%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV492+1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:01:40 AM UTC 2026 % Result : Theorem 33.23s 33.51s % Output : Proof 33.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWV492+1 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 15:20:45 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.32 %----Proving TF0_NAR, FOF, or CNF % 33.23/33.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.23/33.51 --- Run --no-e-matching --full-saturate-quant at 6... % 33.23/33.51 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.23/33.51 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.23/33.51 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.23/33.51 % SZS status Theorem % 33.23/33.51 % SZS output start Proof % 33.23/33.51 ( % 33.23/33.51 (declare-sort $$unsorted 0) % 33.23/33.51 (declare-const tptp.n $$unsorted) % 33.23/33.51 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 33.23/33.51 (declare-const tptp.real_one $$unsorted) % 33.23/33.51 (declare-const tptp.qr (-> $$unsorted $$unsorted $$unsorted)) % 33.23/33.51 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 33.23/33.51 (declare-const tptp.real_zero $$unsorted) % 33.23/33.51 (declare-const tptp.int_zero $$unsorted) % 33.23/33.51 (declare-const tptp.int_one $$unsorted) % 33.23/33.51 (declare-const tptp.int_leq (-> $$unsorted $$unsorted Bool)) % 33.23/33.51 (declare-const tptp.int_less (-> $$unsorted $$unsorted Bool)) % 33.23/33.51 (define @t1 () (@var "J" $$unsorted)) % 33.23/33.51 (define @t2 () (@var "I" $$unsorted)) % 33.23/33.51 (define @t3 () (= @t2 @t1)) % 33.23/33.51 (define @t4 () (tptp.int_less @t2 @t1)) % 33.23/33.51 (define @t5 () (@list @t2 @t1)) % 33.23/33.51 (define @t6 () (forall @t5 (= (tptp.int_leq @t2 @t1) (or @t4 @t3)))) % 33.23/33.51 (define @t7 () (@var "K" $$unsorted)) % 33.23/33.51 (define @t8 () (tptp.int_less @t2 @t7)) % 33.23/33.51 (define @t9 () (tptp.int_less @t1 @t7)) % 33.23/33.51 (define @t10 () (and @t4 @t9)) % 33.23/33.51 (define @t11 () (forall (@list @t2 @t1 @t7) (=> @t10 @t8))) % 33.23/33.51 (define @t12 () (not @t3)) % 33.23/33.51 (define @t13 () (tptp.int_less tptp.int_zero tptp.int_one)) % 33.23/33.51 (define @t14 () (tptp.plus @t2 tptp.int_zero)) % 33.23/33.51 (define @t15 () (@list @t2)) % 33.23/33.51 (define @t16 () (forall @t15 (= @t14 @t2))) % 33.23/33.51 (define @t17 () (@var "J2" $$unsorted)) % 33.23/33.51 (define @t18 () (@var "J1" $$unsorted)) % 33.23/33.51 (define @t19 () (@var "I2" $$unsorted)) % 33.23/33.51 (define @t20 () (@var "I1" $$unsorted)) % 33.23/33.51 (define @t21 () (tptp.int_leq (tptp.plus @t20 @t19) (tptp.plus @t18 @t17))) % 33.23/33.51 (define @t22 () (tptp.int_leq @t19 @t17)) % 33.23/33.51 (define @t23 () (tptp.int_less @t20 @t18)) % 33.23/33.51 (define @t24 () (and @t23 @t22)) % 33.23/33.51 (define @t25 () (forall (@list @t20 @t18 @t19 @t17) (=> @t24 @t21))) % 33.23/33.51 (define @t26 () (tptp.int_less tptp.int_zero @t7)) % 33.23/33.51 (define @t27 () (tptp.plus @t2 @t7)) % 33.23/33.51 (define @t28 () (and (= @t27 @t1) @t26)) % 33.23/33.51 (define @t29 () (@list @t7)) % 33.23/33.51 (define @t30 () (exists @t29 @t28)) % 33.23/33.51 (define @t31 () (= @t4 @t30)) % 33.23/33.51 (define @t32 () (forall @t5 @t31)) % 33.23/33.51 (define @t33 () (tptp.int_leq tptp.int_one @t2)) % 33.23/33.51 (define @t34 () (forall @t15 (= (tptp.int_less tptp.int_zero @t2) @t33))) % 33.23/33.51 (define @t35 () (@var "C" $$unsorted)) % 33.23/33.51 (define @t36 () (tptp.plus @t7 @t35)) % 33.23/33.51 (define @t37 () (tptp.a @t7 @t36)) % 33.23/33.51 (define @t38 () (tptp.int_leq @t7 @t2)) % 33.23/33.51 (define @t39 () (tptp.int_leq tptp.int_one @t7)) % 33.23/33.51 (define @t40 () (and @t39 @t38)) % 33.23/33.51 (define @t41 () (=> @t40 (= @t37 tptp.real_zero))) % 33.23/33.51 (define @t42 () (forall @t29 @t41)) % 33.23/33.51 (define @t43 () (= @t1 (tptp.plus @t2 @t35))) % 33.23/33.51 (define @t44 () (tptp.int_less tptp.int_zero @t35)) % 33.23/33.51 (define @t45 () (and @t44 @t43)) % 33.23/33.51 (define @t46 () (=> @t45 @t42)) % 33.23/33.51 (define @t47 () (@list @t35)) % 33.23/33.51 (define @t48 () (forall @t47 @t46)) % 33.23/33.51 (define @t49 () (tptp.a @t7 @t7)) % 33.23/33.51 (define @t50 () (tptp.int_leq @t7 @t1)) % 33.23/33.51 (define @t51 () (and @t39 @t50)) % 33.23/33.51 (define @t52 () (=> @t51 (= @t49 tptp.real_one))) % 33.23/33.51 (define @t53 () (forall @t29 @t52)) % 33.23/33.51 (define @t54 () (= (tptp.a @t36 @t7) (tptp.qr @t36 @t7))) % 33.23/33.51 (define @t55 () (forall @t29 (=> @t51 @t54))) % 33.23/33.51 (define @t56 () (= @t2 (tptp.plus @t1 @t35))) % 33.23/33.51 (define @t57 () (and @t44 @t56)) % 33.23/33.51 (define @t58 () (=> @t57 @t55)) % 33.23/33.51 (define @t59 () (forall @t47 @t58)) % 33.23/33.51 (define @t60 () (and @t59 @t53 @t48)) % 33.23/33.51 (define @t61 () (tptp.int_leq @t1 tptp.n)) % 33.23/33.51 (define @t62 () (tptp.int_leq tptp.int_one @t1)) % 33.23/33.51 (define @t63 () (tptp.int_leq @t2 tptp.n)) % 33.23/33.51 (define @t64 () (and @t33 @t63 @t62 @t61)) % 33.23/33.51 (define @t65 () (=> @t64 @t60)) % 33.23/33.51 (define @t66 () (forall @t5 @t65)) % 33.23/33.51 (define @t67 () (tptp.a @t2 @t1)) % 33.23/33.51 (define @t68 () (= @t67 tptp.real_zero)) % 33.23/33.51 (define @t69 () (not @t68)) % 33.23/33.51 (define @t70 () (and @t33 @t61 @t3)) % 33.23/33.51 (define @t71 () (=> @t70 @t69)) % 33.23/33.51 (define @t72 () (forall @t5 @t71)) % 33.23/33.51 (define @t73 () (and @t33 @t4 @t61)) % 33.23/33.51 (define @t74 () (=> @t73 @t68)) % 33.23/33.51 (define @t75 () (forall @t5 @t74)) % 33.23/33.51 (define @t76 () (and @t75 @t72)) % 33.23/33.51 (define @t77 () (not @t76)) % 33.23/33.51 (define @t78 () (not (= tptp.real_zero (tptp.a @t1 @t1)))) % 33.23/33.51 (define @t79 () (not @t61)) % 33.23/33.51 (define @t80 () (not @t62)) % 33.23/33.51 (define @t81 () (or @t80 @t79 @t78)) % 33.23/33.51 (define @t82 () (@list @t1)) % 33.23/33.51 (define @t83 () (forall @t82 @t81)) % 33.23/33.51 (define @t84 () (@quantifiers_skolemize @t83 0)) % 33.23/33.51 (define @t85 () (tptp.int_less tptp.int_zero @t84)) % 33.23/33.51 (define @t86 () (tptp.int_leq tptp.int_one @t84)) % 33.23/33.51 (define @t87 () (= @t85 @t86)) % 33.23/33.51 (define @t88 () (= @t86 @t85)) % 33.23/33.51 (define @t89 () (@list false)) % 33.23/33.51 (define @t90 () (@list @t34)) % 33.23/33.51 (define @t91 () (= tptp.real_zero @t67)) % 33.23/33.51 (define @t92 () (not @t4)) % 33.23/33.51 (define @t93 () (not @t33)) % 33.23/33.51 (define @t94 () (or @t93 @t92 @t79 @t91)) % 33.23/33.51 (define @t95 () (forall @t5 @t94)) % 33.23/33.51 (define @t96 () (@quantifiers_skolemize @t95 0)) % 33.23/33.51 (define @t97 () (tptp.int_leq tptp.int_one @t96)) % 33.23/33.51 (define @t98 () (@quantifiers_skolemize @t95 1)) % 33.23/33.51 (define @t99 () (= tptp.real_zero (tptp.a @t96 @t98))) % 33.23/33.51 (define @t100 () (tptp.int_leq @t98 tptp.n)) % 33.23/33.51 (define @t101 () (not @t100)) % 33.23/33.51 (define @t102 () (tptp.int_less @t96 @t98)) % 33.23/33.51 (define @t103 () (not @t102)) % 33.23/33.51 (define @t104 () (not @t97)) % 33.23/33.51 (define @t105 () (or @t104 @t103 @t101 @t99)) % 33.23/33.51 (define @t106 () (tptp.int_less tptp.int_zero @t96)) % 33.23/33.51 (define @t107 () (= @t106 @t97)) % 33.23/33.51 (define @t108 () (= @t97 @t106)) % 33.23/33.51 (define @t109 () (= @t1 @t27)) % 33.23/33.51 (define @t110 () (and @t109 @t26)) % 33.23/33.51 (define @t111 () (forall @t29 (not @t110))) % 33.23/33.51 (define @t112 () (not @t111)) % 33.23/33.51 (define @t113 () (not @t26)) % 33.23/33.51 (define @t114 () (forall @t29 (or (not (= @t98 (tptp.plus @t96 @t7))) @t113))) % 33.23/33.51 (define @t115 () (not @t114)) % 33.23/33.51 (define @t116 () (= @t102 @t115)) % 33.23/33.51 (define @t117 () (tptp.int_less @t98 tptp.n)) % 33.23/33.51 (define @t118 () (or @t117 (= @t98 tptp.n))) % 33.23/33.51 (define @t119 () (= @t100 @t118)) % 33.23/33.51 (define @t120 () (= tptp.n @t98)) % 33.23/33.51 (define @t121 () (or @t117 @t120)) % 33.23/33.51 (define @t122 () (= @t100 @t121)) % 33.23/33.51 (define @t123 () (@list @t6)) % 33.23/33.51 (define @t124 () (@quantifiers_skolemize @t114 0)) % 33.23/33.51 (define @t125 () (tptp.int_less tptp.int_zero @t124)) % 33.23/33.51 (define @t126 () (not @t125)) % 33.23/33.51 (define @t127 () (tptp.plus @t96 @t124)) % 33.23/33.51 (define @t128 () (= @t98 @t127)) % 33.23/33.51 (define @t129 () (not @t128)) % 33.23/33.51 (define @t130 () (or @t129 @t126)) % 33.23/33.51 (define @t131 () (not @t130)) % 33.23/33.51 (define @t132 () (tptp.int_leq tptp.int_one @t124)) % 33.23/33.51 (define @t133 () (= @t125 @t132)) % 33.23/33.51 (define @t134 () (tptp.int_leq @t127 tptp.n)) % 33.23/33.51 (define @t135 () (and @t100 @t128)) % 33.23/33.51 (define @t136 () (tptp.a @t96 @t127)) % 33.23/33.51 (define @t137 () (= tptp.real_zero @t136)) % 33.23/33.51 (define @t138 () (not @t137)) % 33.23/33.51 (define @t139 () (not @t99)) % 33.23/33.51 (define @t140 () (and @t139 @t128)) % 33.23/33.51 (define @t141 () (forall @t29 (or (not (= tptp.int_one (tptp.plus tptp.int_zero @t7))) @t113))) % 33.23/33.51 (define @t142 () (not @t141)) % 33.23/33.51 (define @t143 () (= @t13 @t142)) % 33.23/33.51 (define @t144 () (not @t13)) % 33.23/33.51 (define @t145 () (@list false false)) % 33.23/33.51 (define @t146 () (@quantifiers_skolemize @t141 0)) % 33.23/33.51 (define @t147 () (tptp.plus tptp.int_zero @t146)) % 33.23/33.51 (define @t148 () (= tptp.int_one @t147)) % 33.23/33.51 (define @t149 () (not @t148)) % 33.23/33.51 (define @t150 () (or @t149 (not (tptp.int_less tptp.int_zero @t146)))) % 33.23/33.51 (define @t151 () (@list true)) % 33.23/33.51 (define @t152 () (tptp.plus @t146 tptp.int_zero)) % 33.23/33.51 (define @t153 () (= @t147 @t152)) % 33.23/33.51 (define @t154 () (= @t146 @t152)) % 33.23/33.51 (define @t155 () (tptp.int_leq @t146 @t124)) % 33.23/33.51 (define @t156 () (and @t148 @t153 @t132 @t154)) % 33.23/33.51 (define @t157 () (tptp.int_leq @t96 @t96)) % 33.23/33.51 (define @t158 () (tptp.int_less @t96 @t96)) % 33.23/33.51 (define @t159 () (or @t158 (= @t96 @t96))) % 33.23/33.51 (define @t160 () (= @t157 @t159)) % 33.23/33.51 (define @t161 () (not @t157)) % 33.23/33.51 (define @t162 () (or @t126 @t104 @t161 @t137)) % 33.23/33.51 (define @t163 () (not @t22)) % 33.23/33.51 (define @t164 () (not @t23)) % 33.23/33.51 (define @t165 () (tptp.int_leq @t147 @t127)) % 33.23/33.51 (define @t166 () (not @t155)) % 33.23/33.51 (define @t167 () (not @t106)) % 33.23/33.51 (define @t168 () (or @t167 @t166 @t165)) % 33.23/33.51 (define @t169 () (tptp.int_leq tptp.int_one @t127)) % 33.23/33.51 (define @t170 () (not @t169)) % 33.23/33.51 (define @t171 () (tptp.int_leq tptp.int_one tptp.int_one)) % 33.23/33.51 (define @t172 () (not @t171)) % 33.23/33.51 (define @t173 () (or @t172 @t170 (= tptp.real_one (tptp.a tptp.int_one tptp.int_one)))) % 33.23/33.51 (define @t174 () (tptp.plus tptp.int_one tptp.int_one)) % 33.23/33.51 (define @t175 () (= (tptp.a @t174 tptp.int_one) (tptp.qr @t174 tptp.int_one))) % 33.23/33.51 (define @t176 () (or @t144 (not (= @t96 (tptp.plus @t127 tptp.int_one))) @t172 @t170 @t175)) % 33.23/33.51 (define @t177 () (and @t176 @t173 @t162)) % 33.23/33.51 (define @t178 () (and @t148 @t165)) % 33.23/33.51 (define @t179 () (@var "BOUND_VARIABLE_7676" $$unsorted)) % 33.23/33.51 (define @t180 () (@var "BOUND_VARIABLE_7678" $$unsorted)) % 33.23/33.51 (define @t181 () (or (not (tptp.int_less tptp.int_zero @t179)) (not (= @t1 (tptp.plus @t2 @t179))) (not (tptp.int_leq tptp.int_one @t180)) (not (tptp.int_leq @t180 @t2)) (= tptp.real_zero (tptp.a @t180 (tptp.plus @t180 @t179))))) % 33.23/33.51 (define @t182 () (@var "BOUND_VARIABLE_7667" $$unsorted)) % 33.23/33.51 (define @t183 () (or (not (tptp.int_leq tptp.int_one @t182)) (not (tptp.int_leq @t182 @t1)) (= tptp.real_one (tptp.a @t182 @t182)))) % 33.23/33.51 (define @t184 () (@var "BOUND_VARIABLE_7651" $$unsorted)) % 33.23/33.51 (define @t185 () (@var "BOUND_VARIABLE_7649" $$unsorted)) % 33.23/33.51 (define @t186 () (tptp.plus @t184 @t185)) % 33.23/33.51 (define @t187 () (or (not (tptp.int_less tptp.int_zero @t185)) (not (= @t2 (tptp.plus @t1 @t185))) (not (tptp.int_leq tptp.int_one @t184)) (not (tptp.int_leq @t184 @t1)) (= (tptp.a @t186 @t184) (tptp.qr @t186 @t184)))) % 33.23/33.51 (define @t188 () (and @t187 @t183 @t181)) % 33.23/33.51 (define @t189 () (not @t63)) % 33.23/33.51 (define @t190 () (or @t93 @t189 @t80 @t79 @t188)) % 33.23/33.51 (define @t191 () (forall (@list @t2 @t1 @t185 @t184 @t182 @t179 @t180) @t190)) % 33.23/33.51 (define @t192 () (@list @t185 @t184 @t182 @t179 @t180)) % 33.23/33.51 (define @t193 () (forall @t192 @t190)) % 33.23/33.51 (define @t194 () (forall (@list @t179 @t180) @t181)) % 33.23/33.51 (define @t195 () (@var "BOUND_VARIABLE_7623" $$unsorted)) % 33.23/33.51 (define @t196 () (forall @t192 @t181)) % 33.23/33.51 (define @t197 () (forall (@list @t182) @t183)) % 33.23/33.51 (define @t198 () (@list @t7)) % 33.23/33.51 (define @t199 () (forall @t192 @t183)) % 33.23/33.51 (define @t200 () (forall (@list @t185 @t184) @t187)) % 33.23/33.51 (define @t201 () (@var "BOUND_VARIABLE_7587" $$unsorted)) % 33.23/33.51 (define @t202 () (forall @t192 @t187)) % 33.23/33.51 (define @t203 () (and @t202 @t199 @t196)) % 33.23/33.51 (define @t204 () (forall @t192 @t188)) % 33.23/33.51 (define @t205 () (or @t93 @t189 @t80 @t79 @t204)) % 33.23/33.51 (define @t206 () (= tptp.real_zero (tptp.a @t195 (tptp.plus @t195 @t35)))) % 33.23/33.51 (define @t207 () (not (tptp.int_leq @t195 @t2))) % 33.23/33.51 (define @t208 () (not (tptp.int_leq tptp.int_one @t195))) % 33.23/33.51 (define @t209 () (not @t43)) % 33.23/33.51 (define @t210 () (not @t44)) % 33.23/33.51 (define @t211 () (or @t210 @t209 @t208 @t207 @t206)) % 33.23/33.51 (define @t212 () (@list @t35 @t195)) % 33.23/33.51 (define @t213 () (= tptp.real_one @t49)) % 33.23/33.51 (define @t214 () (not @t50)) % 33.23/33.51 (define @t215 () (not @t39)) % 33.23/33.51 (define @t216 () (or @t215 @t214 @t213)) % 33.23/33.51 (define @t217 () (tptp.plus @t201 @t35)) % 33.23/33.51 (define @t218 () (= (tptp.a @t217 @t201) (tptp.qr @t217 @t201))) % 33.23/33.51 (define @t219 () (not (tptp.int_leq @t201 @t1))) % 33.23/33.51 (define @t220 () (not (tptp.int_leq tptp.int_one @t201))) % 33.23/33.51 (define @t221 () (not @t56)) % 33.23/33.51 (define @t222 () (or @t210 @t221 @t220 @t219 @t218)) % 33.23/33.51 (define @t223 () (@list @t35 @t201)) % 33.23/33.51 (define @t224 () (and (forall @t223 @t222) (forall @t29 @t216) (forall @t212 @t211))) % 33.23/33.51 (define @t225 () (or @t93 @t189 @t80 @t79 @t224)) % 33.23/33.51 (define @t226 () (or @t93 @t189 @t80 @t79)) % 33.23/33.51 (define @t227 () (or @t208 @t207 @t206)) % 33.23/33.51 (define @t228 () (or @t210 @t209 @t227)) % 33.23/33.51 (define @t229 () (forall @t212 @t228)) % 33.23/33.51 (define @t230 () (@list @t195)) % 33.23/33.51 (define @t231 () (forall @t230 @t228)) % 33.23/33.51 (define @t232 () (forall @t230 @t227)) % 33.23/33.51 (define @t233 () (or @t210 @t209 @t232)) % 33.23/33.51 (define @t234 () (= tptp.real_zero @t37)) % 33.23/33.51 (define @t235 () (not @t38)) % 33.23/33.51 (define @t236 () (or @t215 @t235 @t234)) % 33.23/33.51 (define @t237 () (forall @t29 @t236)) % 33.23/33.51 (define @t238 () (or @t210 @t209 @t237)) % 33.23/33.51 (define @t239 () (or @t215 @t214)) % 33.23/33.51 (define @t240 () (not @t51)) % 33.23/33.51 (define @t241 () (or @t220 @t219 @t218)) % 33.23/33.51 (define @t242 () (or @t210 @t221 @t241)) % 33.23/33.51 (define @t243 () (forall @t223 @t242)) % 33.23/33.51 (define @t244 () (@list @t201)) % 33.23/33.51 (define @t245 () (forall @t244 @t242)) % 33.23/33.51 (define @t246 () (forall @t244 @t241)) % 33.23/33.51 (define @t247 () (or @t210 @t221 @t246)) % 33.23/33.51 (define @t248 () (or @t215 @t214 @t54)) % 33.23/33.51 (define @t249 () (forall @t29 @t248)) % 33.23/33.51 (define @t250 () (or @t210 @t221 @t249)) % 33.23/33.51 (define @t251 () (not (= @t127 @t127))) % 33.23/33.51 (define @t252 () (or @t126 @t251 @t104 @t161 @t137)) % 33.23/33.51 (define @t253 () (and @t176 @t173 @t252)) % 33.23/33.51 (define @t254 () (not @t134)) % 33.23/33.51 (define @t255 () (tptp.int_leq @t96 tptp.n)) % 33.23/33.51 (define @t256 () (not @t255)) % 33.23/33.51 (define @t257 () (or @t104 @t256 @t170 @t254 @t253)) % 33.23/33.51 (define @t258 () (or @t104 @t256 @t170 @t254 @t177)) % 33.23/33.51 (define @t259 () (tptp.int_less @t96 tptp.n)) % 33.23/33.51 (define @t260 () (or @t259 (= @t96 tptp.n))) % 33.23/33.51 (define @t261 () (= @t255 @t260)) % 33.23/33.51 (define @t262 () (or @t259 (= tptp.n @t96))) % 33.23/33.51 (define @t263 () (= @t255 @t262)) % 33.23/33.51 (define @t264 () (not @t9)) % 33.23/33.51 (define @t265 () (not @t117)) % 33.23/33.51 (define @t266 () (or @t103 @t265 @t259)) % 33.23/33.51 (define @t267 () (not @t120)) % 33.23/33.51 (define @t268 () (not @t259)) % 33.23/33.51 (define @t269 () (not @t105)) % 33.23/33.51 (define @t270 () (not @t95)) % 33.23/33.51 (define @t271 () (not (= @t1 @t1))) % 33.23/33.51 (define @t272 () (or @t80 @t79 @t271 @t78)) % 33.23/33.51 (define @t273 () (not @t91)) % 33.23/33.51 (define @t274 () (or @t12 @t93 @t79 @t12 @t273)) % 33.23/33.51 (define @t275 () (or @t93 @t79 @t12 @t273)) % 33.23/33.51 (define @t276 () (forall @t15 @t275)) % 33.23/33.51 (define @t277 () (forall @t82 @t276)) % 33.23/33.51 (define @t278 () (forall (@list @t1 @t2) @t275)) % 33.23/33.51 (define @t279 () (or @t93 @t79 @t12)) % 33.23/33.51 (define @t280 () (or @t93 @t92 @t79)) % 33.23/33.51 (define @t281 () (not @t83)) % 33.23/33.51 (define @t282 () (tptp.a @t84 @t84)) % 33.23/33.51 (define @t283 () (= tptp.real_zero @t282)) % 33.23/33.51 (define @t284 () (not @t283)) % 33.23/33.51 (define @t285 () (tptp.int_leq @t84 tptp.n)) % 33.23/33.51 (define @t286 () (not @t285)) % 33.23/33.51 (define @t287 () (not @t86)) % 33.23/33.51 (define @t288 () (or @t287 @t286 @t284)) % 33.23/33.51 (define @t289 () (not @t288)) % 33.23/33.51 (define @t290 () (@list @t288)) % 33.23/33.51 (define @t291 () (tptp.int_less tptp.int_zero tptp.n)) % 33.23/33.51 (define @t292 () (tptp.int_leq tptp.int_one tptp.n)) % 33.23/33.51 (define @t293 () (= @t291 @t292)) % 33.23/33.51 (define @t294 () (= @t292 @t291)) % 33.23/33.51 (define @t295 () (= tptp.real_one @t282)) % 33.23/33.51 (define @t296 () (not @t295)) % 33.23/33.51 (define @t297 () (= tptp.real_one tptp.real_zero)) % 33.23/33.51 (define @t298 () (not @t297)) % 33.23/33.51 (define @t299 () (and @t298 @t283)) % 33.23/33.51 (define @t300 () (@list true false)) % 33.23/33.51 (define @t301 () (or @t287 @t286 @t295)) % 33.23/33.51 (define @t302 () (not @t301)) % 33.23/33.51 (define @t303 () (not @t292)) % 33.23/33.51 (define @t304 () (and (or @t144 (not (= tptp.int_one (tptp.plus tptp.n tptp.int_one))) @t172 @t303 @t175) @t301 (or @t144 (not (= tptp.n @t174)) @t172 @t172 (= tptp.real_zero (tptp.a tptp.int_one @t174))))) % 33.23/33.51 (define @t305 () (not @t304)) % 33.23/33.51 (define @t306 () (tptp.int_leq tptp.n tptp.n)) % 33.23/33.51 (define @t307 () (tptp.int_less tptp.n tptp.n)) % 33.23/33.51 (define @t308 () (or @t307 (= tptp.n tptp.n))) % 33.23/33.51 (define @t309 () (= @t306 @t308)) % 33.23/33.51 (define @t310 () (= @t13 @t171)) % 33.23/33.51 (define @t311 () (not @t306)) % 33.23/33.51 (define @t312 () (or @t172 @t303 @t303 @t311 @t304)) % 33.23/33.51 (define @t313 () (not @t291)) % 33.23/33.51 (define @t314 () (tptp.int_less @t84 tptp.n)) % 33.23/33.51 (define @t315 () (or @t314 (= @t84 tptp.n))) % 33.23/33.51 (define @t316 () (= @t285 @t315)) % 33.23/33.51 (define @t317 () (= tptp.n @t84)) % 33.23/33.51 (define @t318 () (or @t314 @t317)) % 33.23/33.51 (define @t319 () (= @t285 @t318)) % 33.23/33.51 (define @t320 () (not @t314)) % 33.23/33.51 (define @t321 () (not @t85)) % 33.23/33.51 (define @t322 () (or @t321 @t320 @t291)) % 33.23/33.51 (define @t323 () (not @t317)) % 33.23/33.51 (define @t324 () (and @t313 @t317 @t85)) % 33.23/33.51 (assume @p1 @t6) % 33.23/33.51 (assume @p2 @t11) % 33.23/33.51 (assume @p3 (forall @t5 (=> @t4 @t12))) % 33.23/33.51 (assume @p4 (forall @t5 (or @t4 (tptp.int_leq @t1 @t2)))) % 33.23/33.51 (assume @p5 @t13) % 33.23/33.51 (assume @p6 (forall @t5 (= (tptp.plus @t2 @t1) (tptp.plus @t1 @t2)))) % 33.23/33.51 (assume @p7 @t16) % 33.23/33.51 (assume @p8 @t25) % 33.23/33.51 (assume @p9 @t32) % 33.23/33.51 (assume @p10 @t34) % 33.23/33.51 (assume @p11 (not (= tptp.real_zero tptp.real_one))) % 33.23/33.51 (assume @p12 @t66) % 33.23/33.51 (assume @p13 @t77) % 33.23/33.51 (assume @p14 true) % 33.23/33.51 (step @p15 :rule eq-symm :args (@t85 @t86)) % 33.23/33.51 (step @p16 :rule refl :args (@t34)) % 33.23/33.51 (step @p17 :rule cong :premises (@p16 @p15) :args ((=> @t34 @t87))) % 33.23/33.51 (assume-push @p703 @t34) % 33.23/33.51 (step @p19 :rule instantiate :premises (@p10) :args ((@list @t84))) % 33.23/33.51 (step-pop @p704 :rule scope :premises (@p19)) % 33.23/33.51 (step @p20 :rule process_scope :premises (@p704) :args (@t87)) % 33.23/33.51 (step @p22 :rule eq_resolve :premises (@p20 @p17)) % 33.23/33.51 (step @p23 :rule implies_elim :premises (@p22)) % 33.23/33.51 (step @p24 :rule chain_m_resolution :premises (@p23 @p10) :args (@t88 @t89 @t90)) % 33.23/33.51 (step @p25 :rule bool-double-not-elim :args (@t97)) % 33.23/33.51 (step @p26 :rule refl :args (@t105)) % 33.23/33.51 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or @t105 (not @t104)))) % 33.23/33.51 (step @p28 :rule cnf_or_neg :args (@t105 0)) % 33.23/33.51 (step @p29 :rule eq_resolve :premises (@p28 @p27)) % 33.23/33.51 (step @p30 :rule reordering :premises (@p29) :args ((or @t97 @t105))) % 33.23/33.51 (step @p31 :rule bool-double-not-elim :args (@t102)) % 33.23/33.51 (step @p32 :rule nary_cong :premises (@p26 @p31) :args ((or @t105 (not @t103)))) % 33.23/33.51 (step @p33 :rule cnf_or_neg :args (@t105 1)) % 33.23/33.51 (step @p34 :rule eq_resolve :premises (@p33 @p32)) % 33.23/33.51 (step @p35 :rule reordering :premises (@p34) :args ((or @t102 @t105))) % 33.23/33.51 (step @p36 :rule bool-double-not-elim :args (@t100)) % 33.23/33.51 (step @p37 :rule nary_cong :premises (@p26 @p36) :args ((or @t105 (not @t101)))) % 33.23/33.51 (step @p38 :rule cnf_or_neg :args (@t105 2)) % 33.23/33.51 (step @p39 :rule eq_resolve :premises (@p38 @p37)) % 33.23/33.51 (step @p40 :rule reordering :premises (@p39) :args ((or @t100 @t105))) % 33.23/33.51 (step @p41 :rule cnf_or_neg :args (@t105 3)) % 33.23/33.51 (step @p42 :rule eq-symm :args (@t106 @t97)) % 33.23/33.51 (step @p43 :rule cong :premises (@p16 @p42) :args ((=> @t34 @t107))) % 33.23/33.51 (assume-push @p705 @t34) % 33.23/33.51 (step @p45 :rule instantiate :premises (@p10) :args ((@list @t96))) % 33.23/33.51 (step-pop @p706 :rule scope :premises (@p45)) % 33.23/33.51 (step @p46 :rule process_scope :premises (@p706) :args (@t107)) % 33.23/33.51 (step @p48 :rule eq_resolve :premises (@p46 @p43)) % 33.23/33.51 (step @p49 :rule implies_elim :premises (@p48)) % 33.23/33.51 (step @p50 :rule chain_m_resolution :premises (@p49 @p10) :args (@t108 @t89 @t90)) % 33.23/33.51 (step @p51 :rule cnf_equiv_pos1 :args (@t108)) % 33.23/33.51 (step @p52 :rule reordering :premises (@p51) :args ((or @t104 @t106 (not @t108)))) % 33.23/33.51 (step @p53 :rule bool-and-de-morgan :args (@t109 @t26 true)) % 33.23/33.51 (step @p54 :rule cong :premises (@p53) :args (@t111)) % 33.23/33.51 (step @p55 :rule cong :premises (@p54) :args (@t112)) % 33.23/33.51 (step @p56 :rule exists-elim :args ((= (exists @t29 @t110) @t112))) % 33.23/33.51 (step @p57 :rule trans :premises (@p56 @p55)) % 33.23/33.51 (step @p58 :rule refl :args (@t26)) % 33.23/33.51 (step @p59 :rule eq-symm :args (@t27 @t1)) % 33.23/33.51 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t28)) % 33.23/33.51 (step @p61 :rule cong :premises (@p60) :args (@t30)) % 33.23/33.51 (step @p62 :rule trans :premises (@p61 @p57)) % 33.23/33.51 (step @p63 :rule refl :args (@t4)) % 33.23/33.51 (step @p64 :rule cong :premises (@p63 @p62) :args (@t31)) % 33.23/33.51 (step @p65 :rule cong :premises (@p64) :args (@t32)) % 33.23/33.51 (step @p66 :rule eq_resolve :premises (@p9 @p65)) % 33.23/33.51 (step @p67 :rule instantiate :premises (@p66) :args ((@list @t96 @t98))) % 33.23/33.51 (step @p68 :rule cnf_equiv_pos1 :args (@t116)) % 33.23/33.51 (step @p69 :rule reordering :premises (@p68) :args ((or @t103 @t115 (not @t116)))) % 33.23/33.51 (step @p70 :rule eq-symm :args (@t98 tptp.n)) % 33.23/33.51 (step @p71 :rule refl :args (@t117)) % 33.23/33.51 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t118)) % 33.23/33.51 (step @p73 :rule refl :args (@t100)) % 33.23/33.51 (step @p74 :rule cong :premises (@p73 @p72) :args (@t119)) % 33.23/33.51 (step @p75 :rule refl :args (@t6)) % 33.23/33.51 (step @p76 :rule cong :premises (@p75 @p74) :args ((=> @t6 @t119))) % 33.23/33.51 (assume-push @p707 @t6) % 33.23/33.51 (step @p78 :rule instantiate :premises (@p1) :args ((@list @t98 tptp.n))) % 33.23/33.51 (step-pop @p708 :rule scope :premises (@p78)) % 33.23/33.51 (step @p79 :rule process_scope :premises (@p708) :args (@t119)) % 33.23/33.51 (step @p81 :rule eq_resolve :premises (@p79 @p76)) % 33.23/33.51 (step @p82 :rule implies_elim :premises (@p81)) % 33.23/33.51 (step @p83 :rule chain_m_resolution :premises (@p82 @p1) :args (@t122 @t89 @t123)) % 33.23/33.51 (step @p84 :rule cnf_equiv_pos1 :args (@t122)) % 33.23/33.51 (step @p85 :rule reordering :premises (@p84) :args ((or @t101 @t121 (not @t122)))) % 33.23/33.51 (step @p86 :rule refl :args (@t131)) % 33.23/33.51 (step @p87 :rule bool-double-not-elim :args (@t114)) % 33.23/33.51 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or (not @t115) @t131))) % 33.23/33.51 (assume-push @p709 @t115) % 33.23/33.51 (step @p90 :rule skolemize :premises (@p709)) % 33.23/33.51 (step-pop @p710 :rule scope :premises (@p90)) % 33.23/33.51 (step @p91 :rule process_scope :premises (@p710) :args (@t131)) % 33.23/33.51 (step @p93 :rule implies_elim :premises (@p91)) % 33.23/33.51 (step @p94 :rule eq_resolve :premises (@p93 @p88)) % 33.23/33.51 (step @p95 :rule bool-double-not-elim :args (@t128)) % 33.23/33.51 (step @p96 :rule refl :args (@t130)) % 33.23/33.51 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t130 (not @t129)))) % 33.23/33.51 (step @p98 :rule cnf_or_neg :args (@t130 0)) % 33.23/33.51 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 33.23/33.51 (step @p100 :rule reordering :premises (@p99) :args ((or @t128 @t130))) % 33.23/33.51 (step @p101 :rule bool-double-not-elim :args (@t125)) % 33.23/33.51 (step @p102 :rule nary_cong :premises (@p96 @p101) :args ((or @t130 (not @t126)))) % 33.23/33.51 (step @p103 :rule cnf_or_neg :args (@t130 1)) % 33.23/33.51 (step @p104 :rule eq_resolve :premises (@p103 @p102)) % 33.23/33.51 (step @p105 :rule reordering :premises (@p104) :args ((or @t125 @t130))) % 33.23/33.51 (step @p106 :rule instantiate :premises (@p10) :args ((@list @t124))) % 33.23/33.51 (step @p107 :rule cnf_equiv_pos1 :args (@t133)) % 33.23/33.51 (step @p108 :rule reordering :premises (@p107) :args ((or @t126 @t132 (not @t133)))) % 33.23/33.51 (assume-push @p711 @t100) % 33.23/33.51 (assume-push @p712 @t128) % 33.23/33.51 (assume-push @p713 @t100) % 33.23/33.51 (assume-push @p714 @t128) % 33.23/33.51 (step @p113 :rule true_intro :premises (@p711)) % 33.23/33.51 (step @p114 :rule refl :args (tptp.n)) % 33.23/33.51 (step @p115 :rule symm :premises (@p712)) % 33.23/33.51 (step @p116 :rule cong :premises (@p115 @p114) :args (@t134)) % 33.23/33.51 (step @p117 :rule trans :premises (@p116 @p113)) % 33.23/33.51 (step @p118 :rule true_elim :premises (@p117)) % 33.23/33.51 (step-pop @p715 :rule scope :premises (@p118)) % 33.23/33.51 (step-pop @p716 :rule scope :premises (@p715)) % 33.23/33.51 (step @p119 :rule process_scope :premises (@p716) :args (@t134)) % 33.23/33.51 (step @p122 :rule and_intro :premises (@p711 @p712)) % 33.23/33.51 (step @p123 :rule modus_ponens :premises (@p122 @p119)) % 33.23/33.51 (step-pop @p717 :rule scope :premises (@p123)) % 33.23/33.51 (step-pop @p718 :rule scope :premises (@p717)) % 33.23/33.51 (step @p124 :rule process_scope :premises (@p718) :args (@t134)) % 33.23/33.51 (step @p127 :rule implies_elim :premises (@p124)) % 33.23/33.51 (step @p128 :rule cnf_and_neg :args (@t135)) % 33.23/33.51 (step @p129 :rule resolution :premises (@p128 @p127) :args (true @t135)) % 33.23/33.51 (step @p130 :rule refl :args (@t138)) % 33.23/33.51 (step @p131 :rule refl :args (@t129)) % 33.23/33.51 (step @p132 :rule bool-double-not-elim :args (@t99)) % 33.23/33.51 (step @p133 :rule nary_cong :premises (@p132 @p131 @p130) :args ((or (not @t139) @t129 @t138))) % 33.23/33.51 (assume-push @p719 @t139) % 33.23/33.51 (assume-push @p720 @t128) % 33.23/33.51 (assume-push @p721 @t139) % 33.23/33.51 (assume-push @p722 @t128) % 33.23/33.51 (step @p138 :rule false_intro :premises (@p719)) % 33.23/33.51 (step @p139 :rule symm :premises (@p720)) % 33.23/33.51 (step @p140 :rule refl :args (@t96)) % 33.23/33.51 (step @p141 :rule cong :premises (@p140 @p139) :args (@t136)) % 33.23/33.51 (step @p142 :rule refl :args (tptp.real_zero)) % 33.23/33.51 (step @p143 :rule cong :premises (@p142 @p141) :args (@t137)) % 33.23/33.51 (step @p144 :rule trans :premises (@p143 @p138)) % 33.23/33.51 (step @p145 :rule false_elim :premises (@p144)) % 33.23/33.51 (step-pop @p723 :rule scope :premises (@p145)) % 33.23/33.51 (step-pop @p724 :rule scope :premises (@p723)) % 33.23/33.51 (step @p146 :rule process_scope :premises (@p724) :args (@t138)) % 33.23/33.51 (step @p149 :rule and_intro :premises (@p719 @p720)) % 33.23/33.51 (step @p150 :rule modus_ponens :premises (@p149 @p146)) % 33.23/33.51 (step-pop @p725 :rule scope :premises (@p150)) % 33.23/33.51 (step-pop @p726 :rule scope :premises (@p725)) % 33.23/33.51 (step @p151 :rule process_scope :premises (@p726) :args (@t138)) % 33.23/33.51 (step @p154 :rule implies_elim :premises (@p151)) % 33.23/33.51 (step @p155 :rule cnf_and_neg :args (@t140)) % 33.23/33.51 (step @p156 :rule resolution :premises (@p155 @p154) :args (true @t140)) % 33.23/33.51 (step @p157 :rule eq_resolve :premises (@p156 @p133)) % 33.23/33.51 (step @p158 :rule instantiate :premises (@p66) :args ((@list tptp.int_zero tptp.int_one))) % 33.23/33.51 (step @p159 :rule cnf_equiv_pos1 :args (@t143)) % 33.23/33.51 (step @p160 :rule reordering :premises (@p159) :args ((or @t144 @t142 (not @t143)))) % 33.23/33.51 (step @p161 :rule chain_m_resolution :premises (@p160 @p5 @p158) :args (@t142 @t145 (@list @t13 @t143))) % 33.23/33.51 (step @p162 :rule skolemize :premises (@p161)) % 33.23/33.51 (step @p163 :rule bool-double-not-elim :args (@t148)) % 33.23/33.51 (step @p164 :rule refl :args (@t150)) % 33.23/33.51 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or @t150 (not @t149)))) % 33.23/33.51 (step @p166 :rule cnf_or_neg :args (@t150 0)) % 33.23/33.51 (step @p167 :rule eq_resolve :premises (@p166 @p165)) % 33.23/33.51 (step @p168 :rule reordering :premises (@p167) :args ((or @t148 @t150))) % 33.23/33.51 (step @p169 :rule chain_m_resolution :premises (@p168 @p162) :args (@t148 @t151 (@list @t150))) % 33.23/33.51 (step @p170 :rule instantiate :premises (@p6) :args ((@list tptp.int_zero @t146))) % 33.23/33.51 (step @p171 :rule eq-symm :args (@t14 @t2)) % 33.23/33.51 (step @p172 :rule cong :premises (@p171) :args (@t16)) % 33.23/33.51 (step @p173 :rule eq_resolve :premises (@p7 @p172)) % 33.23/33.51 (step @p174 :rule instantiate :premises (@p173) :args ((@list @t146))) % 33.23/33.51 (assume-push @p727 @t148) % 33.23/33.51 (assume-push @p728 @t153) % 33.23/33.51 (assume-push @p729 @t132) % 33.23/33.51 (assume-push 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33.23/33.51 (step @p422 :rule refl :args (@t255)) % 33.23/33.51 (step @p423 :rule cong :premises (@p422 @p421) :args (@t261)) % 33.23/33.51 (step @p424 :rule cong :premises (@p75 @p423) :args ((=> @t6 @t261))) % 33.23/33.51 (assume-push @p755 @t6) % 33.23/33.51 (step @p426 :rule instantiate :premises (@p1) :args ((@list @t96 tptp.n))) % 33.23/33.51 (step-pop @p756 :rule scope :premises (@p426)) % 33.23/33.51 (step @p427 :rule process_scope :premises (@p756) :args (@t261)) % 33.23/33.51 (step @p429 :rule eq_resolve :premises (@p427 @p424)) % 33.23/33.51 (step @p430 :rule implies_elim :premises (@p429)) % 33.23/33.51 (step @p431 :rule chain_m_resolution :premises (@p430 @p1) :args (@t263 @t89 @t123)) % 33.23/33.51 (step @p432 :rule cnf_equiv_pos2 :args (@t263)) % 33.23/33.51 (step @p433 :rule reordering :premises (@p432) :args ((or @t255 (not @t262) (not @t263)))) % 33.23/33.51 (step @p434 :rule cnf_or_neg :args (@t262 0)) % 33.23/33.51 (step @p435 :rule aci_norm :args ((= (or (or @t92 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33.23/33.51 (step @p449 :rule bool-double-not-elim :args (@t259)) % 33.23/33.51 (step @p450 :rule refl :args (@t267)) % 33.23/33.51 (step @p451 :rule refl :args (@t103)) % 33.23/33.51 (step @p452 :rule nary_cong :premises (@p451 @p450 @p449) :args ((or @t103 @t267 (not @t268)))) % 33.23/33.51 (assume-push @p757 @t102) % 33.23/33.51 (assume-push @p758 @t120) % 33.23/33.51 (assume-push @p759 @t268) % 33.23/33.51 (step @p456 :rule evaluate :args ((= false true))) % 33.23/33.51 (step @p457 :rule true_intro :premises (@p757)) % 33.23/33.51 (step @p140 :rule refl :args (@t96)) % 33.23/33.51 (step @p458 :rule cong :premises (@p140 @p758) :args (@t259)) % 33.23/33.51 (step @p459 :rule false_intro :premises (@p759)) % 33.23/33.51 (step @p460 :rule symm :premises (@p459)) % 33.23/33.51 (step @p461 :rule trans :premises (@p460 @p458 @p457)) % 33.23/33.51 (step @p462 false :rule eq_resolve :premises (@p461 @p456)) % 33.23/33.51 (step-pop @p760 :rule scope :premises (@p462)) % 33.23/33.51 (step-pop 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@t108 @t99 @t100 @t102 @t97))) % 33.23/33.51 (step @p470 :rule refl :args (@t269)) % 33.23/33.51 (step @p471 :rule bool-double-not-elim :args (@t95)) % 33.23/33.51 (step @p472 :rule nary_cong :premises (@p471 @p470) :args ((or (not @t270) @t269))) % 33.23/33.51 (assume-push @p763 @t270) % 33.23/33.51 (step @p474 :rule skolemize :premises (@p763)) % 33.23/33.51 (step-pop @p764 :rule scope :premises (@p474)) % 33.23/33.51 (step @p475 :rule process_scope :premises (@p764) :args (@t269)) % 33.23/33.51 (step @p477 :rule implies_elim :premises (@p475)) % 33.23/33.51 (step @p478 :rule eq_resolve :premises (@p477 @p472)) % 33.23/33.51 (step @p479 :rule chain_m_resolution :premises (@p478 @p469) :args (@t95 @t89 (@list @t105))) % 33.23/33.51 (step @p480 :rule aci_norm :args ((= (or @t80 @t79 false @t78) @t81))) % 33.23/33.51 (step @p481 :rule refl :args (@t78)) % 33.23/33.51 (step @p482 :rule eq-refl :args (@t1)) % 33.23/33.51 (step @p483 :rule cong :premises (@p482) :args (@t271)) % 33.23/33.51 (step @p484 :rule trans :premises (@p483 @p394)) % 33.23/33.51 (step @p485 :rule refl :args (@t79)) % 33.23/33.51 (step @p486 :rule refl :args (@t80)) % 33.23/33.51 (step @p487 :rule nary_cong :premises (@p486 @p485 @p484 @p481) :args (@t272)) % 33.23/33.51 (step @p488 :rule trans :premises (@p487 @p480)) % 33.23/33.51 (step @p489 :rule cong :premises (@p488) :args ((forall @t82 @t272))) % 33.23/33.51 (step @p490 :rule quant-var-elim-eq :args ((= (forall @t15 @t274) @t272))) % 33.23/33.51 (step @p491 :rule aci_norm :args ((= @t275 @t274))) % 33.23/33.51 (step @p492 :rule cong :premises (@p491) :args (@t276)) % 33.23/33.51 (step @p493 :rule trans :premises (@p492 @p490)) % 33.23/33.51 (step @p494 :rule cong :premises (@p493) :args (@t277)) % 33.23/33.51 (step @p495 :rule quant-merge-prenex :args ((= @t277 @t278))) % 33.23/33.51 (step @p496 :rule symm :premises (@p495)) % 33.23/33.51 (step @p497 :rule quant_var_reordering :args ((= (forall @t5 @t275) @t278))) % 33.23/33.51 (step @p498 :rule trans :premises (@p497 @p496 @p494)) % 33.23/33.51 (step @p499 :rule trans :premises (@p498 @p489)) % 33.23/33.51 (step @p500 :rule aci_norm :args ((= (or @t279 @t273) @t275))) % 33.23/33.51 (step @p501 :rule refl :args (@t273)) % 33.23/33.51 (step @p502 :rule aci_norm :args ((= (or @t93 (or @t79 @t12)) @t279))) % 33.23/33.51 (step @p503 :rule bool-and-de-morgan :args (@t61 @t3 true)) % 33.23/33.51 (step @p504 :rule nary_cong :premises (@p276 @p503) :args ((or @t93 (not (and @t61 @t3))))) % 33.23/33.51 (step @p505 :rule bool-and-de-morgan :args (@t33 @t61 (and @t3))) % 33.23/33.51 (step @p506 :rule trans :premises (@p505 @p504)) % 33.23/33.51 (step @p507 :rule trans :premises (@p506 @p502)) % 33.23/33.51 (step @p508 :rule nary_cong :premises (@p507 @p501) :args ((or (not @t70) @t273))) % 33.23/33.51 (step @p509 :rule trans :premises (@p508 @p500)) % 33.23/33.51 (step @p510 :rule bool-impl-elim :args (@t70 @t273)) % 33.23/33.51 (step @p511 :rule trans :premises (@p510 @p509)) % 33.23/33.51 (step @p512 :rule cong :premises (@p511) :args ((forall @t5 (=> @t70 @t273)))) % 33.23/33.51 (step @p513 :rule trans :premises (@p512 @p499)) % 33.23/33.51 (step @p514 :rule eq-symm :args (@t67 tptp.real_zero)) % 33.23/33.51 (step @p515 :rule cong :premises (@p514) :args (@t69)) % 33.23/33.51 (step @p516 :rule refl :args (@t70)) % 33.23/33.51 (step @p517 :rule cong :premises (@p516 @p515) :args (@t71)) % 33.23/33.51 (step @p518 :rule cong :premises (@p517) :args (@t72)) % 33.23/33.51 (step @p519 :rule trans :premises (@p518 @p513)) % 33.23/33.51 (step @p520 :rule aci_norm :args ((= (or @t280 @t91) @t94))) % 33.23/33.51 (step @p521 :rule refl :args (@t91)) % 33.23/33.51 (step @p522 :rule aci_norm :args ((= (or @t93 (or @t92 @t79)) @t280))) % 33.23/33.51 (step @p523 :rule bool-and-de-morgan :args (@t4 @t61 true)) % 33.23/33.51 (step @p524 :rule nary_cong :premises (@p276 @p523) :args ((or @t93 (not (and @t4 @t61))))) % 33.23/33.51 (step @p525 :rule 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refl :args (@t288)) % 33.23/33.51 (step @p554 :rule nary_cong :premises (@p553 @p552) :args ((or @t288 (not @t287)))) % 33.23/33.51 (step @p555 :rule cnf_or_neg :args (@t288 0)) % 33.23/33.51 (step @p556 :rule eq_resolve :premises (@p555 @p554)) % 33.23/33.51 (step @p557 :rule reordering :premises (@p556) :args ((or @t86 @t288))) % 33.23/33.51 (step @p558 :rule chain_m_resolution :premises (@p557 @p551) :args (@t86 @t151 @t290)) % 33.23/33.51 (step @p559 :rule cnf_equiv_pos1 :args (@t88)) % 33.23/33.51 (step @p560 :rule reordering :premises (@p559) :args ((or @t287 @t85 (not @t88)))) % 33.23/33.51 (step @p561 :rule chain_m_resolution :premises (@p560 @p558 @p24) :args (@t85 @t145 (@list @t86 @t88))) % 33.23/33.51 (step @p562 :rule eq-symm :args (@t291 @t292)) % 33.23/33.51 (step @p563 :rule cong :premises (@p16 @p562) :args ((=> @t34 @t293))) % 33.23/33.51 (assume-push @p767 @t34) % 33.23/33.51 (step @p565 :rule instantiate :premises (@p10) :args ((@list tptp.n))) % 33.23/33.51 (step-pop @p768 :rule scope :premises (@p565)) % 33.23/33.51 (step @p566 :rule process_scope :premises (@p768) :args (@t293)) % 33.23/33.51 (step @p568 :rule eq_resolve :premises (@p566 @p563)) % 33.23/33.51 (step @p569 :rule implies_elim :premises (@p568)) % 33.23/33.51 (step @p570 :rule chain_m_resolution :premises (@p569 @p10) :args (@t294 @t89 @t90)) % 33.23/33.51 (step @p571 :rule instantiate :premises (@p389) :args ((@list tptp.int_one tptp.n tptp.int_one tptp.int_one @t84 tptp.int_one tptp.int_one))) % 33.23/33.51 (step @p572 :rule bool-double-not-elim :args (@t283)) % 33.23/33.51 (step @p573 :rule nary_cong :premises (@p553 @p572) :args ((or @t288 (not @t284)))) % 33.23/33.51 (step @p574 :rule cnf_or_neg :args (@t288 2)) % 33.23/33.51 (step @p575 :rule eq_resolve :premises (@p574 @p573)) % 33.23/33.51 (step @p576 :rule reordering :premises (@p575) :args ((or @t283 @t288))) % 33.23/33.51 (step @p577 :rule chain_m_resolution :premises (@p576 @p551) :args (@t283 @t151 @t290)) % 33.23/33.51 (step @p578 :rule symm :premises (@p11)) % 33.23/33.51 (step @p579 :rule refl :args (@t296)) % 33.23/33.51 (step @p580 :rule refl :args (@t284)) % 33.23/33.51 (step @p581 :rule bool-double-not-elim :args (@t297)) % 33.23/33.51 (step @p582 :rule nary_cong :premises (@p581 @p580 @p579) :args ((or (not @t298) @t284 @t296))) % 33.23/33.51 (assume-push @p769 @t298) % 33.23/33.51 (assume-push @p770 @t283) % 33.23/33.51 (assume-push @p771 @t298) % 33.23/33.51 (assume-push @p772 @t283) % 33.23/33.51 (step @p587 :rule false_intro :premises (@p578)) % 33.23/33.51 (step @p588 :rule symm :premises (@p770)) % 33.23/33.51 (step @p589 :rule refl :args (tptp.real_one)) % 33.23/33.51 (step @p590 :rule cong :premises (@p589 @p588) :args (@t295)) % 33.23/33.51 (step @p591 :rule trans :premises (@p590 @p587)) % 33.23/33.51 (step @p592 :rule false_elim :premises (@p591)) % 33.23/33.51 (step-pop @p773 :rule scope :premises (@p592)) % 33.23/33.51 (step-pop @p774 :rule scope :premises (@p773)) % 33.23/33.51 (step @p593 :rule process_scope :premises (@p774) :args (@t296)) % 33.23/33.51 (step @p596 :rule and_intro :premises (@p578 @p770)) % 33.23/33.51 (step @p597 :rule modus_ponens :premises (@p596 @p593)) % 33.23/33.51 (step-pop @p775 :rule scope :premises (@p597)) % 33.23/33.51 (step-pop @p776 :rule scope :premises (@p775)) % 33.23/33.51 (step @p598 :rule process_scope :premises (@p776) :args (@t296)) % 33.23/33.51 (step @p601 :rule implies_elim :premises (@p598)) % 33.23/33.51 (step @p602 :rule cnf_and_neg :args (@t299)) % 33.23/33.51 (step @p603 :rule resolution :premises (@p602 @p601) :args (true @t299)) % 33.23/33.51 (step @p604 :rule eq_resolve :premises (@p603 @p582)) % 33.23/33.51 (step @p605 :rule chain_m_resolution :premises (@p604 @p578 @p577) :args (@t296 @t300 (@list @t297 @t283))) % 33.23/33.51 (step @p606 :rule bool-double-not-elim :args (@t285)) % 33.23/33.51 (step @p607 :rule nary_cong :premises (@p553 @p606) :args ((or @t288 (not @t286)))) % 33.23/33.51 (step @p608 :rule cnf_or_neg :args (@t288 1)) % 33.23/33.51 (step @p609 :rule eq_resolve :premises (@p608 @p607)) % 33.23/33.51 (step @p610 :rule reordering :premises (@p609) :args ((or @t285 @t288))) % 33.23/33.51 (step @p611 :rule chain_m_resolution :premises (@p610 @p551) :args (@t285 @t151 @t290)) % 33.23/33.51 (step @p612 :rule cnf_or_pos :args (@t301)) % 33.23/33.51 (step @p613 :rule reordering :premises (@p612) :args ((or @t287 @t286 @t295 @t302))) % 33.23/33.51 (step @p614 :rule chain_m_resolution :premises (@p613 @p558 @p611 @p605) :args (@t302 (@list false false true) (@list @t86 @t285 @t295))) % 33.23/33.51 (step @p615 :rule cnf_and_pos :args (@t304 1)) % 33.23/33.51 (step @p616 :rule reordering :premises (@p615) :args ((or @t301 @t305))) % 33.23/33.51 (step @p617 :rule chain_m_resolution :premises (@p616 @p614) :args (@t305 @t151 (@list @t301))) % 33.23/33.51 (step @p618 :rule bool-eq-true :args (@t306)) % 33.23/33.51 (step @p619 :rule absorb :args ((= (or @t307 true) true))) % 33.23/33.51 (step @p620 :rule eq-refl :args (tptp.n)) % 33.23/33.51 (step @p621 :rule refl :args (@t307)) % 33.23/33.51 (step @p622 :rule nary_cong :premises (@p621 @p620) :args (@t308)) % 33.23/33.51 (step @p623 :rule trans :premises (@p622 @p619)) % 33.23/33.51 (step @p624 :rule refl :args (@t306)) % 33.23/33.51 (step @p625 :rule cong :premises (@p624 @p623) :args (@t309)) % 33.23/33.51 (step @p626 :rule trans :premises (@p625 @p618)) % 33.23/33.51 (step @p627 :rule cong :premises (@p75 @p626) :args ((=> @t6 @t309))) % 33.23/33.51 (assume-push @p777 @t6) % 33.23/33.51 (step @p629 :rule instantiate :premises (@p1) :args ((@list tptp.n tptp.n))) % 33.23/33.51 (step-pop @p778 :rule scope :premises (@p629)) % 33.23/33.51 (step @p630 :rule process_scope :premises (@p778) :args (@t309)) % 33.23/33.51 (step @p632 :rule eq_resolve :premises (@p630 @p627)) % 33.23/33.51 (step @p633 :rule implies_elim :premises (@p632)) % 33.23/33.51 (step @p634 :rule chain_m_resolution :premises (@p633 @p1) :args (@t306 @t89 @t123)) % 33.23/33.51 (step @p635 :rule instantiate :premises (@p10) :args ((@list tptp.int_one))) % 33.23/33.51 (step @p636 :rule cnf_equiv_pos1 :args (@t310)) % 33.23/33.51 (step @p637 :rule reordering :premises (@p636) :args ((or @t144 @t171 (not @t310)))) % 33.23/33.51 (step @p638 :rule chain_m_resolution :premises (@p637 @p5 @p635) :args (@t171 @t145 (@list @t13 @t310))) % 33.23/33.51 (step @p639 :rule cnf_or_pos :args (@t312)) % 33.23/33.51 (step @p640 :rule factoring :premises (@p639)) % 33.23/33.51 (step @p641 :rule reordering :premises (@p640) :args ((or @t172 @t303 @t311 @t304 (not @t312)))) % 33.23/33.51 (step @p642 :rule chain_m_resolution :premises (@p641 @p638 @p634 @p617 @p571) :args (@t303 (@list false false true false) (@list @t171 @t306 @t304 @t312))) % 33.23/33.51 (step @p643 :rule cnf_equiv_pos2 :args (@t294)) % 33.23/33.51 (step @p644 :rule reordering :premises (@p643) :args ((or @t292 @t313 (not @t294)))) % 33.23/33.51 (step @p645 :rule chain_m_resolution :premises (@p644 @p642 @p570) :args (@t313 @t300 (@list @t292 @t294))) % 33.23/33.51 (step @p646 :rule eq-symm :args (@t84 tptp.n)) % 33.23/33.51 (step @p647 :rule refl :args (@t314)) % 33.23/33.51 (step @p648 :rule nary_cong :premises (@p647 @p646) :args (@t315)) % 33.23/33.51 (step @p649 :rule refl :args (@t285)) % 33.23/33.51 (step @p650 :rule cong :premises (@p649 @p648) :args (@t316)) % 33.23/33.51 (step @p651 :rule cong :premises (@p75 @p650) :args ((=> @t6 @t316))) % 33.23/33.51 (assume-push @p779 @t6) % 33.23/33.51 (step @p653 :rule instantiate :premises (@p1) :args ((@list @t84 tptp.n))) % 33.23/33.51 (step-pop @p780 :rule scope :premises (@p653)) % 33.23/33.51 (step @p654 :rule process_scope :premises (@p780) :args (@t316)) % 33.23/33.51 (step @p656 :rule eq_resolve :premises (@p654 @p651)) % 33.23/33.51 (step @p657 :rule implies_elim :premises (@p656)) % 33.23/33.51 (step @p658 :rule chain_m_resolution :premises (@p657 @p1) :args (@t319 @t89 @t123)) % 33.23/33.51 (step @p659 :rule cnf_equiv_pos1 :args (@t319)) % 33.23/33.51 (step @p660 :rule reordering :premises (@p659) :args ((or @t286 @t318 (not @t319)))) % 33.23/33.51 (step @p661 :rule chain_m_resolution :premises (@p660 @p611 @p658) :args (@t318 @t145 (@list @t285 @t319))) % 33.23/33.51 (step @p662 :rule instantiate :premises (@p443) :args ((@list tptp.int_zero @t84 tptp.n))) % 33.23/33.51 (step @p663 :rule cnf_or_pos :args (@t322)) % 33.23/33.51 (step @p664 :rule reordering :premises (@p663) :args ((or @t291 @t320 @t321 (not @t322)))) % 33.23/33.51 (step @p665 :rule chain_m_resolution :premises (@p664 @p645 @p561 @p662) :args (@t320 (@list true false false) (@list @t291 @t85 @t322))) % 33.23/33.51 (step @p666 :rule cnf_or_pos :args (@t318)) % 33.23/33.51 (step @p667 :rule reordering :premises (@p666) :args ((or @t314 @t317 (not @t318)))) % 33.23/33.51 (step @p668 :rule chain_m_resolution :premises (@p667 @p665 @p661) :args (@t317 @t300 (@list @t314 @t318))) % 33.23/33.51 (step @p669 :rule bool-double-not-elim :args (@t291)) % 33.23/33.51 (step @p670 :rule refl :args (@t321)) % 33.23/33.51 (step @p671 :rule refl :args (@t323)) % 33.23/33.51 (step @p672 :rule nary_cong :premises (@p671 @p670 @p669) :args ((or @t323 @t321 (not @t313)))) % 33.23/33.51 (assume-push @p781 @t313) % 33.23/33.51 (assume-push @p782 @t317) % 33.23/33.51 (assume-push @p783 @t85) % 33.23/33.51 (step @p676 :rule evaluate :args ((= true false))) % 33.23/33.51 (step @p677 :rule false_intro :premises (@p781)) % 33.23/33.51 (step @p678 :rule symm :premises (@p782)) % 33.23/33.51 (step @p679 :rule refl :args (tptp.int_zero)) % 33.23/33.51 (step @p680 :rule cong :premises (@p679 @p678) :args (@t85)) % 33.23/33.51 (step @p681 :rule true_intro :premises (@p783)) % 33.23/33.51 (step @p682 :rule symm :premises (@p681)) % 33.23/33.51 (step @p683 :rule trans :premises (@p682 @p680 @p677)) % 33.23/33.51 (step @p684 false :rule eq_resolve :premises (@p683 @p676)) % 33.23/33.51 (step-pop @p784 :rule scope :premises (@p684)) % 33.23/33.51 (step-pop @p785 :rule scope :premises (@p784)) % 33.23/33.51 (step-pop @p786 :rule scope :premises (@p785)) % 33.23/33.51 (step @p685 :rule process_scope :premises (@p786) :args (false)) % 33.23/33.51 (assume-push @p787 @t317) % 33.23/33.51 (assume-push @p788 @t85) % 33.23/33.51 (assume-push @p789 @t313) % 33.23/33.51 (step @p692 :rule and_intro :premises (@p789 @p787 @p788)) % 33.23/33.51 (step-pop @p790 :rule scope :premises (@p692)) % 33.23/33.51 (step-pop @p791 :rule scope :premises (@p790)) % 33.23/33.51 (step-pop @p792 :rule scope :premises (@p791)) % 33.23/33.51 (step @p693 :rule process_scope :premises (@p792) :args (@t324)) % 33.23/33.51 (step @p697 :rule implies_elim :premises (@p693)) % 33.23/33.51 (step @p698 :rule resolution :premises (@p697 @p685) :args (true @t324)) % 33.23/33.51 (step @p699 :rule not_and :premises (@p698)) % 33.23/33.51 (step @p700 :rule eq_resolve :premises (@p699 @p672)) % 33.23/33.51 (step @p701 :rule reordering :premises (@p700) :args ((or @t291 @t323 @t321))) % 33.23/33.51 (step @p702 false :rule chain_m_resolution :premises (@p701 @p668 @p645 @p561) :args (false (@list false true false) (@list @t317 @t291 @t85))) % 33.23/33.51 ) % 33.23/33.51 % SZS output end Proof % 33.23/33.51 % cvc5 exiting %------------------------------------------------------------------------------