%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE025+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:28:07 AM UTC 2026 % Result : Theorem 5.23s 5.45s % Output : Proof 5.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE025+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n008.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 05:10:33 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 5.23/5.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 5.23/5.45 % SZS status Theorem % 5.23/5.45 % SZS output start Proof % 5.23/5.45 ( % 5.23/5.45 (declare-sort $$unsorted 0) % 5.23/5.45 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 5.23/5.45 (declare-const tptp.test (-> $$unsorted Bool)) % 5.23/5.45 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 5.23/5.45 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.45 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 5.23/5.45 (declare-const tptp.zero $$unsorted) % 5.23/5.45 (declare-const tptp.one $$unsorted) % 5.23/5.45 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 5.23/5.45 (define @t1 () (@var "A" $$unsorted)) % 5.23/5.45 (define @t2 () (@var "B" $$unsorted)) % 5.23/5.45 (define @t3 () (tptp.addition @t1 @t2)) % 5.23/5.45 (define @t4 () (@list @t1 @t2)) % 5.23/5.45 (define @t5 () (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 5.23/5.45 (define @t6 () (@var "C" $$unsorted)) % 5.23/5.45 (define @t7 () (tptp.addition @t2 @t6)) % 5.23/5.45 (define @t8 () (forall (@list @t6 @t2 @t1) (= (tptp.addition @t1 @t7) (tptp.addition @t3 @t6)))) % 5.23/5.45 (define @t9 () (tptp.addition @t1 tptp.zero)) % 5.23/5.45 (define @t10 () (@list @t1)) % 5.23/5.45 (define @t11 () (forall @t10 (= @t9 @t1))) % 5.23/5.45 (define @t12 () (tptp.addition @t1 @t1)) % 5.23/5.45 (define @t13 () (forall @t10 (= @t12 @t1))) % 5.23/5.45 (define @t14 () (tptp.multiplication @t1 @t2)) % 5.23/5.45 (define @t15 () (tptp.multiplication @t2 @t6)) % 5.23/5.45 (define @t16 () (@list @t1 @t2 @t6)) % 5.23/5.45 (define @t17 () (forall @t16 (= (tptp.multiplication @t1 @t15) (tptp.multiplication @t14 @t6)))) % 5.23/5.45 (define @t18 () (tptp.multiplication @t1 tptp.one)) % 5.23/5.45 (define @t19 () (forall @t10 (= @t18 @t1))) % 5.23/5.45 (define @t20 () (tptp.multiplication tptp.one @t1)) % 5.23/5.45 (define @t21 () (forall @t10 (= @t20 @t1))) % 5.23/5.45 (define @t22 () (tptp.multiplication @t1 @t6)) % 5.23/5.45 (define @t23 () (tptp.multiplication @t1 tptp.zero)) % 5.23/5.45 (define @t24 () (forall @t10 (= @t23 tptp.zero))) % 5.23/5.45 (define @t25 () (tptp.multiplication tptp.zero @t1)) % 5.23/5.45 (define @t26 () (forall @t10 (= @t25 tptp.zero))) % 5.23/5.45 (define @t27 () (@var "X0" $$unsorted)) % 5.23/5.45 (define @t28 () (@var "X1" $$unsorted)) % 5.23/5.45 (define @t29 () (tptp.complement @t28 @t27)) % 5.23/5.45 (define @t30 () (@list @t28)) % 5.23/5.45 (define @t31 () (exists @t30 @t29)) % 5.23/5.45 (define @t32 () (tptp.test @t27)) % 5.23/5.45 (define @t33 () (= @t32 @t31)) % 5.23/5.45 (define @t34 () (@list @t27)) % 5.23/5.45 (define @t35 () (forall @t34 @t33)) % 5.23/5.45 (define @t36 () (tptp.addition @t27 @t28)) % 5.23/5.45 (define @t37 () (tptp.multiplication @t28 @t27)) % 5.23/5.45 (define @t38 () (tptp.multiplication @t27 @t28)) % 5.23/5.45 (define @t39 () (and (= @t38 tptp.zero) (= @t37 tptp.zero) (= @t36 tptp.one))) % 5.23/5.45 (define @t40 () (= @t29 @t39)) % 5.23/5.45 (define @t41 () (@list @t27 @t28)) % 5.23/5.45 (define @t42 () (forall @t41 @t40)) % 5.23/5.45 (define @t43 () (tptp.complement @t27 @t28)) % 5.23/5.45 (define @t44 () (tptp.c @t27)) % 5.23/5.45 (define @t45 () (= (= @t44 @t28) @t43)) % 5.23/5.45 (define @t46 () (=> @t32 @t45)) % 5.23/5.45 (define @t47 () (forall @t41 @t46)) % 5.23/5.45 (define @t48 () (not @t32)) % 5.23/5.45 (define @t49 () (=> @t48 (= @t44 tptp.zero))) % 5.23/5.45 (define @t50 () (forall @t34 @t49)) % 5.23/5.45 (define @t51 () (tptp.c @t28)) % 5.23/5.45 (define @t52 () (= (tptp.c @t36) (tptp.multiplication @t44 @t51))) % 5.23/5.45 (define @t53 () (tptp.test @t28)) % 5.23/5.45 (define @t54 () (and @t32 @t53)) % 5.23/5.45 (define @t55 () (forall @t41 (=> @t54 @t52))) % 5.23/5.45 (define @t56 () (= (tptp.c @t38) (tptp.addition @t44 @t51))) % 5.23/5.45 (define @t57 () (forall @t41 (=> @t54 @t56))) % 5.23/5.45 (define @t58 () (@var "X2" $$unsorted)) % 5.23/5.45 (define @t59 () (= @t37 (tptp.multiplication @t37 @t58))) % 5.23/5.45 (define @t60 () (tptp.multiplication @t37 (tptp.c @t58))) % 5.23/5.45 (define @t61 () (=> (= @t60 tptp.zero) @t59)) % 5.23/5.45 (define @t62 () (tptp.test @t58)) % 5.23/5.45 (define @t63 () (and @t53 @t62)) % 5.23/5.45 (define @t64 () (=> @t63 @t61)) % 5.23/5.45 (define @t65 () (@list @t27 @t28 @t58)) % 5.23/5.45 (define @t66 () (forall @t65 @t64)) % 5.23/5.45 (define @t67 () (not @t66)) % 5.23/5.45 (define @t68 () (= tptp.zero @t60)) % 5.23/5.45 (define @t69 () (not @t68)) % 5.23/5.45 (define @t70 () (not @t62)) % 5.23/5.45 (define @t71 () (not @t53)) % 5.23/5.45 (define @t72 () (or @t71 @t70 @t69 @t59)) % 5.23/5.45 (define @t73 () (=> @t68 @t59)) % 5.23/5.45 (define @t74 () (forall @t65 @t72)) % 5.23/5.45 (define @t75 () (@quantifiers_skolemize @t74 2)) % 5.23/5.45 (define @t76 () (tptp.c @t75)) % 5.23/5.45 (define @t77 () (@quantifiers_skolemize @t74 0)) % 5.23/5.45 (define @t78 () (@quantifiers_skolemize @t74 1)) % 5.23/5.45 (define @t79 () (tptp.multiplication @t78 @t77)) % 5.23/5.45 (define @t80 () (tptp.multiplication @t79 @t76)) % 5.23/5.45 (define @t81 () (= tptp.zero @t80)) % 5.23/5.45 (define @t82 () (tptp.multiplication @t79 @t75)) % 5.23/5.45 (define @t83 () (= @t79 @t82)) % 5.23/5.45 (define @t84 () (not @t81)) % 5.23/5.45 (define @t85 () (tptp.test @t75)) % 5.23/5.45 (define @t86 () (not @t85)) % 5.23/5.45 (define @t87 () (tptp.test @t78)) % 5.23/5.45 (define @t88 () (not @t87)) % 5.23/5.45 (define @t89 () (or @t88 @t86 @t84 @t83)) % 5.23/5.45 (define @t90 () (@list true)) % 5.23/5.45 (define @t91 () (@list @t89)) % 5.23/5.45 (define @t92 () (not @t83)) % 5.23/5.45 (define @t93 () (tptp.c @t76)) % 5.23/5.45 (define @t94 () (tptp.c @t79)) % 5.23/5.45 (define @t95 () (tptp.c @t77)) % 5.23/5.45 (define @t96 () (tptp.c @t78)) % 5.23/5.45 (define @t97 () (forall @t30 (not (tptp.complement @t28 @t75)))) % 5.23/5.45 (define @t98 () (@quantifiers_skolemize @t97 0)) % 5.23/5.45 (define @t99 () (@list @t75 @t98)) % 5.23/5.45 (define @t100 () (@list @t75)) % 5.23/5.45 (define @t101 () (not @t97)) % 5.23/5.45 (define @t102 () (= @t85 @t101)) % 5.23/5.45 (define @t103 () (@list false false)) % 5.23/5.45 (define @t104 () (tptp.complement @t98 @t75)) % 5.23/5.45 (define @t105 () (not @t104)) % 5.23/5.45 (define @t106 () (not @t105)) % 5.23/5.45 (define @t107 () (tptp.addition @t75 @t98)) % 5.23/5.45 (define @t108 () (= tptp.one @t107)) % 5.23/5.45 (define @t109 () (tptp.multiplication @t98 @t75)) % 5.23/5.45 (define @t110 () (= tptp.zero @t109)) % 5.23/5.45 (define @t111 () (tptp.multiplication @t75 @t98)) % 5.23/5.45 (define @t112 () (= tptp.zero @t111)) % 5.23/5.45 (define @t113 () (and @t112 @t110 @t108)) % 5.23/5.45 (define @t114 () (= @t104 @t113)) % 5.23/5.45 (define @t115 () (not @t113)) % 5.23/5.45 (define @t116 () (@list false)) % 5.23/5.45 (define @t117 () (@list @t113)) % 5.23/5.45 (define @t118 () (@list @t76)) % 5.23/5.45 (define @t119 () (@list @t98)) % 5.23/5.45 (define @t120 () (or @t48 @t71 @t52)) % 5.23/5.45 (define @t121 () (or @t48 @t71)) % 5.23/5.45 (define @t122 () (not @t54)) % 5.23/5.45 (define @t123 () (tptp.addition @t75 @t75)) % 5.23/5.45 (define @t124 () (tptp.c @t123)) % 5.23/5.45 (define @t125 () (tptp.multiplication @t76 @t76)) % 5.23/5.45 (define @t126 () (or @t86 @t86 (= @t124 @t125))) % 5.23/5.45 (define @t127 () (forall @t41 @t120)) % 5.23/5.45 (define @t128 () (= @t125 @t124)) % 5.23/5.45 (define @t129 () (or @t86 @t86 @t128)) % 5.23/5.45 (define @t130 () (@list @t127)) % 5.23/5.45 (define @t131 () (= @t28 @t44)) % 5.23/5.45 (define @t132 () (= @t43 @t131)) % 5.23/5.45 (define @t133 () (forall @t30 (not (tptp.complement @t28 @t78)))) % 5.23/5.45 (define @t134 () (@quantifiers_skolemize @t133 0)) % 5.23/5.45 (define @t135 () (tptp.complement @t78 @t134)) % 5.23/5.45 (define @t136 () (= @t135 (= @t134 @t96))) % 5.23/5.45 (define @t137 () (or @t88 @t136)) % 5.23/5.45 (define @t138 () (forall @t41 (or @t48 @t132))) % 5.23/5.45 (define @t139 () (@list @t78 @t134)) % 5.23/5.45 (define @t140 () (= @t96 @t134)) % 5.23/5.45 (define @t141 () (= @t135 @t140)) % 5.23/5.45 (define @t142 () (or @t88 @t141)) % 5.23/5.45 (define @t143 () (@list @t138)) % 5.23/5.45 (define @t144 () (not @t133)) % 5.23/5.45 (define @t145 () (= @t87 @t144)) % 5.23/5.45 (define @t146 () (tptp.complement @t134 @t78)) % 5.23/5.45 (define @t147 () (not @t146)) % 5.23/5.45 (define @t148 () (not @t147)) % 5.23/5.45 (define @t149 () (= tptp.one (tptp.addition @t78 @t134))) % 5.23/5.45 (define @t150 () (= tptp.zero (tptp.multiplication @t134 @t78))) % 5.23/5.45 (define @t151 () (= tptp.zero (tptp.multiplication @t78 @t134))) % 5.23/5.45 (define @t152 () (and @t151 @t150 @t149)) % 5.23/5.45 (define @t153 () (= @t146 @t152)) % 5.23/5.45 (define @t154 () (not @t152)) % 5.23/5.45 (define @t155 () (@list @t152)) % 5.23/5.45 (define @t156 () (= tptp.one (tptp.addition @t134 @t78))) % 5.23/5.45 (define @t157 () (and @t150 @t151 @t156)) % 5.23/5.45 (define @t158 () (@list false false false)) % 5.23/5.45 (define @t159 () (= @t135 @t157)) % 5.23/5.45 (define @t160 () (tptp.complement @t75 @t98)) % 5.23/5.45 (define @t161 () (= @t160 (= @t98 @t76))) % 5.23/5.45 (define @t162 () (or @t86 @t161)) % 5.23/5.45 (define @t163 () (= @t76 @t98)) % 5.23/5.45 (define @t164 () (= @t160 @t163)) % 5.23/5.45 (define @t165 () (or @t86 @t164)) % 5.23/5.45 (define @t166 () (@list @t98 @t75)) % 5.23/5.45 (define @t167 () (tptp.addition @t98 @t75)) % 5.23/5.45 (define @t168 () (= tptp.one @t167)) % 5.23/5.45 (define @t169 () (and @t110 @t112 @t168)) % 5.23/5.45 (define @t170 () (not @t110)) % 5.23/5.45 (define @t171 () (not @t112)) % 5.23/5.45 (define @t172 () (= @t160 @t169)) % 5.23/5.45 (define @t173 () (not @t160)) % 5.23/5.45 (define @t174 () (tptp.c @t98)) % 5.23/5.45 (define @t175 () (tptp.addition @t94 @t93)) % 5.23/5.45 (define @t176 () (tptp.c @t175)) % 5.23/5.45 (define @t177 () (tptp.addition @t96 @t93)) % 5.23/5.45 (define @t178 () (tptp.addition @t93 @t96)) % 5.23/5.45 (define @t179 () (= @t178 @t177)) % 5.23/5.45 (define @t180 () (= @t177 @t178)) % 5.23/5.45 (define @t181 () (@list @t5)) % 5.23/5.45 (define @t182 () (@list @t79)) % 5.23/5.45 (define @t183 () (tptp.multiplication @t77 tptp.zero)) % 5.23/5.45 (define @t184 () (tptp.multiplication @t78 @t183)) % 5.23/5.45 (define @t185 () (tptp.multiplication @t79 tptp.zero)) % 5.23/5.45 (define @t186 () (= @t184 @t185)) % 5.23/5.45 (define @t187 () (@list @t78 @t77 tptp.zero)) % 5.23/5.45 (define @t188 () (= @t185 @t184)) % 5.23/5.45 (define @t189 () (@list @t77)) % 5.23/5.45 (define @t190 () (tptp.multiplication @t78 tptp.zero)) % 5.23/5.45 (define @t191 () (tptp.addition @t98 @t98)) % 5.23/5.45 (define @t192 () (tptp.c @t191)) % 5.23/5.45 (define @t193 () (tptp.addition tptp.zero @t79)) % 5.23/5.45 (define @t194 () (@list @t75 @t76)) % 5.23/5.45 (define @t195 () (tptp.complement @t75 @t76)) % 5.23/5.45 (define @t196 () (forall @t30 (not (tptp.complement @t28 @t76)))) % 5.23/5.45 (define @t197 () (not @t196)) % 5.23/5.45 (define @t198 () (tptp.test @t76)) % 5.23/5.45 (define @t199 () (= @t198 @t197)) % 5.23/5.45 (define @t200 () (not @t199)) % 5.23/5.45 (define @t201 () (not @t197)) % 5.23/5.45 (define @t202 () (@list true false)) % 5.23/5.45 (define @t203 () (tptp.multiplication @t76 @t93)) % 5.23/5.45 (define @t204 () (= (tptp.c (tptp.addition @t75 @t76)) @t203)) % 5.23/5.45 (define @t205 () (not @t198)) % 5.23/5.45 (define @t206 () (or @t86 @t205 @t204)) % 5.23/5.45 (define @t207 () (or @t48 @t71 @t56)) % 5.23/5.45 (define @t208 () (tptp.addition @t76 @t93)) % 5.23/5.45 (define @t209 () (tptp.multiplication @t75 @t76)) % 5.23/5.45 (define @t210 () (tptp.c @t209)) % 5.23/5.45 (define @t211 () (= @t210 @t208)) % 5.23/5.45 (define @t212 () (or @t86 @t205 @t211)) % 5.23/5.45 (define @t213 () (forall @t30 (not (tptp.complement @t28 @t98)))) % 5.23/5.45 (define @t214 () (not @t213)) % 5.23/5.45 (define @t215 () (tptp.test @t98)) % 5.23/5.45 (define @t216 () (= @t215 @t214)) % 5.23/5.45 (define @t217 () (not @t216)) % 5.23/5.45 (define @t218 () (tptp.addition @t174 @t76)) % 5.23/5.45 (define @t219 () (tptp.c @t109)) % 5.23/5.45 (define @t220 () (= @t219 @t218)) % 5.23/5.45 (define @t221 () (not @t215)) % 5.23/5.45 (define @t222 () (or @t221 @t86 @t220)) % 5.23/5.45 (define @t223 () (= @t75 @t174)) % 5.23/5.45 (define @t224 () (= @t104 @t223)) % 5.23/5.45 (define @t225 () (or @t221 @t224)) % 5.23/5.45 (define @t226 () (= tptp.zero @t44)) % 5.23/5.45 (define @t227 () (@list @t95)) % 5.23/5.45 (define @t228 () (tptp.addition @t95 @t93)) % 5.23/5.45 (define @t229 () (tptp.addition @t93 @t95)) % 5.23/5.45 (define @t230 () (= @t228 @t229)) % 5.23/5.45 (define @t231 () (= @t229 @t228)) % 5.23/5.45 (define @t232 () (tptp.addition @t79 @t82)) % 5.23/5.45 (define @t233 () (tptp.addition @t82 @t79)) % 5.23/5.45 (define @t234 () (= @t232 @t233)) % 5.23/5.45 (define @t235 () (@list @t79 @t82)) % 5.23/5.45 (define @t236 () (= @t233 @t232)) % 5.23/5.45 (define @t237 () (tptp.multiplication @t79 tptp.one)) % 5.23/5.45 (define @t238 () (= @t79 @t237)) % 5.23/5.45 (define @t239 () (not @t238)) % 5.23/5.45 (define @t240 () (tptp.multiplication @t79 @t93)) % 5.23/5.45 (define @t241 () (tptp.multiplication @t79 @t95)) % 5.23/5.45 (define @t242 () (tptp.addition @t241 @t240)) % 5.23/5.45 (define @t243 () (= (tptp.multiplication @t79 @t228) @t242)) % 5.23/5.45 (define @t244 () (not @t243)) % 5.23/5.45 (define @t245 () (tptp.multiplication @t193 @t76)) % 5.23/5.45 (define @t246 () (tptp.multiplication @t193 @t192)) % 5.23/5.45 (define @t247 () (tptp.addition @t246 @t245)) % 5.23/5.45 (define @t248 () (tptp.addition @t192 @t76)) % 5.23/5.45 (define @t249 () (tptp.multiplication @t193 @t248)) % 5.23/5.45 (define @t250 () (= @t249 @t247)) % 5.23/5.45 (define @t251 () (not @t250)) % 5.23/5.45 (define @t252 () (tptp.addition @t79 tptp.zero)) % 5.23/5.45 (define @t253 () (= @t79 @t252)) % 5.23/5.45 (define @t254 () (not @t253)) % 5.23/5.45 (define @t255 () (= @t75 (tptp.addition @t75 tptp.zero))) % 5.23/5.45 (define @t256 () (not @t255)) % 5.23/5.45 (define @t257 () (tptp.addition @t77 tptp.zero)) % 5.23/5.45 (define @t258 () (= @t77 @t257)) % 5.23/5.45 (define @t259 () (not @t258)) % 5.23/5.45 (define @t260 () (tptp.addition tptp.zero tptp.zero)) % 5.23/5.45 (define @t261 () (tptp.addition @t79 @t260)) % 5.23/5.45 (define @t262 () (= @t261 (tptp.addition @t252 tptp.zero))) % 5.23/5.45 (define @t263 () (not @t262)) % 5.23/5.45 (define @t264 () (tptp.addition @t95 @t82)) % 5.23/5.45 (define @t265 () (tptp.addition @t264 @t82)) % 5.23/5.45 (define @t266 () (tptp.addition @t82 @t82)) % 5.23/5.45 (define @t267 () (= (tptp.addition @t95 @t266) @t265)) % 5.23/5.45 (define @t268 () (not @t267)) % 5.23/5.45 (define @t269 () (tptp.addition @t82 @t95)) % 5.23/5.45 (define @t270 () (= @t264 @t269)) % 5.23/5.45 (define @t271 () (not @t270)) % 5.23/5.45 (define @t272 () (= tptp.zero @t185)) % 5.23/5.45 (define @t273 () (not @t272)) % 5.23/5.45 (define @t274 () (= @t82 @t266)) % 5.23/5.45 (define @t275 () (not @t274)) % 5.23/5.45 (define @t276 () (tptp.addition @t79 @t79)) % 5.23/5.45 (define @t277 () (= @t79 @t276)) % 5.23/5.45 (define @t278 () (not @t277)) % 5.23/5.45 (define @t279 () (tptp.addition @t95 tptp.zero)) % 5.23/5.45 (define @t280 () (= @t95 @t279)) % 5.23/5.45 (define @t281 () (not @t280)) % 5.23/5.45 (define @t282 () (not @t231)) % 5.23/5.45 (define @t283 () (not @t236)) % 5.23/5.45 (define @t284 () (tptp.addition tptp.zero @t95)) % 5.23/5.45 (define @t285 () (= @t284 @t279)) % 5.23/5.45 (define @t286 () (not @t285)) % 5.23/5.45 (define @t287 () (= @t193 @t252)) % 5.23/5.45 (define @t288 () (not @t287)) % 5.23/5.45 (define @t289 () (tptp.addition tptp.zero @t77)) % 5.23/5.45 (define @t290 () (= @t289 @t257)) % 5.23/5.45 (define @t291 () (not @t290)) % 5.23/5.45 (define @t292 () (not @t220)) % 5.23/5.45 (define @t293 () (not @t211)) % 5.23/5.45 (define @t294 () (not @t128)) % 5.23/5.45 (define @t295 () (not @t163)) % 5.23/5.45 (define @t296 () (= @t98 @t191)) % 5.23/5.45 (define @t297 () (not @t296)) % 5.23/5.45 (define @t298 () (= @t75 @t123)) % 5.23/5.45 (define @t299 () (not @t298)) % 5.23/5.45 (define @t300 () (= @t109 (tptp.addition @t109 tptp.zero))) % 5.23/5.45 (define @t301 () (not @t300)) % 5.23/5.45 (define @t302 () (tptp.addition @t76 tptp.zero)) % 5.23/5.45 (define @t303 () (= @t76 @t302)) % 5.23/5.45 (define @t304 () (not @t303)) % 5.23/5.45 (define @t305 () (= @t107 @t167)) % 5.23/5.45 (define @t306 () (not @t305)) % 5.23/5.45 (define @t307 () (= tptp.zero @t95)) % 5.23/5.45 (define @t308 () (not @t307)) % 5.23/5.45 (define @t309 () (not @t223)) % 5.23/5.45 (define @t310 () (not @t108)) % 5.23/5.45 (define @t311 () (= @t79 @t233)) % 5.23/5.45 (define @t312 () (= @t82 @t232)) % 5.23/5.45 (define @t313 () (= false true)) % 5.23/5.45 (define @t314 () (tptp.addition @t191 @t75)) % 5.23/5.45 (define @t315 () (tptp.addition @t76 @t75)) % 5.23/5.45 (define @t316 () (tptp.multiplication @t302 @t98)) % 5.23/5.45 (define @t317 () (tptp.multiplication @t76 @t98)) % 5.23/5.45 (define @t318 () (tptp.addition @t317 @t75)) % 5.23/5.45 (define @t319 () (tptp.addition @t98 @t93)) % 5.23/5.45 (define @t320 () (tptp.multiplication @t123 @t98)) % 5.23/5.45 (define @t321 () (tptp.c @t80)) % 5.23/5.45 (define @t322 () (tptp.addition @t80 @t80)) % 5.23/5.45 (define @t323 () (tptp.addition @t193 tptp.zero)) % 5.23/5.45 (define @t324 () (tptp.multiplication @t323 @t76)) % 5.23/5.45 (define @t325 () (tptp.multiplication @t79 @t174)) % 5.23/5.45 (define @t326 () (tptp.multiplication @t276 @t75)) % 5.23/5.45 (define @t327 () (tptp.c @t289)) % 5.23/5.45 (define @t328 () (tptp.addition @t75 @t80)) % 5.23/5.45 (define @t329 () (and @t277 @t311 @t236 @t312 @t92)) % 5.23/5.45 (define @t330 () (tptp.test @t77)) % 5.23/5.45 (define @t331 () (or @t330 @t307)) % 5.23/5.45 (define @t332 () (tptp.addition @t96 @t95)) % 5.23/5.45 (define @t333 () (= @t94 @t332)) % 5.23/5.45 (define @t334 () (not @t330)) % 5.23/5.45 (define @t335 () (or @t88 @t334 @t333)) % 5.23/5.45 (define @t336 () (forall @t30 (not (tptp.complement @t28 @t77)))) % 5.23/5.45 (define @t337 () (@quantifiers_skolemize @t336 0)) % 5.23/5.45 (define @t338 () (tptp.complement @t77 @t337)) % 5.23/5.45 (define @t339 () (= @t338 (= @t337 @t95))) % 5.23/5.45 (define @t340 () (or @t334 @t339)) % 5.23/5.45 (define @t341 () (@list @t77 @t337)) % 5.23/5.45 (define @t342 () (= @t95 @t337)) % 5.23/5.45 (define @t343 () (= @t338 @t342)) % 5.23/5.45 (define @t344 () (or @t334 @t343)) % 5.23/5.45 (define @t345 () (@list @t337 @t77)) % 5.23/5.45 (define @t346 () (not @t336)) % 5.23/5.45 (define @t347 () (= @t330 @t346)) % 5.23/5.45 (define @t348 () (tptp.complement @t337 @t77)) % 5.23/5.45 (define @t349 () (not @t348)) % 5.23/5.45 (define @t350 () (not @t349)) % 5.23/5.45 (define @t351 () (tptp.addition @t77 @t337)) % 5.23/5.45 (define @t352 () (= tptp.one @t351)) % 5.23/5.45 (define @t353 () (= tptp.zero (tptp.multiplication @t337 @t77))) % 5.23/5.45 (define @t354 () (= tptp.zero (tptp.multiplication @t77 @t337))) % 5.23/5.45 (define @t355 () (and @t354 @t353 @t352)) % 5.23/5.45 (define @t356 () (= @t348 @t355)) % 5.23/5.45 (define @t357 () (not @t355)) % 5.23/5.45 (define @t358 () (@list @t355)) % 5.23/5.45 (define @t359 () (tptp.addition @t337 @t77)) % 5.23/5.45 (define @t360 () (= @t351 @t359)) % 5.23/5.45 (define @t361 () (= tptp.one @t359)) % 5.23/5.45 (define @t362 () (and @t352 @t360)) % 5.23/5.45 (define @t363 () (and @t353 @t354 @t361)) % 5.23/5.45 (define @t364 () (= @t338 @t363)) % 5.23/5.45 (define @t365 () (not @t338)) % 5.23/5.45 (define @t366 () (@list @t337)) % 5.23/5.45 (define @t367 () (forall @t30 (not (tptp.complement @t28 @t337)))) % 5.23/5.45 (define @t368 () (not @t367)) % 5.23/5.45 (define @t369 () (tptp.test @t337)) % 5.23/5.45 (define @t370 () (= @t369 @t368)) % 5.23/5.45 (define @t371 () (not @t370)) % 5.23/5.45 (define @t372 () (tptp.c @t337)) % 5.23/5.45 (define @t373 () (tptp.addition @t337 @t337)) % 5.23/5.45 (define @t374 () (tptp.c @t373)) % 5.23/5.45 (define @t375 () (= @t374 (tptp.multiplication @t372 @t372))) % 5.23/5.45 (define @t376 () (not @t369)) % 5.23/5.45 (define @t377 () (or @t376 @t376 @t375)) % 5.23/5.45 (define @t378 () (tptp.c @t94)) % 5.23/5.45 (define @t379 () (@quantifiers_skolemize @t196 0)) % 5.23/5.45 (define @t380 () (tptp.addition @t379 @t98)) % 5.23/5.45 (define @t381 () (tptp.addition @t134 @t75)) % 5.23/5.45 (define @t382 () (tptp.addition @t98 @t167)) % 5.23/5.45 (define @t383 () (= @t382 @t314)) % 5.23/5.45 (define @t384 () (= @t314 @t382)) % 5.23/5.45 (define @t385 () (tptp.multiplication @t96 @t76)) % 5.23/5.45 (define @t386 () (tptp.multiplication @t95 @t76)) % 5.23/5.45 (define @t387 () (tptp.addition @t95 @t386)) % 5.23/5.45 (define @t388 () (tptp.multiplication @t385 @t378)) % 5.23/5.45 (define @t389 () (tptp.multiplication @t386 @t378)) % 5.23/5.45 (define @t390 () (@list @t76 @t96 @t95)) % 5.23/5.45 (define @t391 () (tptp.c (tptp.multiplication @t75 @t78))) % 5.23/5.45 (define @t392 () (tptp.addition @t76 @t96)) % 5.23/5.45 (define @t393 () (tptp.addition @t76 @t95)) % 5.23/5.45 (define @t394 () (@list @t76 @t379)) % 5.23/5.45 (define @t395 () (@list @t77 @t75)) % 5.23/5.45 (define @t396 () (tptp.addition @t95 @t76)) % 5.23/5.45 (define @t397 () (tptp.c (tptp.multiplication @t77 @t75))) % 5.23/5.45 (define @t398 () (= @t397 @t396)) % 5.23/5.45 (define @t399 () (or @t334 @t86 @t398)) % 5.23/5.45 (define @t400 () (tptp.c (tptp.multiplication @t77 @t78))) % 5.23/5.45 (define @t401 () (tptp.addition @t95 @t96)) % 5.23/5.45 (define @t402 () (or @t334 @t88 (= @t400 @t401))) % 5.23/5.45 (define @t403 () (forall @t41 @t207)) % 5.23/5.45 (define @t404 () (= @t401 @t400)) % 5.23/5.45 (define @t405 () (or @t334 @t88 @t404)) % 5.23/5.45 (define @t406 () (tptp.multiplication @t95 @t95)) % 5.23/5.45 (define @t407 () (tptp.addition @t77 @t77)) % 5.23/5.45 (define @t408 () (tptp.c @t407)) % 5.23/5.45 (define @t409 () (= @t408 @t406)) % 5.23/5.45 (define @t410 () (or @t334 @t334 @t409)) % 5.23/5.45 (define @t411 () (tptp.addition @t75 @t78)) % 5.23/5.45 (define @t412 () (tptp.c @t411)) % 5.23/5.45 (define @t413 () (tptp.multiplication @t76 @t96)) % 5.23/5.45 (define @t414 () (or @t86 @t88 (= @t412 @t413))) % 5.23/5.45 (define @t415 () (@list @t75 @t78)) % 5.23/5.45 (define @t416 () (= @t413 @t412)) % 5.23/5.45 (define @t417 () (or @t86 @t88 @t416)) % 5.23/5.45 (define @t418 () (tptp.addition @t75 @t77)) % 5.23/5.45 (define @t419 () (tptp.c @t418)) % 5.23/5.45 (define @t420 () (tptp.multiplication @t76 @t95)) % 5.23/5.45 (define @t421 () (or @t86 @t334 (= @t419 @t420))) % 5.23/5.45 (define @t422 () (= @t420 @t419)) % 5.23/5.45 (define @t423 () (or @t86 @t334 @t422)) % 5.23/5.45 (define @t424 () (tptp.addition @t78 @t75)) % 5.23/5.45 (define @t425 () (tptp.c @t424)) % 5.23/5.45 (define @t426 () (or @t88 @t86 (= @t425 @t385))) % 5.23/5.45 (define @t427 () (@list @t78 @t75)) % 5.23/5.45 (define @t428 () (= @t385 @t425)) % 5.23/5.45 (define @t429 () (or @t88 @t86 @t428)) % 5.23/5.45 (define @t430 () (tptp.addition @t77 @t75)) % 5.23/5.45 (define @t431 () (tptp.c @t430)) % 5.23/5.45 (define @t432 () (or @t334 @t86 (= @t431 @t386))) % 5.23/5.45 (define @t433 () (= @t386 @t431)) % 5.23/5.45 (define @t434 () (or @t334 @t86 @t433)) % 5.23/5.45 (define @t435 () (= @t77 @t372)) % 5.23/5.45 (define @t436 () (= @t348 @t435)) % 5.23/5.45 (define @t437 () (or @t376 @t436)) % 5.23/5.45 (define @t438 () (tptp.complement @t379 @t76)) % 5.23/5.45 (define @t439 () (not @t438)) % 5.23/5.45 (define @t440 () (not @t439)) % 5.23/5.45 (define @t441 () (tptp.addition @t76 @t379)) % 5.23/5.45 (define @t442 () (= tptp.one @t441)) % 5.23/5.45 (define @t443 () (tptp.multiplication @t76 @t379)) % 5.23/5.45 (define @t444 () (= tptp.zero @t443)) % 5.23/5.45 (define @t445 () (and @t444 (= tptp.zero (tptp.multiplication @t379 @t76)) @t442)) % 5.23/5.45 (define @t446 () (= @t438 @t445)) % 5.23/5.45 (define @t447 () (not @t445)) % 5.23/5.45 (define @t448 () (@list @t445)) % 5.23/5.45 (define @t449 () (= @t424 @t411)) % 5.23/5.45 (define @t450 () (= @t411 @t424)) % 5.23/5.45 (define @t451 () (= @t391 @t392)) % 5.23/5.45 (define @t452 () (or @t86 @t88 @t451)) % 5.23/5.45 (define @t453 () (= @t337 (tptp.multiplication @t337 tptp.one))) % 5.23/5.45 (define @t454 () (not @t453)) % 5.23/5.45 (define @t455 () (= @t337 @t373)) % 5.23/5.45 (define @t456 () (not @t455)) % 5.23/5.45 (define @t457 () (not @t375)) % 5.23/5.45 (define @t458 () (not @t342)) % 5.23/5.45 (define @t459 () (tptp.multiplication @t134 @t76)) % 5.23/5.45 (define @t460 () (tptp.addition @t459 @t209)) % 5.23/5.45 (define @t461 () (tptp.multiplication @t381 @t76)) % 5.23/5.45 (define @t462 () (= @t461 @t460)) % 5.23/5.45 (define @t463 () (not @t462)) % 5.23/5.45 (define @t464 () (tptp.multiplication @t95 @t378)) % 5.23/5.45 (define @t465 () (tptp.addition @t386 @t464)) % 5.23/5.45 (define @t466 () (= (tptp.multiplication @t95 (tptp.addition @t76 @t378)) @t465)) % 5.23/5.45 (define @t467 () (not @t466)) % 5.23/5.45 (define @t468 () (tptp.addition @t406 @t386)) % 5.23/5.45 (define @t469 () (= (tptp.multiplication @t95 @t396) @t468)) % 5.23/5.45 (define @t470 () (not @t469)) % 5.23/5.45 (define @t471 () (tptp.multiplication @t95 @t393)) % 5.23/5.45 (define @t472 () (= @t471 (tptp.addition @t386 @t406))) % 5.23/5.45 (define @t473 () (not @t472)) % 5.23/5.45 (define @t474 () (tptp.multiplication tptp.one @t95)) % 5.23/5.45 (define @t475 () (= @t95 @t474)) % 5.23/5.45 (define @t476 () (not @t475)) % 5.23/5.45 (define @t477 () (tptp.multiplication @t76 @t380)) % 5.23/5.45 (define @t478 () (tptp.multiplication @t381 @t477)) % 5.23/5.45 (define @t479 () (= @t478 (tptp.multiplication @t461 @t380))) % 5.23/5.45 (define @t480 () (not @t479)) % 5.23/5.45 (define @t481 () (tptp.multiplication @t95 @t477)) % 5.23/5.45 (define @t482 () (= @t481 (tptp.multiplication @t386 @t380))) % 5.23/5.45 (define @t483 () (not @t482)) % 5.23/5.45 (define @t484 () (tptp.multiplication @t94 @t76)) % 5.23/5.45 (define @t485 () (tptp.multiplication @t484 @t380)) % 5.23/5.45 (define @t486 () (= (tptp.multiplication @t94 @t477) @t485)) % 5.23/5.45 (define @t487 () (not @t486)) % 5.23/5.45 (define @t488 () (not @t384)) % 5.23/5.45 (define @t489 () (tptp.addition @t387 @t385)) % 5.23/5.45 (define @t490 () (= @t489 (tptp.addition @t385 @t387))) % 5.23/5.45 (define @t491 () (not @t490)) % 5.23/5.45 (define @t492 () (tptp.addition @t388 @t389)) % 5.23/5.45 (define @t493 () (tptp.addition @t389 @t388)) % 5.23/5.45 (define @t494 () (= @t493 @t492)) % 5.23/5.45 (define @t495 () (not @t494)) % 5.23/5.45 (define @t496 () (tptp.addition @t386 @t385)) % 5.23/5.45 (define @t497 () (= (tptp.multiplication @t496 @t378) @t493)) % 5.23/5.45 (define @t498 () (not @t497)) % 5.23/5.45 (define @t499 () (tptp.addition @t317 @t443)) % 5.23/5.45 (define @t500 () (= (tptp.multiplication @t76 (tptp.addition @t98 @t379)) @t499)) % 5.23/5.45 (define @t501 () (not @t500)) % 5.23/5.45 (define @t502 () (tptp.multiplication @t76 @t332)) % 5.23/5.45 (define @t503 () (= @t502 (tptp.addition @t413 @t420))) % 5.23/5.45 (define @t504 () (not @t503)) % 5.23/5.45 (define @t505 () (tptp.addition @t95 @t95)) % 5.23/5.45 (define @t506 () (= @t95 @t505)) % 5.23/5.45 (define @t507 () (not @t506)) % 5.23/5.45 (define @t508 () (= @t77 @t407)) % 5.23/5.45 (define @t509 () (not @t508)) % 5.23/5.45 (define @t510 () (tptp.addition @t391 @t95)) % 5.23/5.45 (define @t511 () (tptp.addition @t510 @t95)) % 5.23/5.45 (define @t512 () (= (tptp.addition @t391 @t505) @t511)) % 5.23/5.45 (define @t513 () (not @t512)) % 5.23/5.45 (define @t514 () (tptp.addition @t392 tptp.zero)) % 5.23/5.45 (define @t515 () (tptp.addition @t392 @t284)) % 5.23/5.45 (define @t516 () (= @t515 (tptp.addition @t514 @t95))) % 5.23/5.45 (define @t517 () (not @t516)) % 5.23/5.45 (define @t518 () (tptp.addition @t96 @t279)) % 5.23/5.45 (define @t519 () (tptp.addition @t518 @t76)) % 5.23/5.45 (define @t520 () (= (tptp.addition @t96 (tptp.addition @t279 @t76)) @t519)) % 5.23/5.45 (define @t521 () (not @t520)) % 5.23/5.45 (define @t522 () (tptp.addition @t95 @t496)) % 5.23/5.45 (define @t523 () (= @t522 @t489)) % 5.23/5.45 (define @t524 () (not @t523)) % 5.23/5.45 (define @t525 () (tptp.addition @t95 @t510)) % 5.23/5.45 (define @t526 () (= @t525 (tptp.addition (tptp.addition @t95 @t391) @t95))) % 5.23/5.45 (define @t527 () (not @t526)) % 5.23/5.45 (define @t528 () (tptp.addition @t76 @t518)) % 5.23/5.45 (define @t529 () (= @t528 (tptp.addition @t392 @t279))) % 5.23/5.45 (define @t530 () (not @t529)) % 5.23/5.45 (define @t531 () (tptp.addition @t385 @t386)) % 5.23/5.45 (define @t532 () (= @t496 @t531)) % 5.23/5.45 (define @t533 () (not @t532)) % 5.23/5.45 (define @t534 () (tptp.addition @t96 @t393)) % 5.23/5.45 (define @t535 () (tptp.addition @t393 @t96)) % 5.23/5.45 (define @t536 () (= @t535 @t534)) % 5.23/5.45 (define @t537 () (not @t536)) % 5.23/5.45 (define @t538 () (= @t441 (tptp.addition @t379 @t76))) % 5.23/5.45 (define @t539 () (not @t538)) % 5.23/5.45 (define @t540 () (= @t393 @t396)) % 5.23/5.45 (define @t541 () (not @t540)) % 5.23/5.45 (define @t542 () (not @t398)) % 5.23/5.45 (define @t543 () (not @t404)) % 5.23/5.45 (define @t544 () (not @t409)) % 5.23/5.45 (define @t545 () (not @t416)) % 5.23/5.45 (define @t546 () (not @t422)) % 5.23/5.45 (define @t547 () (not @t428)) % 5.23/5.45 (define @t548 () (not @t433)) % 5.23/5.45 (define @t549 () (not @t435)) % 5.23/5.45 (define @t550 () (not @t140)) % 5.23/5.45 (define @t551 () (not @t442)) % 5.23/5.45 (define @t552 () (not @t444)) % 5.23/5.45 (define @t553 () (tptp.multiplication tptp.zero @t98)) % 5.23/5.45 (define @t554 () (tptp.multiplication @t96 @t98)) % 5.23/5.45 (define @t555 () (tptp.addition @t96 tptp.zero)) % 5.23/5.45 (define @t556 () (tptp.multiplication @t555 @t98)) % 5.23/5.45 (define @t557 () (= @t556 (tptp.addition @t554 @t553))) % 5.23/5.45 (define @t558 () (not @t557)) % 5.23/5.45 (define @t559 () (= (tptp.multiplication @t401 @t76) @t496)) % 5.23/5.45 (define @t560 () (not @t559)) % 5.23/5.45 (define @t561 () (tptp.addition @t96 @t76)) % 5.23/5.45 (define @t562 () (tptp.addition @t95 @t561)) % 5.23/5.45 (define @t563 () (= @t562 (tptp.addition @t401 @t76))) % 5.23/5.45 (define @t564 () (not @t563)) % 5.23/5.45 (define @t565 () (tptp.addition @t555 @t95)) % 5.23/5.45 (define @t566 () (= (tptp.addition @t96 @t284) @t565)) % 5.23/5.45 (define @t567 () (not @t566)) % 5.23/5.45 (define @t568 () (= (tptp.addition @t76 @t555) @t514)) % 5.23/5.45 (define @t569 () (not @t568)) % 5.23/5.45 (define @t570 () (tptp.addition @t76 @t401)) % 5.23/5.45 (define @t571 () (= @t570 @t535)) % 5.23/5.45 (define @t572 () (not @t571)) % 5.23/5.45 (define @t573 () (= @t392 @t561)) % 5.23/5.45 (define @t574 () (not @t573)) % 5.23/5.45 (define @t575 () (not @t450)) % 5.23/5.45 (define @t576 () (not @t451)) % 5.23/5.45 (define @t577 () (tptp.multiplication tptp.zero @t76)) % 5.23/5.45 (define @t578 () (= tptp.zero @t577)) % 5.23/5.45 (define @t579 () (not @t578)) % 5.23/5.45 (define @t580 () (= tptp.zero (tptp.multiplication @t76 tptp.zero))) % 5.23/5.45 (define @t581 () (not @t580)) % 5.23/5.45 (define @t582 () (= @t96 @t555)) % 5.23/5.45 (define @t583 () (not @t582)) % 5.23/5.45 (define @t584 () (= @t430 @t418)) % 5.23/5.45 (define @t585 () (not @t584)) % 5.23/5.45 (define @t586 () (= tptp.zero @t94)) % 5.23/5.45 (define @t587 () (not @t586)) % 5.23/5.45 (define @t588 () (= @t332 @t401)) % 5.23/5.45 (define @t589 () (not @t588)) % 5.23/5.45 (define @t590 () (not @t333)) % 5.23/5.45 (define @t591 () (tptp.multiplication @t378 @t95)) % 5.23/5.45 (define @t592 () (= tptp.zero @t591)) % 5.23/5.45 (define @t593 () (not @t592)) % 5.23/5.45 (define @t594 () (tptp.c @t284)) % 5.23/5.45 (define @t595 () (tptp.c @t95)) % 5.23/5.45 (define @t596 () (tptp.multiplication @t595 @t595)) % 5.23/5.45 (define @t597 () (tptp.c @t596)) % 5.23/5.45 (define @t598 () (tptp.c @t595)) % 5.23/5.45 (define @t599 () (tptp.multiplication @t378 @t598)) % 5.23/5.45 (define @t600 () (tptp.c @t332)) % 5.23/5.45 (define @t601 () (tptp.c tptp.zero)) % 5.23/5.45 (define @t602 () (tptp.multiplication @t601 @t95)) % 5.23/5.45 (define @t603 () (tptp.multiplication @t95 @t601)) % 5.23/5.45 (define @t604 () (and @t593 @t592)) % 5.23/5.45 (define @t605 () (tptp.test @t79)) % 5.23/5.45 (define @t606 () (or @t605 @t586)) % 5.23/5.45 (define @t607 () (= @t321 @t175)) % 5.23/5.45 (define @t608 () (not @t605)) % 5.23/5.45 (define @t609 () (or @t608 @t205 @t607)) % 5.23/5.45 (define @t610 () (= @t175 (tptp.addition @t93 @t94))) % 5.23/5.45 (define @t611 () (tptp.addition @t93 @t93)) % 5.23/5.45 (define @t612 () (= @t93 @t611)) % 5.23/5.45 (define @t613 () (tptp.addition @t109 @t109)) % 5.23/5.45 (define @t614 () (= (tptp.multiplication @t98 @t123) @t613)) % 5.23/5.45 (define @t615 () (tptp.addition @t229 @t96)) % 5.23/5.45 (define @t616 () (tptp.addition @t93 @t401)) % 5.23/5.45 (define @t617 () (= @t616 @t615)) % 5.23/5.45 (define @t618 () (tptp.addition @t174 @t176)) % 5.23/5.45 (define @t619 () (= (tptp.addition @t176 @t174) @t618)) % 5.23/5.45 (define @t620 () (tptp.addition @t177 @t95)) % 5.23/5.46 (define @t621 () (= (tptp.addition @t95 @t177) @t620)) % 5.23/5.46 (define @t622 () (tptp.addition @t93 @t332)) % 5.23/5.46 (define @t623 () (= @t622 (tptp.addition @t178 @t95))) % 5.23/5.46 (define @t624 () (tptp.addition @t123 @t176)) % 5.23/5.46 (define @t625 () (tptp.addition @t75 @t176)) % 5.23/5.46 (define @t626 () (tptp.addition @t75 @t625)) % 5.23/5.46 (define @t627 () (= @t626 @t624)) % 5.23/5.46 (define @t628 () (= tptp.zero @t183)) % 5.23/5.46 (define @t629 () (tptp.addition @t75 @t190)) % 5.23/5.46 (define @t630 () (= (tptp.addition @t190 @t75) @t629)) % 5.23/5.46 (define @t631 () (tptp.addition @t75 @t134)) % 5.23/5.46 (define @t632 () (= @t631 @t381)) % 5.23/5.46 (define @t633 () (tptp.addition @t75 @t174)) % 5.23/5.46 (define @t634 () (tptp.addition @t633 @t176)) % 5.23/5.46 (define @t635 () (= (tptp.addition @t75 @t618) @t634)) % 5.23/5.46 (define @t636 () (tptp.multiplication @t79 @t618)) % 5.23/5.46 (define @t637 () (= @t636 (tptp.addition @t325 (tptp.multiplication @t79 @t176)))) % 5.23/5.46 (define @t638 () (tptp.addition @t337 @t631)) % 5.23/5.46 (define @t639 () (tptp.addition @t176 @t75)) % 5.23/5.46 (define @t640 () (and @t81 @t333 @t607 @t610 @t588 @t112 @t110 @t108 @t223 @t305 @t303 @t612 @t614 @t578 @t617 @t300 @t298 @t296 @t140 @t163 @t128 @t204 @t211 @t220 @t287 @t619 @t621 @t180 @t623 @t627 @t277 @t188 @t272 @t628 @t630 @t632 @t635 @t262 @t255 @t253 @t637 @t250 @t342 @t238)) % 5.23/5.46 (assume @p1 @t5) % 5.23/5.46 (assume @p2 @t8) % 5.23/5.46 (assume @p3 @t11) % 5.23/5.46 (assume @p4 @t13) % 5.23/5.46 (assume @p5 @t17) % 5.23/5.46 (assume @p6 @t19) % 5.23/5.46 (assume @p7 @t21) % 5.23/5.46 (assume @p8 (forall @t16 (= (tptp.multiplication @t1 @t7) (tptp.addition @t14 @t22)))) % 5.23/5.46 (assume @p9 (forall @t16 (= (tptp.multiplication @t3 @t6) (tptp.addition @t22 @t15)))) % 5.23/5.46 (assume @p10 @t24) % 5.23/5.46 (assume @p11 @t26) % 5.23/5.46 (assume @p12 (forall @t4 (= (tptp.leq @t1 @t2) (= @t3 @t2)))) % 5.23/5.46 (assume @p13 @t35) % 5.23/5.46 (assume @p14 @t42) % 5.23/5.46 (assume @p15 @t47) % 5.23/5.46 (assume @p16 @t50) % 5.23/5.46 (assume @p17 @t55) % 5.23/5.46 (assume @p18 @t57) % 5.23/5.46 (assume @p19 @t67) % 5.23/5.46 (assume @p20 true) % 5.23/5.46 (step @p21 :rule aci_norm :args ((= (or (or @t71 @t70) (or @t69 @t59)) @t72))) % 5.23/5.46 (step @p22 :rule bool-impl-elim :args (@t68 @t59)) % 5.23/5.46 (step @p23 :rule bool-and-de-morgan :args (@t53 @t62 true)) % 5.23/5.46 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or (not @t63) @t73))) % 5.23/5.46 (step @p25 :rule trans :premises (@p24 @p21)) % 5.23/5.46 (step @p26 :rule bool-impl-elim :args (@t63 @t73)) % 5.23/5.46 (step @p27 :rule trans :premises (@p26 @p25)) % 5.23/5.46 (step @p28 :rule cong :premises (@p27) :args ((forall @t65 (=> @t63 @t73)))) % 5.23/5.46 (step @p29 :rule refl :args (@t59)) % 5.23/5.46 (step @p30 :rule eq-symm :args (@t60 tptp.zero)) % 5.23/5.46 (step @p31 :rule cong :premises (@p30 @p29) :args (@t61)) % 5.23/5.46 (step @p32 :rule refl :args (@t63)) % 5.23/5.46 (step @p33 :rule cong :premises (@p32 @p31) :args (@t64)) % 5.23/5.46 (step @p34 :rule cong :premises (@p33) :args (@t66)) % 5.23/5.46 (step @p35 :rule trans :premises (@p34 @p28)) % 5.23/5.46 (step @p36 :rule cong :premises (@p35) :args (@t67)) % 5.23/5.46 (step @p37 :rule eq_resolve :premises (@p19 @p36)) % 5.23/5.46 (step @p38 :rule skolemize :premises (@p37)) % 5.23/5.46 (step @p39 :rule bool-double-not-elim :args (@t81)) % 5.23/5.46 (step @p40 :rule refl :args (@t89)) % 5.23/5.46 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t89 (not @t84)))) % 5.23/5.46 (step @p42 :rule cnf_or_neg :args (@t89 2)) % 5.23/5.46 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 5.23/5.46 (step @p44 :rule reordering :premises (@p43) :args ((or @t81 @t89))) % 5.23/5.46 (step @p45 :rule chain_m_resolution :premises (@p44 @p38) :args (@t81 @t90 @t91)) % 5.23/5.46 (step @p46 :rule cnf_or_neg :args (@t89 3)) % 5.23/5.46 (step @p47 :rule chain_m_resolution :premises (@p46 @p38) :args (@t92 @t90 @t91)) % 5.23/5.46 (step @p48 :rule instantiate :premises (@p1) :args ((@list @t94 @t93))) % 5.23/5.46 (step @p49 :rule instantiate :premises (@p1) :args ((@list @t96 @t95))) % 5.23/5.46 (step @p50 :rule eq-symm :args (@t36 tptp.one)) % 5.23/5.46 (step @p51 :rule eq-symm :args (@t37 tptp.zero)) % 5.23/5.46 (step @p52 :rule eq-symm :args (@t38 tptp.zero)) % 5.23/5.46 (step @p53 :rule nary_cong :premises (@p52 @p51 @p50) :args (@t39)) % 5.23/5.46 (step @p54 :rule refl :args (@t29)) % 5.23/5.46 (step @p55 :rule cong :premises (@p54 @p53) :args (@t40)) % 5.23/5.46 (step @p56 :rule cong :premises (@p55) :args (@t42)) % 5.23/5.46 (step @p57 :rule eq_resolve :premises (@p14 @p56)) % 5.23/5.46 (step @p58 :rule instantiate :premises (@p57) :args (@t99)) % 5.23/5.46 (step @p59 :rule exists-elim :args ((= @t31 (not (forall @t30 (not @t29)))))) % 5.23/5.46 (step @p60 :rule refl :args (@t32)) % 5.23/5.46 (step @p61 :rule cong :premises (@p60 @p59) :args (@t33)) % 5.23/5.46 (step @p62 :rule cong :premises (@p61) :args (@t35)) % 5.23/5.46 (step @p63 :rule eq_resolve :premises (@p13 @p62)) % 5.23/5.46 (step @p64 :rule instantiate :premises (@p63) :args (@t100)) % 5.23/5.46 (step @p65 :rule bool-double-not-elim :args (@t85)) % 5.23/5.46 (step @p66 :rule nary_cong :premises (@p40 @p65) :args ((or @t89 (not @t86)))) % 5.23/5.46 (step @p67 :rule cnf_or_neg :args (@t89 1)) % 5.23/5.46 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 5.23/5.46 (step @p69 :rule reordering :premises (@p68) :args ((or @t85 @t89))) % 5.23/5.46 (step @p70 :rule chain_m_resolution :premises (@p69 @p38) :args (@t85 @t90 @t91)) % 5.23/5.46 (step @p71 :rule cnf_equiv_pos1 :args (@t102)) % 5.23/5.46 (step @p72 :rule reordering :premises (@p71) :args ((or @t86 @t101 (not @t102)))) % 5.23/5.46 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p64) :args (@t101 @t103 (@list @t85 @t102))) % 5.23/5.46 (step @p74 :rule refl :args (@t104)) % 5.23/5.46 (step @p75 :rule bool-double-not-elim :args (@t97)) % 5.23/5.46 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or (not @t101) @t104))) % 5.23/5.46 (step @p77 :rule bool-double-not-elim :args (@t104)) % 5.23/5.46 (step @p78 :rule refl :args (@t101)) % 5.23/5.46 (step @p79 :rule cong :premises (@p78 @p77) :args ((=> @t101 @t106))) % 5.23/5.46 (assume-push @p2016 @t101) % 5.23/5.46 (step @p81 :rule skolemize :premises (@p73)) % 5.23/5.46 (step-pop @p2017 :rule scope :premises (@p81)) % 5.23/5.46 (step @p82 :rule process_scope :premises (@p2017) :args (@t106)) % 5.23/5.46 (step @p84 :rule eq_resolve :premises (@p82 @p79)) % 5.23/5.46 (step @p85 :rule implies_elim :premises (@p84)) % 5.23/5.46 (step @p86 :rule eq_resolve :premises (@p85 @p76)) % 5.23/5.46 (step @p87 :rule chain_m_resolution :premises (@p86 @p73) :args (@t104 @t90 (@list @t97))) % 5.23/5.46 (step @p88 :rule cnf_equiv_pos1 :args (@t114)) % 5.23/5.46 (step @p89 :rule reordering :premises (@p88) :args ((or @t105 @t113 (not @t114)))) % 5.23/5.46 (step @p90 :rule chain_m_resolution :premises (@p89 @p87 @p58) :args (@t113 @t103 (@list @t104 @t114))) % 5.23/5.46 (step @p91 :rule cnf_and_pos :args (@t113 0)) % 5.23/5.46 (step @p92 :rule reordering :premises (@p91) :args ((or @t112 @t115))) % 5.23/5.46 (step @p93 :rule chain_m_resolution :premises (@p92 @p90) :args (@t112 @t116 @t117)) % 5.23/5.46 (step @p94 :rule cnf_and_pos :args (@t113 1)) % 5.23/5.46 (step @p95 :rule reordering :premises (@p94) :args ((or @t110 @t115))) % 5.23/5.46 (step @p96 :rule chain_m_resolution :premises (@p95 @p90) :args (@t110 @t116 @t117)) % 5.23/5.46 (step @p97 :rule cnf_and_pos :args (@t113 2)) % 5.23/5.46 (step @p98 :rule reordering :premises (@p97) :args ((or @t108 @t115))) % 5.23/5.46 (step @p99 :rule chain_m_resolution :premises (@p98 @p90) :args (@t108 @t116 @t117)) % 5.23/5.46 (step @p100 :rule instantiate :premises (@p1) :args (@t99)) % 5.23/5.46 (step @p101 :rule eq-symm :args (@t9 @t1)) % 5.23/5.46 (step @p102 :rule cong :premises (@p101) :args (@t11)) % 5.23/5.46 (step @p103 :rule eq_resolve :premises (@p3 @p102)) % 5.23/5.46 (step @p104 :rule instantiate :premises (@p103) :args (@t118)) % 5.23/5.46 (step @p105 :rule eq-symm :args (@t12 @t1)) % 5.23/5.46 (step @p106 :rule cong :premises (@p105) :args (@t13)) % 5.23/5.46 (step @p107 :rule eq_resolve :premises (@p4 @p106)) % 5.23/5.46 (step @p108 :rule instantiate :premises (@p107) :args ((@list @t93))) % 5.23/5.46 (step @p109 :rule instantiate :premises (@p8) :args ((@list @t98 @t75 @t75))) % 5.23/5.46 (step @p110 :rule eq-symm :args (@t25 tptp.zero)) % 5.23/5.46 (step @p111 :rule cong :premises (@p110) :args (@t26)) % 5.23/5.46 (step @p112 :rule eq_resolve :premises (@p11 @p111)) % 5.23/5.46 (step @p113 :rule instantiate :premises (@p112) :args (@t118)) % 5.23/5.46 (step @p114 :rule instantiate :premises (@p2) :args ((@list @t96 @t95 @t93))) % 5.23/5.46 (step @p115 :rule instantiate :premises (@p103) :args ((@list @t109))) % 5.23/5.46 (step @p116 :rule instantiate :premises (@p107) :args (@t100)) % 5.23/5.46 (step @p117 :rule instantiate :premises (@p107) :args (@t119)) % 5.23/5.46 (step @p118 :rule aci_norm :args ((= (or @t121 @t52) @t120))) % 5.23/5.46 (step @p119 :rule refl :args (@t52)) % 5.23/5.46 (step @p120 :rule bool-and-de-morgan :args (@t32 @t53 true)) % 5.23/5.46 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or @t122 @t52))) % 5.23/5.46 (step @p122 :rule trans :premises (@p121 @p118)) % 5.23/5.46 (step @p123 :rule bool-impl-elim :args (@t54 @t52)) % 5.23/5.46 (step @p124 :rule trans :premises (@p123 @p122)) % 5.23/5.46 (step @p125 :rule cong :premises (@p124) :args (@t55)) % 5.23/5.46 (step @p126 :rule eq_resolve :premises (@p17 @p125)) % 5.23/5.46 (step @p127 :rule eq-symm :args (@t124 @t125)) % 5.23/5.46 (step @p128 :rule refl :args (@t86)) % 5.23/5.46 (step @p129 :rule nary_cong :premises (@p128 @p128 @p127) :args (@t126)) % 5.23/5.46 (step @p130 :rule refl :args (@t127)) % 5.23/5.46 (step @p131 :rule cong :premises (@p130 @p129) :args ((=> @t127 @t126))) % 5.23/5.46 (assume-push @p2018 @t127) % 5.23/5.46 (step @p133 :rule instantiate :premises (@p126) :args ((@list @t75 @t75))) % 5.23/5.46 (step-pop @p2019 :rule scope :premises (@p133)) % 5.23/5.46 (step @p134 :rule process_scope :premises (@p2019) :args (@t126)) % 5.23/5.46 (step @p136 :rule eq_resolve :premises (@p134 @p131)) % 5.23/5.46 (step @p137 :rule implies_elim :premises (@p136)) % 5.23/5.46 (step @p138 :rule chain_m_resolution :premises (@p137 @p126) :args (@t129 @t116 @t130)) % 5.23/5.46 (step @p139 :rule cnf_or_pos :args (@t129)) % 5.23/5.46 (step @p140 :rule factoring :premises (@p139)) % 5.23/5.46 (step @p141 :rule reordering :premises (@p140) :args ((or @t86 @t128 (not @t129)))) % 5.23/5.46 (step @p142 :rule chain_m_resolution :premises (@p141 @p70 @p138) :args (@t128 @t103 (@list @t85 @t129))) % 5.23/5.46 (step @p143 :rule bool-impl-elim :args (@t32 @t132)) % 5.23/5.46 (step @p144 :rule cong :premises (@p143) :args ((forall @t41 (=> @t32 @t132)))) % 5.23/5.46 (step @p145 :rule eq-symm :args (@t131 @t43)) % 5.23/5.46 (step @p146 :rule refl :args (@t43)) % 5.23/5.46 (step @p147 :rule eq-symm :args (@t44 @t28)) % 5.23/5.46 (step @p148 :rule cong :premises (@p147 @p146) :args (@t45)) % 5.23/5.46 (step @p149 :rule trans :premises (@p148 @p145)) % 5.23/5.46 (step @p150 :rule cong :premises (@p60 @p149) :args (@t46)) % 5.23/5.46 (step @p151 :rule cong :premises (@p150) :args (@t47)) % 5.23/5.46 (step @p152 :rule trans :premises (@p151 @p144)) % 5.23/5.46 (step @p153 :rule eq_resolve :premises (@p15 @p152)) % 5.23/5.46 (step @p154 :rule eq-symm :args (@t134 @t96)) % 5.23/5.46 (step @p155 :rule refl :args (@t135)) % 5.23/5.46 (step @p156 :rule cong :premises (@p155 @p154) :args (@t136)) % 5.23/5.46 (step @p157 :rule refl :args (@t88)) % 5.23/5.46 (step @p158 :rule nary_cong :premises (@p157 @p156) :args (@t137)) % 5.23/5.46 (step @p159 :rule refl :args (@t138)) % 5.23/5.46 (step @p160 :rule cong :premises (@p159 @p158) :args ((=> @t138 @t137))) % 5.23/5.46 (assume-push @p2020 @t138) % 5.23/5.46 (step @p162 :rule 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(step-pop @p2762 :rule scope :premises (@p2761)) % 5.23/5.46 (step-pop @p2763 :rule scope :premises (@p2762)) % 5.23/5.46 (step-pop @p2764 :rule scope :premises (@p2763)) % 5.23/5.46 (step-pop @p2765 :rule scope :premises (@p2764)) % 5.23/5.46 (step-pop @p2766 :rule scope :premises (@p2765)) % 5.23/5.46 (step-pop @p2767 :rule scope :premises (@p2766)) % 5.23/5.46 (step-pop @p2768 :rule scope :premises (@p2767)) % 5.23/5.46 (step-pop @p2769 :rule scope :premises (@p2768)) % 5.23/5.46 (step-pop @p2770 :rule scope :premises (@p2769)) % 5.23/5.46 (step-pop @p2771 :rule scope :premises (@p2770)) % 5.23/5.46 (step-pop @p2772 :rule scope :premises (@p2771)) % 5.23/5.46 (step-pop @p2773 :rule scope :premises (@p2772)) % 5.23/5.46 (step-pop @p2774 :rule scope :premises (@p2773)) % 5.23/5.46 (step-pop @p2775 :rule scope :premises (@p2774)) % 5.23/5.46 (step @p1966 :rule process_scope :premises (@p2775) :args (@t83)) % 5.23/5.46 (step @p2011 :rule implies_elim :premises (@p1966)) % 5.23/5.46 (step @p2012 :rule cnf_and_neg :args (@t640)) % 5.23/5.46 (step @p2013 :rule resolution :premises (@p2012 @p2011) :args (true @t640)) % 5.23/5.46 (step @p2014 :rule reordering :premises (@p2013) :args ((or @t84 @t83 @t590 (not @t607) (not @t610) @t589 @t171 @t170 @t310 @t309 @t306 @t304 (not @t612) (not @t614) @t579 (not @t617) @t301 @t299 @t297 @t550 @t295 @t294 (not @t204) @t293 @t292 @t288 (not @t619) (not @t621) (not @t180) (not @t623) (not @t627) @t278 (not @t188) @t273 (not @t628) (not @t630) (not @t632) (not @t635) @t263 @t256 @t254 (not @t637) @t251 @t458 @t239))) % 5.23/5.46 (step @p2015 false :rule chain_m_resolution :premises (@p2014 @p1710 @p851 @p775 @p352 @p348 @p341 @p322 @p310 @p284 @p283 @p282 @p281 @p280 @p279 @p278 @p277 @p276 @p275 @p271 @p261 @p260 @p259 @p258 @p248 @p247 @p246 @p245 @p219 @p142 @p117 @p116 @p115 @p114 @p113 @p109 @p108 @p104 @p100 @p99 @p96 @p93 @p49 @p48 @p47 @p45) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true false) (@list @t607 @t342 @t333 @t238 @t223 @t220 @t211 @t204 @t250 @t637 @t253 @t255 @t262 @t635 @t632 @t630 @t628 @t272 @t188 @t277 @t627 @t623 @t180 @t621 @t619 @t287 @t163 @t140 @t128 @t296 @t298 @t300 @t617 @t578 @t614 @t612 @t303 @t305 @t108 @t110 @t112 @t588 @t610 @t83 @t81))) % 5.23/5.46 ) % 5.23/5.46 % SZS output end Proof % 5.23/5.46 % cvc5 exiting %------------------------------------------------------------------------------