64)) % 12.22/12.42 (step @p66 :rule instantiate :premises (@p65) :args (@t49)) % 12.22/12.42 (step @p67 :rule instantiate :premises (@p8) :args ((@list @t53 @t52 tptp.one))) % 12.22/12.42 (step @p68 :rule instantiate :premises (@p9) :args ((@list @t53 @t54 tptp.one))) % 12.22/12.42 (step @p69 :rule instantiate :premises (@p9) :args ((@list @t72 @t67 @t51))) % 12.22/12.42 (step @p70 :rule instantiate :premises (@p9) :args ((@list tptp.one @t55 @t47))) % 12.22/12.42 (step @p71 :rule instantiate :premises (@p9) :args ((@list tptp.one @t55 tptp.one))) % 12.22/12.42 (step @p72 :rule instantiate :premises (@p1) :args ((@list tptp.one @t73))) % 12.22/12.42 (step @p73 :rule instantiate :premises (@p1) :args (@t75)) % 12.22/12.42 (step @p74 :rule instantiate :premises (@p1) :args ((@list @t76 tptp.zero))) % 12.22/12.42 (step @p75 :rule instantiate :premises (@p1) :args ((@list @t53 tptp.one))) % 12.22/12.42 (step @p76 :rule instantiate :premises (@p1) :args ((@list @t78 @t77))) % 12.22/12.42 (step @p77 :rule instantiate :premises (@p1) :args ((@list @t67 @t54))) % 12.22/12.42 (step @p78 :rule instantiate :premises (@p2) :args ((@list @t74 @t77 tptp.one))) % 12.22/12.42 (step @p79 :rule instantiate :premises (@p2) :args ((@list @t48 @t80 @t79))) % 12.22/12.42 (step @p80 :rule instantiate :premises (@p2) :args ((@list @t81 @t74 @t77))) % 12.22/12.42 (step @p81 :rule eq-symm :args (@t8 @t1)) % 12.22/12.42 (step @p82 :rule cong :premises (@p81) :args (@t10)) % 12.22/12.42 (step @p83 :rule eq_resolve :premises (@p3 @p82)) % 12.22/12.42 (step @p84 :rule instantiate :premises (@p83) :args ((@list @t76))) % 12.22/12.42 (step @p85 :rule eq-symm :args (@t11 @t1)) % 12.22/12.42 (step @p86 :rule cong :premises (@p85) :args (@t12)) % 12.22/12.42 (step @p87 :rule eq_resolve :premises (@p4 @p86)) % 12.22/12.42 (step @p88 :rule instantiate :premises (@p87) :args ((@list @t81))) % 12.22/12.42 (step @p89 :rule instantiate :premises (@p5) :args ((@list @t73 @t48 tptp.one))) % 12.22/12.42 (step @p90 :rule instantiate :premises (@p5) :args ((@list @t53 @t51 @t48))) % 12.22/12.42 (step @p91 :rule eq-symm :args (@t83 @t80)) % 12.22/12.42 (step @p92 :rule cong :premises (@p40 @p91) :args ((=> @t16 @t84))) % 12.22/12.42 (assume-push @p1421 @t16) % 12.22/12.42 (step @p94 :rule instantiate :premises (@p5) :args (@t85)) % 12.22/12.42 (step-pop @p1422 :rule scope :premises (@p94)) % 12.22/12.42 (step @p95 :rule process_scope :premises (@p1422) :args (@t84)) % 12.22/12.42 (step @p97 :rule eq_resolve :premises (@p95 @p92)) % 12.22/12.42 (step @p98 :rule implies_elim :premises (@p97)) % 12.22/12.42 (step @p99 :rule chain_m_resolution :premises (@p98 @p5) :args (@t86 @t63 @t64)) % 12.22/12.42 (step @p100 :rule eq-symm :args (@t88 @t89)) % 12.22/12.42 (step @p101 :rule cong :premises (@p40 @p100) :args ((=> @t16 @t90))) % 12.22/12.42 (assume-push @p1423 @t16) % 12.22/12.42 (step @p103 :rule instantiate :premises (@p5) :args (@t91)) % 12.22/12.42 (step-pop @p1424 :rule scope :premises (@p103)) % 12.22/12.42 (step @p104 :rule process_scope :premises (@p1424) :args (@t90)) % 12.22/12.42 (step @p106 :rule eq_resolve :premises (@p104 @p101)) % 12.22/12.42 (step @p107 :rule implies_elim :premises (@p106)) % 12.22/12.42 (step @p108 :rule chain_m_resolution :premises (@p107 @p5) :args (@t92 @t63 @t64)) % 12.22/12.42 (step @p109 :rule eq-symm :args (@t94 @t78)) % 12.22/12.42 (step @p110 :rule cong :premises (@p40 @p109) :args ((=> @t16 @t95))) % 12.22/12.42 (assume-push @p1425 @t16) % 12.22/12.42 (step @p112 :rule instantiate :premises (@p5) :args (@t96)) % 12.22/12.42 (step-pop @p1426 :rule scope :premises (@p112)) % 12.22/12.42 (step @p113 :rule process_scope :premises (@p1426) :args (@t95)) % 12.22/12.42 (step @p115 :rule eq_resolve :premises (@p113 @p110)) % 12.22/12.42 (step @p116 :rule implies_elim :premises (@p115)) % 12.22/12.42 (step @p117 :rule chain_m_resolution :premises (@p116 @p5) :args (@t97 @t63 @t64)) % 12.22/12.42 (step @p118 :rule instantiate :premises (@p60) :args (@t98)) % 12.22/12.42 (step @p119 :rule instantiate :premises (@p60) :args (@t50)) % 12.22/12.42 (step @p120 :rule instantiate :premises (@p60) :args ((@list @t53))) % 12.22/12.42 (step @p121 :rule instantiate :premises (@p65) :args (@t99)) % 12.22/12.42 (step @p122 :rule instantiate :premises (@p65) :args (@t71)) % 12.22/12.42 (step @p123 :rule instantiate :premises (@p8) :args ((@list tptp.one @t79 @t80))) % 12.22/12.42 (step @p124 :rule instantiate :premises (@p8) :args ((@list @t54 tptp.one tptp.zero))) % 12.22/12.42 (step @p125 :rule instantiate :premises (@p9) :args ((@list @t101 @t100 tptp.one))) % 12.22/12.42 (step @p126 :rule instantiate :premises (@p9) :args ((@list @t77 @t74 @t48))) % 12.22/12.42 (step @p127 :rule instantiate :premises (@p9) :args ((@list tptp.one @t76 @t48))) % 12.22/12.42 (step @p128 :rule eq-symm :args (@t103 @t104)) % 12.22/12.42 (step @p129 :rule refl :args (@t22)) % 12.22/12.42 (step @p130 :rule cong :premises (@p129 @p128) :args ((=> @t22 @t105))) % 12.22/12.42 (assume-push @p1427 @t22) % 12.22/12.42 (step @p132 :rule instantiate :premises (@p9) :args (@t106)) % 12.22/12.42 (step-pop @p1428 :rule scope :premises (@p132)) % 12.22/12.42 (step @p133 :rule process_scope :premises (@p1428) :args (@t105)) % 12.22/12.42 (step @p135 :rule eq_resolve :premises (@p133 @p130)) % 12.22/12.42 (step @p136 :rule implies_elim :premises (@p135)) % 12.22/12.42 (step @p137 :rule chain_m_resolution :premises (@p136 @p9) :args (@t107 @t63 (@list @t22))) % 12.22/12.42 (step @p138 :rule eq-symm :args (@t23 tptp.zero)) % 12.22/12.42 (step @p139 :rule cong :premises (@p138) :args (@t24)) % 12.22/12.42 (step @p140 :rule eq_resolve :premises (@p10 @p139)) % 12.22/12.42 (step @p141 :rule instantiate :premises (@p140) :args (@t108)) % 12.22/12.42 (step @p142 :rule instantiate :premises (@p140) :args (@t99)) % 12.22/12.42 (step @p143 :rule instantiate :premises (@p23) :args (@t99)) % 12.22/12.42 (step @p144 :rule instantiate :premises (@p27) :args (@t99)) % 12.22/12.42 (step @p145 :rule eq-symm :args (@t3 @t2)) % 12.22/12.42 (step @p146 :rule refl :args (@t38)) % 12.22/12.42 (step @p147 :rule cong :premises (@p146 @p145) :args (@t39)) % 12.22/12.42 (step @p148 :rule cong :premises (@p147) :args (@t40)) % 12.22/12.42 (step @p149 :rule eq_resolve :premises (@p18 @p148)) % 12.22/12.42 (step @p150 :rule instantiate :premises (@p149) :args (@t75)) % 12.22/12.42 (step @p151 :rule bool-impl-elim :args (@t32 @t30)) % 12.22/12.42 (step @p152 :rule cong :premises (@p151) :args (@t33)) % 12.22/12.42 (step @p153 :rule eq_resolve :premises (@p13 @p152)) % 12.22/12.42 (step @p154 :rule instantiate :premises (@p153) :args ((@list @t47 tptp.one @t48))) % 12.22/12.42 (step @p155 :rule instantiate :premises (@p149) :args ((@list @t110 @t48))) % 12.22/12.42 (step @p156 :rule symm :premises (@p61)) % 12.22/12.42 (step @p157 :rule trans :premises (@p156 @p29)) % 12.22/12.42 (step @p158 :rule cong :premises (@p157 @p156) :args (@t111)) % 12.22/12.42 (step @p159 :rule trans :premises (@p61 @p88 @p158)) % 12.22/12.42 (step @p160 :rule cnf_equiv_pos2 :args (@t115)) % 12.22/12.42 (step @p161 :rule reordering :premises (@p160) :args ((or @t114 (not @t113) (not @t115)))) % 12.22/12.42 (step @p162 :rule chain_m_resolution :premises (@p161 @p159 @p155) :args (@t114 @t116 (@list @t113 @t115))) % 12.22/12.42 (step @p163 :rule cnf_or_pos :args (@t119)) % 12.22/12.42 (step @p164 :rule reordering :premises (@p163) :args ((or @t118 @t117 (not @t119)))) % 12.22/12.42 (step @p165 :rule chain_m_resolution :premises (@p164 @p162 @p154) :args (@t117 @t116 (@list @t114 @t119))) % 12.22/12.42 (step @p166 :rule cnf_equiv_pos1 :args (@t122)) % 12.22/12.42 (step @p167 :rule reordering :premises (@p166) :args ((or (not @t117) @t121 (not @t122)))) % 12.22/12.42 (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p150) :args (@t121 @t116 (@list @t117 @t122))) % 12.22/12.42 (step @p169 :rule instantiate :premises (@p1) :args ((@list @t48 @t77))) % 12.22/12.42 (step @p170 :rule instantiate :premises (@p1) :args ((@list @t73 @t89))) % 12.22/12.42 (step @p171 :rule instantiate :premises (@p1) :args ((@list @t123 @t48))) % 12.22/12.42 (step @p172 :rule instantiate :premises (@p2) :args ((@list @t78 @t77 @t54))) % 12.22/12.42 (step @p173 :rule instantiate :premises (@p2) :args ((@list @t124 @t79 @t74))) % 12.22/12.42 (step @p174 :rule instantiate :premises (@p2) :args ((@list @t127 @t126 @t125))) % 12.22/12.42 (step @p175 :rule instantiate :premises (@p2) :args ((@list @t127 @t126 @t73))) % 12.22/12.42 (step @p176 :rule instantiate :premises (@p2) :args ((@list tptp.one @t48 @t53))) % 12.22/12.42 (step @p177 :rule instantiate :premises (@p2) :args ((@list @t89 @t74 @t128))) % 12.22/12.42 (step @p178 :rule instantiate :premises (@p2) :args ((@list @t74 @t124 @t79))) % 12.22/12.42 (step @p179 :rule instantiate :premises (@p2) :args ((@list @t89 @t48 @t53))) % 12.22/12.42 (step @p180 :rule instantiate :premises (@p83) :args (@t98)) % 12.22/12.42 (step @p181 :rule instantiate :premises (@p87) :args (@t98)) % 12.22/12.42 (step @p182 :rule instantiate :premises (@p5) :args ((@list tptp.one @t54 @t48))) % 12.22/12.42 (step @p183 :rule instantiate :premises (@p5) :args ((@list @t102 @t48 @t93))) % 12.22/12.42 (step @p184 :rule instantiate :premises (@p8) :args ((@list @t53 @t129 @t52))) % 12.22/12.42 (step @p185 :rule instantiate :premises (@p9) :args ((@list @t126 @t127 tptp.one))) % 12.22/12.42 (step @p186 :rule instantiate :premises (@p9) :args ((@list @t54 @t102 @t48))) % 12.22/12.42 (step @p187 :rule instantiate :premises (@p9) :args ((@list @t89 @t48 tptp.one))) % 12.22/12.42 (step @p188 :rule instantiate :premises (@p140) :args ((@list @t130))) % 12.22/12.42 (step @p189 :rule eq-symm :args (@t132 @t133)) % 12.22/12.42 (step @p190 :rule refl :args (@t5)) % 12.22/12.42 (step @p191 :rule cong :premises (@p190 @p189) :args ((=> @t5 @t134))) % 12.22/12.42 (assume-push @p1429 @t5) % 12.22/12.42 (step @p193 :rule instantiate :premises (@p1) :args ((@list @t131 tptp.one))) % 12.22/12.42 (step-pop @p1430 :rule scope :premises (@p193)) % 12.22/12.42 (step @p194 :rule process_scope :premises (@p1430) :args (@t134)) % 12.22/12.42 (step @p196 :rule eq_resolve :premises (@p194 @p191)) % 12.22/12.42 (step @p197 :rule implies_elim :premises (@p196)) % 12.22/12.42 (step @p198 :rule chain_m_resolution :premises (@p197 @p1) :args (@t135 @t63 (@list @t5))) % 12.22/12.42 (step @p199 :rule instantiate :premises (@p1) :args ((@list @t53 @t136))) % 12.22/12.42 (step @p200 :rule instantiate :premises (@p1) :args ((@list @t128 @t137))) % 12.22/12.42 (step @p201 :rule instantiate :premises (@p1) :args ((@list @t138 @t127))) % 12.22/12.42 (step @p202 :rule instantiate :premises (@p1) :args ((@list @t139 @t124))) % 12.22/12.42 (step @p203 :rule instantiate :premises (@p2) :args ((@list tptp.one tptp.one @t55))) % 12.22/12.42 (step @p204 :rule instantiate :premises (@p2) :args ((@list @t141 @t140 @t74))) % 12.22/12.42 (step @p205 :rule bool-impl-elim :args (@t35 @t34)) % 12.22/12.42 (step @p206 :rule cong :premises (@p205) :args (@t36)) % 12.22/12.42 (step @p207 :rule eq_resolve :premises (@p14 @p206)) % 12.22/12.42 (step @p208 :rule instantiate :premises (@p207) :args ((@list @t48 @t142 @t48))) % 12.22/12.42 (step @p209 :rule instantiate :premises (@p149) :args ((@list @t144 @t73))) % 12.22/12.42 (step @p210 :rule eq-symm :args (@t43 @t42)) % 12.22/12.42 (step @p211 :rule cong :premises (@p210) :args (@t45)) % 12.22/12.42 (step @p212 :rule cong :premises (@p211) :args (@t46)) % 12.22/12.42 (step @p213 :rule eq_resolve :premises (@p19 @p212)) % 12.22/12.42 (step @p214 :rule skolemize :premises (@p213)) % 12.22/12.42 (step @p215 :rule false_intro :premises (@p214)) % 12.22/12.42 (step @p216 :rule symm :premises (@p28)) % 12.22/12.42 (step @p217 :rule symm :premises (@p31)) % 12.22/12.42 (step @p218 :rule refl :args (tptp.one)) % 12.22/12.42 (step @p219 :rule refl :args (@t48)) % 12.22/12.42 (step @p220 :rule cong :premises (@p216 @p219) :args ((tptp.multiplication @t145 @t48))) % 12.22/12.42 (step @p221 :rule instantiate :premises (@p9) :args ((@list tptp.one @t52 @t48))) % 12.22/12.42 (step @p222 :rule symm :premises (@p221)) % 12.22/12.42 (step @p223 :rule trans :premises (@p222 @p220)) % 12.22/12.42 (step @p224 :rule cong :premises (@p223 @p218) :args ((tptp.addition @t146 tptp.one))) % 12.22/12.42 (step @p225 :rule instantiate :premises (@p2) :args ((@list tptp.one @t143 @t73))) % 12.22/12.42 (step @p226 :rule instantiate :premises (@p1) :args ((@list @t73 (tptp.addition @t143 tptp.one)))) % 12.22/12.42 (step @p227 :rule symm :premises (@p226)) % 12.22/12.42 (step @p228 :rule refl :args (@t73)) % 12.22/12.42 (step @p229 :rule instantiate :premises (@p1) :args ((@list @t143 tptp.one))) % 12.22/12.42 (step @p230 :rule symm :premises (@p229)) % 12.22/12.42 (step @p231 :rule cong :premises (@p230 @p228) :args (@t147)) % 12.22/12.42 (step @p232 :rule trans :premises (@p231 @p227 @p225 @p224 @p217 @p216)) % 12.22/12.42 (step @p233 :rule symm :premises (@p66)) % 12.22/12.42 (step @p234 :rule cong :premises (@p233 @p232) :args (@t148)) % 12.22/12.42 (step @p235 :rule trans :premises (@p234 @p215)) % 12.22/12.42 (step @p236 :rule false_elim :premises (@p235)) % 12.22/12.42 (step @p237 :rule cnf_equiv_pos1 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(step-pop @p1434 :rule scope :premises (@p243)) % 12.22/12.43 (step @p621 :rule process_scope :premises (@p1434) :args (@t222)) % 12.22/12.43 (step @p623 :rule eq_resolve :premises (@p621 @p619)) % 12.22/12.43 (step @p624 :rule implies_elim :premises (@p623)) % 12.22/12.43 (step @p625 :rule chain_m_resolution :premises (@p624 @p5) :args ((= @t143 @t153) @t63 @t64)) % 12.22/12.43 (step @p626 :rule cong :premises (@p218 @p625) :args ((tptp.multiplication tptp.one @t143))) % 12.22/12.43 (step @p627 :rule trans :premises (@p626 @p617 @p616 @p243 @p269 @p402 @p401 @p400)) % 12.22/12.43 (step @p628 :rule symm :premises (@p626)) % 12.22/12.43 (step @p629 :rule symm :premises (@p617)) % 12.22/12.43 (step @p630 :rule symm :premises (@p616)) % 12.22/12.43 (step @p631 :rule trans :premises (@p625 @p630 @p629 @p628)) % 12.22/12.43 (step @p632 :rule trans :premises (@p631 @p627)) % 12.22/12.43 (step @p633 :rule cong :premises (@p632 @p62) :args (@t223)) % 12.22/12.43 (step @p634 :rule trans 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(@p8) :args ((@list @t47 tptp.one @t55))) % 12.22/12.43 (step @p646 :rule symm :premises (@p645)) % 12.22/12.43 (step @p647 :rule instantiate :premises (@p5) :args ((@list @t47 @t54 @t47))) % 12.22/12.43 (step @p648 :rule symm :premises (@p647)) % 12.22/12.43 (step @p649 :rule cong :premises (@p607 @p358) :args ((tptp.multiplication @t47 @t79))) % 12.22/12.43 (step @p650 :rule symm :premises (@p649)) % 12.22/12.43 (step @p651 :rule instantiate :premises (@p65) :args (@t50)) % 12.22/12.43 (step @p652 :rule symm :premises (@p651)) % 12.22/12.43 (step @p653 :rule trans :premises (@p652 @p119 @p650)) % 12.22/12.43 (step @p654 :rule trans :premises (@p653 @p649)) % 12.22/12.43 (step @p655 :rule cong :premises (@p654 @p648) :args ((tptp.addition @t101 (tptp.multiplication @t224 @t47)))) % 12.22/12.43 (step @p656 :rule instantiate :premises (@p9) :args ((@list tptp.one @t224 @t47))) % 12.22/12.43 (step @p657 :rule symm :premises (@p119)) % 12.22/12.43 (step @p658 :rule instantiate :premises (@p23) :args (@t50)) % 12.22/12.43 (step @p659 :rule cong :premises (@p658 @p657) :args (@t83)) % 12.22/12.43 (step @p660 :rule cong :premises (@p593 @p119) :args ((tptp.multiplication @t216 @t47))) % 12.22/12.43 (step @p661 :rule instantiate :premises (@p5) :args ((@list tptp.one @t54 @t47))) % 12.22/12.43 (step @p662 :rule refl :args (@t55)) % 12.22/12.43 (step @p663 :rule cong :premises (@p358 @p662) :args (@t225)) % 12.22/12.43 (step @p664 :rule trans :premises (@p663 @p661 @p660 @p659 @p656 @p655 @p646 @p644)) % 12.22/12.43 (step @p665 :rule cong :premises (@p277 @p607) :args ((tptp.multiplication @t74 @t47))) % 12.22/12.43 (step @p666 :rule cong :premises (@p62 @p657) :args (@t83)) % 12.22/12.43 (step @p667 :rule trans :premises (@p99 @p666 @p665)) % 12.22/12.43 (step @p668 :rule cong :premises (@p118 @p667) :args (@t226)) % 12.22/12.43 (step @p669 :rule symm :premises (@p668)) % 12.22/12.43 (step @p670 :rule symm :premises (@p663)) % 12.22/12.43 (step @p671 :rule symm :premises 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12.22/12.43 (step @p965 :rule refl :args (@t331)) % 12.22/12.43 (step @p966 :rule refl :args (@t335)) % 12.22/12.43 (step @p967 :rule refl :args (@t337)) % 12.22/12.43 (step @p968 :rule refl :args (@t340)) % 12.22/12.43 (step @p969 :rule refl :args (@t342)) % 12.22/12.43 (step @p970 :rule refl :args (@t346)) % 12.22/12.43 (step @p971 :rule refl :args (@t349)) % 12.22/12.43 (step @p972 :rule refl :args (@t351)) % 12.22/12.43 (step @p973 :rule refl :args (@t353)) % 12.22/12.43 (step @p974 :rule refl :args (@t356)) % 12.22/12.43 (step @p975 :rule refl :args (@t359)) % 12.22/12.43 (step @p976 :rule refl :args (@t362)) % 12.22/12.43 (step @p977 :rule refl :args (@t364)) % 12.22/12.43 (step @p978 :rule refl :args (@t366)) % 12.22/12.43 (step @p979 :rule refl :args (@t368)) % 12.22/12.43 (step @p980 :rule refl :args (@t370)) % 12.22/12.43 (step @p981 :rule refl :args (@t371)) % 12.22/12.43 (step @p982 :rule refl :args (@t373)) % 12.22/12.43 (step @p983 :rule refl :args (@t376)) % 12.22/12.43 (step @p984 :rule refl :args (@t378)) % 12.22/12.43 (step @p985 :rule refl :args (@t381)) % 12.22/12.43 (step @p986 :rule refl :args (@t383)) % 12.22/12.43 (step @p987 :rule refl :args (@t385)) % 12.22/12.43 (step @p988 :rule refl :args (@t387)) % 12.22/12.43 (step @p989 :rule refl :args (@t389)) % 12.22/12.43 (step @p990 :rule refl :args (@t391)) % 12.22/12.43 (step @p991 :rule refl :args (@t393)) % 12.22/12.43 (step @p992 :rule refl :args (@t394)) % 12.22/12.43 (step @p993 :rule refl :args (@t395)) % 12.22/12.43 (step @p994 :rule refl :args (@t396)) % 12.22/12.43 (step @p995 :rule refl :args (@t398)) % 12.22/12.43 (step @p996 :rule refl :args (@t401)) % 12.22/12.43 (step @p997 :rule refl :args (@t403)) % 12.22/12.43 (step @p998 :rule refl :args (@t406)) % 12.22/12.43 (step @p999 :rule refl :args (@t408)) % 12.22/12.43 (step @p1000 :rule refl :args (@t410)) % 12.22/12.43 (step @p1001 :rule refl :args (@t412)) % 12.22/12.43 (step @p1002 :rule refl :args (@t416)) % 12.22/12.43 (step @p1003 :rule refl :args (@t418)) % 12.22/12.43 (step @p1004 :rule refl :args (@t420)) % 12.22/12.43 (step @p1005 :rule refl :args (@t422)) % 12.22/12.43 (step @p1006 :rule refl :args (@t424)) % 12.22/12.43 (step @p1007 :rule refl :args (@t426)) % 12.22/12.43 (step @p1008 :rule refl :args (@t427)) % 12.22/12.43 (step @p1009 :rule refl :args (@t429)) % 12.22/12.43 (step @p1010 :rule refl :args (@t431)) % 12.22/12.43 (step @p1011 :rule refl :args (@t433)) % 12.22/12.43 (step @p1012 :rule refl :args (@t435)) % 12.22/12.43 (step @p1013 :rule refl :args (@t437)) % 12.22/12.43 (step @p1014 :rule refl :args (@t439)) % 12.22/12.43 (step @p1015 :rule refl :args (@t441)) % 12.22/12.43 (step @p1016 :rule refl :args (@t443)) % 12.22/12.43 (step @p1017 :rule refl :args (@t444)) % 12.22/12.43 (step @p1018 :rule refl :args (@t445)) % 12.22/12.43 (step @p1019 :rule refl :args (@t447)) % 12.22/12.43 (step @p1020 :rule refl :args (@t449)) % 12.22/12.43 (step @p1021 :rule refl :args (@t451)) % 12.22/12.43 (step @p1022 :rule refl :args (@t453)) % 12.22/12.43 (step @p1023 :rule refl :args (@t455)) % 12.22/12.43 (step @p1024 :rule refl :args (@t457)) % 12.22/12.43 (step @p1025 :rule refl :args (@t459)) % 12.22/12.43 (step @p1026 :rule refl :args (@t461)) % 12.22/12.43 (step @p1027 :rule refl :args (@t463)) % 12.22/12.43 (step @p1028 :rule refl :args (@t465)) % 12.22/12.43 (step @p1029 :rule refl :args (@t467)) % 12.22/12.43 (step @p1030 :rule refl :args (@t469)) % 12.22/12.43 (step @p1031 :rule nary_cong :premises (@p1030 @p1029 @p1028 @p1027 @p1026 @p1025 @p1024 @p1023 @p1022 @p1021 @p1020 @p1019 @p1018 @p1017 @p1016 @p1015 @p1014 @p1013 @p1012 @p1011 @p1010 @p1009 @p1008 @p1007 @p1006 @p1005 @p1004 @p1003 @p1002 @p1001 @p1000 @p999 @p998 @p997 @p996 @p995 @p994 @p993 @p992 @p991 @p990 @p989 @p988 @p987 @p986 @p985 @p984 @p983 @p982 @p981 @p980 @p979 @p978 @p977 @p976 @p975 @p974 @p973 @p972 @p971 @p970 @p969 @p968 @p967 @p966 @p965 @p964 @p963 @p962 @p961 @p960 @p959 @p958 @p957 @p956 @p955 @p954 @p953 @p952 @p951 @p950 @p949 @p948) :args ((or @t469 @t467 @t465 @t463 @t461 @t459 @t457 @t455 @t453 @t451 @t449 @t447 @t445 @t444 @t443 @t441 @t439 @t437 @t435 @t433 @t431 @t429 @t427 @t426 @t424 @t422 @t420 @t418 @t416 @t412 @t410 @t408 @t406 @t403 @t401 @t398 @t396 @t395 @t394 @t393 @t391 @t389 @t387 @t385 @t383 @t381 @t378 @t376 @t373 @t371 @t370 @t368 @t366 @t364 @t362 @t359 @t356 @t353 @t351 @t349 @t346 @t342 @t340 @t337 @t335 @t331 @t328 @t326 @t323 @t320 @t317 @t314 @t310 @t305 @t303 @t302 @t298 @t294 @t291 @t288 @t285 (not @t246) @t280))) % 12.22/12.43 (assume-push @p1435 @t468) % 12.22/12.43 (assume-push @p1436 @t466) % 12.22/12.43 (assume-push @p1437 @t464) % 12.22/12.43 (assume-push @p1438 @t462) % 12.22/12.43 (assume-push @p1439 @t460) % 12.22/12.43 (assume-push @p1440 @t458) % 12.22/12.43 (assume-push @p1441 @t456) % 12.22/12.43 (assume-push @p1442 @t454) % 12.22/12.43 (assume-push @p1443 @t452) % 12.22/12.43 (assume-push @p1444 @t450) % 12.22/12.43 (assume-push @p1445 @t448) % 12.22/12.43 (assume-push @p1446 @t446) % 12.22/12.43 (assume-push @p1447 @t62) % 12.22/12.43 (assume-push @p1448 @t70) % 12.22/12.43 (assume-push @p1449 @t442) % 12.22/12.43 (assume-push @p1450 @t440) % 12.22/12.43 (assume-push @p1451 @t438) % 12.22/12.43 (assume-push @p1452 @t436) % 12.22/12.43 (assume-push @p1453 @t434) % 12.22/12.43 (assume-push @p1454 @t432) % 12.22/12.43 (assume-push @p1455 @t430) % 12.22/12.43 (assume-push @p1456 @t428) % 12.22/12.43 (assume-push @p1457 @t121) % 12.22/12.43 (assume-push @p1458 @t425) % 12.22/12.43 (assume-push @p1459 @t423) % 12.22/12.43 (assume-push @p1460 @t421) % 12.22/12.43 (assume-push @p1461 @t419) % 12.22/12.43 (assume-push @p1462 @t417) % 12.22/12.43 (assume-push @p1463 @t415) % 12.22/12.43 (assume-push @p1464 @t411) % 12.22/12.43 (assume-push @p1465 @t409) % 12.22/12.43 (assume-push @p1466 @t407) % 12.22/12.43 (assume-push @p1467 @t405) % 12.22/12.43 (assume-push @p1468 @t402) % 12.22/12.43 (assume-push @p1469 @t400) % 12.22/12.43 (assume-push @p1470 @t397) % 12.22/12.43 (assume-push @p1471 @t86) % 12.22/12.43 (assume-push @p1472 @t92) % 12.22/12.43 (assume-push @p1473 @t97) % 12.22/12.43 (assume-push @p1474 @t392) % 12.22/12.43 (assume-push @p1475 @t390) % 12.22/12.43 (assume-push @p1476 @t388) % 12.22/12.43 (assume-push @p1477 @t386) % 12.22/12.43 (assume-push @p1478 @t384) % 12.22/12.43 (assume-push @p1479 @t382) % 12.22/12.43 (assume-push @p1480 @t380) % 12.22/12.43 (assume-push @p1481 @t377) % 12.22/12.43 (assume-push @p1482 @t375) % 12.22/12.43 (assume-push @p1483 @t372) % 12.22/12.43 (assume-push @p1484 @t107) % 12.22/12.43 (assume-push @p1485 @t369) % 12.22/12.43 (assume-push @p1486 @t367) % 12.22/12.43 (assume-push @p1487 @t365) % 12.22/12.43 (assume-push @p1488 @t363) % 12.22/12.43 (assume-push @p1489 @t361) % 12.22/12.43 (assume-push @p1490 @t358) % 12.22/12.43 (assume-push @p1491 @t355) % 12.22/12.43 (assume-push @p1492 @t352) % 12.22/12.43 (assume-push @p1493 @t350) % 12.22/12.43 (assume-push @p1494 @t348) % 12.22/12.43 (assume-push @p1495 @t345) % 12.22/12.43 (assume-push @p1496 @t341) % 12.22/12.43 (assume-push @p1497 @t339) % 12.22/12.43 (assume-push @p1498 @t336) % 12.22/12.43 (assume-push @p1499 @t334) % 12.22/12.43 (assume-push @p1500 @t330) % 12.22/12.43 (assume-push @p1501 @t327) % 12.22/12.43 (assume-push @p1502 @t325) % 12.22/12.43 (assume-push @p1503 @t322) % 12.22/12.43 (assume-push @p1504 @t319) % 12.22/12.43 (assume-push @p1505 @t316) % 12.22/12.43 (assume-push @p1506 @t313) % 12.22/12.43 (assume-push @p1507 @t309) % 12.22/12.43 (assume-push @p1508 @t304) % 12.22/12.43 (assume-push @p1509 @t135) % 12.22/12.43 (assume-push @p1510 @t301) % 12.22/12.43 (assume-push @p1511 @t297) % 12.22/12.43 (assume-push @p1512 @t293) % 12.22/12.43 (assume-push @p1513 @t290) % 12.22/12.43 (assume-push @p1514 @t287) % 12.22/12.43 (assume-push @p1515 @t284) % 12.22/12.43 (assume-push @p1516 @t246) % 12.22/12.43 (step @p1114 :rule false_intro :premises (@p797)) % 12.22/12.43 (step @p1115 :rule symm :premises (@p75)) % 12.22/12.43 (step @p1116 :rule cong :premises (@p615 @p1115) :args (@t470)) % 12.22/12.43 (step @p1117 :rule cong :premises (@p1116 @p219) :args ((tptp.leq @t470 @t48))) % 12.22/12.43 (step @p1118 :rule symm :premises (@p1116)) % 12.22/12.43 (step @p1119 :rule cong :premises (@p218 @p308) :args (@t128)) % 12.22/12.43 (step @p1120 :rule trans :premises (@p1119 @p1115)) % 12.22/12.43 (step @p1121 :rule cong :premises (@p219 @p233) :args ((tptp.multiplication @t48 @t73))) % 12.22/12.43 (step @p1122 :rule symm :premises (@p1121)) % 12.22/12.43 (step @p1123 :rule cong :premises (@p319 @p219) :args (@t374)) % 12.22/12.43 (step @p1124 :rule symm :premises (@p126)) % 12.22/12.43 (step @p1125 :rule cong :premises (@p62 @p219) :args (@t123)) % 12.22/12.43 (step @p1126 :rule cong :premises (@p593 @p219) :args (@t324)) % 12.22/12.43 (step @p1127 :rule symm :premises (@p1125)) % 12.22/12.43 (step @p1128 :rule cong :premises (@p358 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scope :premises (@p1524)) % 12.22/12.43 (step-pop @p1526 :rule scope :premises (@p1525)) % 12.22/12.43 (step-pop @p1527 :rule scope :premises (@p1526)) % 12.22/12.43 (step-pop @p1528 :rule scope :premises (@p1527)) % 12.22/12.43 (step-pop @p1529 :rule scope :premises (@p1528)) % 12.22/12.43 (step-pop @p1530 :rule scope :premises (@p1529)) % 12.22/12.43 (step-pop @p1531 :rule scope :premises (@p1530)) % 12.22/12.43 (step-pop @p1532 :rule scope :premises (@p1531)) % 12.22/12.43 (step-pop @p1533 :rule scope :premises (@p1532)) % 12.22/12.43 (step-pop @p1534 :rule scope :premises (@p1533)) % 12.22/12.43 (step-pop @p1535 :rule scope :premises (@p1534)) % 12.22/12.43 (step-pop @p1536 :rule scope :premises (@p1535)) % 12.22/12.43 (step-pop @p1537 :rule scope :premises (@p1536)) % 12.22/12.43 (step-pop @p1538 :rule scope :premises (@p1537)) % 12.22/12.43 (step-pop @p1539 :rule scope :premises (@p1538)) % 12.22/12.43 (step-pop @p1540 :rule scope :premises (@p1539)) % 12.22/12.43 (step-pop 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(step-pop @p1557 :rule scope :premises (@p1556)) % 12.22/12.43 (step-pop @p1558 :rule scope :premises (@p1557)) % 12.22/12.43 (step-pop @p1559 :rule scope :premises (@p1558)) % 12.22/12.43 (step-pop @p1560 :rule scope :premises (@p1559)) % 12.22/12.43 (step-pop @p1561 :rule scope :premises (@p1560)) % 12.22/12.43 (step-pop @p1562 :rule scope :premises (@p1561)) % 12.22/12.43 (step-pop @p1563 :rule scope :premises (@p1562)) % 12.22/12.43 (step-pop @p1564 :rule scope :premises (@p1563)) % 12.22/12.43 (step-pop @p1565 :rule scope :premises (@p1564)) % 12.22/12.43 (step-pop @p1566 :rule scope :premises (@p1565)) % 12.22/12.43 (step-pop @p1567 :rule scope :premises (@p1566)) % 12.22/12.43 (step-pop @p1568 :rule scope :premises (@p1567)) % 12.22/12.43 (step-pop @p1569 :rule scope :premises (@p1568)) % 12.22/12.43 (step-pop @p1570 :rule scope :premises (@p1569)) % 12.22/12.43 (step-pop @p1571 :rule scope :premises (@p1570)) % 12.22/12.43 (step-pop @p1572 :rule scope :premises (@p1571)) % 12.22/12.43 (step-pop @p1573 :rule scope :premises (@p1572)) % 12.22/12.43 (step-pop @p1574 :rule scope :premises (@p1573)) % 12.22/12.43 (step-pop @p1575 :rule scope :premises (@p1574)) % 12.22/12.43 (step-pop @p1576 :rule scope :premises (@p1575)) % 12.22/12.43 (step-pop @p1577 :rule scope :premises (@p1576)) % 12.22/12.43 (step-pop @p1578 :rule scope :premises (@p1577)) % 12.22/12.43 (step-pop @p1579 :rule scope :premises (@p1578)) % 12.22/12.43 (step-pop @p1580 :rule scope :premises (@p1579)) % 12.22/12.43 (step-pop @p1581 :rule scope :premises (@p1580)) % 12.22/12.43 (step-pop @p1582 :rule scope :premises (@p1581)) % 12.22/12.43 (step-pop @p1583 :rule scope :premises (@p1582)) % 12.22/12.43 (step-pop @p1584 :rule scope :premises (@p1583)) % 12.22/12.43 (step-pop @p1585 :rule scope :premises (@p1584)) % 12.22/12.43 (step-pop @p1586 :rule scope :premises (@p1585)) % 12.22/12.43 (step-pop @p1587 :rule scope :premises (@p1586)) % 12.22/12.43 (step-pop @p1588 :rule scope :premises (@p1587)) % 12.22/12.43 (step-pop @p1589 :rule scope :premises (@p1588)) % 12.22/12.43 (step-pop @p1590 :rule scope :premises (@p1589)) % 12.22/12.43 (step-pop @p1591 :rule scope :premises (@p1590)) % 12.22/12.43 (step-pop @p1592 :rule scope :premises (@p1591)) % 12.22/12.43 (step-pop @p1593 :rule scope :premises (@p1592)) % 12.22/12.43 (step-pop @p1594 :rule scope :premises (@p1593)) % 12.22/12.43 (step-pop @p1595 :rule scope :premises (@p1594)) % 12.22/12.43 (step-pop @p1596 :rule scope :premises (@p1595)) % 12.22/12.43 (step-pop @p1597 :rule scope :premises (@p1596)) % 12.22/12.43 (step-pop @p1598 :rule scope :premises (@p1597)) % 12.22/12.43 (step @p1328 :rule process_scope :premises (@p1598) :args (@t280)) % 12.22/12.43 (step @p1411 :rule implies_elim :premises (@p1328)) % 12.22/12.43 (step @p1412 :rule cnf_and_neg :args (@t480)) % 12.22/12.43 (step @p1413 :rule resolution :premises (@p1412 @p1411) :args (true @t480)) % 12.22/12.43 (step @p1414 :rule eq_resolve :premises (@p1413 @p1031)) % 12.22/12.43 (step @p1415 :rule reordering :premises (@p1414) :args ((or @t469 @t467 @t465 @t463 @t461 @t459 @t457 @t455 @t453 @t451 @t449 @t447 @t445 @t444 @t443 @t441 @t439 @t437 @t435 @t433 @t431 @t429 @t427 @t426 @t424 @t422 @t420 @t418 @t416 @t412 @t410 @t408 @t406 @t403 @t401 @t398 @t396 @t395 @t394 @t393 @t391 @t389 @t387 @t385 @t383 @t381 @t378 @t376 @t373 @t371 @t370 @t368 @t366 @t364 @t362 @t359 @t356 @t353 @t351 @t349 @t346 @t342 @t340 @t337 @t335 @t331 @t328 @t326 @t323 @t320 @t317 @t314 @t310 @t305 @t280 @t245 @t303 @t302 @t298 @t294 @t291 @t288 @t285))) % 12.22/12.43 (step @p1416 false :rule chain_m_resolution :premises (@p1415 @p947 @p797 @p204 @p203 @p202 @p201 @p200 @p199 @p198 @p188 @p187 @p186 @p185 @p184 @p183 @p182 @p181 @p180 @p179 @p178 @p177 @p176 @p175 @p174 @p173 @p172 @p171 @p170 @p169 @p168 @p144 @p143 @p142 @p141 @p137 @p127 @p126 @p125 @p124 @p123 @p122 @p121 @p120 @p119 @p118 @p117 @p108 @p99 @p90 @p89 @p88 @p84 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p71 @p70 @p69 @p68 @p67 @p66 @p62 @p61 @p57 @p48 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p24) :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 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 @t277 @t245 @t284 @t287 @t290 @t293 @t297 @t301 @t135 @t304 @t309 @t313 @t316 @t319 @t322 @t325 @t327 @t330 @t334 @t336 @t339 @t341 @t345 @t348 @t350 @t352 @t355 @t358 @t361 @t121 @t363 @t365 @t367 @t369 @t107 @t372 @t375 @t377 @t380 @t382 @t384 @t386 @t388 @t390 @t392 @t97 @t92 @t86 @t397 @t400 @t402 @t405 @t407 @t409 @t411 @t415 @t417 @t419 @t421 @t423 @t425 @t428 @t430 @t432 @t434 @t436 @t438 @t440 @t442 @t70 @t62 @t446 @t448 @t450 @t452 @t454 @t456 @t458 @t460 @t462 @t464 @t466 @t468))) % 12.22/12.45 ) % 12.22/12.45 % SZS output end Proof % 12.22/12.45 % cvc5 exiting %------------------------------------------------------------------------------