%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV490+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n016.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 48.43s 48.66s % Output : Proof 48.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV490+3 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.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 20:21:09 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 48.43/48.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 48.43/48.66 --- Run --no-e-matching --full-saturate-quant at 6... % 48.43/48.66 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 48.43/48.66 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 48.43/48.66 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 48.43/48.66 % SZS status Theorem % 48.43/48.66 % SZS output start Proof % 48.43/48.66 ( % 48.43/48.66 (declare-sort $$unsorted 0) % 48.43/48.66 (declare-const tptp.n $$unsorted) % 48.43/48.66 (declare-const tptp.real_one $$unsorted) % 48.43/48.66 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 48.43/48.66 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 48.43/48.66 (declare-const tptp.real_zero $$unsorted) % 48.43/48.66 (declare-const tptp.int_zero $$unsorted) % 48.43/48.66 (declare-const tptp.int_one $$unsorted) % 48.43/48.66 (declare-const tptp.int_leq (-> $$unsorted $$unsorted Bool)) % 48.43/48.66 (declare-const tptp.int_less (-> $$unsorted $$unsorted Bool)) % 48.43/48.66 (define @t1 () (@var "J" $$unsorted)) % 48.43/48.66 (define @t2 () (@var "I" $$unsorted)) % 48.43/48.66 (define @t3 () (= @t2 @t1)) % 48.43/48.66 (define @t4 () (tptp.int_less @t2 @t1)) % 48.43/48.66 (define @t5 () (@list @t2 @t1)) % 48.43/48.66 (define @t6 () (forall @t5 (= (tptp.int_leq @t2 @t1) (or @t4 @t3)))) % 48.43/48.66 (define @t7 () (@var "K" $$unsorted)) % 48.43/48.66 (define @t8 () (not @t3)) % 48.43/48.66 (define @t9 () (tptp.int_less tptp.int_zero tptp.int_one)) % 48.43/48.66 (define @t10 () (@list @t2)) % 48.43/48.66 (define @t11 () (@var "J2" $$unsorted)) % 48.43/48.66 (define @t12 () (@var "J1" $$unsorted)) % 48.43/48.66 (define @t13 () (@var "I2" $$unsorted)) % 48.43/48.66 (define @t14 () (@var "I1" $$unsorted)) % 48.43/48.66 (define @t15 () (tptp.int_less tptp.int_zero @t7)) % 48.43/48.66 (define @t16 () (tptp.plus @t2 @t7)) % 48.43/48.66 (define @t17 () (and (= @t16 @t1) @t15)) % 48.43/48.66 (define @t18 () (@list @t7)) % 48.43/48.66 (define @t19 () (exists @t18 @t17)) % 48.43/48.66 (define @t20 () (= @t4 @t19)) % 48.43/48.66 (define @t21 () (forall @t5 @t20)) % 48.43/48.66 (define @t22 () (tptp.int_leq tptp.int_one @t2)) % 48.43/48.66 (define @t23 () (@var "C" $$unsorted)) % 48.43/48.66 (define @t24 () (tptp.plus @t7 @t23)) % 48.43/48.66 (define @t25 () (tptp.a @t7 @t24)) % 48.43/48.66 (define @t26 () (tptp.int_leq @t7 @t2)) % 48.43/48.66 (define @t27 () (tptp.int_leq tptp.int_one @t7)) % 48.43/48.66 (define @t28 () (and @t27 @t26)) % 48.43/48.66 (define @t29 () (=> @t28 (= @t25 tptp.real_zero))) % 48.43/48.66 (define @t30 () (forall @t18 @t29)) % 48.43/48.66 (define @t31 () (= @t1 (tptp.plus @t2 @t23))) % 48.43/48.66 (define @t32 () (tptp.int_less tptp.int_zero @t23)) % 48.43/48.66 (define @t33 () (and @t32 @t31)) % 48.43/48.66 (define @t34 () (=> @t33 @t30)) % 48.43/48.66 (define @t35 () (@list @t23)) % 48.43/48.66 (define @t36 () (forall @t35 @t34)) % 48.43/48.66 (define @t37 () (tptp.a @t7 @t7)) % 48.43/48.66 (define @t38 () (tptp.int_leq @t7 @t1)) % 48.43/48.66 (define @t39 () (and @t27 @t38)) % 48.43/48.66 (define @t40 () (=> @t39 (= @t37 tptp.real_one))) % 48.43/48.66 (define @t41 () (forall @t18 @t40)) % 48.43/48.66 (define @t42 () (tptp.a @t24 @t7)) % 48.43/48.66 (define @t43 () (=> @t39 (= @t42 tptp.real_zero))) % 48.43/48.66 (define @t44 () (forall @t18 @t43)) % 48.43/48.66 (define @t45 () (= @t2 (tptp.plus @t1 @t23))) % 48.43/48.66 (define @t46 () (and @t32 @t45)) % 48.43/48.66 (define @t47 () (=> @t46 @t44)) % 48.43/48.66 (define @t48 () (forall @t35 @t47)) % 48.43/48.66 (define @t49 () (and @t48 @t41 @t36)) % 48.43/48.66 (define @t50 () (tptp.int_leq @t1 tptp.n)) % 48.43/48.66 (define @t51 () (tptp.int_leq tptp.int_one @t1)) % 48.43/48.66 (define @t52 () (tptp.int_leq @t2 tptp.n)) % 48.43/48.66 (define @t53 () (and @t22 @t52 @t51 @t50)) % 48.43/48.66 (define @t54 () (=> @t53 @t49)) % 48.43/48.66 (define @t55 () (forall @t5 @t54)) % 48.43/48.66 (define @t56 () (tptp.a @t2 @t1)) % 48.43/48.66 (define @t57 () (= @t56 tptp.real_zero)) % 48.43/48.66 (define @t58 () (not @t57)) % 48.43/48.66 (define @t59 () (=> @t3 @t58)) % 48.43/48.66 (define @t60 () (=> @t8 @t57)) % 48.43/48.66 (define @t61 () (and @t60 @t59)) % 48.43/48.66 (define @t62 () (=> @t53 @t61)) % 48.43/48.66 (define @t63 () (forall @t5 @t62)) % 48.43/48.66 (define @t64 () (not @t63)) % 48.43/48.66 (define @t65 () (@var "BOUND_VARIABLE_7673" $$unsorted)) % 48.43/48.66 (define @t66 () (@var "BOUND_VARIABLE_7675" $$unsorted)) % 48.43/48.66 (define @t67 () (or (not (tptp.int_less tptp.int_zero @t65)) (not (= @t1 (tptp.plus @t2 @t65))) (not (tptp.int_leq tptp.int_one @t66)) (not (tptp.int_leq @t66 @t2)) (= tptp.real_zero (tptp.a @t66 (tptp.plus @t66 @t65))))) % 48.43/48.66 (define @t68 () (@var "BOUND_VARIABLE_7664" $$unsorted)) % 48.43/48.66 (define @t69 () (or (not (tptp.int_leq tptp.int_one @t68)) (not (tptp.int_leq @t68 @t1)) (= tptp.real_one (tptp.a @t68 @t68)))) % 48.43/48.66 (define @t70 () (@var "BOUND_VARIABLE_7649" $$unsorted)) % 48.43/48.66 (define @t71 () (@var "BOUND_VARIABLE_7647" $$unsorted)) % 48.43/48.66 (define @t72 () (or (not (tptp.int_less tptp.int_zero @t71)) (not (= @t2 (tptp.plus @t1 @t71))) (not (tptp.int_leq tptp.int_one @t70)) (not (tptp.int_leq @t70 @t1)) (= tptp.real_zero (tptp.a (tptp.plus @t70 @t71) @t70)))) % 48.43/48.66 (define @t73 () (and @t72 @t69 @t67)) % 48.43/48.66 (define @t74 () (not @t50)) % 48.43/48.66 (define @t75 () (not @t51)) % 48.43/48.66 (define @t76 () (not @t52)) % 48.43/48.66 (define @t77 () (not @t22)) % 48.43/48.66 (define @t78 () (or @t77 @t76 @t75 @t74 @t73)) % 48.43/48.66 (define @t79 () (@list @t71 @t70 @t68 @t65 @t66)) % 48.43/48.66 (define @t80 () (forall @t79 @t78)) % 48.43/48.66 (define @t81 () (forall (@list @t65 @t66) @t67)) % 48.43/48.66 (define @t82 () (@var "BOUND_VARIABLE_7621" $$unsorted)) % 48.43/48.66 (define @t83 () (forall @t79 @t67)) % 48.43/48.66 (define @t84 () (forall (@list @t68) @t69)) % 48.43/48.66 (define @t85 () (@list @t7)) % 48.43/48.66 (define @t86 () (forall @t79 @t69)) % 48.43/48.66 (define @t87 () (forall (@list @t71 @t70) @t72)) % 48.43/48.66 (define @t88 () (@var "BOUND_VARIABLE_7586" $$unsorted)) % 48.43/48.66 (define @t89 () (forall @t79 @t72)) % 48.43/48.66 (define @t90 () (and @t89 @t86 @t83)) % 48.43/48.66 (define @t91 () (forall @t79 @t73)) % 48.43/48.66 (define @t92 () (or @t77 @t76 @t75 @t74 @t91)) % 48.43/48.66 (define @t93 () (= tptp.real_zero (tptp.a @t82 (tptp.plus @t82 @t23)))) % 48.43/48.66 (define @t94 () (not (tptp.int_leq @t82 @t2))) % 48.43/48.66 (define @t95 () (not (tptp.int_leq tptp.int_one @t82))) % 48.43/48.66 (define @t96 () (not @t31)) % 48.43/48.66 (define @t97 () (not @t32)) % 48.43/48.66 (define @t98 () (or @t97 @t96 @t95 @t94 @t93)) % 48.43/48.66 (define @t99 () (@list @t23 @t82)) % 48.43/48.66 (define @t100 () (= tptp.real_one @t37)) % 48.43/48.66 (define @t101 () (not @t38)) % 48.43/48.66 (define @t102 () (not @t27)) % 48.43/48.66 (define @t103 () (or @t102 @t101 @t100)) % 48.43/48.66 (define @t104 () (= tptp.real_zero (tptp.a (tptp.plus @t88 @t23) @t88))) % 48.43/48.66 (define @t105 () (not (tptp.int_leq @t88 @t1))) % 48.43/48.66 (define @t106 () (not (tptp.int_leq tptp.int_one @t88))) % 48.43/48.66 (define @t107 () (not @t45)) % 48.43/48.66 (define @t108 () (or @t97 @t107 @t106 @t105 @t104)) % 48.43/48.66 (define @t109 () (@list @t23 @t88)) % 48.43/48.66 (define @t110 () (and (forall @t109 @t108) (forall @t18 @t103) (forall @t99 @t98))) % 48.43/48.66 (define @t111 () (or @t77 @t76 @t75 @t74 @t110)) % 48.43/48.66 (define @t112 () (or @t77 @t76 @t75 @t74)) % 48.43/48.66 (define @t113 () (not @t53)) % 48.43/48.66 (define @t114 () (or @t95 @t94 @t93)) % 48.43/48.66 (define @t115 () (or @t97 @t96 @t114)) % 48.43/48.66 (define @t116 () (forall @t99 @t115)) % 48.43/48.66 (define @t117 () (@list @t82)) % 48.43/48.66 (define @t118 () (forall @t117 @t115)) % 48.43/48.66 (define @t119 () (forall @t117 @t114)) % 48.43/48.66 (define @t120 () (or @t97 @t96 @t119)) % 48.43/48.66 (define @t121 () (= tptp.real_zero @t25)) % 48.43/48.66 (define @t122 () (not @t26)) % 48.43/48.66 (define @t123 () (or @t102 @t122 @t121)) % 48.43/48.66 (define @t124 () (forall @t18 @t123)) % 48.43/48.66 (define @t125 () (or @t97 @t96 @t124)) % 48.43/48.66 (define @t126 () (or @t102 @t101)) % 48.43/48.66 (define @t127 () (not @t39)) % 48.43/48.66 (define @t128 () (or @t106 @t105 @t104)) % 48.43/48.66 (define @t129 () (or @t97 @t107 @t128)) % 48.43/48.66 (define @t130 () (forall @t109 @t129)) % 48.43/48.66 (define @t131 () (@list @t88)) % 48.43/48.66 (define @t132 () (forall @t131 @t129)) % 48.43/48.66 (define @t133 () (forall @t131 @t128)) % 48.43/48.66 (define @t134 () (or @t97 @t107 @t133)) % 48.43/48.66 (define @t135 () (= tptp.real_zero @t42)) % 48.43/48.66 (define @t136 () (or @t102 @t101 @t135)) % 48.43/48.66 (define @t137 () (forall @t18 @t136)) % 48.43/48.66 (define @t138 () (or @t97 @t107 @t137)) % 48.43/48.66 (define @t139 () (= tptp.real_zero @t56)) % 48.43/48.66 (define @t140 () (not @t139)) % 48.43/48.66 (define @t141 () (and (or @t3 @t139) (or @t8 @t140))) % 48.43/48.66 (define @t142 () (or @t77 @t76 @t75 @t74 @t141)) % 48.43/48.66 (define @t143 () (forall @t5 @t142)) % 48.43/48.66 (define @t144 () (@quantifiers_skolemize @t143 0)) % 48.43/48.66 (define @t145 () (and (=> @t8 @t139) (=> @t3 @t140))) % 48.43/48.66 (define @t146 () (tptp.int_leq @t144 tptp.n)) % 48.43/48.66 (define @t147 () (@quantifiers_skolemize @t143 1)) % 48.43/48.66 (define @t148 () (= tptp.real_zero (tptp.a @t144 @t147))) % 48.43/48.66 (define @t149 () (not @t148)) % 48.43/48.66 (define @t150 () (= @t144 @t147)) % 48.43/48.66 (define @t151 () (not @t150)) % 48.43/48.66 (define @t152 () (or @t151 @t149)) % 48.43/48.66 (define @t153 () (or @t150 @t148)) % 48.43/48.66 (define @t154 () (and @t153 @t152)) % 48.43/48.66 (define @t155 () (tptp.int_leq @t147 tptp.n)) % 48.43/48.66 (define @t156 () (not @t155)) % 48.43/48.66 (define @t157 () (tptp.int_leq tptp.int_one @t147)) % 48.43/48.66 (define @t158 () (not @t157)) % 48.43/48.66 (define @t159 () (not @t146)) % 48.43/48.66 (define @t160 () (tptp.int_leq tptp.int_one @t144)) % 48.43/48.66 (define @t161 () (not @t160)) % 48.43/48.66 (define @t162 () (or @t161 @t159 @t158 @t156 @t154)) % 48.43/48.66 (define @t163 () (@list true)) % 48.43/48.66 (define @t164 () (@list @t162)) % 48.43/48.66 (define @t165 () (tptp.plus @t144 tptp.int_one)) % 48.43/48.66 (define @t166 () (tptp.int_leq @t144 @t144)) % 48.43/48.66 (define @t167 () (not @t166)) % 48.43/48.66 (define @t168 () (not (= @t144 @t165))) % 48.43/48.66 (define @t169 () (not @t9)) % 48.43/48.66 (define @t170 () (tptp.a @t144 @t144)) % 48.43/48.66 (define @t171 () (= tptp.real_one @t170)) % 48.43/48.66 (define @t172 () (or @t161 @t167 @t171)) % 48.43/48.66 (define @t173 () (and (or @t169 @t168 @t161 @t167 (= tptp.real_zero (tptp.a @t165 @t144))) @t172 (or @t169 @t168 @t161 @t167 (= tptp.real_zero (tptp.a @t144 @t165))))) % 48.43/48.66 (define @t174 () (or @t161 @t159 @t161 @t159 @t173)) % 48.43/48.66 (define @t175 () (@list false false false)) % 48.43/48.66 (define @t176 () (@list false)) % 48.43/48.66 (define @t177 () (tptp.int_less @t144 @t144)) % 48.43/48.66 (define @t178 () (or @t177 (= @t144 @t144))) % 48.43/48.66 (define @t179 () (= @t166 @t178)) % 48.43/48.66 (define @t180 () (@list @t6)) % 48.43/48.66 (define @t181 () (not @t151)) % 48.43/48.66 (define @t182 () (not @t15)) % 48.43/48.66 (define @t183 () (forall @t18 (or (not (= @t147 (tptp.plus @t144 @t7))) @t182))) % 48.43/48.66 (define @t184 () (@quantifiers_skolemize @t183 0)) % 48.43/48.66 (define @t185 () (tptp.plus @t144 @t184)) % 48.43/48.66 (define @t186 () (= @t147 @t185)) % 48.43/48.66 (define @t187 () (tptp.int_less tptp.int_zero @t184)) % 48.43/48.66 (define @t188 () (not @t187)) % 48.43/48.66 (define @t189 () (not @t186)) % 48.43/48.66 (define @t190 () (or @t189 @t188)) % 48.43/48.66 (define @t191 () (tptp.a @t144 @t185)) % 48.43/48.66 (define @t192 () (= tptp.real_zero @t191)) % 48.43/48.66 (define @t193 () (or @t188 @t189 @t161 @t167 @t192)) % 48.43/48.66 (define @t194 () (not (tptp.int_leq tptp.int_one tptp.int_one))) % 48.43/48.66 (define @t195 () (or @t194 @t158 (= tptp.real_one (tptp.a tptp.int_one tptp.int_one)))) % 48.43/48.66 (define @t196 () (tptp.plus tptp.int_one tptp.int_one)) % 48.43/48.66 (define @t197 () (and (or @t169 (not (= @t144 (tptp.plus @t147 tptp.int_one))) @t194 @t158 (= tptp.real_zero (tptp.a @t196 tptp.int_one))) @t195 @t193)) % 48.43/48.66 (define @t198 () (or @t161 @t159 @t158 @t156 @t197)) % 48.43/48.66 (define @t199 () (@list false false false false false)) % 48.43/48.66 (define @t200 () (not @t192)) % 48.43/48.66 (define @t201 () (not @t149)) % 48.43/48.66 (define @t202 () (and @t149 @t186)) % 48.43/48.66 (define @t203 () (@list false false false false false false)) % 48.43/48.66 (define @t204 () (not @t190)) % 48.43/48.66 (define @t205 () (not @t183)) % 48.43/48.66 (define @t206 () (= @t1 @t16)) % 48.43/48.66 (define @t207 () (and @t206 @t15)) % 48.43/48.66 (define @t208 () (forall @t18 (not @t207))) % 48.43/48.66 (define @t209 () (not @t208)) % 48.43/48.66 (define @t210 () (tptp.int_less @t144 @t147)) % 48.43/48.66 (define @t211 () (= @t210 @t205)) % 48.43/48.66 (define @t212 () (not @t210)) % 48.43/48.66 (define @t213 () (not @t162)) % 48.43/48.66 (define @t214 () (not @t143)) % 48.43/48.66 (define @t215 () (forall @t18 (or (not (= @t144 (tptp.plus @t147 @t7))) @t182))) % 48.43/48.66 (define @t216 () (@quantifiers_skolemize @t215 0)) % 48.43/48.66 (define @t217 () (tptp.plus @t147 @t216)) % 48.43/48.66 (define @t218 () (= @t144 @t217)) % 48.43/48.66 (define @t219 () (tptp.int_less tptp.int_zero @t216)) % 48.43/48.66 (define @t220 () (not @t219)) % 48.43/48.66 (define @t221 () (not @t218)) % 48.43/48.66 (define @t222 () (or @t221 @t220)) % 48.43/48.66 (define @t223 () (tptp.int_leq @t147 @t147)) % 48.43/48.66 (define @t224 () (tptp.int_less @t147 @t147)) % 48.43/48.66 (define @t225 () (or @t224 (= @t147 @t147))) % 48.43/48.66 (define @t226 () (= @t223 @t225)) % 48.43/48.66 (define @t227 () (tptp.a @t217 @t147)) % 48.43/48.66 (define @t228 () (= tptp.real_zero @t227)) % 48.43/48.66 (define @t229 () (not @t223)) % 48.43/48.66 (define @t230 () (or @t220 @t221 @t158 @t229 @t228)) % 48.43/48.66 (define @t231 () (and @t230 @t195 (or @t169 (not (= @t147 @t165)) @t194 @t161 (= tptp.real_zero (tptp.a tptp.int_one @t196))))) % 48.43/48.66 (define @t232 () (or @t161 @t159 @t158 @t156 @t231)) % 48.43/48.66 (define @t233 () (not @t228)) % 48.43/48.66 (define @t234 () (and @t149 @t218)) % 48.43/48.66 (define @t235 () (not @t222)) % 48.43/48.66 (define @t236 () (not @t215)) % 48.43/48.66 (define @t237 () (forall @t5 (= @t4 (not (forall @t18 (or (not @t206) @t182)))))) % 48.43/48.66 (define @t238 () (tptp.int_less @t147 @t144)) % 48.43/48.66 (define @t239 () (= @t238 @t236)) % 48.43/48.66 (define @t240 () (not @t238)) % 48.43/48.66 (define @t241 () (@list tptp.int_one @t144)) % 48.43/48.66 (define @t242 () (tptp.plus tptp.int_one @t7)) % 48.43/48.66 (define @t243 () (forall @t18 (or (not (= @t144 @t242)) @t182))) % 48.43/48.66 (define @t244 () (not @t243)) % 48.43/48.66 (define @t245 () (tptp.int_less tptp.int_one @t144)) % 48.43/48.66 (define @t246 () (= @t245 @t244)) % 48.43/48.66 (define @t247 () (not @t245)) % 48.43/48.66 (define @t248 () (@quantifiers_skolemize @t243 0)) % 48.43/48.66 (define @t249 () (tptp.plus tptp.int_one @t248)) % 48.43/48.66 (define @t250 () (= @t144 @t249)) % 48.43/48.66 (define @t251 () (not @t250)) % 48.43/48.66 (define @t252 () (or @t251 (not (tptp.int_less tptp.int_zero @t248)))) % 48.43/48.66 (define @t253 () (not @t252)) % 48.43/48.66 (define @t254 () (forall @t18 (or (not (= @t147 @t242)) @t182))) % 48.43/48.66 (define @t255 () (@quantifiers_skolemize @t254 0)) % 48.43/48.66 (define @t256 () (tptp.plus tptp.int_one @t255)) % 48.43/48.66 (define @t257 () (= @t249 @t256)) % 48.43/48.66 (define @t258 () (not @t257)) % 48.43/48.66 (define @t259 () (= @t147 @t256)) % 48.43/48.66 (define @t260 () (not @t259)) % 48.43/48.66 (define @t261 () (and @t151 @t250 @t259)) % 48.43/48.66 (define @t262 () (tptp.int_less @t249 @t256)) % 48.43/48.66 (define @t263 () (not @t262)) % 48.43/48.66 (define @t264 () (not @t212)) % 48.43/48.66 (define @t265 () (and @t250 @t259 @t212)) % 48.43/48.66 (define @t266 () (tptp.int_less @t256 @t249)) % 48.43/48.66 (define @t267 () (not @t266)) % 48.43/48.66 (define @t268 () (not @t240)) % 48.43/48.66 (define @t269 () (and @t250 @t259 @t240)) % 48.43/48.66 (define @t270 () (or @t262 @t257)) % 48.43/48.66 (define @t271 () (tptp.int_leq @t249 @t256)) % 48.43/48.66 (define @t272 () (or @t266 @t271)) % 48.43/48.66 (define @t273 () (= @t271 @t270)) % 48.43/48.66 (define @t274 () (or @t260 (not (tptp.int_less tptp.int_zero @t255)))) % 48.43/48.66 (define @t275 () (not @t274)) % 48.43/48.66 (define @t276 () (not @t254)) % 48.43/48.66 (define @t277 () (@list tptp.int_one @t147)) % 48.43/48.66 (define @t278 () (tptp.int_less tptp.int_one @t147)) % 48.43/48.66 (define @t279 () (= @t278 @t276)) % 48.43/48.66 (define @t280 () (not @t278)) % 48.43/48.66 (define @t281 () (= tptp.int_one @t147)) % 48.43/48.66 (define @t282 () (or @t278 @t281)) % 48.43/48.66 (define @t283 () (= @t157 @t282)) % 48.43/48.66 (define @t284 () (@list false false)) % 48.43/48.66 (define @t285 () (not @t281)) % 48.43/48.66 (define @t286 () (= tptp.int_one @t144)) % 48.43/48.66 (define @t287 () (or @t245 @t286)) % 48.43/48.66 (define @t288 () (= @t160 @t287)) % 48.43/48.66 (define @t289 () (not @t286)) % 48.43/48.66 (define @t290 () (and @t151 @t286)) % 48.43/48.66 (define @t291 () (and @t286 @t212)) % 48.43/48.66 (define @t292 () (= tptp.real_one tptp.real_zero)) % 48.43/48.66 (define @t293 () (and @t150 @t148 @t171)) % 48.43/48.66 (assume @p1 @t6) % 48.43/48.66 (assume @p2 (forall (@list @t2 @t1 @t7) (=> (and @t4 (tptp.int_less @t1 @t7)) (tptp.int_less @t2 @t7)))) % 48.43/48.66 (assume @p3 (forall @t5 (=> @t4 @t8))) % 48.43/48.66 (assume @p4 (forall @t5 (or @t4 (tptp.int_leq @t1 @t2)))) % 48.43/48.66 (assume @p5 @t9) % 48.43/48.66 (assume @p6 (forall @t5 (= (tptp.plus @t2 @t1) (tptp.plus @t1 @t2)))) % 48.43/48.66 (assume @p7 (forall @t10 (= (tptp.plus @t2 tptp.int_zero) @t2))) % 48.43/48.66 (assume @p8 (forall (@list @t14 @t12 @t13 @t11) (=> (and (tptp.int_less @t14 @t12) (tptp.int_leq @t13 @t11)) (tptp.int_leq (tptp.plus @t14 @t13) (tptp.plus @t12 @t11))))) % 48.43/48.66 (assume @p9 @t21) % 48.43/48.66 (assume @p10 (forall @t10 (= (tptp.int_less tptp.int_zero @t2) @t22))) % 48.43/48.66 (assume @p11 (not (= tptp.real_zero tptp.real_one))) % 48.43/48.66 (assume @p12 @t55) % 48.43/48.66 (assume @p13 @t64) % 48.43/48.66 (assume @p14 true) % 48.43/48.66 (step @p15 :rule symm :premises (@p11)) % 48.43/48.66 (step @p16 :rule quant-merge-prenex :args ((= (forall @t5 @t80) (forall (@list @t2 @t1 @t71 @t70 @t68 @t65 @t66) @t78)))) % 48.43/48.66 (step @p17 :rule alpha_equiv :args (@t81 (@list @t65 @t66) (@list @t23 @t82))) % 48.43/48.66 (step @p18 :rule quant-unused-vars :args ((= @t83 @t81))) % 48.43/48.66 (step @p19 :rule trans :premises (@p18 @p17)) % 48.43/48.66 (step @p20 :rule alpha_equiv :args (@t84 (@list @t68) @t85)) % 48.43/48.66 (step @p21 :rule quant-unused-vars :args ((= @t86 @t84))) % 48.43/48.66 (step @p22 :rule trans :premises (@p21 @p20)) % 48.43/48.66 (step @p23 :rule alpha_equiv :args (@t87 (@list @t71 @t70) (@list @t23 @t88))) % 48.43/48.66 (step @p24 :rule quant-unused-vars :args ((= @t89 @t87))) % 48.43/48.66 (step @p25 :rule trans :premises (@p24 @p23)) % 48.43/48.66 (step @p26 :rule nary_cong :premises (@p25 @p22 @p19) :args (@t90)) % 48.43/48.66 (step @p27 :rule quant-miniscope-and :args ((= @t91 @t90))) % 48.43/48.66 (step @p28 :rule trans :premises (@p27 @p26)) % 48.43/48.66 (step @p29 :rule refl :args (@t74)) % 48.43/48.66 (step @p30 :rule refl :args (@t75)) % 48.43/48.66 (step @p31 :rule refl :args (@t76)) % 48.43/48.66 (step @p32 :rule refl :args (@t77)) % 48.43/48.66 (step @p33 :rule nary_cong :premises (@p32 @p31 @p30 @p29 @p28) :args (@t92)) % 48.43/48.66 (step @p34 :rule quant-miniscope-or :args ((= @t80 @t92))) % 48.43/48.66 (step @p35 :rule trans :premises (@p34 @p33)) % 48.43/48.66 (step @p36 :rule symm :premises (@p35)) % 48.43/48.66 (step @p37 :rule cong :premises (@p36) :args ((forall @t5 @t111))) % 48.43/48.66 (step @p38 :rule trans :premises (@p37 @p16)) % 48.43/48.66 (step @p39 :rule aci_norm :args ((= (or @t112 @t110) @t111))) % 48.43/48.66 (step @p40 :rule refl :args (@t110)) % 48.43/48.66 (step @p41 :rule aci_norm :args ((= (or @t77 (or @t76 (or @t75 @t74))) @t112))) % 48.43/48.66 (step @p42 :rule bool-and-de-morgan :args (@t51 @t50 true)) % 48.43/48.66 (step @p43 :rule nary_cong :premises (@p31 @p42) :args ((or @t76 (not (and @t51 @t50))))) % 48.43/48.66 (step @p44 :rule bool-and-de-morgan :args (@t52 @t51 (and @t50))) % 48.43/48.66 (step @p45 :rule trans :premises (@p44 @p43)) % 48.43/48.66 (step @p46 :rule nary_cong :premises (@p32 @p45) :args ((or @t77 (not (and @t52 @t51 @t50))))) % 48.43/48.66 (step @p47 :rule bool-and-de-morgan :args (@t22 @t52 (and @t51 @t50))) % 48.43/48.66 (step @p48 :rule trans :premises (@p47 @p46)) % 48.43/48.66 (step @p49 :rule trans :premises (@p48 @p41)) % 48.43/48.66 (step @p50 :rule nary_cong :premises (@p49 @p40) :args ((or @t113 @t110))) % 48.43/48.66 (step @p51 :rule trans :premises (@p50 @p39)) % 48.43/48.66 (step @p52 :rule bool-impl-elim :args (@t53 @t110)) % 48.43/48.66 (step @p53 :rule trans :premises (@p52 @p51)) % 48.43/48.66 (step @p54 :rule cong :premises (@p53) :args ((forall @t5 (=> @t53 @t110)))) % 48.43/48.66 (step @p55 :rule trans :premises (@p54 @p38)) % 48.43/48.66 (step @p56 :rule aci_norm :args ((= @t115 @t98))) % 48.43/48.66 (step @p57 :rule cong :premises (@p56) :args (@t116)) % 48.43/48.66 (step @p58 :rule quant-merge-prenex :args ((= (forall @t35 @t118) @t116))) % 48.43/48.66 (step @p59 :rule alpha_equiv :args (@t119 (@list @t82) @t85)) % 48.43/48.66 (step @p60 :rule refl :args (@t96)) % 48.43/48.66 (step @p61 :rule refl :args (@t97)) % 48.43/48.66 (step @p62 :rule nary_cong :premises (@p61 @p60 @p59) :args (@t120)) % 48.43/48.66 (step @p63 :rule quant-miniscope-or :args ((= @t118 @t120))) % 48.43/48.66 (step @p64 :rule trans :premises (@p63 @p62)) % 48.43/48.66 (step @p65 :rule symm :premises (@p64)) % 48.43/48.66 (step @p66 :rule cong :premises (@p65) :args ((forall @t35 @t125))) % 48.43/48.66 (step @p67 :rule trans :premises (@p66 @p58)) % 48.43/48.66 (step @p68 :rule trans :premises (@p67 @p57)) % 48.43/48.66 (step @p69 :rule aci_norm :args ((= (or (or @t97 @t96) @t124) @t125))) % 48.43/48.66 (step @p70 :rule refl :args (@t124)) % 48.43/48.66 (step @p71 :rule bool-and-de-morgan :args (@t32 @t31 true)) % 48.43/48.66 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or (not @t33) @t124))) % 48.43/48.66 (step @p73 :rule trans :premises (@p72 @p69)) % 48.43/48.66 (step @p74 :rule bool-impl-elim :args (@t33 @t124)) % 48.43/48.66 (step @p75 :rule trans :premises (@p74 @p73)) % 48.43/48.66 (step @p76 :rule cong :premises (@p75) :args ((forall @t35 (=> @t33 @t124)))) % 48.43/48.66 (step @p77 :rule trans :premises (@p76 @p68)) % 48.43/48.66 (step @p78 :rule aci_norm :args ((= (or (or @t102 @t122) @t121) @t123))) % 48.43/48.66 (step @p79 :rule refl :args (@t121)) % 48.43/48.66 (step @p80 :rule bool-and-de-morgan :args (@t27 @t26 true)) % 48.43/48.66 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or (not @t28) @t121))) % 48.43/48.66 (step @p82 :rule trans :premises (@p81 @p78)) % 48.43/48.66 (step @p83 :rule bool-impl-elim :args (@t28 @t121)) % 48.43/48.66 (step @p84 :rule trans :premises (@p83 @p82)) % 48.43/48.66 (step @p85 :rule cong :premises (@p84) :args ((forall @t18 (=> @t28 @t121)))) % 48.43/48.66 (step @p86 :rule eq-symm :args (@t25 tptp.real_zero)) % 48.43/48.66 (step @p87 :rule refl :args (@t28)) % 48.43/48.66 (step @p88 :rule cong :premises (@p87 @p86) :args (@t29)) % 48.43/48.66 (step @p89 :rule cong :premises (@p88) :args (@t30)) % 48.43/48.66 (step @p90 :rule trans :premises (@p89 @p85)) % 48.43/48.66 (step @p91 :rule refl :args (@t33)) % 48.43/48.66 (step @p92 :rule cong :premises (@p91 @p90) :args (@t34)) % 48.43/48.66 (step @p93 :rule cong :premises (@p92) :args (@t36)) % 48.43/48.66 (step @p94 :rule trans :premises (@p93 @p77)) % 48.43/48.66 (step @p95 :rule aci_norm :args ((= (or @t126 @t100) @t103))) % 48.43/48.66 (step @p96 :rule refl :args (@t100)) % 48.43/48.66 (step @p97 :rule bool-and-de-morgan :args (@t27 @t38 true)) % 48.43/48.66 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t127 @t100))) % 48.43/48.66 (step @p99 :rule trans :premises (@p98 @p95)) % 48.43/48.66 (step @p100 :rule bool-impl-elim :args (@t39 @t100)) % 48.43/48.66 (step @p101 :rule trans :premises (@p100 @p99)) % 48.43/48.66 (step @p102 :rule cong :premises (@p101) :args ((forall @t18 (=> @t39 @t100)))) % 48.43/48.66 (step @p103 :rule eq-symm :args (@t37 tptp.real_one)) % 48.43/48.66 (step @p104 :rule refl :args (@t39)) % 48.43/48.66 (step @p105 :rule cong :premises (@p104 @p103) :args (@t40)) % 48.43/48.66 (step @p106 :rule cong :premises (@p105) :args (@t41)) % 48.43/48.66 (step @p107 :rule trans :premises (@p106 @p102)) % 48.43/48.66 (step @p108 :rule aci_norm :args ((= @t129 @t108))) % 48.43/48.66 (step @p109 :rule cong :premises (@p108) :args (@t130)) % 48.43/48.66 (step @p110 :rule quant-merge-prenex :args ((= (forall @t35 @t132) @t130))) % 48.43/48.66 (step @p111 :rule alpha_equiv :args (@t133 (@list @t88) @t85)) % 48.43/48.66 (step @p112 :rule refl :args (@t107)) % 48.43/48.66 (step @p113 :rule nary_cong :premises (@p61 @p112 @p111) :args (@t134)) % 48.43/48.66 (step @p114 :rule quant-miniscope-or :args ((= @t132 @t134))) % 48.43/48.66 (step @p115 :rule trans :premises (@p114 @p113)) % 48.43/48.66 (step @p116 :rule symm :premises (@p115)) % 48.43/48.66 (step @p117 :rule cong :premises (@p116) :args ((forall @t35 @t138))) % 48.43/48.66 (step @p118 :rule trans :premises (@p117 @p110)) % 48.43/48.66 (step @p119 :rule trans :premises (@p118 @p109)) % 48.43/48.66 (step @p120 :rule aci_norm :args ((= (or (or @t97 @t107) @t137) @t138))) % 48.43/48.66 (step @p121 :rule refl :args (@t137)) % 48.43/48.66 (step @p122 :rule bool-and-de-morgan :args (@t32 @t45 true)) % 48.43/48.66 (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((or (not @t46) @t137))) % 48.43/48.66 (step @p124 :rule trans :premises (@p123 @p120)) % 48.43/48.66 (step @p125 :rule bool-impl-elim :args (@t46 @t137)) % 48.43/48.66 (step @p126 :rule trans :premises (@p125 @p124)) % 48.43/48.66 (step @p127 :rule cong :premises (@p126) :args ((forall @t35 (=> @t46 @t137)))) % 48.43/48.66 (step @p128 :rule trans :premises (@p127 @p119)) % 48.43/48.66 (step @p129 :rule aci_norm :args ((= (or @t126 @t135) @t136))) % 48.43/48.66 (step @p130 :rule refl :args (@t135)) % 48.43/48.66 (step @p131 :rule nary_cong :premises (@p97 @p130) :args ((or @t127 @t135))) % 48.43/48.66 (step @p132 :rule trans :premises (@p131 @p129)) % 48.43/48.66 (step @p133 :rule bool-impl-elim :args (@t39 @t135)) % 48.43/48.66 (step @p134 :rule trans :premises (@p133 @p132)) % 48.43/48.66 (step @p135 :rule cong :premises (@p134) :args ((forall @t18 (=> @t39 @t135)))) % 48.43/48.66 (step @p136 :rule eq-symm :args (@t42 tptp.real_zero)) % 48.43/48.66 (step @p137 :rule cong :premises (@p104 @p136) :args (@t43)) % 48.43/48.66 (step @p138 :rule cong :premises (@p137) :args (@t44)) % 48.43/48.66 (step @p139 :rule trans :premises (@p138 @p135)) % 48.43/48.66 (step @p140 :rule refl :args (@t46)) % 48.43/48.66 (step @p141 :rule cong :premises (@p140 @p139) :args (@t47)) % 48.43/48.66 (step @p142 :rule cong :premises (@p141) :args (@t48)) % 48.43/48.66 (step @p143 :rule trans :premises (@p142 @p128)) % 48.43/48.66 (step @p144 :rule nary_cong :premises (@p143 @p107 @p94) :args (@t49)) % 48.43/48.66 (step @p145 :rule refl :args (@t53)) % 48.43/48.66 (step @p146 :rule cong :premises (@p145 @p144) :args (@t54)) % 48.43/48.66 (step @p147 :rule cong :premises (@p146) :args (@t55)) % 48.43/48.66 (step @p148 :rule trans :premises (@p147 @p55)) % 48.43/48.66 (step @p149 :rule eq_resolve :premises (@p12 @p148)) % 48.43/48.66 (step @p150 :rule instantiate :premises (@p149) :args ((@list @t144 @t144 tptp.int_one @t144 @t144 tptp.int_one @t144))) % 48.43/48.66 (step @p151 :rule aci_norm :args ((= (or @t112 @t141) @t142))) % 48.43/48.66 (step @p152 :rule bool-impl-elim :args (@t3 @t140)) % 48.43/48.66 (step @p153 :rule refl :args (@t139)) % 48.43/48.66 (step @p154 :rule bool-double-not-elim :args (@t3)) % 48.43/48.66 (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((or (not @t8) @t139))) % 48.43/48.66 (step @p156 :rule bool-impl-elim :args (@t8 @t139)) % 48.43/48.66 (step @p157 :rule trans :premises (@p156 @p155)) % 48.43/48.66 (step @p158 :rule nary_cong :premises (@p157 @p152) :args (@t145)) % 48.43/48.66 (step @p159 :rule nary_cong :premises (@p49 @p158) :args ((or @t113 @t145))) % 48.43/48.66 (step @p160 :rule trans :premises (@p159 @p151)) % 48.43/48.66 (step @p161 :rule bool-impl-elim :args (@t53 @t145)) % 48.43/48.66 (step @p162 :rule trans :premises (@p161 @p160)) % 48.43/48.66 (step @p163 :rule cong :premises (@p162) :args ((forall @t5 (=> @t53 @t145)))) % 48.43/48.66 (step @p164 :rule eq-symm :args (@t56 tptp.real_zero)) % 48.43/48.66 (step @p165 :rule cong :premises (@p164) :args (@t58)) % 48.43/48.66 (step @p166 :rule refl :args (@t3)) % 48.43/48.66 (step @p167 :rule cong :premises (@p166 @p165) :args (@t59)) % 48.43/48.66 (step @p168 :rule refl :args (@t8)) % 48.43/48.66 (step @p169 :rule cong :premises (@p168 @p164) :args (@t60)) % 48.43/48.66 (step @p170 :rule nary_cong :premises (@p169 @p167) :args (@t61)) % 48.43/48.66 (step @p171 :rule cong :premises (@p145 @p170) :args (@t62)) % 48.43/48.66 (step @p172 :rule cong :premises (@p171) :args (@t63)) % 48.43/48.66 (step @p173 :rule trans :premises (@p172 @p163)) % 48.43/48.66 (step @p174 :rule cong :premises (@p173) :args (@t64)) % 48.43/48.66 (step @p175 :rule eq_resolve :premises (@p13 @p174)) % 48.43/48.66 (step @p176 :rule skolemize :premises (@p175)) % 48.43/48.66 (step @p177 :rule bool-double-not-elim :args (@t146)) % 48.43/48.66 (step @p178 :rule refl :args (@t162)) % 48.43/48.66 (step @p179 :rule nary_cong :premises (@p178 @p177) :args ((or @t162 (not @t159)))) % 48.43/48.66 (step @p180 :rule cnf_or_neg :args (@t162 1)) % 48.43/48.66 (step @p181 :rule eq_resolve :premises (@p180 @p179)) % 48.43/48.66 (step @p182 :rule reordering :premises (@p181) :args ((or @t146 @t162))) % 48.43/48.66 (step @p183 :rule chain_m_resolution :premises (@p182 @p176) :args (@t146 @t163 @t164)) % 48.43/48.66 (step @p184 :rule bool-double-not-elim :args (@t160)) % 48.43/48.66 (step @p185 :rule nary_cong :premises (@p178 @p184) :args ((or @t162 (not @t161)))) % 48.43/48.66 (step @p186 :rule cnf_or_neg :args (@t162 0)) % 48.43/48.66 (step @p187 :rule eq_resolve :premises (@p186 @p185)) % 48.43/48.66 (step @p188 :rule reordering :premises (@p187) :args ((or @t160 @t162))) % 48.43/48.66 (step @p189 :rule chain_m_resolution :premises (@p188 @p176) :args (@t160 @t163 @t164)) % 48.43/48.66 (step @p190 :rule cnf_or_pos :args (@t174)) % 48.43/48.66 (step @p191 :rule factoring :premises (@p190)) % 48.43/48.66 (step @p192 :rule reordering :premises (@p191) :args ((or @t161 @t159 @t173 (not @t174)))) % 48.43/48.66 (step @p193 :rule chain_m_resolution :premises (@p192 @p189 @p183 @p150) :args (@t173 @t175 (@list @t160 @t146 @t174))) % 48.43/48.66 (step @p194 :rule cnf_and_pos :args (@t173 1)) % 48.43/48.66 (step @p195 :rule reordering :premises (@p194) :args ((or @t172 (not @t173)))) % 48.43/48.66 (step @p196 :rule chain_m_resolution :premises (@p195 @p193) :args (@t172 @t176 (@list @t173))) % 48.43/48.66 (step @p197 :rule bool-eq-true :args (@t166)) % 48.43/48.66 (step @p198 :rule absorb :args ((= (or @t177 true) true))) % 48.43/48.66 (step @p199 :rule eq-refl :args (@t144)) % 48.43/48.66 (step @p200 :rule refl :args (@t177)) % 48.43/48.66 (step @p201 :rule nary_cong :premises (@p200 @p199) :args (@t178)) % 48.43/48.66 (step @p202 :rule trans :premises (@p201 @p198)) % 48.43/48.66 (step @p203 :rule refl :args (@t166)) % 48.43/48.66 (step @p204 :rule cong :premises (@p203 @p202) :args (@t179)) % 48.43/48.66 (step @p205 :rule trans :premises (@p204 @p197)) % 48.43/48.66 (step @p206 :rule refl :args (@t6)) % 48.43/48.66 (step @p207 :rule cong :premises (@p206 @p205) :args ((=> @t6 @t179))) % 48.43/48.66 (assume-push @p651 @t6) % 48.43/48.66 (step @p209 :rule instantiate :premises (@p1) :args ((@list @t144 @t144))) % 48.43/48.66 (step-pop @p652 :rule scope :premises (@p209)) % 48.43/48.66 (step @p210 :rule process_scope :premises (@p652) :args (@t179)) % 48.43/48.66 (step @p212 :rule eq_resolve :premises (@p210 @p207)) % 48.43/48.66 (step @p213 :rule implies_elim :premises (@p212)) % 48.43/48.66 (step @p214 :rule chain_m_resolution :premises (@p213 @p1) :args (@t166 @t176 @t180)) % 48.43/48.66 (step @p215 :rule cnf_or_pos :args (@t172)) % 48.43/48.66 (step @p216 :rule reordering :premises (@p215) :args ((or @t161 @t167 @t171 (not @t172)))) % 48.43/48.66 (step @p217 :rule chain_m_resolution :premises (@p216 @p189 @p214 @p196) :args (@t171 @t175 (@list @t160 @t166 @t172))) % 48.43/48.66 (step @p218 :rule bool-double-not-elim :args (@t150)) % 48.43/48.66 (step @p219 :rule refl :args (@t152)) % 48.43/48.66 (step @p220 :rule nary_cong :premises (@p219 @p218) :args ((or @t152 @t181))) % 48.43/48.66 (step @p221 :rule cnf_or_neg :args (@t152 0)) % 48.43/48.66 (step @p222 :rule eq_resolve :premises (@p221 @p220)) % 48.43/48.66 (step @p223 :rule reordering :premises (@p222) :args ((or @t150 @t152))) % 48.43/48.66 (step @p224 :rule cnf_or_neg :args (@t162 4)) % 48.43/48.66 (step @p225 :rule chain_m_resolution :premises (@p224 @p176) :args ((not @t154) @t163 @t164)) % 48.43/48.66 (step @p226 :rule cnf_and_neg :args (@t154)) % 48.43/48.66 (step @p227 :rule cnf_or_neg :args (@t153 1)) % 48.43/48.66 (step @p228 :rule bool-double-not-elim :args (@t186)) % 48.43/48.66 (step @p229 :rule refl :args (@t190)) % 48.43/48.66 (step @p230 :rule nary_cong :premises (@p229 @p228) :args ((or @t190 (not @t189)))) % 48.43/48.66 (step @p231 :rule cnf_or_neg :args (@t190 0)) % 48.43/48.66 (step @p232 :rule eq_resolve :premises (@p231 @p230)) % 48.43/48.66 (step @p233 :rule reordering :premises (@p232) :args ((or @t186 @t190))) % 48.43/48.66 (step @p234 :rule bool-double-not-elim :args (@t187)) % 48.43/48.66 (step @p235 :rule nary_cong :premises (@p229 @p234) :args ((or @t190 (not @t188)))) % 48.43/48.66 (step @p236 :rule cnf_or_neg :args (@t190 1)) % 48.43/48.66 (step @p237 :rule eq_resolve :premises (@p236 @p235)) % 48.43/48.66 (step @p238 :rule reordering :premises (@p237) :args ((or @t187 @t190))) % 48.43/48.66 (step @p239 :rule instantiate :premises (@p149) :args ((@list @t144 @t147 tptp.int_one tptp.int_one tptp.int_one @t184 @t144))) % 48.43/48.66 (step @p240 :rule bool-double-not-elim :args (@t155)) % 48.43/48.66 (step @p241 :rule nary_cong :premises (@p178 @p240) :args ((or @t162 (not @t156)))) % 48.43/48.66 (step @p242 :rule cnf_or_neg :args (@t162 3)) % 48.43/48.66 (step @p243 :rule eq_resolve :premises (@p242 @p241)) % 48.43/48.66 (step @p244 :rule reordering :premises (@p243) :args ((or @t155 @t162))) % 48.43/48.66 (step @p245 :rule chain_m_resolution :premises (@p244 @p176) :args (@t155 @t163 @t164)) % 48.43/48.66 (step @p246 :rule bool-double-not-elim :args (@t157)) % 48.43/48.66 (step @p247 :rule nary_cong :premises (@p178 @p246) :args ((or @t162 (not @t158)))) % 48.43/48.66 (step @p248 :rule cnf_or_neg :args (@t162 2)) % 48.43/48.66 (step @p249 :rule eq_resolve :premises (@p248 @p247)) % 48.43/48.66 (step @p250 :rule reordering :premises (@p249) :args ((or @t157 @t162))) % 48.43/48.66 (step @p251 :rule chain_m_resolution :premises (@p250 @p176) :args (@t157 @t163 @t164)) % 48.43/48.66 (step @p252 :rule cnf_or_pos :args (@t198)) % 48.43/48.66 (step @p253 :rule reordering :premises (@p252) :args ((or @t161 @t159 @t158 @t156 @t197 (not @t198)))) % 48.43/48.66 (step @p254 :rule chain_m_resolution :premises (@p253 @p189 @p183 @p251 @p245 @p239) :args (@t197 @t199 (@list @t160 @t146 @t157 @t155 @t198))) % 48.43/48.66 (step @p255 :rule cnf_and_pos :args (@t197 2)) % 48.43/48.66 (step @p256 :rule reordering :premises (@p255) :args ((or @t193 (not @t197)))) % 48.43/48.66 (step @p257 :rule chain_m_resolution :premises (@p256 @p254) :args (@t193 @t176 (@list @t197))) % 48.43/48.66 (step @p258 :rule cnf_or_pos :args (@t193)) % 48.43/48.66 (step @p259 :rule reordering :premises (@p258) :args ((or @t161 @t167 @t189 @t188 @t192 (not @t193)))) % 48.43/48.66 (step @p260 :rule refl :args (@t200)) % 48.43/48.66 (step @p261 :rule refl :args (@t189)) % 48.43/48.66 (step @p262 :rule bool-double-not-elim :args (@t148)) % 48.43/48.66 (step @p263 :rule nary_cong :premises (@p262 @p261 @p260) :args ((or @t201 @t189 @t200))) % 48.43/48.66 (assume-push @p653 @t149) % 48.43/48.66 (assume-push @p654 @t186) % 48.43/48.66 (assume-push @p655 @t149) % 48.43/48.66 (assume-push @p656 @t186) % 48.43/48.66 (step @p268 :rule false_intro :premises (@p653)) % 48.43/48.66 (step @p269 :rule symm :premises (@p654)) % 48.43/48.66 (step @p270 :rule refl :args (@t144)) % 48.43/48.66 (step @p271 :rule cong :premises (@p270 @p269) :args (@t191)) % 48.43/48.66 (step @p272 :rule refl :args (tptp.real_zero)) % 48.43/48.66 (step @p273 :rule cong :premises (@p272 @p271) :args (@t192)) % 48.43/48.66 (step @p274 :rule trans :premises (@p273 @p268)) % 48.43/48.66 (step @p275 :rule false_elim :premises (@p274)) % 48.43/48.66 (step-pop @p657 :rule scope :premises (@p275)) % 48.43/48.66 (step-pop @p658 :rule scope :premises (@p657)) % 48.43/48.66 (step @p276 :rule process_scope :premises (@p658) :args (@t200)) % 48.43/48.66 (step @p279 :rule and_intro :premises (@p653 @p654)) % 48.43/48.66 (step @p280 :rule modus_ponens :premises (@p279 @p276)) % 48.43/48.66 (step-pop @p659 :rule scope :premises (@p280)) % 48.43/48.66 (step-pop @p660 :rule scope :premises (@p659)) % 48.43/48.66 (step @p281 :rule process_scope :premises (@p660) :args (@t200)) % 48.43/48.66 (step @p284 :rule implies_elim :premises (@p281)) % 48.43/48.66 (step @p285 :rule cnf_and_neg :args (@t202)) % 48.43/48.66 (step @p286 :rule resolution :premises (@p285 @p284) :args (true @t202)) % 48.43/48.66 (step @p287 :rule eq_resolve :premises (@p286 @p263)) % 48.43/48.66 (step @p288 :rule chain_m_resolution :premises (@p287 @p259 @p257 @p214 @p189 @p238 @p233) :args ((or @t148 @t190) @t203 (@list @t192 @t193 @t166 @t160 @t187 @t186))) % 48.43/48.66 (step @p289 :rule refl :args (@t204)) % 48.43/48.66 (step @p290 :rule bool-double-not-elim :args (@t183)) % 48.43/48.66 (step @p291 :rule nary_cong :premises (@p290 @p289) :args ((or (not @t205) @t204))) % 48.43/48.66 (assume-push @p661 @t205) % 48.43/48.66 (step @p293 :rule skolemize :premises (@p661)) % 48.43/48.66 (step-pop @p662 :rule scope :premises (@p293)) % 48.43/48.66 (step @p294 :rule process_scope :premises (@p662) :args (@t204)) % 48.43/48.66 (step @p296 :rule implies_elim :premises (@p294)) % 48.43/48.66 (step @p297 :rule eq_resolve :premises (@p296 @p291)) % 48.43/48.66 (step @p298 :rule bool-and-de-morgan :args (@t206 @t15 true)) % 48.43/48.66 (step @p299 :rule cong :premises (@p298) :args (@t208)) % 48.43/48.66 (step @p300 :rule cong :premises (@p299) :args (@t209)) % 48.43/48.66 (step @p301 :rule exists-elim :args ((= (exists @t18 @t207) @t209))) % 48.43/48.66 (step @p302 :rule trans :premises (@p301 @p300)) % 48.43/48.66 (step @p303 :rule refl :args (@t15)) % 48.43/48.66 (step @p304 :rule eq-symm :args (@t16 @t1)) % 48.43/48.66 (step @p305 :rule nary_cong :premises (@p304 @p303) :args (@t17)) % 48.43/48.66 (step @p306 :rule cong :premises (@p305) :args (@t19)) % 48.43/48.66 (step @p307 :rule trans :premises (@p306 @p302)) % 48.43/48.66 (step @p308 :rule refl :args (@t4)) % 48.43/48.66 (step @p309 :rule cong :premises (@p308 @p307) :args (@t20)) % 48.43/48.66 (step @p310 :rule cong :premises (@p309) :args (@t21)) % 48.43/48.66 (step @p311 :rule eq_resolve :premises (@p9 @p310)) % 48.43/48.66 (step @p312 :rule instantiate :premises (@p311) :args ((@list @t144 @t147))) % 48.43/48.66 (step @p313 :rule cnf_equiv_pos1 :args (@t211)) % 48.43/48.66 (step @p314 :rule reordering :premises (@p313) :args ((or @t212 @t205 (not @t211)))) % 48.43/48.66 (step @p315 :rule refl :args (@t213)) % 48.43/48.66 (step @p316 :rule bool-double-not-elim :args (@t143)) % 48.43/48.66 (step @p317 :rule nary_cong :premises (@p316 @p315) :args ((or (not @t214) @t213))) % 48.43/48.66 (assume-push @p663 @t214) % 48.43/48.66 (step-pop @p664 :rule scope :premises (@p176)) % 48.43/48.66 (step @p319 :rule process_scope :premises (@p664) :args (@t213)) % 48.43/48.66 (step @p321 :rule implies_elim :premises (@p319)) % 48.43/48.66 (step @p322 :rule eq_resolve :premises (@p321 @p317)) % 48.43/48.66 (step @p323 :rule bool-double-not-elim :args (@t218)) % 48.43/48.66 (step @p324 :rule refl :args (@t222)) % 48.43/48.66 (step @p325 :rule nary_cong :premises (@p324 @p323) :args ((or @t222 (not @t221)))) % 48.43/48.66 (step @p326 :rule cnf_or_neg :args (@t222 0)) % 48.43/48.66 (step @p327 :rule eq_resolve :premises (@p326 @p325)) % 48.43/48.66 (step @p328 :rule reordering :premises (@p327) :args ((or @t218 @t222))) % 48.43/48.66 (step @p329 :rule bool-double-not-elim :args (@t219)) % 48.43/48.66 (step @p330 :rule nary_cong :premises (@p324 @p329) :args ((or @t222 (not @t220)))) % 48.43/48.66 (step @p331 :rule cnf_or_neg :args (@t222 1)) % 48.43/48.66 (step @p332 :rule eq_resolve :premises (@p331 @p330)) % 48.43/48.66 (step @p333 :rule reordering :premises (@p332) :args ((or @t219 @t222))) % 48.43/48.66 (step @p334 :rule bool-eq-true :args (@t223)) % 48.43/48.66 (step @p335 :rule absorb :args ((= (or @t224 true) true))) % 48.43/48.66 (step @p336 :rule eq-refl :args (@t147)) % 48.43/48.66 (step @p337 :rule refl :args (@t224)) % 48.43/48.66 (step @p338 :rule nary_cong :premises (@p337 @p336) :args (@t225)) % 48.43/48.66 (step @p339 :rule trans :premises (@p338 @p335)) % 48.43/48.66 (step @p340 :rule refl :args (@t223)) % 48.43/48.66 (step @p341 :rule cong :premises (@p340 @p339) :args (@t226)) % 48.43/48.66 (step @p342 :rule trans :premises (@p341 @p334)) % 48.43/48.66 (step @p343 :rule cong :premises (@p206 @p342) :args ((=> @t6 @t226))) % 48.43/48.66 (assume-push @p665 @t6) % 48.43/48.66 (step @p345 :rule instantiate :premises (@p1) :args ((@list @t147 @t147))) % 48.43/48.66 (step-pop @p666 :rule scope :premises (@p345)) % 48.43/48.66 (step @p346 :rule process_scope :premises (@p666) :args (@t226)) % 48.43/48.66 (step @p348 :rule eq_resolve :premises (@p346 @p343)) % 48.43/48.66 (step @p349 :rule implies_elim :premises (@p348)) % 48.43/48.66 (step @p350 :rule chain_m_resolution :premises (@p349 @p1) :args (@t223 @t176 @t180)) % 48.43/48.66 (step @p351 :rule instantiate :premises (@p149) :args ((@list @t144 @t147 @t216 @t147 tptp.int_one tptp.int_one tptp.int_one))) % 48.43/48.66 (step @p352 :rule cnf_or_pos :args (@t232)) % 48.43/48.66 (step @p353 :rule reordering :premises (@p352) :args ((or @t161 @t159 @t158 @t156 @t231 (not @t232)))) % 48.43/48.66 (step @p354 :rule chain_m_resolution :premises (@p353 @p189 @p183 @p251 @p245 @p351) :args (@t231 @t199 (@list @t160 @t146 @t157 @t155 @t232))) % 48.43/48.66 (step @p355 :rule cnf_and_pos :args (@t231 0)) % 48.43/48.66 (step @p356 :rule reordering :premises (@p355) :args ((or @t230 (not @t231)))) % 48.43/48.66 (step @p357 :rule chain_m_resolution :premises (@p356 @p354) :args (@t230 @t176 (@list @t231))) % 48.43/48.66 (step @p358 :rule cnf_or_pos :args (@t230)) % 48.43/48.66 (step @p359 :rule reordering :premises (@p358) :args ((or @t158 @t229 @t221 @t220 @t228 (not @t230)))) % 48.43/48.66 (step @p360 :rule refl :args (@t233)) % 48.43/48.66 (step @p361 :rule refl :args (@t221)) % 48.43/48.66 (step @p362 :rule nary_cong :premises (@p262 @p361 @p360) :args ((or @t201 @t221 @t233))) % 48.43/48.66 (assume-push @p667 @t149) % 48.43/48.66 (assume-push @p668 @t218) % 48.43/48.66 (assume-push @p669 @t149) % 48.43/48.66 (assume-push @p670 @t218) % 48.43/48.66 (step @p367 :rule false_intro :premises (@p667)) % 48.43/48.66 (step @p368 :rule refl :args (@t147)) % 48.43/48.66 (step @p369 :rule symm :premises (@p668)) % 48.43/48.66 (step @p370 :rule cong :premises (@p369 @p368) :args (@t227)) % 48.43/48.66 (step @p272 :rule refl :args (tptp.real_zero)) % 48.43/48.66 (step @p371 :rule cong :premises (@p272 @p370) :args (@t228)) % 48.43/48.66 (step @p372 :rule trans :premises (@p371 @p367)) % 48.43/48.66 (step @p373 :rule false_elim :premises (@p372)) % 48.43/48.66 (step-pop @p671 :rule scope :premises (@p373)) % 48.43/48.66 (step-pop @p672 :rule scope :premises (@p671)) % 48.43/48.66 (step @p374 :rule process_scope :premises (@p672) :args (@t233)) % 48.43/48.66 (step @p377 :rule and_intro :premises (@p667 @p668)) % 48.43/48.66 (step @p378 :rule modus_ponens :premises (@p377 @p374)) % 48.43/48.66 (step-pop @p673 :rule scope :premises (@p378)) % 48.43/48.66 (step-pop @p674 :rule scope :premises (@p673)) % 48.43/48.66 (step @p379 :rule process_scope :premises (@p674) :args (@t233)) % 48.43/48.66 (step @p382 :rule implies_elim :premises (@p379)) % 48.43/48.66 (step @p383 :rule cnf_and_neg :args (@t234)) % 48.43/48.66 (step @p384 :rule resolution :premises (@p383 @p382) :args (true @t234)) % 48.43/48.66 (step @p385 :rule eq_resolve :premises (@p384 @p362)) % 48.43/48.66 (step @p386 :rule chain_m_resolution :premises (@p385 @p359 @p357 @p350 @p251 @p333 @p328) :args ((or @t148 @t222) @t203 (@list @t228 @t230 @t223 @t157 @t219 @t218))) % 48.43/48.66 (step @p387 :rule refl :args (@t235)) % 48.43/48.66 (step @p388 :rule bool-double-not-elim :args (@t215)) % 48.43/48.66 (step @p389 :rule nary_cong :premises (@p388 @p387) :args ((or (not @t236) @t235))) % 48.43/48.66 (assume-push @p675 @t236) % 48.43/48.66 (step @p391 :rule skolemize :premises (@p675)) % 48.43/48.66 (step-pop @p676 :rule scope :premises (@p391)) % 48.43/48.66 (step @p392 :rule process_scope :premises (@p676) :args (@t235)) % 48.43/48.66 (step @p394 :rule implies_elim :premises (@p392)) % 48.43/48.66 (step @p395 :rule eq_resolve :premises (@p394 @p389)) % 48.43/48.66 (assume-push @p677 @t237) % 48.43/48.66 (step @p397 :rule instantiate :premises (@p311) :args ((@list @t147 @t144))) % 48.43/48.66 (step-pop @p678 :rule scope :premises (@p397)) % 48.43/48.66 (step @p398 :rule process_scope :premises (@p678) :args (@t239)) % 48.43/48.66 (step @p400 :rule implies_elim :premises (@p398)) % 48.43/48.66 (step @p401 :rule cnf_equiv_pos1 :args (@t239)) % 48.43/48.66 (step @p402 :rule reordering :premises (@p401) :args ((or @t240 @t236 (not @t239)))) % 48.43/48.66 (step @p403 :rule instantiate :premises (@p311) :args (@t241)) % 48.43/48.66 (step @p404 :rule cnf_equiv_pos1 :args (@t246)) % 48.43/48.66 (step @p405 :rule reordering :premises (@p404) :args ((or @t247 @t244 (not @t246)))) % 48.43/48.66 (step @p406 :rule refl :args (@t253)) % 48.43/48.66 (step @p407 :rule bool-double-not-elim :args (@t243)) % 48.43/48.66 (step @p408 :rule nary_cong :premises (@p407 @p406) :args ((or (not @t244) @t253))) % 48.43/48.66 (assume-push @p679 @t244) % 48.43/48.66 (step @p410 :rule skolemize :premises (@p679)) % 48.43/48.66 (step-pop @p680 :rule scope :premises (@p410)) % 48.43/48.66 (step @p411 :rule process_scope :premises (@p680) :args (@t253)) % 48.43/48.66 (step @p413 :rule implies_elim :premises (@p411)) % 48.43/48.66 (step @p414 :rule eq_resolve :premises (@p413 @p408)) % 48.43/48.66 (step @p415 :rule bool-double-not-elim :args (@t250)) % 48.43/48.66 (step @p416 :rule refl :args (@t252)) % 48.43/48.66 (step @p417 :rule nary_cong :premises (@p416 @p415) :args ((or @t252 (not @t251)))) % 48.43/48.66 (step @p418 :rule cnf_or_neg :args (@t252 0)) % 48.43/48.66 (step @p419 :rule eq_resolve :premises (@p418 @p417)) % 48.43/48.66 (step @p420 :rule reordering :premises (@p419) :args ((or @t250 @t252))) % 48.43/48.66 (assume-push @p681 @t237) % 48.43/48.66 (step-pop @p682 :rule scope :premises (@p312)) % 48.43/48.66 (step @p422 :rule process_scope :premises (@p682) :args (@t211)) % 48.43/48.66 (step @p424 :rule implies_elim :premises (@p422)) % 48.43/48.66 (step @p425 :rule refl :args (@t258)) % 48.43/48.66 (step @p426 :rule refl :args (@t260)) % 48.43/48.66 (step @p427 :rule refl :args (@t251)) % 48.43/48.66 (step @p428 :rule nary_cong :premises (@p218 @p427 @p426 @p425) :args ((or @t181 @t251 @t260 @t258))) % 48.43/48.66 (assume-push @p683 @t151) % 48.43/48.66 (assume-push @p684 @t250) % 48.43/48.66 (assume-push @p685 @t259) % 48.43/48.66 (assume-push @p686 @t151) % 48.43/48.66 (assume-push @p687 @t250) % 48.43/48.66 (assume-push @p688 @t259) % 48.43/48.66 (step @p435 :rule false_intro :premises (@p683)) % 48.43/48.66 (step @p436 :rule symm :premises (@p685)) % 48.43/48.66 (step @p437 :rule symm :premises (@p684)) % 48.43/48.66 (step @p438 :rule cong :premises (@p437 @p436) :args (@t257)) % 48.43/48.66 (step @p439 :rule trans :premises (@p438 @p435)) % 48.43/48.66 (step @p440 :rule false_elim :premises (@p439)) % 48.43/48.66 (step-pop @p689 :rule scope :premises (@p440)) % 48.43/48.66 (step-pop @p690 :rule scope :premises (@p689)) % 48.43/48.66 (step-pop @p691 :rule scope :premises (@p690)) % 48.43/48.66 (step @p441 :rule process_scope :premises (@p691) :args (@t258)) % 48.43/48.66 (step @p445 :rule and_intro :premises (@p683 @p684 @p685)) % 48.43/48.66 (step @p446 :rule modus_ponens :premises (@p445 @p441)) % 48.43/48.66 (step-pop @p692 :rule scope :premises (@p446)) % 48.43/48.66 (step-pop @p693 :rule scope :premises (@p692)) % 48.43/48.66 (step-pop @p694 :rule scope :premises (@p693)) % 48.43/48.66 (step @p447 :rule process_scope :premises (@p694) :args (@t258)) % 48.43/48.66 (step @p451 :rule implies_elim :premises (@p447)) % 48.43/48.66 (step @p452 :rule cnf_and_neg :args (@t261)) % 48.43/48.66 (step @p453 :rule resolution :premises (@p452 @p451) :args (true @t261)) % 48.43/48.66 (step @p454 :rule eq_resolve :premises (@p453 @p428)) % 48.43/48.66 (step @p455 :rule refl :args (@t263)) % 48.43/48.66 (step @p456 :rule bool-double-not-elim :args (@t210)) % 48.43/48.66 (step @p457 :rule nary_cong :premises (@p427 @p426 @p456 @p455) :args ((or @t251 @t260 @t264 @t263))) % 48.43/48.66 (assume-push @p695 @t250) % 48.43/48.66 (assume-push @p696 @t259) % 48.43/48.66 (assume-push @p697 @t212) % 48.43/48.66 (assume-push @p698 @t212) % 48.43/48.66 (assume-push @p699 @t250) % 48.43/48.66 (assume-push @p700 @t259) % 48.43/48.66 (step @p464 :rule false_intro :premises (@p697)) % 48.43/48.66 (step @p465 :rule symm :premises (@p696)) % 48.43/48.66 (step @p466 :rule symm :premises (@p695)) % 48.43/48.66 (step @p467 :rule cong :premises (@p466 @p465) :args (@t262)) % 48.43/48.66 (step @p468 :rule trans :premises (@p467 @p464)) % 48.43/48.66 (step @p469 :rule false_elim :premises (@p468)) % 48.43/48.66 (step-pop @p701 :rule scope :premises (@p469)) % 48.43/48.66 (step-pop @p702 :rule scope :premises (@p701)) % 48.43/48.66 (step-pop @p703 :rule scope :premises (@p702)) % 48.43/48.66 (step @p470 :rule process_scope :premises (@p703) :args (@t263)) % 48.43/48.66 (step @p474 :rule and_intro :premises (@p697 @p695 @p696)) % 48.43/48.66 (step @p475 :rule modus_ponens :premises (@p474 @p470)) % 48.43/48.66 (step-pop @p704 :rule scope :premises (@p475)) % 48.43/48.66 (step-pop @p705 :rule scope :premises (@p704)) % 48.43/48.66 (step-pop @p706 :rule scope :premises (@p705)) % 48.43/48.66 (step @p476 :rule process_scope :premises (@p706) :args (@t263)) % 48.43/48.66 (step @p480 :rule implies_elim :premises (@p476)) % 48.43/48.66 (step @p481 :rule cnf_and_neg :args (@t265)) % 48.43/48.66 (step @p482 :rule resolution :premises (@p481 @p480) :args (true @t265)) % 48.43/48.66 (step @p483 :rule eq_resolve :premises (@p482 @p457)) % 48.43/48.66 (step @p484 :rule refl :args (@t267)) % 48.43/48.66 (step @p485 :rule bool-double-not-elim :args (@t238)) % 48.43/48.66 (step @p486 :rule nary_cong :premises (@p427 @p426 @p485 @p484) :args ((or @t251 @t260 @t268 @t267))) % 48.43/48.66 (assume-push @p707 @t250) % 48.43/48.66 (assume-push @p708 @t259) % 48.43/48.66 (assume-push @p709 @t240) % 48.43/48.66 (assume-push @p710 @t240) % 48.43/48.66 (assume-push @p711 @t259) % 48.43/48.66 (assume-push @p712 @t250) % 48.43/48.66 (step @p493 :rule false_intro :premises (@p709)) % 48.43/48.66 (step @p494 :rule symm :premises (@p707)) % 48.43/48.66 (step @p495 :rule symm :premises (@p708)) % 48.43/48.66 (step @p496 :rule cong :premises (@p495 @p494) :args (@t266)) % 48.43/48.66 (step @p497 :rule trans :premises (@p496 @p493)) % 48.43/48.66 (step @p498 :rule false_elim :premises (@p497)) % 48.43/48.66 (step-pop @p713 :rule scope :premises (@p498)) % 48.43/48.66 (step-pop @p714 :rule scope :premises (@p713)) % 48.43/48.66 (step-pop @p715 :rule scope :premises (@p714)) % 48.43/48.66 (step @p499 :rule process_scope :premises (@p715) :args (@t267)) % 48.43/48.66 (step @p503 :rule and_intro :premises (@p709 @p708 @p707)) % 48.43/48.66 (step @p504 :rule modus_ponens :premises (@p503 @p499)) % 48.43/48.66 (step-pop @p716 :rule scope :premises (@p504)) % 48.43/48.66 (step-pop @p717 :rule scope :premises (@p716)) % 48.43/48.66 (step-pop @p718 :rule scope :premises (@p717)) % 48.43/48.66 (step @p505 :rule process_scope :premises (@p718) :args (@t267)) % 48.43/48.66 (step @p509 :rule implies_elim :premises (@p505)) % 48.43/48.66 (step @p510 :rule cnf_and_neg :args (@t269)) % 48.43/48.66 (step @p511 :rule resolution :premises (@p510 @p509) :args (true @t269)) % 48.43/48.66 (step @p512 :rule eq_resolve :premises (@p511 @p486)) % 48.43/48.66 (step @p513 :rule cnf_or_pos :args (@t270)) % 48.43/48.66 (step @p514 :rule reordering :premises (@p513) :args ((or @t262 @t257 (not @t270)))) % 48.43/48.66 (step @p515 :rule instantiate :premises (@p4) :args ((@list @t256 @t249))) % 48.43/48.66 (step @p516 :rule cnf_or_pos :args (@t272)) % 48.43/48.66 (step @p517 :rule reordering :premises (@p516) :args ((or @t271 @t266 (not @t272)))) % 48.43/48.66 (step @p518 :rule instantiate :premises (@p1) :args ((@list @t249 @t256))) % 48.43/48.66 (step @p519 :rule cnf_equiv_pos1 :args (@t273)) % 48.43/48.66 (step @p520 :rule reordering :premises (@p519) :args ((or (not @t271) @t270 (not @t273)))) % 48.43/48.66 (step @p521 :rule chain_m_resolution :premises (@p520 @p518 @p517 @p515 @p514 @p512 @p483 @p454 @p314 @p424 @p297 @p288 @p402 @p400 @p311 @p395 @p386 @p227 @p226 @p224 @p322 @p175 @p223) :args ((or @t150 @t251 @t260) (@list false false false true true true true true false false false true false false false false true true true true true false) (@list @t273 @t271 @t272 @t270 @t266 @t262 @t257 @t210 @t211 @t183 @t190 @t238 @t239 @t237 @t215 @t222 @t148 @t153 @t154 @t162 @t143 @t152))) % 48.43/48.66 (step @p522 :rule bool-double-not-elim :args (@t259)) % 48.43/48.66 (step @p523 :rule refl :args (@t274)) % 48.43/48.66 (step @p524 :rule nary_cong :premises (@p523 @p522) :args ((or @t274 (not @t260)))) % 48.43/48.66 (step @p525 :rule cnf_or_neg :args (@t274 0)) % 48.43/48.66 (step @p526 :rule eq_resolve :premises (@p525 @p524)) % 48.43/48.66 (step @p527 :rule reordering :premises (@p526) :args ((or @t259 @t274))) % 48.43/48.66 (step @p528 :rule refl :args (@t275)) % 48.43/48.66 (step @p529 :rule bool-double-not-elim :args (@t254)) % 48.43/48.66 (step @p530 :rule nary_cong :premises (@p529 @p528) :args ((or (not @t276) @t275))) % 48.43/48.66 (assume-push @p719 @t276) % 48.43/48.66 (step @p532 :rule skolemize :premises (@p719)) % 48.43/48.66 (step-pop @p720 :rule scope :premises (@p532)) % 48.43/48.66 (step @p533 :rule process_scope :premises (@p720) :args (@t275)) % 48.43/48.66 (step @p535 :rule implies_elim :premises (@p533)) % 48.43/48.66 (step @p536 :rule eq_resolve :premises (@p535 @p530)) % 48.43/48.66 (step @p537 :rule instantiate :premises (@p311) :args (@t277)) % 48.43/48.66 (step @p538 :rule cnf_equiv_pos1 :args (@t279)) % 48.43/48.66 (step @p539 :rule reordering :premises (@p538) :args ((or @t280 @t276 (not @t279)))) % 48.43/48.66 (step @p540 :rule instantiate :premises (@p1) :args (@t277)) % 48.43/48.66 (step @p541 :rule cnf_equiv_pos1 :args (@t283)) % 48.43/48.66 (step @p542 :rule reordering :premises (@p541) :args ((or @t158 @t282 (not @t283)))) % 48.43/48.66 (step @p543 :rule chain_m_resolution :premises (@p542 @p251 @p540) :args (@t282 @t284 (@list @t157 @t283))) % 48.43/48.66 (step @p544 :rule cnf_or_pos :args (@t282)) % 48.43/48.66 (step @p545 :rule reordering :premises (@p544) :args ((or @t278 @t281 (not @t282)))) % 48.43/48.66 (step @p546 :rule refl :args (@t285)) % 48.43/48.66 (step @p547 :rule refl :args (@t247)) % 48.43/48.66 (step @p548 :rule nary_cong :premises (@p547 @p546 @p485) :args ((or @t247 @t285 @t268))) % 48.43/48.66 (assume-push @p721 @t245) % 48.43/48.66 (assume-push @p722 @t281) % 48.43/48.66 (assume-push @p723 @t240) % 48.43/48.66 (step @p552 :rule evaluate :args ((= false true))) % 48.43/48.66 (step @p553 :rule true_intro :premises (@p721)) % 48.43/48.66 (step @p270 :rule refl :args (@t144)) % 48.43/48.66 (step @p554 :rule symm :premises (@p722)) % 48.43/48.66 (step @p555 :rule cong :premises (@p554 @p270) :args (@t238)) % 48.43/48.66 (step @p556 :rule false_intro :premises (@p723)) % 48.43/48.66 (step @p557 :rule symm :premises (@p556)) % 48.43/48.66 (step @p558 :rule trans :premises (@p557 @p555 @p553)) % 48.43/48.66 (step @p559 false :rule eq_resolve :premises (@p558 @p552)) % 48.43/48.66 (step-pop @p724 :rule scope :premises (@p559)) % 48.43/48.66 (step-pop @p725 :rule scope :premises (@p724)) % 48.43/48.66 (step-pop @p726 :rule scope :premises (@p725)) % 48.43/48.66 (step @p560 :rule process_scope :premises (@p726) :args (false)) % 48.43/48.66 (step @p564 :rule not_and :premises (@p560)) % 48.43/48.66 (step @p565 :rule eq_resolve :premises (@p564 @p548)) % 48.43/48.66 (step @p566 :rule chain_m_resolution :premises (@p565 @p545 @p543 @p539 @p537 @p536 @p527 @p521 @p420 @p414 @p405 @p403 @p402 @p400 @p311 @p395 @p386 @p227 @p226 @p224 @p322 @p175 @p223) :args ((or @t150 @t247) (@list false false true false false false true false true true false true false false false false true true true true true false) (@list @t281 @t282 @t278 @t279 @t254 @t274 @t259 @t250 @t252 @t243 @t246 @t238 @t239 @t237 @t215 @t222 @t148 @t153 @t154 @t162 @t143 @t152))) % 48.43/48.66 (step @p567 :rule instantiate :premises (@p1) :args (@t241)) % 48.43/48.66 (step @p568 :rule cnf_equiv_pos1 :args (@t288)) % 48.43/48.66 (step @p569 :rule reordering :premises (@p568) :args ((or @t161 @t287 (not @t288)))) % 48.43/48.66 (step @p570 :rule chain_m_resolution :premises (@p569 @p189 @p567) :args (@t287 @t284 (@list @t160 @t288))) % 48.43/48.66 (step @p571 :rule cnf_or_pos :args (@t287)) % 48.43/48.66 (step @p572 :rule reordering :premises (@p571) :args ((or @t245 @t286 (not @t287)))) % 48.43/48.66 (step @p573 :rule refl :args (@t289)) % 48.43/48.66 (step @p574 :rule nary_cong :premises (@p218 @p573 @p546) :args ((or @t181 @t289 @t285))) % 48.43/48.66 (assume-push @p727 @t151) % 48.43/48.66 (assume-push @p728 @t286) % 48.43/48.66 (assume-push @p729 @t151) % 48.43/48.66 (assume-push @p730 @t286) % 48.43/48.66 (step @p579 :rule false_intro :premises (@p727)) % 48.43/48.66 (step @p368 :rule refl :args (@t147)) % 48.43/48.66 (step @p580 :rule cong :premises (@p728 @p368) :args (@t281)) % 48.43/48.66 (step @p581 :rule trans :premises (@p580 @p579)) % 48.43/48.66 (step @p582 :rule false_elim :premises (@p581)) % 48.43/48.66 (step-pop @p731 :rule scope :premises (@p582)) % 48.43/48.66 (step-pop @p732 :rule scope :premises (@p731)) % 48.43/48.66 (step @p583 :rule process_scope :premises (@p732) :args (@t285)) % 48.43/48.66 (step @p586 :rule and_intro :premises (@p727 @p728)) % 48.43/48.66 (step @p587 :rule modus_ponens :premises (@p586 @p583)) % 48.43/48.66 (step-pop @p733 :rule scope :premises (@p587)) % 48.43/48.66 (step-pop @p734 :rule scope :premises (@p733)) % 48.43/48.66 (step @p588 :rule process_scope :premises (@p734) :args (@t285)) % 48.43/48.66 (step @p591 :rule implies_elim :premises (@p588)) % 48.43/48.66 (step @p592 :rule cnf_and_neg :args (@t290)) % 48.43/48.66 (step @p593 :rule resolution :premises (@p592 @p591) :args (true @t290)) % 48.43/48.66 (step @p594 :rule eq_resolve :premises (@p593 @p574)) % 48.43/48.66 (step @p595 :rule refl :args (@t280)) % 48.43/48.66 (step @p596 :rule nary_cong :premises (@p573 @p456 @p595) :args ((or @t289 @t264 @t280))) % 48.43/48.66 (assume-push @p735 @t286) % 48.43/48.66 (assume-push @p736 @t212) % 48.43/48.66 (assume-push @p737 @t212) % 48.43/48.66 (assume-push @p738 @t286) % 48.43/48.66 (step @p601 :rule false_intro :premises (@p736)) % 48.43/48.66 (step @p368 :rule refl :args (@t147)) % 48.43/48.66 (step @p602 :rule cong :premises (@p735 @p368) :args (@t278)) % 48.43/48.66 (step @p603 :rule trans :premises (@p602 @p601)) % 48.43/48.66 (step @p604 :rule false_elim :premises (@p603)) % 48.43/48.66 (step-pop @p739 :rule scope :premises (@p604)) % 48.43/48.66 (step-pop @p740 :rule scope :premises (@p739)) % 48.43/48.66 (step @p605 :rule process_scope :premises (@p740) :args (@t280)) % 48.43/48.66 (step @p608 :rule and_intro :premises (@p736 @p735)) % 48.43/48.66 (step @p609 :rule modus_ponens :premises (@p608 @p605)) % 48.43/48.66 (step-pop @p741 :rule scope :premises (@p609)) % 48.43/48.66 (step-pop @p742 :rule scope :premises (@p741)) % 48.43/48.66 (step @p610 :rule process_scope :premises (@p742) :args (@t280)) % 48.43/48.66 (step @p613 :rule implies_elim :premises (@p610)) % 48.43/48.66 (step @p614 :rule cnf_and_neg :args (@t291)) % 48.43/48.66 (step @p615 :rule resolution :premises (@p614 @p613) :args (true @t291)) % 48.43/48.66 (step @p616 :rule eq_resolve :premises (@p615 @p596)) % 48.43/48.66 (step @p617 :rule reordering :premises (@p616) :args ((or @t289 @t280 @t210))) % 48.43/48.66 (step @p618 :rule chain_m_resolution :premises (@p545 @p543 @p617 @p594 @p572 @p570 @p566 @p314 @p312 @p297 @p288 @p227 @p226 @p225 @p223) :args (@t150 (@list false true true false false true true false false false true true true false) (@list @t282 @t278 @t281 @t286 @t287 @t245 @t210 @t211 @t183 @t190 @t148 @t153 @t154 @t152))) % 48.43/48.66 (step @p619 :rule cnf_or_neg :args (@t153 0)) % 48.43/48.66 (step @p620 :rule chain_m_resolution :premises (@p619 @p618) :args (@t153 @t176 (@list @t150))) % 48.43/48.66 (step @p621 :rule chain_m_resolution :premises (@p226 @p225 @p620) :args ((not @t152) (@list true false) (@list @t154 @t153))) % 48.43/48.66 (step @p622 :rule nary_cong :premises (@p219 @p262) :args ((or @t152 @t201))) % 48.43/48.66 (step @p623 :rule cnf_or_neg :args (@t152 1)) % 48.43/48.66 (step @p624 :rule eq_resolve :premises (@p623 @p622)) % 48.43/48.66 (step @p625 :rule reordering :premises (@p624) :args ((or @t148 @t152))) % 48.43/48.66 (step @p626 :rule chain_m_resolution :premises (@p625 @p621) :args (@t148 @t163 (@list @t152))) % 48.43/48.66 (assume-push @p743 @t150) % 48.43/48.66 (assume-push @p744 @t148) % 48.43/48.66 (assume-push @p745 @t171) % 48.43/48.66 (assume-push @p746 @t148) % 48.43/48.66 (assume-push @p747 @t150) % 48.43/48.66 (assume-push @p748 @t171) % 48.43/48.66 (step @p633 :rule symm :premises (@p744)) % 48.43/48.66 (step @p270 :rule refl :args (@t144)) % 48.43/48.66 (step @p634 :rule cong :premises (@p270 @p743) :args (@t170)) % 48.43/48.66 (step @p635 :rule trans :premises (@p217 @p634 @p633)) % 48.43/48.66 (step-pop @p749 :rule scope :premises (@p635)) % 48.43/48.66 (step-pop @p750 :rule scope :premises (@p749)) % 48.43/48.66 (step-pop @p751 :rule scope :premises (@p750)) % 48.43/48.66 (step @p636 :rule process_scope :premises (@p751) :args (@t292)) % 48.43/48.66 (step @p640 :rule and_intro :premises (@p744 @p743 @p217)) % 48.43/48.66 (step @p641 :rule modus_ponens :premises (@p640 @p636)) % 48.43/48.66 (step-pop @p752 :rule scope :premises (@p641)) % 48.43/48.66 (step-pop @p753 :rule scope :premises (@p752)) % 48.43/48.66 (step-pop @p754 :rule scope :premises (@p753)) % 48.43/48.66 (step @p642 :rule process_scope :premises (@p754) :args (@t292)) % 48.43/48.66 (step @p646 :rule implies_elim :premises (@p642)) % 48.43/48.66 (step @p647 :rule cnf_and_neg :args (@t293)) % 48.43/48.66 (step @p648 :rule resolution :premises (@p647 @p646) :args (true @t293)) % 48.43/48.66 (step @p649 :rule reordering :premises (@p648) :args ((or @t292 @t151 @t149 (not @t171)))) % 48.43/48.66 (step @p650 false :rule chain_m_resolution :premises (@p649 @p626 @p618 @p217 @p15) :args (false (@list false false false true) (@list @t148 @t150 @t171 @t292))) % 48.43/48.66 ) % 48.43/48.66 % SZS output end Proof % 48.43/48.66 % cvc5 exiting %------------------------------------------------------------------------------