%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV486+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:01:39 AM UTC 2026 % Result : Theorem 33.60s 33.85s % Output : Proof 33.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWV486+3 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 15:20:00 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.32 %----Proving TF0_NAR, FOF, or CNF % 33.60/33.85 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.60/33.85 --- Run --no-e-matching --full-saturate-quant at 6... % 33.60/33.85 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.60/33.85 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.60/33.85 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.60/33.85 % SZS status Theorem % 33.60/33.85 % SZS output start Proof % 33.60/33.85 ( % 33.60/33.85 (declare-sort $$unsorted 0) % 33.60/33.85 (declare-const tptp.n $$unsorted) % 33.60/33.85 (declare-const tptp.real_one $$unsorted) % 33.60/33.85 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 33.60/33.85 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 33.60/33.85 (declare-const tptp.real_zero $$unsorted) % 33.60/33.85 (declare-const tptp.int_zero $$unsorted) % 33.60/33.85 (declare-const tptp.int_one $$unsorted) % 33.60/33.85 (declare-const tptp.int_leq (-> $$unsorted $$unsorted Bool)) % 33.60/33.85 (declare-const tptp.int_less (-> $$unsorted $$unsorted Bool)) % 33.60/33.85 (define @t1 () (@var "J" $$unsorted)) % 33.60/33.85 (define @t2 () (@var "I" $$unsorted)) % 33.60/33.85 (define @t3 () (= @t2 @t1)) % 33.60/33.85 (define @t4 () (tptp.int_less @t2 @t1)) % 33.60/33.85 (define @t5 () (@list @t2 @t1)) % 33.60/33.85 (define @t6 () (forall @t5 (= (tptp.int_leq @t2 @t1) (or @t4 @t3)))) % 33.60/33.85 (define @t7 () (@var "K" $$unsorted)) % 33.60/33.85 (define @t8 () (tptp.int_less @t2 @t7)) % 33.60/33.85 (define @t9 () (tptp.int_less @t1 @t7)) % 33.60/33.85 (define @t10 () (and @t4 @t9)) % 33.60/33.85 (define @t11 () (forall (@list @t2 @t1 @t7) (=> @t10 @t8))) % 33.60/33.85 (define @t12 () (tptp.int_less tptp.int_zero tptp.int_one)) % 33.60/33.85 (define @t13 () (tptp.plus @t2 tptp.int_zero)) % 33.60/33.85 (define @t14 () (@list @t2)) % 33.60/33.85 (define @t15 () (forall @t14 (= @t13 @t2))) % 33.60/33.85 (define @t16 () (@var "J2" $$unsorted)) % 33.60/33.85 (define @t17 () (@var "J1" $$unsorted)) % 33.60/33.85 (define @t18 () (@var "I2" $$unsorted)) % 33.60/33.85 (define @t19 () (@var "I1" $$unsorted)) % 33.60/33.85 (define @t20 () (tptp.int_leq (tptp.plus @t19 @t18) (tptp.plus @t17 @t16))) % 33.60/33.85 (define @t21 () (tptp.int_leq @t18 @t16)) % 33.60/33.85 (define @t22 () (tptp.int_less @t19 @t17)) % 33.60/33.85 (define @t23 () (and @t22 @t21)) % 33.60/33.85 (define @t24 () (forall (@list @t19 @t17 @t18 @t16) (=> @t23 @t20))) % 33.60/33.85 (define @t25 () (tptp.int_less tptp.int_zero @t7)) % 33.60/33.85 (define @t26 () (tptp.plus @t2 @t7)) % 33.60/33.85 (define @t27 () (and (= @t26 @t1) @t25)) % 33.60/33.85 (define @t28 () (@list @t7)) % 33.60/33.85 (define @t29 () (exists @t28 @t27)) % 33.60/33.85 (define @t30 () (= @t4 @t29)) % 33.60/33.85 (define @t31 () (forall @t5 @t30)) % 33.60/33.85 (define @t32 () (tptp.int_leq tptp.int_one @t2)) % 33.60/33.85 (define @t33 () (forall @t14 (= (tptp.int_less tptp.int_zero @t2) @t32))) % 33.60/33.85 (define @t34 () (@var "C" $$unsorted)) % 33.60/33.85 (define @t35 () (tptp.plus @t7 @t34)) % 33.60/33.85 (define @t36 () (tptp.a @t7 @t35)) % 33.60/33.85 (define @t37 () (tptp.int_leq @t7 @t2)) % 33.60/33.85 (define @t38 () (tptp.int_leq tptp.int_one @t7)) % 33.60/33.85 (define @t39 () (and @t38 @t37)) % 33.60/33.85 (define @t40 () (=> @t39 (= @t36 tptp.real_zero))) % 33.60/33.85 (define @t41 () (forall @t28 @t40)) % 33.60/33.85 (define @t42 () (= @t1 (tptp.plus @t2 @t34))) % 33.60/33.85 (define @t43 () (tptp.int_less tptp.int_zero @t34)) % 33.60/33.85 (define @t44 () (and @t43 @t42)) % 33.60/33.85 (define @t45 () (=> @t44 @t41)) % 33.60/33.85 (define @t46 () (@list @t34)) % 33.60/33.85 (define @t47 () (forall @t46 @t45)) % 33.60/33.85 (define @t48 () (tptp.a @t7 @t7)) % 33.60/33.85 (define @t49 () (tptp.int_leq @t7 @t1)) % 33.60/33.85 (define @t50 () (and @t38 @t49)) % 33.60/33.85 (define @t51 () (=> @t50 (= @t48 tptp.real_one))) % 33.60/33.85 (define @t52 () (forall @t28 @t51)) % 33.60/33.85 (define @t53 () (tptp.a @t35 @t7)) % 33.60/33.85 (define @t54 () (=> @t50 (= @t53 tptp.real_zero))) % 33.60/33.85 (define @t55 () (forall @t28 @t54)) % 33.60/33.85 (define @t56 () (= @t2 (tptp.plus @t1 @t34))) % 33.60/33.85 (define @t57 () (and @t43 @t56)) % 33.60/33.85 (define @t58 () (=> @t57 @t55)) % 33.60/33.85 (define @t59 () (forall @t46 @t58)) % 33.60/33.85 (define @t60 () (and @t59 @t52 @t47)) % 33.60/33.85 (define @t61 () (tptp.int_leq @t1 tptp.n)) % 33.60/33.85 (define @t62 () (tptp.int_leq tptp.int_one @t1)) % 33.60/33.85 (define @t63 () (tptp.int_leq @t2 tptp.n)) % 33.60/33.85 (define @t64 () (and @t32 @t63 @t62 @t61)) % 33.60/33.85 (define @t65 () (=> @t64 @t60)) % 33.60/33.85 (define @t66 () (forall @t5 @t65)) % 33.60/33.85 (define @t67 () (tptp.a @t2 @t1)) % 33.60/33.85 (define @t68 () (and @t32 @t4 @t61)) % 33.60/33.85 (define @t69 () (=> @t68 (= @t67 tptp.real_zero))) % 33.60/33.85 (define @t70 () (forall @t5 @t69)) % 33.60/33.85 (define @t71 () (not @t70)) % 33.60/33.85 (define @t72 () (= tptp.real_zero @t67)) % 33.60/33.85 (define @t73 () (not @t61)) % 33.60/33.85 (define @t74 () (not @t4)) % 33.60/33.85 (define @t75 () (not @t32)) % 33.60/33.85 (define @t76 () (or @t75 @t74 @t73 @t72)) % 33.60/33.85 (define @t77 () (or @t75 @t74 @t73)) % 33.60/33.85 (define @t78 () (forall @t5 @t76)) % 33.60/33.85 (define @t79 () (@quantifiers_skolemize @t78 1)) % 33.60/33.85 (define @t80 () (@quantifiers_skolemize @t78 0)) % 33.60/33.85 (define @t81 () (tptp.int_less @t80 @t79)) % 33.60/33.85 (define @t82 () (= tptp.real_zero (tptp.a @t80 @t79))) % 33.60/33.85 (define @t83 () (tptp.int_leq @t79 tptp.n)) % 33.60/33.85 (define @t84 () (not @t83)) % 33.60/33.85 (define @t85 () (not @t81)) % 33.60/33.85 (define @t86 () (tptp.int_leq tptp.int_one @t80)) % 33.60/33.85 (define @t87 () (not @t86)) % 33.60/33.85 (define @t88 () (or @t87 @t85 @t84 @t82)) % 33.60/33.85 (define @t89 () (@list true)) % 33.60/33.85 (define @t90 () (@list @t88)) % 33.60/33.85 (define @t91 () (tptp.int_less @t79 tptp.n)) % 33.60/33.85 (define @t92 () (or @t91 (= @t79 tptp.n))) % 33.60/33.85 (define @t93 () (= @t83 @t92)) % 33.60/33.85 (define @t94 () (= tptp.n @t79)) % 33.60/33.85 (define @t95 () (or @t91 @t94)) % 33.60/33.85 (define @t96 () (= @t83 @t95)) % 33.60/33.85 (define @t97 () (@list false)) % 33.60/33.85 (define @t98 () (@list @t6)) % 33.60/33.85 (define @t99 () (@list false false)) % 33.60/33.85 (define @t100 () (not @t9)) % 33.60/33.85 (define @t101 () (tptp.int_less @t80 tptp.n)) % 33.60/33.85 (define @t102 () (or @t101 (= @t80 tptp.n))) % 33.60/33.85 (define @t103 () (tptp.int_leq @t80 tptp.n)) % 33.60/33.85 (define @t104 () (= @t103 @t102)) % 33.60/33.85 (define @t105 () (or @t101 (= tptp.n @t80))) % 33.60/33.85 (define @t106 () (= @t103 @t105)) % 33.60/33.85 (define @t107 () (@var "BOUND_VARIABLE_7670" $$unsorted)) % 33.60/33.85 (define @t108 () (@var "BOUND_VARIABLE_7672" $$unsorted)) % 33.60/33.85 (define @t109 () (or (not (tptp.int_less tptp.int_zero @t107)) (not (= @t1 (tptp.plus @t2 @t107))) (not (tptp.int_leq tptp.int_one @t108)) (not (tptp.int_leq @t108 @t2)) (= tptp.real_zero (tptp.a @t108 (tptp.plus @t108 @t107))))) % 33.60/33.85 (define @t110 () (@var "BOUND_VARIABLE_7661" $$unsorted)) % 33.60/33.85 (define @t111 () (or (not (tptp.int_leq tptp.int_one @t110)) (not (tptp.int_leq @t110 @t1)) (= tptp.real_one (tptp.a @t110 @t110)))) % 33.60/33.85 (define @t112 () (@var "BOUND_VARIABLE_7646" $$unsorted)) % 33.60/33.85 (define @t113 () (@var "BOUND_VARIABLE_7644" $$unsorted)) % 33.60/33.85 (define @t114 () (or (not (tptp.int_less tptp.int_zero @t113)) (not (= @t2 (tptp.plus @t1 @t113))) (not (tptp.int_leq tptp.int_one @t112)) (not (tptp.int_leq @t112 @t1)) (= tptp.real_zero (tptp.a (tptp.plus @t112 @t113) @t112)))) % 33.60/33.85 (define @t115 () (and @t114 @t111 @t109)) % 33.60/33.85 (define @t116 () (not @t62)) % 33.60/33.85 (define @t117 () (not @t63)) % 33.60/33.85 (define @t118 () (or @t75 @t117 @t116 @t73 @t115)) % 33.60/33.85 (define @t119 () (forall (@list @t2 @t1 @t113 @t112 @t110 @t107 @t108) @t118)) % 33.60/33.85 (define @t120 () (@list @t113 @t112 @t110 @t107 @t108)) % 33.60/33.85 (define @t121 () (forall @t120 @t118)) % 33.60/33.85 (define @t122 () (forall (@list @t107 @t108) @t109)) % 33.60/33.85 (define @t123 () (@var "BOUND_VARIABLE_7618" $$unsorted)) % 33.60/33.85 (define @t124 () (forall @t120 @t109)) % 33.60/33.85 (define @t125 () (forall (@list @t110) @t111)) % 33.60/33.85 (define @t126 () (@list @t7)) % 33.60/33.85 (define @t127 () (forall @t120 @t111)) % 33.60/33.85 (define @t128 () (forall (@list @t113 @t112) @t114)) % 33.60/33.85 (define @t129 () (@var "BOUND_VARIABLE_7583" $$unsorted)) % 33.60/33.85 (define @t130 () (forall @t120 @t114)) % 33.60/33.85 (define @t131 () (and @t130 @t127 @t124)) % 33.60/33.85 (define @t132 () (forall @t120 @t115)) % 33.60/33.85 (define @t133 () (or @t75 @t117 @t116 @t73 @t132)) % 33.60/33.85 (define @t134 () (= tptp.real_zero (tptp.a @t123 (tptp.plus @t123 @t34)))) % 33.60/33.85 (define @t135 () (not (tptp.int_leq @t123 @t2))) % 33.60/33.85 (define @t136 () (not (tptp.int_leq tptp.int_one @t123))) % 33.60/33.85 (define @t137 () (not @t42)) % 33.60/33.85 (define @t138 () (not @t43)) % 33.60/33.85 (define @t139 () (or @t138 @t137 @t136 @t135 @t134)) % 33.60/33.85 (define @t140 () (@list @t34 @t123)) % 33.60/33.85 (define @t141 () (= tptp.real_one @t48)) % 33.60/33.85 (define @t142 () (not @t49)) % 33.60/33.85 (define @t143 () (not @t38)) % 33.60/33.85 (define @t144 () (or @t143 @t142 @t141)) % 33.60/33.85 (define @t145 () (= tptp.real_zero (tptp.a (tptp.plus @t129 @t34) @t129))) % 33.60/33.85 (define @t146 () (not (tptp.int_leq @t129 @t1))) % 33.60/33.85 (define @t147 () (not (tptp.int_leq tptp.int_one @t129))) % 33.60/33.85 (define @t148 () (not @t56)) % 33.60/33.85 (define @t149 () (or @t138 @t148 @t147 @t146 @t145)) % 33.60/33.85 (define @t150 () (@list @t34 @t129)) % 33.60/33.85 (define @t151 () (and (forall @t150 @t149) (forall @t28 @t144) (forall @t140 @t139))) % 33.60/33.85 (define @t152 () (or @t75 @t117 @t116 @t73 @t151)) % 33.60/33.85 (define @t153 () (or @t75 @t117 @t116 @t73)) % 33.60/33.85 (define @t154 () (or @t136 @t135 @t134)) % 33.60/33.85 (define @t155 () (or @t138 @t137 @t154)) % 33.60/33.85 (define @t156 () (forall @t140 @t155)) % 33.60/33.85 (define @t157 () (@list @t123)) % 33.60/33.85 (define @t158 () (forall @t157 @t155)) % 33.60/33.85 (define @t159 () (forall @t157 @t154)) % 33.60/33.85 (define @t160 () (or @t138 @t137 @t159)) % 33.60/33.85 (define @t161 () (= tptp.real_zero @t36)) % 33.60/33.85 (define @t162 () (not @t37)) % 33.60/33.85 (define @t163 () (or @t143 @t162 @t161)) % 33.60/33.85 (define @t164 () (forall @t28 @t163)) % 33.60/33.85 (define @t165 () (or @t138 @t137 @t164)) % 33.60/33.85 (define @t166 () (or @t143 @t142)) % 33.60/33.85 (define @t167 () (not @t50)) % 33.60/33.85 (define @t168 () (or @t147 @t146 @t145)) % 33.60/33.85 (define @t169 () (or @t138 @t148 @t168)) % 33.60/33.85 (define @t170 () (forall @t150 @t169)) % 33.60/33.85 (define @t171 () (@list @t129)) % 33.60/33.85 (define @t172 () (forall @t171 @t169)) % 33.60/33.85 (define @t173 () (forall @t171 @t168)) % 33.60/33.85 (define @t174 () (or @t138 @t148 @t173)) % 33.60/33.85 (define @t175 () (= tptp.real_zero @t53)) % 33.60/33.85 (define @t176 () (or @t143 @t142 @t175)) % 33.60/33.85 (define @t177 () (forall @t28 @t176)) % 33.60/33.85 (define @t178 () (or @t138 @t148 @t177)) % 33.60/33.85 (define @t179 () (not @t25)) % 33.60/33.85 (define @t180 () (forall @t28 (or (not (= @t79 (tptp.plus @t80 @t7))) @t179))) % 33.60/33.85 (define @t181 () (@quantifiers_skolemize @t180 0)) % 33.60/33.85 (define @t182 () (tptp.plus @t80 @t181)) % 33.60/33.85 (define @t183 () (tptp.a @t80 @t182)) % 33.60/33.85 (define @t184 () (= tptp.real_zero @t183)) % 33.60/33.85 (define @t185 () (tptp.int_leq @t80 @t80)) % 33.60/33.85 (define @t186 () (not @t185)) % 33.60/33.85 (define @t187 () (tptp.int_less tptp.int_zero @t181)) % 33.60/33.85 (define @t188 () (not @t187)) % 33.60/33.85 (define @t189 () (or @t188 @t87 @t186 @t184)) % 33.60/33.85 (define @t190 () (not (= @t182 @t182))) % 33.60/33.85 (define @t191 () (or @t188 @t190 @t87 @t186 @t184)) % 33.60/33.85 (define @t192 () (tptp.int_leq tptp.int_one @t182)) % 33.60/33.85 (define @t193 () (not @t192)) % 33.60/33.85 (define @t194 () (not (tptp.int_leq tptp.int_one tptp.int_one))) % 33.60/33.85 (define @t195 () (or @t194 @t193 (= tptp.real_one (tptp.a tptp.int_one tptp.int_one)))) % 33.60/33.85 (define @t196 () (not @t12)) % 33.60/33.85 (define @t197 () (or @t196 (not (= @t80 (tptp.plus @t182 tptp.int_one))) @t194 @t193 (= tptp.real_zero (tptp.a (tptp.plus tptp.int_one tptp.int_one) tptp.int_one)))) % 33.60/33.85 (define @t198 () (and @t197 @t195 @t191)) % 33.60/33.85 (define @t199 () (tptp.int_leq @t182 tptp.n)) % 33.60/33.85 (define @t200 () (not @t199)) % 33.60/33.85 (define @t201 () (not @t103)) % 33.60/33.85 (define @t202 () (or @t87 @t201 @t193 @t200 @t198)) % 33.60/33.85 (define @t203 () (and @t197 @t195 @t189)) % 33.60/33.85 (define @t204 () (or @t87 @t201 @t193 @t200 @t203)) % 33.60/33.85 (define @t205 () (= @t1 @t26)) % 33.60/33.85 (define @t206 () (and @t205 @t25)) % 33.60/33.85 (define @t207 () (forall @t28 (not @t206))) % 33.60/33.85 (define @t208 () (not @t207)) % 33.60/33.85 (define @t209 () (not @t180)) % 33.60/33.85 (define @t210 () (= @t81 @t209)) % 33.60/33.85 (define @t211 () (= @t79 @t182)) % 33.60/33.85 (define @t212 () (not @t211)) % 33.60/33.85 (define @t213 () (or @t212 @t188)) % 33.60/33.85 (define @t214 () (@list @t213)) % 33.60/33.85 (define @t215 () (tptp.int_less @t80 @t80)) % 33.60/33.85 (define @t216 () (or @t215 (= @t80 @t80))) % 33.60/33.85 (define @t217 () (= @t185 @t216)) % 33.60/33.85 (define @t218 () (not @t189)) % 33.60/33.85 (define @t219 () (not @t203)) % 33.60/33.85 (define @t220 () (not @t21)) % 33.60/33.85 (define @t221 () (not @t22)) % 33.60/33.85 (define @t222 () (forall @t28 (or (not (= tptp.int_one (tptp.plus tptp.int_zero @t7))) @t179))) % 33.60/33.85 (define @t223 () (@quantifiers_skolemize @t222 0)) % 33.60/33.85 (define @t224 () (tptp.int_leq tptp.int_one @t181)) % 33.60/33.85 (define @t225 () (= @t187 @t224)) % 33.60/33.85 (define @t226 () (not @t222)) % 33.60/33.85 (define @t227 () (= @t12 @t226)) % 33.60/33.85 (define @t228 () (tptp.plus tptp.int_zero @t223)) % 33.60/33.85 (define @t229 () (= tptp.int_one @t228)) % 33.60/33.85 (define @t230 () (not @t229)) % 33.60/33.85 (define @t231 () (or @t230 (not (tptp.int_less tptp.int_zero @t223)))) % 33.60/33.85 (define @t232 () (tptp.int_leq @t223 @t181)) % 33.60/33.85 (define @t233 () (tptp.int_less tptp.int_zero @t80)) % 33.60/33.85 (define @t234 () (= @t233 @t86)) % 33.60/33.85 (define @t235 () (= @t86 @t233)) % 33.60/33.85 (define @t236 () (tptp.int_leq @t228 @t182)) % 33.60/33.85 (define @t237 () (not @t232)) % 33.60/33.85 (define @t238 () (not @t233)) % 33.60/33.85 (define @t239 () (or @t238 @t237 @t236)) % 33.60/33.85 (define @t240 () (not @t105)) % 33.60/33.85 (define @t241 () (@list true false)) % 33.60/33.85 (define @t242 () (not @t91)) % 33.60/33.85 (define @t243 () (or @t85 @t242 @t101)) % 33.60/33.85 (assume @p1 @t6) % 33.60/33.85 (assume @p2 @t11) % 33.60/33.85 (assume @p3 (forall @t5 (=> @t4 (not @t3)))) % 33.60/33.85 (assume @p4 (forall @t5 (or @t4 (tptp.int_leq @t1 @t2)))) % 33.60/33.85 (assume @p5 @t12) % 33.60/33.85 (assume @p6 (forall @t5 (= (tptp.plus @t2 @t1) (tptp.plus @t1 @t2)))) % 33.60/33.85 (assume @p7 @t15) % 33.60/33.85 (assume @p8 @t24) % 33.60/33.85 (assume @p9 @t31) % 33.60/33.85 (assume @p10 @t33) % 33.60/33.85 (assume @p11 (not (= tptp.real_zero tptp.real_one))) % 33.60/33.85 (assume @p12 @t66) % 33.60/33.85 (assume @p13 @t71) % 33.60/33.85 (assume @p14 true) % 33.60/33.85 (step @p15 :rule evaluate :args ((= false true))) % 33.60/33.85 (step @p16 :rule aci_norm :args ((= (or @t77 @t72) @t76))) % 33.60/33.85 (step @p17 :rule refl :args (@t72)) % 33.60/33.85 (step @p18 :rule aci_norm :args ((= (or @t75 (or @t74 @t73)) @t77))) % 33.60/33.85 (step @p19 :rule bool-and-de-morgan :args (@t4 @t61 true)) % 33.60/33.85 (step @p20 :rule refl :args (@t75)) % 33.60/33.85 (step @p21 :rule nary_cong :premises (@p20 @p19) :args ((or @t75 (not (and @t4 @t61))))) % 33.60/33.85 (step @p22 :rule bool-and-de-morgan :args (@t32 @t4 (and @t61))) % 33.60/33.85 (step @p23 :rule trans :premises (@p22 @p21)) % 33.60/33.85 (step @p24 :rule trans :premises (@p23 @p18)) % 33.60/33.85 (step @p25 :rule nary_cong :premises (@p24 @p17) :args ((or (not @t68) @t72))) % 33.60/33.85 (step @p26 :rule trans :premises (@p25 @p16)) % 33.60/33.85 (step @p27 :rule bool-impl-elim :args (@t68 @t72)) % 33.60/33.85 (step @p28 :rule trans :premises (@p27 @p26)) % 33.60/33.85 (step @p29 :rule cong :premises (@p28) :args ((forall @t5 (=> @t68 @t72)))) % 33.60/33.85 (step @p30 :rule eq-symm :args (@t67 tptp.real_zero)) % 33.60/33.85 (step @p31 :rule refl :args (@t68)) % 33.60/33.85 (step @p32 :rule cong :premises (@p31 @p30) :args (@t69)) % 33.60/33.85 (step @p33 :rule cong :premises (@p32) :args (@t70)) % 33.60/33.85 (step @p34 :rule trans :premises (@p33 @p29)) % 33.60/33.85 (step @p35 :rule cong :premises (@p34) :args (@t71)) % 33.60/33.85 (step @p36 :rule eq_resolve :premises (@p13 @p35)) % 33.60/33.85 (step @p37 :rule skolemize :premises (@p36)) % 33.60/33.85 (step @p38 :rule bool-double-not-elim :args (@t81)) % 33.60/33.85 (step @p39 :rule refl :args (@t88)) % 33.60/33.85 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or @t88 (not @t85)))) % 33.60/33.85 (step @p41 :rule cnf_or_neg :args (@t88 1)) % 33.60/33.85 (step @p42 :rule eq_resolve :premises (@p41 @p40)) % 33.60/33.85 (step @p43 :rule reordering :premises (@p42) :args ((or @t81 @t88))) % 33.60/33.85 (step @p44 :rule chain_m_resolution :premises (@p43 @p37) :args (@t81 @t89 @t90)) % 33.60/33.85 (step @p45 :rule true_intro :premises (@p44)) % 33.60/33.85 (step @p46 :rule eq-symm :args (@t79 tptp.n)) % 33.60/33.85 (step @p47 :rule refl :args (@t91)) % 33.60/33.85 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t92)) % 33.60/33.85 (step @p49 :rule refl :args (@t83)) % 33.60/33.85 (step @p50 :rule cong :premises (@p49 @p48) :args (@t93)) % 33.60/33.85 (step @p51 :rule refl :args (@t6)) % 33.60/33.85 (step @p52 :rule cong :premises (@p51 @p50) :args ((=> @t6 @t93))) % 33.60/33.85 (assume-push @p407 @t6) % 33.60/33.85 (step @p54 :rule instantiate :premises (@p1) :args ((@list @t79 tptp.n))) % 33.60/33.85 (step-pop @p408 :rule scope :premises (@p54)) % 33.60/33.85 (step @p55 :rule process_scope :premises (@p408) :args (@t93)) % 33.60/33.85 (step @p57 :rule eq_resolve :premises (@p55 @p52)) % 33.60/33.85 (step @p58 :rule implies_elim :premises (@p57)) % 33.60/33.85 (step @p59 :rule chain_m_resolution :premises (@p58 @p1) :args (@t96 @t97 @t98)) % 33.60/33.85 (step @p60 :rule bool-double-not-elim :args (@t83)) % 33.60/33.85 (step @p61 :rule nary_cong :premises (@p39 @p60) :args ((or @t88 (not @t84)))) % 33.60/33.85 (step @p62 :rule cnf_or_neg :args (@t88 2)) % 33.60/33.85 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 33.60/33.85 (step @p64 :rule reordering :premises (@p63) :args ((or @t83 @t88))) % 33.60/33.85 (step @p65 :rule chain_m_resolution :premises (@p64 @p37) :args (@t83 @t89 @t90)) % 33.60/33.85 (step @p66 :rule cnf_equiv_pos1 :args (@t96)) % 33.60/33.85 (step @p67 :rule reordering :premises (@p66) :args ((or @t84 @t95 (not @t96)))) % 33.60/33.85 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p59) :args (@t95 @t99 (@list @t83 @t96))) % 33.60/33.85 (step @p69 :rule aci_norm :args ((= (or (or @t74 @t100) @t8) (or @t74 @t100 @t8)))) % 33.60/33.85 (step @p70 :rule refl :args (@t8)) % 33.60/33.85 (step @p71 :rule bool-and-de-morgan :args (@t4 @t9 true)) % 33.60/33.85 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or (not @t10) @t8))) % 33.60/33.85 (step @p73 :rule trans :premises (@p72 @p69)) % 33.60/33.85 (step @p74 :rule bool-impl-elim :args (@t10 @t8)) % 33.60/33.85 (step @p75 :rule trans :premises (@p74 @p73)) % 33.60/33.85 (step @p76 :rule cong :premises (@p75) :args (@t11)) % 33.60/33.85 (step @p77 :rule eq_resolve :premises (@p2 @p76)) % 33.60/33.85 (step @p78 :rule instantiate :premises (@p77) :args ((@list @t80 @t79 tptp.n))) % 33.60/33.85 (step @p79 :rule eq-symm :args (@t80 tptp.n)) % 33.60/33.85 (step @p80 :rule refl :args (@t101)) % 33.60/33.85 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t102)) % 33.60/33.85 (step @p82 :rule refl :args (@t103)) % 33.60/33.85 (step @p83 :rule cong :premises (@p82 @p81) :args (@t104)) % 33.60/33.85 (step @p84 :rule cong :premises (@p51 @p83) :args ((=> @t6 @t104))) % 33.60/33.85 (assume-push @p409 @t6) % 33.60/33.85 (step @p86 :rule instantiate :premises (@p1) :args ((@list @t80 tptp.n))) % 33.60/33.85 (step-pop @p410 :rule scope :premises (@p86)) % 33.60/33.85 (step @p87 :rule process_scope :premises (@p410) :args (@t104)) % 33.60/33.85 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 33.60/33.85 (step @p90 :rule implies_elim :premises (@p89)) % 33.60/33.85 (step @p91 :rule chain_m_resolution :premises (@p90 @p1) :args (@t106 @t97 @t98)) % 33.60/33.85 (step @p92 :rule quant-merge-prenex :args ((= (forall @t5 @t121) @t119))) % 33.60/33.85 (step @p93 :rule alpha_equiv :args (@t122 (@list @t107 @t108) (@list @t34 @t123))) % 33.60/33.85 (step @p94 :rule quant-unused-vars :args ((= @t124 @t122))) % 33.60/33.85 (step @p95 :rule trans :premises (@p94 @p93)) % 33.60/33.85 (step @p96 :rule alpha_equiv :args (@t125 (@list @t110) @t126)) % 33.60/33.85 (step @p97 :rule quant-unused-vars :args ((= @t127 @t125))) % 33.60/33.85 (step @p98 :rule trans :premises (@p97 @p96)) % 33.60/33.85 (step @p99 :rule alpha_equiv :args (@t128 (@list @t113 @t112) (@list @t34 @t129))) % 33.60/33.85 (step @p100 :rule quant-unused-vars :args ((= @t130 @t128))) % 33.60/33.85 (step @p101 :rule trans :premises (@p100 @p99)) % 33.60/33.85 (step @p102 :rule nary_cong :premises (@p101 @p98 @p95) :args (@t131)) % 33.60/33.85 (step @p103 :rule quant-miniscope-and :args ((= @t132 @t131))) % 33.60/33.85 (step @p104 :rule trans :premises (@p103 @p102)) % 33.60/33.85 (step @p105 :rule refl :args (@t73)) % 33.60/33.85 (step @p106 :rule refl :args (@t116)) % 33.60/33.85 (step @p107 :rule refl :args (@t117)) % 33.60/33.85 (step @p108 :rule nary_cong :premises (@p20 @p107 @p106 @p105 @p104) :args (@t133)) % 33.60/33.85 (step @p109 :rule quant-miniscope-or :args ((= @t121 @t133))) % 33.60/33.85 (step @p110 :rule trans :premises (@p109 @p108)) % 33.60/33.85 (step @p111 :rule symm :premises (@p110)) % 33.60/33.85 (step @p112 :rule cong :premises (@p111) :args ((forall @t5 @t152))) % 33.60/33.85 (step @p113 :rule trans :premises (@p112 @p92)) % 33.60/33.85 (step @p114 :rule aci_norm :args ((= (or @t153 @t151) @t152))) % 33.60/33.85 (step @p115 :rule refl :args (@t151)) % 33.60/33.85 (step @p116 :rule aci_norm :args ((= (or @t75 (or @t117 (or @t116 @t73))) @t153))) % 33.60/33.85 (step @p117 :rule bool-and-de-morgan :args (@t62 @t61 true)) % 33.60/33.85 (step @p118 :rule nary_cong :premises (@p107 @p117) :args ((or @t117 (not (and @t62 @t61))))) % 33.60/33.85 (step @p119 :rule bool-and-de-morgan :args (@t63 @t62 (and @t61))) % 33.60/33.85 (step @p120 :rule trans :premises (@p119 @p118)) % 33.60/33.85 (step @p121 :rule nary_cong :premises (@p20 @p120) :args ((or @t75 (not (and @t63 @t62 @t61))))) % 33.60/33.85 (step @p122 :rule bool-and-de-morgan :args (@t32 @t63 (and @t62 @t61))) % 33.60/33.85 (step @p123 :rule trans :premises (@p122 @p121)) % 33.60/33.85 (step @p124 :rule trans :premises (@p123 @p116)) % 33.60/33.85 (step @p125 :rule nary_cong :premises (@p124 @p115) :args ((or (not @t64) @t151))) % 33.60/33.85 (step @p126 :rule trans :premises (@p125 @p114)) % 33.60/33.85 (step @p127 :rule bool-impl-elim :args (@t64 @t151)) % 33.60/33.85 (step @p128 :rule trans :premises (@p127 @p126)) % 33.60/33.85 (step @p129 :rule cong :premises (@p128) :args ((forall @t5 (=> @t64 @t151)))) % 33.60/33.85 (step @p130 :rule trans :premises (@p129 @p113)) % 33.60/33.85 (step @p131 :rule aci_norm :args ((= @t155 @t139))) % 33.60/33.85 (step @p132 :rule cong :premises (@p131) :args (@t156)) % 33.60/33.85 (step @p133 :rule quant-merge-prenex :args ((= (forall @t46 @t158) @t156))) % 33.60/33.85 (step @p134 :rule alpha_equiv :args (@t159 (@list @t123) @t126)) % 33.60/33.85 (step @p135 :rule refl :args (@t137)) % 33.60/33.85 (step @p136 :rule refl :args (@t138)) % 33.60/33.85 (step @p137 :rule nary_cong :premises (@p136 @p135 @p134) :args (@t160)) % 33.60/33.85 (step @p138 :rule quant-miniscope-or :args ((= @t158 @t160))) % 33.60/33.85 (step @p139 :rule trans :premises (@p138 @p137)) % 33.60/33.85 (step @p140 :rule symm :premises (@p139)) % 33.60/33.85 (step @p141 :rule cong :premises (@p140) :args ((forall @t46 @t165))) % 33.60/33.85 (step @p142 :rule trans :premises (@p141 @p133)) % 33.60/33.85 (step @p143 :rule trans :premises (@p142 @p132)) % 33.60/33.85 (step @p144 :rule aci_norm :args ((= (or (or @t138 @t137) @t164) @t165))) % 33.60/33.85 (step @p145 :rule refl :args (@t164)) % 33.60/33.85 (step @p146 :rule bool-and-de-morgan :args (@t43 @t42 true)) % 33.60/33.85 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or (not @t44) @t164))) % 33.60/33.85 (step @p148 :rule trans :premises (@p147 @p144)) % 33.60/33.85 (step @p149 :rule bool-impl-elim :args (@t44 @t164)) % 33.60/33.85 (step @p150 :rule trans :premises (@p149 @p148)) % 33.60/33.85 (step @p151 :rule cong :premises (@p150) :args ((forall @t46 (=> @t44 @t164)))) % 33.60/33.85 (step @p152 :rule trans :premises (@p151 @p143)) % 33.60/33.85 (step @p153 :rule aci_norm :args ((= (or (or @t143 @t162) @t161) @t163))) % 33.60/33.85 (step @p154 :rule refl :args (@t161)) % 33.60/33.85 (step @p155 :rule bool-and-de-morgan :args (@t38 @t37 true)) % 33.60/33.85 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or (not @t39) @t161))) % 33.60/33.85 (step @p157 :rule trans :premises (@p156 @p153)) % 33.60/33.85 (step @p158 :rule bool-impl-elim :args (@t39 @t161)) % 33.60/33.85 (step @p159 :rule trans :premises (@p158 @p157)) % 33.60/33.85 (step @p160 :rule cong :premises (@p159) :args ((forall @t28 (=> @t39 @t161)))) % 33.60/33.85 (step @p161 :rule eq-symm :args (@t36 tptp.real_zero)) % 33.60/33.85 (step @p162 :rule refl :args (@t39)) % 33.60/33.85 (step @p163 :rule cong :premises (@p162 @p161) :args (@t40)) % 33.60/33.85 (step @p164 :rule cong :premises (@p163) :args (@t41)) % 33.60/33.85 (step @p165 :rule trans :premises (@p164 @p160)) % 33.60/33.85 (step @p166 :rule refl :args (@t44)) % 33.60/33.85 (step @p167 :rule cong :premises (@p166 @p165) :args (@t45)) % 33.60/33.85 (step @p168 :rule cong :premises (@p167) :args (@t47)) % 33.60/33.85 (step @p169 :rule trans :premises (@p168 @p152)) % 33.60/33.85 (step @p170 :rule aci_norm :args ((= (or @t166 @t141) @t144))) % 33.60/33.85 (step @p171 :rule refl :args (@t141)) % 33.60/33.85 (step @p172 :rule bool-and-de-morgan :args (@t38 @t49 true)) % 33.60/33.85 (step @p173 :rule nary_cong :premises (@p172 @p171) :args ((or @t167 @t141))) % 33.60/33.85 (step @p174 :rule trans :premises (@p173 @p170)) % 33.60/33.85 (step @p175 :rule bool-impl-elim :args (@t50 @t141)) % 33.60/33.85 (step @p176 :rule trans :premises (@p175 @p174)) % 33.60/33.85 (step @p177 :rule cong :premises (@p176) :args ((forall @t28 (=> @t50 @t141)))) % 33.60/33.85 (step @p178 :rule eq-symm :args (@t48 tptp.real_one)) % 33.60/33.85 (step @p179 :rule refl :args (@t50)) % 33.60/33.85 (step @p180 :rule cong :premises (@p179 @p178) :args (@t51)) % 33.60/33.85 (step @p181 :rule cong :premises (@p180) :args (@t52)) % 33.60/33.85 (step @p182 :rule trans :premises (@p181 @p177)) % 33.60/33.85 (step @p183 :rule aci_norm :args ((= @t169 @t149))) % 33.60/33.85 (step @p184 :rule cong :premises (@p183) :args (@t170)) % 33.60/33.85 (step @p185 :rule quant-merge-prenex :args ((= (forall @t46 @t172) @t170))) % 33.60/33.85 (step @p186 :rule alpha_equiv :args (@t173 (@list @t129) @t126)) % 33.60/33.85 (step @p187 :rule refl :args (@t148)) % 33.60/33.85 (step @p188 :rule nary_cong :premises (@p136 @p187 @p186) :args (@t174)) % 33.60/33.85 (step @p189 :rule quant-miniscope-or :args ((= @t172 @t174))) % 33.60/33.85 (step @p190 :rule trans :premises (@p189 @p188)) % 33.60/33.85 (step @p191 :rule symm :premises (@p190)) % 33.60/33.85 (step @p192 :rule cong :premises (@p191) :args ((forall @t46 @t178))) % 33.60/33.85 (step @p193 :rule trans :premises (@p192 @p185)) % 33.60/33.85 (step @p194 :rule trans :premises (@p193 @p184)) % 33.60/33.85 (step @p195 :rule aci_norm :args ((= (or (or @t138 @t148) @t177) @t178))) % 33.60/33.85 (step @p196 :rule refl :args (@t177)) % 33.60/33.85 (step @p197 :rule bool-and-de-morgan :args (@t43 @t56 true)) % 33.60/33.85 (step @p198 :rule nary_cong :premises (@p197 @p196) :args ((or (not @t57) @t177))) % 33.60/33.85 (step @p199 :rule trans :premises (@p198 @p195)) % 33.60/33.85 (step @p200 :rule bool-impl-elim :args (@t57 @t177)) % 33.60/33.85 (step @p201 :rule trans :premises (@p200 @p199)) % 33.60/33.85 (step @p202 :rule cong :premises (@p201) :args ((forall @t46 (=> @t57 @t177)))) % 33.60/33.85 (step @p203 :rule trans :premises (@p202 @p194)) % 33.60/33.85 (step @p204 :rule aci_norm :args ((= (or @t166 @t175) @t176))) % 33.60/33.85 (step @p205 :rule refl :args (@t175)) % 33.60/33.85 (step @p206 :rule nary_cong :premises (@p172 @p205) :args ((or @t167 @t175))) % 33.60/33.85 (step @p207 :rule trans :premises (@p206 @p204)) % 33.60/33.85 (step @p208 :rule bool-impl-elim :args (@t50 @t175)) % 33.60/33.85 (step @p209 :rule trans :premises (@p208 @p207)) % 33.60/33.85 (step @p210 :rule cong :premises (@p209) :args ((forall @t28 (=> @t50 @t175)))) % 33.60/33.85 (step @p211 :rule eq-symm :args (@t53 tptp.real_zero)) % 33.60/33.85 (step @p212 :rule cong :premises (@p179 @p211) :args (@t54)) % 33.60/33.85 (step @p213 :rule cong :premises (@p212) :args (@t55)) % 33.60/33.85 (step @p214 :rule trans :premises (@p213 @p210)) % 33.60/33.85 (step @p215 :rule refl :args (@t57)) % 33.60/33.85 (step @p216 :rule cong :premises (@p215 @p214) :args (@t58)) % 33.60/33.85 (step @p217 :rule cong :premises (@p216) :args (@t59)) % 33.60/33.85 (step @p218 :rule trans :premises (@p217 @p203)) % 33.60/33.85 (step @p219 :rule nary_cong :premises (@p218 @p182 @p169) :args (@t60)) % 33.60/33.85 (step @p220 :rule refl :args (@t64)) % 33.60/33.85 (step @p221 :rule cong :premises (@p220 @p219) :args (@t65)) % 33.60/33.85 (step @p222 :rule cong :premises (@p221) :args (@t66)) % 33.60/33.85 (step @p223 :rule trans :premises (@p222 @p130)) % 33.60/33.85 (step @p224 :rule eq_resolve :premises (@p12 @p223)) % 33.60/33.85 (step @p225 :rule aci_norm :args ((= (or @t188 false @t87 @t186 @t184) @t189))) % 33.60/33.85 (step @p226 :rule refl :args (@t184)) % 33.60/33.85 (step @p227 :rule refl :args (@t186)) % 33.60/33.85 (step @p228 :rule refl :args (@t87)) % 33.60/33.85 (step @p229 :rule evaluate :args ((not true))) % 33.60/33.85 (step @p230 :rule eq-refl :args (@t182)) % 33.60/33.85 (step @p231 :rule cong :premises (@p230) :args (@t190)) % 33.60/33.85 (step @p232 :rule trans :premises (@p231 @p229)) % 33.60/33.85 (step @p233 :rule refl :args (@t188)) % 33.60/33.85 (step @p234 :rule nary_cong :premises (@p233 @p232 @p228 @p227 @p226) :args (@t191)) % 33.60/33.85 (step @p235 :rule trans :premises (@p234 @p225)) % 33.60/33.85 (step @p236 :rule refl :args (@t195)) % 33.60/33.85 (step @p237 :rule refl :args (@t197)) % 33.60/33.85 (step @p238 :rule nary_cong :premises (@p237 @p236 @p235) :args (@t198)) % 33.60/33.85 (step @p239 :rule refl :args (@t200)) % 33.60/33.85 (step @p240 :rule refl :args (@t193)) % 33.60/33.85 (step @p241 :rule refl :args (@t201)) % 33.60/33.85 (step @p242 :rule nary_cong :premises (@p228 @p241 @p240 @p239 @p238) :args (@t202)) % 33.60/33.85 (step @p243 :rule refl :args (@t119)) % 33.60/33.85 (step @p244 :rule cong :premises (@p243 @p242) :args ((=> @t119 @t202))) % 33.60/33.85 (assume-push @p411 @t119) % 33.60/33.85 (step @p246 :rule instantiate :premises (@p224) :args ((@list @t80 @t182 tptp.int_one tptp.int_one tptp.int_one @t181 @t80))) % 33.60/33.85 (step-pop @p412 :rule scope :premises (@p246)) % 33.60/33.85 (step @p247 :rule process_scope :premises (@p412) :args (@t202)) % 33.60/33.85 (step @p249 :rule eq_resolve :premises (@p247 @p244)) % 33.60/33.85 (step @p250 :rule implies_elim :premises (@p249)) % 33.60/33.85 (step @p251 :rule chain_m_resolution :premises (@p250 @p224) :args (@t204 @t97 (@list @t119))) % 33.60/33.85 (step @p252 :rule cnf_or_neg :args (@t88 3)) % 33.60/33.85 (step @p253 :rule chain_m_resolution :premises (@p252 @p37) :args ((not @t82) @t89 @t90)) % 33.60/33.85 (step @p254 :rule false_intro :premises (@p253)) % 33.60/33.85 (step @p255 :rule bool-and-de-morgan :args (@t205 @t25 true)) % 33.60/33.85 (step @p256 :rule cong :premises (@p255) :args (@t207)) % 33.60/33.85 (step @p257 :rule cong :premises (@p256) :args (@t208)) % 33.60/33.85 (step @p258 :rule exists-elim :args ((= (exists @t28 @t206) @t208))) % 33.60/33.85 (step @p259 :rule trans :premises (@p258 @p257)) % 33.60/33.85 (step @p260 :rule refl :args (@t25)) % 33.60/33.85 (step @p261 :rule eq-symm :args (@t26 @t1)) % 33.60/33.85 (step @p262 :rule nary_cong :premises (@p261 @p260) :args (@t27)) % 33.60/33.85 (step @p263 :rule cong :premises (@p262) :args (@t29)) % 33.60/33.85 (step @p264 :rule trans :premises (@p263 @p259)) % 33.60/33.85 (step @p265 :rule refl :args (@t4)) % 33.60/33.85 (step @p266 :rule cong :premises (@p265 @p264) :args (@t30)) % 33.60/33.85 (step @p267 :rule cong :premises (@p266) :args (@t31)) % 33.60/33.85 (step @p268 :rule eq_resolve :premises (@p9 @p267)) % 33.60/33.85 (step @p269 :rule instantiate :premises (@p268) :args ((@list @t80 @t79))) % 33.60/33.85 (step @p270 :rule cnf_equiv_pos1 :args (@t210)) % 33.60/33.85 (step @p271 :rule reordering :premises (@p270) :args ((or @t85 @t209 (not @t210)))) % 33.60/33.85 (step @p272 :rule chain_m_resolution :premises (@p271 @p44 @p269) :args (@t209 @t99 (@list @t81 @t210))) % 33.60/33.85 (step @p273 :rule skolemize :premises (@p272)) % 33.60/33.85 (step @p274 :rule bool-double-not-elim :args (@t211)) % 33.60/33.85 (step @p275 :rule refl :args (@t213)) % 33.60/33.85 (step @p276 :rule nary_cong :premises (@p275 @p274) :args ((or @t213 (not @t212)))) % 33.60/33.85 (step @p277 :rule cnf_or_neg :args (@t213 0)) % 33.60/33.85 (step @p278 :rule eq_resolve :premises (@p277 @p276)) % 33.60/33.85 (step @p279 :rule reordering :premises (@p278) :args ((or @t211 @t213))) % 33.60/33.85 (step @p280 :rule chain_m_resolution :premises (@p279 @p273) :args (@t211 @t89 @t214)) % 33.60/33.85 (step @p281 :rule symm :premises (@p280)) % 33.60/33.85 (step @p282 :rule refl :args (@t80)) % 33.60/33.85 (step @p283 :rule cong :premises (@p282 @p281) :args (@t183)) % 33.60/33.85 (step @p284 :rule refl :args (tptp.real_zero)) % 33.60/33.85 (step @p285 :rule cong :premises (@p284 @p283) :args (@t184)) % 33.60/33.85 (step @p286 :rule trans :premises (@p285 @p254)) % 33.60/33.85 (step @p287 :rule false_elim :premises (@p286)) % 33.60/33.85 (step @p288 :rule bool-double-not-elim :args (@t187)) % 33.60/33.85 (step @p289 :rule nary_cong :premises (@p275 @p288) :args ((or @t213 (not @t188)))) % 33.60/33.85 (step @p290 :rule cnf_or_neg :args (@t213 1)) % 33.60/33.85 (step @p291 :rule eq_resolve :premises (@p290 @p289)) % 33.60/33.85 (step @p292 :rule reordering :premises (@p291) :args ((or @t187 @t213))) % 33.60/33.85 (step @p293 :rule chain_m_resolution :premises (@p292 @p273) :args (@t187 @t89 @t214)) % 33.60/33.85 (step @p294 :rule bool-eq-true :args (@t185)) % 33.60/33.85 (step @p295 :rule absorb :args ((= (or @t215 true) true))) % 33.60/33.85 (step @p296 :rule eq-refl :args (@t80)) % 33.60/33.85 (step @p297 :rule refl :args (@t215)) % 33.60/33.85 (step @p298 :rule nary_cong :premises (@p297 @p296) :args (@t216)) % 33.60/33.85 (step @p299 :rule trans :premises (@p298 @p295)) % 33.60/33.85 (step @p300 :rule refl :args (@t185)) % 33.60/33.85 (step @p301 :rule cong :premises (@p300 @p299) :args (@t217)) % 33.60/33.85 (step @p302 :rule trans :premises (@p301 @p294)) % 33.60/33.85 (step @p303 :rule cong :premises (@p51 @p302) :args ((=> @t6 @t217))) % 33.60/33.85 (assume-push @p413 @t6) % 33.60/33.85 (step @p305 :rule instantiate :premises (@p1) :args ((@list @t80 @t80))) % 33.60/33.85 (step-pop @p414 :rule scope :premises (@p305)) % 33.60/33.85 (step @p306 :rule process_scope :premises (@p414) :args (@t217)) % 33.60/33.85 (step @p308 :rule eq_resolve :premises (@p306 @p303)) % 33.60/33.85 (step @p309 :rule implies_elim :premises (@p308)) % 33.60/33.85 (step @p310 :rule chain_m_resolution :premises (@p309 @p1) :args (@t185 @t97 @t98)) % 33.60/33.85 (step @p311 :rule bool-double-not-elim :args (@t86)) % 33.60/33.85 (step @p312 :rule nary_cong :premises (@p39 @p311) :args ((or @t88 (not @t87)))) % 33.60/33.85 (step @p313 :rule cnf_or_neg :args (@t88 0)) % 33.60/33.85 (step @p314 :rule eq_resolve :premises (@p313 @p312)) % 33.60/33.85 (step @p315 :rule reordering :premises (@p314) :args ((or @t86 @t88))) % 33.60/33.85 (step @p316 :rule chain_m_resolution :premises (@p315 @p37) :args (@t86 @t89 @t90)) % 33.60/33.85 (step @p317 :rule cnf_or_pos :args (@t189)) % 33.60/33.85 (step @p318 :rule reordering :premises (@p317) :args ((or @t87 @t186 @t188 @t184 @t218))) % 33.60/33.85 (step @p319 :rule chain_m_resolution :premises (@p318 @p316 @p310 @p293 @p287) :args (@t218 (@list false false false true) (@list @t86 @t185 @t187 @t184))) % 33.60/33.85 (step @p320 :rule cnf_and_pos :args (@t203 2)) % 33.60/33.85 (step @p321 :rule reordering :premises (@p320) :args ((or @t189 @t219))) % 33.60/33.85 (step @p322 :rule chain_m_resolution :premises (@p321 @p319) :args (@t219 @t89 (@list @t189))) % 33.60/33.85 (step @p323 :rule true_intro :premises (@p65)) % 33.60/33.85 (step @p324 :rule refl :args (tptp.n)) % 33.60/33.85 (step @p325 :rule cong :premises (@p281 @p324) :args (@t199)) % 33.60/33.85 (step @p326 :rule trans :premises (@p325 @p323)) % 33.60/33.85 (step @p327 :rule true_elim :premises (@p326)) % 33.60/33.85 (step @p328 :rule aci_norm :args ((= (or (or @t221 @t220) @t20) (or @t221 @t220 @t20)))) % 33.60/33.85 (step @p329 :rule refl :args (@t20)) % 33.60/33.85 (step @p330 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 33.60/33.85 (step @p331 :rule nary_cong :premises (@p330 @p329) :args ((or (not @t23) @t20))) % 33.60/33.85 (step @p332 :rule trans :premises (@p331 @p328)) % 33.60/33.85 (step @p333 :rule bool-impl-elim :args (@t23 @t20)) % 33.60/33.85 (step @p334 :rule trans :premises (@p333 @p332)) % 33.60/33.85 (step @p335 :rule cong :premises (@p334) :args (@t24)) % 33.60/33.85 (step @p336 :rule eq_resolve :premises (@p8 @p335)) % 33.60/33.85 (step @p337 :rule instantiate :premises (@p336) :args ((@list tptp.int_zero @t80 @t223 @t181))) % 33.60/33.85 (step @p338 :rule instantiate :premises (@p10) :args ((@list @t181))) % 33.60/33.85 (step @p339 :rule cnf_equiv_pos1 :args (@t225)) % 33.60/33.85 (step @p340 :rule reordering :premises (@p339) :args ((or @t188 @t224 (not @t225)))) % 33.60/33.85 (step @p341 :rule chain_m_resolution :premises (@p340 @p293 @p338) :args (@t224 @t99 (@list @t187 @t225))) % 33.60/33.85 (step @p342 :rule true_intro :premises (@p341)) % 33.60/33.85 (step @p343 :rule refl :args (@t181)) % 33.60/33.85 (step @p344 :rule instantiate :premises (@p268) :args ((@list tptp.int_zero tptp.int_one))) % 33.60/33.85 (step @p345 :rule cnf_equiv_pos1 :args (@t227)) % 33.60/33.85 (step @p346 :rule reordering :premises (@p345) :args ((or @t196 @t226 (not @t227)))) % 33.60/33.85 (step @p347 :rule chain_m_resolution :premises (@p346 @p5 @p344) :args (@t226 @t99 (@list @t12 @t227))) % 33.60/33.85 (step @p348 :rule skolemize :premises (@p347)) % 33.60/33.85 (step @p349 :rule bool-double-not-elim :args (@t229)) % 33.60/33.85 (step @p350 :rule refl :args (@t231)) % 33.60/33.85 (step @p351 :rule nary_cong :premises (@p350 @p349) :args ((or @t231 (not @t230)))) % 33.60/33.85 (step @p352 :rule cnf_or_neg :args (@t231 0)) % 33.60/33.85 (step @p353 :rule eq_resolve :premises (@p352 @p351)) % 33.60/33.85 (step @p354 :rule reordering :premises (@p353) :args ((or @t229 @t231))) % 33.60/33.85 (step @p355 :rule chain_m_resolution :premises (@p354 @p348) :args (@t229 @t89 (@list @t231))) % 33.60/33.85 (step @p356 :rule symm :premises (@p355)) % 33.60/33.85 (step @p357 :rule instantiate :premises (@p6) :args ((@list tptp.int_zero @t223))) % 33.60/33.85 (step @p358 :rule symm :premises (@p357)) % 33.60/33.85 (step @p359 :rule eq-symm :args (@t13 @t2)) % 33.60/33.85 (step @p360 :rule cong :premises (@p359) :args (@t15)) % 33.60/33.85 (step @p361 :rule eq_resolve :premises (@p7 @p360)) % 33.60/33.85 (step @p362 :rule instantiate :premises (@p361) :args ((@list @t223))) % 33.60/33.85 (step @p363 :rule trans :premises (@p362 @p358 @p356)) % 33.60/33.85 (step @p364 :rule cong :premises (@p363 @p343) :args (@t232)) % 33.60/33.85 (step @p365 :rule trans :premises (@p364 @p342)) % 33.60/33.85 (step @p366 :rule true_elim :premises (@p365)) % 33.60/33.85 (step @p367 :rule eq-symm :args (@t233 @t86)) % 33.60/33.85 (step @p368 :rule refl :args (@t33)) % 33.60/33.85 (step @p369 :rule cong :premises (@p368 @p367) :args ((=> @t33 @t234))) % 33.60/33.85 (assume-push @p415 @t33) % 33.60/33.85 (step @p371 :rule instantiate :premises (@p10) :args ((@list @t80))) % 33.60/33.85 (step-pop @p416 :rule scope :premises (@p371)) % 33.60/33.85 (step @p372 :rule process_scope :premises (@p416) :args (@t234)) % 33.60/33.85 (step @p374 :rule eq_resolve :premises (@p372 @p369)) % 33.60/33.85 (step @p375 :rule implies_elim :premises (@p374)) % 33.60/33.85 (step @p376 :rule chain_m_resolution :premises (@p375 @p10) :args (@t235 @t97 (@list @t33))) % 33.60/33.85 (step @p377 :rule cnf_equiv_pos1 :args (@t235)) % 33.60/33.85 (step @p378 :rule reordering :premises (@p377) :args ((or @t87 @t233 (not @t235)))) % 33.60/33.85 (step @p379 :rule chain_m_resolution :premises (@p378 @p316 @p376) :args (@t233 @t99 (@list @t86 @t235))) % 33.60/33.85 (step @p380 :rule cnf_or_pos :args (@t239)) % 33.60/33.85 (step @p381 :rule reordering :premises (@p380) :args ((or @t238 @t237 @t236 (not @t239)))) % 33.60/33.85 (step @p382 :rule chain_m_resolution :premises (@p381 @p379 @p366 @p337) :args (@t236 (@list false false false) (@list @t233 @t232 @t239))) % 33.60/33.85 (step @p383 :rule true_intro :premises (@p382)) % 33.60/33.85 (step @p384 :rule refl :args (@t182)) % 33.60/33.85 (step @p385 :rule cong :premises (@p355 @p384) :args (@t192)) % 33.60/33.85 (step @p386 :rule trans :premises (@p385 @p383)) % 33.60/33.85 (step @p387 :rule true_elim :premises (@p386)) % 33.60/33.85 (step @p388 :rule cnf_or_pos :args (@t204)) % 33.60/33.85 (step @p389 :rule reordering :premises (@p388) :args ((or @t87 @t201 @t193 @t200 @t203 (not @t204)))) % 33.60/33.85 (step @p390 :rule chain_m_resolution :premises (@p389 @p316 @p387 @p327 @p322 @p251) :args (@t201 (@list false false false true false) (@list @t86 @t192 @t199 @t203 @t204))) % 33.60/33.85 (step @p391 :rule cnf_equiv_pos2 :args (@t106)) % 33.60/33.85 (step @p392 :rule reordering :premises (@p391) :args ((or @t103 @t240 (not @t106)))) % 33.60/33.85 (step @p393 :rule chain_m_resolution :premises (@p392 @p390 @p91) :args (@t240 @t241 (@list @t103 @t106))) % 33.60/33.85 (step @p394 :rule cnf_or_neg :args (@t105 0)) % 33.60/33.85 (step @p395 :rule chain_m_resolution :premises (@p394 @p393) :args ((not @t101) @t89 (@list @t105))) % 33.60/33.85 (step @p396 :rule cnf_or_pos :args (@t243)) % 33.60/33.85 (step @p397 :rule reordering :premises (@p396) :args ((or @t85 @t242 @t101 (not @t243)))) % 33.60/33.85 (step @p398 :rule chain_m_resolution :premises (@p397 @p44 @p395 @p78) :args (@t242 (@list false true false) (@list @t81 @t101 @t243))) % 33.60/33.85 (step @p399 :rule cnf_or_pos :args (@t95)) % 33.60/33.85 (step @p400 :rule reordering :premises (@p399) :args ((or @t91 @t94 (not @t95)))) % 33.60/33.85 (step @p401 :rule chain_m_resolution :premises (@p400 @p398 @p68) :args (@t94 @t241 (@list @t91 @t95))) % 33.60/33.85 (step @p402 :rule cong :premises (@p282 @p401) :args (@t101)) % 33.60/33.85 (step @p403 :rule false_intro :premises (@p395)) % 33.60/33.85 (step @p404 :rule symm :premises (@p403)) % 33.60/33.85 (step @p405 :rule trans :premises (@p404 @p402 @p45)) % 33.60/33.85 (step @p406 false :rule eq_resolve :premises (@p405 @p15)) % 33.60/33.85 ) % 33.60/33.85 % SZS output end Proof % 33.60/33.85 % cvc5 exiting %------------------------------------------------------------------------------