%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL674+1.005 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:31 AM UTC 2026 % Result : Theorem 2.54s 2.84s % Output : Proof 2.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL674+1.005 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.05 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.11/0.35 % Computer : n009.cluster.edu % 0.11/0.35 % Model : x86_64 x86_64 % 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.35 % Memory : 8046.5625MB % 0.11/0.35 % OS : Linux 6.8.0-71-generic % 0.11/0.35 % CPULimit : 300 % 0.11/0.35 % WCLimit : 300 % 0.11/0.35 % DateTime : Sat Sep 5 02:06:21 UTC 2026 % 0.11/0.35 % CPUTime : % 0.14/0.43 %----Proving TF0_NAR, FOF, or CNF % 2.54/2.84 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.54/2.84 % SZS status Theorem % 2.54/2.84 % SZS output start Proof % 2.54/2.84 ( % 2.54/2.84 (declare-sort $$unsorted 0) % 2.54/2.84 (declare-const tptp.p6 (-> $$unsorted Bool)) % 2.54/2.84 (declare-const tptp.r1 (-> $$unsorted $$unsorted Bool)) % 2.54/2.84 (declare-const tptp.p105 (-> $$unsorted Bool)) % 2.54/2.84 (declare-const tptp.p100 (-> $$unsorted Bool)) % 2.54/2.84 (declare-const tptp.p101 (-> $$unsorted Bool)) % 2.54/2.84 (declare-const tptp.p102 (-> $$unsorted Bool)) % 2.54/2.84 (declare-const tptp.p103 (-> $$unsorted Bool)) % 2.54/2.84 (declare-const tptp.p104 (-> $$unsorted Bool)) % 2.54/2.84 (declare-const tptp.p106 (-> $$unsorted Bool)) % 2.54/2.84 (declare-const tptp.p1 (-> $$unsorted Bool)) % 2.54/2.84 (declare-const tptp.p2 (-> $$unsorted Bool)) % 2.54/2.84 (declare-const tptp.p3 (-> $$unsorted Bool)) % 2.54/2.84 (declare-const tptp.p4 (-> $$unsorted Bool)) % 2.54/2.84 (declare-const tptp.p5 (-> $$unsorted Bool)) % 2.54/2.84 (define @t1 () (@var "X" $$unsorted)) % 2.54/2.84 (define @t2 () (@list @t1)) % 2.54/2.84 (define @t3 () (@var "Z" $$unsorted)) % 2.54/2.84 (define @t4 () (tptp.r1 @t1 @t3)) % 2.54/2.84 (define @t5 () (@var "Y" $$unsorted)) % 2.54/2.84 (define @t6 () (tptp.r1 @t5 @t3)) % 2.54/2.84 (define @t7 () (tptp.r1 @t1 @t5)) % 2.54/2.84 (define @t8 () (and @t7 @t6)) % 2.54/2.84 (define @t9 () (forall (@list @t1 @t5 @t3) (=> @t8 @t4))) % 2.54/2.84 (define @t10 () (tptp.p100 @t1)) % 2.54/2.84 (define @t11 () (tptp.p101 @t1)) % 2.54/2.84 (define @t12 () (not @t11)) % 2.54/2.84 (define @t13 () (tptp.p101 @t5)) % 2.54/2.84 (define @t14 () (not @t13)) % 2.54/2.84 (define @t15 () (tptp.p100 @t5)) % 2.54/2.84 (define @t16 () (or @t15 @t14)) % 2.54/2.84 (define @t17 () (tptp.p102 @t5)) % 2.54/2.84 (define @t18 () (not @t17)) % 2.54/2.84 (define @t19 () (or @t13 @t18)) % 2.54/2.84 (define @t20 () (tptp.p103 @t5)) % 2.54/2.84 (define @t21 () (not @t20)) % 2.54/2.84 (define @t22 () (or @t17 @t21)) % 2.54/2.84 (define @t23 () (tptp.p104 @t5)) % 2.54/2.84 (define @t24 () (not @t23)) % 2.54/2.84 (define @t25 () (or @t20 @t24)) % 2.54/2.84 (define @t26 () (tptp.p105 @t5)) % 2.54/2.84 (define @t27 () (not @t26)) % 2.54/2.84 (define @t28 () (or @t23 @t27)) % 2.54/2.84 (define @t29 () (or @t26 (not (tptp.p106 @t5)))) % 2.54/2.84 (define @t30 () (not @t15)) % 2.54/2.84 (define @t31 () (tptp.p1 @t5)) % 2.54/2.84 (define @t32 () (not @t31)) % 2.54/2.84 (define @t33 () (not @t10)) % 2.54/2.84 (define @t34 () (tptp.p1 @t1)) % 2.54/2.84 (define @t35 () (not (tptp.r1 @t5 @t1))) % 2.54/2.84 (define @t36 () (or (and (or (forall @t2 (or @t35 (not @t34) @t33)) @t31) (or (forall @t2 (or @t35 @t34 @t33)) @t32)) @t30)) % 2.54/2.84 (define @t37 () (tptp.p2 @t5)) % 2.54/2.84 (define @t38 () (not @t37)) % 2.54/2.84 (define @t39 () (tptp.p2 @t1)) % 2.54/2.84 (define @t40 () (not @t39)) % 2.54/2.84 (define @t41 () (or (and (or (forall @t2 (or @t35 @t40 @t12)) @t37) (or (forall @t2 (or @t35 @t39 @t12)) @t38)) @t14)) % 2.54/2.84 (define @t42 () (tptp.p3 @t5)) % 2.54/2.84 (define @t43 () (not @t42)) % 2.54/2.84 (define @t44 () (tptp.p102 @t1)) % 2.54/2.84 (define @t45 () (not @t44)) % 2.54/2.84 (define @t46 () (tptp.p3 @t1)) % 2.54/2.84 (define @t47 () (not @t46)) % 2.54/2.84 (define @t48 () (or (and (or (forall @t2 (or @t35 @t47 @t45)) @t42) (or (forall @t2 (or @t35 @t46 @t45)) @t43)) @t18)) % 2.54/2.84 (define @t49 () (tptp.p4 @t5)) % 2.54/2.84 (define @t50 () (not @t49)) % 2.54/2.84 (define @t51 () (tptp.p103 @t1)) % 2.54/2.84 (define @t52 () (not @t51)) % 2.54/2.84 (define @t53 () (tptp.p4 @t1)) % 2.54/2.84 (define @t54 () (not @t53)) % 2.54/2.84 (define @t55 () (or (and (or (forall @t2 (or @t35 @t54 @t52)) @t49) (or (forall @t2 (or @t35 @t53 @t52)) @t50)) @t21)) % 2.54/2.84 (define @t56 () (tptp.p5 @t5)) % 2.54/2.84 (define @t57 () (not @t56)) % 2.54/2.84 (define @t58 () (tptp.p104 @t1)) % 2.54/2.84 (define @t59 () (not @t58)) % 2.54/2.84 (define @t60 () (tptp.p5 @t1)) % 2.54/2.84 (define @t61 () (not @t60)) % 2.54/2.84 (define @t62 () (or (and (or (forall @t2 (or @t35 @t61 @t59)) @t56) (or (forall @t2 (or @t35 @t60 @t59)) @t57)) @t24)) % 2.54/2.84 (define @t63 () (tptp.p6 @t5)) % 2.54/2.84 (define @t64 () (not @t63)) % 2.54/2.84 (define @t65 () (tptp.p105 @t1)) % 2.54/2.84 (define @t66 () (not @t65)) % 2.54/2.84 (define @t67 () (tptp.p6 @t1)) % 2.54/2.84 (define @t68 () (not @t67)) % 2.54/2.84 (define @t69 () (or (and (or (forall @t2 (or @t35 @t68 @t66)) @t63) (or (forall @t2 (or @t35 @t67 @t66)) @t64)) @t27)) % 2.54/2.84 (define @t70 () (not (and @t14 @t15))) % 2.54/2.84 (define @t71 () (or @t35 (not (and @t39 @t45 @t11)))) % 2.54/2.84 (define @t72 () (forall @t2 @t71)) % 2.54/2.84 (define @t73 () (not @t72)) % 2.54/2.84 (define @t74 () (or @t35 (not (and @t40 @t45 @t11)))) % 2.54/2.84 (define @t75 () (forall @t2 @t74)) % 2.54/2.84 (define @t76 () (not @t75)) % 2.54/2.84 (define @t77 () (and @t76 @t73)) % 2.54/2.84 (define @t78 () (or @t77 @t70)) % 2.54/2.84 (define @t79 () (not (and @t18 @t13))) % 2.54/2.84 (define @t80 () (or @t35 (not (and @t46 @t52 @t44)))) % 2.54/2.84 (define @t81 () (forall @t2 @t80)) % 2.54/2.84 (define @t82 () (not @t81)) % 2.54/2.84 (define @t83 () (or @t35 (not (and @t47 @t52 @t44)))) % 2.54/2.84 (define @t84 () (forall @t2 @t83)) % 2.54/2.84 (define @t85 () (not @t84)) % 2.54/2.84 (define @t86 () (and @t85 @t82)) % 2.54/2.84 (define @t87 () (or @t86 @t79)) % 2.54/2.84 (define @t88 () (not (and @t21 @t17))) % 2.54/2.84 (define @t89 () (or @t35 (not (and @t53 @t59 @t51)))) % 2.54/2.84 (define @t90 () (forall @t2 @t89)) % 2.54/2.84 (define @t91 () (not @t90)) % 2.54/2.84 (define @t92 () (or @t35 (not (and @t54 @t59 @t51)))) % 2.54/2.84 (define @t93 () (forall @t2 @t92)) % 2.54/2.84 (define @t94 () (not @t93)) % 2.54/2.84 (define @t95 () (and @t94 @t91)) % 2.54/2.84 (define @t96 () (or @t95 @t88)) % 2.54/2.84 (define @t97 () (not (and @t24 @t20))) % 2.54/2.84 (define @t98 () (or @t35 (not (and @t60 @t66 @t58)))) % 2.54/2.84 (define @t99 () (forall @t2 @t98)) % 2.54/2.84 (define @t100 () (not @t99)) % 2.54/2.84 (define @t101 () (or @t35 (not (and @t61 @t66 @t58)))) % 2.54/2.84 (define @t102 () (forall @t2 @t101)) % 2.54/2.84 (define @t103 () (not @t102)) % 2.54/2.84 (define @t104 () (and @t103 @t100)) % 2.54/2.84 (define @t105 () (or @t104 @t97)) % 2.54/2.84 (define @t106 () (not (and @t27 @t23))) % 2.54/2.84 (define @t107 () (tptp.p106 @t1)) % 2.54/2.84 (define @t108 () (not @t107)) % 2.54/2.84 (define @t109 () (or @t35 (not (and @t67 @t108 @t65)))) % 2.54/2.84 (define @t110 () (forall @t2 @t109)) % 2.54/2.84 (define @t111 () (not @t110)) % 2.54/2.84 (define @t112 () (or @t35 (not (and @t68 @t108 @t65)))) % 2.54/2.84 (define @t113 () (forall @t2 @t112)) % 2.54/2.84 (define @t114 () (not @t113)) % 2.54/2.84 (define @t115 () (and @t114 @t111)) % 2.54/2.84 (define @t116 () (or @t115 @t106)) % 2.54/2.84 (define @t117 () (and @t116 @t105 @t96 @t87 @t78 @t69 @t62 @t55 @t48 @t41 @t36 @t29 @t28 @t25 @t22 @t19 @t16)) % 2.54/2.84 (define @t118 () (not @t7)) % 2.54/2.84 (define @t119 () (or @t118 @t117)) % 2.54/2.84 (define @t120 () (@list @t5)) % 2.54/2.84 (define @t121 () (forall @t120 @t119)) % 2.54/2.84 (define @t122 () (and @t121 @t12 @t10)) % 2.54/2.84 (define @t123 () (not @t122)) % 2.54/2.84 (define @t124 () (not (forall @t120 (or @t118 @t42)))) % 2.54/2.84 (define @t125 () (or @t124 @t123)) % 2.54/2.84 (define @t126 () (not @t125)) % 2.54/2.84 (define @t127 () (exists @t2 @t126)) % 2.54/2.84 (define @t128 () (@var "BOUND_VARIABLE_7838" $$unsorted)) % 2.54/2.84 (define @t129 () (not (tptp.p100 @t128))) % 2.54/2.84 (define @t130 () (tptp.p1 @t128)) % 2.54/2.84 (define @t131 () (not (tptp.r1 @t5 @t128))) % 2.54/2.84 (define @t132 () (or @t32 @t131 @t130 @t129)) % 2.54/2.84 (define @t133 () (@var "BOUND_VARIABLE_7828" $$unsorted)) % 2.54/2.84 (define @t134 () (not (tptp.p100 @t133))) % 2.54/2.84 (define @t135 () (not (tptp.p1 @t133))) % 2.54/2.84 (define @t136 () (not (tptp.r1 @t5 @t133))) % 2.54/2.84 (define @t137 () (or @t31 @t136 @t135 @t134)) % 2.54/2.84 (define @t138 () (or (and @t137 @t132) @t30)) % 2.54/2.84 (define @t139 () (@var "BOUND_VARIABLE_7817" $$unsorted)) % 2.54/2.84 (define @t140 () (not (tptp.p101 @t139))) % 2.54/2.84 (define @t141 () (tptp.p2 @t139)) % 2.54/2.84 (define @t142 () (not (tptp.r1 @t5 @t139))) % 2.54/2.84 (define @t143 () (or @t38 @t142 @t141 @t140)) % 2.54/2.84 (define @t144 () (@var "BOUND_VARIABLE_7807" $$unsorted)) % 2.54/2.84 (define @t145 () (not (tptp.p101 @t144))) % 2.54/2.84 (define @t146 () (not (tptp.p2 @t144))) % 2.54/2.84 (define @t147 () (not (tptp.r1 @t5 @t144))) % 2.54/2.84 (define @t148 () (or @t37 @t147 @t146 @t145)) % 2.54/2.84 (define @t149 () (or (and @t148 @t143) @t14)) % 2.54/2.84 (define @t150 () (@var "BOUND_VARIABLE_7796" $$unsorted)) % 2.54/2.84 (define @t151 () (not (tptp.p102 @t150))) % 2.54/2.84 (define @t152 () (tptp.p3 @t150)) % 2.54/2.84 (define @t153 () (not (tptp.r1 @t5 @t150))) % 2.54/2.84 (define @t154 () (or @t43 @t153 @t152 @t151)) % 2.54/2.84 (define @t155 () (@var "BOUND_VARIABLE_7786" $$unsorted)) % 2.54/2.84 (define @t156 () (not (tptp.p102 @t155))) % 2.54/2.84 (define @t157 () (not (tptp.p3 @t155))) % 2.54/2.84 (define @t158 () (not (tptp.r1 @t5 @t155))) % 2.54/2.84 (define @t159 () (or @t42 @t158 @t157 @t156)) % 2.54/2.84 (define @t160 () (or (and @t159 @t154) @t18)) % 2.54/2.84 (define @t161 () (@var "BOUND_VARIABLE_7775" $$unsorted)) % 2.54/2.84 (define @t162 () (not (tptp.p103 @t161))) % 2.54/2.84 (define @t163 () (tptp.p4 @t161)) % 2.54/2.84 (define @t164 () (not (tptp.r1 @t5 @t161))) % 2.54/2.84 (define @t165 () (or @t50 @t164 @t163 @t162)) % 2.54/2.84 (define @t166 () (@var "BOUND_VARIABLE_7765" $$unsorted)) % 2.54/2.84 (define @t167 () (not (tptp.p103 @t166))) % 2.54/2.84 (define @t168 () (not (tptp.p4 @t166))) % 2.54/2.84 (define @t169 () (not (tptp.r1 @t5 @t166))) % 2.54/2.84 (define @t170 () (or @t49 @t169 @t168 @t167)) % 2.54/2.84 (define @t171 () (or (and @t170 @t165) @t21)) % 2.54/2.84 (define @t172 () (@var "BOUND_VARIABLE_7754" $$unsorted)) % 2.54/2.84 (define @t173 () (not (tptp.p104 @t172))) % 2.54/2.84 (define @t174 () (tptp.p5 @t172)) % 2.54/2.84 (define @t175 () (not (tptp.r1 @t5 @t172))) % 2.54/2.84 (define @t176 () (or @t57 @t175 @t174 @t173)) % 2.54/2.84 (define @t177 () (@var "BOUND_VARIABLE_7744" $$unsorted)) % 2.54/2.84 (define @t178 () (not (tptp.p104 @t177))) % 2.54/2.84 (define @t179 () (not (tptp.p5 @t177))) % 2.54/2.84 (define @t180 () (not (tptp.r1 @t5 @t177))) % 2.54/2.84 (define @t181 () (or @t56 @t180 @t179 @t178)) % 2.54/2.84 (define @t182 () (or (and @t181 @t176) @t24)) % 2.54/2.84 (define @t183 () (@var "BOUND_VARIABLE_7733" $$unsorted)) % 2.54/2.84 (define @t184 () (not (tptp.p105 @t183))) % 2.54/2.84 (define @t185 () (tptp.p6 @t183)) % 2.54/2.84 (define @t186 () (not (tptp.r1 @t5 @t183))) % 2.54/2.84 (define @t187 () (or @t64 @t186 @t185 @t184)) % 2.54/2.84 (define @t188 () (@var "BOUND_VARIABLE_7723" $$unsorted)) % 2.54/2.84 (define @t189 () (not (tptp.p105 @t188))) % 2.54/2.84 (define @t190 () (not (tptp.p6 @t188))) % 2.54/2.84 (define @t191 () (not (tptp.r1 @t5 @t188))) % 2.54/2.84 (define @t192 () (or @t63 @t191 @t190 @t189)) % 2.54/2.84 (define @t193 () (or (and @t192 @t187) @t27)) % 2.54/2.84 (define @t194 () (@var "BOUND_VARIABLE_7889" $$unsorted)) % 2.54/2.84 (define @t195 () (not (tptp.p101 @t194))) % 2.54/2.84 (define @t196 () (tptp.p102 @t194)) % 2.54/2.84 (define @t197 () (not (tptp.p2 @t194))) % 2.54/2.84 (define @t198 () (@list @t194)) % 2.54/2.84 (define @t199 () (@var "BOUND_VARIABLE_7902" $$unsorted)) % 2.54/2.84 (define @t200 () (not (tptp.p101 @t199))) % 2.54/2.84 (define @t201 () (tptp.p102 @t199)) % 2.54/2.84 (define @t202 () (tptp.p2 @t199)) % 2.54/2.84 (define @t203 () (@list @t199)) % 2.54/2.84 (define @t204 () (@var "BOUND_VARIABLE_7916" $$unsorted)) % 2.54/2.84 (define @t205 () (not (tptp.p102 @t204))) % 2.54/2.84 (define @t206 () (tptp.p103 @t204)) % 2.54/2.84 (define @t207 () (not (tptp.p3 @t204))) % 2.54/2.84 (define @t208 () (@list @t204)) % 2.54/2.84 (define @t209 () (@var "BOUND_VARIABLE_7929" $$unsorted)) % 2.54/2.84 (define @t210 () (not (tptp.p102 @t209))) % 2.54/2.84 (define @t211 () (tptp.p103 @t209)) % 2.54/2.84 (define @t212 () (tptp.p3 @t209)) % 2.54/2.84 (define @t213 () (@list @t209)) % 2.54/2.84 (define @t214 () (@var "BOUND_VARIABLE_7943" $$unsorted)) % 2.54/2.84 (define @t215 () (not (tptp.p103 @t214))) % 2.54/2.84 (define @t216 () (tptp.p104 @t214)) % 2.54/2.84 (define @t217 () (not (tptp.p4 @t214))) % 2.54/2.84 (define @t218 () (@list @t214)) % 2.54/2.84 (define @t219 () (@var "BOUND_VARIABLE_7956" $$unsorted)) % 2.54/2.84 (define @t220 () (not (tptp.p103 @t219))) % 2.54/2.84 (define @t221 () (tptp.p104 @t219)) % 2.54/2.84 (define @t222 () (tptp.p4 @t219)) % 2.54/2.84 (define @t223 () (@list @t219)) % 2.54/2.84 (define @t224 () (@var "BOUND_VARIABLE_7970" $$unsorted)) % 2.54/2.84 (define @t225 () (not (tptp.p104 @t224))) % 2.54/2.84 (define @t226 () (tptp.p105 @t224)) % 2.54/2.84 (define @t227 () (not (tptp.p5 @t224))) % 2.54/2.84 (define @t228 () (@list @t224)) % 2.54/2.84 (define @t229 () (@var "BOUND_VARIABLE_7983" $$unsorted)) % 2.54/2.84 (define @t230 () (not (tptp.p104 @t229))) % 2.54/2.84 (define @t231 () (tptp.p105 @t229)) % 2.54/2.84 (define @t232 () (tptp.p5 @t229)) % 2.54/2.84 (define @t233 () (@list @t229)) % 2.54/2.84 (define @t234 () (@var "BOUND_VARIABLE_7997" $$unsorted)) % 2.54/2.84 (define @t235 () (not (tptp.p105 @t234))) % 2.54/2.84 (define @t236 () (tptp.p106 @t234)) % 2.54/2.84 (define @t237 () (not (tptp.p6 @t234))) % 2.54/2.84 (define @t238 () (@list @t234)) % 2.54/2.84 (define @t239 () (@var "BOUND_VARIABLE_8010" $$unsorted)) % 2.54/2.84 (define @t240 () (not (tptp.p105 @t239))) % 2.54/2.84 (define @t241 () (tptp.p106 @t239)) % 2.54/2.84 (define @t242 () (tptp.p6 @t239)) % 2.54/2.84 (define @t243 () (@list @t239)) % 2.54/2.84 (define @t244 () (and (or (and (not (forall @t243 (or (not (tptp.r1 @t5 @t239)) @t242 @t241 @t240))) (not (forall @t238 (or (not (tptp.r1 @t5 @t234)) @t237 @t236 @t235)))) @t26 @t24) (or (and (not (forall @t233 (or (not (tptp.r1 @t5 @t229)) @t232 @t231 @t230))) (not (forall @t228 (or (not (tptp.r1 @t5 @t224)) @t227 @t226 @t225)))) @t23 @t21) (or (and (not (forall @t223 (or (not (tptp.r1 @t5 @t219)) @t222 @t221 @t220))) (not (forall @t218 (or (not (tptp.r1 @t5 @t214)) @t217 @t216 @t215)))) @t20 @t18) (or (and (not (forall @t213 (or (not (tptp.r1 @t5 @t209)) @t212 @t211 @t210))) (not (forall @t208 (or (not (tptp.r1 @t5 @t204)) @t207 @t206 @t205)))) @t17 @t14) (or (and (not (forall @t203 (or (not (tptp.r1 @t5 @t199)) @t202 @t201 @t200))) (not (forall @t198 (or (not (tptp.r1 @t5 @t194)) @t197 @t196 @t195)))) @t13 @t30) @t193 @t182 @t171 @t160 @t149 @t138 @t29 @t28 @t25 @t22 @t19 @t16)) % 2.54/2.84 (define @t245 () (@list @t5 @t188 @t183 @t177 @t172 @t166 @t161 @t155 @t150 @t144 @t139 @t133 @t128)) % 2.54/2.84 (define @t246 () (forall @t245 (or @t118 @t244))) % 2.54/2.84 (define @t247 () (not @t246)) % 2.54/2.84 (define @t248 () (or @t124 @t247 @t11 @t33)) % 2.54/2.84 (define @t249 () (not @t12)) % 2.54/2.84 (define @t250 () (or @t247 @t249 @t33)) % 2.54/2.84 (define @t251 () (or @t124 (not (and @t246 @t12 @t10)))) % 2.54/2.84 (define @t252 () (or @t35 @t40 @t44 @t12)) % 2.54/2.84 (define @t253 () (forall @t2 @t252)) % 2.54/2.84 (define @t254 () (@list @t1)) % 2.54/2.84 (define @t255 () (not @t253)) % 2.54/2.84 (define @t256 () (or @t35 @t39 @t44 @t12)) % 2.54/2.84 (define @t257 () (forall @t2 @t256)) % 2.54/2.84 (define @t258 () (not @t257)) % 2.54/2.84 (define @t259 () (and @t258 @t255)) % 2.54/2.84 (define @t260 () (or @t259 @t13 @t30)) % 2.54/2.84 (define @t261 () (or @t35 @t47 @t51 @t45)) % 2.54/2.84 (define @t262 () (forall @t2 @t261)) % 2.54/2.84 (define @t263 () (not @t262)) % 2.54/2.84 (define @t264 () (or @t35 @t46 @t51 @t45)) % 2.54/2.84 (define @t265 () (forall @t2 @t264)) % 2.54/2.84 (define @t266 () (not @t265)) % 2.54/2.84 (define @t267 () (and @t266 @t263)) % 2.54/2.84 (define @t268 () (or @t267 @t17 @t14)) % 2.54/2.84 (define @t269 () (or @t35 @t54 @t58 @t52)) % 2.54/2.84 (define @t270 () (forall @t2 @t269)) % 2.54/2.84 (define @t271 () (not @t270)) % 2.54/2.84 (define @t272 () (or @t35 @t53 @t58 @t52)) % 2.54/2.84 (define @t273 () (forall @t2 @t272)) % 2.54/2.84 (define @t274 () (not @t273)) % 2.54/2.84 (define @t275 () (and @t274 @t271)) % 2.54/2.84 (define @t276 () (or @t275 @t20 @t18)) % 2.54/2.84 (define @t277 () (or @t35 @t61 @t65 @t59)) % 2.54/2.84 (define @t278 () (forall @t2 @t277)) % 2.54/2.84 (define @t279 () (not @t278)) % 2.54/2.84 (define @t280 () (or @t35 @t60 @t65 @t59)) % 2.54/2.84 (define @t281 () (forall @t2 @t280)) % 2.54/2.84 (define @t282 () (not @t281)) % 2.54/2.84 (define @t283 () (and @t282 @t279)) % 2.54/2.84 (define @t284 () (or @t283 @t23 @t21)) % 2.54/2.84 (define @t285 () (or @t35 @t68 @t107 @t66)) % 2.54/2.84 (define @t286 () (forall @t2 @t285)) % 2.54/2.84 (define @t287 () (not @t286)) % 2.54/2.84 (define @t288 () (or @t35 @t67 @t107 @t66)) % 2.54/2.84 (define @t289 () (forall @t2 @t288)) % 2.54/2.84 (define @t290 () (not @t289)) % 2.54/2.84 (define @t291 () (and @t290 @t287)) % 2.54/2.84 (define @t292 () (or @t291 @t26 @t24)) % 2.54/2.84 (define @t293 () (and @t292 @t284 @t276 @t268 @t260 @t193 @t182 @t171 @t160 @t149 @t138 @t29 @t28 @t25 @t22 @t19 @t16)) % 2.54/2.84 (define @t294 () (or @t118 @t293)) % 2.54/2.84 (define @t295 () (forall @t245 @t294)) % 2.54/2.84 (define @t296 () (and @t295 @t12 @t10)) % 2.54/2.84 (define @t297 () (not @t296)) % 2.54/2.84 (define @t298 () (or @t124 @t297)) % 2.54/2.84 (define @t299 () (not @t298)) % 2.54/2.84 (define @t300 () (forall @t2 (not @t299))) % 2.54/2.84 (define @t301 () (not @t300)) % 2.54/2.84 (define @t302 () (or @t131 @t130 @t129)) % 2.54/2.84 (define @t303 () (or @t302 @t32)) % 2.54/2.84 (define @t304 () (or @t136 @t135 @t134)) % 2.54/2.84 (define @t305 () (or @t304 @t31)) % 2.54/2.84 (define @t306 () (and @t305 @t303)) % 2.54/2.84 (define @t307 () (or @t306 @t30)) % 2.54/2.84 (define @t308 () (or @t142 @t141 @t140)) % 2.54/2.84 (define @t309 () (or @t308 @t38)) % 2.54/2.84 (define @t310 () (or @t147 @t146 @t145)) % 2.54/2.84 (define @t311 () (or @t310 @t37)) % 2.54/2.84 (define @t312 () (and @t311 @t309)) % 2.54/2.84 (define @t313 () (or @t312 @t14)) % 2.54/2.84 (define @t314 () (or @t153 @t152 @t151)) % 2.54/2.84 (define @t315 () (or @t314 @t43)) % 2.54/2.84 (define @t316 () (or @t158 @t157 @t156)) % 2.54/2.84 (define @t317 () (or @t316 @t42)) % 2.54/2.84 (define @t318 () (and @t317 @t315)) % 2.54/2.84 (define @t319 () (or @t318 @t18)) % 2.54/2.84 (define @t320 () (or @t164 @t163 @t162)) % 2.54/2.84 (define @t321 () (or @t320 @t50)) % 2.54/2.84 (define @t322 () (or @t169 @t168 @t167)) % 2.54/2.84 (define @t323 () (or @t322 @t49)) % 2.54/2.84 (define @t324 () (and @t323 @t321)) % 2.54/2.84 (define @t325 () (or @t324 @t21)) % 2.54/2.84 (define @t326 () (or @t175 @t174 @t173)) % 2.54/2.84 (define @t327 () (or @t326 @t57)) % 2.54/2.84 (define @t328 () (or @t180 @t179 @t178)) % 2.54/2.84 (define @t329 () (or @t328 @t56)) % 2.54/2.84 (define @t330 () (and @t329 @t327)) % 2.54/2.84 (define @t331 () (or @t330 @t24)) % 2.54/2.84 (define @t332 () (or @t186 @t185 @t184)) % 2.54/2.84 (define @t333 () (or @t332 @t64)) % 2.54/2.84 (define @t334 () (or @t191 @t190 @t189)) % 2.54/2.84 (define @t335 () (or @t334 @t63)) % 2.54/2.84 (define @t336 () (and @t335 @t333)) % 2.54/2.84 (define @t337 () (or @t336 @t27)) % 2.54/2.84 (define @t338 () (and @t292 @t284 @t276 @t268 @t260 @t337 @t331 @t325 @t319 @t313 @t307 @t29 @t28 @t25 @t22 @t19 @t16)) % 2.54/2.84 (define @t339 () (or @t118 @t338)) % 2.54/2.84 (define @t340 () (forall @t245 @t339)) % 2.54/2.84 (define @t341 () (@list @t188 @t183 @t177 @t172 @t166 @t161 @t155 @t150 @t144 @t139 @t133 @t128)) % 2.54/2.84 (define @t342 () (forall @t341 @t339)) % 2.54/2.84 (define @t343 () (forall @t341 @t16)) % 2.54/2.84 (define @t344 () (forall @t341 @t19)) % 2.54/2.84 (define @t345 () (forall @t341 @t22)) % 2.54/2.84 (define @t346 () (forall @t341 @t25)) % 2.54/2.84 (define @t347 () (forall @t341 @t28)) % 2.54/2.84 (define @t348 () (forall @t341 @t29)) % 2.54/2.84 (define @t349 () (@list @t128)) % 2.54/2.84 (define @t350 () (forall @t349 @t302)) % 2.54/2.84 (define @t351 () (or @t350 @t32)) % 2.54/2.84 (define @t352 () (forall @t349 @t303)) % 2.54/2.84 (define @t353 () (@list @t133 @t128)) % 2.54/2.84 (define @t354 () (forall @t353 @t303)) % 2.54/2.84 (define @t355 () (@list @t133)) % 2.54/2.84 (define @t356 () (forall @t355 @t304)) % 2.54/2.84 (define @t357 () (or @t356 @t31)) % 2.54/2.84 (define @t358 () (forall @t355 @t305)) % 2.54/2.84 (define @t359 () (forall @t353 @t305)) % 2.54/2.84 (define @t360 () (and @t359 @t354)) % 2.54/2.84 (define @t361 () (forall @t353 @t306)) % 2.54/2.84 (define @t362 () (or @t361 @t30)) % 2.54/2.84 (define @t363 () (forall @t353 @t307)) % 2.54/2.84 (define @t364 () (forall @t341 @t307)) % 2.54/2.84 (define @t365 () (@list @t139)) % 2.54/2.84 (define @t366 () (forall @t365 @t308)) % 2.54/2.84 (define @t367 () (or @t366 @t38)) % 2.54/2.84 (define @t368 () (forall @t365 @t309)) % 2.54/2.84 (define @t369 () (@list @t144 @t139)) % 2.54/2.84 (define @t370 () (forall @t369 @t309)) % 2.54/2.84 (define @t371 () (@list @t144)) % 2.54/2.84 (define @t372 () (forall @t371 @t310)) % 2.54/2.84 (define @t373 () (or @t372 @t37)) % 2.54/2.84 (define @t374 () (forall @t371 @t311)) % 2.54/2.84 (define @t375 () (forall @t369 @t311)) % 2.54/2.84 (define @t376 () (and @t375 @t370)) % 2.54/2.84 (define @t377 () (forall @t369 @t312)) % 2.54/2.84 (define @t378 () (or @t377 @t14)) % 2.54/2.84 (define @t379 () (forall @t369 @t313)) % 2.54/2.84 (define @t380 () (forall @t341 @t313)) % 2.54/2.84 (define @t381 () (@list @t150)) % 2.54/2.84 (define @t382 () (forall @t381 @t314)) % 2.54/2.84 (define @t383 () (or @t382 @t43)) % 2.54/2.84 (define @t384 () (forall @t381 @t315)) % 2.54/2.84 (define @t385 () (@list @t155 @t150)) % 2.54/2.84 (define @t386 () (forall @t385 @t315)) % 2.54/2.84 (define @t387 () (@list @t155)) % 2.54/2.84 (define @t388 () (forall @t387 @t316)) % 2.54/2.84 (define @t389 () (or @t388 @t42)) % 2.54/2.84 (define @t390 () (forall @t387 @t317)) % 2.54/2.84 (define @t391 () (forall @t385 @t317)) % 2.54/2.84 (define @t392 () (and @t391 @t386)) % 2.54/2.84 (define @t393 () (forall @t385 @t318)) % 2.54/2.84 (define @t394 () (or @t393 @t18)) % 2.54/2.84 (define @t395 () (forall @t385 @t319)) % 2.54/2.84 (define @t396 () (forall @t341 @t319)) % 2.54/2.84 (define @t397 () (@list @t161)) % 2.54/2.84 (define @t398 () (forall @t397 @t320)) % 2.54/2.84 (define @t399 () (or @t398 @t50)) % 2.54/2.84 (define @t400 () (forall @t397 @t321)) % 2.54/2.84 (define @t401 () (@list @t166 @t161)) % 2.54/2.84 (define @t402 () (forall @t401 @t321)) % 2.54/2.84 (define @t403 () (@list @t166)) % 2.54/2.84 (define @t404 () (forall @t403 @t322)) % 2.54/2.84 (define @t405 () (or @t404 @t49)) % 2.54/2.84 (define @t406 () (forall @t403 @t323)) % 2.54/2.84 (define @t407 () (forall @t401 @t323)) % 2.54/2.84 (define @t408 () (and @t407 @t402)) % 2.54/2.84 (define @t409 () (forall @t401 @t324)) % 2.54/2.84 (define @t410 () (or @t409 @t21)) % 2.54/2.84 (define @t411 () (forall @t401 @t325)) % 2.54/2.84 (define @t412 () (forall @t341 @t325)) % 2.54/2.84 (define @t413 () (@list @t172)) % 2.54/2.84 (define @t414 () (forall @t413 @t326)) % 2.54/2.84 (define @t415 () (or @t414 @t57)) % 2.54/2.84 (define @t416 () (forall @t413 @t327)) % 2.54/2.84 (define @t417 () (@list @t177 @t172)) % 2.54/2.84 (define @t418 () (forall @t417 @t327)) % 2.54/2.84 (define @t419 () (@list @t177)) % 2.54/2.84 (define @t420 () (forall @t419 @t328)) % 2.54/2.84 (define @t421 () (or @t420 @t56)) % 2.54/2.84 (define @t422 () (forall @t419 @t329)) % 2.54/2.84 (define @t423 () (forall @t417 @t329)) % 2.54/2.84 (define @t424 () (and @t423 @t418)) % 2.54/2.84 (define @t425 () (forall @t417 @t330)) % 2.54/2.84 (define @t426 () (or @t425 @t24)) % 2.54/2.84 (define @t427 () (forall @t417 @t331)) % 2.54/2.84 (define @t428 () (forall @t341 @t331)) % 2.54/2.84 (define @t429 () (@list @t183)) % 2.54/2.84 (define @t430 () (forall @t429 @t332)) % 2.54/2.84 (define @t431 () (or @t430 @t64)) % 2.54/2.84 (define @t432 () (forall @t429 @t333)) % 2.54/2.84 (define @t433 () (@list @t188 @t183)) % 2.54/2.84 (define @t434 () (forall @t433 @t333)) % 2.54/2.84 (define @t435 () (@list @t188)) % 2.54/2.84 (define @t436 () (forall @t435 @t334)) % 2.54/2.84 (define @t437 () (or @t436 @t63)) % 2.54/2.84 (define @t438 () (forall @t435 @t335)) % 2.54/2.84 (define @t439 () (forall @t433 @t335)) % 2.54/2.84 (define @t440 () (and @t439 @t434)) % 2.54/2.84 (define @t441 () (forall @t433 @t336)) % 2.54/2.84 (define @t442 () (or @t441 @t27)) % 2.54/2.84 (define @t443 () (forall @t433 @t337)) % 2.54/2.84 (define @t444 () (forall @t341 @t337)) % 2.54/2.84 (define @t445 () (forall @t341 @t260)) % 2.54/2.84 (define @t446 () (forall @t341 @t268)) % 2.54/2.84 (define @t447 () (forall @t341 @t276)) % 2.54/2.84 (define @t448 () (forall @t341 @t284)) % 2.54/2.84 (define @t449 () (forall @t341 @t292)) % 2.54/2.84 (define @t450 () (and @t449 @t448 @t447 @t446 @t445 @t444 @t428 @t412 @t396 @t380 @t364 @t348 @t347 @t346 @t345 @t344 @t343)) % 2.54/2.84 (define @t451 () (forall @t341 @t338)) % 2.54/2.84 (define @t452 () (or @t118 @t451)) % 2.54/2.84 (define @t453 () (or @t259 @t70)) % 2.54/2.84 (define @t454 () (or @t267 @t79)) % 2.54/2.84 (define @t455 () (or @t275 @t88)) % 2.54/2.84 (define @t456 () (or @t283 @t97)) % 2.54/2.84 (define @t457 () (or @t291 @t106)) % 2.54/2.84 (define @t458 () (and @t457 @t456 @t455 @t454 @t453 @t69 @t62 @t55 @t48 @t41 @t36 @t29 @t28 @t25 @t22 @t19 @t16)) % 2.54/2.84 (define @t459 () (or @t118 @t458)) % 2.54/2.84 (define @t460 () (not @t45)) % 2.54/2.84 (define @t461 () (or @t40 @t460 @t12)) % 2.54/2.84 (define @t462 () (or @t460 @t12)) % 2.54/2.84 (define @t463 () (not (and @t45 @t11))) % 2.54/2.84 (define @t464 () (not @t40)) % 2.54/2.84 (define @t465 () (or @t464 @t460 @t12)) % 2.54/2.84 (define @t466 () (not @t52)) % 2.54/2.84 (define @t467 () (or @t47 @t466 @t45)) % 2.54/2.84 (define @t468 () (or @t466 @t45)) % 2.54/2.84 (define @t469 () (not (and @t52 @t44))) % 2.54/2.84 (define @t470 () (not @t47)) % 2.54/2.84 (define @t471 () (or @t470 @t466 @t45)) % 2.54/2.84 (define @t472 () (not @t59)) % 2.54/2.84 (define @t473 () (or @t54 @t472 @t52)) % 2.54/2.84 (define @t474 () (or @t472 @t52)) % 2.54/2.84 (define @t475 () (not (and @t59 @t51))) % 2.54/2.84 (define @t476 () (not @t54)) % 2.54/2.84 (define @t477 () (or @t476 @t472 @t52)) % 2.54/2.84 (define @t478 () (not @t66)) % 2.54/2.84 (define @t479 () (or @t61 @t478 @t59)) % 2.54/2.84 (define @t480 () (or @t478 @t59)) % 2.54/2.84 (define @t481 () (not (and @t66 @t58))) % 2.54/2.84 (define @t482 () (not @t61)) % 2.54/2.84 (define @t483 () (or @t482 @t478 @t59)) % 2.54/2.84 (define @t484 () (not @t108)) % 2.54/2.84 (define @t485 () (or @t68 @t484 @t66)) % 2.54/2.84 (define @t486 () (or @t484 @t66)) % 2.54/2.84 (define @t487 () (not (and @t108 @t65))) % 2.54/2.84 (define @t488 () (not @t68)) % 2.54/2.84 (define @t489 () (or @t488 @t484 @t66)) % 2.54/2.84 (define @t490 () (@quantifiers_skolemize (forall @t2 @t248) 0)) % 2.54/2.84 (define @t491 () (not (tptp.r1 @t490 @t5))) % 2.54/2.84 (define @t492 () (forall @t245 (or @t491 @t244))) % 2.54/2.84 (define @t493 () (tptp.p100 @t490)) % 2.54/2.84 (define @t494 () (not @t493)) % 2.54/2.84 (define @t495 () (tptp.p101 @t490)) % 2.54/2.84 (define @t496 () (not @t492)) % 2.54/2.84 (define @t497 () (forall @t120 (or @t491 @t42))) % 2.54/2.84 (define @t498 () (not @t497)) % 2.54/2.84 (define @t499 () (or @t498 @t496 @t495 @t494)) % 2.54/2.84 (define @t500 () (@list true)) % 2.54/2.84 (define @t501 () (@list @t499)) % 2.54/2.84 (define @t502 () (forall @t243 (or (not (tptp.r1 @t490 @t239)) @t242 @t241 @t240))) % 2.54/2.84 (define @t503 () (@quantifiers_skolemize @t502 0)) % 2.54/2.84 (define @t504 () (forall @t218 (or (not (tptp.r1 @t490 @t214)) @t217 @t216 @t215))) % 2.54/2.84 (define @t505 () (@quantifiers_skolemize @t504 0)) % 2.54/2.84 (define @t506 () (forall @t203 (or (not (tptp.r1 @t490 @t199)) @t202 @t201 @t200))) % 2.54/2.84 (define @t507 () (@quantifiers_skolemize @t506 0)) % 2.54/2.84 (define @t508 () (forall @t198 (or (not (tptp.r1 @t490 @t194)) @t197 @t196 @t195))) % 2.54/2.84 (define @t509 () (@quantifiers_skolemize @t508 0)) % 2.54/2.84 (define @t510 () (not @t495)) % 2.54/2.84 (define @t511 () (tptp.p102 @t490)) % 2.54/2.84 (define @t512 () (not @t511)) % 2.54/2.84 (define @t513 () (tptp.p103 @t490)) % 2.54/2.84 (define @t514 () (not @t513)) % 2.54/2.84 (define @t515 () (tptp.p104 @t490)) % 2.54/2.84 (define @t516 () (not @t515)) % 2.54/2.84 (define @t517 () (tptp.p105 @t490)) % 2.54/2.84 (define @t518 () (not @t517)) % 2.54/2.84 (define @t519 () (tptp.p1 @t490)) % 2.54/2.84 (define @t520 () (tptp.r1 @t490 @t490)) % 2.54/2.84 (define @t521 () (not @t520)) % 2.54/2.84 (define @t522 () (not @t519)) % 2.54/2.84 (define @t523 () (tptp.p2 @t490)) % 2.54/2.84 (define @t524 () (not @t523)) % 2.54/2.84 (define @t525 () (tptp.p3 @t490)) % 2.54/2.84 (define @t526 () (not @t525)) % 2.54/2.84 (define @t527 () (tptp.p4 @t490)) % 2.54/2.84 (define @t528 () (not @t527)) % 2.54/2.84 (define @t529 () (tptp.p5 @t490)) % 2.54/2.84 (define @t530 () (not @t529)) % 2.54/2.84 (define @t531 () (tptp.p6 @t490)) % 2.54/2.84 (define @t532 () (not @t531)) % 2.54/2.84 (define @t533 () (not @t508)) % 2.54/2.84 (define @t534 () (and (not @t506) @t533)) % 2.54/2.84 (define @t535 () (or @t534 @t495 @t494)) % 2.54/2.84 (define @t536 () (and (or (and (not @t502) (not (forall @t238 (or (not (tptp.r1 @t490 @t234)) @t237 @t236 @t235)))) @t517 @t516) (or (and (not (forall @t233 (or (not (tptp.r1 @t490 @t229)) @t232 @t231 @t230))) (not (forall @t228 (or (not (tptp.r1 @t490 @t224)) @t227 @t226 @t225)))) @t515 @t514) (or (and (not (forall @t223 (or (not (tptp.r1 @t490 @t219)) @t222 @t221 @t220))) (not @t504)) @t513 @t512) (or (and (not (forall @t213 (or (not (tptp.r1 @t490 @t209)) @t212 @t211 @t210))) (not (forall @t208 (or (not (tptp.r1 @t490 @t204)) @t207 @t206 @t205)))) @t511 @t510) @t535 (or (and (or @t531 @t521 @t532 @t518) (or @t532 @t521 @t531 @t518)) @t518) (or (and (or @t529 @t521 @t530 @t516) (or @t530 @t521 @t529 @t516)) @t516) (or (and (or @t527 @t521 @t528 @t514) (or @t528 @t521 @t527 @t514)) @t514) (or (and (or @t525 @t521 @t526 @t512) (or @t526 @t521 @t525 @t512)) @t512) (or (and (or @t523 @t521 @t524 @t510) (or @t524 @t521 @t523 @t510)) @t510) (or (and (or @t519 @t521 @t522 @t494) (or @t522 @t521 @t519 @t494)) @t494) (or @t517 (not (tptp.p106 @t490))) (or @t515 @t518) (or @t513 @t516) (or @t511 @t514) (or @t495 @t512) (or @t493 @t510))) % 2.54/2.84 (define @t537 () (or @t521 @t536)) % 2.54/2.84 (define @t538 () (@list false false)) % 2.54/2.84 (define @t539 () (@list false)) % 2.54/2.84 (define @t540 () (@list true false false)) % 2.54/2.84 (define @t541 () (tptp.r1 @t490 @t509)) % 2.54/2.84 (define @t542 () (tptp.p101 @t509)) % 2.54/2.84 (define @t543 () (not @t542)) % 2.54/2.84 (define @t544 () (tptp.p102 @t509)) % 2.54/2.84 (define @t545 () (tptp.p2 @t509)) % 2.54/2.84 (define @t546 () (not @t545)) % 2.54/2.84 (define @t547 () (not @t541)) % 2.54/2.84 (define @t548 () (or @t547 @t546 @t544 @t543)) % 2.54/2.84 (define @t549 () (@list @t548)) % 2.54/2.84 (define @t550 () (tptp.p100 @t509)) % 2.54/2.84 (define @t551 () (not @t544)) % 2.54/2.84 (define @t552 () (tptp.p103 @t509)) % 2.54/2.84 (define @t553 () (not @t552)) % 2.54/2.84 (define @t554 () (tptp.p104 @t509)) % 2.54/2.84 (define @t555 () (not @t554)) % 2.54/2.84 (define @t556 () (tptp.p105 @t509)) % 2.54/2.84 (define @t557 () (not @t556)) % 2.54/2.84 (define @t558 () (not @t550)) % 2.54/2.84 (define @t559 () (not (tptp.p100 @t503))) % 2.54/2.84 (define @t560 () (tptp.p1 @t503)) % 2.54/2.84 (define @t561 () (not (tptp.r1 @t509 @t503))) % 2.54/2.84 (define @t562 () (tptp.p1 @t509)) % 2.54/2.84 (define @t563 () (not (tptp.p101 @t505))) % 2.54/2.84 (define @t564 () (tptp.p2 @t505)) % 2.54/2.84 (define @t565 () (not (tptp.r1 @t509 @t505))) % 2.54/2.84 (define @t566 () (not (tptp.p102 @t505))) % 2.54/2.84 (define @t567 () (tptp.p3 @t505)) % 2.54/2.84 (define @t568 () (tptp.p3 @t509)) % 2.54/2.84 (define @t569 () (not (tptp.p103 @t507))) % 2.54/2.84 (define @t570 () (tptp.p4 @t507)) % 2.54/2.84 (define @t571 () (not (tptp.r1 @t509 @t507))) % 2.54/2.84 (define @t572 () (tptp.p4 @t509)) % 2.54/2.84 (define @t573 () (not (tptp.p104 @t507))) % 2.54/2.84 (define @t574 () (tptp.p5 @t507)) % 2.54/2.84 (define @t575 () (tptp.p5 @t509)) % 2.54/2.84 (define @t576 () (tptp.p6 @t509)) % 2.54/2.84 (define @t577 () (not @t576)) % 2.54/2.84 (define @t578 () (forall @t213 (or (not (tptp.r1 @t509 @t209)) @t212 @t211 @t210))) % 2.54/2.84 (define @t579 () (not @t578)) % 2.54/2.84 (define @t580 () (and @t579 (not (forall @t208 (or (not (tptp.r1 @t509 @t204)) @t207 @t206 @t205))))) % 2.54/2.84 (define @t581 () (or @t580 @t544 @t543)) % 2.54/2.84 (define @t582 () (and (or (and (not (forall @t243 (or (not (tptp.r1 @t509 @t239)) @t242 @t241 @t240))) (not (forall @t238 (or (not (tptp.r1 @t509 @t234)) @t237 @t236 @t235)))) @t556 @t555) (or (and (not (forall @t233 (or (not (tptp.r1 @t509 @t229)) @t232 @t231 @t230))) (not (forall @t228 (or (not (tptp.r1 @t509 @t224)) @t227 @t226 @t225)))) @t554 @t553) (or (and (not (forall @t223 (or (not (tptp.r1 @t509 @t219)) @t222 @t221 @t220))) (not (forall @t218 (or (not (tptp.r1 @t509 @t214)) @t217 @t216 @t215)))) @t552 @t551) @t581 (or (and (not (forall @t203 (or (not (tptp.r1 @t509 @t199)) @t202 @t201 @t200))) (not (forall @t198 (or (not (tptp.r1 @t509 @t194)) @t197 @t196 @t195)))) @t542 @t558) (or (and (or @t576 (not (tptp.r1 @t509 @t509)) @t577 @t557) (or @t577 @t571 (tptp.p6 @t507) (not (tptp.p105 @t507)))) @t557) (or (and (or @t575 @t571 (not @t574) @t573) (or (not @t575) @t571 @t574 @t573)) @t555) (or (and (or @t572 @t571 (not @t570) @t569) (or (not @t572) @t571 @t570 @t569)) @t553) (or (and (or @t568 @t565 (not @t567) @t566) (or (not @t568) @t565 @t567 @t566)) @t551) (or (and (or @t545 @t565 (not @t564) @t563) (or @t546 @t565 @t564 @t563)) @t543) (or (and (or @t562 @t561 (not @t560) @t559) (or (not @t562) @t561 @t560 @t559)) @t558) (or @t556 (not (tptp.p106 @t509))) (or @t554 @t557) (or @t552 @t555) (or @t544 @t553) (or @t542 @t551) (or @t550 @t543))) % 2.54/2.84 (define @t583 () (or @t547 @t582)) % 2.54/2.84 (define @t584 () (@quantifiers_skolemize @t578 0)) % 2.54/2.84 (define @t585 () (tptp.p3 @t584)) % 2.54/2.84 (define @t586 () (tptp.r1 @t509 @t584)) % 2.54/2.84 (define @t587 () (not @t586)) % 2.54/2.84 (define @t588 () (or @t587 @t585 (tptp.p103 @t584) (not (tptp.p102 @t584)))) % 2.54/2.84 (define @t589 () (@list @t588)) % 2.54/2.84 (define @t590 () (not @t6)) % 2.54/2.84 (define @t591 () (tptp.r1 @t490 @t584)) % 2.54/2.84 (define @t592 () (or @t547 @t587 @t591)) % 2.54/2.84 (define @t593 () (not @t591)) % 2.54/2.84 (define @t594 () (or @t593 @t585)) % 2.54/2.84 (assume @p1 (forall @t2 (tptp.r1 @t1 @t1))) % 2.54/2.84 (assume @p2 @t9) % 2.54/2.84 (assume @p3 (not (not @t127))) % 2.54/2.84 (assume @p4 true) % 2.54/2.84 (step @p5 :rule aci_norm :args ((= (or @t124 (or @t247 @t11 @t33)) @t248))) % 2.54/2.84 (step @p6 :rule refl :args (@t33)) % 2.54/2.84 (step @p7 :rule bool-double-not-elim :args (@t11)) % 2.54/2.84 (step @p8 :rule refl :args (@t247)) % 2.54/2.84 (step @p9 :rule nary_cong :premises (@p8 @p7 @p6) :args (@t250)) % 2.54/2.84 (step @p10 :rule aci_norm :args ((= (or @t247 (or @t249 @t33)) @t250))) % 2.54/2.84 (step @p11 :rule trans :premises (@p10 @p9)) % 2.54/2.84 (step @p12 :rule bool-and-de-morgan :args (@t12 @t10 true)) % 2.54/2.84 (step @p13 :rule nary_cong :premises (@p8 @p12) :args ((or @t247 (not (and @t12 @t10))))) % 2.54/2.84 (step @p14 :rule bool-and-de-morgan :args (@t246 @t12 (and @t10))) % 2.54/2.84 (step @p15 :rule trans :premises (@p14 @p13)) % 2.54/2.84 (step @p16 :rule trans :premises (@p15 @p11)) % 2.54/2.84 (step @p17 :rule refl :args (@t124)) % 2.54/2.84 (step @p18 :rule nary_cong :premises (@p17 @p16) :args (@t251)) % 2.54/2.84 (step @p19 :rule trans :premises (@p18 @p5)) % 2.54/2.84 (step @p20 :rule cong :premises (@p19) :args ((forall @t2 @t251))) % 2.54/2.84 (step @p21 :rule refl :args (@t10)) % 2.54/2.84 (step @p22 :rule refl :args (@t12)) % 2.54/2.84 (step @p23 :rule refl :args (@t16)) % 2.54/2.84 (step @p24 :rule refl :args (@t19)) % 2.54/2.84 (step @p25 :rule refl :args (@t22)) % 2.54/2.84 (step @p26 :rule refl :args (@t25)) % 2.54/2.84 (step @p27 :rule refl :args (@t28)) % 2.54/2.84 (step @p28 :rule refl :args (@t29)) % 2.54/2.84 (step @p29 :rule refl :args (@t138)) % 2.54/2.84 (step @p30 :rule refl :args (@t149)) % 2.54/2.84 (step @p31 :rule refl :args (@t160)) % 2.54/2.84 (step @p32 :rule refl :args (@t171)) % 2.54/2.84 (step @p33 :rule refl :args (@t182)) % 2.54/2.84 (step @p34 :rule refl :args (@t193)) % 2.54/2.84 (step @p35 :rule refl :args (@t30)) % 2.54/2.84 (step @p36 :rule refl :args (@t13)) % 2.54/2.84 (step @p37 :rule alpha_equiv :args (@t253 @t254 (@list @t194))) % 2.54/2.84 (step @p38 :rule cong :premises (@p37) :args (@t255)) % 2.54/2.84 (step @p39 :rule alpha_equiv :args (@t257 @t254 (@list @t199))) % 2.54/2.84 (step @p40 :rule cong :premises (@p39) :args (@t258)) % 2.54/2.84 (step @p41 :rule nary_cong :premises (@p40 @p38) :args (@t259)) % 2.54/2.84 (step @p42 :rule nary_cong :premises (@p41 @p36 @p35) :args (@t260)) % 2.54/2.84 (step @p43 :rule refl :args (@t14)) % 2.54/2.84 (step @p44 :rule refl :args (@t17)) % 2.54/2.84 (step @p45 :rule alpha_equiv :args (@t262 @t254 (@list @t204))) % 2.54/2.84 (step @p46 :rule cong :premises (@p45) :args (@t263)) % 2.54/2.84 (step @p47 :rule alpha_equiv :args (@t265 @t254 (@list @t209))) % 2.54/2.84 (step @p48 :rule cong :premises (@p47) :args (@t266)) % 2.54/2.84 (step @p49 :rule nary_cong :premises (@p48 @p46) :args (@t267)) % 2.54/2.84 (step @p50 :rule nary_cong :premises (@p49 @p44 @p43) :args (@t268)) % 2.54/2.84 (step @p51 :rule refl :args (@t18)) % 2.54/2.84 (step @p52 :rule refl :args (@t20)) % 2.54/2.84 (step @p53 :rule alpha_equiv :args (@t270 @t254 (@list @t214))) % 2.54/2.84 (step @p54 :rule cong :premises (@p53) :args (@t271)) % 2.54/2.84 (step @p55 :rule alpha_equiv :args (@t273 @t254 (@list @t219))) % 2.54/2.84 (step @p56 :rule cong :premises (@p55) :args (@t274)) % 2.54/2.84 (step @p57 :rule nary_cong :premises (@p56 @p54) :args (@t275)) % 2.54/2.84 (step @p58 :rule nary_cong :premises (@p57 @p52 @p51) :args (@t276)) % 2.54/2.84 (step @p59 :rule refl :args (@t21)) % 2.54/2.84 (step @p60 :rule refl :args (@t23)) % 2.54/2.84 (step @p61 :rule alpha_equiv :args (@t278 @t254 (@list @t224))) % 2.54/2.84 (step @p62 :rule cong :premises (@p61) :args (@t279)) % 2.54/2.84 (step @p63 :rule alpha_equiv :args (@t281 @t254 (@list @t229))) % 2.54/2.84 (step @p64 :rule cong :premises (@p63) :args (@t282)) % 2.54/2.84 (step @p65 :rule nary_cong :premises (@p64 @p62) :args (@t283)) % 2.54/2.84 (step @p66 :rule nary_cong :premises (@p65 @p60 @p59) :args (@t284)) % 2.54/2.84 (step @p67 :rule refl :args (@t24)) % 2.54/2.84 (step @p68 :rule refl :args (@t26)) % 2.54/2.84 (step @p69 :rule alpha_equiv :args (@t286 @t254 (@list @t234))) % 2.54/2.84 (step @p70 :rule cong :premises (@p69) :args (@t287)) % 2.54/2.84 (step @p71 :rule alpha_equiv :args (@t289 @t254 (@list @t239))) % 2.54/2.84 (step @p72 :rule cong :premises (@p71) :args (@t290)) % 2.54/2.84 (step @p73 :rule nary_cong :premises (@p72 @p70) :args (@t291)) % 2.54/2.84 (step @p74 :rule nary_cong :premises (@p73 @p68 @p67) :args (@t292)) % 2.54/2.84 (step @p75 :rule nary_cong :premises (@p74 @p66 @p58 @p50 @p42 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @p23) :args (@t293)) % 2.54/2.84 (step @p76 :rule refl :args (@t118)) % 2.54/2.84 (step @p77 :rule nary_cong :premises (@p76 @p75) :args (@t294)) % 2.54/2.84 (step @p78 :rule cong :premises (@p77) :args (@t295)) % 2.54/2.84 (step @p79 :rule nary_cong :premises (@p78 @p22 @p21) :args (@t296)) % 2.54/2.84 (step @p80 :rule cong :premises (@p79) :args (@t297)) % 2.54/2.84 (step @p81 :rule nary_cong :premises (@p17 @p80) :args (@t298)) % 2.54/2.84 (step @p82 :rule cong :premises 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:premises (@p564 @p558) :args (@t541 @t500 @t549)) % 2.54/2.84 (step @p566 :rule cnf_or_pos :args (@t583)) % 2.54/2.84 (step @p567 :rule reordering :premises (@p566) :args ((or @t547 @t582 (not @t583)))) % 2.54/2.84 (step @p568 :rule chain_m_resolution :premises (@p567 @p565 @p535) :args (@t582 @t538 (@list @t541 @t583))) % 2.54/2.84 (step @p569 :rule cnf_and_pos :args (@t582 3)) % 2.54/2.84 (step @p570 :rule reordering :premises (@p569) :args ((or @t581 (not @t582)))) % 2.54/2.84 (step @p571 :rule chain_m_resolution :premises (@p570 @p568) :args (@t581 @t539 (@list @t582))) % 2.54/2.84 (step @p572 :rule bool-double-not-elim :args (@t542)) % 2.54/2.84 (step @p573 :rule nary_cong :premises (@p560 @p572) :args ((or @t548 (not @t543)))) % 2.54/2.84 (step @p574 :rule cnf_or_neg :args (@t548 3)) % 2.54/2.84 (step @p575 :rule eq_resolve :premises (@p574 @p573)) % 2.54/2.84 (step @p576 :rule reordering :premises (@p575) :args ((or @t542 @t548))) % 2.54/2.84 (step @p577 :rule chain_m_resolution :premises (@p576 @p558) :args (@t542 @t500 @t549)) % 2.54/2.84 (step @p578 :rule cnf_or_neg :args (@t548 2)) % 2.54/2.84 (step @p579 :rule chain_m_resolution :premises (@p578 @p558) :args (@t551 @t500 @t549)) % 2.54/2.84 (step @p580 :rule cnf_or_pos :args (@t581)) % 2.54/2.84 (step @p581 :rule reordering :premises (@p580) :args ((or @t544 @t543 @t580 (not @t581)))) % 2.54/2.84 (step @p582 :rule chain_m_resolution :premises (@p581 @p579 @p577 @p571) :args (@t580 @t540 (@list @t544 @t542 @t581))) % 2.54/2.84 (step @p583 :rule cnf_and_pos :args (@t580 0)) % 2.54/2.84 (step @p584 :rule reordering :premises (@p583) :args ((or @t579 (not @t580)))) % 2.54/2.84 (step @p585 :rule chain_m_resolution :premises (@p584 @p582) :args (@t579 @t539 (@list @t580))) % 2.54/2.84 (step @p586 :rule skolemize :premises (@p585)) % 2.54/2.84 (step @p587 :rule cnf_or_neg :args (@t588 1)) % 2.54/2.84 (step @p588 :rule chain_m_resolution :premises (@p587 @p586) :args ((not @t585) @t500 @t589)) % 2.54/2.84 (step @p589 :rule bool-double-not-elim :args (@t497)) % 2.54/2.84 (step @p590 :rule nary_cong :premises (@p529 @p589) :args ((or @t499 (not @t498)))) % 2.54/2.84 (step @p591 :rule cnf_or_neg :args (@t499 0)) % 2.54/2.84 (step @p592 :rule eq_resolve :premises (@p591 @p590)) % 2.54/2.84 (step @p593 :rule reordering :premises (@p592) :args ((or @t497 @t499))) % 2.54/2.84 (step @p594 :rule chain_m_resolution :premises (@p593 @p527) :args (@t497 @t500 @t501)) % 2.54/2.84 (step @p595 :rule instantiate :premises (@p594) :args ((@list @t584))) % 2.54/2.84 (step @p596 :rule aci_norm :args ((= (or (or @t118 @t590) @t4) (or @t118 @t590 @t4)))) % 2.54/2.84 (step @p597 :rule refl :args (@t4)) % 2.54/2.84 (step @p598 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 2.54/2.84 (step @p599 :rule nary_cong :premises (@p598 @p597) :args ((or (not @t8) @t4))) % 2.54/2.84 (step @p600 :rule trans :premises (@p599 @p596)) % 2.54/2.84 (step @p601 :rule bool-impl-elim :args (@t8 @t4)) % 2.54/2.84 (step @p602 :rule trans :premises (@p601 @p600)) % 2.54/2.84 (step @p603 :rule cong :premises (@p602) :args (@t9)) % 2.54/2.84 (step @p604 :rule eq_resolve :premises (@p2 @p603)) % 2.54/2.84 (step @p605 :rule instantiate :premises (@p604) :args ((@list @t490 @t509 @t584))) % 2.54/2.84 (step @p606 :rule bool-double-not-elim :args (@t586)) % 2.54/2.84 (step @p607 :rule refl :args (@t588)) % 2.54/2.84 (step @p608 :rule nary_cong :premises (@p607 @p606) :args ((or @t588 (not @t587)))) % 2.54/2.84 (step @p609 :rule cnf_or_neg :args (@t588 0)) % 2.54/2.84 (step @p610 :rule eq_resolve :premises (@p609 @p608)) % 2.54/2.84 (step @p611 :rule reordering :premises (@p610) :args ((or @t586 @t588))) % 2.54/2.84 (step @p612 :rule chain_m_resolution :premises (@p611 @p586) :args (@t586 @t500 @t589)) % 2.54/2.84 (step @p613 :rule cnf_or_pos :args (@t592)) % 2.54/2.84 (step @p614 :rule reordering :premises (@p613) :args ((or @t547 @t587 @t591 (not @t592)))) % 2.54/2.84 (step @p615 :rule chain_m_resolution :premises (@p614 @p565 @p612 @p605) :args (@t591 (@list false false false) (@list @t541 @t586 @t592))) % 2.54/2.84 (step @p616 :rule cnf_or_pos :args (@t594)) % 2.54/2.84 (step @p617 :rule reordering :premises (@p616) :args ((or @t585 @t593 (not @t594)))) % 2.54/2.84 (step @p618 false :rule chain_m_resolution :premises (@p617 @p615 @p595 @p588) :args (false (@list false false true) (@list @t591 @t594 @t585))) % 2.54/2.84 ) % 2.54/2.84 % SZS output end Proof % 2.54/2.84 % cvc5 exiting %------------------------------------------------------------------------------