%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV486+2 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 33.47s 33.66s % Output : Proof 33.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV486+2 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n009.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 20:19:59 EDT 2026 % 0.18/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 33.47/33.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.47/33.66 --- Run --no-e-matching --full-saturate-quant at 6... % 33.47/33.66 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.47/33.66 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.47/33.66 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.47/33.66 % SZS status Theorem % 33.47/33.66 % SZS output start Proof % 33.47/33.66 ( % 33.47/33.66 (declare-sort $$unsorted 0) % 33.47/33.66 (declare-const tptp.n $$unsorted) % 33.47/33.66 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 33.47/33.66 (declare-const tptp.real_one $$unsorted) % 33.47/33.66 (declare-const tptp.lu (-> $$unsorted $$unsorted $$unsorted)) % 33.47/33.66 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 33.47/33.66 (declare-const tptp.real_zero $$unsorted) % 33.47/33.66 (declare-const tptp.int_zero $$unsorted) % 33.47/33.66 (declare-const tptp.int_one $$unsorted) % 33.47/33.66 (declare-const tptp.int_leq (-> $$unsorted $$unsorted Bool)) % 33.47/33.66 (declare-const tptp.int_less (-> $$unsorted $$unsorted Bool)) % 33.47/33.66 (define @t1 () (@var "J" $$unsorted)) % 33.47/33.66 (define @t2 () (@var "I" $$unsorted)) % 33.47/33.66 (define @t3 () (= @t2 @t1)) % 33.47/33.66 (define @t4 () (tptp.int_less @t2 @t1)) % 33.47/33.66 (define @t5 () (@list @t2 @t1)) % 33.47/33.66 (define @t6 () (forall @t5 (= (tptp.int_leq @t2 @t1) (or @t4 @t3)))) % 33.47/33.66 (define @t7 () (@var "K" $$unsorted)) % 33.47/33.66 (define @t8 () (tptp.int_less @t2 @t7)) % 33.47/33.66 (define @t9 () (tptp.int_less @t1 @t7)) % 33.47/33.66 (define @t10 () (and @t4 @t9)) % 33.47/33.66 (define @t11 () (forall (@list @t2 @t1 @t7) (=> @t10 @t8))) % 33.47/33.66 (define @t12 () (tptp.int_less tptp.int_zero tptp.int_one)) % 33.47/33.66 (define @t13 () (tptp.plus @t2 tptp.int_zero)) % 33.47/33.66 (define @t14 () (@list @t2)) % 33.47/33.66 (define @t15 () (forall @t14 (= @t13 @t2))) % 33.47/33.66 (define @t16 () (@var "J2" $$unsorted)) % 33.47/33.66 (define @t17 () (@var "J1" $$unsorted)) % 33.47/33.66 (define @t18 () (@var "I2" $$unsorted)) % 33.47/33.66 (define @t19 () (@var "I1" $$unsorted)) % 33.47/33.66 (define @t20 () (tptp.int_leq (tptp.plus @t19 @t18) (tptp.plus @t17 @t16))) % 33.47/33.66 (define @t21 () (tptp.int_leq @t18 @t16)) % 33.47/33.66 (define @t22 () (tptp.int_less @t19 @t17)) % 33.47/33.66 (define @t23 () (and @t22 @t21)) % 33.47/33.66 (define @t24 () (forall (@list @t19 @t17 @t18 @t16) (=> @t23 @t20))) % 33.47/33.66 (define @t25 () (tptp.int_less tptp.int_zero @t7)) % 33.47/33.66 (define @t26 () (tptp.plus @t2 @t7)) % 33.47/33.66 (define @t27 () (and (= @t26 @t1) @t25)) % 33.47/33.66 (define @t28 () (@list @t7)) % 33.47/33.66 (define @t29 () (exists @t28 @t27)) % 33.47/33.66 (define @t30 () (= @t4 @t29)) % 33.47/33.66 (define @t31 () (forall @t5 @t30)) % 33.47/33.66 (define @t32 () (tptp.int_leq tptp.int_one @t2)) % 33.47/33.66 (define @t33 () (forall @t14 (= (tptp.int_less tptp.int_zero @t2) @t32))) % 33.47/33.66 (define @t34 () (@var "C" $$unsorted)) % 33.47/33.66 (define @t35 () (tptp.plus @t7 @t34)) % 33.47/33.66 (define @t36 () (tptp.a @t7 @t35)) % 33.47/33.66 (define @t37 () (tptp.int_leq @t7 @t2)) % 33.47/33.66 (define @t38 () (tptp.int_leq tptp.int_one @t7)) % 33.47/33.66 (define @t39 () (and @t38 @t37)) % 33.47/33.66 (define @t40 () (=> @t39 (= @t36 tptp.real_zero))) % 33.47/33.66 (define @t41 () (forall @t28 @t40)) % 33.47/33.66 (define @t42 () (= @t1 (tptp.plus @t2 @t34))) % 33.47/33.66 (define @t43 () (tptp.int_less tptp.int_zero @t34)) % 33.47/33.66 (define @t44 () (and @t43 @t42)) % 33.47/33.66 (define @t45 () (=> @t44 @t41)) % 33.47/33.66 (define @t46 () (@list @t34)) % 33.47/33.66 (define @t47 () (forall @t46 @t45)) % 33.47/33.66 (define @t48 () (tptp.a @t7 @t7)) % 33.47/33.66 (define @t49 () (tptp.int_leq @t7 @t1)) % 33.47/33.66 (define @t50 () (and @t38 @t49)) % 33.47/33.66 (define @t51 () (=> @t50 (= @t48 tptp.real_one))) % 33.47/33.66 (define @t52 () (forall @t28 @t51)) % 33.47/33.66 (define @t53 () (= (tptp.a @t35 @t7) (tptp.lu @t35 @t7))) % 33.47/33.66 (define @t54 () (forall @t28 (=> @t50 @t53))) % 33.47/33.66 (define @t55 () (= @t2 (tptp.plus @t1 @t34))) % 33.47/33.66 (define @t56 () (and @t43 @t55)) % 33.47/33.66 (define @t57 () (=> @t56 @t54)) % 33.47/33.66 (define @t58 () (forall @t46 @t57)) % 33.47/33.66 (define @t59 () (and @t58 @t52 @t47)) % 33.47/33.66 (define @t60 () (tptp.int_leq @t1 tptp.n)) % 33.47/33.66 (define @t61 () (tptp.int_leq tptp.int_one @t1)) % 33.47/33.66 (define @t62 () (tptp.int_leq @t2 tptp.n)) % 33.47/33.66 (define @t63 () (and @t32 @t62 @t61 @t60)) % 33.47/33.66 (define @t64 () (=> @t63 @t59)) % 33.47/33.66 (define @t65 () (forall @t5 @t64)) % 33.47/33.66 (define @t66 () (tptp.a @t2 @t1)) % 33.47/33.66 (define @t67 () (and @t32 @t4 @t60)) % 33.47/33.66 (define @t68 () (=> @t67 (= @t66 tptp.real_zero))) % 33.47/33.66 (define @t69 () (forall @t5 @t68)) % 33.47/33.66 (define @t70 () (not @t69)) % 33.47/33.66 (define @t71 () (= tptp.real_zero @t66)) % 33.47/33.66 (define @t72 () (not @t60)) % 33.47/33.66 (define @t73 () (not @t4)) % 33.47/33.66 (define @t74 () (not @t32)) % 33.47/33.66 (define @t75 () (or @t74 @t73 @t72 @t71)) % 33.47/33.66 (define @t76 () (or @t74 @t73 @t72)) % 33.47/33.66 (define @t77 () (forall @t5 @t75)) % 33.47/33.66 (define @t78 () (@quantifiers_skolemize @t77 1)) % 33.47/33.66 (define @t79 () (@quantifiers_skolemize @t77 0)) % 33.47/33.66 (define @t80 () (tptp.int_less @t79 @t78)) % 33.47/33.66 (define @t81 () (= tptp.real_zero (tptp.a @t79 @t78))) % 33.47/33.66 (define @t82 () (tptp.int_leq @t78 tptp.n)) % 33.47/33.66 (define @t83 () (not @t82)) % 33.47/33.66 (define @t84 () (not @t80)) % 33.47/33.66 (define @t85 () (tptp.int_leq tptp.int_one @t79)) % 33.47/33.66 (define @t86 () (not @t85)) % 33.47/33.66 (define @t87 () (or @t86 @t84 @t83 @t81)) % 33.47/33.66 (define @t88 () (@list true)) % 33.47/33.66 (define @t89 () (@list @t87)) % 33.47/33.66 (define @t90 () (tptp.int_less @t78 tptp.n)) % 33.47/33.66 (define @t91 () (or @t90 (= @t78 tptp.n))) % 33.47/33.66 (define @t92 () (= @t82 @t91)) % 33.47/33.66 (define @t93 () (= tptp.n @t78)) % 33.47/33.66 (define @t94 () (or @t90 @t93)) % 33.47/33.66 (define @t95 () (= @t82 @t94)) % 33.47/33.66 (define @t96 () (@list false)) % 33.47/33.66 (define @t97 () (@list @t6)) % 33.47/33.66 (define @t98 () (@list false false)) % 33.47/33.66 (define @t99 () (not @t9)) % 33.47/33.66 (define @t100 () (tptp.int_less @t79 tptp.n)) % 33.47/33.66 (define @t101 () (or @t100 (= @t79 tptp.n))) % 33.47/33.66 (define @t102 () (tptp.int_leq @t79 tptp.n)) % 33.47/33.66 (define @t103 () (= @t102 @t101)) % 33.47/33.66 (define @t104 () (or @t100 (= tptp.n @t79))) % 33.47/33.66 (define @t105 () (= @t102 @t104)) % 33.47/33.66 (define @t106 () (@var "BOUND_VARIABLE_7671" $$unsorted)) % 33.47/33.66 (define @t107 () (@var "BOUND_VARIABLE_7673" $$unsorted)) % 33.47/33.66 (define @t108 () (or (not (tptp.int_less tptp.int_zero @t106)) (not (= @t1 (tptp.plus @t2 @t106))) (not (tptp.int_leq tptp.int_one @t107)) (not (tptp.int_leq @t107 @t2)) (= tptp.real_zero (tptp.a @t107 (tptp.plus @t107 @t106))))) % 33.47/33.66 (define @t109 () (@var "BOUND_VARIABLE_7662" $$unsorted)) % 33.47/33.66 (define @t110 () (or (not (tptp.int_leq tptp.int_one @t109)) (not (tptp.int_leq @t109 @t1)) (= tptp.real_one (tptp.a @t109 @t109)))) % 33.47/33.66 (define @t111 () (@var "BOUND_VARIABLE_7646" $$unsorted)) % 33.47/33.66 (define @t112 () (@var "BOUND_VARIABLE_7644" $$unsorted)) % 33.47/33.66 (define @t113 () (tptp.plus @t111 @t112)) % 33.47/33.66 (define @t114 () (or (not (tptp.int_less tptp.int_zero @t112)) (not (= @t2 (tptp.plus @t1 @t112))) (not (tptp.int_leq tptp.int_one @t111)) (not (tptp.int_leq @t111 @t1)) (= (tptp.a @t113 @t111) (tptp.lu @t113 @t111)))) % 33.47/33.66 (define @t115 () (and @t114 @t110 @t108)) % 33.47/33.66 (define @t116 () (not @t61)) % 33.47/33.66 (define @t117 () (not @t62)) % 33.47/33.66 (define @t118 () (or @t74 @t117 @t116 @t72 @t115)) % 33.47/33.66 (define @t119 () (forall (@list @t2 @t1 @t112 @t111 @t109 @t106 @t107) @t118)) % 33.47/33.66 (define @t120 () (@list @t112 @t111 @t109 @t106 @t107)) % 33.47/33.66 (define @t121 () (forall @t120 @t118)) % 33.47/33.66 (define @t122 () (forall (@list @t106 @t107) @t108)) % 33.47/33.66 (define @t123 () (@var "BOUND_VARIABLE_7618" $$unsorted)) % 33.47/33.66 (define @t124 () (forall @t120 @t108)) % 33.47/33.66 (define @t125 () (forall (@list @t109) @t110)) % 33.47/33.66 (define @t126 () (@list @t7)) % 33.47/33.66 (define @t127 () (forall @t120 @t110)) % 33.47/33.66 (define @t128 () (forall (@list @t112 @t111) @t114)) % 33.47/33.66 (define @t129 () (@var "BOUND_VARIABLE_7582" $$unsorted)) % 33.47/33.66 (define @t130 () (forall @t120 @t114)) % 33.47/33.66 (define @t131 () (and @t130 @t127 @t124)) % 33.47/33.66 (define @t132 () (forall @t120 @t115)) % 33.47/33.66 (define @t133 () (or @t74 @t117 @t116 @t72 @t132)) % 33.47/33.66 (define @t134 () (= tptp.real_zero (tptp.a @t123 (tptp.plus @t123 @t34)))) % 33.47/33.66 (define @t135 () (not (tptp.int_leq @t123 @t2))) % 33.47/33.66 (define @t136 () (not (tptp.int_leq tptp.int_one @t123))) % 33.47/33.66 (define @t137 () (not @t42)) % 33.47/33.66 (define @t138 () (not @t43)) % 33.47/33.66 (define @t139 () (or @t138 @t137 @t136 @t135 @t134)) % 33.47/33.66 (define @t140 () (@list @t34 @t123)) % 33.47/33.66 (define @t141 () (= tptp.real_one @t48)) % 33.47/33.66 (define @t142 () (not @t49)) % 33.47/33.66 (define @t143 () (not @t38)) % 33.47/33.66 (define @t144 () (or @t143 @t142 @t141)) % 33.47/33.66 (define @t145 () (tptp.plus @t129 @t34)) % 33.47/33.66 (define @t146 () (= (tptp.a @t145 @t129) (tptp.lu @t145 @t129))) % 33.47/33.66 (define @t147 () (not (tptp.int_leq @t129 @t1))) % 33.47/33.66 (define @t148 () (not (tptp.int_leq tptp.int_one @t129))) % 33.47/33.66 (define @t149 () (not @t55)) % 33.47/33.66 (define @t150 () (or @t138 @t149 @t148 @t147 @t146)) % 33.47/33.66 (define @t151 () (@list @t34 @t129)) % 33.47/33.66 (define @t152 () (and (forall @t151 @t150) (forall @t28 @t144) (forall @t140 @t139))) % 33.47/33.66 (define @t153 () (or @t74 @t117 @t116 @t72 @t152)) % 33.47/33.66 (define @t154 () (or @t74 @t117 @t116 @t72)) % 33.47/33.66 (define @t155 () (or @t136 @t135 @t134)) % 33.47/33.66 (define @t156 () (or @t138 @t137 @t155)) % 33.47/33.66 (define @t157 () (forall @t140 @t156)) % 33.47/33.66 (define @t158 () (@list @t123)) % 33.47/33.66 (define @t159 () (forall @t158 @t156)) % 33.47/33.66 (define @t160 () (forall @t158 @t155)) % 33.47/33.66 (define @t161 () (or @t138 @t137 @t160)) % 33.47/33.66 (define @t162 () (= tptp.real_zero @t36)) % 33.47/33.66 (define @t163 () (not @t37)) % 33.47/33.66 (define @t164 () (or @t143 @t163 @t162)) % 33.47/33.66 (define @t165 () (forall @t28 @t164)) % 33.47/33.66 (define @t166 () (or @t138 @t137 @t165)) % 33.47/33.66 (define @t167 () (or @t143 @t142)) % 33.47/33.66 (define @t168 () (not @t50)) % 33.47/33.66 (define @t169 () (or @t148 @t147 @t146)) % 33.47/33.66 (define @t170 () (or @t138 @t149 @t169)) % 33.47/33.66 (define @t171 () (forall @t151 @t170)) % 33.47/33.66 (define @t172 () (@list @t129)) % 33.47/33.66 (define @t173 () (forall @t172 @t170)) % 33.47/33.66 (define @t174 () (forall @t172 @t169)) % 33.47/33.66 (define @t175 () (or @t138 @t149 @t174)) % 33.47/33.66 (define @t176 () (or @t143 @t142 @t53)) % 33.47/33.66 (define @t177 () (forall @t28 @t176)) % 33.47/33.66 (define @t178 () (or @t138 @t149 @t177)) % 33.47/33.66 (define @t179 () (not @t25)) % 33.47/33.66 (define @t180 () (forall @t28 (or (not (= @t78 (tptp.plus @t79 @t7))) @t179))) % 33.47/33.66 (define @t181 () (@quantifiers_skolemize @t180 0)) % 33.47/33.66 (define @t182 () (tptp.plus @t79 @t181)) % 33.47/33.66 (define @t183 () (tptp.a @t79 @t182)) % 33.47/33.66 (define @t184 () (= tptp.real_zero @t183)) % 33.47/33.66 (define @t185 () (tptp.int_leq @t79 @t79)) % 33.47/33.66 (define @t186 () (not @t185)) % 33.47/33.66 (define @t187 () (tptp.int_less tptp.int_zero @t181)) % 33.47/33.66 (define @t188 () (not @t187)) % 33.47/33.66 (define @t189 () (or @t188 @t86 @t186 @t184)) % 33.47/33.66 (define @t190 () (not (= @t182 @t182))) % 33.47/33.66 (define @t191 () (or @t188 @t190 @t86 @t186 @t184)) % 33.47/33.66 (define @t192 () (tptp.int_leq tptp.int_one @t182)) % 33.47/33.66 (define @t193 () (not @t192)) % 33.47/33.66 (define @t194 () (not (tptp.int_leq tptp.int_one tptp.int_one))) % 33.47/33.66 (define @t195 () (or @t194 @t193 (= tptp.real_one (tptp.a tptp.int_one tptp.int_one)))) % 33.47/33.66 (define @t196 () (tptp.plus tptp.int_one tptp.int_one)) % 33.47/33.66 (define @t197 () (not @t12)) % 33.47/33.66 (define @t198 () (or @t197 (not (= @t79 (tptp.plus @t182 tptp.int_one))) @t194 @t193 (= (tptp.a @t196 tptp.int_one) (tptp.lu @t196 tptp.int_one)))) % 33.47/33.66 (define @t199 () (and @t198 @t195 @t191)) % 33.47/33.66 (define @t200 () (tptp.int_leq @t182 tptp.n)) % 33.47/33.66 (define @t201 () (not @t200)) % 33.47/33.66 (define @t202 () (not @t102)) % 33.47/33.66 (define @t203 () (or @t86 @t202 @t193 @t201 @t199)) % 33.47/33.66 (define @t204 () (and @t198 @t195 @t189)) % 33.47/33.66 (define @t205 () (or @t86 @t202 @t193 @t201 @t204)) % 33.47/33.66 (define @t206 () (= @t1 @t26)) % 33.47/33.66 (define @t207 () (and @t206 @t25)) % 33.47/33.66 (define @t208 () (forall @t28 (not @t207))) % 33.47/33.66 (define @t209 () (not @t208)) % 33.47/33.66 (define @t210 () (not @t180)) % 33.47/33.66 (define @t211 () (= @t80 @t210)) % 33.47/33.66 (define @t212 () (= @t78 @t182)) % 33.47/33.66 (define @t213 () (not @t212)) % 33.47/33.66 (define @t214 () (or @t213 @t188)) % 33.47/33.66 (define @t215 () (@list @t214)) % 33.47/33.66 (define @t216 () (tptp.int_less @t79 @t79)) % 33.47/33.66 (define @t217 () (or @t216 (= @t79 @t79))) % 33.47/33.66 (define @t218 () (= @t185 @t217)) % 33.47/33.66 (define @t219 () (not @t189)) % 33.47/33.66 (define @t220 () (not @t204)) % 33.47/33.66 (define @t221 () (not @t21)) % 33.47/33.66 (define @t222 () (not @t22)) % 33.47/33.66 (define @t223 () (forall @t28 (or (not (= tptp.int_one (tptp.plus tptp.int_zero @t7))) @t179))) % 33.47/33.66 (define @t224 () (@quantifiers_skolemize @t223 0)) % 33.47/33.66 (define @t225 () (tptp.int_leq tptp.int_one @t181)) % 33.47/33.66 (define @t226 () (= @t187 @t225)) % 33.47/33.66 (define @t227 () (not @t223)) % 33.47/33.66 (define @t228 () (= @t12 @t227)) % 33.47/33.66 (define @t229 () (tptp.plus tptp.int_zero @t224)) % 33.47/33.66 (define @t230 () (= tptp.int_one @t229)) % 33.47/33.66 (define @t231 () (not @t230)) % 33.47/33.66 (define @t232 () (or @t231 (not (tptp.int_less tptp.int_zero @t224)))) % 33.47/33.66 (define @t233 () (tptp.int_leq @t224 @t181)) % 33.47/33.66 (define @t234 () (tptp.int_less tptp.int_zero @t79)) % 33.47/33.66 (define @t235 () (= @t234 @t85)) % 33.47/33.66 (define @t236 () (= @t85 @t234)) % 33.47/33.66 (define @t237 () (tptp.int_leq @t229 @t182)) % 33.47/33.66 (define @t238 () (not @t233)) % 33.47/33.66 (define @t239 () (not @t234)) % 33.47/33.66 (define @t240 () (or @t239 @t238 @t237)) % 33.47/33.66 (define @t241 () (not @t104)) % 33.47/33.66 (define @t242 () (@list true false)) % 33.47/33.66 (define @t243 () (not @t90)) % 33.47/33.66 (define @t244 () (or @t84 @t243 @t100)) % 33.47/33.66 (assume @p1 @t6) % 33.47/33.66 (assume @p2 @t11) % 33.47/33.66 (assume @p3 (forall @t5 (=> @t4 (not @t3)))) % 33.47/33.66 (assume @p4 (forall @t5 (or @t4 (tptp.int_leq @t1 @t2)))) % 33.47/33.66 (assume @p5 @t12) % 33.47/33.66 (assume @p6 (forall @t5 (= (tptp.plus @t2 @t1) (tptp.plus @t1 @t2)))) % 33.47/33.66 (assume @p7 @t15) % 33.47/33.66 (assume @p8 @t24) % 33.47/33.66 (assume @p9 @t31) % 33.47/33.66 (assume @p10 @t33) % 33.47/33.66 (assume @p11 (not (= tptp.real_zero tptp.real_one))) % 33.47/33.66 (assume @p12 @t65) % 33.47/33.66 (assume @p13 @t70) % 33.47/33.66 (assume @p14 true) % 33.47/33.66 (step @p15 :rule evaluate :args ((= false true))) % 33.47/33.66 (step @p16 :rule aci_norm :args ((= (or @t76 @t71) @t75))) % 33.47/33.66 (step @p17 :rule refl :args (@t71)) % 33.47/33.66 (step @p18 :rule aci_norm :args ((= (or @t74 (or @t73 @t72)) @t76))) % 33.47/33.66 (step @p19 :rule bool-and-de-morgan :args (@t4 @t60 true)) % 33.47/33.66 (step @p20 :rule refl :args (@t74)) % 33.47/33.66 (step @p21 :rule nary_cong :premises (@p20 @p19) :args ((or @t74 (not (and @t4 @t60))))) % 33.47/33.66 (step @p22 :rule bool-and-de-morgan :args (@t32 @t4 (and @t60))) % 33.47/33.66 (step @p23 :rule trans :premises (@p22 @p21)) % 33.47/33.66 (step @p24 :rule trans :premises (@p23 @p18)) % 33.47/33.66 (step @p25 :rule nary_cong :premises (@p24 @p17) :args ((or (not @t67) @t71))) % 33.47/33.66 (step @p26 :rule trans :premises (@p25 @p16)) % 33.47/33.66 (step @p27 :rule bool-impl-elim :args (@t67 @t71)) % 33.47/33.66 (step @p28 :rule trans :premises (@p27 @p26)) % 33.47/33.66 (step @p29 :rule cong :premises (@p28) :args ((forall @t5 (=> @t67 @t71)))) % 33.47/33.66 (step @p30 :rule eq-symm :args (@t66 tptp.real_zero)) % 33.47/33.66 (step @p31 :rule refl :args (@t67)) % 33.47/33.66 (step @p32 :rule cong :premises (@p31 @p30) :args (@t68)) % 33.47/33.66 (step @p33 :rule cong :premises (@p32) :args (@t69)) % 33.47/33.66 (step @p34 :rule trans :premises (@p33 @p29)) % 33.47/33.66 (step @p35 :rule cong :premises (@p34) :args (@t70)) % 33.47/33.66 (step @p36 :rule eq_resolve :premises (@p13 @p35)) % 33.47/33.66 (step @p37 :rule skolemize :premises (@p36)) % 33.47/33.66 (step @p38 :rule bool-double-not-elim :args (@t80)) % 33.47/33.66 (step @p39 :rule refl :args (@t87)) % 33.47/33.66 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or @t87 (not @t84)))) % 33.47/33.66 (step @p41 :rule cnf_or_neg :args (@t87 1)) % 33.47/33.66 (step @p42 :rule eq_resolve :premises (@p41 @p40)) % 33.47/33.66 (step @p43 :rule reordering :premises (@p42) :args ((or @t80 @t87))) % 33.47/33.66 (step @p44 :rule chain_m_resolution :premises (@p43 @p37) :args (@t80 @t88 @t89)) % 33.47/33.66 (step @p45 :rule true_intro :premises (@p44)) % 33.47/33.66 (step @p46 :rule eq-symm :args (@t78 tptp.n)) % 33.47/33.66 (step @p47 :rule refl :args (@t90)) % 33.47/33.66 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t91)) % 33.47/33.66 (step @p49 :rule refl :args (@t82)) % 33.47/33.66 (step @p50 :rule cong :premises (@p49 @p48) :args (@t92)) % 33.47/33.66 (step @p51 :rule refl :args (@t6)) % 33.47/33.66 (step @p52 :rule cong :premises (@p51 @p50) :args ((=> @t6 @t92))) % 33.47/33.66 (assume-push @p403 @t6) % 33.47/33.66 (step @p54 :rule instantiate :premises (@p1) :args ((@list @t78 tptp.n))) % 33.47/33.66 (step-pop @p404 :rule scope :premises (@p54)) % 33.47/33.66 (step @p55 :rule process_scope :premises (@p404) :args (@t92)) % 33.47/33.66 (step @p57 :rule eq_resolve :premises (@p55 @p52)) % 33.47/33.66 (step @p58 :rule implies_elim :premises (@p57)) % 33.47/33.66 (step @p59 :rule chain_m_resolution :premises (@p58 @p1) :args (@t95 @t96 @t97)) % 33.47/33.66 (step @p60 :rule bool-double-not-elim :args (@t82)) % 33.47/33.66 (step @p61 :rule nary_cong :premises (@p39 @p60) :args ((or @t87 (not @t83)))) % 33.47/33.66 (step @p62 :rule cnf_or_neg :args (@t87 2)) % 33.47/33.66 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 33.47/33.66 (step @p64 :rule reordering :premises (@p63) :args ((or @t82 @t87))) % 33.47/33.66 (step @p65 :rule chain_m_resolution :premises (@p64 @p37) :args (@t82 @t88 @t89)) % 33.47/33.66 (step @p66 :rule cnf_equiv_pos1 :args (@t95)) % 33.47/33.66 (step @p67 :rule reordering :premises (@p66) :args ((or @t83 @t94 (not @t95)))) % 33.47/33.66 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p59) :args (@t94 @t98 (@list @t82 @t95))) % 33.47/33.66 (step @p69 :rule aci_norm :args ((= (or (or @t73 @t99) @t8) (or @t73 @t99 @t8)))) % 33.47/33.66 (step @p70 :rule refl :args (@t8)) % 33.47/33.66 (step @p71 :rule bool-and-de-morgan :args (@t4 @t9 true)) % 33.47/33.66 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or (not @t10) @t8))) % 33.47/33.66 (step @p73 :rule trans :premises (@p72 @p69)) % 33.47/33.66 (step @p74 :rule bool-impl-elim :args (@t10 @t8)) % 33.47/33.66 (step @p75 :rule trans :premises (@p74 @p73)) % 33.47/33.66 (step @p76 :rule cong :premises (@p75) :args (@t11)) % 33.47/33.66 (step @p77 :rule eq_resolve :premises (@p2 @p76)) % 33.47/33.66 (step @p78 :rule instantiate :premises (@p77) :args ((@list @t79 @t78 tptp.n))) % 33.47/33.66 (step @p79 :rule eq-symm :args (@t79 tptp.n)) % 33.47/33.66 (step @p80 :rule refl :args (@t100)) % 33.47/33.66 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t101)) % 33.47/33.66 (step @p82 :rule refl :args (@t102)) % 33.47/33.66 (step @p83 :rule cong :premises (@p82 @p81) :args (@t103)) % 33.47/33.66 (step @p84 :rule cong :premises (@p51 @p83) :args ((=> @t6 @t103))) % 33.47/33.66 (assume-push @p405 @t6) % 33.47/33.66 (step @p86 :rule instantiate :premises (@p1) :args ((@list @t79 tptp.n))) % 33.47/33.66 (step-pop @p406 :rule scope :premises (@p86)) % 33.47/33.66 (step @p87 :rule process_scope :premises (@p406) :args (@t103)) % 33.47/33.66 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 33.47/33.66 (step @p90 :rule implies_elim :premises (@p89)) % 33.47/33.66 (step @p91 :rule chain_m_resolution :premises (@p90 @p1) :args (@t105 @t96 @t97)) % 33.47/33.66 (step @p92 :rule quant-merge-prenex :args ((= (forall @t5 @t121) @t119))) % 33.47/33.66 (step @p93 :rule alpha_equiv :args (@t122 (@list @t106 @t107) (@list @t34 @t123))) % 33.47/33.66 (step @p94 :rule quant-unused-vars :args ((= @t124 @t122))) % 33.47/33.66 (step @p95 :rule trans :premises (@p94 @p93)) % 33.47/33.66 (step @p96 :rule alpha_equiv :args (@t125 (@list @t109) @t126)) % 33.47/33.66 (step @p97 :rule quant-unused-vars :args ((= @t127 @t125))) % 33.47/33.66 (step @p98 :rule trans :premises (@p97 @p96)) % 33.47/33.66 (step @p99 :rule alpha_equiv :args (@t128 (@list @t112 @t111) (@list @t34 @t129))) % 33.47/33.66 (step @p100 :rule quant-unused-vars :args ((= @t130 @t128))) % 33.47/33.66 (step @p101 :rule trans :premises (@p100 @p99)) % 33.47/33.66 (step @p102 :rule nary_cong :premises (@p101 @p98 @p95) :args (@t131)) % 33.47/33.66 (step @p103 :rule quant-miniscope-and :args ((= @t132 @t131))) % 33.47/33.66 (step @p104 :rule trans :premises (@p103 @p102)) % 33.47/33.66 (step @p105 :rule refl :args (@t72)) % 33.47/33.66 (step @p106 :rule refl :args (@t116)) % 33.47/33.66 (step @p107 :rule refl :args (@t117)) % 33.47/33.66 (step @p108 :rule nary_cong :premises (@p20 @p107 @p106 @p105 @p104) :args (@t133)) % 33.47/33.66 (step @p109 :rule quant-miniscope-or :args ((= @t121 @t133))) % 33.47/33.66 (step @p110 :rule trans :premises (@p109 @p108)) % 33.47/33.66 (step @p111 :rule symm :premises (@p110)) % 33.47/33.66 (step @p112 :rule cong :premises (@p111) :args ((forall @t5 @t153))) % 33.47/33.66 (step @p113 :rule trans :premises (@p112 @p92)) % 33.47/33.66 (step @p114 :rule aci_norm :args ((= (or @t154 @t152) @t153))) % 33.47/33.66 (step @p115 :rule refl :args (@t152)) % 33.47/33.66 (step @p116 :rule aci_norm :args ((= (or @t74 (or @t117 (or @t116 @t72))) @t154))) % 33.47/33.66 (step @p117 :rule bool-and-de-morgan :args (@t61 @t60 true)) % 33.47/33.66 (step @p118 :rule nary_cong :premises (@p107 @p117) :args ((or @t117 (not (and @t61 @t60))))) % 33.47/33.66 (step @p119 :rule bool-and-de-morgan :args (@t62 @t61 (and @t60))) % 33.47/33.66 (step @p120 :rule trans :premises (@p119 @p118)) % 33.47/33.66 (step @p121 :rule nary_cong :premises (@p20 @p120) :args ((or @t74 (not (and @t62 @t61 @t60))))) % 33.47/33.66 (step @p122 :rule bool-and-de-morgan :args (@t32 @t62 (and @t61 @t60))) % 33.47/33.66 (step @p123 :rule trans :premises (@p122 @p121)) % 33.47/33.66 (step @p124 :rule trans :premises (@p123 @p116)) % 33.47/33.66 (step @p125 :rule nary_cong :premises (@p124 @p115) :args ((or (not @t63) @t152))) % 33.47/33.66 (step @p126 :rule trans :premises (@p125 @p114)) % 33.47/33.66 (step @p127 :rule bool-impl-elim :args (@t63 @t152)) % 33.47/33.66 (step @p128 :rule trans :premises (@p127 @p126)) % 33.47/33.66 (step @p129 :rule cong :premises (@p128) :args ((forall @t5 (=> @t63 @t152)))) % 33.47/33.66 (step @p130 :rule trans :premises (@p129 @p113)) % 33.47/33.66 (step @p131 :rule aci_norm :args ((= @t156 @t139))) % 33.47/33.66 (step @p132 :rule cong :premises (@p131) :args (@t157)) % 33.47/33.66 (step @p133 :rule quant-merge-prenex :args ((= (forall @t46 @t159) @t157))) % 33.47/33.66 (step @p134 :rule alpha_equiv :args (@t160 (@list @t123) @t126)) % 33.47/33.66 (step @p135 :rule refl :args (@t137)) % 33.47/33.66 (step @p136 :rule refl :args (@t138)) % 33.47/33.66 (step @p137 :rule nary_cong :premises (@p136 @p135 @p134) :args (@t161)) % 33.47/33.66 (step @p138 :rule quant-miniscope-or :args ((= @t159 @t161))) % 33.47/33.66 (step @p139 :rule trans :premises (@p138 @p137)) % 33.47/33.66 (step @p140 :rule symm :premises (@p139)) % 33.47/33.66 (step @p141 :rule cong :premises (@p140) :args ((forall @t46 @t166))) % 33.47/33.66 (step @p142 :rule trans :premises (@p141 @p133)) % 33.47/33.66 (step @p143 :rule trans :premises (@p142 @p132)) % 33.47/33.66 (step @p144 :rule aci_norm :args ((= (or (or @t138 @t137) @t165) @t166))) % 33.47/33.66 (step @p145 :rule refl :args (@t165)) % 33.47/33.66 (step @p146 :rule bool-and-de-morgan :args (@t43 @t42 true)) % 33.47/33.66 (step @p147 :rule nary_cong :premises (@p146 @p145) :args ((or (not @t44) @t165))) % 33.47/33.66 (step @p148 :rule trans :premises (@p147 @p144)) % 33.47/33.66 (step @p149 :rule bool-impl-elim :args (@t44 @t165)) % 33.47/33.66 (step @p150 :rule trans :premises (@p149 @p148)) % 33.47/33.66 (step @p151 :rule cong :premises (@p150) :args ((forall @t46 (=> @t44 @t165)))) % 33.47/33.66 (step @p152 :rule trans :premises (@p151 @p143)) % 33.47/33.66 (step @p153 :rule aci_norm :args ((= (or (or @t143 @t163) @t162) @t164))) % 33.47/33.66 (step @p154 :rule refl :args (@t162)) % 33.47/33.66 (step @p155 :rule bool-and-de-morgan :args (@t38 @t37 true)) % 33.47/33.66 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or (not @t39) @t162))) % 33.47/33.66 (step @p157 :rule trans :premises (@p156 @p153)) % 33.47/33.66 (step @p158 :rule bool-impl-elim :args (@t39 @t162)) % 33.47/33.66 (step @p159 :rule trans :premises (@p158 @p157)) % 33.47/33.66 (step @p160 :rule cong :premises (@p159) :args ((forall @t28 (=> @t39 @t162)))) % 33.47/33.66 (step @p161 :rule eq-symm :args (@t36 tptp.real_zero)) % 33.47/33.66 (step @p162 :rule refl :args (@t39)) % 33.47/33.66 (step @p163 :rule cong :premises (@p162 @p161) :args (@t40)) % 33.47/33.66 (step @p164 :rule cong :premises (@p163) :args (@t41)) % 33.47/33.66 (step @p165 :rule trans :premises (@p164 @p160)) % 33.47/33.66 (step @p166 :rule refl :args (@t44)) % 33.47/33.66 (step @p167 :rule cong :premises (@p166 @p165) :args (@t45)) % 33.47/33.66 (step @p168 :rule cong :premises (@p167) :args (@t47)) % 33.47/33.66 (step @p169 :rule trans :premises (@p168 @p152)) % 33.47/33.66 (step @p170 :rule aci_norm :args ((= (or @t167 @t141) @t144))) % 33.47/33.66 (step @p171 :rule refl :args (@t141)) % 33.47/33.66 (step @p172 :rule bool-and-de-morgan :args (@t38 @t49 true)) % 33.47/33.66 (step @p173 :rule nary_cong :premises (@p172 @p171) :args ((or @t168 @t141))) % 33.47/33.66 (step @p174 :rule trans :premises (@p173 @p170)) % 33.47/33.66 (step @p175 :rule bool-impl-elim :args (@t50 @t141)) % 33.47/33.66 (step @p176 :rule trans :premises (@p175 @p174)) % 33.47/33.66 (step @p177 :rule cong :premises (@p176) :args ((forall @t28 (=> @t50 @t141)))) % 33.47/33.66 (step @p178 :rule eq-symm :args (@t48 tptp.real_one)) % 33.47/33.66 (step @p179 :rule refl :args (@t50)) % 33.47/33.66 (step @p180 :rule cong :premises (@p179 @p178) :args (@t51)) % 33.47/33.66 (step @p181 :rule cong :premises (@p180) :args (@t52)) % 33.47/33.66 (step @p182 :rule trans :premises (@p181 @p177)) % 33.47/33.66 (step @p183 :rule aci_norm :args ((= @t170 @t150))) % 33.47/33.66 (step @p184 :rule cong :premises (@p183) :args (@t171)) % 33.47/33.66 (step @p185 :rule quant-merge-prenex :args ((= (forall @t46 @t173) @t171))) % 33.47/33.66 (step @p186 :rule alpha_equiv :args (@t174 (@list @t129) @t126)) % 33.47/33.66 (step @p187 :rule refl :args (@t149)) % 33.47/33.66 (step @p188 :rule nary_cong :premises (@p136 @p187 @p186) :args (@t175)) % 33.47/33.66 (step @p189 :rule quant-miniscope-or :args ((= @t173 @t175))) % 33.47/33.66 (step @p190 :rule trans :premises (@p189 @p188)) % 33.47/33.66 (step @p191 :rule symm :premises (@p190)) % 33.47/33.66 (step @p192 :rule cong :premises (@p191) :args ((forall @t46 @t178))) % 33.47/33.66 (step @p193 :rule trans :premises (@p192 @p185)) % 33.47/33.66 (step @p194 :rule trans :premises (@p193 @p184)) % 33.47/33.66 (step @p195 :rule aci_norm :args ((= (or (or @t138 @t149) @t177) @t178))) % 33.47/33.66 (step @p196 :rule refl :args (@t177)) % 33.47/33.66 (step @p197 :rule bool-and-de-morgan :args (@t43 @t55 true)) % 33.47/33.66 (step @p198 :rule nary_cong :premises (@p197 @p196) :args ((or (not @t56) @t177))) % 33.47/33.66 (step @p199 :rule trans :premises (@p198 @p195)) % 33.47/33.66 (step @p200 :rule bool-impl-elim :args (@t56 @t177)) % 33.47/33.66 (step @p201 :rule trans :premises (@p200 @p199)) % 33.47/33.66 (step @p202 :rule cong :premises (@p201) :args ((forall @t46 (=> @t56 @t177)))) % 33.47/33.66 (step @p203 :rule trans :premises (@p202 @p194)) % 33.47/33.66 (step @p204 :rule aci_norm :args ((= (or @t167 @t53) @t176))) % 33.47/33.66 (step @p205 :rule refl :args (@t53)) % 33.47/33.66 (step @p206 :rule nary_cong :premises (@p172 @p205) :args ((or @t168 @t53))) % 33.47/33.66 (step @p207 :rule trans :premises (@p206 @p204)) % 33.47/33.66 (step @p208 :rule bool-impl-elim :args (@t50 @t53)) % 33.47/33.66 (step @p209 :rule trans :premises (@p208 @p207)) % 33.47/33.66 (step @p210 :rule cong :premises (@p209) :args (@t54)) % 33.47/33.66 (step @p211 :rule refl :args (@t56)) % 33.47/33.66 (step @p212 :rule cong :premises (@p211 @p210) :args (@t57)) % 33.47/33.66 (step @p213 :rule cong :premises (@p212) :args (@t58)) % 33.47/33.66 (step @p214 :rule trans :premises (@p213 @p203)) % 33.47/33.66 (step @p215 :rule nary_cong :premises (@p214 @p182 @p169) :args (@t59)) % 33.47/33.66 (step @p216 :rule refl :args (@t63)) % 33.47/33.66 (step @p217 :rule cong :premises (@p216 @p215) :args (@t64)) % 33.47/33.66 (step @p218 :rule cong :premises (@p217) :args (@t65)) % 33.47/33.66 (step @p219 :rule trans :premises (@p218 @p130)) % 33.47/33.66 (step @p220 :rule eq_resolve :premises (@p12 @p219)) % 33.47/33.66 (step @p221 :rule aci_norm :args ((= (or @t188 false @t86 @t186 @t184) @t189))) % 33.47/33.66 (step @p222 :rule refl :args (@t184)) % 33.47/33.66 (step @p223 :rule refl :args (@t186)) % 33.47/33.66 (step @p224 :rule refl :args (@t86)) % 33.47/33.66 (step @p225 :rule evaluate :args ((not true))) % 33.47/33.66 (step @p226 :rule eq-refl :args (@t182)) % 33.47/33.66 (step @p227 :rule cong :premises (@p226) :args (@t190)) % 33.47/33.66 (step @p228 :rule trans :premises (@p227 @p225)) % 33.47/33.66 (step @p229 :rule refl :args (@t188)) % 33.47/33.66 (step @p230 :rule nary_cong :premises (@p229 @p228 @p224 @p223 @p222) :args (@t191)) % 33.47/33.66 (step @p231 :rule trans :premises (@p230 @p221)) % 33.47/33.66 (step @p232 :rule refl :args (@t195)) % 33.47/33.66 (step @p233 :rule refl :args (@t198)) % 33.47/33.66 (step @p234 :rule nary_cong :premises (@p233 @p232 @p231) :args (@t199)) % 33.47/33.66 (step @p235 :rule refl :args (@t201)) % 33.47/33.66 (step @p236 :rule refl :args (@t193)) % 33.47/33.66 (step @p237 :rule refl :args (@t202)) % 33.47/33.66 (step @p238 :rule nary_cong :premises (@p224 @p237 @p236 @p235 @p234) :args (@t203)) % 33.47/33.66 (step @p239 :rule refl :args (@t119)) % 33.47/33.66 (step @p240 :rule cong :premises (@p239 @p238) :args ((=> @t119 @t203))) % 33.47/33.66 (assume-push @p407 @t119) % 33.47/33.66 (step @p242 :rule instantiate :premises (@p220) :args ((@list @t79 @t182 tptp.int_one tptp.int_one tptp.int_one @t181 @t79))) % 33.47/33.66 (step-pop @p408 :rule scope :premises (@p242)) % 33.47/33.66 (step @p243 :rule process_scope :premises (@p408) :args (@t203)) % 33.47/33.66 (step @p245 :rule eq_resolve :premises (@p243 @p240)) % 33.47/33.66 (step @p246 :rule implies_elim :premises (@p245)) % 33.47/33.66 (step @p247 :rule chain_m_resolution :premises (@p246 @p220) :args (@t205 @t96 (@list @t119))) % 33.47/33.66 (step @p248 :rule cnf_or_neg :args (@t87 3)) % 33.47/33.66 (step @p249 :rule chain_m_resolution :premises (@p248 @p37) :args ((not @t81) @t88 @t89)) % 33.47/33.66 (step @p250 :rule false_intro :premises (@p249)) % 33.47/33.66 (step @p251 :rule bool-and-de-morgan :args (@t206 @t25 true)) % 33.47/33.66 (step @p252 :rule cong :premises (@p251) :args (@t208)) % 33.47/33.66 (step @p253 :rule cong :premises (@p252) :args (@t209)) % 33.47/33.66 (step @p254 :rule exists-elim :args ((= (exists @t28 @t207) @t209))) % 33.47/33.66 (step @p255 :rule trans :premises (@p254 @p253)) % 33.47/33.66 (step @p256 :rule refl :args (@t25)) % 33.47/33.66 (step @p257 :rule eq-symm :args (@t26 @t1)) % 33.47/33.66 (step @p258 :rule nary_cong :premises (@p257 @p256) :args (@t27)) % 33.47/33.66 (step @p259 :rule cong :premises (@p258) :args (@t29)) % 33.47/33.66 (step @p260 :rule trans :premises (@p259 @p255)) % 33.47/33.66 (step @p261 :rule refl :args (@t4)) % 33.47/33.66 (step @p262 :rule cong :premises (@p261 @p260) :args (@t30)) % 33.47/33.66 (step @p263 :rule cong :premises (@p262) :args (@t31)) % 33.47/33.66 (step @p264 :rule eq_resolve :premises (@p9 @p263)) % 33.47/33.66 (step @p265 :rule instantiate :premises (@p264) :args ((@list @t79 @t78))) % 33.47/33.66 (step @p266 :rule cnf_equiv_pos1 :args (@t211)) % 33.47/33.66 (step @p267 :rule reordering :premises (@p266) :args ((or @t84 @t210 (not @t211)))) % 33.47/33.66 (step @p268 :rule chain_m_resolution :premises (@p267 @p44 @p265) :args (@t210 @t98 (@list @t80 @t211))) % 33.47/33.66 (step @p269 :rule skolemize :premises (@p268)) % 33.47/33.66 (step @p270 :rule bool-double-not-elim :args (@t212)) % 33.47/33.66 (step @p271 :rule refl :args (@t214)) % 33.47/33.66 (step @p272 :rule nary_cong :premises (@p271 @p270) :args ((or @t214 (not @t213)))) % 33.47/33.66 (step @p273 :rule cnf_or_neg :args (@t214 0)) % 33.47/33.66 (step @p274 :rule eq_resolve :premises (@p273 @p272)) % 33.47/33.66 (step @p275 :rule reordering :premises (@p274) :args ((or @t212 @t214))) % 33.47/33.66 (step @p276 :rule chain_m_resolution :premises (@p275 @p269) :args (@t212 @t88 @t215)) % 33.47/33.66 (step @p277 :rule symm :premises (@p276)) % 33.47/33.66 (step @p278 :rule refl :args (@t79)) % 33.47/33.66 (step @p279 :rule cong :premises (@p278 @p277) :args (@t183)) % 33.47/33.66 (step @p280 :rule refl :args (tptp.real_zero)) % 33.47/33.66 (step @p281 :rule cong :premises (@p280 @p279) :args (@t184)) % 33.47/33.66 (step @p282 :rule trans :premises (@p281 @p250)) % 33.47/33.66 (step @p283 :rule false_elim :premises (@p282)) % 33.47/33.66 (step @p284 :rule bool-double-not-elim :args (@t187)) % 33.47/33.66 (step @p285 :rule nary_cong :premises (@p271 @p284) :args ((or @t214 (not @t188)))) % 33.47/33.66 (step @p286 :rule cnf_or_neg :args (@t214 1)) % 33.47/33.66 (step @p287 :rule eq_resolve :premises (@p286 @p285)) % 33.47/33.66 (step @p288 :rule reordering :premises (@p287) :args ((or @t187 @t214))) % 33.47/33.66 (step @p289 :rule chain_m_resolution :premises (@p288 @p269) :args (@t187 @t88 @t215)) % 33.47/33.66 (step @p290 :rule bool-eq-true :args (@t185)) % 33.47/33.66 (step @p291 :rule absorb :args ((= (or @t216 true) true))) % 33.47/33.66 (step @p292 :rule eq-refl :args (@t79)) % 33.47/33.66 (step @p293 :rule refl :args (@t216)) % 33.47/33.66 (step @p294 :rule nary_cong :premises (@p293 @p292) :args (@t217)) % 33.47/33.66 (step @p295 :rule trans :premises (@p294 @p291)) % 33.47/33.66 (step @p296 :rule refl :args (@t185)) % 33.47/33.66 (step @p297 :rule cong :premises (@p296 @p295) :args (@t218)) % 33.47/33.66 (step @p298 :rule trans :premises (@p297 @p290)) % 33.47/33.66 (step @p299 :rule cong :premises (@p51 @p298) :args ((=> @t6 @t218))) % 33.47/33.66 (assume-push @p409 @t6) % 33.47/33.66 (step @p301 :rule instantiate :premises (@p1) :args ((@list @t79 @t79))) % 33.47/33.66 (step-pop @p410 :rule scope :premises (@p301)) % 33.47/33.66 (step @p302 :rule process_scope :premises (@p410) :args (@t218)) % 33.47/33.66 (step @p304 :rule eq_resolve :premises (@p302 @p299)) % 33.47/33.66 (step @p305 :rule implies_elim :premises (@p304)) % 33.47/33.66 (step @p306 :rule chain_m_resolution :premises (@p305 @p1) :args (@t185 @t96 @t97)) % 33.47/33.66 (step @p307 :rule bool-double-not-elim :args (@t85)) % 33.47/33.66 (step @p308 :rule nary_cong :premises (@p39 @p307) :args ((or @t87 (not @t86)))) % 33.47/33.66 (step @p309 :rule cnf_or_neg :args (@t87 0)) % 33.47/33.66 (step @p310 :rule eq_resolve :premises (@p309 @p308)) % 33.47/33.66 (step @p311 :rule reordering :premises (@p310) :args ((or @t85 @t87))) % 33.47/33.66 (step @p312 :rule chain_m_resolution :premises (@p311 @p37) :args (@t85 @t88 @t89)) % 33.47/33.66 (step @p313 :rule cnf_or_pos :args (@t189)) % 33.47/33.66 (step @p314 :rule reordering :premises (@p313) :args ((or @t86 @t186 @t188 @t184 @t219))) % 33.47/33.66 (step @p315 :rule chain_m_resolution :premises (@p314 @p312 @p306 @p289 @p283) :args (@t219 (@list false false false true) (@list @t85 @t185 @t187 @t184))) % 33.47/33.66 (step @p316 :rule cnf_and_pos :args (@t204 2)) % 33.47/33.66 (step @p317 :rule reordering :premises (@p316) :args ((or @t189 @t220))) % 33.47/33.66 (step @p318 :rule chain_m_resolution :premises (@p317 @p315) :args (@t220 @t88 (@list @t189))) % 33.47/33.66 (step @p319 :rule true_intro :premises (@p65)) % 33.47/33.66 (step @p320 :rule refl :args (tptp.n)) % 33.47/33.66 (step @p321 :rule cong :premises (@p277 @p320) :args (@t200)) % 33.47/33.66 (step @p322 :rule trans :premises (@p321 @p319)) % 33.47/33.66 (step @p323 :rule true_elim :premises (@p322)) % 33.47/33.66 (step @p324 :rule aci_norm :args ((= (or (or @t222 @t221) @t20) (or @t222 @t221 @t20)))) % 33.47/33.66 (step @p325 :rule refl :args (@t20)) % 33.47/33.66 (step @p326 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 33.47/33.66 (step @p327 :rule nary_cong :premises (@p326 @p325) :args ((or (not @t23) @t20))) % 33.47/33.66 (step @p328 :rule trans :premises (@p327 @p324)) % 33.47/33.66 (step @p329 :rule bool-impl-elim :args (@t23 @t20)) % 33.47/33.66 (step @p330 :rule trans :premises (@p329 @p328)) % 33.47/33.66 (step @p331 :rule cong :premises (@p330) :args (@t24)) % 33.47/33.66 (step @p332 :rule eq_resolve :premises (@p8 @p331)) % 33.47/33.66 (step @p333 :rule instantiate :premises (@p332) :args ((@list tptp.int_zero @t79 @t224 @t181))) % 33.47/33.66 (step @p334 :rule instantiate :premises (@p10) :args ((@list @t181))) % 33.47/33.66 (step @p335 :rule cnf_equiv_pos1 :args (@t226)) % 33.47/33.66 (step @p336 :rule reordering :premises (@p335) :args ((or @t188 @t225 (not @t226)))) % 33.47/33.66 (step @p337 :rule chain_m_resolution :premises (@p336 @p289 @p334) :args (@t225 @t98 (@list @t187 @t226))) % 33.47/33.66 (step @p338 :rule true_intro :premises (@p337)) % 33.47/33.66 (step @p339 :rule refl :args (@t181)) % 33.47/33.66 (step @p340 :rule instantiate :premises (@p264) :args ((@list tptp.int_zero tptp.int_one))) % 33.47/33.66 (step @p341 :rule cnf_equiv_pos1 :args (@t228)) % 33.47/33.66 (step @p342 :rule reordering :premises (@p341) :args ((or @t197 @t227 (not @t228)))) % 33.47/33.66 (step @p343 :rule chain_m_resolution :premises (@p342 @p5 @p340) :args (@t227 @t98 (@list @t12 @t228))) % 33.47/33.66 (step @p344 :rule skolemize :premises (@p343)) % 33.47/33.66 (step @p345 :rule bool-double-not-elim :args (@t230)) % 33.47/33.66 (step @p346 :rule refl :args (@t232)) % 33.47/33.66 (step @p347 :rule nary_cong :premises (@p346 @p345) :args ((or @t232 (not @t231)))) % 33.47/33.66 (step @p348 :rule cnf_or_neg :args (@t232 0)) % 33.47/33.66 (step @p349 :rule eq_resolve :premises (@p348 @p347)) % 33.47/33.66 (step @p350 :rule reordering :premises (@p349) :args ((or @t230 @t232))) % 33.47/33.66 (step @p351 :rule chain_m_resolution :premises (@p350 @p344) :args (@t230 @t88 (@list @t232))) % 33.47/33.66 (step @p352 :rule symm :premises (@p351)) % 33.47/33.66 (step @p353 :rule instantiate :premises (@p6) :args ((@list tptp.int_zero @t224))) % 33.47/33.66 (step @p354 :rule symm :premises (@p353)) % 33.47/33.66 (step @p355 :rule eq-symm :args (@t13 @t2)) % 33.47/33.66 (step @p356 :rule cong :premises (@p355) :args (@t15)) % 33.47/33.66 (step @p357 :rule eq_resolve :premises (@p7 @p356)) % 33.47/33.66 (step @p358 :rule instantiate :premises (@p357) :args ((@list @t224))) % 33.47/33.66 (step @p359 :rule trans :premises (@p358 @p354 @p352)) % 33.47/33.66 (step @p360 :rule cong :premises (@p359 @p339) :args (@t233)) % 33.47/33.66 (step @p361 :rule trans :premises (@p360 @p338)) % 33.47/33.66 (step @p362 :rule true_elim :premises (@p361)) % 33.47/33.66 (step @p363 :rule eq-symm :args (@t234 @t85)) % 33.47/33.66 (step @p364 :rule refl :args (@t33)) % 33.47/33.66 (step @p365 :rule cong :premises (@p364 @p363) :args ((=> @t33 @t235))) % 33.47/33.66 (assume-push @p411 @t33) % 33.47/33.66 (step @p367 :rule instantiate :premises (@p10) :args ((@list @t79))) % 33.47/33.66 (step-pop @p412 :rule scope :premises (@p367)) % 33.47/33.66 (step @p368 :rule process_scope :premises (@p412) :args (@t235)) % 33.47/33.66 (step @p370 :rule eq_resolve :premises (@p368 @p365)) % 33.47/33.66 (step @p371 :rule implies_elim :premises (@p370)) % 33.47/33.66 (step @p372 :rule chain_m_resolution :premises (@p371 @p10) :args (@t236 @t96 (@list @t33))) % 33.47/33.66 (step @p373 :rule cnf_equiv_pos1 :args (@t236)) % 33.47/33.66 (step @p374 :rule reordering :premises (@p373) :args ((or @t86 @t234 (not @t236)))) % 33.47/33.66 (step @p375 :rule chain_m_resolution :premises (@p374 @p312 @p372) :args (@t234 @t98 (@list @t85 @t236))) % 33.47/33.66 (step @p376 :rule cnf_or_pos :args (@t240)) % 33.47/33.66 (step @p377 :rule reordering :premises (@p376) :args ((or @t239 @t238 @t237 (not @t240)))) % 33.47/33.66 (step @p378 :rule chain_m_resolution :premises (@p377 @p375 @p362 @p333) :args (@t237 (@list false false false) (@list @t234 @t233 @t240))) % 33.47/33.66 (step @p379 :rule true_intro :premises (@p378)) % 33.47/33.66 (step @p380 :rule refl :args (@t182)) % 33.47/33.66 (step @p381 :rule cong :premises (@p351 @p380) :args (@t192)) % 33.47/33.66 (step @p382 :rule trans :premises (@p381 @p379)) % 33.47/33.66 (step @p383 :rule true_elim :premises (@p382)) % 33.47/33.66 (step @p384 :rule cnf_or_pos :args (@t205)) % 33.47/33.66 (step @p385 :rule reordering :premises (@p384) :args ((or @t86 @t202 @t193 @t201 @t204 (not @t205)))) % 33.47/33.66 (step @p386 :rule chain_m_resolution :premises (@p385 @p312 @p383 @p323 @p318 @p247) :args (@t202 (@list false false false true false) (@list @t85 @t192 @t200 @t204 @t205))) % 33.47/33.66 (step @p387 :rule cnf_equiv_pos2 :args (@t105)) % 33.47/33.66 (step @p388 :rule reordering :premises (@p387) :args ((or @t102 @t241 (not @t105)))) % 33.47/33.66 (step @p389 :rule chain_m_resolution :premises (@p388 @p386 @p91) :args (@t241 @t242 (@list @t102 @t105))) % 33.47/33.66 (step @p390 :rule cnf_or_neg :args (@t104 0)) % 33.47/33.66 (step @p391 :rule chain_m_resolution :premises (@p390 @p389) :args ((not @t100) @t88 (@list @t104))) % 33.47/33.66 (step @p392 :rule cnf_or_pos :args (@t244)) % 33.47/33.66 (step @p393 :rule reordering :premises (@p392) :args ((or @t84 @t243 @t100 (not @t244)))) % 33.47/33.66 (step @p394 :rule chain_m_resolution :premises (@p393 @p44 @p391 @p78) :args (@t243 (@list false true false) (@list @t80 @t100 @t244))) % 33.47/33.66 (step @p395 :rule cnf_or_pos :args (@t94)) % 33.47/33.66 (step @p396 :rule reordering :premises (@p395) :args ((or @t90 @t93 (not @t94)))) % 33.47/33.66 (step @p397 :rule chain_m_resolution :premises (@p396 @p394 @p68) :args (@t93 @t242 (@list @t90 @t94))) % 33.47/33.66 (step @p398 :rule cong :premises (@p278 @p397) :args (@t100)) % 33.47/33.66 (step @p399 :rule false_intro :premises (@p391)) % 33.47/33.66 (step @p400 :rule symm :premises (@p399)) % 33.47/33.66 (step @p401 :rule trans :premises (@p400 @p398 @p45)) % 33.47/33.66 (step @p402 false :rule eq_resolve :premises (@p401 @p15)) % 33.47/33.66 ) % 33.47/33.66 % SZS output end Proof % 33.47/33.66 % cvc5 exiting %------------------------------------------------------------------------------