%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV487+3 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.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 11.71s 11.92s % Output : Proof 11.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV487+3 : 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 % 0.17/0.34 % Computer : n023.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 20:21:13 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 11.71/11.92 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 11.71/11.92 % SZS status Theorem % 11.71/11.92 % SZS output start Proof % 11.71/11.92 ( % 11.71/11.92 (declare-sort $$unsorted 0) % 11.71/11.92 (declare-const tptp.n $$unsorted) % 11.71/11.92 (declare-const tptp.real_one $$unsorted) % 11.71/11.92 (declare-const tptp.a (-> $$unsorted $$unsorted $$unsorted)) % 11.71/11.92 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 11.71/11.92 (declare-const tptp.real_zero $$unsorted) % 11.71/11.92 (declare-const tptp.int_zero $$unsorted) % 11.71/11.92 (declare-const tptp.int_one $$unsorted) % 11.71/11.92 (declare-const tptp.int_leq (-> $$unsorted $$unsorted Bool)) % 11.71/11.92 (declare-const tptp.int_less (-> $$unsorted $$unsorted Bool)) % 11.71/11.92 (define @t1 () (@var "J" $$unsorted)) % 11.71/11.92 (define @t2 () (@var "I" $$unsorted)) % 11.71/11.92 (define @t3 () (= @t2 @t1)) % 11.71/11.92 (define @t4 () (tptp.int_less @t2 @t1)) % 11.71/11.92 (define @t5 () (@list @t2 @t1)) % 11.71/11.92 (define @t6 () (forall @t5 (= (tptp.int_leq @t2 @t1) (or @t4 @t3)))) % 11.71/11.92 (define @t7 () (@var "K" $$unsorted)) % 11.71/11.92 (define @t8 () (tptp.int_less @t2 @t7)) % 11.71/11.92 (define @t9 () (tptp.int_less @t1 @t7)) % 11.71/11.92 (define @t10 () (and @t4 @t9)) % 11.71/11.92 (define @t11 () (forall (@list @t2 @t1 @t7) (=> @t10 @t8))) % 11.71/11.92 (define @t12 () (tptp.int_less tptp.int_zero tptp.int_one)) % 11.71/11.92 (define @t13 () (tptp.plus @t2 tptp.int_zero)) % 11.71/11.92 (define @t14 () (@list @t2)) % 11.71/11.92 (define @t15 () (forall @t14 (= @t13 @t2))) % 11.71/11.92 (define @t16 () (@var "J2" $$unsorted)) % 11.71/11.92 (define @t17 () (@var "J1" $$unsorted)) % 11.71/11.92 (define @t18 () (@var "I2" $$unsorted)) % 11.71/11.92 (define @t19 () (@var "I1" $$unsorted)) % 11.71/11.92 (define @t20 () (tptp.int_leq (tptp.plus @t19 @t18) (tptp.plus @t17 @t16))) % 11.71/11.92 (define @t21 () (tptp.int_leq @t18 @t16)) % 11.71/11.92 (define @t22 () (tptp.int_less @t19 @t17)) % 11.71/11.92 (define @t23 () (and @t22 @t21)) % 11.71/11.92 (define @t24 () (forall (@list @t19 @t17 @t18 @t16) (=> @t23 @t20))) % 11.71/11.92 (define @t25 () (tptp.int_less tptp.int_zero @t7)) % 11.71/11.92 (define @t26 () (tptp.plus @t2 @t7)) % 11.71/11.92 (define @t27 () (and (= @t26 @t1) @t25)) % 11.71/11.92 (define @t28 () (@list @t7)) % 11.71/11.92 (define @t29 () (exists @t28 @t27)) % 11.71/11.92 (define @t30 () (= @t4 @t29)) % 11.71/11.92 (define @t31 () (forall @t5 @t30)) % 11.71/11.92 (define @t32 () (tptp.int_leq tptp.int_one @t2)) % 11.71/11.92 (define @t33 () (forall @t14 (= (tptp.int_less tptp.int_zero @t2) @t32))) % 11.71/11.92 (define @t34 () (@var "C" $$unsorted)) % 11.71/11.92 (define @t35 () (tptp.plus @t7 @t34)) % 11.71/11.92 (define @t36 () (tptp.a @t7 @t35)) % 11.71/11.92 (define @t37 () (tptp.int_leq @t7 @t2)) % 11.71/11.92 (define @t38 () (tptp.int_leq tptp.int_one @t7)) % 11.71/11.92 (define @t39 () (and @t38 @t37)) % 11.71/11.92 (define @t40 () (=> @t39 (= @t36 tptp.real_zero))) % 11.71/11.92 (define @t41 () (forall @t28 @t40)) % 11.71/11.92 (define @t42 () (= @t1 (tptp.plus @t2 @t34))) % 11.71/11.92 (define @t43 () (tptp.int_less tptp.int_zero @t34)) % 11.71/11.92 (define @t44 () (and @t43 @t42)) % 11.71/11.92 (define @t45 () (=> @t44 @t41)) % 11.71/11.92 (define @t46 () (@list @t34)) % 11.71/11.92 (define @t47 () (forall @t46 @t45)) % 11.71/11.92 (define @t48 () (tptp.a @t7 @t7)) % 11.71/11.92 (define @t49 () (tptp.int_leq @t7 @t1)) % 11.71/11.92 (define @t50 () (and @t38 @t49)) % 11.71/11.92 (define @t51 () (=> @t50 (= @t48 tptp.real_one))) % 11.71/11.92 (define @t52 () (forall @t28 @t51)) % 11.71/11.92 (define @t53 () (tptp.a @t35 @t7)) % 11.71/11.92 (define @t54 () (=> @t50 (= @t53 tptp.real_zero))) % 11.71/11.92 (define @t55 () (forall @t28 @t54)) % 11.71/11.92 (define @t56 () (= @t2 (tptp.plus @t1 @t34))) % 11.71/11.92 (define @t57 () (and @t43 @t56)) % 11.71/11.92 (define @t58 () (=> @t57 @t55)) % 11.71/11.92 (define @t59 () (forall @t46 @t58)) % 11.71/11.92 (define @t60 () (and @t59 @t52 @t47)) % 11.71/11.92 (define @t61 () (tptp.int_leq @t1 tptp.n)) % 11.71/11.92 (define @t62 () (tptp.int_leq tptp.int_one @t1)) % 11.71/11.92 (define @t63 () (tptp.int_leq @t2 tptp.n)) % 11.71/11.92 (define @t64 () (and @t32 @t63 @t62 @t61)) % 11.71/11.92 (define @t65 () (=> @t64 @t60)) % 11.71/11.92 (define @t66 () (forall @t5 @t65)) % 11.71/11.92 (define @t67 () (tptp.a @t2 @t1)) % 11.71/11.92 (define @t68 () (tptp.int_less @t1 @t2)) % 11.71/11.92 (define @t69 () (and @t62 @t68 @t63)) % 11.71/11.92 (define @t70 () (=> @t69 (= @t67 tptp.real_zero))) % 11.71/11.92 (define @t71 () (forall @t5 @t70)) % 11.71/11.92 (define @t72 () (not @t71)) % 11.71/11.92 (define @t73 () (= tptp.real_zero @t67)) % 11.71/11.92 (define @t74 () (not @t63)) % 11.71/11.92 (define @t75 () (not @t68)) % 11.71/11.92 (define @t76 () (not @t62)) % 11.71/11.92 (define @t77 () (or @t76 @t75 @t74 @t73)) % 11.71/11.92 (define @t78 () (forall @t5 @t77)) % 11.71/11.92 (define @t79 () (@quantifiers_skolemize @t78 1)) % 11.71/11.92 (define @t80 () (tptp.int_less tptp.int_zero @t79)) % 11.71/11.92 (define @t81 () (tptp.int_leq tptp.int_one @t79)) % 11.71/11.92 (define @t82 () (= @t80 @t81)) % 11.71/11.92 (define @t83 () (= @t81 @t80)) % 11.71/11.92 (define @t84 () (@list false)) % 11.71/11.92 (define @t85 () (or @t76 @t75 @t74)) % 11.71/11.92 (define @t86 () (@quantifiers_skolemize @t78 0)) % 11.71/11.92 (define @t87 () (= tptp.real_zero (tptp.a @t86 @t79))) % 11.71/11.92 (define @t88 () (tptp.int_leq @t86 tptp.n)) % 11.71/11.92 (define @t89 () (not @t88)) % 11.71/11.92 (define @t90 () (tptp.int_less @t79 @t86)) % 11.71/11.92 (define @t91 () (not @t90)) % 11.71/11.92 (define @t92 () (not @t81)) % 11.71/11.92 (define @t93 () (or @t92 @t91 @t89 @t87)) % 11.71/11.92 (define @t94 () (@list true)) % 11.71/11.92 (define @t95 () (@list @t93)) % 11.71/11.92 (define @t96 () (@list false false)) % 11.71/11.92 (define @t97 () (not @t21)) % 11.71/11.92 (define @t98 () (not @t22)) % 11.71/11.92 (define @t99 () (not @t25)) % 11.71/11.92 (define @t100 () (forall @t28 (or (not (= @t86 (tptp.plus @t79 @t7))) @t99))) % 11.71/11.92 (define @t101 () (@quantifiers_skolemize @t100 0)) % 11.71/11.92 (define @t102 () (tptp.plus tptp.int_zero @t7)) % 11.71/11.92 (define @t103 () (forall @t28 (or (not (= tptp.int_one @t102)) @t99))) % 11.71/11.92 (define @t104 () (@quantifiers_skolemize @t103 0)) % 11.71/11.92 (define @t105 () (forall @t28 (or (not (= @t102 @t104)) @t99))) % 11.71/11.92 (define @t106 () (@quantifiers_skolemize @t105 0)) % 11.71/11.92 (define @t107 () (forall @t28 (or (not (= @t102 @t106)) @t99))) % 11.71/11.92 (define @t108 () (@quantifiers_skolemize @t107 0)) % 11.71/11.92 (define @t109 () (forall @t28 (or (not (= @t102 @t108)) @t99))) % 11.71/11.92 (define @t110 () (@quantifiers_skolemize @t109 0)) % 11.71/11.92 (define @t111 () (forall @t28 (or (not (= @t102 @t110)) @t99))) % 11.71/11.92 (define @t112 () (@quantifiers_skolemize @t111 0)) % 11.71/11.92 (define @t113 () (forall @t28 (or (not (= @t102 @t101)) @t99))) % 11.71/11.92 (define @t114 () (@quantifiers_skolemize @t113 0)) % 11.71/11.92 (define @t115 () (@list @t114)) % 11.71/11.92 (define @t116 () (= @t1 @t26)) % 11.71/11.92 (define @t117 () (and @t116 @t25)) % 11.71/11.92 (define @t118 () (forall @t28 (not @t117))) % 11.71/11.92 (define @t119 () (not @t118)) % 11.71/11.92 (define @t120 () (not (= @t101 @t102))) % 11.71/11.92 (define @t121 () (or @t120 @t99)) % 11.71/11.92 (define @t122 () (forall @t28 @t121)) % 11.71/11.92 (define @t123 () (not @t122)) % 11.71/11.92 (define @t124 () (tptp.int_less tptp.int_zero @t101)) % 11.71/11.92 (define @t125 () (= @t124 @t123)) % 11.71/11.92 (define @t126 () (forall @t5 (= @t4 (not (forall @t28 (or (not @t116) @t99)))))) % 11.71/11.92 (define @t127 () (not @t113)) % 11.71/11.92 (define @t128 () (= @t124 @t127)) % 11.71/11.92 (define @t129 () (@list @t126)) % 11.71/11.92 (define @t130 () (not @t100)) % 11.71/11.92 (define @t131 () (= @t90 @t130)) % 11.71/11.92 (define @t132 () (not @t124)) % 11.71/11.92 (define @t133 () (tptp.plus @t79 @t101)) % 11.71/11.92 (define @t134 () (= @t86 @t133)) % 11.71/11.92 (define @t135 () (not @t134)) % 11.71/11.92 (define @t136 () (or @t135 @t132)) % 11.71/11.92 (define @t137 () (@list @t136)) % 11.71/11.92 (define @t138 () (tptp.int_less tptp.int_zero @t114)) % 11.71/11.92 (define @t139 () (not @t138)) % 11.71/11.92 (define @t140 () (tptp.plus tptp.int_zero @t114)) % 11.71/11.92 (define @t141 () (= @t101 @t140)) % 11.71/11.92 (define @t142 () (not @t141)) % 11.71/11.92 (define @t143 () (or @t142 @t139)) % 11.71/11.92 (define @t144 () (not @t143)) % 11.71/11.92 (define @t145 () (not (= @t140 @t101))) % 11.71/11.92 (define @t146 () (or @t145 @t139)) % 11.71/11.92 (define @t147 () (not @t146)) % 11.71/11.92 (define @t148 () (@list @t143)) % 11.71/11.92 (define @t149 () (tptp.int_leq tptp.int_one @t114)) % 11.71/11.92 (define @t150 () (= @t138 @t149)) % 11.71/11.92 (define @t151 () (not @t103)) % 11.71/11.92 (define @t152 () (= @t12 @t151)) % 11.71/11.92 (define @t153 () (not @t12)) % 11.71/11.92 (define @t154 () (tptp.plus tptp.int_zero @t104)) % 11.71/11.92 (define @t155 () (= tptp.int_one @t154)) % 11.71/11.92 (define @t156 () (tptp.int_less tptp.int_zero @t104)) % 11.71/11.92 (define @t157 () (not @t156)) % 11.71/11.92 (define @t158 () (not @t155)) % 11.71/11.92 (define @t159 () (or @t158 @t157)) % 11.71/11.92 (define @t160 () (@list @t159)) % 11.71/11.92 (define @t161 () (@list tptp.int_zero @t104)) % 11.71/11.92 (define @t162 () (not (= @t104 @t102))) % 11.71/11.92 (define @t163 () (or @t162 @t99)) % 11.71/11.92 (define @t164 () (forall @t28 @t163)) % 11.71/11.92 (define @t165 () (not @t164)) % 11.71/11.92 (define @t166 () (= @t156 @t165)) % 11.71/11.92 (define @t167 () (not @t105)) % 11.71/11.92 (define @t168 () (= @t156 @t167)) % 11.71/11.92 (define @t169 () (tptp.int_less tptp.int_zero @t106)) % 11.71/11.92 (define @t170 () (not @t169)) % 11.71/11.92 (define @t171 () (tptp.plus tptp.int_zero @t106)) % 11.71/11.92 (define @t172 () (= @t104 @t171)) % 11.71/11.92 (define @t173 () (not @t172)) % 11.71/11.92 (define @t174 () (or @t173 @t170)) % 11.71/11.92 (define @t175 () (not @t174)) % 11.71/11.92 (define @t176 () (not (= @t171 @t104))) % 11.71/11.92 (define @t177 () (or @t176 @t170)) % 11.71/11.92 (define @t178 () (not @t177)) % 11.71/11.92 (define @t179 () (@list @t174)) % 11.71/11.92 (define @t180 () (@list tptp.int_zero @t106)) % 11.71/11.92 (define @t181 () (not (= @t106 @t102))) % 11.71/11.92 (define @t182 () (or @t181 @t99)) % 11.71/11.92 (define @t183 () (forall @t28 @t182)) % 11.71/11.92 (define @t184 () (not @t183)) % 11.71/11.92 (define @t185 () (= @t169 @t184)) % 11.71/11.92 (define @t186 () (not @t107)) % 11.71/11.92 (define @t187 () (= @t169 @t186)) % 11.71/11.92 (define @t188 () (tptp.int_less tptp.int_zero @t108)) % 11.71/11.92 (define @t189 () (not @t188)) % 11.71/11.92 (define @t190 () (tptp.plus tptp.int_zero @t108)) % 11.71/11.92 (define @t191 () (= @t106 @t190)) % 11.71/11.92 (define @t192 () (not @t191)) % 11.71/11.92 (define @t193 () (or @t192 @t189)) % 11.71/11.92 (define @t194 () (not @t193)) % 11.71/11.92 (define @t195 () (not (= @t190 @t106))) % 11.71/11.92 (define @t196 () (or @t195 @t189)) % 11.71/11.92 (define @t197 () (not @t196)) % 11.71/11.92 (define @t198 () (@list @t193)) % 11.71/11.92 (define @t199 () (@list tptp.int_zero @t108)) % 11.71/11.92 (define @t200 () (not (= @t108 @t102))) % 11.71/11.92 (define @t201 () (or @t200 @t99)) % 11.71/11.92 (define @t202 () (forall @t28 @t201)) % 11.71/11.92 (define @t203 () (not @t202)) % 11.71/11.92 (define @t204 () (= @t188 @t203)) % 11.71/11.92 (define @t205 () (not @t109)) % 11.71/11.92 (define @t206 () (= @t188 @t205)) % 11.71/11.92 (define @t207 () (tptp.int_less tptp.int_zero @t110)) % 11.71/11.92 (define @t208 () (not @t207)) % 11.71/11.92 (define @t209 () (tptp.plus tptp.int_zero @t110)) % 11.71/11.92 (define @t210 () (= @t108 @t209)) % 11.71/11.92 (define @t211 () (not @t210)) % 11.71/11.92 (define @t212 () (or @t211 @t208)) % 11.71/11.92 (define @t213 () (not @t212)) % 11.71/11.92 (define @t214 () (not (= @t209 @t108))) % 11.71/11.92 (define @t215 () (or @t214 @t208)) % 11.71/11.92 (define @t216 () (not @t215)) % 11.71/11.92 (define @t217 () (@list @t212)) % 11.71/11.92 (define @t218 () (@list tptp.int_zero @t110)) % 11.71/11.92 (define @t219 () (not (= @t110 @t102))) % 11.71/11.92 (define @t220 () (or @t219 @t99)) % 11.71/11.92 (define @t221 () (forall @t28 @t220)) % 11.71/11.92 (define @t222 () (not @t221)) % 11.71/11.92 (define @t223 () (= @t207 @t222)) % 11.71/11.92 (define @t224 () (not @t111)) % 11.71/11.92 (define @t225 () (= @t207 @t224)) % 11.71/11.92 (define @t226 () (not (tptp.int_less tptp.int_zero @t112))) % 11.71/11.92 (define @t227 () (tptp.plus tptp.int_zero @t112)) % 11.71/11.92 (define @t228 () (= @t110 @t227)) % 11.71/11.92 (define @t229 () (not @t228)) % 11.71/11.92 (define @t230 () (or @t229 @t226)) % 11.71/11.92 (define @t231 () (not @t230)) % 11.71/11.92 (define @t232 () (not (= @t227 @t110))) % 11.71/11.92 (define @t233 () (or @t232 @t226)) % 11.71/11.92 (define @t234 () (not @t233)) % 11.71/11.92 (define @t235 () (tptp.int_leq @t112 @t101)) % 11.71/11.92 (define @t236 () (@var "BOUND_VARIABLE_7671" $$unsorted)) % 11.71/11.92 (define @t237 () (@var "BOUND_VARIABLE_7673" $$unsorted)) % 11.71/11.92 (define @t238 () (or (not (tptp.int_less tptp.int_zero @t236)) (not (= @t1 (tptp.plus @t2 @t236))) (not (tptp.int_leq tptp.int_one @t237)) (not (tptp.int_leq @t237 @t2)) (= tptp.real_zero (tptp.a @t237 (tptp.plus @t237 @t236))))) % 11.71/11.92 (define @t239 () (@var "BOUND_VARIABLE_7662" $$unsorted)) % 11.71/11.92 (define @t240 () (or (not (tptp.int_leq tptp.int_one @t239)) (not (tptp.int_leq @t239 @t1)) (= tptp.real_one (tptp.a @t239 @t239)))) % 11.71/11.92 (define @t241 () (@var "BOUND_VARIABLE_7647" $$unsorted)) % 11.71/11.92 (define @t242 () (@var "BOUND_VARIABLE_7645" $$unsorted)) % 11.71/11.92 (define @t243 () (or (not (tptp.int_less tptp.int_zero @t242)) (not (= @t2 (tptp.plus @t1 @t242))) (not (tptp.int_leq tptp.int_one @t241)) (not (tptp.int_leq @t241 @t1)) (= tptp.real_zero (tptp.a (tptp.plus @t241 @t242) @t241)))) % 11.71/11.92 (define @t244 () (and @t243 @t240 @t238)) % 11.71/11.92 (define @t245 () (not @t61)) % 11.71/11.92 (define @t246 () (not @t32)) % 11.71/11.92 (define @t247 () (or @t246 @t74 @t76 @t245 @t244)) % 11.71/11.92 (define @t248 () (@list @t242 @t241 @t239 @t236 @t237)) % 11.71/11.92 (define @t249 () (forall @t248 @t247)) % 11.71/11.92 (define @t250 () (forall (@list @t236 @t237) @t238)) % 11.71/11.92 (define @t251 () (@var "BOUND_VARIABLE_7619" $$unsorted)) % 11.71/11.92 (define @t252 () (forall @t248 @t238)) % 11.71/11.92 (define @t253 () (forall (@list @t239) @t240)) % 11.71/11.92 (define @t254 () (@list @t7)) % 11.71/11.92 (define @t255 () (forall @t248 @t240)) % 11.71/11.92 (define @t256 () (forall (@list @t242 @t241) @t243)) % 11.71/11.92 (define @t257 () (@var "BOUND_VARIABLE_7584" $$unsorted)) % 11.71/11.92 (define @t258 () (forall @t248 @t243)) % 11.71/11.92 (define @t259 () (and @t258 @t255 @t252)) % 11.71/11.92 (define @t260 () (forall @t248 @t244)) % 11.71/11.92 (define @t261 () (or @t246 @t74 @t76 @t245 @t260)) % 11.71/11.92 (define @t262 () (= tptp.real_zero (tptp.a @t251 (tptp.plus @t251 @t34)))) % 11.71/11.92 (define @t263 () (not (tptp.int_leq @t251 @t2))) % 11.71/11.92 (define @t264 () (not (tptp.int_leq tptp.int_one @t251))) % 11.71/11.92 (define @t265 () (not @t42)) % 11.71/11.92 (define @t266 () (not @t43)) % 11.71/11.92 (define @t267 () (or @t266 @t265 @t264 @t263 @t262)) % 11.71/11.92 (define @t268 () (@list @t34 @t251)) % 11.71/11.92 (define @t269 () (= tptp.real_one @t48)) % 11.71/11.92 (define @t270 () (not @t49)) % 11.71/11.92 (define @t271 () (not @t38)) % 11.71/11.92 (define @t272 () (or @t271 @t270 @t269)) % 11.71/11.92 (define @t273 () (= tptp.real_zero (tptp.a (tptp.plus @t257 @t34) @t257))) % 11.71/11.92 (define @t274 () (not (tptp.int_leq @t257 @t1))) % 11.71/11.92 (define @t275 () (not (tptp.int_leq tptp.int_one @t257))) % 11.71/11.92 (define @t276 () (not @t56)) % 11.71/11.92 (define @t277 () (or @t266 @t276 @t275 @t274 @t273)) % 11.71/11.92 (define @t278 () (@list @t34 @t257)) % 11.71/11.92 (define @t279 () (and (forall @t278 @t277) (forall @t28 @t272) (forall @t268 @t267))) % 11.71/11.92 (define @t280 () (or @t246 @t74 @t76 @t245 @t279)) % 11.71/11.92 (define @t281 () (or @t246 @t74 @t76 @t245)) % 11.71/11.92 (define @t282 () (or @t264 @t263 @t262)) % 11.71/11.92 (define @t283 () (or @t266 @t265 @t282)) % 11.71/11.92 (define @t284 () (forall @t268 @t283)) % 11.71/11.92 (define @t285 () (@list @t251)) % 11.71/11.92 (define @t286 () (forall @t285 @t283)) % 11.71/11.92 (define @t287 () (forall @t285 @t282)) % 11.71/11.92 (define @t288 () (or @t266 @t265 @t287)) % 11.71/11.92 (define @t289 () (= tptp.real_zero @t36)) % 11.71/11.92 (define @t290 () (not @t37)) % 11.71/11.92 (define @t291 () (or @t271 @t290 @t289)) % 11.71/11.92 (define @t292 () (forall @t28 @t291)) % 11.71/11.92 (define @t293 () (or @t266 @t265 @t292)) % 11.71/11.92 (define @t294 () (or @t271 @t270)) % 11.71/11.92 (define @t295 () (not @t50)) % 11.71/11.92 (define @t296 () (or @t275 @t274 @t273)) % 11.71/11.92 (define @t297 () (or @t266 @t276 @t296)) % 11.71/11.92 (define @t298 () (forall @t278 @t297)) % 11.71/11.92 (define @t299 () (@list @t257)) % 11.71/11.92 (define @t300 () (forall @t299 @t297)) % 11.71/11.92 (define @t301 () (forall @t299 @t296)) % 11.71/11.92 (define @t302 () (or @t266 @t276 @t301)) % 11.71/11.92 (define @t303 () (= tptp.real_zero @t53)) % 11.71/11.92 (define @t304 () (or @t271 @t270 @t303)) % 11.71/11.92 (define @t305 () (forall @t28 @t304)) % 11.71/11.92 (define @t306 () (or @t266 @t276 @t305)) % 11.71/11.92 (define @t307 () (tptp.a @t133 @t79)) % 11.71/11.92 (define @t308 () (= tptp.real_zero @t307)) % 11.71/11.92 (define @t309 () (tptp.int_leq @t79 @t79)) % 11.71/11.92 (define @t310 () (tptp.int_less @t79 @t79)) % 11.71/11.92 (define @t311 () (or @t310 (= @t79 @t79))) % 11.71/11.92 (define @t312 () (= @t309 @t311)) % 11.71/11.92 (define @t313 () (@list @t6)) % 11.71/11.92 (define @t314 () (not @t309)) % 11.71/11.92 (define @t315 () (or @t132 @t135 @t92 @t314 @t308)) % 11.71/11.92 (define @t316 () (not @t315)) % 11.71/11.92 (define @t317 () (and @t315 (or @t92 @t314 (= tptp.real_one (tptp.a @t79 @t79))) (or @t153 (not (= @t79 (tptp.plus @t86 tptp.int_one))) (not (tptp.int_leq tptp.int_one tptp.int_zero)) (not (tptp.int_leq tptp.int_zero @t86)) (= tptp.real_zero (tptp.a tptp.int_zero (tptp.plus tptp.int_zero tptp.int_one)))))) % 11.71/11.92 (define @t318 () (not @t317)) % 11.71/11.92 (define @t319 () (tptp.int_less @t79 tptp.n)) % 11.71/11.92 (define @t320 () (or @t319 (= @t79 tptp.n))) % 11.71/11.92 (define @t321 () (tptp.int_leq @t79 tptp.n)) % 11.71/11.92 (define @t322 () (= @t321 @t320)) % 11.71/11.92 (define @t323 () (or @t319 (= tptp.n @t79))) % 11.71/11.92 (define @t324 () (= @t321 @t323)) % 11.71/11.92 (define @t325 () (not @t9)) % 11.71/11.92 (define @t326 () (not @t4)) % 11.71/11.92 (define @t327 () (tptp.int_less @t86 tptp.n)) % 11.71/11.92 (define @t328 () (not @t327)) % 11.71/11.92 (define @t329 () (or @t91 @t328 @t319)) % 11.71/11.92 (define @t330 () (or @t327 (= @t86 tptp.n))) % 11.71/11.92 (define @t331 () (= @t88 @t330)) % 11.71/11.92 (define @t332 () (= tptp.n @t86)) % 11.71/11.92 (define @t333 () (or @t327 @t332)) % 11.71/11.92 (define @t334 () (= @t88 @t333)) % 11.71/11.92 (define @t335 () (not @t332)) % 11.71/11.92 (define @t336 () (not @t319)) % 11.71/11.92 (define @t337 () (not @t321)) % 11.71/11.92 (define @t338 () (tptp.int_leq tptp.int_one @t86)) % 11.71/11.92 (define @t339 () (not @t338)) % 11.71/11.92 (define @t340 () (or @t339 @t89 @t92 @t337 @t317)) % 11.71/11.92 (define @t341 () (tptp.int_leq @t227 @t133)) % 11.71/11.92 (define @t342 () (not @t341)) % 11.71/11.92 (define @t343 () (tptp.plus @t110 tptp.int_zero)) % 11.71/11.92 (define @t344 () (= @t110 @t343)) % 11.71/11.92 (define @t345 () (not @t344)) % 11.71/11.92 (define @t346 () (tptp.plus @t108 tptp.int_zero)) % 11.71/11.92 (define @t347 () (= @t108 @t346)) % 11.71/11.92 (define @t348 () (not @t347)) % 11.71/11.92 (define @t349 () (= @t209 @t343)) % 11.71/11.92 (define @t350 () (not @t349)) % 11.71/11.92 (define @t351 () (tptp.plus @t106 tptp.int_zero)) % 11.71/11.92 (define @t352 () (= @t106 @t351)) % 11.71/11.92 (define @t353 () (not @t352)) % 11.71/11.92 (define @t354 () (= @t190 @t346)) % 11.71/11.92 (define @t355 () (not @t354)) % 11.71/11.92 (define @t356 () (tptp.plus @t104 tptp.int_zero)) % 11.71/11.92 (define @t357 () (= @t104 @t356)) % 11.71/11.92 (define @t358 () (not @t357)) % 11.71/11.92 (define @t359 () (= @t171 @t351)) % 11.71/11.92 (define @t360 () (not @t359)) % 11.71/11.92 (define @t361 () (= @t154 @t356)) % 11.71/11.92 (define @t362 () (not @t361)) % 11.71/11.92 (define @t363 () (and @t155 @t134 @t361 @t339 @t172 @t359 @t357 @t191 @t354 @t352 @t210 @t349 @t347 @t228 @t344)) % 11.71/11.92 (define @t364 () (not @t235)) % 11.71/11.92 (define @t365 () (not @t80)) % 11.71/11.92 (define @t366 () (or @t365 @t364 @t341)) % 11.71/11.92 (assume @p1 @t6) % 11.71/11.92 (assume @p2 @t11) % 11.71/11.92 (assume @p3 (forall @t5 (=> @t4 (not @t3)))) % 11.71/11.92 (assume @p4 (forall @t5 (or @t4 (tptp.int_leq @t1 @t2)))) % 11.71/11.92 (assume @p5 @t12) % 11.71/11.92 (assume @p6 (forall @t5 (= (tptp.plus @t2 @t1) (tptp.plus @t1 @t2)))) % 11.71/11.92 (assume @p7 @t15) % 11.71/11.92 (assume @p8 @t24) % 11.71/11.92 (assume @p9 @t31) % 11.71/11.92 (assume @p10 @t33) % 11.71/11.92 (assume @p11 (not (= tptp.real_zero tptp.real_one))) % 11.71/11.92 (assume @p12 @t66) % 11.71/11.92 (assume @p13 @t72) % 11.71/11.92 (assume @p14 true) % 11.71/11.92 (step @p15 :rule eq-symm :args (@t80 @t81)) % 11.71/11.92 (step @p16 :rule refl :args (@t33)) % 11.71/11.92 (step @p17 :rule cong :premises (@p16 @p15) :args ((=> @t33 @t82))) % 11.71/11.92 (assume-push @p744 @t33) % 11.71/11.92 (step @p19 :rule instantiate :premises (@p10) :args ((@list @t79))) % 11.71/11.92 (step-pop @p745 :rule scope :premises (@p19)) % 11.71/11.92 (step @p20 :rule process_scope :premises (@p745) :args (@t82)) % 11.71/11.92 (step @p22 :rule eq_resolve :premises (@p20 @p17)) % 11.71/11.92 (step @p23 :rule implies_elim :premises (@p22)) % 11.71/11.92 (step @p24 :rule chain_m_resolution :premises (@p23 @p10) :args (@t83 @t84 (@list @t33))) % 11.71/11.92 (step @p25 :rule aci_norm :args ((= (or @t85 @t73) @t77))) % 11.71/11.92 (step @p26 :rule refl :args (@t73)) % 11.71/11.92 (step @p27 :rule aci_norm :args ((= (or @t76 (or @t75 @t74)) @t85))) % 11.71/11.92 (step @p28 :rule bool-and-de-morgan :args (@t68 @t63 true)) % 11.71/11.92 (step @p29 :rule refl :args (@t76)) % 11.71/11.92 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t76 (not (and @t68 @t63))))) % 11.71/11.92 (step @p31 :rule bool-and-de-morgan :args (@t62 @t68 (and @t63))) % 11.71/11.92 (step @p32 :rule trans :premises (@p31 @p30)) % 11.71/11.92 (step @p33 :rule trans :premises (@p32 @p27)) % 11.71/11.92 (step @p34 :rule nary_cong :premises (@p33 @p26) :args ((or (not @t69) @t73))) % 11.71/11.92 (step @p35 :rule trans :premises (@p34 @p25)) % 11.71/11.92 (step @p36 :rule bool-impl-elim :args (@t69 @t73)) % 11.71/11.92 (step @p37 :rule trans :premises (@p36 @p35)) % 11.71/11.92 (step @p38 :rule cong :premises (@p37) :args ((forall @t5 (=> @t69 @t73)))) % 11.71/11.92 (step @p39 :rule eq-symm :args (@t67 tptp.real_zero)) % 11.71/11.92 (step @p40 :rule refl :args (@t69)) % 11.71/11.92 (step @p41 :rule cong :premises (@p40 @p39) :args (@t70)) % 11.71/11.92 (step @p42 :rule cong :premises (@p41) :args (@t71)) % 11.71/11.92 (step @p43 :rule trans :premises (@p42 @p38)) % 11.71/11.92 (step @p44 :rule cong :premises (@p43) :args (@t72)) % 11.71/11.92 (step @p45 :rule eq_resolve :premises (@p13 @p44)) % 11.71/11.92 (step @p46 :rule skolemize :premises (@p45)) % 11.71/11.92 (step @p47 :rule bool-double-not-elim :args (@t81)) % 11.71/11.92 (step @p48 :rule refl :args (@t93)) % 11.71/11.92 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t93 (not @t92)))) % 11.71/11.92 (step @p50 :rule cnf_or_neg :args (@t93 0)) % 11.71/11.92 (step @p51 :rule eq_resolve :premises (@p50 @p49)) % 11.71/11.92 (step @p52 :rule reordering :premises (@p51) :args ((or @t81 @t93))) % 11.71/11.92 (step @p53 :rule chain_m_resolution :premises (@p52 @p46) :args (@t81 @t94 @t95)) % 11.71/11.92 (step @p54 :rule cnf_equiv_pos1 :args (@t83)) % 11.71/11.92 (step @p55 :rule reordering :premises (@p54) :args ((or @t92 @t80 (not @t83)))) % 11.71/11.92 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p24) :args (@t80 @t96 (@list @t81 @t83))) % 11.71/11.92 (step @p57 :rule aci_norm :args ((= (or (or @t98 @t97) @t20) (or @t98 @t97 @t20)))) % 11.71/11.92 (step @p58 :rule refl :args (@t20)) % 11.71/11.92 (step @p59 :rule bool-and-de-morgan :args (@t22 @t21 true)) % 11.71/11.92 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or (not @t23) @t20))) % 11.71/11.92 (step @p61 :rule trans :premises (@p60 @p57)) % 11.71/11.92 (step @p62 :rule bool-impl-elim :args (@t23 @t20)) % 11.71/11.92 (step @p63 :rule trans :premises (@p62 @p61)) % 11.71/11.92 (step @p64 :rule cong :premises (@p63) :args (@t24)) % 11.71/11.92 (step @p65 :rule eq_resolve :premises (@p8 @p64)) % 11.71/11.92 (step @p66 :rule instantiate :premises (@p65) :args ((@list tptp.int_zero @t79 @t112 @t101))) % 11.71/11.92 (step @p67 :rule instantiate :premises (@p10) :args (@t115)) % 11.71/11.92 (step @p68 :rule bool-and-de-morgan :args (@t116 @t25 true)) % 11.71/11.92 (step @p69 :rule cong :premises (@p68) :args (@t118)) % 11.71/11.92 (step @p70 :rule cong :premises (@p69) :args (@t119)) % 11.71/11.92 (step @p71 :rule exists-elim :args ((= (exists @t28 @t117) @t119))) % 11.71/11.92 (step @p72 :rule trans :premises (@p71 @p70)) % 11.71/11.92 (step @p73 :rule refl :args (@t25)) % 11.71/11.92 (step @p74 :rule eq-symm :args (@t26 @t1)) % 11.71/11.92 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t27)) % 11.71/11.92 (step @p76 :rule cong :premises (@p75) :args (@t29)) % 11.71/11.92 (step @p77 :rule trans :premises (@p76 @p72)) % 11.71/11.92 (step @p78 :rule refl :args (@t4)) % 11.71/11.92 (step @p79 :rule cong :premises (@p78 @p77) :args (@t30)) % 11.71/11.92 (step @p80 :rule cong :premises (@p79) :args (@t31)) % 11.71/11.92 (step @p81 :rule eq_resolve :premises (@p9 @p80)) % 11.71/11.92 (step @p82 :rule refl :args (@t99)) % 11.71/11.92 (step @p83 :rule eq-symm :args (@t101 @t102)) % 11.71/11.92 (step @p84 :rule cong :premises (@p83) :args (@t120)) % 11.71/11.92 (step @p85 :rule nary_cong :premises (@p84 @p82) :args (@t121)) % 11.71/11.92 (step @p86 :rule cong :premises (@p85) :args (@t122)) % 11.71/11.92 (step @p87 :rule cong :premises (@p86) :args (@t123)) % 11.71/11.92 (step @p88 :rule refl :args (@t124)) % 11.71/11.92 (step @p89 :rule cong :premises (@p88 @p87) :args (@t125)) % 11.71/11.92 (step @p90 :rule refl :args (@t126)) % 11.71/11.92 (step @p91 :rule cong :premises (@p90 @p89) :args ((=> @t126 @t125))) % 11.71/11.92 (assume-push @p746 @t126) % 11.71/11.92 (step @p93 :rule instantiate :premises (@p81) :args ((@list tptp.int_zero @t101))) % 11.71/11.92 (step-pop @p747 :rule scope :premises (@p93)) % 11.71/11.92 (step @p94 :rule process_scope :premises (@p747) :args (@t125)) % 11.71/11.92 (step @p96 :rule eq_resolve :premises (@p94 @p91)) % 11.71/11.92 (step @p97 :rule implies_elim :premises (@p96)) % 11.71/11.92 (step @p98 :rule chain_m_resolution :premises (@p97 @p81) :args (@t128 @t84 @t129)) % 11.71/11.92 (step @p99 :rule instantiate :premises (@p81) :args ((@list @t79 @t86))) % 11.71/11.92 (step @p100 :rule bool-double-not-elim :args (@t90)) % 11.71/11.92 (step @p101 :rule nary_cong :premises (@p48 @p100) :args ((or @t93 (not @t91)))) % 11.71/11.92 (step @p102 :rule cnf_or_neg :args (@t93 1)) % 11.71/11.92 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 11.71/11.92 (step @p104 :rule reordering :premises (@p103) :args ((or @t90 @t93))) % 11.71/11.92 (step @p105 :rule chain_m_resolution :premises (@p104 @p46) :args (@t90 @t94 @t95)) % 11.71/11.92 (step @p106 :rule cnf_equiv_pos1 :args (@t131)) % 11.71/11.92 (step @p107 :rule reordering :premises (@p106) :args ((or @t91 @t130 (not @t131)))) % 11.71/11.92 (step @p108 :rule chain_m_resolution :premises (@p107 @p105 @p99) :args (@t130 @t96 (@list @t90 @t131))) % 11.71/11.92 (step @p109 :rule skolemize :premises (@p108)) % 11.71/11.92 (step @p110 :rule bool-double-not-elim :args (@t124)) % 11.71/11.92 (step @p111 :rule refl :args (@t136)) % 11.71/11.92 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or @t136 (not @t132)))) % 11.71/11.92 (step @p113 :rule cnf_or_neg :args (@t136 1)) % 11.71/11.92 (step @p114 :rule eq_resolve :premises (@p113 @p112)) % 11.71/11.92 (step @p115 :rule reordering :premises (@p114) :args ((or @t124 @t136))) % 11.71/11.92 (step @p116 :rule chain_m_resolution :premises (@p115 @p109) :args (@t124 @t94 @t137)) % 11.71/11.92 (step @p117 :rule cnf_equiv_pos1 :args (@t128)) % 11.71/11.92 (step @p118 :rule reordering :premises (@p117) :args ((or @t132 @t127 (not @t128)))) % 11.71/11.92 (step @p119 :rule chain_m_resolution :premises (@p118 @p116 @p98) :args (@t127 @t96 (@list @t124 @t128))) % 11.71/11.92 (step @p120 :rule refl :args (@t144)) % 11.71/11.92 (step @p121 :rule bool-double-not-elim :args (@t113)) % 11.71/11.92 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or (not @t127) @t144))) % 11.71/11.92 (step @p123 :rule refl :args (@t139)) % 11.71/11.92 (step @p124 :rule eq-symm :args (@t140 @t101)) % 11.71/11.92 (step @p125 :rule cong :premises (@p124) :args (@t145)) % 11.71/11.92 (step @p126 :rule nary_cong :premises (@p125 @p123) :args (@t146)) % 11.71/11.92 (step @p127 :rule cong :premises (@p126) :args (@t147)) % 11.71/11.92 (step @p128 :rule refl :args (@t127)) % 11.71/11.92 (step @p129 :rule cong :premises (@p128 @p127) :args ((=> @t127 @t147))) % 11.71/11.92 (assume-push @p748 @t127) % 11.71/11.92 (step @p131 :rule skolemize :premises (@p119)) % 11.71/11.92 (step-pop @p749 :rule scope :premises 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@p546)) % 11.71/11.93 (step @p555 :rule refl :args (@t6)) % 11.71/11.93 (step @p556 :rule cong :premises (@p555 @p554) :args ((=> @t6 @t312))) % 11.71/11.93 (assume-push @p766 @t6) % 11.71/11.93 (step @p558 :rule instantiate :premises (@p1) :args ((@list @t79 @t79))) % 11.71/11.93 (step-pop @p767 :rule scope :premises (@p558)) % 11.71/11.93 (step @p559 :rule process_scope :premises (@p767) :args (@t312)) % 11.71/11.93 (step @p561 :rule eq_resolve :premises (@p559 @p556)) % 11.71/11.93 (step @p562 :rule implies_elim :premises (@p561)) % 11.71/11.93 (step @p563 :rule chain_m_resolution :premises (@p562 @p1) :args (@t309 @t84 @t313)) % 11.71/11.93 (step @p564 :rule cnf_or_pos :args (@t315)) % 11.71/11.93 (step @p565 :rule reordering :premises (@p564) :args ((or @t92 @t314 @t135 @t132 @t308 @t316))) % 11.71/11.93 (step @p566 :rule chain_m_resolution :premises (@p565 @p53 @p563 @p539 @p116 @p545) :args (@t316 (@list false false false false true) (@list @t81 @t309 @t134 @t124 @t308))) % 11.71/11.93 (step @p567 :rule cnf_and_pos :args (@t317 0)) % 11.71/11.93 (step @p568 :rule reordering :premises (@p567) :args ((or @t315 @t318))) % 11.71/11.93 (step @p569 :rule chain_m_resolution :premises (@p568 @p566) :args (@t318 @t94 (@list @t315))) % 11.71/11.93 (step @p570 :rule eq-symm :args (@t79 tptp.n)) % 11.71/11.93 (step @p571 :rule refl :args (@t319)) % 11.71/11.93 (step @p572 :rule nary_cong :premises (@p571 @p570) :args (@t320)) % 11.71/11.93 (step @p573 :rule refl :args (@t321)) % 11.71/11.93 (step @p574 :rule cong :premises (@p573 @p572) :args (@t322)) % 11.71/11.93 (step @p575 :rule cong :premises (@p555 @p574) :args ((=> @t6 @t322))) % 11.71/11.93 (assume-push @p768 @t6) % 11.71/11.93 (step @p577 :rule instantiate :premises (@p1) :args ((@list @t79 tptp.n))) % 11.71/11.93 (step-pop @p769 :rule scope :premises (@p577)) % 11.71/11.93 (step @p578 :rule process_scope :premises (@p769) :args (@t322)) % 11.71/11.93 (step @p580 :rule eq_resolve :premises (@p578 @p575)) % 11.71/11.93 (step @p581 :rule implies_elim :premises (@p580)) % 11.71/11.93 (step @p582 :rule chain_m_resolution :premises (@p581 @p1) :args (@t324 @t84 @t313)) % 11.71/11.93 (step @p583 :rule aci_norm :args ((= (or (or @t326 @t325) @t8) (or @t326 @t325 @t8)))) % 11.71/11.93 (step @p584 :rule refl :args (@t8)) % 11.71/11.93 (step @p585 :rule bool-and-de-morgan :args (@t4 @t9 true)) % 11.71/11.93 (step @p586 :rule nary_cong :premises (@p585 @p584) :args ((or (not @t10) @t8))) % 11.71/11.93 (step @p587 :rule trans :premises (@p586 @p583)) % 11.71/11.93 (step @p588 :rule bool-impl-elim :args (@t10 @t8)) % 11.71/11.93 (step @p589 :rule trans :premises (@p588 @p587)) % 11.71/11.93 (step @p590 :rule cong :premises (@p589) :args (@t11)) % 11.71/11.93 (step @p591 :rule eq_resolve :premises (@p2 @p590)) % 11.71/11.93 (step @p592 :rule instantiate :premises (@p591) :args ((@list @t79 @t86 tptp.n))) % 11.71/11.93 (step @p593 :rule cnf_or_pos :args (@t329)) % 11.71/11.93 (step @p594 :rule reordering :premises (@p593) :args ((or @t91 @t328 @t319 (not @t329)))) % 11.71/11.93 (step @p595 :rule eq-symm :args (@t86 tptp.n)) % 11.71/11.93 (step @p596 :rule refl :args (@t327)) % 11.71/11.93 (step @p597 :rule nary_cong :premises (@p596 @p595) :args (@t330)) % 11.71/11.93 (step @p598 :rule refl :args (@t88)) % 11.71/11.93 (step @p599 :rule cong :premises (@p598 @p597) :args (@t331)) % 11.71/11.93 (step @p600 :rule cong :premises (@p555 @p599) :args ((=> @t6 @t331))) % 11.71/11.93 (assume-push @p770 @t6) % 11.71/11.93 (step @p602 :rule instantiate :premises (@p1) :args ((@list @t86 tptp.n))) % 11.71/11.93 (step-pop @p771 :rule scope :premises (@p602)) % 11.71/11.93 (step @p603 :rule process_scope :premises (@p771) :args (@t331)) % 11.71/11.93 (step @p605 :rule eq_resolve :premises (@p603 @p600)) % 11.71/11.93 (step @p606 :rule implies_elim :premises (@p605)) % 11.71/11.93 (step @p607 :rule chain_m_resolution :premises (@p606 @p1) :args (@t334 @t84 @t313)) % 11.71/11.93 (step @p608 :rule bool-double-not-elim :args (@t88)) % 11.71/11.93 (step @p609 :rule nary_cong :premises (@p48 @p608) :args ((or @t93 (not @t89)))) % 11.71/11.93 (step @p610 :rule cnf_or_neg :args (@t93 2)) % 11.71/11.93 (step @p611 :rule eq_resolve :premises (@p610 @p609)) % 11.71/11.93 (step @p612 :rule reordering :premises (@p611) :args ((or @t88 @t93))) % 11.71/11.93 (step @p613 :rule chain_m_resolution :premises (@p612 @p46) :args (@t88 @t94 @t95)) % 11.71/11.93 (step @p614 :rule cnf_equiv_pos1 :args (@t334)) % 11.71/11.93 (step @p615 :rule reordering :premises (@p614) :args ((or @t89 @t333 (not @t334)))) % 11.71/11.93 (step @p616 :rule chain_m_resolution :premises (@p615 @p613 @p607) :args (@t333 @t96 (@list @t88 @t334))) % 11.71/11.93 (step @p617 :rule cnf_or_pos :args (@t333)) % 11.71/11.93 (step @p618 :rule reordering :premises (@p617) :args ((or @t327 @t332 (not @t333)))) % 11.71/11.93 (step @p619 :rule bool-double-not-elim :args (@t319)) % 11.71/11.93 (step @p620 :rule refl :args (@t335)) % 11.71/11.93 (step @p621 :rule refl :args (@t91)) % 11.71/11.93 (step @p622 :rule nary_cong :premises (@p621 @p620 @p619) :args ((or @t91 @t335 (not @t336)))) % 11.71/11.93 (assume-push @p772 @t90) % 11.71/11.93 (assume-push @p773 @t332) % 11.71/11.93 (assume-push @p774 @t336) % 11.71/11.93 (step @p626 :rule evaluate :args ((= false true))) % 11.71/11.93 (step @p627 :rule true_intro :premises (@p105)) % 11.71/11.93 (step @p628 :rule cong :premises (@p533 @p773) :args (@t319)) % 11.71/11.93 (step @p629 :rule false_intro :premises (@p774)) % 11.71/11.93 (step @p630 :rule symm :premises (@p629)) % 11.71/11.93 (step @p631 :rule trans :premises (@p630 @p628 @p627)) % 11.71/11.93 (step @p632 false :rule eq_resolve :premises (@p631 @p626)) % 11.71/11.93 (step-pop @p775 :rule scope :premises (@p632)) % 11.71/11.93 (step-pop @p776 :rule scope :premises (@p775)) % 11.71/11.93 (step-pop @p777 :rule scope :premises (@p776)) % 11.71/11.93 (step @p633 :rule process_scope :premises (@p777) :args (false)) % 11.71/11.93 (step @p637 :rule not_and :premises (@p633)) % 11.71/11.93 (step @p638 :rule eq_resolve :premises (@p637 @p622)) % 11.71/11.93 (step @p639 :rule chain_m_resolution :premises (@p638 @p105 @p618 @p616 @p594 @p592 @p105) :args (@t319 (@list false false false true false false) (@list @t90 @t332 @t333 @t327 @t329 @t90))) % 11.71/11.93 (step @p640 :rule cnf_or_neg :args (@t323 0)) % 11.71/11.93 (step @p641 :rule chain_m_resolution :premises (@p640 @p639) :args (@t323 @t84 (@list @t319))) % 11.71/11.93 (step @p642 :rule cnf_equiv_pos2 :args (@t324)) % 11.71/11.93 (step @p643 :rule reordering :premises (@p642) :args ((or @t321 (not @t323) (not @t324)))) % 11.71/11.93 (step @p644 :rule chain_m_resolution :premises (@p643 @p641 @p582) :args (@t321 @t96 (@list @t323 @t324))) % 11.71/11.93 (step @p645 :rule cnf_or_pos :args (@t340)) % 11.71/11.93 (step @p646 :rule reordering :premises (@p645) :args ((or @t92 @t89 @t337 @t339 @t317 (not @t340)))) % 11.71/11.93 (step @p647 :rule chain_m_resolution :premises (@p646 @p53 @p613 @p644 @p569 @p529) :args (@t339 (@list false false false true false) (@list @t81 @t88 @t321 @t317 @t340))) % 11.71/11.93 (step @p648 :rule refl :args (@t342)) % 11.71/11.93 (step @p649 :rule refl :args (@t345)) % 11.71/11.93 (step @p650 :rule refl :args (@t229)) % 11.71/11.93 (step @p651 :rule refl :args (@t348)) % 11.71/11.93 (step @p652 :rule refl :args (@t350)) % 11.71/11.93 (step @p653 :rule refl :args (@t211)) % 11.71/11.93 (step @p654 :rule refl :args (@t353)) % 11.71/11.93 (step @p655 :rule refl :args (@t355)) % 11.71/11.93 (step @p656 :rule refl :args (@t192)) % 11.71/11.93 (step @p657 :rule refl :args (@t358)) % 11.71/11.93 (step @p658 :rule refl :args (@t360)) % 11.71/11.93 (step @p659 :rule refl :args (@t173)) % 11.71/11.93 (step @p660 :rule bool-double-not-elim :args (@t338)) % 11.71/11.93 (step @p661 :rule refl :args (@t362)) % 11.71/11.93 (step @p662 :rule refl :args (@t135)) % 11.71/11.93 (step @p663 :rule refl :args (@t158)) % 11.71/11.93 (step @p664 :rule nary_cong :premises (@p663 @p662 @p661 @p660 @p659 @p658 @p657 @p656 @p655 @p654 @p653 @p652 @p651 @p650 @p649 @p648) :args ((or @t158 @t135 @t362 (not @t339) @t173 @t360 @t358 @t192 @t355 @t353 @t211 @t350 @t348 @t229 @t345 @t342))) % 11.71/11.93 (assume-push @p778 @t155) % 11.71/11.93 (assume-push @p779 @t134) % 11.71/11.93 (assume-push @p780 @t361) % 11.71/11.93 (assume-push @p781 @t339) % 11.71/11.93 (assume-push @p782 @t172) % 11.71/11.93 (assume-push @p783 @t359) % 11.71/11.93 (assume-push @p784 @t357) % 11.71/11.93 (assume-push @p785 @t191) % 11.71/11.93 (assume-push @p786 @t354) % 11.71/11.93 (assume-push @p787 @t352) % 11.71/11.93 (assume-push @p788 @t210) % 11.71/11.93 (assume-push @p789 @t349) % 11.71/11.93 (assume-push @p790 @t347) % 11.71/11.93 (assume-push @p791 @t228) % 11.71/11.93 (assume-push @p792 @t344) % 11.71/11.93 (assume-push @p793 @t339) % 11.71/11.93 (assume-push @p794 @t155) % 11.71/11.93 (assume-push @p795 @t361) % 11.71/11.93 (assume-push @p796 @t357) % 11.71/11.93 (assume-push @p797 @t172) % 11.71/11.93 (assume-push @p798 @t359) % 11.71/11.93 (assume-push @p799 @t352) % 11.71/11.93 (assume-push @p800 @t191) % 11.71/11.93 (assume-push @p801 @t354) % 11.71/11.93 (assume-push @p802 @t347) % 11.71/11.93 (assume-push @p803 @t210) % 11.71/11.93 (assume-push @p804 @t349) % 11.71/11.93 (assume-push @p805 @t344) % 11.71/11.93 (assume-push @p806 @t228) % 11.71/11.93 (assume-push @p807 @t134) % 11.71/11.93 (step @p695 :rule false_intro :premises (@p781)) % 11.71/11.93 (step @p696 :rule trans :premises (@p337 @p336 @p334 @p284 @p283 @p281 @p231 @p230 @p228)) % 11.71/11.93 (step @p697 :rule trans :premises (@p387 @p696 @p178)) % 11.71/11.93 (step @p698 :rule cong :premises (@p697 @p540) :args (@t341)) % 11.71/11.93 (step @p699 :rule trans :premises (@p698 @p695)) % 11.71/11.93 (step @p700 :rule false_elim :premises (@p699)) % 11.71/11.93 (step-pop @p808 :rule scope :premises (@p700)) % 11.71/11.93 (step-pop @p809 :rule scope :premises (@p808)) % 11.71/11.93 (step-pop @p810 :rule scope :premises (@p809)) % 11.71/11.93 (step-pop @p811 :rule scope :premises (@p810)) % 11.71/11.93 (step-pop @p812 :rule scope :premises (@p811)) % 11.71/11.93 (step-pop @p813 :rule scope :premises (@p812)) % 11.71/11.93 (step-pop @p814 :rule scope :premises (@p813)) % 11.71/11.93 (step-pop @p815 :rule scope :premises (@p814)) % 11.71/11.93 (step-pop @p816 :rule scope :premises (@p815)) % 11.71/11.93 (step-pop @p817 :rule scope :premises (@p816)) % 11.71/11.93 (step-pop @p818 :rule scope :premises (@p817)) % 11.71/11.93 (step-pop @p819 :rule scope :premises (@p818)) % 11.71/11.93 (step-pop @p820 :rule scope :premises (@p819)) % 11.71/11.93 (step-pop @p821 :rule scope :premises (@p820)) % 11.71/11.93 (step-pop @p822 :rule scope :premises (@p821)) % 11.71/11.93 (step @p701 :rule process_scope :premises (@p822) :args (@t342)) % 11.71/11.93 (step @p717 :rule and_intro :premises (@p781 @p173 @p175 @p177 @p227 @p229 @p231 @p280 @p282 @p284 @p333 @p335 @p337 @p386 @p539)) % 11.71/11.93 (step @p718 :rule modus_ponens :premises (@p717 @p701)) % 11.71/11.93 (step-pop @p823 :rule scope :premises (@p718)) % 11.71/11.93 (step-pop @p824 :rule scope :premises (@p823)) % 11.71/11.93 (step-pop @p825 :rule scope :premises (@p824)) % 11.71/11.93 (step-pop @p826 :rule scope :premises (@p825)) % 11.71/11.93 (step-pop @p827 :rule scope :premises (@p826)) % 11.71/11.93 (step-pop @p828 :rule scope :premises (@p827)) % 11.71/11.93 (step-pop @p829 :rule scope :premises (@p828)) % 11.71/11.93 (step-pop @p830 :rule scope :premises (@p829)) % 11.71/11.93 (step-pop @p831 :rule scope :premises (@p830)) % 11.71/11.93 (step-pop @p832 :rule scope :premises (@p831)) % 11.71/11.93 (step-pop @p833 :rule scope :premises (@p832)) % 11.71/11.93 (step-pop @p834 :rule scope :premises (@p833)) % 11.71/11.93 (step-pop @p835 :rule scope :premises (@p834)) % 11.71/11.93 (step-pop @p836 :rule scope :premises (@p835)) % 11.71/11.93 (step-pop @p837 :rule scope :premises (@p836)) % 11.71/11.93 (step @p719 :rule process_scope :premises (@p837) :args (@t342)) % 11.71/11.93 (step @p735 :rule implies_elim :premises (@p719)) % 11.71/11.93 (step @p736 :rule cnf_and_neg :args (@t363)) % 11.71/11.93 (step @p737 :rule resolution :premises (@p736 @p735) :args (true @t363)) % 11.71/11.93 (step @p738 :rule eq_resolve :premises (@p737 @p664)) % 11.71/11.93 (step @p739 :rule reordering :premises (@p738) :args ((or @t158 @t135 @t338 @t362 @t173 @t360 @t358 @t192 @t355 @t353 @t211 @t350 @t348 @t229 @t345 @t342))) % 11.71/11.93 (step @p740 :rule chain_m_resolution :premises (@p739 @p173 @p539 @p647 @p175 @p227 @p229 @p177 @p280 @p282 @p231 @p333 @p335 @p284 @p386 @p337) :args (@t342 (@list false false true false false false false false false false false false false false false) (@list @t155 @t134 @t338 @t361 @t172 @t359 @t357 @t191 @t354 @t352 @t210 @t349 @t347 @t228 @t344))) % 11.71/11.93 (step @p741 :rule cnf_or_pos :args (@t366)) % 11.71/11.93 (step @p742 :rule reordering :premises (@p741) :args ((or @t365 @t364 @t341 (not @t366)))) % 11.71/11.93 (step @p743 false :rule chain_m_resolution :premises (@p742 @p740 @p395 @p66 @p56) :args (false (@list true false false false) (@list @t341 @t235 @t366 @t80))) % 11.71/11.93 ) % 11.71/11.93 % SZS output end Proof % 11.71/11.93 % cvc5 exiting %------------------------------------------------------------------------------