%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUN059+1 : TPTP v9.2.1. Bugfixed v7.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:42:51 AM UTC 2026 % Result : Theorem 218.87s 219.08s % Output : Proof 218.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUN059+1 : TPTP v9.2.1. Bugfixed v7.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n011.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 12:37:50 EDT 2026 % 0.19/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 218.87/219.08 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 218.87/219.08 --- Run --no-e-matching --full-saturate-quant at 6... % 218.87/219.08 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 218.87/219.08 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 218.87/219.08 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 218.87/219.08 --- Run --trigger-sel=max --full-saturate-quant at 15... % 218.87/219.08 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 218.87/219.08 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 218.87/219.08 --- Run --prenex-quant=none --full-saturate-quant at 30... % 218.87/219.08 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 218.87/219.08 --- Run --relevant-triggers --full-saturate-quant at 30... % 218.87/219.08 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15... % 218.87/219.08 --- Run --pre-skolem-quant=on --full-saturate-quant at 15... % 218.87/219.08 % SZS status Theorem % 218.87/219.08 % SZS output start Proof % 218.87/219.08 ( % 218.87/219.08 (declare-sort $$unsorted 0) % 218.87/219.08 (declare-const tptp.r4 (-> $$unsorted $$unsorted $$unsorted Bool)) % 218.87/219.08 (declare-const tptp.r3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 218.87/219.08 (declare-const tptp.r2 (-> $$unsorted $$unsorted Bool)) % 218.87/219.08 (declare-const tptp.r1 (-> $$unsorted Bool)) % 218.87/219.08 (declare-const tptp.id (-> $$unsorted $$unsorted Bool)) % 218.87/219.08 (define @t1 () (@var "Y24" $$unsorted)) % 218.87/219.08 (define @t2 () (@var "X19" $$unsorted)) % 218.87/219.08 (define @t3 () (tptp.id @t2 @t1)) % 218.87/219.08 (define @t4 () (tptp.r1 @t2)) % 218.87/219.08 (define @t5 () (not @t4)) % 218.87/219.08 (define @t6 () (@list @t2)) % 218.87/219.08 (define @t7 () (forall @t6 (or (and @t3 @t4) (and @t5 (not @t3))))) % 218.87/219.08 (define @t8 () (@list @t1)) % 218.87/219.08 (define @t9 () (exists @t8 @t7)) % 218.87/219.08 (define @t10 () (@var "Y21" $$unsorted)) % 218.87/219.08 (define @t11 () (@var "X12" $$unsorted)) % 218.87/219.08 (define @t12 () (tptp.id @t11 @t10)) % 218.87/219.08 (define @t13 () (@var "X11" $$unsorted)) % 218.87/219.08 (define @t14 () (tptp.r2 @t13 @t11)) % 218.87/219.08 (define @t15 () (@var "Y22" $$unsorted)) % 218.87/219.08 (define @t16 () (@var "X15" $$unsorted)) % 218.87/219.08 (define @t17 () (tptp.id @t16 @t15)) % 218.87/219.08 (define @t18 () (@var "X14" $$unsorted)) % 218.87/219.08 (define @t19 () (@var "X13" $$unsorted)) % 218.87/219.08 (define @t20 () (tptp.r3 @t19 @t18 @t16)) % 218.87/219.08 (define @t21 () (@var "Y23" $$unsorted)) % 218.87/219.08 (define @t22 () (@var "X18" $$unsorted)) % 218.87/219.08 (define @t23 () (tptp.id @t22 @t21)) % 218.87/219.08 (define @t24 () (@var "X17" $$unsorted)) % 218.87/219.08 (define @t25 () (@var "X16" $$unsorted)) % 218.87/219.08 (define @t26 () (tptp.r4 @t25 @t24 @t22)) % 218.87/219.08 (define @t27 () (@var "X20" $$unsorted)) % 218.87/219.08 (define @t28 () (@var "X21" $$unsorted)) % 218.87/219.08 (define @t29 () (@var "X22" $$unsorted)) % 218.87/219.08 (define @t30 () (@var "X25" $$unsorted)) % 218.87/219.08 (define @t31 () (@var "X24" $$unsorted)) % 218.87/219.08 (define @t32 () (@var "X23" $$unsorted)) % 218.87/219.08 (define @t33 () (@var "X27" $$unsorted)) % 218.87/219.08 (define @t34 () (tptp.r1 @t33)) % 218.87/219.08 (define @t35 () (@var "X26" $$unsorted)) % 218.87/219.08 (define @t36 () (tptp.r1 @t35)) % 218.87/219.08 (define @t37 () (@var "X31" $$unsorted)) % 218.87/219.08 (define @t38 () (@var "X30" $$unsorted)) % 218.87/219.08 (define @t39 () (tptp.r2 @t38 @t37)) % 218.87/219.08 (define @t40 () (@var "X29" $$unsorted)) % 218.87/219.08 (define @t41 () (@var "X28" $$unsorted)) % 218.87/219.08 (define @t42 () (tptp.r2 @t41 @t40)) % 218.87/219.08 (define @t43 () (@var "X37" $$unsorted)) % 218.87/219.08 (define @t44 () (@var "X36" $$unsorted)) % 218.87/219.08 (define @t45 () (@var "X35" $$unsorted)) % 218.87/219.08 (define @t46 () (tptp.r3 @t45 @t44 @t43)) % 218.87/219.08 (define @t47 () (@var "X34" $$unsorted)) % 218.87/219.08 (define @t48 () (@var "X33" $$unsorted)) % 218.87/219.08 (define @t49 () (@var "X32" $$unsorted)) % 218.87/219.08 (define @t50 () (tptp.r3 @t49 @t48 @t47)) % 218.87/219.08 (define @t51 () (@var "X43" $$unsorted)) % 218.87/219.08 (define @t52 () (@var "X42" $$unsorted)) % 218.87/219.08 (define @t53 () (@var "X41" $$unsorted)) % 218.87/219.08 (define @t54 () (tptp.r4 @t53 @t52 @t51)) % 218.87/219.08 (define @t55 () (@var "X40" $$unsorted)) % 218.87/219.08 (define @t56 () (@var "X39" $$unsorted)) % 218.87/219.08 (define @t57 () (@var "X38" $$unsorted)) % 218.87/219.08 (define @t58 () (tptp.r4 @t57 @t56 @t55)) % 218.87/219.08 (define @t59 () (@var "Y7" $$unsorted)) % 218.87/219.08 (define @t60 () (@var "X8" $$unsorted)) % 218.87/219.08 (define @t61 () (@var "X1" $$unsorted)) % 218.87/219.08 (define @t62 () (@var "Y4" $$unsorted)) % 218.87/219.08 (define @t63 () (@list @t59)) % 218.87/219.08 (define @t64 () (@var "Y5" $$unsorted)) % 218.87/219.08 (define @t65 () (@var "Y15" $$unsorted)) % 218.87/219.08 (define @t66 () (@list @t64)) % 218.87/219.08 (define @t67 () (@var "Y6" $$unsorted)) % 218.87/219.08 (define @t68 () (@var "X9" $$unsorted)) % 218.87/219.08 (define @t69 () (@var "X2" $$unsorted)) % 218.87/219.08 (define @t70 () (@var "Y2" $$unsorted)) % 218.87/219.08 (define @t71 () (@list @t67)) % 218.87/219.08 (define @t72 () (@var "Y3" $$unsorted)) % 218.87/219.08 (define @t73 () (@var "Y14" $$unsorted)) % 218.87/219.08 (define @t74 () (@var "X10" $$unsorted)) % 218.87/219.08 (define @t75 () (@var "X3" $$unsorted)) % 218.87/219.08 (define @t76 () (@var "Y12" $$unsorted)) % 218.87/219.08 (define @t77 () (@var "Y13" $$unsorted)) % 218.87/219.08 (define @t78 () (@var "Y9" $$unsorted)) % 218.87/219.08 (define @t79 () (@var "Y16" $$unsorted)) % 218.87/219.08 (define @t80 () (@var "X4" $$unsorted)) % 218.87/219.08 (define @t81 () (tptp.r3 @t80 @t79 @t78)) % 218.87/219.08 (define @t82 () (tptp.r1 @t79)) % 218.87/219.08 (define @t83 () (and @t82 @t81)) % 218.87/219.08 (define @t84 () (@list @t79)) % 218.87/219.08 (define @t85 () (exists @t84 @t83)) % 218.87/219.08 (define @t86 () (tptp.id @t78 @t80)) % 218.87/219.08 (define @t87 () (and @t86 @t85)) % 218.87/219.08 (define @t88 () (@list @t78)) % 218.87/219.08 (define @t89 () (exists @t88 @t87)) % 218.87/219.08 (define @t90 () (@list @t80)) % 218.87/219.08 (define @t91 () (forall @t90 @t89)) % 218.87/219.08 (define @t92 () (@var "Y18" $$unsorted)) % 218.87/219.08 (define @t93 () (tptp.r1 @t92)) % 218.87/219.08 (define @t94 () (@var "Y8" $$unsorted)) % 218.87/219.08 (define @t95 () (tptp.id @t94 @t92)) % 218.87/219.08 (define @t96 () (and @t95 @t93)) % 218.87/219.08 (define @t97 () (@list @t92)) % 218.87/219.08 (define @t98 () (exists @t97 @t96)) % 218.87/219.08 (define @t99 () (@var "Y17" $$unsorted)) % 218.87/219.08 (define @t100 () (@var "X5" $$unsorted)) % 218.87/219.08 (define @t101 () (tptp.r4 @t100 @t99 @t94)) % 218.87/219.08 (define @t102 () (tptp.r1 @t99)) % 218.87/219.08 (define @t103 () (and @t102 @t101)) % 218.87/219.08 (define @t104 () (@list @t99)) % 218.87/219.08 (define @t105 () (exists @t104 @t103)) % 218.87/219.08 (define @t106 () (and @t105 @t98)) % 218.87/219.08 (define @t107 () (@list @t94)) % 218.87/219.08 (define @t108 () (exists @t107 @t106)) % 218.87/219.08 (define @t109 () (@list @t100)) % 218.87/219.08 (define @t110 () (forall @t109 @t108)) % 218.87/219.08 (define @t111 () (@var "Y11" $$unsorted)) % 218.87/219.08 (define @t112 () (@var "Y1" $$unsorted)) % 218.87/219.08 (define @t113 () (@var "X6" $$unsorted)) % 218.87/219.08 (define @t114 () (@var "Y19" $$unsorted)) % 218.87/219.08 (define @t115 () (@var "Y10" $$unsorted)) % 218.87/219.08 (define @t116 () (@var "X7" $$unsorted)) % 218.87/219.08 (define @t117 () (@var "Y20" $$unsorted)) % 218.87/219.08 (define @t118 () (tptp.r3 @t59 @t67 @t62)) % 218.87/219.08 (define @t119 () (tptp.r4 @t112 @t112 @t59)) % 218.87/219.08 (define @t120 () (and @t119 @t118)) % 218.87/219.08 (define @t121 () (exists @t63 @t120)) % 218.87/219.08 (define @t122 () (tptp.r4 @t72 @t72 @t67)) % 218.87/219.08 (define @t123 () (and @t122 @t121)) % 218.87/219.08 (define @t124 () (exists @t71 @t123)) % 218.87/219.08 (define @t125 () (tptp.r4 @t70 @t70 @t64)) % 218.87/219.08 (define @t126 () (tptp.id @t62 @t64)) % 218.87/219.08 (define @t127 () (and @t126 @t125)) % 218.87/219.08 (define @t128 () (exists @t66 @t127)) % 218.87/219.08 (define @t129 () (and @t128 @t124)) % 218.87/219.08 (define @t130 () (@list @t112 @t72 @t70 @t62)) % 218.87/219.08 (define @t131 () (exists @t130 @t129)) % 218.87/219.08 (define @t132 () (not @t131)) % 218.87/219.08 (define @t133 () (forall @t8 (not @t7))) % 218.87/219.08 (define @t134 () (@quantifiers_skolemize @t133 0)) % 218.87/219.08 (define @t135 () (@list @t134)) % 218.87/219.08 (define @t136 () (@const 0 (-> $$unsorted $$unsorted))) % 218.87/219.08 (define @t137 () (_ @t136 @t134)) % 218.87/219.08 (define @t138 () (_ @t136 @t80)) % 218.87/219.08 (define @t139 () (@const 1 (-> $$unsorted $$unsorted))) % 218.87/219.08 (define @t140 () (_ @t139 @t80)) % 218.87/219.08 (define @t141 () (tptp.r3 @t80 @t140 @t138)) % 218.87/219.08 (define @t142 () (forall @t90 @t141)) % 218.87/219.08 (define @t143 () (@list @t80)) % 218.87/219.08 (define @t144 () (tptp.r1 @t140)) % 218.87/219.08 (define @t145 () (forall @t90 @t144)) % 218.87/219.08 (define @t146 () (tptp.id @t138 @t80)) % 218.87/219.08 (define @t147 () (forall @t90 @t146)) % 218.87/219.08 (define @t148 () (and @t147 @t145 @t142)) % 218.87/219.08 (define @t149 () (not @t141)) % 218.87/219.08 (define @t150 () (not @t149)) % 218.87/219.08 (define @t151 () (not @t144)) % 218.87/219.08 (define @t152 () (not @t151)) % 218.87/219.08 (define @t153 () (not @t146)) % 218.87/219.08 (define @t154 () (not @t153)) % 218.87/219.08 (define @t155 () (and @t154 @t152 @t150)) % 218.87/219.08 (define @t156 () (forall @t90 (not (or @t153 @t151 @t149)))) % 218.87/219.08 (define @t157 () (@var "BOUND_VARIABLE_7929" $$unsorted)) % 218.87/219.08 (define @t158 () (not (tptp.r3 @t80 @t157 @t78))) % 218.87/219.08 (define @t159 () (not (tptp.r1 @t157))) % 218.87/219.08 (define @t160 () (not @t86)) % 218.87/219.08 (define @t161 () (or @t160 @t159 @t158)) % 218.87/219.08 (define @t162 () (@list @t78 @t157)) % 218.87/219.08 (define @t163 () (or @t159 @t158)) % 218.87/219.08 (define @t164 () (or @t160 @t163)) % 218.87/219.08 (define @t165 () (forall @t162 @t164)) % 218.87/219.08 (define @t166 () (@list @t157)) % 218.87/219.08 (define @t167 () (forall @t166 @t164)) % 218.87/219.08 (define @t168 () (forall @t166 @t163)) % 218.87/219.08 (define @t169 () (or @t160 @t168)) % 218.87/219.08 (define @t170 () (forall @t84 (or (not @t82) (not @t81)))) % 218.87/219.08 (define @t171 () (not @t170)) % 218.87/219.08 (define @t172 () (and @t86 @t171)) % 218.87/219.08 (define @t173 () (forall @t88 (not @t172))) % 218.87/219.08 (define @t174 () (not @t173)) % 218.87/219.08 (define @t175 () (forall @t84 (not @t83))) % 218.87/219.08 (define @t176 () (not @t175)) % 218.87/219.08 (define @t177 () (tptp.id @t134 @t137)) % 218.87/219.08 (define @t178 () (tptp.id @t137 @t134)) % 218.87/219.08 (define @t179 () (not @t178)) % 218.87/219.08 (define @t180 () (or @t179 @t177)) % 218.87/219.08 (define @t181 () (@list false false)) % 218.87/219.08 (define @t182 () (_ @t139 @t134)) % 218.87/219.08 (define @t183 () (tptp.id @t2 @t134)) % 218.87/219.08 (define @t184 () (forall @t6 (or (and @t183 @t4) (and @t5 (not @t183))))) % 218.87/219.08 (define @t185 () (not @t133)) % 218.87/219.08 (define @t186 () (tptp.id @t182 @t134)) % 218.87/219.08 (define @t187 () (not @t186)) % 218.87/219.08 (define @t188 () (tptp.r1 @t182)) % 218.87/219.08 (define @t189 () (not @t188)) % 218.87/219.08 (define @t190 () (and @t189 @t187)) % 218.87/219.08 (define @t191 () (not @t190)) % 218.87/219.08 (define @t192 () (@list false)) % 218.87/219.08 (define @t193 () (and @t186 @t188)) % 218.87/219.08 (define @t194 () (or @t193 @t190)) % 218.87/219.08 (define @t195 () (@list true false)) % 218.87/219.08 (define @t196 () (tptp.id @t134 @t182)) % 218.87/219.08 (define @t197 () (or @t187 @t196)) % 218.87/219.08 (define @t198 () (tptp.r3 @t134 @t182 @t137)) % 218.87/219.08 (define @t199 () (not @t198)) % 218.87/219.08 (define @t200 () (tptp.r3 @t134 @t134 @t134)) % 218.87/219.08 (define @t201 () (not @t200)) % 218.87/219.08 (define @t202 () (and @t201 @t199)) % 218.87/219.08 (define @t203 () (not @t202)) % 218.87/219.08 (define @t204 () (@var "BOUND_VARIABLE_8072" $$unsorted)) % 218.87/219.08 (define @t205 () (@var "BOUND_VARIABLE_8074" $$unsorted)) % 218.87/219.08 (define @t206 () (not (tptp.r3 @t205 @t204 @t62))) % 218.87/219.08 (define @t207 () (not (tptp.r4 @t112 @t112 @t205))) % 218.87/219.08 (define @t208 () (not (tptp.r4 @t72 @t72 @t204))) % 218.87/219.08 (define @t209 () (@var "BOUND_VARIABLE_8065" $$unsorted)) % 218.87/219.08 (define @t210 () (not (tptp.r4 @t70 @t70 @t209))) % 218.87/219.08 (define @t211 () (not (tptp.id @t62 @t209))) % 218.87/219.08 (define @t212 () (or @t211 @t210 @t208 @t207 @t206)) % 218.87/219.08 (define @t213 () (@list @t112 @t72 @t70 @t62 @t209 @t204 @t205)) % 218.87/219.08 (define @t214 () (or @t208 @t207 @t206)) % 218.87/219.08 (define @t215 () (or @t211 @t210)) % 218.87/219.08 (define @t216 () (or @t215 @t214)) % 218.87/219.08 (define @t217 () (forall @t213 @t216)) % 218.87/219.08 (define @t218 () (forall (@list @t209 @t204 @t205) @t216)) % 218.87/219.08 (define @t219 () (forall (@list @t204 @t205) @t214)) % 218.87/219.08 (define @t220 () (@var "BOUND_VARIABLE_8045" $$unsorted)) % 218.87/219.08 (define @t221 () (forall (@list @t209) @t215)) % 218.87/219.08 (define @t222 () (or @t221 @t219)) % 218.87/219.08 (define @t223 () (not (tptp.r3 @t220 @t67 @t62))) % 218.87/219.08 (define @t224 () (not (tptp.r4 @t112 @t112 @t220))) % 218.87/219.08 (define @t225 () (not @t122)) % 218.87/219.08 (define @t226 () (or @t225 @t224 @t223)) % 218.87/219.08 (define @t227 () (@list @t67 @t220)) % 218.87/219.08 (define @t228 () (forall @t227 @t226)) % 218.87/219.08 (define @t229 () (forall @t66 (or (not @t126) (not @t125)))) % 218.87/219.08 (define @t230 () (not @t228)) % 218.87/219.08 (define @t231 () (not @t229)) % 218.87/219.08 (define @t232 () (and @t231 @t230)) % 218.87/219.08 (define @t233 () (forall @t130 (not @t232))) % 218.87/219.08 (define @t234 () (not @t233)) % 218.87/219.08 (define @t235 () (or @t224 @t223)) % 218.87/219.08 (define @t236 () (or @t225 @t235)) % 218.87/219.08 (define @t237 () (forall @t227 @t236)) % 218.87/219.08 (define @t238 () (@list @t220)) % 218.87/219.08 (define @t239 () (forall @t238 @t236)) % 218.87/219.08 (define @t240 () (forall @t238 @t235)) % 218.87/219.08 (define @t241 () (or @t225 @t240)) % 218.87/219.08 (define @t242 () (forall @t63 (or (not @t119) (not @t118)))) % 218.87/219.08 (define @t243 () (not @t242)) % 218.87/219.08 (define @t244 () (and @t122 @t243)) % 218.87/219.08 (define @t245 () (forall @t71 (not @t244))) % 218.87/219.08 (define @t246 () (not @t245)) % 218.87/219.08 (define @t247 () (forall @t63 (not @t120))) % 218.87/219.08 (define @t248 () (not @t247)) % 218.87/219.08 (define @t249 () (forall @t66 (not @t127))) % 218.87/219.08 (define @t250 () (not @t249)) % 218.87/219.08 (define @t251 () (@const 2 (-> $$unsorted $$unsorted))) % 218.87/219.08 (define @t252 () (_ @t251 @t134)) % 218.87/219.08 (define @t253 () (@const 3 (-> $$unsorted $$unsorted))) % 218.87/219.08 (define @t254 () (_ @t253 @t134)) % 218.87/219.08 (define @t255 () (@const 4 (-> $$unsorted $$unsorted))) % 218.87/219.08 (define @t256 () (_ @t255 @t134)) % 218.87/219.08 (define @t257 () (_ @t251 @t100)) % 218.87/219.08 (define @t258 () (tptp.r1 @t257)) % 218.87/219.08 (define @t259 () (forall @t109 @t258)) % 218.87/219.08 (define @t260 () (@list @t100)) % 218.87/219.08 (define @t261 () (_ @t253 @t100)) % 218.87/219.08 (define @t262 () (tptp.id @t261 @t257)) % 218.87/219.08 (define @t263 () (forall @t109 @t262)) % 218.87/219.08 (define @t264 () (_ @t255 @t100)) % 218.87/219.08 (define @t265 () (tptp.r4 @t100 @t264 @t261)) % 218.87/219.08 (define @t266 () (forall @t109 @t265)) % 218.87/219.08 (define @t267 () (tptp.r1 @t264)) % 218.87/219.08 (define @t268 () (forall @t109 @t267)) % 218.87/219.08 (define @t269 () (and @t268 @t266 @t263 @t259)) % 218.87/219.08 (define @t270 () (not @t258)) % 218.87/219.08 (define @t271 () (not @t270)) % 218.87/219.08 (define @t272 () (not @t262)) % 218.87/219.08 (define @t273 () (not @t272)) % 218.87/219.08 (define @t274 () (not @t265)) % 218.87/219.08 (define @t275 () (not @t274)) % 218.87/219.08 (define @t276 () (not @t267)) % 218.87/219.08 (define @t277 () (not @t276)) % 218.87/219.08 (define @t278 () (and @t277 @t275 @t273 @t271)) % 218.87/219.08 (define @t279 () (forall @t109 (not (or @t276 @t274 @t272 @t270)))) % 218.87/219.08 (define @t280 () (@var "BOUND_VARIABLE_7974" $$unsorted)) % 218.87/219.08 (define @t281 () (not (tptp.r1 @t280))) % 218.87/219.08 (define @t282 () (not (tptp.id @t94 @t280))) % 218.87/219.08 (define @t283 () (@var "BOUND_VARIABLE_7967" $$unsorted)) % 218.87/219.08 (define @t284 () (not (tptp.r4 @t100 @t283 @t94))) % 218.87/219.08 (define @t285 () (not (tptp.r1 @t283))) % 218.87/219.08 (define @t286 () (or @t285 @t284 @t282 @t281)) % 218.87/219.08 (define @t287 () (@list @t94 @t283 @t280)) % 218.87/219.08 (define @t288 () (or @t282 @t281)) % 218.87/219.08 (define @t289 () (or @t285 @t284)) % 218.87/219.08 (define @t290 () (or @t289 @t288)) % 218.87/219.08 (define @t291 () (forall @t287 @t290)) % 218.87/219.08 (define @t292 () (forall (@list @t283 @t280) @t290)) % 218.87/219.08 (define @t293 () (forall (@list @t280) @t288)) % 218.87/219.08 (define @t294 () (forall (@list @t283) @t289)) % 218.87/219.08 (define @t295 () (or @t294 @t293)) % 218.87/219.08 (define @t296 () (forall @t97 (or (not @t95) (not @t93)))) % 218.87/219.08 (define @t297 () (forall @t104 (or (not @t102) (not @t101)))) % 218.87/219.08 (define @t298 () (not @t296)) % 218.87/219.08 (define @t299 () (not @t297)) % 218.87/219.08 (define @t300 () (and @t299 @t298)) % 218.87/219.08 (define @t301 () (forall @t107 (not @t300))) % 218.87/219.08 (define @t302 () (not @t301)) % 218.87/219.08 (define @t303 () (forall @t97 (not @t96))) % 218.87/219.08 (define @t304 () (not @t303)) % 218.87/219.08 (define @t305 () (forall @t104 (not @t103))) % 218.87/219.08 (define @t306 () (not @t305)) % 218.87/219.08 (define @t307 () (tptp.r4 @t134 @t256 @t254)) % 218.87/219.08 (define @t308 () (not @t307)) % 218.87/219.08 (define @t309 () (tptp.r4 @t134 @t134 @t252)) % 218.87/219.08 (define @t310 () (not @t309)) % 218.87/219.08 (define @t311 () (and @t310 @t308)) % 218.87/219.08 (define @t312 () (not @t311)) % 218.87/219.08 (define @t313 () (tptp.id @t256 @t134)) % 218.87/219.08 (define @t314 () (not @t313)) % 218.87/219.08 (define @t315 () (tptp.r1 @t256)) % 218.87/219.08 (define @t316 () (not @t315)) % 218.87/219.08 (define @t317 () (and @t316 @t314)) % 218.87/219.08 (define @t318 () (not @t317)) % 218.87/219.08 (define @t319 () (and @t313 @t315)) % 218.87/219.08 (define @t320 () (or @t319 @t317)) % 218.87/219.08 (define @t321 () (tptp.id @t134 @t256)) % 218.87/219.08 (define @t322 () (or @t314 @t321)) % 218.87/219.08 (define @t323 () (tptp.id @t252 @t254)) % 218.87/219.08 (define @t324 () (tptp.id @t254 @t252)) % 218.87/219.08 (define @t325 () (not @t324)) % 218.87/219.08 (define @t326 () (or @t325 @t323)) % 218.87/219.08 (define @t327 () (and @t309 @t307)) % 218.87/219.08 (define @t328 () (not @t323)) % 218.87/219.08 (define @t329 () (not @t321)) % 218.87/219.08 (define @t330 () (tptp.id @t134 @t134)) % 218.87/219.08 (define @t331 () (not @t330)) % 218.87/219.08 (define @t332 () (or @t331 @t329 @t328 @t311 @t327)) % 218.87/219.08 (define @t333 () (tptp.r4 @t134 @t134 @t134)) % 218.87/219.08 (define @t334 () (not @t333)) % 218.87/219.08 (define @t335 () (and @t334 @t310)) % 218.87/219.08 (define @t336 () (not @t335)) % 218.87/219.08 (define @t337 () (tptp.id @t252 @t134)) % 218.87/219.08 (define @t338 () (not @t337)) % 218.87/219.08 (define @t339 () (tptp.r1 @t252)) % 218.87/219.08 (define @t340 () (not @t339)) % 218.87/219.08 (define @t341 () (and @t340 @t338)) % 218.87/219.08 (define @t342 () (not @t341)) % 218.87/219.08 (define @t343 () (and @t337 @t339)) % 218.87/219.08 (define @t344 () (or @t343 @t341)) % 218.87/219.08 (define @t345 () (tptp.id @t134 @t252)) % 218.87/219.08 (define @t346 () (or @t338 @t345)) % 218.87/219.08 (define @t347 () (and @t333 @t309)) % 218.87/219.08 (define @t348 () (not @t345)) % 218.87/219.08 (define @t349 () (or @t331 @t331 @t348 @t335 @t347)) % 218.87/219.08 (define @t350 () (or @t331 @t334 @t334 @t334 @t201)) % 218.87/219.08 (define @t351 () (and @t200 @t198)) % 218.87/219.08 (define @t352 () (not @t351)) % 218.87/219.08 (define @t353 () (not @t177)) % 218.87/219.08 (define @t354 () (not @t196)) % 218.87/219.08 (define @t355 () (or @t331 @t354 @t353 @t202 @t351)) % 218.87/219.08 (assume @p1 @t9) % 218.87/219.08 (assume @p2 (forall (@list @t13) (exists (@list @t10) (forall (@list @t11) (or (and @t12 @t14) (and (not @t14) (not @t12))))))) % 218.87/219.08 (assume @p3 (forall (@list @t19 @t18) (exists (@list @t15) (forall (@list @t16) (or (and @t17 @t20) (and (not @t20) (not @t17))))))) % 218.87/219.08 (assume @p4 (forall (@list @t25 @t24) (exists (@list @t21) (forall (@list @t22) (or (and @t23 @t26) (and (not @t26) (not @t23))))))) % 218.87/219.08 (assume @p5 (forall (@list @t27) (tptp.id @t27 @t27))) % 218.87/219.08 (assume @p6 (forall (@list @t28 @t29) (or (not (tptp.id @t28 @t29)) (tptp.id @t29 @t28)))) % 218.87/219.08 (assume @p7 (forall (@list @t32 @t31 @t30) (or (not (tptp.id @t32 @t31)) (tptp.id @t32 @t30) (not (tptp.id @t31 @t30))))) % 218.87/219.08 (assume @p8 (forall (@list @t35 @t33) (or (not (tptp.id @t35 @t33)) (and (not @t36) (not @t34)) (and @t36 @t34)))) % 218.87/219.08 (assume @p9 (forall (@list @t41 @t40 @t38 @t37) (or (not (tptp.id @t41 @t38)) (not (tptp.id @t40 @t37)) (and (not @t42) (not @t39)) (and @t42 @t39)))) % 218.87/219.08 (assume @p10 (forall (@list @t49 @t48 @t47 @t45 @t44 @t43) (or (not (tptp.id @t49 @t45)) (not (tptp.id @t48 @t44)) (not (tptp.id @t47 @t43)) (and (not @t50) (not @t46)) (and @t50 @t46)))) % 218.87/219.08 (assume @p11 (forall (@list @t57 @t56 @t55 @t53 @t52 @t51) (or (not (tptp.id @t57 @t53)) (not (tptp.id @t56 @t52)) (not (tptp.id @t55 @t51)) (and (not @t58) (not @t54)) (and @t58 @t54)))) % 218.87/219.08 (assume @p12 (forall (@list @t61 @t60) (exists (@list @t62) (and (exists @t66 (and (tptp.id @t64 @t62) (exists (@list @t65) (and (tptp.r2 @t60 @t65) (tptp.r3 @t61 @t65 @t64))))) (exists @t63 (and (tptp.r2 @t59 @t62) (tptp.r3 @t61 @t60 @t59))))))) % 218.87/219.08 (assume @p13 (forall (@list @t69 @t68) (exists (@list @t70) (and (exists (@list @t72) (and (tptp.id @t72 @t70) (exists (@list @t73) (and (tptp.r2 @t68 @t73) (tptp.r4 @t69 @t73 @t72))))) (exists @t71 (and (tptp.r3 @t67 @t69 @t70) (tptp.r4 @t69 @t68 @t67))))))) % 218.87/219.08 (assume @p14 (forall (@list @t75 @t74) (or (forall (@list @t76) (or (forall (@list @t77) (or (not (tptp.id @t77 @t76)) (not (tptp.r2 @t75 @t77)))) (not (tptp.r2 @t74 @t76)))) (tptp.id @t75 @t74)))) % 218.87/219.08 (assume @p15 @t91) % 218.87/219.08 (assume @p16 @t110) % 218.87/219.08 (assume @p17 (forall (@list @t113) (or (exists (@list @t114) (and (tptp.id @t113 @t114) (tptp.r1 @t114))) (exists (@list @t112 @t111) (and (tptp.id @t113 @t111) (tptp.r2 @t112 @t111)))))) % 218.87/219.08 (assume @p18 (forall (@list @t116 @t115) (or (forall (@list @t117) (or (not (tptp.id @t117 @t115)) (not (tptp.r1 @t117)))) (not (tptp.r2 @t116 @t115))))) % 218.87/219.08 (assume @p19 @t132) % 218.87/219.08 (assume @p20 true) % 218.87/219.08 (step @p21 :rule instantiate :premises (@p5) :args (@t135)) % 218.87/219.08 (step @p22 :rule instantiate :premises (@p6) :args ((@list @t137 @t134))) % 218.87/219.08 (step @p23 :rule alpha_equiv :args (@t142 @t143 (@list (@var "BOUND_VARIABLE_8355" $$unsorted)))) % 218.87/219.08 (step @p24 :rule alpha_equiv :args (@t145 @t143 (@list (@var "BOUND_VARIABLE_8349" $$unsorted)))) % 218.87/219.08 (step @p25 :rule alpha_equiv :args (@t147 @t143 (@list (@var "BOUND_VARIABLE_8343" $$unsorted)))) % 218.87/219.08 (step @p26 :rule nary_cong :premises (@p25 @p24 @p23) :args (@t148)) % 218.87/219.08 (step @p27 :rule quant-miniscope-and :args ((= (forall @t90 (and @t146 @t144 @t141)) @t148))) % 218.87/219.08 (step @p28 :rule trans :premises (@p27 @p26)) % 218.87/219.08 (step @p29 :rule bool-double-not-elim :args (@t141)) % 218.87/219.08 (step @p30 :rule bool-double-not-elim :args (@t144)) % 218.87/219.08 (step @p31 :rule bool-double-not-elim :args (@t146)) % 218.87/219.08 (step @p32 :rule nary_cong :premises (@p31 @p30 @p29) :args (@t155)) % 218.87/219.08 (step @p33 :rule aci_norm :args ((= (and @t154 (and @t152 @t150)) @t155))) % 218.87/219.08 (step @p34 :rule trans :premises (@p33 @p32)) % 218.87/219.08 (step @p35 :rule bool-or-de-morgan :args (@t151 @t149 false)) % 218.87/219.08 (step @p36 :rule refl :args (@t154)) % 218.87/219.08 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((and @t154 (not (or @t151 @t149))))) % 218.87/219.08 (step @p38 :rule bool-or-de-morgan :args (@t153 @t151 (or @t149))) % 218.87/219.08 (step @p39 :rule trans :premises (@p38 @p37)) % 218.87/219.08 (step @p40 :rule trans :premises (@p39 @p34)) % 218.87/219.08 (step @p41 :rule cong :premises (@p40) :args (@t156)) % 218.87/219.08 (step @p42 :rule trans :premises (@p41 @p28)) % 218.87/219.08 ; WARNING: add trust step for TRUST % 218.87/219.08 ; trust TRUST PREPROCESS_QUANTIFIERS_PP % 218.87/219.08 (step @p43 :rule trust :premises () :args ((= (forall @t90 (not (forall @t162 @t161))) @t156))) % 218.87/219.08 (step @p44 :rule aci_norm :args ((= @t164 @t161))) % 218.87/219.08 (step @p45 :rule cong :premises (@p44) :args (@t165)) % 218.87/219.08 (step @p46 :rule quant-merge-prenex :args ((= (forall @t88 @t167) @t165))) % 218.87/219.08 (step @p47 :rule alpha_equiv :args (@t168 (@list @t157) (@list @t79))) % 218.87/219.08 (step @p48 :rule refl :args (@t160)) % 218.87/219.08 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t169)) % 218.87/219.08 (step @p50 :rule quant-miniscope-or :args ((= @t167 @t169))) % 218.87/219.08 (step @p51 :rule trans :premises (@p50 @p49)) % 218.87/219.08 (step @p52 :rule symm :premises (@p51)) % 218.87/219.08 (step @p53 :rule cong :premises (@p52) :args ((forall @t88 (or @t160 @t170)))) % 218.87/219.08 (step @p54 :rule trans :premises (@p53 @p46)) % 218.87/219.08 (step @p55 :rule trans :premises (@p54 @p45)) % 218.87/219.08 (step @p56 :rule bool-double-not-elim :args (@t170)) % 218.87/219.08 (step @p57 :rule nary_cong :premises (@p48 @p56) :args ((or @t160 (not @t171)))) % 218.87/219.08 (step @p58 :rule bool-and-de-morgan :args (@t86 @t171 true)) % 218.87/219.08 (step @p59 :rule trans :premises (@p58 @p57)) % 218.87/219.08 (step @p60 :rule cong :premises (@p59) :args (@t173)) % 218.87/219.08 (step @p61 :rule trans :premises (@p60 @p55)) % 218.87/219.08 (step @p62 :rule cong :premises (@p61) :args (@t174)) % 218.87/219.08 (step @p63 :rule exists-elim :args ((= (exists @t88 @t172) @t174))) % 218.87/219.08 (step @p64 :rule trans :premises (@p63 @p62)) % 218.87/219.08 (step @p65 :rule bool-and-de-morgan :args (@t82 @t81 true)) % 218.87/219.08 (step @p66 :rule cong :premises (@p65) :args (@t175)) % 218.87/219.08 (step @p67 :rule cong :premises (@p66) :args (@t176)) % 218.87/219.08 (step @p68 :rule exists-elim :args ((= @t85 @t176))) % 218.87/219.08 (step @p69 :rule trans :premises (@p68 @p67)) % 218.87/219.08 (step @p70 :rule refl :args (@t86)) % 218.87/219.08 (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t87)) % 218.87/219.08 (step @p72 :rule cong :premises (@p71) :args (@t89)) % 218.87/219.08 (step @p73 :rule trans :premises (@p72 @p64)) % 218.87/219.08 (step @p74 :rule cong :premises (@p73) :args (@t91)) % 218.87/219.08 (step @p75 :rule trans :premises (@p74 @p43 @p42)) % 218.87/219.08 (step @p76 :rule eq_resolve :premises (@p15 @p75)) % 218.87/219.08 (step @p77 :rule and_elim :premises (@p76) :args (0)) % 218.87/219.08 (step @p78 :rule instantiate :premises (@p77) :args (@t135)) % 218.87/219.08 (step @p79 :rule cnf_or_pos :args (@t180)) % 218.87/219.08 (step @p80 :rule reordering :premises (@p79) :args ((or @t179 @t177 (not @t180)))) % 218.87/219.08 (step @p81 :rule chain_m_resolution :premises (@p80 @p78 @p22) :args (@t177 @t181 (@list @t178 @t180))) % 218.87/219.08 (step @p82 :rule instantiate :premises (@p6) :args ((@list @t182 @t134))) % 218.87/219.08 (step @p83 :rule bool-double-not-elim :args (@t184)) % 218.87/219.08 ; trust TRUST PREPROCESS_QUANTIFIERS_PP % 218.87/219.08 (step @p84 :rule trust :premises () :args ((= @t185 (not (not @t184))))) % 218.87/219.08 (step @p85 :rule exists-elim :args ((= @t9 @t185))) % 218.87/219.08 (step @p86 :rule trans :premises (@p85 @p84 @p83)) % 218.87/219.08 (step @p87 :rule eq_resolve :premises (@p1 @p86)) % 218.87/219.08 (step @p88 :rule instantiate :premises (@p87) :args ((@list @t182))) % 218.87/219.08 (step @p89 :rule and_elim :premises (@p76) :args (1)) % 218.87/219.08 (step @p90 :rule instantiate :premises (@p89) :args (@t135)) % 218.87/219.08 (step @p91 :rule cnf_and_pos :args (@t190 0)) % 218.87/219.08 (step @p92 :rule reordering :premises (@p91) :args ((or @t189 @t191))) % 218.87/219.08 (step @p93 :rule chain_m_resolution :premises (@p92 @p90) :args (@t191 @t192 (@list @t188))) % 218.87/219.08 (step @p94 :rule cnf_or_pos :args (@t194)) % 218.87/219.08 (step @p95 :rule reordering :premises (@p94) :args ((or @t193 @t190 (not @t194)))) % 218.87/219.08 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p88) :args (@t193 @t195 (@list @t190 @t194))) % 218.87/219.08 (step @p97 :rule cnf_and_pos :args (@t193 0)) % 218.87/219.08 (step @p98 :rule reordering :premises (@p97) :args ((or @t186 (not @t193)))) % 218.87/219.08 (step @p99 :rule chain_m_resolution :premises (@p98 @p96) :args (@t186 @t192 (@list @t193))) % 218.87/219.08 (step @p100 :rule cnf_or_pos :args (@t197)) % 218.87/219.08 (step @p101 :rule reordering :premises (@p100) :args ((or @t187 @t196 (not @t197)))) % 218.87/219.08 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p82) :args (@t196 @t181 (@list @t186 @t197))) % 218.87/219.08 (step @p103 :rule instantiate :premises (@p10) :args ((@list @t134 @t134 @t134 @t134 @t182 @t137))) % 218.87/219.08 (step @p104 :rule and_elim :premises (@p76) :args (2)) % 218.87/219.08 (step @p105 :rule instantiate :premises (@p104) :args (@t135)) % 218.87/219.08 (step @p106 :rule cnf_and_pos :args (@t202 1)) % 218.87/219.08 (step @p107 :rule reordering :premises (@p106) :args ((or @t199 @t203))) % 218.87/219.08 (step @p108 :rule chain_m_resolution :premises (@p107 @p105) :args (@t203 @t192 (@list @t198))) % 218.87/219.08 (step @p109 :rule bool-double-not-elim :args ((forall @t213 @t212))) % 218.87/219.08 (step @p110 :rule aci_norm :args ((= @t216 @t212))) % 218.87/219.08 (step @p111 :rule cong :premises (@p110) :args (@t217)) % 218.87/219.08 (step @p112 :rule quant-merge-prenex :args ((= (forall @t130 @t218) @t217))) % 218.87/219.08 (step @p113 :rule alpha_equiv :args (@t219 (@list @t204 @t205) (@list @t67 @t220))) % 218.87/219.08 (step @p114 :rule alpha_equiv :args (@t221 (@list @t209) (@list @t64))) % 218.87/219.08 (step @p115 :rule nary_cong :premises (@p114 @p113) :args (@t222)) % 218.87/219.08 (step @p116 :rule quant-miniscope-or :args ((= @t218 @t222))) % 218.87/219.08 (step @p117 :rule trans :premises (@p116 @p115)) % 218.87/219.08 (step @p118 :rule symm :premises (@p117)) % 218.87/219.08 (step @p119 :rule cong :premises (@p118) :args ((forall @t130 (or @t229 @t228)))) % 218.87/219.08 (step @p120 :rule trans :premises (@p119 @p112)) % 218.87/219.08 (step @p121 :rule trans :premises (@p120 @p111)) % 218.87/219.08 (step @p122 :rule bool-double-not-elim :args (@t228)) % 218.87/219.08 (step @p123 :rule bool-double-not-elim :args (@t229)) % 218.87/219.08 (step @p124 :rule nary_cong :premises (@p123 @p122) :args ((or (not @t231) (not @t230)))) % 218.87/219.08 (step @p125 :rule bool-and-de-morgan :args (@t231 @t230 true)) % 218.87/219.08 (step @p126 :rule trans :premises (@p125 @p124)) % 218.87/219.08 (step @p127 :rule cong :premises (@p126) :args (@t233)) % 218.87/219.08 (step @p128 :rule trans :premises (@p127 @p121)) % 218.87/219.08 (step @p129 :rule cong :premises (@p128) :args (@t234)) % 218.87/219.08 (step @p130 :rule exists-elim :args ((= (exists @t130 @t232) @t234))) % 218.87/219.08 (step @p131 :rule trans :premises (@p130 @p129)) % 218.87/219.08 (step @p132 :rule aci_norm :args ((= @t236 @t226))) % 218.87/219.08 (step @p133 :rule cong :premises (@p132) :args (@t237)) % 218.87/219.08 (step @p134 :rule quant-merge-prenex :args ((= (forall @t71 @t239) @t237))) % 218.87/219.08 (step @p135 :rule alpha_equiv :args (@t240 (@list @t220) (@list @t59))) % 218.87/219.08 (step @p136 :rule refl :args (@t225)) % 218.87/219.08 (step @p137 :rule nary_cong :premises (@p136 @p135) :args (@t241)) % 218.87/219.08 (step @p138 :rule quant-miniscope-or :args ((= @t239 @t241))) % 218.87/219.08 (step @p139 :rule trans :premises (@p138 @p137)) % 218.87/219.08 (step @p140 :rule symm :premises (@p139)) % 218.87/219.08 (step @p141 :rule cong :premises (@p140) :args ((forall @t71 (or @t225 @t242)))) % 218.87/219.08 (step @p142 :rule trans :premises (@p141 @p134)) % 218.87/219.08 (step @p143 :rule trans :premises (@p142 @p133)) % 218.87/219.08 (step @p144 :rule bool-double-not-elim :args (@t242)) % 218.87/219.08 (step @p145 :rule nary_cong :premises (@p136 @p144) :args ((or @t225 (not @t243)))) % 218.87/219.08 (step @p146 :rule bool-and-de-morgan :args (@t122 @t243 true)) % 218.87/219.08 (step @p147 :rule trans :premises (@p146 @p145)) % 218.87/219.08 (step @p148 :rule cong :premises (@p147) :args (@t245)) % 218.87/219.08 (step @p149 :rule trans :premises (@p148 @p143)) % 218.87/219.08 (step @p150 :rule cong :premises (@p149) :args (@t246)) % 218.87/219.08 (step @p151 :rule exists-elim :args ((= (exists @t71 @t244) @t246))) % 218.87/219.08 (step @p152 :rule trans :premises (@p151 @p150)) % 218.87/219.08 (step @p153 :rule bool-and-de-morgan :args (@t119 @t118 true)) % 218.87/219.08 (step @p154 :rule cong :premises (@p153) :args (@t247)) % 218.87/219.08 (step @p155 :rule cong :premises (@p154) :args (@t248)) % 218.87/219.08 (step @p156 :rule exists-elim :args ((= @t121 @t248))) % 218.87/219.08 (step @p157 :rule trans :premises (@p156 @p155)) % 218.87/219.08 (step @p158 :rule refl :args (@t122)) % 218.87/219.08 (step @p159 :rule nary_cong :premises (@p158 @p157) :args (@t123)) % 218.87/219.08 (step @p160 :rule cong :premises (@p159) :args (@t124)) % 218.87/219.08 (step @p161 :rule trans :premises (@p160 @p152)) % 218.87/219.08 (step @p162 :rule bool-and-de-morgan :args (@t126 @t125 true)) % 218.87/219.08 (step @p163 :rule cong :premises (@p162) :args (@t249)) % 218.87/219.08 (step @p164 :rule cong :premises (@p163) :args (@t250)) % 218.87/219.08 (step @p165 :rule exists-elim :args ((= @t128 @t250))) % 218.87/219.08 (step @p166 :rule trans :premises (@p165 @p164)) % 218.87/219.08 (step @p167 :rule nary_cong :premises (@p166 @p161) :args (@t129)) % 218.87/219.08 (step @p168 :rule cong :premises (@p167) :args (@t131)) % 218.87/219.08 (step @p169 :rule trans :premises (@p168 @p131)) % 218.87/219.08 (step @p170 :rule cong :premises (@p169) :args (@t132)) % 218.87/219.08 (step @p171 :rule trans :premises (@p170 @p109)) % 218.87/219.08 (step @p172 :rule eq_resolve :premises (@p19 @p171)) % 218.87/219.08 (step @p173 :rule instantiate :premises (@p172) :args ((@list @t134 @t134 @t134 @t134 @t134 @t134 @t134))) % 218.87/219.08 (step @p174 :rule instantiate :premises (@p11) :args ((@list @t134 @t134 @t134 @t134 @t134 @t252))) % 218.87/219.08 (step @p175 :rule instantiate :premises (@p11) :args ((@list @t134 @t134 @t252 @t134 @t256 @t254))) % 218.87/219.08 (step @p176 :rule alpha_equiv :args (@t259 @t260 (@list (@var "BOUND_VARIABLE_8411" $$unsorted)))) % 218.87/219.08 (step @p177 :rule alpha_equiv :args (@t263 @t260 (@list (@var "BOUND_VARIABLE_8404" $$unsorted)))) % 218.87/219.08 (step @p178 :rule alpha_equiv :args (@t266 @t260 (@list (@var "BOUND_VARIABLE_8397" $$unsorted)))) % 218.87/219.08 (step @p179 :rule alpha_equiv :args (@t268 @t260 (@list (@var "BOUND_VARIABLE_8391" $$unsorted)))) % 218.87/219.08 (step @p180 :rule nary_cong :premises (@p179 @p178 @p177 @p176) :args (@t269)) % 218.87/219.08 (step @p181 :rule quant-miniscope-and :args ((= (forall @t109 (and @t267 @t265 @t262 @t258)) @t269))) % 218.87/219.08 (step @p182 :rule trans :premises (@p181 @p180)) % 218.87/219.08 (step @p183 :rule bool-double-not-elim :args (@t258)) % 218.87/219.08 (step @p184 :rule bool-double-not-elim :args (@t262)) % 218.87/219.08 (step @p185 :rule bool-double-not-elim :args (@t265)) % 218.87/219.08 (step @p186 :rule bool-double-not-elim :args (@t267)) % 218.87/219.08 (step @p187 :rule nary_cong :premises (@p186 @p185 @p184 @p183) :args (@t278)) % 218.87/219.08 (step @p188 :rule aci_norm :args ((= (and @t277 (and @t275 (and @t273 @t271))) @t278))) % 218.87/219.08 (step @p189 :rule trans :premises (@p188 @p187)) % 218.87/219.08 (step @p190 :rule bool-or-de-morgan :args (@t272 @t270 false)) % 218.87/219.08 (step @p191 :rule refl :args (@t275)) % 218.87/219.08 (step @p192 :rule nary_cong :premises (@p191 @p190) :args ((and @t275 (not (or @t272 @t270))))) % 218.87/219.08 (step @p193 :rule bool-or-de-morgan :args (@t274 @t272 (or @t270))) % 218.87/219.08 (step @p194 :rule trans :premises (@p193 @p192)) % 218.87/219.08 (step @p195 :rule refl :args (@t277)) % 218.87/219.08 (step @p196 :rule nary_cong :premises (@p195 @p194) :args ((and @t277 (not (or @t274 @t272 @t270))))) % 218.87/219.08 (step @p197 :rule bool-or-de-morgan :args (@t276 @t274 (or @t272 @t270))) % 218.87/219.08 (step @p198 :rule trans :premises (@p197 @p196)) % 218.87/219.08 (step @p199 :rule trans :premises (@p198 @p189)) % 218.87/219.08 (step @p200 :rule cong :premises (@p199) :args (@t279)) % 218.87/219.08 (step @p201 :rule trans :premises (@p200 @p182)) % 218.87/219.08 ; trust TRUST PREPROCESS_QUANTIFIERS_PP % 218.87/219.08 (step @p202 :rule trust :premises () :args ((= (forall @t109 (not (forall @t287 @t286))) @t279))) % 218.87/219.08 (step @p203 :rule aci_norm :args ((= @t290 @t286))) % 218.87/219.08 (step @p204 :rule cong :premises (@p203) :args (@t291)) % 218.87/219.08 (step @p205 :rule quant-merge-prenex :args ((= (forall @t107 @t292) @t291))) % 218.87/219.08 (step @p206 :rule alpha_equiv :args (@t293 (@list @t280) (@list @t92))) % 218.87/219.08 (step @p207 :rule alpha_equiv :args (@t294 (@list @t283) (@list @t99))) % 218.87/219.08 (step @p208 :rule nary_cong :premises (@p207 @p206) :args (@t295)) % 218.87/219.08 (step @p209 :rule quant-miniscope-or :args ((= @t292 @t295))) % 218.87/219.08 (step @p210 :rule trans :premises (@p209 @p208)) % 218.87/219.08 (step @p211 :rule symm :premises (@p210)) % 218.87/219.08 (step @p212 :rule cong :premises (@p211) :args ((forall @t107 (or @t297 @t296)))) % 218.87/219.08 (step @p213 :rule trans :premises (@p212 @p205)) % 218.87/219.08 (step @p214 :rule trans :premises (@p213 @p204)) % 218.87/219.08 (step @p215 :rule bool-double-not-elim :args (@t296)) % 218.87/219.08 (step @p216 :rule bool-double-not-elim :args (@t297)) % 218.87/219.08 (step @p217 :rule nary_cong :premises (@p216 @p215) :args ((or (not @t299) (not @t298)))) % 218.87/219.08 (step @p218 :rule bool-and-de-morgan :args (@t299 @t298 true)) % 218.87/219.08 (step @p219 :rule trans :premises (@p218 @p217)) % 218.87/219.08 (step @p220 :rule cong :premises (@p219) :args (@t301)) % 218.87/219.08 (step @p221 :rule trans :premises (@p220 @p214)) % 218.87/219.08 (step @p222 :rule cong :premises (@p221) :args (@t302)) % 218.87/219.08 (step @p223 :rule exists-elim :args ((= (exists @t107 @t300) @t302))) % 218.87/219.08 (step @p224 :rule trans :premises (@p223 @p222)) % 218.87/219.08 (step @p225 :rule bool-and-de-morgan :args (@t95 @t93 true)) % 218.87/219.08 (step @p226 :rule cong :premises (@p225) :args (@t303)) % 218.87/219.08 (step @p227 :rule cong :premises (@p226) :args (@t304)) % 218.87/219.08 (step @p228 :rule exists-elim :args ((= @t98 @t304))) % 218.87/219.08 (step @p229 :rule trans :premises (@p228 @p227)) % 218.87/219.08 (step @p230 :rule bool-and-de-morgan :args (@t102 @t101 true)) % 218.87/219.08 (step @p231 :rule cong :premises (@p230) :args (@t305)) % 218.87/219.08 (step @p232 :rule cong :premises (@p231) :args (@t306)) % 218.87/219.08 (step @p233 :rule exists-elim :args ((= @t105 @t306))) % 218.87/219.08 (step @p234 :rule trans :premises (@p233 @p232)) % 218.87/219.08 (step @p235 :rule nary_cong :premises (@p234 @p229) :args (@t106)) % 218.87/219.08 (step @p236 :rule cong :premises (@p235) :args (@t108)) % 218.87/219.08 (step @p237 :rule trans :premises (@p236 @p224)) % 218.87/219.08 (step @p238 :rule cong :premises (@p237) :args (@t110)) % 218.87/219.08 (step @p239 :rule trans :premises (@p238 @p202 @p201)) % 218.87/219.08 (step @p240 :rule eq_resolve :premises (@p16 @p239)) % 218.87/219.08 (step @p241 :rule and_elim :premises (@p240) :args (1)) % 218.87/219.08 (step @p242 :rule instantiate :premises (@p241) :args (@t135)) % 218.87/219.08 (step @p243 :rule cnf_and_pos :args (@t311 1)) % 218.87/219.08 (step @p244 :rule reordering :premises (@p243) :args ((or @t308 @t312))) % 218.87/219.08 (step @p245 :rule chain_m_resolution :premises (@p244 @p242) :args (@t312 @t192 (@list @t307))) % 218.87/219.08 (step @p246 :rule instantiate :premises (@p6) :args ((@list @t256 @t134))) % 218.87/219.08 (step @p247 :rule instantiate :premises (@p87) :args ((@list @t256))) % 218.87/219.08 (step @p248 :rule and_elim :premises (@p240) :args (0)) % 218.87/219.08 (step @p249 :rule instantiate :premises (@p248) :args (@t135)) % 218.87/219.08 (step @p250 :rule cnf_and_pos :args (@t317 0)) % 218.87/219.08 (step @p251 :rule reordering :premises (@p250) :args ((or @t316 @t318))) % 218.87/219.08 (step @p252 :rule chain_m_resolution :premises (@p251 @p249) :args (@t318 @t192 (@list @t315))) % 218.87/219.08 (step @p253 :rule cnf_or_pos :args (@t320)) % 218.87/219.08 (step @p254 :rule reordering :premises (@p253) :args ((or @t319 @t317 (not @t320)))) % 218.87/219.08 (step @p255 :rule chain_m_resolution :premises (@p254 @p252 @p247) :args (@t319 @t195 (@list @t317 @t320))) % 218.87/219.08 (step @p256 :rule cnf_and_pos :args (@t319 0)) % 218.87/219.08 (step @p257 :rule reordering :premises (@p256) :args ((or @t313 (not @t319)))) % 218.87/219.08 (step @p258 :rule chain_m_resolution :premises (@p257 @p255) :args (@t313 @t192 (@list @t319))) % 218.87/219.08 (step @p259 :rule cnf_or_pos :args (@t322)) % 218.87/219.08 (step @p260 :rule reordering :premises (@p259) :args ((or @t314 @t321 (not @t322)))) % 218.87/219.08 (step @p261 :rule chain_m_resolution :premises (@p260 @p258 @p246) :args (@t321 @t181 (@list @t313 @t322))) % 218.87/219.08 (step @p262 :rule instantiate :premises (@p6) :args ((@list @t254 @t252))) % 218.87/219.08 (step @p263 :rule and_elim :premises (@p240) :args (2)) % 218.87/219.08 (step @p264 :rule instantiate :premises (@p263) :args (@t135)) % 218.87/219.08 (step @p265 :rule cnf_or_pos :args (@t326)) % 218.87/219.08 (step @p266 :rule reordering :premises (@p265) :args ((or @t325 @t323 (not @t326)))) % 218.87/219.08 (step @p267 :rule chain_m_resolution :premises (@p266 @p264 @p262) :args (@t323 @t181 (@list @t324 @t326))) % 218.87/219.08 (step @p268 :rule cnf_or_pos :args (@t332)) % 218.87/219.08 (step @p269 :rule reordering :premises (@p268) :args ((or @t331 @t328 @t329 @t311 @t327 (not @t332)))) % 218.87/219.08 (step @p270 :rule chain_m_resolution :premises (@p269 @p21 @p267 @p261 @p245 @p175) :args (@t327 (@list false false false true false) (@list @t330 @t323 @t321 @t311 @t332))) % 218.87/219.08 (step @p271 :rule cnf_and_pos :args (@t327 0)) % 218.87/219.08 (step @p272 :rule reordering :premises (@p271) :args ((or @t309 (not @t327)))) % 218.87/219.08 (step @p273 :rule chain_m_resolution :premises (@p272 @p270) :args (@t309 @t192 (@list @t327))) % 218.87/219.08 (step @p274 :rule cnf_and_pos :args (@t335 1)) % 218.87/219.08 (step @p275 :rule reordering :premises (@p274) :args ((or @t310 @t336))) % 218.87/219.08 (step @p276 :rule chain_m_resolution :premises (@p275 @p273) :args (@t336 @t192 (@list @t309))) % 218.87/219.08 (step @p277 :rule instantiate :premises (@p6) :args ((@list @t252 @t134))) % 218.87/219.08 (step @p278 :rule instantiate :premises (@p87) :args ((@list @t252))) % 218.87/219.08 (step @p279 :rule and_elim :premises (@p240) :args (3)) % 218.87/219.08 (step @p280 :rule instantiate :premises (@p279) :args (@t135)) % 218.87/219.08 (step @p281 :rule cnf_and_pos :args (@t341 0)) % 218.87/219.08 (step @p282 :rule reordering :premises (@p281) :args ((or @t340 @t342))) % 218.87/219.08 (step @p283 :rule chain_m_resolution :premises (@p282 @p280) :args (@t342 @t192 (@list @t339))) % 218.87/219.08 (step @p284 :rule cnf_or_pos :args (@t344)) % 218.87/219.08 (step @p285 :rule reordering :premises (@p284) :args ((or @t343 @t341 (not @t344)))) % 218.87/219.08 (step @p286 :rule chain_m_resolution :premises (@p285 @p283 @p278) :args (@t343 @t195 (@list @t341 @t344))) % 218.87/219.08 (step @p287 :rule cnf_and_pos :args (@t343 0)) % 218.87/219.08 (step @p288 :rule reordering :premises (@p287) :args ((or @t337 (not @t343)))) % 218.87/219.08 (step @p289 :rule chain_m_resolution :premises (@p288 @p286) :args (@t337 @t192 (@list @t343))) % 218.87/219.08 (step @p290 :rule cnf_or_pos :args (@t346)) % 218.87/219.08 (step @p291 :rule reordering :premises (@p290) :args ((or @t338 @t345 (not @t346)))) % 218.87/219.08 (step @p292 :rule chain_m_resolution :premises (@p291 @p289 @p277) :args (@t345 @t181 (@list @t337 @t346))) % 218.87/219.08 (step @p293 :rule cnf_or_pos :args (@t349)) % 218.87/219.08 (step @p294 :rule factoring :premises (@p293)) % 218.87/219.08 (step @p295 :rule reordering :premises (@p294) :args ((or @t331 @t348 @t335 @t347 (not @t349)))) % 218.87/219.08 (step @p296 :rule chain_m_resolution :premises (@p295 @p21 @p292 @p276 @p174) :args (@t347 (@list false false true false) (@list @t330 @t345 @t335 @t349))) % 218.87/219.08 (step @p297 :rule cnf_and_pos :args (@t347 0)) % 218.87/219.08 (step @p298 :rule reordering :premises (@p297) :args ((or @t333 (not @t347)))) % 218.87/219.08 (step @p299 :rule chain_m_resolution :premises (@p298 @p296) :args (@t333 @t192 (@list @t347))) % 218.87/219.08 (step @p300 :rule cnf_or_pos :args (@t350)) % 218.87/219.08 (step @p301 :rule factoring :premises (@p300)) % 218.87/219.08 (step @p302 :rule reordering :premises (@p301) :args ((or @t331 @t201 @t334 (not @t350)))) % 218.87/219.08 (step @p303 :rule chain_m_resolution :premises (@p302 @p21 @p299 @p173) :args (@t201 (@list false false false) (@list @t330 @t333 @t350))) % 218.87/219.08 (step @p304 :rule cnf_and_pos :args (@t351 0)) % 218.87/219.08 (step @p305 :rule reordering :premises (@p304) :args ((or @t200 @t352))) % 218.87/219.08 (step @p306 :rule chain_m_resolution :premises (@p305 @p303) :args (@t352 (@list true) (@list @t200))) % 218.87/219.08 (step @p307 :rule cnf_or_pos :args (@t355)) % 218.87/219.08 (step @p308 :rule reordering :premises (@p307) :args ((or @t331 @t353 @t354 @t202 @t351 (not @t355)))) % 218.87/219.08 (step @p309 false :rule chain_m_resolution :premises (@p308 @p306 @p108 @p103 @p102 @p81 @p21) :args (false (@list true true false false false false) (@list @t351 @t202 @t355 @t196 @t177 @t330))) % 218.87/219.08 ) % 218.87/219.08 % SZS output end Proof % 218.87/219.08 % cvc5 exiting %------------------------------------------------------------------------------