%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : KLE020+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 : n006.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 08:28:06 AM UTC 2026 % Result : Theorem 17.22s 17.44s % Output : Proof 17.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : KLE020+2 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 05:10:04 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 17.22/17.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 17.22/17.44 --- Run --no-e-matching --full-saturate-quant at 6... % 17.22/17.44 % SZS status Theorem % 17.22/17.44 % SZS output start Proof % 17.22/17.44 ( % 17.22/17.44 (declare-sort $$unsorted 0) % 17.22/17.44 (declare-const tptp.c (-> $$unsorted $$unsorted)) % 17.22/17.44 (declare-const tptp.test (-> $$unsorted Bool)) % 17.22/17.44 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 17.22/17.44 (declare-const tptp.multiplication (-> $$unsorted $$unsorted $$unsorted)) % 17.22/17.44 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 17.22/17.44 (declare-const tptp.zero $$unsorted) % 17.22/17.44 (declare-const tptp.one $$unsorted) % 17.22/17.44 (declare-const tptp.addition (-> $$unsorted $$unsorted $$unsorted)) % 17.22/17.44 (define @t1 () (@var "A" $$unsorted)) % 17.22/17.44 (define @t2 () (@var "B" $$unsorted)) % 17.22/17.44 (define @t3 () (tptp.addition @t1 @t2)) % 17.22/17.44 (define @t4 () (@list @t1 @t2)) % 17.22/17.44 (define @t5 () (forall @t4 (= @t3 (tptp.addition @t2 @t1)))) % 17.22/17.44 (define @t6 () (@var "C" $$unsorted)) % 17.22/17.44 (define @t7 () (tptp.addition @t2 @t6)) % 17.22/17.44 (define @t8 () (tptp.addition @t1 tptp.zero)) % 17.22/17.44 (define @t9 () (@list @t1)) % 17.22/17.44 (define @t10 () (forall @t9 (= @t8 @t1))) % 17.22/17.44 (define @t11 () (tptp.addition @t1 @t1)) % 17.22/17.44 (define @t12 () (forall @t9 (= @t11 @t1))) % 17.22/17.44 (define @t13 () (tptp.multiplication @t1 @t2)) % 17.22/17.44 (define @t14 () (tptp.multiplication @t2 @t6)) % 17.22/17.44 (define @t15 () (@list @t1 @t2 @t6)) % 17.22/17.44 (define @t16 () (tptp.multiplication @t1 tptp.one)) % 17.22/17.44 (define @t17 () (forall @t9 (= @t16 @t1))) % 17.22/17.44 (define @t18 () (tptp.multiplication tptp.one @t1)) % 17.22/17.44 (define @t19 () (forall @t9 (= @t18 @t1))) % 17.22/17.44 (define @t20 () (tptp.multiplication @t1 @t6)) % 17.22/17.44 (define @t21 () (tptp.multiplication @t1 tptp.zero)) % 17.22/17.44 (define @t22 () (forall @t9 (= @t21 tptp.zero))) % 17.22/17.44 (define @t23 () (tptp.multiplication tptp.zero @t1)) % 17.22/17.44 (define @t24 () (forall @t9 (= @t23 tptp.zero))) % 17.22/17.44 (define @t25 () (tptp.leq @t1 @t2)) % 17.22/17.44 (define @t26 () (= @t25 (= @t3 @t2))) % 17.22/17.44 (define @t27 () (forall @t4 @t26)) % 17.22/17.44 (define @t28 () (@var "X0" $$unsorted)) % 17.22/17.44 (define @t29 () (@var "X1" $$unsorted)) % 17.22/17.44 (define @t30 () (tptp.complement @t29 @t28)) % 17.22/17.44 (define @t31 () (@list @t29)) % 17.22/17.44 (define @t32 () (exists @t31 @t30)) % 17.22/17.44 (define @t33 () (tptp.test @t28)) % 17.22/17.44 (define @t34 () (= @t33 @t32)) % 17.22/17.44 (define @t35 () (@list @t28)) % 17.22/17.44 (define @t36 () (forall @t35 @t34)) % 17.22/17.44 (define @t37 () (tptp.addition @t28 @t29)) % 17.22/17.44 (define @t38 () (tptp.multiplication @t29 @t28)) % 17.22/17.44 (define @t39 () (tptp.multiplication @t28 @t29)) % 17.22/17.44 (define @t40 () (and (= @t39 tptp.zero) (= @t38 tptp.zero) (= @t37 tptp.one))) % 17.22/17.44 (define @t41 () (= @t30 @t40)) % 17.22/17.44 (define @t42 () (@list @t28 @t29)) % 17.22/17.44 (define @t43 () (forall @t42 @t41)) % 17.22/17.44 (define @t44 () (tptp.c @t28)) % 17.22/17.44 (define @t45 () (not @t33)) % 17.22/17.44 (define @t46 () (@var "X2" $$unsorted)) % 17.22/17.44 (define @t47 () (tptp.addition @t28 (tptp.multiplication @t29 @t46))) % 17.22/17.44 (define @t48 () (tptp.multiplication @t37 (tptp.addition @t28 @t46))) % 17.22/17.44 (define @t49 () (and (tptp.leq @t47 @t48) (tptp.leq @t48 @t47))) % 17.22/17.44 (define @t50 () (tptp.test @t46)) % 17.22/17.44 (define @t51 () (tptp.test @t29)) % 17.22/17.44 (define @t52 () (and @t33 @t51 @t50)) % 17.22/17.44 (define @t53 () (@list @t28 @t29 @t46)) % 17.22/17.44 (define @t54 () (forall @t53 (=> @t52 @t49))) % 17.22/17.44 (define @t55 () (not @t54)) % 17.22/17.44 (define @t56 () (not @t50)) % 17.22/17.44 (define @t57 () (not @t51)) % 17.22/17.44 (define @t58 () (or @t45 @t57 @t56 @t49)) % 17.22/17.44 (define @t59 () (forall @t53 @t58)) % 17.22/17.44 (define @t60 () (@quantifiers_skolemize @t59 1)) % 17.22/17.44 (define @t61 () (@quantifiers_skolemize @t59 0)) % 17.22/17.44 (define @t62 () (@list @t61)) % 17.22/17.44 (define @t63 () (@quantifiers_skolemize @t59 2)) % 17.22/17.44 (define @t64 () (@list @t63)) % 17.22/17.44 (define @t65 () (tptp.addition @t61 @t63)) % 17.22/17.44 (define @t66 () (@list @t60)) % 17.22/17.44 (define @t67 () (tptp.multiplication @t60 @t63)) % 17.22/17.44 (define @t68 () (forall @t31 (not (tptp.complement @t29 @t61)))) % 17.22/17.44 (define @t69 () (@quantifiers_skolemize @t68 0)) % 17.22/17.44 (define @t70 () (tptp.addition @t61 @t69)) % 17.22/17.44 (define @t71 () (tptp.addition @t69 @t61)) % 17.22/17.44 (define @t72 () (= @t70 @t71)) % 17.22/17.44 (define @t73 () (@list @t61 @t69)) % 17.22/17.44 (define @t74 () (= @t71 @t70)) % 17.22/17.44 (define @t75 () (@list false)) % 17.22/17.44 (define @t76 () (@list @t61 @t69 @t61)) % 17.22/17.44 (define @t77 () (or @t45 @t57 @t56)) % 17.22/17.44 (define @t78 () (tptp.test @t61)) % 17.22/17.44 (define @t79 () (tptp.addition @t61 @t67)) % 17.22/17.44 (define @t80 () (tptp.addition @t61 @t60)) % 17.22/17.44 (define @t81 () (tptp.multiplication @t80 @t65)) % 17.22/17.44 (define @t82 () (tptp.leq @t81 @t79)) % 17.22/17.44 (define @t83 () (tptp.leq @t79 @t81)) % 17.22/17.44 (define @t84 () (and @t83 @t82)) % 17.22/17.44 (define @t85 () (tptp.test @t63)) % 17.22/17.44 (define @t86 () (not @t85)) % 17.22/17.44 (define @t87 () (tptp.test @t60)) % 17.22/17.44 (define @t88 () (not @t87)) % 17.22/17.44 (define @t89 () (not @t78)) % 17.22/17.44 (define @t90 () (or @t89 @t88 @t86 @t84)) % 17.22/17.44 (define @t91 () (@list true)) % 17.22/17.44 (define @t92 () (@list @t90)) % 17.22/17.44 (define @t93 () (not @t68)) % 17.22/17.44 (define @t94 () (= @t78 @t93)) % 17.22/17.44 (define @t95 () (@list false false)) % 17.22/17.44 (define @t96 () (tptp.complement @t69 @t61)) % 17.22/17.44 (define @t97 () (not @t96)) % 17.22/17.44 (define @t98 () (not @t97)) % 17.22/17.44 (define @t99 () (= tptp.one @t70)) % 17.22/17.44 (define @t100 () (tptp.multiplication @t69 @t61)) % 17.22/17.44 (define @t101 () (= tptp.zero @t100)) % 17.22/17.44 (define @t102 () (and (= tptp.zero (tptp.multiplication @t61 @t69)) @t101 @t99)) % 17.22/17.44 (define @t103 () (= @t96 @t102)) % 17.22/17.44 (define @t104 () (not @t102)) % 17.22/17.44 (define @t105 () (@list @t102)) % 17.22/17.44 (define @t106 () (tptp.multiplication @t61 @t61)) % 17.22/17.44 (define @t107 () (tptp.multiplication @t61 tptp.zero)) % 17.22/17.44 (define @t108 () (tptp.multiplication @t61 @t65)) % 17.22/17.44 (define @t109 () (tptp.multiplication @t60 @t65)) % 17.22/17.44 (define @t110 () (tptp.multiplication @t61 @t63)) % 17.22/17.44 (define @t111 () (tptp.multiplication @t60 @t61)) % 17.22/17.44 (define @t112 () (forall @t31 (not (tptp.complement @t29 @t63)))) % 17.22/17.44 (define @t113 () (@quantifiers_skolemize @t112 0)) % 17.22/17.44 (define @t114 () (not @t112)) % 17.22/17.44 (define @t115 () (= @t85 @t114)) % 17.22/17.44 (define @t116 () (tptp.complement @t113 @t63)) % 17.22/17.44 (define @t117 () (not @t116)) % 17.22/17.44 (define @t118 () (not @t117)) % 17.22/17.44 (define @t119 () (tptp.addition @t63 @t113)) % 17.22/17.44 (define @t120 () (= tptp.one @t119)) % 17.22/17.44 (define @t121 () (and (= tptp.zero (tptp.multiplication @t63 @t113)) (= tptp.zero (tptp.multiplication @t113 @t63)) @t120)) % 17.22/17.44 (define @t122 () (= @t116 @t121)) % 17.22/17.44 (define @t123 () (forall @t31 (not (tptp.complement @t29 @t60)))) % 17.22/17.44 (define @t124 () (@quantifiers_skolemize @t123 0)) % 17.22/17.44 (define @t125 () (@list @t60 @t124)) % 17.22/17.44 (define @t126 () (not @t123)) % 17.22/17.44 (define @t127 () (= @t87 @t126)) % 17.22/17.44 (define @t128 () (tptp.complement @t124 @t60)) % 17.22/17.44 (define @t129 () (not @t128)) % 17.22/17.44 (define @t130 () (not @t129)) % 17.22/17.44 (define @t131 () (tptp.addition @t60 @t124)) % 17.22/17.44 (define @t132 () (= tptp.one @t131)) % 17.22/17.44 (define @t133 () (and (= tptp.zero (tptp.multiplication @t60 @t124)) (= tptp.zero (tptp.multiplication @t124 @t60)) @t132)) % 17.22/17.44 (define @t134 () (= @t128 @t133)) % 17.22/17.44 (define @t135 () (@list @t79 @t81)) % 17.22/17.44 (define @t136 () (tptp.addition @t60 @t61)) % 17.22/17.44 (define @t137 () (tptp.multiplication @t136 @t65)) % 17.22/17.44 (define @t138 () (tptp.addition @t109 @t108)) % 17.22/17.44 (define @t139 () (tptp.addition @t79 @t138)) % 17.22/17.44 (define @t140 () (tptp.addition @t63 @t61)) % 17.22/17.44 (define @t141 () (tptp.multiplication @t60 @t140)) % 17.22/17.44 (define @t142 () (tptp.addition @t67 @t111)) % 17.22/17.44 (define @t143 () (tptp.addition @t79 @t142)) % 17.22/17.44 (define @t144 () (tptp.addition @t67 @t61)) % 17.22/17.44 (define @t145 () (tptp.addition @t67 @t144)) % 17.22/17.44 (define @t146 () (tptp.addition @t79 @t111)) % 17.22/17.44 (define @t147 () (tptp.multiplication @t71 @t61)) % 17.22/17.44 (define @t148 () (tptp.addition @t107 @t106)) % 17.22/17.44 (define @t149 () (tptp.multiplication tptp.zero @t61)) % 17.22/17.44 (define @t150 () (tptp.addition @t149 @t106)) % 17.22/17.44 (define @t151 () (tptp.addition @t111 @t106)) % 17.22/17.44 (define @t152 () (tptp.multiplication @t80 @t61)) % 17.22/17.44 (define @t153 () (tptp.addition @t152 @t67)) % 17.22/17.44 (define @t154 () (tptp.addition @t61 @t111)) % 17.22/17.44 (define @t155 () (tptp.addition @t154 @t67)) % 17.22/17.44 (define @t156 () (tptp.addition @t106 @t109)) % 17.22/17.44 (define @t157 () (tptp.addition @t156 @t108)) % 17.22/17.44 (define @t158 () (tptp.addition @t108 @t109)) % 17.22/17.44 (define @t159 () (tptp.addition @t61 @t158)) % 17.22/17.44 (define @t160 () (tptp.addition @t106 @t110)) % 17.22/17.44 (define @t161 () (tptp.addition @t61 @t160)) % 17.22/17.44 (define @t162 () (tptp.multiplication @t61 tptp.one)) % 17.22/17.44 (define @t163 () (tptp.addition @t106 @t162)) % 17.22/17.44 (define @t164 () (tptp.addition @t61 @t71)) % 17.22/17.44 (define @t165 () (tptp.addition @t71 @t61)) % 17.22/17.44 (define @t166 () (tptp.addition @t79 @t81)) % 17.22/17.44 (define @t167 () (= @t81 @t166)) % 17.22/17.44 (define @t168 () (= @t83 @t167)) % 17.22/17.44 (define @t169 () (@list true false)) % 17.22/17.44 (define @t170 () (tptp.addition @t81 @t79)) % 17.22/17.44 (define @t171 () (= @t79 @t170)) % 17.22/17.44 (define @t172 () (= @t82 @t171)) % 17.22/17.44 (define @t173 () (not @t171)) % 17.22/17.44 (define @t174 () (tptp.addition @t60 tptp.one)) % 17.22/17.44 (define @t175 () (= @t166 @t170)) % 17.22/17.44 (define @t176 () (not @t175)) % 17.22/17.44 (define @t177 () (tptp.addition @t63 @t174)) % 17.22/17.44 (define @t178 () (tptp.multiplication @t61 @t177)) % 17.22/17.44 (define @t179 () (= @t178 (tptp.addition @t110 (tptp.multiplication @t61 @t174)))) % 17.22/17.44 (define @t180 () (not @t179)) % 17.22/17.44 (define @t181 () (tptp.multiplication tptp.one @t61)) % 17.22/17.44 (define @t182 () (tptp.multiplication @t174 @t61)) % 17.22/17.44 (define @t183 () (= @t182 (tptp.addition @t111 @t181))) % 17.22/17.44 (define @t184 () (not @t183)) % 17.22/17.44 (define @t185 () (tptp.addition @t63 @t63)) % 17.22/17.44 (define @t186 () (tptp.addition @t185 @t113)) % 17.22/17.44 (define @t187 () (= (tptp.addition @t63 @t119) @t186)) % 17.22/17.44 (define @t188 () (not @t187)) % 17.22/17.44 (define @t189 () (tptp.addition @t124 @t60)) % 17.22/17.44 (define @t190 () (tptp.addition @t60 @t60)) % 17.22/17.44 (define @t191 () (tptp.addition @t124 @t190)) % 17.22/17.44 (define @t192 () (= @t191 (tptp.addition @t189 @t60))) % 17.22/17.44 (define @t193 () (not @t192)) % 17.22/17.44 (define @t194 () (not @t132)) % 17.22/17.44 (define @t195 () (= @t131 @t189)) % 17.22/17.44 (define @t196 () (not @t195)) % 17.22/17.44 (define @t197 () (not @t120)) % 17.22/17.44 (define @t198 () (tptp.addition tptp.one @t60)) % 17.22/17.44 (define @t199 () (= @t198 @t174)) % 17.22/17.44 (define @t200 () (not @t199)) % 17.22/17.44 (define @t201 () (tptp.addition @t79 @t67)) % 17.22/17.44 (define @t202 () (tptp.addition @t201 @t111)) % 17.22/17.44 (define @t203 () (= @t143 @t202)) % 17.22/17.44 (define @t204 () (not @t203)) % 17.22/17.44 (define @t205 () (tptp.addition @t111 @t79)) % 17.22/17.44 (define @t206 () (= @t205 @t146)) % 17.22/17.44 (define @t207 () (not @t206)) % 17.22/17.44 (define @t208 () (= @t141 @t142)) % 17.22/17.44 (define @t209 () (not @t208)) % 17.22/17.44 (define @t210 () (tptp.addition @t79 @t109)) % 17.22/17.44 (define @t211 () (tptp.addition @t210 @t108)) % 17.22/17.44 (define @t212 () (= @t139 @t211)) % 17.22/17.44 (define @t213 () (not @t212)) % 17.22/17.44 (define @t214 () (tptp.addition @t111 @t67)) % 17.22/17.44 (define @t215 () (tptp.addition @t214 @t67)) % 17.22/17.44 (define @t216 () (tptp.addition @t67 @t67)) % 17.22/17.44 (define @t217 () (tptp.addition @t111 @t216)) % 17.22/17.44 (define @t218 () (= @t217 @t215)) % 17.22/17.44 (define @t219 () (not @t218)) % 17.22/17.44 (define @t220 () (tptp.addition @t111 @t61)) % 17.22/17.44 (define @t221 () (tptp.addition @t220 @t67)) % 17.22/17.44 (define @t222 () (= @t205 @t221)) % 17.22/17.44 (define @t223 () (not @t222)) % 17.22/17.44 (define @t224 () (tptp.addition @t106 @t138)) % 17.22/17.44 (define @t225 () (= @t224 @t157)) % 17.22/17.44 (define @t226 () (not @t225)) % 17.22/17.44 (define @t227 () (tptp.addition @t61 @t214)) % 17.22/17.44 (define @t228 () (= @t227 @t155)) % 17.22/17.44 (define @t229 () (not @t228)) % 17.22/17.44 (define @t230 () (= @t109 @t214)) % 17.22/17.44 (define @t231 () (not @t230)) % 17.22/17.44 (define @t232 () (tptp.addition @t61 @t106)) % 17.22/17.44 (define @t233 () (tptp.addition @t232 @t110)) % 17.22/17.44 (define @t234 () (= @t161 @t233)) % 17.22/17.44 (define @t235 () (not @t234)) % 17.22/17.44 (define @t236 () (tptp.addition @t61 @t108)) % 17.22/17.44 (define @t237 () (tptp.addition @t236 @t109)) % 17.22/17.44 (define @t238 () (= @t159 @t237)) % 17.22/17.44 (define @t239 () (not @t238)) % 17.22/17.44 (define @t240 () (tptp.addition @t67 @t79)) % 17.22/17.44 (define @t241 () (= @t240 @t201)) % 17.22/17.44 (define @t242 () (not @t241)) % 17.22/17.44 (define @t243 () (= (tptp.multiplication @t136 @t61) @t151)) % 17.22/17.44 (define @t244 () (not @t243)) % 17.22/17.44 (define @t245 () (= @t147 (tptp.addition @t100 @t106))) % 17.22/17.44 (define @t246 () (not @t245)) % 17.22/17.44 (define @t247 () (tptp.addition @t106 @t107)) % 17.22/17.44 (define @t248 () (tptp.addition @t247 @t106)) % 17.22/17.44 (define @t249 () (tptp.addition @t106 @t148)) % 17.22/17.44 (define @t250 () (= @t249 @t248)) % 17.22/17.44 (define @t251 () (not @t250)) % 17.22/17.44 (define @t252 () (tptp.multiplication @t70 @t61)) % 17.22/17.44 (define @t253 () (= @t252 (tptp.addition @t106 @t100))) % 17.22/17.44 (define @t254 () (not @t253)) % 17.22/17.44 (define @t255 () (not @t99)) % 17.22/17.44 (define @t256 () (not @t101)) % 17.22/17.44 (define @t257 () (tptp.addition @t70 @t61)) % 17.22/17.44 (define @t258 () (= @t164 @t257)) % 17.22/17.44 (define @t259 () (not @t258)) % 17.22/17.44 (define @t260 () (not @t74)) % 17.22/17.44 (define @t261 () (tptp.addition @t61 @t61)) % 17.22/17.44 (define @t262 () (tptp.addition @t69 @t261)) % 17.22/17.44 (define @t263 () (= @t262 @t165)) % 17.22/17.44 (define @t264 () (not @t263)) % 17.22/17.44 (define @t265 () (tptp.addition @t216 @t61)) % 17.22/17.44 (define @t266 () (= @t145 @t265)) % 17.22/17.44 (define @t267 () (not @t266)) % 17.22/17.44 (define @t268 () (tptp.addition tptp.zero @t61)) % 17.22/17.44 (define @t269 () (= (tptp.multiplication @t268 @t61) @t150)) % 17.22/17.44 (define @t270 () (not @t269)) % 17.22/17.44 (define @t271 () (tptp.addition @t61 tptp.one)) % 17.22/17.44 (define @t272 () (tptp.multiplication @t61 @t271)) % 17.22/17.44 (define @t273 () (= @t272 @t163)) % 17.22/17.44 (define @t274 () (not @t273)) % 17.22/17.44 (define @t275 () (tptp.addition @t61 tptp.zero)) % 17.22/17.44 (define @t276 () (= @t275 @t268)) % 17.22/17.44 (define @t277 () (not @t276)) % 17.22/17.44 (define @t278 () (tptp.addition @t110 @t106)) % 17.22/17.44 (define @t279 () (= (tptp.multiplication @t61 @t140) @t278)) % 17.22/17.44 (define @t280 () (not @t279)) % 17.22/17.44 (define @t281 () (= @t108 @t160)) % 17.22/17.44 (define @t282 () (not @t281)) % 17.22/17.44 (define @t283 () (= @t79 @t144)) % 17.22/17.44 (define @t284 () (not @t283)) % 17.22/17.44 (define @t285 () (= @t67 @t216)) % 17.22/17.44 (define @t286 () (not @t285)) % 17.22/17.44 (define @t287 () (= @t152 (tptp.addition @t106 @t111))) % 17.22/17.44 (define @t288 () (not @t287)) % 17.22/17.44 (define @t289 () (= @t60 @t190)) % 17.22/17.44 (define @t290 () (not @t289)) % 17.22/17.44 (define @t291 () (= @t65 @t140)) % 17.22/17.44 (define @t292 () (not @t291)) % 17.22/17.44 (define @t293 () (= @t81 @t158)) % 17.22/17.44 (define @t294 () (not @t293)) % 17.22/17.44 (define @t295 () (= @t137 @t138)) % 17.22/17.44 (define @t296 () (not @t295)) % 17.22/17.44 (define @t297 () (= @t63 @t185)) % 17.22/17.44 (define @t298 () (not @t297)) % 17.22/17.44 (define @t299 () (= tptp.zero @t149)) % 17.22/17.44 (define @t300 () (not @t299)) % 17.22/17.44 (define @t301 () (= tptp.zero @t107)) % 17.22/17.44 (define @t302 () (not @t301)) % 17.22/17.44 (define @t303 () (tptp.multiplication @t61 @t261)) % 17.22/17.44 (define @t304 () (= @t303 (tptp.addition @t106 @t106))) % 17.22/17.44 (define @t305 () (not @t304)) % 17.22/17.44 (define @t306 () (= @t61 @t181)) % 17.22/17.44 (define @t307 () (not @t306)) % 17.22/17.44 (define @t308 () (= @t61 @t162)) % 17.22/17.44 (define @t309 () (not @t308)) % 17.22/17.44 (define @t310 () (= @t61 @t261)) % 17.22/17.44 (define @t311 () (not @t310)) % 17.22/17.44 (define @t312 () (= @t61 @t275)) % 17.22/17.44 (define @t313 () (not @t312)) % 17.22/17.44 (define @t314 () (= @t80 @t136)) % 17.22/17.44 (define @t315 () (not @t314)) % 17.22/17.44 (define @t316 () (tptp.addition @t106 tptp.zero)) % 17.22/17.44 (define @t317 () (and @t314 @t312 @t310 @t308 @t306 @t304 @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t276 @t273 @t269 @t266 @t263 @t74 @t258 @t101 @t99 @t253 @t250 @t245 @t243 @t241 @t238 @t234 @t230 @t228 @t225 @t222 @t218 @t212 @t208 @t206 @t203 @t199 @t120 @t195 @t132 @t192 @t187 @t183 @t173 @t179)) % 17.22/17.44 (assume @p1 @t5) % 17.22/17.44 (assume @p2 (forall (@list @t6 @t2 @t1) (= (tptp.addition @t1 @t7) (tptp.addition @t3 @t6)))) % 17.22/17.44 (assume @p3 @t10) % 17.22/17.44 (assume @p4 @t12) % 17.22/17.44 (assume @p5 (forall @t15 (= (tptp.multiplication @t1 @t14) (tptp.multiplication @t13 @t6)))) % 17.22/17.44 (assume @p6 @t17) % 17.22/17.44 (assume @p7 @t19) % 17.22/17.44 (assume @p8 (forall @t15 (= (tptp.multiplication @t1 @t7) (tptp.addition @t13 @t20)))) % 17.22/17.44 (assume @p9 (forall @t15 (= (tptp.multiplication @t3 @t6) (tptp.addition @t20 @t14)))) % 17.22/17.44 (assume @p10 @t22) % 17.22/17.44 (assume @p11 @t24) % 17.22/17.44 (assume @p12 @t27) % 17.22/17.44 (assume @p13 @t36) % 17.22/17.44 (assume @p14 @t43) % 17.22/17.44 (assume @p15 (forall @t42 (=> @t33 (= (= @t44 @t29) (tptp.complement @t28 @t29))))) % 17.22/17.44 (assume @p16 (forall @t35 (=> @t45 (= @t44 tptp.zero)))) % 17.22/17.44 (assume @p17 @t55) % 17.22/17.44 (assume @p18 true) % 17.22/17.44 (step @p19 :rule instantiate :premises (@p1) :args ((@list @t61 @t60))) % 17.22/17.44 (step @p20 :rule eq-symm :args (@t8 @t1)) % 17.22/17.44 (step @p21 :rule cong :premises (@p20) :args (@t10)) % 17.22/17.44 (step @p22 :rule eq_resolve :premises (@p3 @p21)) % 17.22/17.44 (step @p23 :rule instantiate :premises (@p22) :args (@t62)) % 17.22/17.44 (step @p24 :rule eq-symm :args (@t11 @t1)) % 17.22/17.44 (step @p25 :rule cong :premises (@p24) :args (@t12)) % 17.22/17.44 (step @p26 :rule eq_resolve :premises (@p4 @p25)) % 17.22/17.44 (step @p27 :rule instantiate :premises (@p26) :args (@t62)) % 17.22/17.44 (step @p28 :rule eq-symm :args (@t16 @t1)) % 17.22/17.44 (step @p29 :rule cong :premises (@p28) :args (@t17)) % 17.22/17.44 (step @p30 :rule eq_resolve :premises (@p6 @p29)) % 17.22/17.44 (step @p31 :rule instantiate :premises (@p30) :args (@t62)) % 17.22/17.44 (step @p32 :rule eq-symm :args (@t18 @t1)) % 17.22/17.44 (step @p33 :rule cong :premises (@p32) :args (@t19)) % 17.22/17.44 (step @p34 :rule eq_resolve :premises (@p7 @p33)) % 17.22/17.44 (step @p35 :rule instantiate :premises (@p34) :args (@t62)) % 17.22/17.44 (step @p36 :rule instantiate :premises (@p8) :args ((@list @t61 @t61 @t61))) % 17.22/17.44 (step @p37 :rule eq-symm :args (@t21 tptp.zero)) % 17.22/17.44 (step @p38 :rule cong :premises (@p37) :args (@t22)) % 17.22/17.44 (step @p39 :rule eq_resolve :premises (@p10 @p38)) % 17.22/17.44 (step @p40 :rule instantiate :premises (@p39) :args (@t62)) % 17.22/17.44 (step @p41 :rule eq-symm :args (@t23 tptp.zero)) % 17.22/17.44 (step @p42 :rule cong :premises (@p41) :args (@t24)) % 17.22/17.44 (step @p43 :rule eq_resolve :premises (@p11 @p42)) % 17.22/17.44 (step @p44 :rule instantiate :premises (@p43) :args (@t62)) % 17.22/17.44 (step @p45 :rule instantiate :premises (@p26) :args (@t64)) % 17.22/17.44 (step @p46 :rule instantiate :premises (@p9) :args ((@list @t60 @t61 @t65))) % 17.22/17.44 (step @p47 :rule instantiate :premises (@p9) :args ((@list @t61 @t60 @t65))) % 17.22/17.44 (step @p48 :rule instantiate :premises (@p1) :args ((@list @t61 @t63))) % 17.22/17.44 (step @p49 :rule instantiate :premises (@p26) :args (@t66)) % 17.22/17.44 (step @p50 :rule instantiate :premises (@p9) :args ((@list @t61 @t60 @t61))) % 17.22/17.44 (step @p51 :rule instantiate :premises (@p26) :args ((@list @t67))) % 17.22/17.44 (step @p52 :rule instantiate :premises (@p1) :args ((@list @t61 @t67))) % 17.22/17.44 (step @p53 :rule instantiate :premises (@p8) :args ((@list @t61 @t61 @t63))) % 17.22/17.44 (step @p54 :rule instantiate :premises (@p8) :args ((@list @t61 @t63 @t61))) % 17.22/17.44 (step @p55 :rule instantiate :premises (@p1) :args ((@list @t61 tptp.zero))) % 17.22/17.44 (step @p56 :rule instantiate :premises (@p8) :args ((@list @t61 @t61 tptp.one))) % 17.22/17.44 (step @p57 :rule instantiate :premises (@p9) :args ((@list tptp.zero @t61 @t61))) % 17.22/17.44 (step @p58 :rule instantiate :premises (@p2) :args ((@list @t61 @t61 @t69))) % 17.22/17.44 (step @p59 :rule eq-symm :args (@t70 @t71)) % 17.22/17.44 (step @p60 :rule refl :args (@t5)) % 17.22/17.44 (step @p61 :rule cong :premises (@p60 @p59) :args ((=> @t5 @t72))) % 17.22/17.44 (assume-push @p603 @t5) % 17.22/17.44 (step @p63 :rule instantiate :premises (@p1) :args (@t73)) % 17.22/17.44 (step-pop @p604 :rule scope :premises (@p63)) % 17.22/17.44 (step @p64 :rule process_scope :premises (@p604) :args (@t72)) % 17.22/17.44 (step @p66 :rule eq_resolve :premises (@p64 @p61)) % 17.22/17.44 (step @p67 :rule implies_elim :premises (@p66)) % 17.22/17.44 (step @p68 :rule chain_m_resolution :premises (@p67 @p1) :args (@t74 @t75 (@list @t5))) % 17.22/17.44 (step @p69 :rule instantiate :premises (@p2) :args (@t76)) % 17.22/17.44 (step @p70 :rule eq-symm :args (@t37 tptp.one)) % 17.22/17.44 (step @p71 :rule eq-symm :args (@t38 tptp.zero)) % 17.22/17.44 (step @p72 :rule eq-symm :args (@t39 tptp.zero)) % 17.22/17.44 (step @p73 :rule nary_cong :premises (@p72 @p71 @p70) :args (@t40)) % 17.22/17.44 (step @p74 :rule refl :args (@t30)) % 17.22/17.44 (step @p75 :rule cong :premises (@p74 @p73) :args (@t41)) % 17.22/17.44 (step @p76 :rule cong :premises (@p75) :args (@t43)) % 17.22/17.44 (step @p77 :rule eq_resolve :premises (@p14 @p76)) % 17.22/17.44 (step @p78 :rule instantiate :premises (@p77) :args (@t73)) % 17.22/17.44 (step @p79 :rule exists-elim :args ((= @t32 (not (forall @t31 (not @t30)))))) % 17.22/17.44 (step @p80 :rule refl :args (@t33)) % 17.22/17.44 (step @p81 :rule cong :premises (@p80 @p79) :args (@t34)) % 17.22/17.44 (step @p82 :rule cong :premises (@p81) :args (@t36)) % 17.22/17.44 (step @p83 :rule eq_resolve :premises (@p13 @p82)) % 17.22/17.44 (step @p84 :rule instantiate :premises (@p83) :args (@t62)) % 17.22/17.44 (step @p85 :rule aci_norm :args ((= (or @t77 @t49) @t58))) % 17.22/17.44 (step @p86 :rule refl :args (@t49)) % 17.22/17.44 (step @p87 :rule aci_norm :args ((= (or @t45 (or @t57 @t56)) @t77))) % 17.22/17.44 (step @p88 :rule bool-and-de-morgan :args (@t51 @t50 true)) % 17.22/17.44 (step @p89 :rule refl :args (@t45)) % 17.22/17.44 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or @t45 (not (and @t51 @t50))))) % 17.22/17.44 (step @p91 :rule bool-and-de-morgan :args (@t33 @t51 (and @t50))) % 17.22/17.44 (step @p92 :rule trans :premises (@p91 @p90)) % 17.22/17.44 (step @p93 :rule trans :premises (@p92 @p87)) % 17.22/17.44 (step @p94 :rule nary_cong :premises (@p93 @p86) :args ((or (not @t52) @t49))) % 17.22/17.44 (step @p95 :rule trans :premises (@p94 @p85)) % 17.22/17.44 (step @p96 :rule bool-impl-elim :args (@t52 @t49)) % 17.22/17.44 (step @p97 :rule trans :premises (@p96 @p95)) % 17.22/17.44 (step @p98 :rule cong :premises (@p97) :args (@t54)) % 17.22/17.44 (step @p99 :rule cong :premises (@p98) :args (@t55)) % 17.22/17.44 (step @p100 :rule eq_resolve :premises (@p17 @p99)) % 17.22/17.44 (step @p101 :rule skolemize :premises (@p100)) % 17.22/17.44 (step @p102 :rule bool-double-not-elim :args (@t78)) % 17.22/17.44 (step @p103 :rule refl :args (@t90)) % 17.22/17.44 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or @t90 (not @t89)))) % 17.22/17.44 (step @p105 :rule cnf_or_neg :args (@t90 0)) % 17.22/17.44 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 17.22/17.44 (step @p107 :rule reordering :premises (@p106) :args ((or @t78 @t90))) % 17.22/17.44 (step @p108 :rule chain_m_resolution :premises (@p107 @p101) :args (@t78 @t91 @t92)) % 17.22/17.44 (step @p109 :rule cnf_equiv_pos1 :args (@t94)) % 17.22/17.44 (step @p110 :rule reordering :premises (@p109) :args ((or @t89 @t93 (not @t94)))) % 17.22/17.44 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p84) :args (@t93 @t95 (@list @t78 @t94))) % 17.22/17.44 (step @p112 :rule refl :args (@t96)) % 17.22/17.44 (step @p113 :rule bool-double-not-elim :args (@t68)) % 17.22/17.44 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or (not @t93) @t96))) % 17.22/17.44 (step @p115 :rule bool-double-not-elim :args (@t96)) % 17.22/17.44 (step @p116 :rule refl :args (@t93)) % 17.22/17.44 (step @p117 :rule cong :premises (@p116 @p115) :args ((=> @t93 @t98))) % 17.22/17.44 (assume-push @p605 @t93) % 17.22/17.44 (step @p119 :rule skolemize :premises (@p111)) % 17.22/17.44 (step-pop @p606 :rule scope :premises (@p119)) % 17.22/17.44 (step @p120 :rule process_scope :premises (@p606) :args (@t98)) % 17.22/17.44 (step @p122 :rule eq_resolve :premises (@p120 @p117)) % 17.22/17.44 (step @p123 :rule implies_elim :premises (@p122)) % 17.22/17.44 (step @p124 :rule eq_resolve :premises (@p123 @p114)) % 17.22/17.44 (step @p125 :rule chain_m_resolution :premises (@p124 @p111) :args (@t96 @t91 (@list @t68))) % 17.22/17.44 (step @p126 :rule cnf_equiv_pos1 :args (@t103)) % 17.22/17.44 (step @p127 :rule reordering :premises (@p126) :args ((or @t97 @t102 (not @t103)))) % 17.22/17.44 (step @p128 :rule chain_m_resolution :premises (@p127 @p125 @p78) :args (@t102 @t95 (@list @t96 @t103))) % 17.22/17.44 (step @p129 :rule cnf_and_pos :args (@t102 1)) % 17.22/17.44 (step @p130 :rule reordering :premises (@p129) :args ((or @t101 @t104))) % 17.22/17.44 (step @p131 :rule chain_m_resolution :premises (@p130 @p128) :args (@t101 @t75 @t105)) % 17.22/17.44 (step @p132 :rule cnf_and_pos :args (@t102 2)) % 17.22/17.44 (step @p133 :rule reordering :premises (@p132) :args ((or @t99 @t104))) % 17.22/17.44 (step @p134 :rule chain_m_resolution :premises (@p133 @p128) :args (@t99 @t75 @t105)) % 17.22/17.44 (step @p135 :rule instantiate :premises (@p9) :args (@t76)) % 17.22/17.44 (step @p136 :rule instantiate :premises (@p2) :args ((@list @t106 @t107 @t106))) % 17.22/17.44 (step @p137 :rule instantiate :premises (@p9) :args ((@list @t69 @t61 @t61))) % 17.22/17.44 (step @p138 :rule instantiate :premises (@p9) :args ((@list @t60 @t61 @t61))) % 17.22/17.44 (step @p139 :rule instantiate :premises (@p1) :args ((@list @t67 @t79))) % 17.22/17.44 (step @p140 :rule instantiate :premises (@p2) :args ((@list @t61 @t67 @t67))) % 17.22/17.44 (step @p141 :rule instantiate :premises (@p2) :args ((@list @t109 @t108 @t61))) % 17.22/17.44 (step @p142 :rule instantiate :premises (@p2) :args ((@list @t110 @t106 @t61))) % 17.22/17.44 (step @p143 :rule instantiate :premises (@p8) :args ((@list @t60 @t61 @t63))) % 17.22/17.44 (step @p144 :rule instantiate :premises (@p2) :args ((@list @t67 @t111 @t61))) % 17.22/17.44 (step @p145 :rule instantiate :premises (@p2) :args ((@list @t108 @t109 @t106))) % 17.22/17.44 (step @p146 :rule instantiate :premises (@p2) :args ((@list @t67 @t61 @t111))) % 17.22/17.44 (step @p147 :rule instantiate :premises (@p2) :args ((@list @t67 @t67 @t111))) % 17.22/17.44 (step @p148 :rule instantiate :premises (@p2) :args ((@list @t108 @t109 @t79))) % 17.22/17.44 (step @p149 :rule instantiate :premises (@p8) :args ((@list @t60 @t63 @t61))) % 17.22/17.44 (step @p150 :rule instantiate :premises (@p1) :args ((@list @t111 @t79))) % 17.22/17.44 (step @p151 :rule instantiate :premises (@p2) :args ((@list @t111 @t67 @t79))) % 17.22/17.44 (step @p152 :rule instantiate :premises (@p1) :args ((@list tptp.one @t60))) % 17.22/17.44 (step @p153 :rule instantiate :premises (@p77) :args ((@list @t63 @t113))) % 17.22/17.44 (step @p154 :rule instantiate :premises (@p83) :args (@t64)) % 17.22/17.44 (step @p155 :rule bool-double-not-elim :args (@t85)) % 17.22/17.44 (step @p156 :rule nary_cong :premises (@p103 @p155) :args ((or @t90 (not @t86)))) % 17.22/17.44 (step @p157 :rule cnf_or_neg :args (@t90 2)) % 17.22/17.44 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 17.22/17.44 (step @p159 :rule reordering :premises (@p158) :args ((or @t85 @t90))) % 17.22/17.44 (step @p160 :rule chain_m_resolution :premises (@p159 @p101) :args (@t85 @t91 @t92)) % 17.22/17.44 (step @p161 :rule cnf_equiv_pos1 :args (@t115)) % 17.22/17.44 (step @p162 :rule reordering :premises (@p161) :args ((or @t86 @t114 (not @t115)))) % 17.22/17.44 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p154) :args (@t114 @t95 (@list @t85 @t115))) % 17.22/17.44 (step @p164 :rule refl :args (@t116)) % 17.22/17.44 (step @p165 :rule bool-double-not-elim :args (@t112)) % 17.22/17.44 (step @p166 :rule nary_cong :premises (@p165 @p164) :args ((or (not @t114) @t116))) % 17.22/17.44 (step @p167 :rule bool-double-not-elim :args (@t116)) % 17.22/17.44 (step @p168 :rule refl :args (@t114)) % 17.22/17.44 (step @p169 :rule cong :premises (@p168 @p167) :args ((=> @t114 @t118))) % 17.22/17.44 (assume-push @p607 @t114) % 17.22/17.44 (step @p171 :rule skolemize :premises (@p163)) % 17.22/17.44 (step-pop @p608 :rule scope :premises (@p171)) % 17.22/17.44 (step @p172 :rule process_scope :premises (@p608) :args (@t118)) % 17.22/17.44 (step @p174 :rule eq_resolve :premises (@p172 @p169)) % 17.22/17.44 (step @p175 :rule implies_elim :premises (@p174)) % 17.22/17.44 (step @p176 :rule eq_resolve :premises (@p175 @p166)) % 17.22/17.44 (step @p177 :rule chain_m_resolution :premises (@p176 @p163) :args (@t116 @t91 (@list @t112))) % 17.22/17.44 (step @p178 :rule cnf_equiv_pos1 :args (@t122)) % 17.22/17.44 (step @p179 :rule reordering :premises (@p178) :args ((or @t117 @t121 (not @t122)))) % 17.22/17.44 (step @p180 :rule chain_m_resolution :premises (@p179 @p177 @p153) :args (@t121 @t95 (@list @t116 @t122))) % 17.22/17.44 (step @p181 :rule cnf_and_pos :args (@t121 2)) % 17.22/17.44 (step @p182 :rule reordering :premises (@p181) :args ((or @t120 (not @t121)))) % 17.22/17.44 (step @p183 :rule chain_m_resolution :premises (@p182 @p180) :args (@t120 @t75 (@list @t121))) % 17.22/17.44 (step @p184 :rule instantiate :premises (@p1) :args (@t125)) % 17.22/17.44 (step @p185 :rule instantiate :premises (@p77) :args (@t125)) % 17.22/17.44 (step @p186 :rule instantiate :premises (@p83) :args (@t66)) % 17.22/17.44 (step @p187 :rule bool-double-not-elim :args (@t87)) % 17.22/17.44 (step @p188 :rule nary_cong :premises (@p103 @p187) :args ((or @t90 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@p260 :rule cong :premises (@p259 @p257) :args (@t148)) % 17.22/17.44 (step @p261 :rule symm :premises (@p44)) % 17.22/17.44 (step @p262 :rule trans :premises (@p261 @p40)) % 17.22/17.44 (step @p263 :rule cong :premises (@p262 @p257) :args (@t150)) % 17.22/17.44 (step @p264 :rule trans :premises (@p23 @p55)) % 17.22/17.44 (step @p265 :rule cong :premises (@p264 @p247) :args (@t106)) % 17.22/17.44 (step @p266 :rule trans :premises (@p265 @p57 @p263 @p260 @p256 @p255 @p252)) % 17.22/17.44 (step @p267 :rule cong :premises (@p242 @p266) :args (@t151)) % 17.22/17.44 (step @p268 :rule cong :premises (@p19 @p247) :args (@t152)) % 17.22/17.44 (step @p269 :rule trans :premises (@p268 @p138 @p267)) % 17.22/17.44 (step @p270 :rule cong :premises (@p269 @p244) :args (@t153)) % 17.22/17.44 (step @p271 :rule trans :premises (@p270 @p251 @p150 @p250 @p241 @p240)) % 17.22/17.44 (step @p272 :rule symm :premises (@p50)) % 17.22/17.44 (step @p273 :rule symm :premises (@p266)) % 17.22/17.44 (step @p274 :rule cong :premises (@p273 @p242) :args (@t154)) % 17.22/17.44 (step @p275 :rule trans :premises (@p274 @p272)) % 17.22/17.44 (step @p276 :rule cong :premises (@p275 @p244) :args (@t155)) % 17.22/17.44 (step @p277 :rule cong :premises (@p266 @p143) :args (@t156)) % 17.22/17.44 (step @p278 :rule trans :premises (@p277 @p144 @p276)) % 17.22/17.44 (step @p279 :rule trans :premises (@p278 @p271)) % 17.22/17.44 (step @p280 :rule cong :premises (@p279 @p234) :args (@t157)) % 17.22/17.44 (step @p281 :rule symm :premises (@p228)) % 17.22/17.44 (step @p282 :rule symm :premises (@p47)) % 17.22/17.44 (step @p283 :rule trans :premises (@p282 @p281 @p46)) % 17.22/17.44 (step @p284 :rule cong :premises (@p273 @p283) :args (@t159)) % 17.22/17.44 (step @p285 :rule symm :premises (@p141)) % 17.22/17.44 (step @p286 :rule refl :args (@t109)) % 17.22/17.44 (step @p287 :rule symm :premises (@p53)) % 17.22/17.44 (step @p288 :rule cong :premises (@p247 @p287) :args (@t161)) % 17.22/17.44 (step @p289 :rule 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17.22/17.44 (step @p304 :rule trans :premises (@p134 @p63 @p303 @p58 @p301 @p300 @p299)) % 17.22/17.44 (step @p305 :rule cong :premises (@p247 @p304) :args (@t162)) % 17.22/17.44 (step @p306 :rule trans :premises (@p31 @p305 @p56 @p298)) % 17.22/17.44 (step @p307 :rule trans :premises (@p266 @p306)) % 17.22/17.44 (step @p308 :rule cong :premises (@p307 @p290) :args (@t160)) % 17.22/17.44 (step @p309 :rule trans :premises (@p53 @p308 @p289 @p288)) % 17.22/17.44 (step @p310 :rule cong :premises (@p309 @p286) :args (@t158)) % 17.22/17.44 (step @p311 :rule trans :premises (@p47 @p310 @p285 @p284 @p145 @p280 @p233 @p232)) % 17.22/17.44 (step @p312 :rule cnf_equiv_pos2 :args (@t168)) % 17.22/17.44 (step @p313 :rule reordering :premises (@p312) :args ((or @t83 (not @t167) (not @t168)))) % 17.22/17.44 (step @p314 :rule chain_m_resolution :premises (@p313 @p311 @p225) :args (@t83 @t95 (@list @t167 @t168))) % 17.22/17.44 (step @p315 :rule cnf_or_neg :args (@t90 3)) % 17.22/17.44 (step @p316 :rule chain_m_resolution :premises (@p315 @p101) :args ((not @t84) @t91 @t92)) % 17.22/17.44 (step @p317 :rule cnf_and_neg :args (@t84)) % 17.22/17.44 (step @p318 :rule chain_m_resolution :premises (@p317 @p316 @p314) :args ((not @t82) @t169 (@list @t84 @t83))) % 17.22/17.44 (step @p319 :rule cnf_equiv_pos2 :args (@t172)) % 17.22/17.44 (step @p320 :rule reordering :premises (@p319) :args ((or @t82 @t173 (not @t172)))) % 17.22/17.44 (step @p321 :rule chain_m_resolution :premises (@p320 @p318 @p224) :args (@t173 @t169 (@list @t82 @t172))) % 17.22/17.44 (step @p322 :rule instantiate :premises (@p8) :args ((@list @t61 @t63 @t174))) % 17.22/17.44 (step @p323 :rule instantiate :premises (@p1) :args (@t135)) % 17.22/17.44 (step @p324 :rule refl :args (@t176)) % 17.22/17.44 (step @p325 :rule refl :args (@t180)) % 17.22/17.44 (step @p326 :rule bool-double-not-elim :args (@t171)) % 17.22/17.44 (step @p327 :rule refl :args (@t184)) % 17.22/17.44 (step @p328 :rule refl :args (@t188)) % 17.22/17.44 (step @p329 :rule refl :args (@t193)) % 17.22/17.44 (step @p330 :rule refl :args (@t194)) % 17.22/17.44 (step @p331 :rule refl :args (@t196)) % 17.22/17.44 (step @p332 :rule refl :args (@t197)) % 17.22/17.44 (step @p333 :rule refl :args (@t200)) % 17.22/17.44 (step @p334 :rule refl :args (@t204)) % 17.22/17.44 (step @p335 :rule refl :args (@t207)) % 17.22/17.44 (step @p336 :rule refl :args (@t209)) % 17.22/17.44 (step @p337 :rule refl :args (@t213)) % 17.22/17.44 (step @p338 :rule refl :args (@t219)) % 17.22/17.44 (step @p339 :rule refl :args (@t223)) % 17.22/17.44 (step @p340 :rule refl :args (@t226)) % 17.22/17.44 (step @p341 :rule refl :args (@t229)) % 17.22/17.44 (step @p342 :rule refl :args (@t231)) % 17.22/17.44 (step @p343 :rule refl :args (@t235)) % 17.22/17.44 (step @p344 :rule refl :args (@t239)) % 17.22/17.44 (step @p345 :rule refl :args (@t242)) % 17.22/17.44 (step @p346 :rule refl :args (@t244)) % 17.22/17.44 (step @p347 :rule refl :args (@t246)) % 17.22/17.44 (step @p348 :rule refl :args (@t251)) % 17.22/17.44 (step @p349 :rule refl :args (@t254)) % 17.22/17.44 (step @p350 :rule refl :args (@t255)) % 17.22/17.44 (step @p351 :rule refl :args (@t256)) % 17.22/17.44 (step @p352 :rule refl :args (@t259)) % 17.22/17.44 (step @p353 :rule refl :args (@t260)) % 17.22/17.44 (step @p354 :rule refl :args (@t264)) % 17.22/17.44 (step @p355 :rule refl :args (@t267)) % 17.22/17.44 (step @p356 :rule refl :args (@t270)) % 17.22/17.44 (step @p357 :rule refl :args (@t274)) % 17.22/17.44 (step @p358 :rule refl :args (@t277)) % 17.22/17.44 (step @p359 :rule refl :args (@t280)) % 17.22/17.44 (step @p360 :rule refl :args (@t282)) % 17.22/17.44 (step @p361 :rule refl :args (@t284)) % 17.22/17.44 (step @p362 :rule refl :args (@t286)) % 17.22/17.44 (step @p363 :rule refl :args (@t288)) % 17.22/17.44 (step @p364 :rule refl :args (@t290)) % 17.22/17.44 (step @p365 :rule refl :args (@t292)) % 17.22/17.44 (step @p366 :rule refl :args (@t294)) % 17.22/17.44 (step @p367 :rule refl :args (@t296)) % 17.22/17.44 (step @p368 :rule refl :args (@t298)) % 17.22/17.44 (step @p369 :rule refl :args (@t300)) % 17.22/17.44 (step @p370 :rule refl :args (@t302)) % 17.22/17.44 (step @p371 :rule refl :args (@t305)) % 17.22/17.44 (step @p372 :rule refl :args (@t307)) % 17.22/17.44 (step @p373 :rule refl :args (@t309)) % 17.22/17.44 (step @p374 :rule refl :args (@t311)) % 17.22/17.44 (step @p375 :rule refl :args (@t313)) % 17.22/17.44 (step @p376 :rule refl :args (@t315)) % 17.22/17.44 (step @p377 :rule nary_cong :premises (@p376 @p375 @p374 @p373 @p372 @p371 @p370 @p369 @p368 @p367 @p366 @p365 @p364 @p363 @p362 @p361 @p360 @p359 @p358 @p357 @p356 @p355 @p354 @p353 @p352 @p351 @p350 @p349 @p348 @p347 @p346 @p345 @p344 @p343 @p342 @p341 @p340 @p339 @p338 @p337 @p336 @p335 @p334 @p333 @p332 @p331 @p330 @p329 @p328 @p327 @p326 @p325 @p324) :args ((or @t315 @t313 @t311 @t309 @t307 @t305 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t277 @t274 @t270 @t267 @t264 @t260 @t259 @t256 @t255 @t254 @t251 @t246 @t244 @t242 @t239 @t235 @t231 @t229 @t226 @t223 @t219 @t213 @t209 @t207 @t204 @t200 @t197 @t196 @t194 @t193 @t188 @t184 (not @t173) @t180 @t176))) % 17.22/17.44 (assume-push @p611 @t314) % 17.22/17.44 (assume-push @p612 @t312) % 17.22/17.44 (assume-push @p613 @t310) % 17.22/17.44 (assume-push @p614 @t308) % 17.22/17.44 (assume-push @p615 @t306) % 17.22/17.44 (assume-push @p616 @t304) % 17.22/17.44 (assume-push @p617 @t301) % 17.22/17.44 (assume-push @p618 @t299) % 17.22/17.44 (assume-push @p619 @t297) % 17.22/17.44 (assume-push @p620 @t295) % 17.22/17.44 (assume-push @p621 @t293) % 17.22/17.44 (assume-push @p622 @t291) % 17.22/17.44 (assume-push @p623 @t289) % 17.22/17.44 (assume-push @p624 @t287) % 17.22/17.44 (assume-push @p625 @t285) % 17.22/17.44 (assume-push @p626 @t283) % 17.22/17.44 (assume-push @p627 @t281) % 17.22/17.44 (assume-push @p628 @t279) % 17.22/17.44 (assume-push @p629 @t276) % 17.22/17.44 (assume-push @p630 @t273) % 17.22/17.44 (assume-push @p631 @t269) % 17.22/17.44 (assume-push @p632 @t266) % 17.22/17.44 (assume-push @p633 @t263) % 17.22/17.44 (assume-push @p634 @t74) % 17.22/17.44 (assume-push @p635 @t258) % 17.22/17.44 (assume-push @p636 @t101) % 17.22/17.44 (assume-push @p637 @t99) % 17.22/17.44 (assume-push @p638 @t253) % 17.22/17.44 (assume-push @p639 @t250) % 17.22/17.44 (assume-push @p640 @t245) % 17.22/17.44 (assume-push @p641 @t243) % 17.22/17.44 (assume-push @p642 @t241) % 17.22/17.44 (assume-push @p643 @t238) % 17.22/17.44 (assume-push @p644 @t234) % 17.22/17.44 (assume-push @p645 @t230) % 17.22/17.44 (assume-push @p646 @t228) % 17.22/17.44 (assume-push @p647 @t225) % 17.22/17.44 (assume-push @p648 @t222) % 17.22/17.44 (assume-push @p649 @t218) % 17.22/17.44 (assume-push @p650 @t212) % 17.22/17.44 (assume-push @p651 @t208) % 17.22/17.44 (assume-push @p652 @t206) % 17.22/17.44 (assume-push @p653 @t203) % 17.22/17.44 (assume-push @p654 @t199) % 17.22/17.44 (assume-push @p655 @t120) % 17.22/17.44 (assume-push @p656 @t195) % 17.22/17.44 (assume-push @p657 @t132) % 17.22/17.44 (assume-push @p658 @t192) % 17.22/17.44 (assume-push @p659 @t187) % 17.22/17.44 (assume-push @p660 @t183) % 17.22/17.44 (assume-push @p661 @t173) % 17.22/17.44 (assume-push @p662 @t179) % 17.22/17.44 (step @p430 :rule false_intro :premises (@p321)) % 17.22/17.44 (step @p431 :rule refl :args (@t170)) % 17.22/17.44 (step @p432 :rule cong :premises (@p253 @p247) :args (@t252)) % 17.22/17.44 (step @p433 :rule symm :premises (@p135)) % 17.22/17.44 (step @p434 :rule cong :premises (@p257 @p131) :args (@t316)) % 17.22/17.44 (step @p435 :rule trans :premises (@p434 @p433 @p432 @p252)) % 17.22/17.44 (step @p436 :rule cong :premises (@p435 @p244) :args ((tptp.addition @t316 @t67))) % 17.22/17.44 (step @p437 :rule symm :premises (@p435)) % 17.22/17.44 (step @p438 :rule trans :premises (@p266 @p437)) % 17.22/17.44 (step @p439 :rule cong :premises (@p438 @p244) :args ((tptp.addition @t106 @t67))) % 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(step-pop @p706 :rule scope :premises (@p705)) % 17.22/17.44 (step-pop @p707 :rule scope :premises (@p706)) % 17.22/17.44 (step-pop @p708 :rule scope :premises (@p707)) % 17.22/17.44 (step-pop @p709 :rule scope :premises (@p708)) % 17.22/17.44 (step-pop @p710 :rule scope :premises (@p709)) % 17.22/17.44 (step-pop @p711 :rule scope :premises (@p710)) % 17.22/17.44 (step-pop @p712 :rule scope :premises (@p711)) % 17.22/17.44 (step-pop @p713 :rule scope :premises (@p712)) % 17.22/17.44 (step-pop @p714 :rule scope :premises (@p713)) % 17.22/17.44 (step @p544 :rule process_scope :premises (@p714) :args (@t176)) % 17.22/17.44 (step @p597 :rule implies_elim :premises (@p544)) % 17.22/17.44 (step @p598 :rule cnf_and_neg :args (@t317)) % 17.22/17.44 (step @p599 :rule resolution :premises (@p598 @p597) :args (true @t317)) % 17.22/17.44 (step @p600 :rule eq_resolve :premises (@p599 @p377)) % 17.22/17.44 (step @p601 :rule reordering :premises (@p600) :args ((or @t315 @t313 @t311 @t309 @t307 @t305 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t277 @t274 @t270 @t264 @t260 @t259 @t256 @t255 @t254 @t251 @t246 @t244 @t242 @t267 @t239 @t235 @t231 @t229 @t226 @t223 @t219 @t213 @t209 @t207 @t204 @t200 @t197 @t196 @t194 @t193 @t171 @t188 @t184 @t180 @t176))) % 17.22/17.44 (step @p602 false :rule chain_m_resolution :premises (@p601 @p323 @p322 @p321 @p218 @p217 @p216 @p215 @p184 @p183 @p152 @p151 @p150 @p149 @p148 @p147 @p146 @p145 @p144 @p143 @p142 @p141 @p140 @p139 @p138 @p137 @p136 @p135 @p134 @p131 @p69 @p68 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p40 @p36 @p35 @p31 @p27 @p23 @p19) :args (false (@list 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 false false false false false false false false false false false false false false false false false false) (@list @t175 @t179 @t171 @t183 @t187 @t192 @t132 @t195 @t120 @t199 @t203 @t206 @t208 @t212 @t218 @t222 @t225 @t228 @t230 @t234 @t238 @t266 @t241 @t243 @t245 @t250 @t253 @t99 @t101 @t258 @t74 @t263 @t269 @t273 @t276 @t279 @t281 @t283 @t285 @t287 @t289 @t291 @t293 @t295 @t297 @t299 @t301 @t304 @t306 @t308 @t310 @t312 @t314))) % 17.22/17.44 ) % 17.22/17.44 % SZS output end Proof % 17.22/17.44 % cvc5 exiting %------------------------------------------------------------------------------