%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE142+2 : 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 : n019.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 29.53s 29.70s % Output : Proof 29.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE142+2 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n019.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 05:20:04 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 29.53/29.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 29.53/29.70 --- Run --no-e-matching --full-saturate-quant at 6... % 29.53/29.70 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 29.53/29.70 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 29.53/29.70 % SZS status Theorem % 29.53/29.70 % SZS output start Proof % 29.53/29.70 ( % 29.53/29.70 (declare-sort $$unsorted 0) % 29.53/29.70 (declare-const tptp.strong_iteration (-> $$unsorted $$unsorted)) % 29.53/29.70 (declare-const tptp.star (-> $$unsorted $$unsorted)) % 29.53/29.70 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 29.53/29.70 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 29.53/29.70 (declare-const tptp.zero $$unsorted) % 29.53/29.70 (declare-const tptp.one $$unsorted) % 29.53/29.70 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 29.53/29.70 (define @t1 () (@var "A" $$unsorted)) % 29.53/29.70 (define @t2 () (@var "B" $$unsorted)) % 29.53/29.70 (define @t3 () (tptp.addition @t1 @t2)) % 29.53/29.70 (define @t4 () (@list @t1 @t2)) % 29.53/29.70 (define @t5 () (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 29.53/29.70 (define @t6 () (@var "C" $$unsorted)) % 29.53/29.70 (define @t7 () (tptp.addition @t2 @t6)) % 29.53/29.70 (define @t8 () (tptp.addition @t1 tptp.zero)) % 29.53/29.70 (define @t9 () (@list @t1)) % 29.53/29.70 (define @t10 () (forall @t9 (= @t8 @t1))) % 29.53/29.70 (define @t11 () (tptp.addition @t1 @t1)) % 29.53/29.70 (define @t12 () (forall @t9 (= @t11 @t1))) % 29.53/29.70 (define @t13 () (tptp.multiplication @t1 @t2)) % 29.53/29.70 (define @t14 () (tptp.multiplication @t2 @t6)) % 29.53/29.70 (define @t15 () (@list @t1 @t2 @t6)) % 29.53/29.70 (define @t16 () (tptp.multiplication @t1 tptp.one)) % 29.53/29.70 (define @t17 () (forall @t9 (= @t16 @t1))) % 29.53/29.70 (define @t18 () (tptp.multiplication tptp.one @t1)) % 29.53/29.70 (define @t19 () (forall @t9 (= @t18 @t1))) % 29.53/29.70 (define @t20 () (tptp.multiplication @t1 @t6)) % 29.53/29.70 (define @t21 () (tptp.multiplication tptp.zero @t1)) % 29.53/29.70 (define @t22 () (forall @t9 (= @t21 tptp.zero))) % 29.53/29.70 (define @t23 () (tptp.star @t1)) % 29.53/29.70 (define @t24 () (tptp.addition @t20 @t2)) % 29.53/29.70 (define @t25 () (tptp.strong_iteration @t1)) % 29.53/29.70 (define @t26 () (tptp.leq @t6 (tptp.multiplication @t25 @t2))) % 29.53/29.70 (define @t27 () (tptp.leq @t6 @t24)) % 29.53/29.70 (define @t28 () (forall @t15 (=> @t27 @t26))) % 29.53/29.70 (define @t29 () (tptp.leq @t1 @t2)) % 29.53/29.70 (define @t30 () (= @t29 (= @t3 @t2))) % 29.53/29.70 (define @t31 () (forall @t4 @t30)) % 29.53/29.70 (define @t32 () (@var "X0" $$unsorted)) % 29.53/29.70 (define @t33 () (tptp.strong_iteration (tptp.strong_iteration @t32))) % 29.53/29.70 (define @t34 () (tptp.strong_iteration tptp.one)) % 29.53/29.70 (define @t35 () (tptp.leq @t34 @t33)) % 29.53/29.70 (define @t36 () (tptp.leq @t33 @t34)) % 29.53/29.70 (define @t37 () (@list @t32)) % 29.53/29.70 (define @t38 () (forall @t37 (and @t36 @t35))) % 29.53/29.70 (define @t39 () (not @t38)) % 29.53/29.70 (define @t40 () (@list tptp.one)) % 29.53/29.70 (define @t41 () (@var "BOUND_VARIABLE_7550" $$unsorted)) % 29.53/29.70 (define @t42 () (forall (@list @t41) (tptp.leq (tptp.strong_iteration (tptp.strong_iteration @t41)) @t34))) % 29.53/29.70 (define @t43 () (@quantifiers_skolemize @t42 0)) % 29.53/29.70 (define @t44 () (tptp.strong_iteration @t43)) % 29.53/29.70 (define @t45 () (tptp.multiplication @t43 @t44)) % 29.53/29.70 (define @t46 () (@list @t44)) % 29.53/29.70 (define @t47 () (@list @t34)) % 29.53/29.70 (define @t48 () (tptp.strong_iteration @t44)) % 29.53/29.70 (define @t49 () (@list @t48)) % 29.53/29.70 (define @t50 () (tptp.multiplication @t44 @t48)) % 29.53/29.70 (define @t51 () (tptp.addition tptp.one @t48)) % 29.53/29.70 (define @t52 () (tptp.addition @t48 tptp.one)) % 29.53/29.70 (define @t53 () (= @t51 @t52)) % 29.53/29.70 (define @t54 () (@list tptp.one @t48)) % 29.53/29.70 (define @t55 () (= @t52 @t51)) % 29.53/29.70 (define @t56 () (@list false)) % 29.53/29.70 (define @t57 () (= @t48 (tptp.addition @t48 @t48))) % 29.53/29.70 (define @t58 () (tptp.leq @t48 @t48)) % 29.53/29.70 (define @t59 () (= @t58 @t57)) % 29.53/29.70 (define @t60 () (@list false false)) % 29.53/29.70 (define @t61 () (tptp.addition tptp.one tptp.one)) % 29.53/29.70 (define @t62 () (tptp.addition @t50 @t61)) % 29.53/29.70 (define @t63 () (tptp.multiplication tptp.one @t48)) % 29.53/29.70 (define @t64 () (tptp.addition @t63 tptp.one)) % 29.53/29.70 (define @t65 () (tptp.leq @t48 @t64)) % 29.53/29.70 (define @t66 () (tptp.multiplication @t34 tptp.one)) % 29.53/29.70 (define @t67 () (tptp.leq @t48 @t66)) % 29.53/29.70 (define @t68 () (not @t65)) % 29.53/29.70 (define @t69 () (or @t68 @t67)) % 29.53/29.70 (define @t70 () (tptp.leq @t48 @t34)) % 29.53/29.70 (define @t71 () (tptp.addition @t48 @t34)) % 29.53/29.70 (define @t72 () (= @t34 @t71)) % 29.53/29.70 (define @t73 () (= @t70 @t72)) % 29.53/29.70 (define @t74 () (not @t70)) % 29.53/29.70 (define @t75 () (@var "BOUND_VARIABLE_7557" $$unsorted)) % 29.53/29.70 (define @t76 () (forall (@list @t75) (tptp.leq @t34 (tptp.strong_iteration (tptp.strong_iteration @t75))))) % 29.53/29.70 (define @t77 () (@quantifiers_skolemize @t76 0)) % 29.53/29.70 (define @t78 () (@list @t77)) % 29.53/29.70 (define @t79 () (tptp.multiplication @t34 tptp.zero)) % 29.53/29.70 (define @t80 () (tptp.addition @t63 tptp.zero)) % 29.53/29.70 (define @t81 () (tptp.leq @t48 @t80)) % 29.53/29.70 (define @t82 () (tptp.leq @t48 @t79)) % 29.53/29.70 (define @t83 () (not @t81)) % 29.53/29.70 (define @t84 () (or @t83 @t82)) % 29.53/29.70 (define @t85 () (tptp.addition @t48 @t79)) % 29.53/29.70 (define @t86 () (= @t79 @t85)) % 29.53/29.70 (define @t87 () (= @t82 @t86)) % 29.53/29.70 (define @t88 () (tptp.multiplication tptp.one tptp.one)) % 29.53/29.70 (define @t89 () (@list @t79 @t48 @t88)) % 29.53/29.70 (define @t90 () (tptp.addition @t45 tptp.one)) % 29.53/29.70 (define @t91 () (tptp.multiplication @t48 tptp.zero)) % 29.53/29.70 (define @t92 () (tptp.multiplication @t44 @t44)) % 29.53/29.70 (define @t93 () (tptp.addition @t92 tptp.zero)) % 29.53/29.70 (define @t94 () (tptp.multiplication @t90 @t44)) % 29.53/29.70 (define @t95 () (tptp.multiplication tptp.one @t44)) % 29.53/29.70 (define @t96 () (= @t93 (tptp.addition @t44 @t93))) % 29.53/29.70 (define @t97 () (tptp.leq @t44 @t93)) % 29.53/29.70 (define @t98 () (= @t97 @t96)) % 29.53/29.70 (define @t99 () (tptp.leq @t44 @t91)) % 29.53/29.70 (define @t100 () (not @t97)) % 29.53/29.70 (define @t101 () (or @t100 @t99)) % 29.53/29.70 (define @t102 () (tptp.addition @t44 @t91)) % 29.53/29.70 (define @t103 () (= @t91 @t102)) % 29.53/29.70 (define @t104 () (= @t99 @t103)) % 29.53/29.70 (define @t105 () (tptp.multiplication tptp.one tptp.zero)) % 29.53/29.70 (define @t106 () (tptp.multiplication @t48 @t105)) % 29.53/29.70 (define @t107 () (tptp.multiplication @t48 @t88)) % 29.53/29.70 (define @t108 () (tptp.strong_iteration @t77)) % 29.53/29.70 (define @t109 () (tptp.multiplication @t77 @t108)) % 29.53/29.70 (define @t110 () (tptp.addition @t109 tptp.one)) % 29.53/29.70 (define @t111 () (@list @t110 tptp.one @t48)) % 29.53/29.70 (define @t112 () (tptp.multiplication @t110 @t48)) % 29.53/29.70 (define @t113 () (tptp.addition @t112 tptp.zero)) % 29.53/29.70 (define @t114 () (= @t113 (tptp.addition @t48 @t113))) % 29.53/29.70 (define @t115 () (tptp.leq @t48 @t113)) % 29.53/29.70 (define @t116 () (= @t115 @t114)) % 29.53/29.70 (define @t117 () (tptp.addition @t112 tptp.one)) % 29.53/29.70 (define @t118 () (tptp.leq @t48 @t117)) % 29.53/29.70 (define @t119 () (tptp.leq @t48 (tptp.multiplication (tptp.strong_iteration @t110) tptp.one))) % 29.53/29.70 (define @t120 () (not @t118)) % 29.53/29.70 (define @t121 () (or @t120 @t119)) % 29.53/29.70 (define @t122 () (tptp.strong_iteration @t108)) % 29.53/29.70 (define @t123 () (not @t42)) % 29.53/29.70 (define @t124 () (forall @t37 @t35)) % 29.53/29.70 (define @t125 () (@list @t32)) % 29.53/29.70 (define @t126 () (forall @t37 @t36)) % 29.53/29.70 (define @t127 () (and @t126 @t124)) % 29.53/29.70 (define @t128 () (not @t76)) % 29.53/29.70 (define @t129 () (tptp.leq @t34 @t122)) % 29.53/29.70 (define @t130 () (not @t129)) % 29.53/29.70 (define @t131 () (tptp.multiplication tptp.one @t34)) % 29.53/29.70 (define @t132 () (= @t34 @t131)) % 29.53/29.70 (define @t133 () (not @t132)) % 29.53/29.70 (define @t134 () (tptp.multiplication @t48 @t34)) % 29.53/29.70 (define @t135 () (tptp.multiplication @t51 @t34)) % 29.53/29.70 (define @t136 () (= @t135 (tptp.addition @t131 @t134))) % 29.53/29.70 (define @t137 () (not @t136)) % 29.53/29.70 (define @t138 () (tptp.addition @t48 @t66)) % 29.53/29.70 (define @t139 () (tptp.addition @t66 @t48)) % 29.53/29.70 (define @t140 () (= @t139 @t138)) % 29.53/29.70 (define @t141 () (not @t140)) % 29.53/29.70 (define @t142 () (tptp.multiplication @t79 @t34)) % 29.53/29.70 (define @t143 () (tptp.multiplication tptp.zero @t34)) % 29.53/29.70 (define @t144 () (tptp.multiplication @t34 @t143)) % 29.53/29.70 (define @t145 () (= @t144 @t142)) % 29.53/29.70 (define @t146 () (not @t145)) % 29.53/29.70 (define @t147 () (= tptp.zero @t143)) % 29.53/29.70 (define @t148 () (not @t147)) % 29.53/29.70 (define @t149 () (not @t119)) % 29.53/29.70 (define @t150 () (tptp.multiplication @t122 tptp.one)) % 29.53/29.70 (define @t151 () (= @t122 @t150)) % 29.53/29.70 (define @t152 () (not @t151)) % 29.53/29.70 (define @t153 () (= @t108 @t110)) % 29.53/29.70 (define @t154 () (not @t153)) % 29.53/29.70 (define @t155 () (tptp.addition (tptp.star tptp.one) @t79)) % 29.53/29.70 (define @t156 () (tptp.multiplication @t155 tptp.zero)) % 29.53/29.70 (define @t157 () (= @t48 @t156)) % 29.53/29.70 (define @t158 () (not @t157)) % 29.53/29.70 (define @t159 () (not @t55)) % 29.53/29.70 (define @t160 () (tptp.addition @t50 tptp.one)) % 29.53/29.70 (define @t161 () (tptp.addition @t160 tptp.one)) % 29.53/29.70 (define @t162 () (= @t62 @t161)) % 29.53/29.70 (define @t163 () (not @t162)) % 29.53/29.70 (define @t164 () (= @t48 @t160)) % 29.53/29.70 (define @t165 () (not @t164)) % 29.53/29.70 (define @t166 () (= @t34 @t66)) % 29.53/29.70 (define @t167 () (not @t166)) % 29.53/29.70 (define @t168 () (not @t72)) % 29.53/29.70 (define @t169 () (= @t34 @t155)) % 29.53/29.70 (define @t170 () (not @t169)) % 29.53/29.70 (define @t171 () (tptp.multiplication tptp.zero tptp.one)) % 29.53/29.70 (define @t172 () (= tptp.zero @t171)) % 29.53/29.70 (define @t173 () (not @t172)) % 29.53/29.70 (define @t174 () (= tptp.one @t61)) % 29.53/29.70 (define @t175 () (not @t174)) % 29.53/29.70 (define @t176 () (and @t119 @t157 @t169 @t147 @t145 @t172 @t164 @t174 @t162 @t55 @t136 @t166 @t132 @t140 @t72 @t153 @t151 @t130)) % 29.53/29.70 (define @t177 () (tptp.addition @t88 @t79)) % 29.53/29.70 (define @t178 () (= @t48 @t177)) % 29.53/29.70 (define @t179 () (not @t178)) % 29.53/29.70 (define @t180 () (tptp.addition @t88 @t48)) % 29.53/29.70 (define @t181 () (tptp.addition @t180 @t79)) % 29.53/29.70 (define @t182 () (tptp.addition @t88 @t85)) % 29.53/29.70 (define @t183 () (= @t182 @t181)) % 29.53/29.70 (define @t184 () (not @t183)) % 29.53/29.70 (define @t185 () (not @t86)) % 29.53/29.70 (define @t186 () (= tptp.one @t88)) % 29.53/29.70 (define @t187 () (not @t186)) % 29.53/29.70 (define @t188 () (and @t174 @t186 @t169 @t164 @t162 @t55 @t158 @t86 @t183)) % 29.53/29.70 (define @t189 () (tptp.multiplication @t79 @t44)) % 29.53/29.70 (define @t190 () (tptp.multiplication @t88 @t44)) % 29.53/29.70 (define @t191 () (tptp.addition tptp.one tptp.zero)) % 29.53/29.70 (define @t192 () (= tptp.one @t191)) % 29.53/29.70 (define @t193 () (= tptp.zero @t105)) % 29.53/29.70 (define @t194 () (= @t44 @t90)) % 29.53/29.70 (define @t195 () (tptp.addition @t90 tptp.one)) % 29.53/29.70 (define @t196 () (= (tptp.addition @t45 @t61) @t195)) % 29.53/29.70 (define @t197 () (tptp.multiplication tptp.zero @t44)) % 29.53/29.70 (define @t198 () (= tptp.zero @t197)) % 29.53/29.70 (define @t199 () (= @t44 @t95)) % 29.53/29.70 (define @t200 () (tptp.multiplication @t34 @t197)) % 29.53/29.70 (define @t201 () (= @t200 @t189)) % 29.53/29.70 (define @t202 () (= @t191 (tptp.addition tptp.zero tptp.one))) % 29.53/29.70 (define @t203 () (= @t48 (tptp.multiplication @t48 tptp.one))) % 29.53/29.70 (define @t204 () (tptp.multiplication tptp.zero @t77)) % 29.53/29.70 (define @t205 () (= tptp.zero @t204)) % 29.53/29.70 (define @t206 () (tptp.multiplication @t79 @t77)) % 29.53/29.70 (define @t207 () (tptp.multiplication @t34 @t204)) % 29.53/29.70 (define @t208 () (= @t207 @t206)) % 29.53/29.70 (define @t209 () (tptp.addition @t66 @t79)) % 29.53/29.70 (define @t210 () (= (tptp.multiplication @t34 @t191) @t209)) % 29.53/29.70 (define @t211 () (tptp.multiplication tptp.one @t79)) % 29.53/29.70 (define @t212 () (= @t79 @t211)) % 29.53/29.70 (define @t213 () (tptp.multiplication @t90 @t79)) % 29.53/29.70 (define @t214 () (tptp.addition @t213 @t211)) % 29.53/29.70 (define @t215 () (= (tptp.multiplication @t195 @t79) @t214)) % 29.53/29.70 (define @t216 () (tptp.multiplication @t91 @t34)) % 29.53/29.70 (define @t217 () (tptp.multiplication @t48 @t143)) % 29.53/29.70 (define @t218 () (= @t217 @t216)) % 29.53/29.70 (define @t219 () (tptp.multiplication @t44 @t34)) % 29.53/29.70 (define @t220 () (tptp.addition @t219 @t216)) % 29.53/29.70 (define @t221 () (= (tptp.multiplication @t102 @t34) @t220)) % 29.53/29.70 (define @t222 () (tptp.addition @t106 @t107)) % 29.53/29.70 (define @t223 () (tptp.addition @t105 @t88)) % 29.53/29.70 (define @t224 () (tptp.multiplication @t48 @t223)) % 29.53/29.70 (define @t225 () (= @t224 @t222)) % 29.53/29.70 (define @t226 () (tptp.addition @t66 @t222)) % 29.53/29.70 (define @t227 () (= @t226 (tptp.addition (tptp.addition @t66 @t106) @t107))) % 29.53/29.70 (define @t228 () (tptp.multiplication @t177 @t34)) % 29.53/29.70 (define @t229 () (= @t228 (tptp.addition (tptp.multiplication @t88 @t34) @t142))) % 29.53/29.70 (define @t230 () (tptp.addition @t190 @t189)) % 29.53/29.70 (define @t231 () (tptp.multiplication @t177 @t44)) % 29.53/29.70 (define @t232 () (= @t231 @t230)) % 29.53/29.70 (define @t233 () (tptp.multiplication @t230 @t79)) % 29.53/29.70 (define @t234 () (= @t233 (tptp.addition (tptp.multiplication @t190 @t79) (tptp.multiplication @t189 @t79)))) % 29.53/29.70 (define @t235 () (tptp.multiplication @t44 @t79)) % 29.53/29.70 (define @t236 () (and @t192 @t174 @t186 @t193 @t194 @t196 @t72 @t198 @t199 @t166 @t201 @t202 @t203 @t164 @t162 @t55 @t205 @t208 @t86 @t210 @t183 @t147 @t145 @t212 @t140 @t215 @t103 @t218 @t221 @t225 @t227 @t132 @t229 @t232 @t234)) % 29.53/29.70 (assume @p1 @t5) % 29.53/29.70 (assume @p2 (forall (@list @t6 @t2 @t1) (= (tptp.addition @t1 @t7) (tptp.addition @t3 @t6)))) % 29.53/29.70 (assume @p3 @t10) % 29.53/29.70 (assume @p4 @t12) % 29.53/29.70 (assume @p5 (forall @t15 (= (tptp.multiplication @t1 @t14) (tptp.multiplication @t13 @t6)))) % 29.53/29.70 (assume @p6 @t17) % 29.53/29.70 (assume @p7 @t19) % 29.53/29.70 (assume @p8 (forall @t15 (= (tptp.multiplication @t1 @t7) (tptp.addition @t13 @t20)))) % 29.53/29.70 (assume @p9 (forall @t15 (= (tptp.multiplication @t3 @t6) (tptp.addition @t20 @t14)))) % 29.53/29.70 (assume @p10 @t22) % 29.53/29.70 (assume @p11 (forall @t9 (= (tptp.addition tptp.one (tptp.multiplication @t1 @t23)) @t23))) % 29.53/29.70 (assume @p12 (forall @t9 (= (tptp.addition tptp.one (tptp.multiplication @t23 @t1)) @t23))) % 29.53/29.70 (assume @p13 (forall @t15 (=> (tptp.leq @t24 @t6) (tptp.leq (tptp.multiplication @t23 @t2) @t6)))) % 29.53/29.70 (assume @p14 (forall @t15 (=> (tptp.leq (tptp.addition (tptp.multiplication @t6 @t1) @t2) @t6) (tptp.leq (tptp.multiplication @t2 @t23) @t6)))) % 29.53/29.70 (assume @p15 (forall @t9 (= @t25 (tptp.addition (tptp.multiplication @t1 @t25) tptp.one)))) % 29.53/29.70 (assume @p16 @t28) % 29.53/29.70 (assume @p17 (forall @t9 (= @t25 (tptp.addition @t23 (tptp.multiplication @t25 tptp.zero))))) % 29.53/29.70 (assume @p18 @t31) % 29.53/29.70 (assume @p19 @t39) % 29.53/29.70 (assume @p20 true) % 29.53/29.70 (step @p21 :rule eq-symm :args (@t8 @t1)) % 29.53/29.70 (step @p22 :rule cong :premises (@p21) :args (@t10)) % 29.53/29.70 (step @p23 :rule eq_resolve :premises (@p3 @p22)) % 29.53/29.70 (step @p24 :rule instantiate :premises (@p23) :args (@t40)) % 29.53/29.70 (step @p25 :rule eq-symm :args (@t11 @t1)) % 29.53/29.70 (step @p26 :rule cong :premises (@p25) :args (@t12)) % 29.53/29.70 (step @p27 :rule eq_resolve :premises (@p4 @p26)) % 29.53/29.70 (step @p28 :rule instantiate :premises (@p27) :args (@t40)) % 29.53/29.70 (step @p29 :rule eq-symm :args (@t16 @t1)) % 29.53/29.70 (step @p30 :rule cong :premises (@p29) :args (@t17)) % 29.53/29.70 (step @p31 :rule eq_resolve :premises (@p6 @p30)) % 29.53/29.70 (step @p32 :rule instantiate :premises (@p31) :args (@t40)) % 29.53/29.70 (step @p33 :rule eq-symm :args (@t18 @t1)) % 29.53/29.70 (step @p34 :rule cong :premises (@p33) :args (@t19)) % 29.53/29.70 (step @p35 :rule eq_resolve :premises (@p7 @p34)) % 29.53/29.70 (step @p36 :rule instantiate :premises (@p35) :args ((@list tptp.zero))) % 29.53/29.70 (step @p37 :rule instantiate :premises (@p15) :args ((@list @t43))) % 29.53/29.70 (step @p38 :rule instantiate :premises (@p2) :args ((@list tptp.one tptp.one @t45))) % 29.53/29.70 (step @p39 :rule eq-symm :args (@t21 tptp.zero)) % 29.53/29.70 (step @p40 :rule cong :premises (@p39) :args (@t22)) % 29.53/29.70 (step @p41 :rule eq_resolve :premises (@p10 @p40)) % 29.53/29.70 (step @p42 :rule instantiate :premises (@p41) :args (@t46)) % 29.53/29.70 (step @p43 :rule instantiate :premises (@p35) :args (@t46)) % 29.53/29.70 (step @p44 :rule instantiate :premises (@p31) :args (@t47)) % 29.53/29.70 (step @p45 :rule instantiate :premises (@p5) :args ((@list @t34 tptp.zero @t44))) % 29.53/29.70 (step @p46 :rule instantiate :premises (@p1) :args ((@list tptp.one tptp.zero))) % 29.53/29.70 (step @p47 :rule instantiate :premises (@p31) :args (@t49)) % 29.53/29.70 (step @p48 :rule instantiate :premises (@p15) :args (@t46)) % 29.53/29.70 (step @p49 :rule instantiate :premises (@p2) :args ((@list tptp.one tptp.one @t50))) % 29.53/29.70 (step @p50 :rule eq-symm :args (@t51 @t52)) % 29.53/29.70 (step @p51 :rule refl :args (@t5)) % 29.53/29.70 (step @p52 :rule cong :premises (@p51 @p50) :args ((=> @t5 @t53))) % 29.53/29.70 (assume-push @p595 @t5) % 29.53/29.70 (step @p54 :rule instantiate :premises (@p1) :args (@t54)) % 29.53/29.70 (step-pop @p596 :rule scope :premises (@p54)) % 29.53/29.70 (step @p55 :rule process_scope :premises (@p596) :args (@t53)) % 29.53/29.70 (step @p57 :rule eq_resolve :premises (@p55 @p52)) % 29.53/29.70 (step @p58 :rule implies_elim :premises (@p57)) % 29.53/29.70 (step @p59 :rule chain_m_resolution :premises (@p58 @p1) :args (@t55 @t56 (@list @t5))) % 29.53/29.70 (step @p60 :rule eq-symm :args (@t3 @t2)) % 29.53/29.70 (step @p61 :rule refl :args (@t29)) % 29.53/29.70 (step @p62 :rule cong :premises (@p61 @p60) :args (@t30)) % 29.53/29.70 (step @p63 :rule cong :premises (@p62) :args (@t31)) % 29.53/29.70 (step @p64 :rule eq_resolve :premises (@p18 @p63)) % 29.53/29.70 (step @p65 :rule instantiate :premises (@p64) :args ((@list @t48 @t34))) % 29.53/29.70 (step @p66 :rule bool-impl-elim :args (@t27 @t26)) % 29.53/29.70 (step @p67 :rule cong :premises (@p66) :args (@t28)) % 29.53/29.70 (step @p68 :rule eq_resolve :premises (@p16 @p67)) % 29.53/29.70 (step @p69 :rule instantiate :premises (@p68) :args ((@list tptp.one tptp.one @t48))) % 29.53/29.70 (step @p70 :rule instantiate :premises (@p64) :args ((@list @t48 @t48))) % 29.53/29.70 (step @p71 :rule instantiate :premises (@p27) :args (@t49)) % 29.53/29.70 (step @p72 :rule cnf_equiv_pos2 :args (@t59)) % 29.53/29.70 (step @p73 :rule reordering :premises (@p72) :args ((or @t58 (not @t57) (not @t59)))) % 29.53/29.70 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p70) :args (@t58 @t60 (@list @t57 @t59))) % 29.53/29.70 (step @p75 :rule true_intro :premises (@p74)) % 29.53/29.70 (step @p76 :rule symm :premises (@p48)) % 29.53/29.70 (step @p77 :rule symm :premises (@p28)) % 29.53/29.70 (step @p78 :rule refl :args (@t50)) % 29.53/29.70 (step @p79 :rule cong :premises (@p78 @p77) :args (@t62)) % 29.53/29.70 (step @p80 :rule symm :premises (@p49)) % 29.53/29.70 (step @p81 :rule refl :args (tptp.one)) % 29.53/29.70 (step @p82 :rule cong :premises (@p48 @p81) :args (@t52)) % 29.53/29.70 (step @p83 :rule instantiate :premises (@p35) :args (@t49)) % 29.53/29.70 (step @p84 :rule symm :premises (@p83)) % 29.53/29.70 (step @p85 :rule cong :premises (@p84 @p81) :args (@t64)) % 29.53/29.70 (step @p86 :rule trans :premises (@p85 @p82 @p80 @p79 @p76)) % 29.53/29.70 (step @p87 :rule refl :args (@t48)) % 29.53/29.70 (step @p88 :rule cong :premises (@p87 @p86) :args (@t65)) % 29.53/29.70 (step @p89 :rule trans :premises (@p88 @p75)) % 29.53/29.70 (step @p90 :rule true_elim :premises (@p89)) % 29.53/29.70 (step @p91 :rule cnf_or_pos :args (@t69)) % 29.53/29.70 (step @p92 :rule reordering :premises (@p91) :args ((or @t68 @t67 (not @t69)))) % 29.53/29.70 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p69) :args (@t67 @t60 (@list @t65 @t69))) % 29.53/29.70 (step @p94 :rule true_intro :premises (@p93)) % 29.53/29.70 (step @p95 :rule cong :premises (@p87 @p44) :args (@t70)) % 29.53/29.70 (step @p96 :rule trans :premises (@p95 @p94)) % 29.53/29.70 (step @p97 :rule true_elim :premises (@p96)) % 29.53/29.70 (step @p98 :rule cnf_equiv_pos1 :args (@t73)) % 29.53/29.70 (step @p99 :rule reordering :premises (@p98) :args ((or @t74 @t72 (not @t73)))) % 29.53/29.70 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p65) :args (@t72 @t60 (@list @t70 @t73))) % 29.53/29.70 (step @p101 :rule instantiate :premises (@p41) :args (@t78)) % 29.53/29.70 (step @p102 :rule instantiate :premises (@p5) :args ((@list @t34 tptp.zero @t77))) % 29.53/29.70 (step @p103 :rule instantiate :premises (@p64) :args ((@list @t48 @t79))) % 29.53/29.70 (step @p104 :rule instantiate :premises (@p68) :args ((@list tptp.one tptp.zero @t48))) % 29.53/29.70 (step @p105 :rule instantiate :premises (@p23) :args (@t49)) % 29.53/29.70 (step @p106 :rule symm :premises (@p105)) % 29.53/29.70 (step @p107 :rule refl :args (tptp.zero)) % 29.53/29.70 (step @p108 :rule cong :premises (@p84 @p107) :args (@t80)) % 29.53/29.70 (step @p109 :rule trans :premises (@p108 @p106)) % 29.53/29.70 (step @p110 :rule cong :premises (@p87 @p109) :args (@t81)) % 29.53/29.70 (step @p111 :rule trans :premises (@p110 @p75)) % 29.53/29.70 (step @p112 :rule true_elim :premises (@p111)) % 29.53/29.70 (step @p113 :rule cnf_or_pos :args (@t84)) % 29.53/29.70 (step @p114 :rule reordering :premises (@p113) :args ((or @t83 @t82 (not @t84)))) % 29.53/29.70 (step @p115 :rule chain_m_resolution :premises (@p114 @p112 @p104) :args (@t82 @t60 (@list @t81 @t84))) % 29.53/29.70 (step @p116 :rule cnf_equiv_pos1 :args (@t87)) % 29.53/29.70 (step @p117 :rule reordering :premises (@p116) :args ((or (not @t82) @t86 (not @t87)))) % 29.53/29.70 (step @p118 :rule chain_m_resolution :premises (@p117 @p115 @p103) :args (@t86 @t60 (@list @t82 @t87))) % 29.53/29.70 (step @p119 :rule instantiate :premises (@p8) :args ((@list @t34 tptp.one tptp.zero))) % 29.53/29.70 (step @p120 :rule instantiate :premises (@p2) :args (@t89)) % 29.53/29.70 (step @p121 :rule instantiate :premises (@p5) :args ((@list @t34 tptp.zero @t34))) % 29.53/29.70 (step @p122 :rule instantiate :premises (@p41) :args (@t47)) % 29.53/29.71 (step @p123 :rule instantiate :premises (@p35) :args ((@list @t79))) % 29.53/29.71 (step @p124 :rule instantiate :premises (@p1) :args ((@list @t66 @t48))) % 29.53/29.71 (step @p125 :rule instantiate :premises (@p9) :args ((@list @t90 tptp.one @t79))) % 29.53/29.71 (step @p126 :rule instantiate :premises (@p64) :args ((@list @t44 @t91))) % 29.53/29.71 (step @p127 :rule instantiate :premises (@p68) :args ((@list @t44 tptp.zero @t44))) % 29.53/29.71 (step @p128 :rule instantiate :premises (@p64) :args ((@list @t44 @t93))) % 29.53/29.71 (step @p129 :rule instantiate :premises (@p23) :args ((@list @t92))) % 29.53/29.71 (step @p130 :rule refl :args (@t44)) % 29.53/29.71 (step @p131 :rule symm :premises (@p37)) % 29.53/29.71 (step @p132 :rule cong :premises (@p131 @p130) :args (@t94)) % 29.53/29.71 (step @p133 :rule trans :premises (@p132 @p129)) % 29.53/29.71 (step @p134 :rule symm :premises (@p43)) % 29.53/29.71 (step @p135 :rule cong :premises (@p134 @p133) :args ((tptp.addition @t95 @t94))) % 29.53/29.71 (step @p136 :rule instantiate :premises (@p9) :args ((@list tptp.one @t90 @t44))) % 29.53/29.71 (step @p137 :rule instantiate :premises (@p1) :args ((@list @t90 tptp.one))) % 29.53/29.71 (step @p138 :rule refl :args (@t45)) % 29.53/29.71 (step @p139 :rule cong :premises (@p138 @p28) :args (@t90)) % 29.53/29.71 (step @p140 :rule trans :premises (@p37 @p139 @p38 @p137)) % 29.53/29.71 (step @p141 :rule cong :premises (@p140 @p130) :args (@t92)) % 29.53/29.71 (step @p142 :rule symm :premises (@p129)) % 29.53/29.71 (step @p143 :rule trans :premises (@p142 @p141 @p136 @p135)) % 29.53/29.71 (step @p144 :rule cnf_equiv_pos2 :args (@t98)) % 29.53/29.71 (step @p145 :rule reordering :premises (@p144) :args ((or @t97 (not @t96) (not @t98)))) % 29.53/29.71 (step @p146 :rule chain_m_resolution :premises (@p145 @p143 @p128) :args (@t97 @t60 (@list @t96 @t98))) % 29.53/29.71 (step @p147 :rule cnf_or_pos :args (@t101)) % 29.53/29.71 (step @p148 :rule reordering :premises (@p147) :args ((or @t100 @t99 (not @t101)))) % 29.53/29.71 (step @p149 :rule chain_m_resolution :premises (@p148 @p146 @p127) :args (@t99 @t60 (@list @t97 @t101))) % 29.53/29.71 (step @p150 :rule cnf_equiv_pos1 :args (@t104)) % 29.53/29.71 (step @p151 :rule reordering :premises (@p150) :args ((or (not @t99) @t103 (not @t104)))) % 29.53/29.71 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p126) :args (@t103 @t60 (@list @t99 @t104))) % 29.53/29.71 (step @p153 :rule instantiate :premises (@p5) :args ((@list @t48 tptp.zero @t34))) % 29.53/29.71 (step @p154 :rule instantiate :premises (@p9) :args ((@list @t44 @t91 @t34))) % 29.53/29.71 (step @p155 :rule instantiate :premises (@p8) :args ((@list @t48 @t105 @t88))) % 29.53/29.71 (step @p156 :rule instantiate :premises (@p2) :args ((@list @t107 @t106 @t66))) % 29.53/29.71 (step @p157 :rule instantiate :premises (@p35) :args (@t47)) % 29.53/29.71 (step @p158 :rule instantiate :premises (@p9) :args ((@list tptp.one @t48 @t34))) % 29.53/29.71 (step @p159 :rule instantiate :premises (@p68) :args (@t111)) % 29.53/29.71 (step @p160 :rule instantiate :premises (@p64) :args ((@list @t48 @t113))) % 29.53/29.71 (step @p161 :rule instantiate :premises (@p23) :args ((@list @t112))) % 29.53/29.71 (step @p162 :rule cong :premises (@p87 @p161) :args ((tptp.addition @t48 @t112))) % 29.53/29.71 (step @p163 :rule instantiate :premises (@p1) :args ((@list @t48 @t112))) % 29.53/29.71 (step @p164 :rule symm :premises (@p163)) % 29.53/29.71 (step @p165 :rule refl :args (@t112)) % 29.53/29.71 (step @p166 :rule cong :premises (@p165 @p84) :args ((tptp.addition @t112 @t63))) % 29.53/29.71 (step @p167 :rule instantiate :premises (@p9) :args (@t111)) % 29.53/29.71 (step @p168 :rule instantiate :premises (@p2) :args ((@list tptp.one tptp.one @t109))) % 29.53/29.71 (step @p169 :rule refl :args (@t109)) % 29.53/29.71 (step @p170 :rule cong :premises (@p169 @p28) :args (@t110)) % 29.53/29.71 (step @p171 :rule instantiate :premises (@p15) :args (@t78)) % 29.53/29.71 (step @p172 :rule trans :premises (@p171 @p170 @p168)) % 29.53/29.71 (step @p173 :rule symm :premises (@p171)) % 29.53/29.71 (step @p174 :rule trans :premises (@p173 @p172)) % 29.53/29.71 (step @p175 :rule cong :premises (@p174 @p87) :args (@t112)) % 29.53/29.71 (step @p176 :rule symm :premises (@p161)) % 29.53/29.71 (step @p177 :rule trans :premises (@p176 @p175 @p167 @p166 @p164 @p162)) % 29.53/29.71 (step @p178 :rule cnf_equiv_pos2 :args (@t116)) % 29.53/29.71 (step @p179 :rule reordering :premises (@p178) :args ((or @t115 (not @t114) (not @t116)))) % 29.53/29.71 (step @p180 :rule chain_m_resolution :premises (@p179 @p177 @p160) :args (@t115 @t60 (@list @t114 @t116))) % 29.53/29.71 (step @p181 :rule true_intro :premises (@p180)) % 29.53/29.71 (step @p182 :rule cong :premises (@p169 @p77) :args ((tptp.addition @t109 @t61))) % 29.53/29.71 (step @p183 :rule symm :premises (@p168)) % 29.53/29.71 (step @p184 :rule trans :premises (@p183 @p182 @p173)) % 29.53/29.71 (step @p185 :rule trans :premises (@p184 @p171)) % 29.53/29.71 (step @p186 :rule cong :premises (@p185 @p87) :args ((tptp.multiplication (tptp.addition @t110 tptp.one) @t48))) % 29.53/29.71 (step @p187 :rule symm :premises (@p167)) % 29.53/29.71 (step @p188 :rule cong :premises (@p165 @p83) :args ((tptp.addition @t112 @t48))) % 29.53/29.71 (step @p189 :rule trans :premises (@p82 @p80 @p79 @p76)) % 29.53/29.71 (step @p190 :rule cong :premises (@p165 @p189) :args ((tptp.addition @t112 @t52))) % 29.53/29.71 (step @p191 :rule instantiate :premises (@p2) :args ((@list tptp.one @t48 @t112))) % 29.53/29.71 (step @p192 :rule symm :premises (@p191)) % 29.53/29.71 (step @p193 :rule trans :premises (@p175 @p167 @p166 @p164)) % 29.53/29.71 (step @p194 :rule trans :premises (@p193 @p163)) % 29.53/29.71 (step @p195 :rule cong :premises (@p194 @p81) :args (@t117)) % 29.53/29.71 (step @p196 :rule trans :premises (@p195 @p192 @p190 @p188 @p187 @p186 @p161)) % 29.53/29.71 (step @p197 :rule cong :premises (@p87 @p196) :args (@t118)) % 29.53/29.71 (step @p198 :rule trans :premises (@p197 @p181)) % 29.53/29.71 (step @p199 :rule true_elim :premises (@p198)) % 29.53/29.71 (step @p200 :rule cnf_or_pos :args (@t121)) % 29.53/29.71 (step @p201 :rule reordering :premises (@p200) :args ((or @t120 @t119 (not @t121)))) % 29.53/29.71 (step @p202 :rule chain_m_resolution :premises (@p201 @p199 @p159) :args (@t119 @t60 (@list @t118 @t121))) % 29.53/29.71 (step @p203 :rule instantiate :premises (@p31) :args ((@list @t122))) % 29.53/29.71 (step @p204 :rule refl :args (@t74)) % 29.53/29.71 (step @p205 :rule bool-double-not-elim :args (@t42)) % 29.53/29.71 (step @p206 :rule nary_cong :premises (@p205 @p204) :args ((or (not @t123) @t74))) % 29.53/29.71 (assume-push @p597 @t123) % 29.53/29.71 (step @p208 :rule skolemize :premises (@p597)) % 29.53/29.71 (step-pop @p598 :rule scope :premises (@p208)) % 29.53/29.71 (step @p209 :rule process_scope :premises (@p598) :args (@t74)) % 29.53/29.71 (step @p211 :rule implies_elim :premises (@p209)) % 29.53/29.71 (step @p212 :rule eq_resolve :premises (@p211 @p206)) % 29.53/29.71 (step @p213 :rule chain_m_resolution :premises (@p212 @p97) :args (@t42 @t56 (@list @t70))) % 29.53/29.71 (step @p214 :rule alpha_equiv :args (@t124 @t125 (@list @t75))) % 29.53/29.71 (step @p215 :rule alpha_equiv :args (@t126 @t125 (@list @t41))) % 29.53/29.71 (step @p216 :rule nary_cong :premises (@p215 @p214) :args (@t127)) % 29.53/29.71 (step @p217 :rule quant-miniscope-and :args ((= @t38 @t127))) % 29.53/29.71 (step @p218 :rule trans :premises (@p217 @p216)) % 29.53/29.71 (step @p219 :rule cong :premises (@p218) :args (@t39)) % 29.53/29.71 (step @p220 :rule eq_resolve :premises (@p19 @p219)) % 29.53/29.71 (step @p221 :rule not_and :premises (@p220)) % 29.53/29.71 (step @p222 :rule chain_m_resolution :premises (@p221 @p213) :args (@t128 @t56 (@list @t42))) % 29.53/29.71 (step @p223 :rule refl :args (@t130)) % 29.53/29.71 (step @p224 :rule bool-double-not-elim :args (@t76)) % 29.53/29.71 (step @p225 :rule nary_cong :premises (@p224 @p223) :args ((or (not @t128) @t130))) % 29.53/29.71 (assume-push @p599 @t128) % 29.53/29.71 (step @p227 :rule skolemize :premises (@p599)) % 29.53/29.71 (step-pop @p600 :rule scope :premises (@p227)) % 29.53/29.71 (step @p228 :rule process_scope :premises (@p600) :args (@t130)) % 29.53/29.71 (step @p230 :rule implies_elim :premises (@p228)) % 29.53/29.71 (step @p231 :rule eq_resolve :premises (@p230 @p225)) % 29.53/29.71 (step @p232 :rule chain_m_resolution :premises (@p231 @p222) :args (@t130 (@list true) (@list @t76))) % 29.53/29.71 (step @p233 :rule instantiate :premises (@p17) 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cong :premises (@p394 @p87) :args (@t180)) % 29.53/29.71 (step @p396 :rule trans :premises (@p395 @p54 @p82 @p80 @p79 @p76)) % 29.53/29.71 (step @p397 :rule cong :premises (@p396 @p393) :args (@t181)) % 29.53/29.71 (step @p400 :rule cong :premises (@p399 @p118) :args (@t177)) % 29.53/29.71 (step @p472 :rule trans :premises (@p400 @p120 @p397 @p392)) % 29.53/29.71 (step @p473 :rule cong :premises (@p472 @p280) :args (@t228)) % 29.53/29.71 (step @p474 :rule symm :premises (@p427)) % 29.53/29.71 (step @p294 :rule symm :premises (@p281)) % 29.53/29.71 (step @p475 :rule trans :premises (@p294 @p121)) % 29.53/29.71 (step @p476 :rule cong :premises (@p32 @p280) :args (@t131)) % 29.53/29.71 (step @p296 :rule symm :premises (@p44)) % 29.53/29.71 (step @p477 :rule trans :premises (@p296 @p157 @p476)) % 29.53/29.71 (step @p478 :rule cong :premises (@p477 @p475) :args (@t209)) % 29.53/29.71 (step @p479 :rule cong :premises (@p280 @p24) :args (@t66)) % 29.53/29.71 (step @p480 :rule symm :premises (@p100)) % 29.53/29.71 (step @p481 :rule cong :premises (@p87 @p296) :args (@t138)) % 29.53/29.71 (step @p482 :rule symm :premises (@p47)) % 29.53/29.71 (step @p483 :rule symm :premises (@p24)) % 29.53/29.71 (step @p484 :rule symm :premises (@p46)) % 29.53/29.71 (step @p485 :rule symm :premises (@p36)) % 29.53/29.71 (step @p486 :rule cong :premises (@p485 @p394) :args (@t223)) % 29.53/29.71 (step @p487 :rule trans :premises (@p486 @p484 @p483)) % 29.53/29.71 (step @p488 :rule cong :premises (@p87 @p487) :args (@t224)) % 29.53/29.71 (step @p489 :rule symm :premises (@p155)) % 29.53/29.71 (step @p490 :rule trans :premises (@p489 @p488 @p482)) % 29.53/29.71 (step @p491 :rule refl :args (@t66)) % 29.53/29.71 (step @p492 :rule cong :premises (@p491 @p490) :args (@t226)) % 29.53/29.71 (step @p493 :rule symm :premises (@p156)) % 29.53/29.71 (step @p494 :rule refl :args (@t107)) % 29.53/29.71 (step @p495 :rule cong :premises (@p87 @p36) :args (@t91)) % 29.53/29.71 (step @p496 :rule cong :premises (@p87 @p279) :args (@t217)) % 29.53/29.71 (step @p497 :rule symm :premises (@p153)) % 29.53/29.71 (step @p498 :rule trans :premises (@p497 @p496 @p495)) % 29.53/29.71 (step @p499 :rule symm :premises (@p479)) % 29.53/29.71 (step @p500 :rule symm :premises (@p119)) % 29.53/29.71 (step @p501 :rule symm :premises (@p478)) % 29.53/29.71 (step @p502 :rule symm :premises (@p473)) % 29.53/29.71 (step @p503 :rule symm :premises (@p123)) % 29.53/29.71 (step @p504 :rule trans :premises (@p503 @p294 @p121 @p502 @p427 @p501 @p500 @p499 @p296)) % 29.53/29.71 (step @p505 :rule trans :premises (@p294 @p121 @p502 @p427 @p501 @p500 @p499 @p296)) % 29.53/29.71 (step @p506 :rule symm :premises (@p472)) % 29.53/29.71 (step @p507 :rule symm :premises (@p505)) % 29.53/29.71 (step @p508 :rule trans :premises (@p507 @p506)) % 29.53/29.71 (step @p509 :rule cong :premises (@p508 @p505) :args ((tptp.multiplication @t34 @t79))) % 29.53/29.71 (step @p510 :rule symm :premises (@p42)) % 29.53/29.71 (step @p511 :rule cong :premises (@p280 @p510) :args (@t200)) % 29.53/29.71 (step @p512 :rule symm :premises (@p45)) % 29.53/29.71 (step @p513 :rule cong :premises (@p507 @p130) :args ((tptp.multiplication @t34 @t44))) % 29.53/29.71 (step @p514 :rule symm :premises (@p508)) % 29.53/29.71 (step @p515 :rule cong :premises (@p514 @p130) :args (@t231)) % 29.53/29.71 (step @p516 :rule symm :premises (@p428)) % 29.53/29.71 (step @p517 :rule trans :premises (@p516 @p515 @p513 @p512 @p511)) % 29.53/29.71 (step @p518 :rule trans :premises (@p517 @p505)) % 29.53/29.71 (step @p519 :rule cong :premises (@p518 @p393) :args (@t233)) % 29.53/29.71 (step @p520 :rule symm :premises (@p429)) % 29.53/29.71 (step @p521 :rule symm :premises (@p511)) % 29.53/29.71 (step @p522 :rule trans :premises (@p521 @p45)) % 29.53/29.71 (step @p523 :rule symm :premises (@p101)) % 29.53/29.71 (step @p524 :rule cong :premises (@p280 @p523) :args (@t207)) % 29.53/29.71 (step @p525 :rule symm :premises (@p102)) % 29.53/29.71 (step @p526 :rule trans :premises (@p525 @p524)) % 29.53/29.71 (step @p527 :rule trans :premises (@p526 @p522)) % 29.53/29.71 (step @p528 :rule cong :premises (@p527 @p393) :args ((tptp.multiplication @t206 @t79))) % 29.53/29.71 (step @p529 :rule symm :premises (@p526)) % 29.53/29.71 (step @p530 :rule trans :premises (@p472 @p529)) % 29.53/29.71 (step @p531 :rule cong :premises (@p530 @p507) :args (@t228)) % 29.53/29.71 (step @p532 :rule trans :premises (@p503 @p294 @p121 @p502 @p531 @p528)) % 29.53/29.71 (step @p533 :rule cong :premises (@p32 @p130) :args (@t95)) % 29.53/29.71 (step @p534 :rule trans :premises (@p43 @p533)) % 29.53/29.71 (step @p535 :rule cong :premises (@p534 @p393) :args (@t235)) % 29.53/29.71 (step @p536 :rule cong :premises (@p131 @p393) :args (@t213)) % 29.53/29.71 (step @p537 :rule trans :premises (@p536 @p535)) % 29.53/29.71 (step @p538 :rule cong :premises (@p537 @p532) :args (@t214)) % 29.53/29.71 (step @p539 :rule trans :premises (@p37 @p139 @p38)) % 29.53/29.71 (step @p540 :rule cong :premises (@p539 @p393) :args (@t235)) % 29.53/29.71 (step @p541 :rule trans :premises (@p536 @p540 @p125 @p538 @p520 @p519 @p509 @p473 @p282 @p281 @p123)) % 29.53/29.71 (step @p542 :rule symm :premises (@p536)) % 29.53/29.71 (step @p543 :rule cong :premises (@p130 @p507) :args (@t219)) % 29.53/29.71 (step @p544 :rule trans :premises (@p543 @p542 @p541 @p504 @p44)) % 29.53/29.71 (step @p545 :rule cong :premises (@p544 @p498) :args (@t220)) % 29.53/29.71 (step @p546 :rule cong :premises (@p152 @p280) :args (@t216)) % 29.53/29.71 (step @p547 :rule symm :premises (@p496)) % 29.53/29.71 (step @p548 :rule trans :premises (@p547 @p153 @p546 @p154 @p545)) % 29.53/29.71 (step @p549 :rule symm :premises (@p495)) % 29.53/29.71 (step @p550 :rule trans :premises (@p549 @p548)) % 29.53/29.71 (step @p551 :rule cong :premises (@p550 @p494) :args (@t222)) % 29.53/29.71 (step @p552 :rule symm :premises (@p488)) % 29.53/29.71 (step @p553 :rule trans :premises (@p47 @p552 @p155 @p551 @p493 @p492 @p124 @p481 @p480 @p44 @p479 @p119 @p478 @p474 @p473 @p282 @p281 @p118 @p471 @p466 @p465)) % 29.53/29.71 (step-pop @p730 :rule scope :premises (@p553)) % 29.53/29.71 (step-pop @p731 :rule scope :premises (@p730)) % 29.53/29.71 (step-pop @p732 :rule scope :premises (@p731)) % 29.53/29.71 (step-pop @p733 :rule scope :premises (@p732)) % 29.53/29.71 (step-pop @p734 :rule scope :premises (@p733)) % 29.53/29.71 (step-pop @p735 :rule scope :premises (@p734)) % 29.53/29.71 (step-pop @p736 :rule scope :premises (@p735)) % 29.53/29.71 (step-pop @p737 :rule scope :premises (@p736)) % 29.53/29.71 (step-pop @p738 :rule scope :premises (@p737)) % 29.53/29.71 (step-pop @p739 :rule scope :premises (@p738)) % 29.53/29.71 (step-pop @p740 :rule scope :premises (@p739)) % 29.53/29.71 (step-pop @p741 :rule scope :premises (@p740)) % 29.53/29.71 (step-pop @p742 :rule scope :premises (@p741)) % 29.53/29.71 (step-pop @p743 :rule scope :premises (@p742)) % 29.53/29.71 (step-pop @p744 :rule scope :premises (@p743)) % 29.53/29.71 (step-pop @p745 :rule scope :premises (@p744)) % 29.53/29.71 (step-pop @p746 :rule scope :premises (@p745)) % 29.53/29.71 (step-pop @p747 :rule scope :premises (@p746)) % 29.53/29.71 (step-pop @p748 :rule scope :premises (@p747)) % 29.53/29.71 (step-pop @p749 :rule scope :premises (@p748)) % 29.53/29.71 (step-pop @p750 :rule scope :premises (@p749)) % 29.53/29.71 (step-pop @p751 :rule scope :premises (@p750)) % 29.53/29.71 (step-pop @p752 :rule scope :premises (@p751)) % 29.53/29.71 (step-pop @p753 :rule scope :premises (@p752)) % 29.53/29.71 (step-pop @p754 :rule scope :premises (@p753)) % 29.53/29.71 (step-pop @p755 :rule scope :premises (@p754)) % 29.53/29.71 (step-pop @p756 :rule scope :premises (@p755)) % 29.53/29.71 (step-pop @p757 :rule scope :premises (@p756)) % 29.53/29.71 (step-pop @p758 :rule scope :premises (@p757)) % 29.53/29.71 (step-pop @p759 :rule scope :premises (@p758)) % 29.53/29.71 (step-pop @p760 :rule scope :premises (@p759)) % 29.53/29.71 (step-pop @p761 :rule scope :premises (@p760)) % 29.53/29.71 (step-pop @p762 :rule scope :premises (@p761)) % 29.53/29.71 (step-pop @p763 :rule scope :premises (@p762)) % 29.53/29.71 (step-pop @p764 :rule scope :premises (@p763)) % 29.53/29.71 (step @p554 :rule process_scope :premises (@p764) :args (@t178)) % 29.53/29.71 (step @p590 :rule implies_elim :premises (@p554)) % 29.53/29.71 (step @p591 :rule cnf_and_neg :args (@t236)) % 29.53/29.71 (step @p592 :rule resolution :premises (@p591 @p590) :args (true @t236)) % 29.53/29.71 (step @p593 :rule reordering :premises (@p592) :args ((or (not @t192) @t175 @t187 (not @t193) (not @t194) (not @t196) @t168 (not @t198) (not @t199) @t167 (not @t201) (not @t202) (not @t203) @t165 @t163 @t159 (not @t205) (not @t208) @t185 (not @t210) @t178 @t184 @t146 @t148 (not @t212) @t141 (not @t215) (not @t103) (not @t218) (not @t221) (not @t225) (not @t227) @t133 (not @t229) (not @t232) (not @t234)))) % 29.53/29.71 (step @p594 false :rule chain_m_resolution :premises (@p593 @p429 @p428 @p427 @p426 @p157 @p156 @p155 @p154 @p153 @p152 @p125 @p124 @p123 @p122 @p121 @p120 @p119 @p118 @p102 @p101 @p100 @p59 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p38 @p37 @p36 @p32 @p28 @p24) :args (false (@list false false 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) (@list @t234 @t232 @t229 @t178 @t132 @t227 @t225 @t221 @t218 @t103 @t215 @t140 @t212 @t147 @t145 @t183 @t210 @t86 @t208 @t205 @t72 @t55 @t162 @t164 @t203 @t202 @t201 @t166 @t199 @t198 @t196 @t194 @t193 @t186 @t174 @t192))) % 29.53/29.71 ) % 29.53/29.71 % SZS output end Proof % 29.53/29.71 % cvc5 exiting %------------------------------------------------------------------------------