%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV491+4 : 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 : n014.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 48.34s 48.51s % Output : Proof 48.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV491+4 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n014.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 20:20:58 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 48.34/48.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 48.34/48.51 --- Run --no-e-matching --full-saturate-quant at 6... % 48.34/48.51 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 48.34/48.51 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 48.34/48.51 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 48.34/48.51 % SZS status Theorem % 48.34/48.51 % SZS output start Proof % 48.34/48.51 ( % 48.34/48.51 (declare-sort $$unsorted 0) % 48.34/48.51 (declare-const tptp.n $$unsorted) % 48.34/48.51 (declare-const tptp.real_one $$unsorted) % 48.34/48.51 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 48.34/48.51 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 48.34/48.51 (declare-const tptp.real_zero $$unsorted) % 48.34/48.51 (declare-const tptp.int_zero $$unsorted) % 48.34/48.51 (declare-const tptp.int_one $$unsorted) % 48.34/48.51 (declare-const tptp.int_leq (-> $$unsorted $$unsorted Bool)) % 48.34/48.51 (declare-const tptp.int_less (-> $$unsorted $$unsorted Bool)) % 48.34/48.51 (define @t1 () (@var "J" $$unsorted)) % 48.34/48.51 (define @t2 () (@var "I" $$unsorted)) % 48.34/48.51 (define @t3 () (= @t2 @t1)) % 48.34/48.51 (define @t4 () (tptp.int_less @t2 @t1)) % 48.34/48.51 (define @t5 () (@list @t2 @t1)) % 48.34/48.51 (define @t6 () (forall @t5 (= (tptp.int_leq @t2 @t1) (or @t4 @t3)))) % 48.34/48.51 (define @t7 () (@var "K" $$unsorted)) % 48.34/48.51 (define @t8 () (not @t3)) % 48.34/48.51 (define @t9 () (tptp.int_less tptp.int_zero tptp.int_one)) % 48.34/48.51 (define @t10 () (@list @t2)) % 48.34/48.51 (define @t11 () (@var "J2" $$unsorted)) % 48.34/48.51 (define @t12 () (@var "J1" $$unsorted)) % 48.34/48.51 (define @t13 () (@var "I2" $$unsorted)) % 48.34/48.51 (define @t14 () (@var "I1" $$unsorted)) % 48.34/48.51 (define @t15 () (tptp.int_less tptp.int_zero @t7)) % 48.34/48.51 (define @t16 () (tptp.plus @t2 @t7)) % 48.34/48.51 (define @t17 () (and (= @t16 @t1) @t15)) % 48.34/48.51 (define @t18 () (@list @t7)) % 48.34/48.51 (define @t19 () (exists @t18 @t17)) % 48.34/48.51 (define @t20 () (= @t4 @t19)) % 48.34/48.51 (define @t21 () (forall @t5 @t20)) % 48.34/48.51 (define @t22 () (tptp.int_leq tptp.int_one @t2)) % 48.34/48.51 (define @t23 () (@var "C" $$unsorted)) % 48.34/48.51 (define @t24 () (tptp.plus @t7 @t23)) % 48.34/48.51 (define @t25 () (tptp.a @t7 @t24)) % 48.34/48.51 (define @t26 () (tptp.int_leq @t7 @t2)) % 48.34/48.51 (define @t27 () (tptp.int_leq tptp.int_one @t7)) % 48.34/48.51 (define @t28 () (and @t27 @t26)) % 48.34/48.51 (define @t29 () (=> @t28 (= @t25 tptp.real_zero))) % 48.34/48.51 (define @t30 () (forall @t18 @t29)) % 48.34/48.51 (define @t31 () (= @t1 (tptp.plus @t2 @t23))) % 48.34/48.51 (define @t32 () (tptp.int_less tptp.int_zero @t23)) % 48.34/48.51 (define @t33 () (and @t32 @t31)) % 48.34/48.51 (define @t34 () (=> @t33 @t30)) % 48.34/48.51 (define @t35 () (@list @t23)) % 48.34/48.51 (define @t36 () (forall @t35 @t34)) % 48.34/48.51 (define @t37 () (tptp.a @t7 @t7)) % 48.34/48.51 (define @t38 () (tptp.int_leq @t7 @t1)) % 48.34/48.51 (define @t39 () (and @t27 @t38)) % 48.34/48.51 (define @t40 () (=> @t39 (= @t37 tptp.real_one))) % 48.34/48.51 (define @t41 () (forall @t18 @t40)) % 48.34/48.51 (define @t42 () (tptp.a @t24 @t7)) % 48.34/48.51 (define @t43 () (=> @t39 (= @t42 tptp.real_zero))) % 48.34/48.51 (define @t44 () (forall @t18 @t43)) % 48.34/48.51 (define @t45 () (= @t2 (tptp.plus @t1 @t23))) % 48.34/48.51 (define @t46 () (and @t32 @t45)) % 48.34/48.51 (define @t47 () (=> @t46 @t44)) % 48.34/48.51 (define @t48 () (forall @t35 @t47)) % 48.34/48.51 (define @t49 () (and @t48 @t41 @t36)) % 48.34/48.51 (define @t50 () (tptp.int_leq @t1 tptp.n)) % 48.34/48.51 (define @t51 () (tptp.int_leq tptp.int_one @t1)) % 48.34/48.51 (define @t52 () (tptp.int_leq @t2 tptp.n)) % 48.34/48.51 (define @t53 () (and @t22 @t52 @t51 @t50)) % 48.34/48.51 (define @t54 () (=> @t53 @t49)) % 48.34/48.51 (define @t55 () (forall @t5 @t54)) % 48.34/48.51 (define @t56 () (tptp.a @t2 @t1)) % 48.34/48.51 (define @t57 () (=> @t3 (= @t56 tptp.real_one))) % 48.34/48.51 (define @t58 () (=> @t8 (= @t56 tptp.real_zero))) % 48.34/48.51 (define @t59 () (and @t58 @t57)) % 48.34/48.51 (define @t60 () (=> @t53 @t59)) % 48.34/48.51 (define @t61 () (forall @t5 @t60)) % 48.34/48.51 (define @t62 () (not @t61)) % 48.34/48.51 (define @t63 () (@var "BOUND_VARIABLE_7673" $$unsorted)) % 48.34/48.51 (define @t64 () (@var "BOUND_VARIABLE_7675" $$unsorted)) % 48.34/48.51 (define @t65 () (or (not (tptp.int_less tptp.int_zero @t63)) (not (= @t1 (tptp.plus @t2 @t63))) (not (tptp.int_leq tptp.int_one @t64)) (not (tptp.int_leq @t64 @t2)) (= tptp.real_zero (tptp.a @t64 (tptp.plus @t64 @t63))))) % 48.34/48.51 (define @t66 () (@var "BOUND_VARIABLE_7664" $$unsorted)) % 48.34/48.51 (define @t67 () (or (not (tptp.int_leq tptp.int_one @t66)) (not (tptp.int_leq @t66 @t1)) (= tptp.real_one (tptp.a @t66 @t66)))) % 48.34/48.51 (define @t68 () (@var "BOUND_VARIABLE_7649" $$unsorted)) % 48.34/48.51 (define @t69 () (@var "BOUND_VARIABLE_7647" $$unsorted)) % 48.34/48.51 (define @t70 () (or (not (tptp.int_less tptp.int_zero @t69)) (not (= @t2 (tptp.plus @t1 @t69))) (not (tptp.int_leq tptp.int_one @t68)) (not (tptp.int_leq @t68 @t1)) (= tptp.real_zero (tptp.a (tptp.plus @t68 @t69) @t68)))) % 48.34/48.51 (define @t71 () (and @t70 @t67 @t65)) % 48.34/48.51 (define @t72 () (not @t50)) % 48.34/48.51 (define @t73 () (not @t51)) % 48.34/48.51 (define @t74 () (not @t52)) % 48.34/48.51 (define @t75 () (not @t22)) % 48.34/48.51 (define @t76 () (or @t75 @t74 @t73 @t72 @t71)) % 48.34/48.51 (define @t77 () (@list @t69 @t68 @t66 @t63 @t64)) % 48.34/48.51 (define @t78 () (forall @t77 @t76)) % 48.34/48.51 (define @t79 () (forall (@list @t63 @t64) @t65)) % 48.34/48.51 (define @t80 () (@var "BOUND_VARIABLE_7621" $$unsorted)) % 48.34/48.51 (define @t81 () (forall @t77 @t65)) % 48.34/48.51 (define @t82 () (forall (@list @t66) @t67)) % 48.34/48.51 (define @t83 () (@list @t7)) % 48.34/48.51 (define @t84 () (forall @t77 @t67)) % 48.34/48.51 (define @t85 () (forall (@list @t69 @t68) @t70)) % 48.34/48.51 (define @t86 () (@var "BOUND_VARIABLE_7586" $$unsorted)) % 48.34/48.51 (define @t87 () (forall @t77 @t70)) % 48.34/48.51 (define @t88 () (and @t87 @t84 @t81)) % 48.34/48.51 (define @t89 () (forall @t77 @t71)) % 48.34/48.51 (define @t90 () (or @t75 @t74 @t73 @t72 @t89)) % 48.34/48.51 (define @t91 () (= tptp.real_zero (tptp.a @t80 (tptp.plus @t80 @t23)))) % 48.34/48.51 (define @t92 () (not (tptp.int_leq @t80 @t2))) % 48.34/48.51 (define @t93 () (not (tptp.int_leq tptp.int_one @t80))) % 48.34/48.51 (define @t94 () (not @t31)) % 48.34/48.51 (define @t95 () (not @t32)) % 48.34/48.51 (define @t96 () (or @t95 @t94 @t93 @t92 @t91)) % 48.34/48.51 (define @t97 () (@list @t23 @t80)) % 48.34/48.51 (define @t98 () (= tptp.real_one @t37)) % 48.34/48.51 (define @t99 () (not @t38)) % 48.34/48.51 (define @t100 () (not @t27)) % 48.34/48.51 (define @t101 () (or @t100 @t99 @t98)) % 48.34/48.51 (define @t102 () (= tptp.real_zero (tptp.a (tptp.plus @t86 @t23) @t86))) % 48.34/48.51 (define @t103 () (not (tptp.int_leq @t86 @t1))) % 48.34/48.51 (define @t104 () (not (tptp.int_leq tptp.int_one @t86))) % 48.34/48.51 (define @t105 () (not @t45)) % 48.34/48.51 (define @t106 () (or @t95 @t105 @t104 @t103 @t102)) % 48.34/48.51 (define @t107 () (@list @t23 @t86)) % 48.34/48.51 (define @t108 () (and (forall @t107 @t106) (forall @t18 @t101) (forall @t97 @t96))) % 48.34/48.51 (define @t109 () (or @t75 @t74 @t73 @t72 @t108)) % 48.34/48.51 (define @t110 () (or @t75 @t74 @t73 @t72)) % 48.34/48.51 (define @t111 () (not @t53)) % 48.34/48.51 (define @t112 () (or @t93 @t92 @t91)) % 48.34/48.51 (define @t113 () (or @t95 @t94 @t112)) % 48.34/48.51 (define @t114 () (forall @t97 @t113)) % 48.34/48.51 (define @t115 () (@list @t80)) % 48.34/48.51 (define @t116 () (forall @t115 @t113)) % 48.34/48.51 (define @t117 () (forall @t115 @t112)) % 48.34/48.51 (define @t118 () (or @t95 @t94 @t117)) % 48.34/48.51 (define @t119 () (= tptp.real_zero @t25)) % 48.34/48.51 (define @t120 () (not @t26)) % 48.34/48.51 (define @t121 () (or @t100 @t120 @t119)) % 48.34/48.51 (define @t122 () (forall @t18 @t121)) % 48.34/48.51 (define @t123 () (or @t95 @t94 @t122)) % 48.34/48.51 (define @t124 () (or @t100 @t99)) % 48.34/48.51 (define @t125 () (not @t39)) % 48.34/48.51 (define @t126 () (or @t104 @t103 @t102)) % 48.34/48.51 (define @t127 () (or @t95 @t105 @t126)) % 48.34/48.51 (define @t128 () (forall @t107 @t127)) % 48.34/48.51 (define @t129 () (@list @t86)) % 48.34/48.51 (define @t130 () (forall @t129 @t127)) % 48.34/48.51 (define @t131 () (forall @t129 @t126)) % 48.34/48.51 (define @t132 () (or @t95 @t105 @t131)) % 48.34/48.51 (define @t133 () (= tptp.real_zero @t42)) % 48.34/48.51 (define @t134 () (or @t100 @t99 @t133)) % 48.34/48.51 (define @t135 () (forall @t18 @t134)) % 48.34/48.51 (define @t136 () (or @t95 @t105 @t135)) % 48.34/48.51 (define @t137 () (= tptp.real_one @t56)) % 48.34/48.51 (define @t138 () (= tptp.real_zero @t56)) % 48.34/48.51 (define @t139 () (and (or @t3 @t138) (or @t8 @t137))) % 48.34/48.51 (define @t140 () (or @t75 @t74 @t73 @t72 @t139)) % 48.34/48.51 (define @t141 () (forall @t5 @t140)) % 48.34/48.51 (define @t142 () (@quantifiers_skolemize @t141 0)) % 48.34/48.51 (define @t143 () (and (=> @t8 @t138) (=> @t3 @t137))) % 48.34/48.51 (define @t144 () (tptp.int_leq @t142 tptp.n)) % 48.34/48.51 (define @t145 () (@quantifiers_skolemize @t141 1)) % 48.34/48.51 (define @t146 () (tptp.a @t142 @t145)) % 48.34/48.51 (define @t147 () (= tptp.real_one @t146)) % 48.34/48.51 (define @t148 () (= @t142 @t145)) % 48.34/48.51 (define @t149 () (not @t148)) % 48.34/48.51 (define @t150 () (or @t149 @t147)) % 48.34/48.51 (define @t151 () (= tptp.real_zero @t146)) % 48.34/48.51 (define @t152 () (or @t148 @t151)) % 48.34/48.51 (define @t153 () (and @t152 @t150)) % 48.34/48.51 (define @t154 () (tptp.int_leq @t145 tptp.n)) % 48.34/48.51 (define @t155 () (not @t154)) % 48.34/48.51 (define @t156 () (tptp.int_leq tptp.int_one @t145)) % 48.34/48.51 (define @t157 () (not @t156)) % 48.34/48.51 (define @t158 () (not @t144)) % 48.34/48.51 (define @t159 () (tptp.int_leq tptp.int_one @t142)) % 48.34/48.51 (define @t160 () (not @t159)) % 48.34/48.51 (define @t161 () (or @t160 @t158 @t157 @t155 @t153)) % 48.34/48.51 (define @t162 () (@list true)) % 48.34/48.51 (define @t163 () (@list @t161)) % 48.34/48.51 (define @t164 () (tptp.plus @t142 tptp.int_one)) % 48.34/48.51 (define @t165 () (tptp.int_leq @t142 @t142)) % 48.34/48.51 (define @t166 () (not @t165)) % 48.34/48.51 (define @t167 () (not (= @t142 @t164))) % 48.34/48.51 (define @t168 () (not @t9)) % 48.34/48.51 (define @t169 () (tptp.a @t142 @t142)) % 48.34/48.51 (define @t170 () (= tptp.real_one @t169)) % 48.34/48.51 (define @t171 () (or @t160 @t166 @t170)) % 48.34/48.51 (define @t172 () (and (or @t168 @t167 @t160 @t166 (= tptp.real_zero (tptp.a @t164 @t142))) @t171 (or @t168 @t167 @t160 @t166 (= tptp.real_zero (tptp.a @t142 @t164))))) % 48.34/48.51 (define @t173 () (or @t160 @t158 @t160 @t158 @t172)) % 48.34/48.51 (define @t174 () (@list false false false)) % 48.34/48.51 (define @t175 () (@list false)) % 48.34/48.51 (define @t176 () (tptp.int_less @t142 @t142)) % 48.34/48.51 (define @t177 () (or @t176 (= @t142 @t142))) % 48.34/48.51 (define @t178 () (= @t165 @t177)) % 48.34/48.51 (define @t179 () (@list @t6)) % 48.34/48.51 (define @t180 () (not @t149)) % 48.34/48.51 (define @t181 () (not @t15)) % 48.34/48.51 (define @t182 () (forall @t18 (or (not (= @t145 (tptp.plus @t142 @t7))) @t181))) % 48.34/48.51 (define @t183 () (@quantifiers_skolemize @t182 0)) % 48.34/48.51 (define @t184 () (tptp.plus @t142 @t183)) % 48.34/48.51 (define @t185 () (= @t145 @t184)) % 48.34/48.51 (define @t186 () (tptp.int_less tptp.int_zero @t183)) % 48.34/48.51 (define @t187 () (not @t186)) % 48.34/48.51 (define @t188 () (not @t185)) % 48.34/48.51 (define @t189 () (or @t188 @t187)) % 48.34/48.51 (define @t190 () (tptp.a @t142 @t184)) % 48.34/48.51 (define @t191 () (= tptp.real_zero @t190)) % 48.34/48.51 (define @t192 () (or @t187 @t188 @t160 @t166 @t191)) % 48.34/48.51 (define @t193 () (not (tptp.int_leq tptp.int_one tptp.int_one))) % 48.34/48.51 (define @t194 () (or @t193 @t157 (= tptp.real_one (tptp.a tptp.int_one tptp.int_one)))) % 48.34/48.51 (define @t195 () (tptp.plus tptp.int_one tptp.int_one)) % 48.34/48.51 (define @t196 () (and (or @t168 (not (= @t142 (tptp.plus @t145 tptp.int_one))) @t193 @t157 (= tptp.real_zero (tptp.a @t195 tptp.int_one))) @t194 @t192)) % 48.34/48.51 (define @t197 () (or @t160 @t158 @t157 @t155 @t196)) % 48.34/48.51 (define @t198 () (@list false false false false false)) % 48.34/48.51 (define @t199 () (not @t191)) % 48.34/48.51 (define @t200 () (not @t151)) % 48.34/48.51 (define @t201 () (not @t200)) % 48.34/48.51 (define @t202 () (and @t200 @t185)) % 48.34/48.51 (define @t203 () (@list false false false false false false)) % 48.34/48.51 (define @t204 () (not @t189)) % 48.34/48.51 (define @t205 () (not @t182)) % 48.34/48.51 (define @t206 () (= @t1 @t16)) % 48.34/48.51 (define @t207 () (and @t206 @t15)) % 48.34/48.51 (define @t208 () (forall @t18 (not @t207))) % 48.34/48.51 (define @t209 () (not @t208)) % 48.34/48.51 (define @t210 () (tptp.int_less @t142 @t145)) % 48.34/48.51 (define @t211 () (= @t210 @t205)) % 48.34/48.51 (define @t212 () (not @t210)) % 48.34/48.51 (define @t213 () (not @t161)) % 48.34/48.51 (define @t214 () (not @t141)) % 48.34/48.51 (define @t215 () (forall @t18 (or (not (= @t142 (tptp.plus @t145 @t7))) @t181))) % 48.34/48.51 (define @t216 () (@quantifiers_skolemize @t215 0)) % 48.34/48.51 (define @t217 () (tptp.plus @t145 @t216)) % 48.34/48.51 (define @t218 () (= @t142 @t217)) % 48.34/48.51 (define @t219 () (tptp.int_less tptp.int_zero @t216)) % 48.34/48.51 (define @t220 () (not @t219)) % 48.34/48.51 (define @t221 () (not @t218)) % 48.34/48.51 (define @t222 () (or @t221 @t220)) % 48.34/48.51 (define @t223 () (tptp.int_leq @t145 @t145)) % 48.34/48.51 (define @t224 () (tptp.int_less @t145 @t145)) % 48.34/48.51 (define @t225 () (or @t224 (= @t145 @t145))) % 48.34/48.51 (define @t226 () (= @t223 @t225)) % 48.34/48.51 (define @t227 () (tptp.a @t217 @t145)) % 48.34/48.51 (define @t228 () (= tptp.real_zero @t227)) % 48.34/48.51 (define @t229 () (not @t223)) % 48.34/48.51 (define @t230 () (or @t220 @t221 @t157 @t229 @t228)) % 48.34/48.51 (define @t231 () (and @t230 @t194 (or @t168 (not (= @t145 @t164)) @t193 @t160 (= tptp.real_zero (tptp.a tptp.int_one @t195))))) % 48.34/48.51 (define @t232 () (or @t160 @t158 @t157 @t155 @t231)) % 48.34/48.51 (define @t233 () (not @t228)) % 48.34/48.51 (define @t234 () (and @t200 @t218)) % 48.34/48.51 (define @t235 () (not @t222)) % 48.34/48.51 (define @t236 () (not @t215)) % 48.34/48.51 (define @t237 () (forall @t5 (= @t4 (not (forall @t18 (or (not @t206) @t181)))))) % 48.34/48.51 (define @t238 () (tptp.int_less @t145 @t142)) % 48.34/48.51 (define @t239 () (= @t238 @t236)) % 48.34/48.51 (define @t240 () (not @t238)) % 48.34/48.51 (define @t241 () (@list tptp.int_one @t142)) % 48.34/48.51 (define @t242 () (tptp.plus tptp.int_one @t7)) % 48.34/48.51 (define @t243 () (forall @t18 (or (not (= @t142 @t242)) @t181))) % 48.34/48.51 (define @t244 () (not @t243)) % 48.34/48.51 (define @t245 () (tptp.int_less tptp.int_one @t142)) % 48.34/48.51 (define @t246 () (= @t245 @t244)) % 48.34/48.51 (define @t247 () (not @t245)) % 48.34/48.51 (define @t248 () (@quantifiers_skolemize @t243 0)) % 48.34/48.51 (define @t249 () (tptp.plus tptp.int_one @t248)) % 48.34/48.51 (define @t250 () (= @t142 @t249)) % 48.34/48.51 (define @t251 () (not @t250)) % 48.34/48.51 (define @t252 () (or @t251 (not (tptp.int_less tptp.int_zero @t248)))) % 48.34/48.51 (define @t253 () (not @t252)) % 48.34/48.51 (define @t254 () (forall @t18 (or (not (= @t145 @t242)) @t181))) % 48.34/48.51 (define @t255 () (@quantifiers_skolemize @t254 0)) % 48.34/48.51 (define @t256 () (tptp.plus tptp.int_one @t255)) % 48.34/48.51 (define @t257 () (= @t249 @t256)) % 48.34/48.51 (define @t258 () (not @t257)) % 48.34/48.51 (define @t259 () (= @t145 @t256)) % 48.34/48.51 (define @t260 () (not @t259)) % 48.34/48.51 (define @t261 () (and @t149 @t250 @t259)) % 48.34/48.51 (define @t262 () (tptp.int_less @t249 @t256)) % 48.34/48.51 (define @t263 () (not @t262)) % 48.34/48.51 (define @t264 () (not @t212)) % 48.34/48.51 (define @t265 () (and @t250 @t259 @t212)) % 48.34/48.51 (define @t266 () (tptp.int_less @t256 @t249)) % 48.34/48.51 (define @t267 () (not @t266)) % 48.34/48.51 (define @t268 () (not @t240)) % 48.34/48.51 (define @t269 () (and @t250 @t259 @t240)) % 48.34/48.51 (define @t270 () (or @t262 @t257)) % 48.34/48.51 (define @t271 () (tptp.int_leq @t249 @t256)) % 48.34/48.51 (define @t272 () (or @t266 @t271)) % 48.34/48.51 (define @t273 () (= @t271 @t270)) % 48.34/48.51 (define @t274 () (or @t260 (not (tptp.int_less tptp.int_zero @t255)))) % 48.34/48.51 (define @t275 () (not @t274)) % 48.34/48.51 (define @t276 () (not @t254)) % 48.34/48.51 (define @t277 () (@list tptp.int_one @t145)) % 48.34/48.51 (define @t278 () (tptp.int_less tptp.int_one @t145)) % 48.34/48.51 (define @t279 () (= @t278 @t276)) % 48.34/48.51 (define @t280 () (not @t278)) % 48.34/48.51 (define @t281 () (= tptp.int_one @t145)) % 48.34/48.51 (define @t282 () (or @t278 @t281)) % 48.34/48.51 (define @t283 () (= @t156 @t282)) % 48.34/48.51 (define @t284 () (@list false false)) % 48.34/48.51 (define @t285 () (not @t281)) % 48.34/48.51 (define @t286 () (= tptp.int_one @t142)) % 48.34/48.51 (define @t287 () (or @t245 @t286)) % 48.34/48.51 (define @t288 () (= @t159 @t287)) % 48.34/48.51 (define @t289 () (not @t286)) % 48.34/48.51 (define @t290 () (and @t149 @t286)) % 48.34/48.51 (define @t291 () (and @t286 @t212)) % 48.34/48.51 (define @t292 () (and @t148 @t170)) % 48.34/48.51 (assume @p1 @t6) % 48.34/48.51 (assume @p2 (forall (@list @t2 @t1 @t7) (=> (and @t4 (tptp.int_less @t1 @t7)) (tptp.int_less @t2 @t7)))) % 48.34/48.51 (assume @p3 (forall @t5 (=> @t4 @t8))) % 48.34/48.51 (assume @p4 (forall @t5 (or @t4 (tptp.int_leq @t1 @t2)))) % 48.34/48.51 (assume @p5 @t9) % 48.34/48.51 (assume @p6 (forall @t5 (= (tptp.plus @t2 @t1) (tptp.plus @t1 @t2)))) % 48.34/48.51 (assume @p7 (forall @t10 (= (tptp.plus @t2 tptp.int_zero) @t2))) % 48.34/48.51 (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))))) % 48.34/48.51 (assume @p9 @t21) % 48.34/48.51 (assume @p10 (forall @t10 (= (tptp.int_less tptp.int_zero @t2) @t22))) % 48.34/48.51 (assume @p11 (not (= tptp.real_zero tptp.real_one))) % 48.34/48.51 (assume @p12 @t55) % 48.34/48.51 (assume @p13 @t62) % 48.34/48.51 (assume @p14 true) % 48.34/48.51 (step @p15 :rule quant-merge-prenex :args ((= (forall @t5 @t78) (forall (@list @t2 @t1 @t69 @t68 @t66 @t63 @t64) @t76)))) % 48.34/48.51 (step @p16 :rule alpha_equiv :args (@t79 (@list @t63 @t64) (@list @t23 @t80))) % 48.34/48.51 (step @p17 :rule quant-unused-vars :args ((= @t81 @t79))) % 48.34/48.51 (step @p18 :rule trans :premises (@p17 @p16)) % 48.34/48.51 (step @p19 :rule alpha_equiv :args (@t82 (@list @t66) @t83)) % 48.34/48.51 (step @p20 :rule quant-unused-vars :args ((= @t84 @t82))) % 48.34/48.51 (step @p21 :rule trans :premises (@p20 @p19)) % 48.34/48.51 (step @p22 :rule alpha_equiv :args (@t85 (@list @t69 @t68) (@list @t23 @t86))) % 48.34/48.51 (step @p23 :rule quant-unused-vars :args ((= @t87 @t85))) % 48.34/48.51 (step @p24 :rule trans :premises (@p23 @p22)) % 48.34/48.51 (step @p25 :rule nary_cong :premises (@p24 @p21 @p18) :args (@t88)) % 48.34/48.51 (step @p26 :rule quant-miniscope-and :args ((= @t89 @t88))) % 48.34/48.51 (step @p27 :rule trans :premises (@p26 @p25)) % 48.34/48.51 (step @p28 :rule refl :args (@t72)) % 48.34/48.51 (step @p29 :rule refl :args (@t73)) % 48.34/48.51 (step @p30 :rule refl :args (@t74)) % 48.34/48.51 (step @p31 :rule refl :args (@t75)) % 48.34/48.51 (step @p32 :rule nary_cong :premises (@p31 @p30 @p29 @p28 @p27) :args (@t90)) % 48.34/48.51 (step @p33 :rule quant-miniscope-or :args ((= @t78 @t90))) % 48.34/48.51 (step @p34 :rule trans :premises (@p33 @p32)) % 48.34/48.51 (step @p35 :rule symm :premises (@p34)) % 48.34/48.51 (step @p36 :rule cong :premises (@p35) :args ((forall @t5 @t109))) % 48.34/48.51 (step @p37 :rule trans :premises (@p36 @p15)) % 48.34/48.51 (step @p38 :rule aci_norm :args ((= (or @t110 @t108) @t109))) % 48.34/48.51 (step @p39 :rule refl :args (@t108)) % 48.34/48.51 (step @p40 :rule aci_norm :args ((= (or @t75 (or @t74 (or @t73 @t72))) @t110))) % 48.34/48.51 (step @p41 :rule bool-and-de-morgan :args (@t51 @t50 true)) % 48.34/48.51 (step @p42 :rule nary_cong :premises (@p30 @p41) :args ((or @t74 (not (and @t51 @t50))))) % 48.34/48.51 (step @p43 :rule bool-and-de-morgan :args (@t52 @t51 (and @t50))) % 48.34/48.51 (step @p44 :rule trans :premises (@p43 @p42)) % 48.34/48.51 (step @p45 :rule nary_cong :premises (@p31 @p44) :args ((or @t75 (not (and @t52 @t51 @t50))))) % 48.34/48.51 (step @p46 :rule bool-and-de-morgan :args (@t22 @t52 (and @t51 @t50))) % 48.34/48.51 (step @p47 :rule trans :premises (@p46 @p45)) % 48.34/48.51 (step @p48 :rule trans :premises (@p47 @p40)) % 48.34/48.51 (step @p49 :rule nary_cong :premises (@p48 @p39) :args ((or @t111 @t108))) % 48.34/48.51 (step @p50 :rule trans :premises (@p49 @p38)) % 48.34/48.51 (step @p51 :rule bool-impl-elim :args (@t53 @t108)) % 48.34/48.51 (step @p52 :rule trans :premises (@p51 @p50)) % 48.34/48.51 (step @p53 :rule cong :premises (@p52) :args ((forall @t5 (=> @t53 @t108)))) % 48.34/48.51 (step @p54 :rule trans :premises (@p53 @p37)) % 48.34/48.51 (step @p55 :rule aci_norm :args ((= @t113 @t96))) % 48.34/48.51 (step @p56 :rule cong :premises (@p55) :args (@t114)) % 48.34/48.51 (step @p57 :rule quant-merge-prenex :args ((= (forall @t35 @t116) @t114))) % 48.34/48.51 (step @p58 :rule alpha_equiv :args (@t117 (@list @t80) @t83)) % 48.34/48.51 (step @p59 :rule refl :args (@t94)) % 48.34/48.51 (step @p60 :rule refl :args (@t95)) % 48.34/48.51 (step @p61 :rule nary_cong :premises (@p60 @p59 @p58) :args (@t118)) % 48.34/48.51 (step @p62 :rule quant-miniscope-or :args ((= @t116 @t118))) % 48.34/48.51 (step @p63 :rule trans :premises (@p62 @p61)) % 48.34/48.51 (step @p64 :rule symm :premises (@p63)) % 48.34/48.51 (step @p65 :rule cong :premises (@p64) :args ((forall @t35 @t123))) % 48.34/48.51 (step @p66 :rule trans :premises (@p65 @p57)) % 48.34/48.51 (step @p67 :rule trans :premises (@p66 @p56)) % 48.34/48.51 (step @p68 :rule aci_norm :args ((= (or (or @t95 @t94) @t122) @t123))) % 48.34/48.51 (step @p69 :rule refl :args (@t122)) % 48.34/48.51 (step @p70 :rule bool-and-de-morgan :args (@t32 @t31 true)) % 48.34/48.51 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or (not @t33) @t122))) % 48.34/48.51 (step @p72 :rule trans :premises (@p71 @p68)) % 48.34/48.51 (step @p73 :rule bool-impl-elim :args (@t33 @t122)) % 48.34/48.51 (step @p74 :rule trans :premises (@p73 @p72)) % 48.34/48.51 (step @p75 :rule cong :premises (@p74) :args ((forall @t35 (=> @t33 @t122)))) % 48.34/48.51 (step @p76 :rule trans :premises (@p75 @p67)) % 48.34/48.51 (step @p77 :rule aci_norm :args ((= (or (or @t100 @t120) @t119) @t121))) % 48.34/48.51 (step @p78 :rule refl :args (@t119)) % 48.34/48.51 (step @p79 :rule bool-and-de-morgan :args (@t27 @t26 true)) % 48.34/48.51 (step @p80 :rule nary_cong :premises (@p79 @p78) :args ((or (not @t28) @t119))) % 48.34/48.51 (step @p81 :rule trans :premises (@p80 @p77)) % 48.34/48.51 (step @p82 :rule bool-impl-elim :args (@t28 @t119)) % 48.34/48.51 (step @p83 :rule trans :premises (@p82 @p81)) % 48.34/48.51 (step @p84 :rule cong :premises (@p83) :args ((forall @t18 (=> @t28 @t119)))) % 48.34/48.51 (step @p85 :rule eq-symm :args (@t25 tptp.real_zero)) % 48.34/48.51 (step @p86 :rule refl :args (@t28)) % 48.34/48.51 (step @p87 :rule cong :premises (@p86 @p85) :args (@t29)) % 48.34/48.51 (step @p88 :rule cong :premises (@p87) :args (@t30)) % 48.34/48.51 (step @p89 :rule trans :premises (@p88 @p84)) % 48.34/48.51 (step @p90 :rule refl :args (@t33)) % 48.34/48.51 (step @p91 :rule cong :premises (@p90 @p89) :args (@t34)) % 48.34/48.51 (step @p92 :rule cong :premises (@p91) :args (@t36)) % 48.34/48.51 (step @p93 :rule trans :premises (@p92 @p76)) % 48.34/48.51 (step @p94 :rule aci_norm :args ((= (or @t124 @t98) @t101))) % 48.34/48.51 (step @p95 :rule refl :args (@t98)) % 48.34/48.51 (step @p96 :rule bool-and-de-morgan :args (@t27 @t38 true)) % 48.34/48.51 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t125 @t98))) % 48.34/48.51 (step @p98 :rule trans :premises (@p97 @p94)) % 48.34/48.51 (step @p99 :rule bool-impl-elim :args (@t39 @t98)) % 48.34/48.51 (step @p100 :rule trans :premises (@p99 @p98)) % 48.34/48.51 (step @p101 :rule cong :premises (@p100) :args ((forall @t18 (=> @t39 @t98)))) % 48.34/48.51 (step @p102 :rule eq-symm :args (@t37 tptp.real_one)) % 48.34/48.51 (step @p103 :rule refl :args (@t39)) % 48.34/48.51 (step @p104 :rule cong :premises (@p103 @p102) :args (@t40)) % 48.34/48.51 (step @p105 :rule cong :premises (@p104) :args (@t41)) % 48.34/48.51 (step @p106 :rule trans :premises (@p105 @p101)) % 48.34/48.51 (step @p107 :rule aci_norm :args ((= @t127 @t106))) % 48.34/48.51 (step @p108 :rule cong :premises (@p107) :args (@t128)) % 48.34/48.51 (step @p109 :rule quant-merge-prenex :args ((= (forall @t35 @t130) @t128))) % 48.34/48.51 (step @p110 :rule alpha_equiv :args (@t131 (@list @t86) @t83)) % 48.34/48.51 (step @p111 :rule refl :args (@t105)) % 48.34/48.51 (step @p112 :rule nary_cong :premises (@p60 @p111 @p110) :args (@t132)) % 48.34/48.51 (step @p113 :rule quant-miniscope-or :args ((= @t130 @t132))) % 48.34/48.51 (step @p114 :rule trans :premises (@p113 @p112)) % 48.34/48.51 (step @p115 :rule symm :premises (@p114)) % 48.34/48.51 (step @p116 :rule cong :premises (@p115) :args ((forall @t35 @t136))) % 48.34/48.51 (step @p117 :rule trans :premises (@p116 @p109)) % 48.34/48.51 (step @p118 :rule trans :premises (@p117 @p108)) % 48.34/48.51 (step @p119 :rule aci_norm :args ((= (or (or @t95 @t105) @t135) @t136))) % 48.34/48.51 (step @p120 :rule refl :args (@t135)) % 48.34/48.51 (step @p121 :rule bool-and-de-morgan :args (@t32 @t45 true)) % 48.34/48.51 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or (not @t46) @t135))) % 48.34/48.51 (step @p123 :rule trans :premises (@p122 @p119)) % 48.34/48.51 (step @p124 :rule bool-impl-elim :args (@t46 @t135)) % 48.34/48.51 (step @p125 :rule trans :premises (@p124 @p123)) % 48.34/48.51 (step @p126 :rule cong :premises (@p125) :args ((forall @t35 (=> @t46 @t135)))) % 48.34/48.51 (step @p127 :rule trans :premises (@p126 @p118)) % 48.34/48.51 (step @p128 :rule aci_norm :args ((= (or @t124 @t133) @t134))) % 48.34/48.51 (step @p129 :rule refl :args (@t133)) % 48.34/48.51 (step @p130 :rule nary_cong :premises (@p96 @p129) :args ((or @t125 @t133))) % 48.34/48.51 (step @p131 :rule trans :premises (@p130 @p128)) % 48.34/48.51 (step @p132 :rule bool-impl-elim :args (@t39 @t133)) % 48.34/48.51 (step @p133 :rule trans :premises (@p132 @p131)) % 48.34/48.51 (step @p134 :rule cong :premises (@p133) :args ((forall @t18 (=> @t39 @t133)))) % 48.34/48.51 (step @p135 :rule eq-symm :args (@t42 tptp.real_zero)) % 48.34/48.51 (step @p136 :rule cong :premises (@p103 @p135) :args (@t43)) % 48.34/48.51 (step @p137 :rule cong :premises (@p136) :args (@t44)) % 48.34/48.51 (step @p138 :rule trans :premises (@p137 @p134)) % 48.34/48.51 (step @p139 :rule refl :args (@t46)) % 48.34/48.51 (step @p140 :rule cong :premises (@p139 @p138) :args (@t47)) % 48.34/48.51 (step @p141 :rule cong :premises (@p140) :args (@t48)) % 48.34/48.51 (step @p142 :rule trans :premises (@p141 @p127)) % 48.34/48.51 (step @p143 :rule nary_cong :premises (@p142 @p106 @p93) :args (@t49)) % 48.34/48.51 (step @p144 :rule refl :args (@t53)) % 48.34/48.51 (step @p145 :rule cong :premises (@p144 @p143) :args (@t54)) % 48.34/48.51 (step @p146 :rule cong :premises (@p145) :args (@t55)) % 48.34/48.51 (step @p147 :rule trans :premises (@p146 @p54)) % 48.34/48.51 (step @p148 :rule eq_resolve :premises (@p12 @p147)) % 48.34/48.51 (step @p149 :rule instantiate :premises (@p148) :args ((@list @t142 @t142 tptp.int_one @t142 @t142 tptp.int_one @t142))) % 48.34/48.51 (step @p150 :rule aci_norm :args ((= (or @t110 @t139) @t140))) % 48.34/48.51 (step @p151 :rule bool-impl-elim :args (@t3 @t137)) % 48.34/48.51 (step @p152 :rule refl :args (@t138)) % 48.34/48.51 (step @p153 :rule bool-double-not-elim :args (@t3)) % 48.34/48.51 (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((or (not @t8) @t138))) % 48.34/48.51 (step @p155 :rule bool-impl-elim :args (@t8 @t138)) % 48.34/48.51 (step @p156 :rule trans :premises (@p155 @p154)) % 48.34/48.51 (step @p157 :rule nary_cong :premises (@p156 @p151) :args (@t143)) % 48.34/48.51 (step @p158 :rule nary_cong :premises (@p48 @p157) :args ((or @t111 @t143))) % 48.34/48.51 (step @p159 :rule trans :premises (@p158 @p150)) % 48.34/48.51 (step @p160 :rule bool-impl-elim :args (@t53 @t143)) % 48.34/48.51 (step @p161 :rule trans :premises (@p160 @p159)) % 48.34/48.51 (step @p162 :rule cong :premises (@p161) :args ((forall @t5 (=> @t53 @t143)))) % 48.34/48.51 (step @p163 :rule eq-symm :args (@t56 tptp.real_one)) % 48.34/48.51 (step @p164 :rule refl :args (@t3)) % 48.34/48.51 (step @p165 :rule cong :premises (@p164 @p163) :args (@t57)) % 48.34/48.51 (step @p166 :rule eq-symm :args (@t56 tptp.real_zero)) % 48.34/48.51 (step @p167 :rule refl :args (@t8)) % 48.34/48.51 (step @p168 :rule cong :premises (@p167 @p166) :args (@t58)) % 48.34/48.51 (step @p169 :rule nary_cong :premises (@p168 @p165) :args (@t59)) % 48.34/48.51 (step @p170 :rule cong :premises (@p144 @p169) :args (@t60)) % 48.34/48.51 (step @p171 :rule cong :premises (@p170) :args (@t61)) % 48.34/48.51 (step @p172 :rule trans :premises (@p171 @p162)) % 48.34/48.51 (step @p173 :rule cong :premises (@p172) :args (@t62)) % 48.34/48.51 (step @p174 :rule eq_resolve :premises (@p13 @p173)) % 48.34/48.51 (step @p175 :rule skolemize :premises (@p174)) % 48.34/48.51 (step @p176 :rule bool-double-not-elim :args (@t144)) % 48.34/48.51 (step @p177 :rule refl :args (@t161)) % 48.34/48.51 (step @p178 :rule nary_cong :premises (@p177 @p176) :args ((or @t161 (not @t158)))) % 48.34/48.51 (step @p179 :rule cnf_or_neg :args (@t161 1)) % 48.34/48.51 (step @p180 :rule eq_resolve :premises (@p179 @p178)) % 48.34/48.51 (step @p181 :rule reordering :premises (@p180) :args ((or @t144 @t161))) % 48.34/48.51 (step @p182 :rule chain_m_resolution :premises (@p181 @p175) :args (@t144 @t162 @t163)) % 48.34/48.51 (step @p183 :rule bool-double-not-elim :args (@t159)) % 48.34/48.51 (step @p184 :rule nary_cong :premises (@p177 @p183) :args ((or @t161 (not @t160)))) % 48.34/48.51 (step @p185 :rule cnf_or_neg :args (@t161 0)) % 48.34/48.51 (step @p186 :rule eq_resolve :premises (@p185 @p184)) % 48.34/48.51 (step @p187 :rule reordering :premises (@p186) :args ((or @t159 @t161))) % 48.34/48.51 (step @p188 :rule chain_m_resolution :premises (@p187 @p175) :args (@t159 @t162 @t163)) % 48.34/48.51 (step @p189 :rule cnf_or_pos :args (@t173)) % 48.34/48.51 (step @p190 :rule factoring :premises (@p189)) % 48.34/48.51 (step @p191 :rule reordering 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eq_resolve :premises (@p393 @p388)) % 48.34/48.51 (assume-push @p668 @t237) % 48.34/48.51 (step @p396 :rule instantiate :premises (@p310) :args ((@list @t145 @t142))) % 48.34/48.51 (step-pop @p669 :rule scope :premises (@p396)) % 48.34/48.51 (step @p397 :rule process_scope :premises (@p669) :args (@t239)) % 48.34/48.51 (step @p399 :rule implies_elim :premises (@p397)) % 48.34/48.51 (step @p400 :rule cnf_equiv_pos1 :args (@t239)) % 48.34/48.51 (step @p401 :rule reordering :premises (@p400) :args ((or @t240 @t236 (not @t239)))) % 48.34/48.51 (step @p402 :rule instantiate :premises (@p310) :args (@t241)) % 48.34/48.51 (step @p403 :rule cnf_equiv_pos1 :args (@t246)) % 48.34/48.51 (step @p404 :rule reordering :premises (@p403) :args ((or @t247 @t244 (not @t246)))) % 48.34/48.51 (step @p405 :rule refl :args (@t253)) % 48.34/48.51 (step @p406 :rule bool-double-not-elim :args (@t243)) % 48.34/48.51 (step @p407 :rule nary_cong :premises (@p406 @p405) :args ((or (not @t244) @t253))) % 48.34/48.51 (assume-push @p670 @t244) % 48.34/48.51 (step @p409 :rule skolemize :premises (@p670)) % 48.34/48.51 (step-pop @p671 :rule scope :premises (@p409)) % 48.34/48.51 (step @p410 :rule process_scope :premises (@p671) :args (@t253)) % 48.34/48.51 (step @p412 :rule implies_elim :premises (@p410)) % 48.34/48.51 (step @p413 :rule eq_resolve :premises (@p412 @p407)) % 48.34/48.51 (step @p414 :rule bool-double-not-elim :args (@t250)) % 48.34/48.51 (step @p415 :rule refl :args (@t252)) % 48.34/48.51 (step @p416 :rule nary_cong :premises (@p415 @p414) :args ((or @t252 (not @t251)))) % 48.34/48.51 (step @p417 :rule cnf_or_neg :args (@t252 0)) % 48.34/48.51 (step @p418 :rule eq_resolve :premises (@p417 @p416)) % 48.34/48.51 (step @p419 :rule reordering :premises (@p418) :args ((or @t250 @t252))) % 48.34/48.51 (assume-push @p672 @t237) % 48.34/48.51 (step-pop @p673 :rule scope :premises (@p311)) % 48.34/48.51 (step @p421 :rule process_scope :premises (@p673) :args (@t211)) % 48.34/48.51 (step @p423 :rule implies_elim :premises (@p421)) % 48.34/48.51 (step @p424 :rule refl :args (@t258)) % 48.34/48.51 (step @p425 :rule refl :args (@t260)) % 48.34/48.51 (step @p426 :rule refl :args (@t251)) % 48.34/48.51 (step @p427 :rule nary_cong :premises (@p217 @p426 @p425 @p424) :args ((or @t180 @t251 @t260 @t258))) % 48.34/48.51 (assume-push @p674 @t149) % 48.34/48.51 (assume-push @p675 @t250) % 48.34/48.51 (assume-push @p676 @t259) % 48.34/48.51 (assume-push @p677 @t149) % 48.34/48.51 (assume-push @p678 @t250) % 48.34/48.51 (assume-push @p679 @t259) % 48.34/48.51 (step @p434 :rule false_intro :premises (@p674)) % 48.34/48.51 (step @p435 :rule symm :premises (@p676)) % 48.34/48.51 (step @p436 :rule symm :premises (@p675)) % 48.34/48.51 (step @p437 :rule cong :premises (@p436 @p435) :args (@t257)) % 48.34/48.51 (step @p438 :rule trans :premises (@p437 @p434)) % 48.34/48.51 (step @p439 :rule false_elim :premises (@p438)) % 48.34/48.51 (step-pop @p680 :rule scope :premises (@p439)) % 48.34/48.51 (step-pop @p681 :rule scope :premises (@p680)) % 48.34/48.51 (step-pop @p682 :rule scope :premises (@p681)) % 48.34/48.51 (step @p440 :rule process_scope :premises (@p682) :args (@t258)) % 48.34/48.51 (step @p444 :rule and_intro :premises (@p674 @p675 @p676)) % 48.34/48.51 (step @p445 :rule modus_ponens :premises (@p444 @p440)) % 48.34/48.51 (step-pop @p683 :rule scope :premises (@p445)) % 48.34/48.51 (step-pop @p684 :rule scope :premises (@p683)) % 48.34/48.51 (step-pop @p685 :rule scope :premises (@p684)) % 48.34/48.51 (step @p446 :rule process_scope :premises (@p685) :args (@t258)) % 48.34/48.51 (step @p450 :rule implies_elim :premises (@p446)) % 48.34/48.51 (step @p451 :rule cnf_and_neg :args (@t261)) % 48.34/48.51 (step @p452 :rule resolution :premises (@p451 @p450) :args (true @t261)) % 48.34/48.51 (step @p453 :rule eq_resolve :premises (@p452 @p427)) % 48.34/48.51 (step @p454 :rule refl :args (@t263)) % 48.34/48.51 (step @p455 :rule bool-double-not-elim :args (@t210)) % 48.34/48.51 (step @p456 :rule nary_cong :premises (@p426 @p425 @p455 @p454) :args ((or @t251 @t260 @t264 @t263))) % 48.34/48.51 (assume-push @p686 @t250) % 48.34/48.51 (assume-push @p687 @t259) % 48.34/48.51 (assume-push @p688 @t212) % 48.34/48.51 (assume-push @p689 @t212) % 48.34/48.51 (assume-push @p690 @t250) % 48.34/48.51 (assume-push @p691 @t259) % 48.34/48.51 (step @p463 :rule false_intro :premises (@p688)) % 48.34/48.51 (step @p464 :rule symm :premises (@p687)) % 48.34/48.51 (step @p465 :rule symm :premises (@p686)) % 48.34/48.51 (step @p466 :rule cong :premises (@p465 @p464) :args (@t262)) % 48.34/48.51 (step @p467 :rule trans :premises (@p466 @p463)) % 48.34/48.51 (step @p468 :rule false_elim :premises (@p467)) % 48.34/48.51 (step-pop @p692 :rule scope :premises (@p468)) % 48.34/48.51 (step-pop @p693 :rule scope :premises (@p692)) % 48.34/48.51 (step-pop @p694 :rule scope :premises (@p693)) % 48.34/48.51 (step @p469 :rule process_scope :premises (@p694) :args (@t263)) % 48.34/48.51 (step @p473 :rule and_intro :premises (@p688 @p686 @p687)) % 48.34/48.51 (step @p474 :rule modus_ponens :premises (@p473 @p469)) % 48.34/48.51 (step-pop @p695 :rule scope :premises (@p474)) % 48.34/48.51 (step-pop @p696 :rule scope :premises (@p695)) % 48.34/48.51 (step-pop @p697 :rule scope :premises (@p696)) % 48.34/48.51 (step @p475 :rule process_scope :premises (@p697) :args (@t263)) % 48.34/48.51 (step @p479 :rule implies_elim :premises (@p475)) % 48.34/48.51 (step @p480 :rule cnf_and_neg :args (@t265)) % 48.34/48.51 (step @p481 :rule resolution :premises (@p480 @p479) :args (true @t265)) % 48.34/48.51 (step @p482 :rule eq_resolve :premises (@p481 @p456)) % 48.34/48.51 (step @p483 :rule refl :args (@t267)) % 48.34/48.51 (step @p484 :rule bool-double-not-elim :args (@t238)) % 48.34/48.51 (step @p485 :rule nary_cong :premises (@p426 @p425 @p484 @p483) :args ((or @t251 @t260 @t268 @t267))) % 48.34/48.51 (assume-push @p698 @t250) % 48.34/48.51 (assume-push @p699 @t259) % 48.34/48.51 (assume-push @p700 @t240) % 48.34/48.51 (assume-push @p701 @t240) % 48.34/48.51 (assume-push @p702 @t259) % 48.34/48.51 (assume-push @p703 @t250) % 48.34/48.51 (step @p492 :rule false_intro :premises (@p700)) % 48.34/48.51 (step @p493 :rule symm :premises (@p698)) % 48.34/48.51 (step @p494 :rule symm :premises (@p699)) % 48.34/48.51 (step @p495 :rule cong :premises (@p494 @p493) :args (@t266)) % 48.34/48.51 (step @p496 :rule trans :premises (@p495 @p492)) % 48.34/48.51 (step @p497 :rule false_elim :premises (@p496)) % 48.34/48.51 (step-pop @p704 :rule scope :premises (@p497)) % 48.34/48.51 (step-pop @p705 :rule scope :premises (@p704)) % 48.34/48.51 (step-pop @p706 :rule scope :premises (@p705)) % 48.34/48.51 (step @p498 :rule process_scope :premises (@p706) :args (@t267)) % 48.34/48.51 (step @p502 :rule and_intro :premises (@p700 @p699 @p698)) % 48.34/48.51 (step @p503 :rule modus_ponens :premises (@p502 @p498)) % 48.34/48.51 (step-pop @p707 :rule scope :premises (@p503)) % 48.34/48.51 (step-pop @p708 :rule scope :premises (@p707)) % 48.34/48.51 (step-pop @p709 :rule scope :premises (@p708)) % 48.34/48.51 (step @p504 :rule process_scope :premises (@p709) :args (@t267)) % 48.34/48.51 (step @p508 :rule implies_elim :premises (@p504)) % 48.34/48.51 (step @p509 :rule cnf_and_neg :args (@t269)) % 48.34/48.51 (step @p510 :rule resolution :premises (@p509 @p508) :args (true @t269)) % 48.34/48.51 (step @p511 :rule eq_resolve :premises (@p510 @p485)) % 48.34/48.51 (step @p512 :rule cnf_or_pos :args (@t270)) % 48.34/48.51 (step @p513 :rule reordering :premises (@p512) :args ((or @t262 @t257 (not @t270)))) % 48.34/48.51 (step @p514 :rule instantiate :premises (@p4) :args ((@list @t256 @t249))) % 48.34/48.51 (step @p515 :rule cnf_or_pos :args (@t272)) % 48.34/48.51 (step @p516 :rule reordering :premises (@p515) :args ((or @t271 @t266 (not @t272)))) % 48.34/48.51 (step @p517 :rule instantiate :premises (@p1) :args ((@list @t249 @t256))) % 48.34/48.51 (step @p518 :rule cnf_equiv_pos1 :args (@t273)) % 48.34/48.51 (step @p519 :rule reordering :premises (@p518) :args ((or (not @t271) @t270 (not @t273)))) % 48.34/48.51 (step @p520 :rule chain_m_resolution :premises (@p519 @p517 @p516 @p514 @p513 @p511 @p482 @p453 @p313 @p423 @p296 @p287 @p401 @p399 @p310 @p394 @p385 @p226 @p225 @p223 @p321 @p174 @p222) :args ((or @t148 @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 @t182 @t189 @t238 @t239 @t237 @t215 @t222 @t151 @t152 @t153 @t161 @t141 @t150))) % 48.34/48.51 (step @p521 :rule bool-double-not-elim :args (@t259)) % 48.34/48.51 (step @p522 :rule refl :args (@t274)) % 48.34/48.51 (step @p523 :rule nary_cong :premises (@p522 @p521) :args ((or @t274 (not @t260)))) % 48.34/48.51 (step @p524 :rule cnf_or_neg :args (@t274 0)) % 48.34/48.51 (step @p525 :rule eq_resolve :premises (@p524 @p523)) % 48.34/48.51 (step @p526 :rule reordering :premises (@p525) :args ((or @t259 @t274))) % 48.34/48.51 (step @p527 :rule refl :args (@t275)) % 48.34/48.51 (step @p528 :rule bool-double-not-elim :args (@t254)) % 48.34/48.51 (step @p529 :rule nary_cong :premises (@p528 @p527) :args ((or (not @t276) @t275))) % 48.34/48.51 (assume-push @p710 @t276) % 48.34/48.51 (step @p531 :rule skolemize :premises (@p710)) % 48.34/48.51 (step-pop @p711 :rule scope :premises (@p531)) % 48.34/48.51 (step @p532 :rule process_scope :premises (@p711) :args (@t275)) % 48.34/48.51 (step @p534 :rule implies_elim :premises (@p532)) % 48.34/48.51 (step @p535 :rule eq_resolve :premises (@p534 @p529)) % 48.34/48.51 (step @p536 :rule instantiate :premises (@p310) :args (@t277)) % 48.34/48.51 (step @p537 :rule cnf_equiv_pos1 :args (@t279)) % 48.34/48.51 (step @p538 :rule reordering :premises (@p537) :args ((or @t280 @t276 (not @t279)))) % 48.34/48.51 (step @p539 :rule instantiate :premises (@p1) :args (@t277)) % 48.34/48.51 (step @p540 :rule cnf_equiv_pos1 :args (@t283)) % 48.34/48.51 (step @p541 :rule reordering :premises (@p540) :args ((or @t157 @t282 (not @t283)))) % 48.34/48.51 (step @p542 :rule chain_m_resolution :premises (@p541 @p250 @p539) :args (@t282 @t284 (@list @t156 @t283))) % 48.34/48.51 (step @p543 :rule cnf_or_pos :args (@t282)) % 48.34/48.51 (step @p544 :rule reordering :premises (@p543) :args ((or @t278 @t281 (not @t282)))) % 48.34/48.51 (step @p545 :rule refl :args (@t285)) % 48.34/48.51 (step @p546 :rule refl :args (@t247)) % 48.34/48.51 (step @p547 :rule nary_cong :premises (@p546 @p545 @p484) :args ((or @t247 @t285 @t268))) % 48.34/48.51 (assume-push @p712 @t245) % 48.34/48.51 (assume-push @p713 @t281) % 48.34/48.51 (assume-push @p714 @t240) % 48.34/48.51 (step @p551 :rule evaluate :args ((= false true))) % 48.34/48.51 (step @p552 :rule true_intro :premises (@p712)) % 48.34/48.51 (step @p269 :rule refl :args (@t142)) % 48.34/48.51 (step @p553 :rule symm :premises (@p713)) % 48.34/48.51 (step @p554 :rule cong :premises (@p553 @p269) :args (@t238)) % 48.34/48.51 (step @p555 :rule false_intro :premises (@p714)) % 48.34/48.51 (step @p556 :rule symm :premises (@p555)) % 48.34/48.51 (step @p557 :rule trans :premises (@p556 @p554 @p552)) % 48.34/48.51 (step @p558 false :rule eq_resolve :premises (@p557 @p551)) % 48.34/48.51 (step-pop @p715 :rule scope :premises (@p558)) % 48.34/48.51 (step-pop @p716 :rule scope :premises (@p715)) % 48.34/48.51 (step-pop @p717 :rule scope :premises (@p716)) % 48.34/48.51 (step @p559 :rule process_scope :premises (@p717) :args (false)) % 48.34/48.51 (step @p563 :rule not_and :premises (@p559)) % 48.34/48.51 (step @p564 :rule eq_resolve :premises (@p563 @p547)) % 48.34/48.51 (step @p565 :rule chain_m_resolution :premises (@p564 @p544 @p542 @p538 @p536 @p535 @p526 @p520 @p419 @p413 @p404 @p402 @p401 @p399 @p310 @p394 @p385 @p226 @p225 @p223 @p321 @p174 @p222) :args ((or @t148 @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 @t151 @t152 @t153 @t161 @t141 @t150))) % 48.34/48.51 (step @p566 :rule instantiate :premises (@p1) :args (@t241)) % 48.34/48.51 (step @p567 :rule cnf_equiv_pos1 :args (@t288)) % 48.34/48.51 (step @p568 :rule reordering :premises (@p567) :args ((or @t160 @t287 (not @t288)))) % 48.34/48.51 (step @p569 :rule chain_m_resolution :premises (@p568 @p188 @p566) :args (@t287 @t284 (@list @t159 @t288))) % 48.34/48.51 (step @p570 :rule cnf_or_pos :args (@t287)) % 48.34/48.51 (step @p571 :rule reordering :premises (@p570) :args ((or @t245 @t286 (not @t287)))) % 48.34/48.51 (step @p572 :rule refl :args (@t289)) % 48.34/48.51 (step @p573 :rule nary_cong :premises (@p217 @p572 @p545) :args ((or @t180 @t289 @t285))) % 48.34/48.51 (assume-push @p718 @t149) % 48.34/48.51 (assume-push @p719 @t286) % 48.34/48.51 (assume-push @p720 @t149) % 48.34/48.51 (assume-push @p721 @t286) % 48.34/48.51 (step @p578 :rule false_intro :premises (@p718)) % 48.34/48.51 (step @p367 :rule refl :args (@t145)) % 48.34/48.51 (step @p579 :rule cong :premises (@p719 @p367) :args (@t281)) % 48.34/48.51 (step @p580 :rule trans :premises (@p579 @p578)) % 48.34/48.51 (step @p581 :rule false_elim :premises (@p580)) % 48.34/48.51 (step-pop @p722 :rule scope :premises (@p581)) % 48.34/48.51 (step-pop @p723 :rule scope :premises (@p722)) % 48.34/48.51 (step @p582 :rule process_scope :premises (@p723) :args (@t285)) % 48.34/48.51 (step @p585 :rule and_intro :premises (@p718 @p719)) % 48.34/48.51 (step @p586 :rule modus_ponens :premises (@p585 @p582)) % 48.34/48.51 (step-pop @p724 :rule scope :premises (@p586)) % 48.34/48.51 (step-pop @p725 :rule scope :premises (@p724)) % 48.34/48.51 (step @p587 :rule process_scope :premises (@p725) :args (@t285)) % 48.34/48.51 (step @p590 :rule implies_elim :premises (@p587)) % 48.34/48.51 (step @p591 :rule cnf_and_neg :args (@t290)) % 48.34/48.51 (step @p592 :rule resolution :premises (@p591 @p590) :args (true @t290)) % 48.34/48.51 (step @p593 :rule eq_resolve :premises (@p592 @p573)) % 48.34/48.51 (step @p594 :rule refl :args (@t280)) % 48.34/48.51 (step @p595 :rule nary_cong :premises (@p572 @p455 @p594) :args ((or @t289 @t264 @t280))) % 48.34/48.51 (assume-push @p726 @t286) % 48.34/48.51 (assume-push @p727 @t212) % 48.34/48.51 (assume-push @p728 @t212) % 48.34/48.51 (assume-push @p729 @t286) % 48.34/48.51 (step @p600 :rule false_intro :premises (@p727)) % 48.34/48.51 (step @p367 :rule refl :args (@t145)) % 48.34/48.51 (step @p601 :rule cong :premises (@p726 @p367) :args (@t278)) % 48.34/48.51 (step @p602 :rule trans :premises (@p601 @p600)) % 48.34/48.51 (step @p603 :rule false_elim :premises (@p602)) % 48.34/48.51 (step-pop @p730 :rule scope :premises (@p603)) % 48.34/48.51 (step-pop @p731 :rule scope :premises (@p730)) % 48.34/48.51 (step @p604 :rule process_scope :premises (@p731) :args (@t280)) % 48.34/48.51 (step @p607 :rule and_intro :premises (@p727 @p726)) % 48.34/48.51 (step @p608 :rule modus_ponens :premises (@p607 @p604)) % 48.34/48.51 (step-pop @p732 :rule scope :premises (@p608)) % 48.34/48.51 (step-pop @p733 :rule scope :premises (@p732)) % 48.34/48.51 (step @p609 :rule process_scope :premises (@p733) :args (@t280)) % 48.34/48.51 (step @p612 :rule implies_elim :premises (@p609)) % 48.34/48.51 (step @p613 :rule cnf_and_neg :args (@t291)) % 48.34/48.51 (step @p614 :rule resolution :premises (@p613 @p612) :args (true @t291)) % 48.34/48.51 (step @p615 :rule eq_resolve :premises (@p614 @p595)) % 48.34/48.51 (step @p616 :rule reordering :premises (@p615) :args ((or @t289 @t280 @t210))) % 48.34/48.51 (step @p617 :rule chain_m_resolution :premises (@p544 @p542 @p616 @p593 @p571 @p569 @p565 @p313 @p311 @p296 @p287 @p226 @p225 @p224 @p222) :args (@t148 (@list false true true false false true true false false false true true true false) (@list @t282 @t278 @t281 @t286 @t287 @t245 @t210 @t211 @t182 @t189 @t151 @t152 @t153 @t150))) % 48.34/48.51 (step @p618 :rule cnf_or_neg :args (@t152 0)) % 48.34/48.51 (step @p619 :rule chain_m_resolution :premises (@p618 @p617) :args (@t152 @t175 (@list @t148))) % 48.34/48.51 (step @p620 :rule chain_m_resolution :premises (@p225 @p224 @p619) :args ((not @t150) (@list true false) (@list @t153 @t152))) % 48.34/48.51 (step @p621 :rule cnf_or_neg :args (@t150 1)) % 48.34/48.51 (step @p622 :rule chain_m_resolution :premises (@p621 @p620) :args ((not @t147) @t162 (@list @t150))) % 48.34/48.51 (assume-push @p734 @t148) % 48.34/48.51 (assume-push @p735 @t170) % 48.34/48.51 (assume-push @p736 @t148) % 48.34/48.51 (assume-push @p737 @t170) % 48.34/48.51 (step @p269 :rule refl :args (@t142)) % 48.34/48.51 (step @p627 :rule cong :premises (@p269 @p734) :args (@t169)) % 48.34/48.51 (step @p628 :rule trans :premises (@p216 @p627)) % 48.34/48.51 (step-pop @p738 :rule scope :premises (@p628)) % 48.34/48.51 (step-pop @p739 :rule scope :premises (@p738)) % 48.34/48.51 (step @p629 :rule process_scope :premises (@p739) :args (@t147)) % 48.34/48.51 (step @p632 :rule and_intro :premises (@p734 @p216)) % 48.34/48.51 (step @p633 :rule modus_ponens :premises (@p632 @p629)) % 48.34/48.51 (step-pop @p740 :rule scope :premises (@p633)) % 48.34/48.51 (step-pop @p741 :rule scope :premises (@p740)) % 48.34/48.51 (step @p634 :rule process_scope :premises (@p741) :args (@t147)) % 48.34/48.51 (step @p637 :rule implies_elim :premises (@p634)) % 48.34/48.51 (step @p638 :rule cnf_and_neg :args (@t292)) % 48.34/48.51 (step @p639 :rule resolution :premises (@p638 @p637) :args (true @t292)) % 48.34/48.51 (step @p640 :rule reordering :premises (@p639) :args ((or @t149 @t147 (not @t170)))) % 48.34/48.51 (step @p641 false :rule chain_m_resolution :premises (@p640 @p622 @p617 @p216) :args (false (@list true false false) (@list @t147 @t148 @t170))) % 48.34/48.51 ) % 48.34/48.51 % SZS output end Proof % 48.34/48.51 % cvc5 exiting %------------------------------------------------------------------------------