%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG072+1 : TPTP v9.2.1. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 08:05:09 AM UTC 2026 % Result : Theorem 0.46s 0.65s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG072+1 : TPTP v9.2.1. Released v2.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 01:38:45 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.65 % SZS status Theorem % 0.46/0.65 % SZS output start Proof % 0.46/0.65 ( % 0.46/0.65 (declare-sort $$unsorted 0) % 0.46/0.65 (declare-const tptp.op2 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.j (-> $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.sorti2 (-> $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.unit2 $$unsorted) % 0.46/0.65 (declare-const tptp.op1 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.65 (declare-const tptp.sorti1 (-> $$unsorted Bool)) % 0.46/0.65 (declare-const tptp.unit1 $$unsorted) % 0.46/0.65 (define @t1 () (tptp.sorti1 tptp.unit1)) % 0.46/0.65 (define @t2 () (@var "V" $$unsorted)) % 0.46/0.65 (define @t3 () (tptp.sorti1 @t2)) % 0.46/0.65 (define @t4 () (@list @t2)) % 0.46/0.65 (define @t5 () (@var "U" $$unsorted)) % 0.46/0.65 (define @t6 () (tptp.op1 @t5 tptp.unit1)) % 0.46/0.65 (define @t7 () (tptp.op1 tptp.unit1 @t5)) % 0.46/0.65 (define @t8 () (and (= @t7 @t5) (= @t6 @t5))) % 0.46/0.65 (define @t9 () (tptp.sorti1 @t5)) % 0.46/0.65 (define @t10 () (=> @t9 @t8)) % 0.46/0.65 (define @t11 () (@list @t5)) % 0.46/0.65 (define @t12 () (forall @t11 @t10)) % 0.46/0.65 (define @t13 () (tptp.sorti2 tptp.unit2)) % 0.46/0.65 (define @t14 () (tptp.sorti2 @t2)) % 0.46/0.65 (define @t15 () (tptp.op2 @t5 tptp.unit2)) % 0.46/0.65 (define @t16 () (tptp.op2 tptp.unit2 @t5)) % 0.46/0.65 (define @t17 () (and (= @t16 @t5) (= @t15 @t5))) % 0.46/0.65 (define @t18 () (tptp.sorti2 @t5)) % 0.46/0.65 (define @t19 () (=> @t18 @t17)) % 0.46/0.65 (define @t20 () (forall @t11 @t19)) % 0.46/0.65 (define @t21 () (not (= @t5 tptp.unit1))) % 0.46/0.65 (define @t22 () (@var "W" $$unsorted)) % 0.46/0.65 (define @t23 () (tptp.op1 @t2 @t5)) % 0.46/0.65 (define @t24 () (and (= @t23 @t22) @t21)) % 0.46/0.65 (define @t25 () (tptp.op1 @t2 @t22)) % 0.46/0.65 (define @t26 () (not (= @t25 @t5))) % 0.46/0.65 (define @t27 () (or @t26 @t24)) % 0.46/0.65 (define @t28 () (tptp.sorti1 @t22)) % 0.46/0.65 (define @t29 () (=> @t28 @t27)) % 0.46/0.65 (define @t30 () (@list @t22)) % 0.46/0.65 (define @t31 () (forall @t30 @t29)) % 0.46/0.65 (define @t32 () (=> @t3 @t31)) % 0.46/0.65 (define @t33 () (forall @t4 @t32)) % 0.46/0.65 (define @t34 () (and @t9 @t33)) % 0.46/0.65 (define @t35 () (exists @t11 @t34)) % 0.46/0.65 (define @t36 () (not (= @t5 tptp.unit2))) % 0.46/0.65 (define @t37 () (tptp.op2 @t2 @t5)) % 0.46/0.65 (define @t38 () (and (= @t37 @t22) @t36)) % 0.46/0.65 (define @t39 () (tptp.op2 @t2 @t22)) % 0.46/0.65 (define @t40 () (not (= @t39 @t5))) % 0.46/0.65 (define @t41 () (or @t40 @t38)) % 0.46/0.65 (define @t42 () (tptp.sorti2 @t22)) % 0.46/0.65 (define @t43 () (=> @t42 @t41)) % 0.46/0.65 (define @t44 () (forall @t30 @t43)) % 0.46/0.65 (define @t45 () (=> @t14 @t44)) % 0.46/0.65 (define @t46 () (forall @t4 @t45)) % 0.46/0.65 (define @t47 () (and @t18 @t46)) % 0.46/0.65 (define @t48 () (exists @t11 @t47)) % 0.46/0.65 (define @t49 () (not @t48)) % 0.46/0.65 (define @t50 () (@var "X2" $$unsorted)) % 0.46/0.65 (define @t51 () (tptp.j (tptp.h @t50))) % 0.46/0.65 (define @t52 () (tptp.sorti1 @t50)) % 0.46/0.65 (define @t53 () (=> @t52 (= @t51 @t50))) % 0.46/0.65 (define @t54 () (@list @t50)) % 0.46/0.65 (define @t55 () (forall @t54 @t53)) % 0.46/0.65 (define @t56 () (@var "X1" $$unsorted)) % 0.46/0.65 (define @t57 () (tptp.h (tptp.j @t56))) % 0.46/0.65 (define @t58 () (tptp.sorti2 @t56)) % 0.46/0.65 (define @t59 () (=> @t58 (= @t57 @t56))) % 0.46/0.65 (define @t60 () (@list @t56)) % 0.46/0.65 (define @t61 () (forall @t60 @t59)) % 0.46/0.65 (define @t62 () (@var "Z" $$unsorted)) % 0.46/0.65 (define @t63 () (@var "Y" $$unsorted)) % 0.46/0.65 (define @t64 () (tptp.j @t63)) % 0.46/0.65 (define @t65 () (= (tptp.j (tptp.op2 @t63 @t62)) (tptp.op1 @t64 (tptp.j @t62)))) % 0.46/0.65 (define @t66 () (tptp.sorti2 @t62)) % 0.46/0.65 (define @t67 () (@list @t62)) % 0.46/0.65 (define @t68 () (forall @t67 (=> @t66 @t65))) % 0.46/0.65 (define @t69 () (tptp.sorti2 @t63)) % 0.46/0.65 (define @t70 () (=> @t69 @t68)) % 0.46/0.65 (define @t71 () (@list @t63)) % 0.46/0.65 (define @t72 () (forall @t71 @t70)) % 0.46/0.65 (define @t73 () (@var "X" $$unsorted)) % 0.46/0.65 (define @t74 () (tptp.h @t22)) % 0.46/0.65 (define @t75 () (= (tptp.h (tptp.op1 @t22 @t73)) (tptp.op2 @t74 (tptp.h @t73)))) % 0.46/0.65 (define @t76 () (tptp.sorti1 @t73)) % 0.46/0.65 (define @t77 () (@list @t73)) % 0.46/0.65 (define @t78 () (forall @t77 (=> @t76 @t75))) % 0.46/0.65 (define @t79 () (=> @t28 @t78)) % 0.46/0.65 (define @t80 () (forall @t30 @t79)) % 0.46/0.65 (define @t81 () (and @t80 @t72 @t61 @t55)) % 0.46/0.65 (define @t82 () (not @t81)) % 0.46/0.65 (define @t83 () (tptp.sorti1 (tptp.j @t2))) % 0.46/0.65 (define @t84 () (forall @t4 (=> @t14 @t83))) % 0.46/0.65 (define @t85 () (tptp.sorti2 (tptp.h @t5))) % 0.46/0.65 (define @t86 () (forall @t11 (=> @t9 @t85))) % 0.46/0.65 (define @t87 () (and @t86 @t84)) % 0.46/0.65 (define @t88 () (=> @t87 @t82)) % 0.46/0.65 (define @t89 () (not @t88)) % 0.46/0.65 (define @t90 () (= @t50 @t51)) % 0.46/0.65 (define @t91 () (= @t56 @t57)) % 0.46/0.65 (define @t92 () (@var "BOUND_VARIABLE_7764" $$unsorted)) % 0.46/0.65 (define @t93 () (= (tptp.j (tptp.op2 @t63 @t92)) (tptp.op1 @t64 (tptp.j @t92)))) % 0.46/0.65 (define @t94 () (not (tptp.sorti2 @t92))) % 0.46/0.65 (define @t95 () (not @t69)) % 0.46/0.65 (define @t96 () (or @t94 @t93)) % 0.46/0.65 (define @t97 () (or @t95 @t96)) % 0.46/0.65 (define @t98 () (forall (@list @t63 @t92) @t97)) % 0.46/0.65 (define @t99 () (@list @t92)) % 0.46/0.65 (define @t100 () (forall @t99 @t97)) % 0.46/0.65 (define @t101 () (forall @t99 @t96)) % 0.46/0.65 (define @t102 () (or @t95 @t101)) % 0.46/0.65 (define @t103 () (forall @t67 (or (not @t66) @t65))) % 0.46/0.65 (define @t104 () (@var "BOUND_VARIABLE_7741" $$unsorted)) % 0.46/0.65 (define @t105 () (= (tptp.h (tptp.op1 @t22 @t104)) (tptp.op2 @t74 (tptp.h @t104)))) % 0.46/0.65 (define @t106 () (not (tptp.sorti1 @t104))) % 0.46/0.65 (define @t107 () (not @t28)) % 0.46/0.65 (define @t108 () (or @t106 @t105)) % 0.46/0.65 (define @t109 () (or @t107 @t108)) % 0.46/0.65 (define @t110 () (forall (@list @t22 @t104) @t109)) % 0.46/0.65 (define @t111 () (@list @t104)) % 0.46/0.65 (define @t112 () (forall @t111 @t109)) % 0.46/0.65 (define @t113 () (forall @t111 @t108)) % 0.46/0.65 (define @t114 () (or @t107 @t113)) % 0.46/0.65 (define @t115 () (forall @t77 (or (not @t76) @t75))) % 0.46/0.65 (define @t116 () (@list tptp.unit2)) % 0.46/0.65 (define @t117 () (tptp.j tptp.unit2)) % 0.46/0.65 (define @t118 () (tptp.h @t117)) % 0.46/0.65 (define @t119 () (= tptp.unit2 @t118)) % 0.46/0.65 (define @t120 () (not @t13)) % 0.46/0.65 (define @t121 () (or @t120 @t119)) % 0.46/0.65 (define @t122 () (@list false false)) % 0.46/0.65 (define @t123 () (not (= tptp.unit1 @t5))) % 0.46/0.65 (define @t124 () (@var "BOUND_VARIABLE_7658" $$unsorted)) % 0.46/0.65 (define @t125 () (tptp.op1 @t2 @t124)) % 0.46/0.65 (define @t126 () (not (= @t5 @t125))) % 0.46/0.65 (define @t127 () (not (tptp.sorti1 @t124))) % 0.46/0.65 (define @t128 () (not @t3)) % 0.46/0.65 (define @t129 () (@list @t2 @t124)) % 0.46/0.65 (define @t130 () (forall @t129 (or @t128 @t127 @t126 (and (= @t23 @t124) @t123)))) % 0.46/0.65 (define @t131 () (forall @t11 (or (not @t9) (not @t130)))) % 0.46/0.65 (define @t132 () (@quantifiers_skolemize @t131 0)) % 0.46/0.65 (define @t133 () (@list @t132)) % 0.46/0.65 (define @t134 () (and @t9 @t130)) % 0.46/0.65 (define @t135 () (forall @t11 (not @t134))) % 0.46/0.65 (define @t136 () (not @t135)) % 0.46/0.65 (define @t137 () (and (= @t124 @t23) @t123)) % 0.46/0.65 (define @t138 () (or @t128 @t127 @t126 @t137)) % 0.46/0.65 (define @t139 () (or @t127 @t126 @t137)) % 0.46/0.65 (define @t140 () (or @t128 @t139)) % 0.46/0.65 (define @t141 () (forall @t129 @t140)) % 0.46/0.65 (define @t142 () (@list @t124)) % 0.46/0.65 (define @t143 () (forall @t142 @t140)) % 0.46/0.65 (define @t144 () (forall @t142 @t139)) % 0.46/0.65 (define @t145 () (@list @t22)) % 0.46/0.65 (define @t146 () (or @t128 @t144)) % 0.46/0.65 (define @t147 () (and (= @t22 @t23) @t123)) % 0.46/0.65 (define @t148 () (not (= @t5 @t25))) % 0.46/0.65 (define @t149 () (or @t107 @t148 @t147)) % 0.46/0.65 (define @t150 () (forall @t30 @t149)) % 0.46/0.65 (define @t151 () (or @t148 @t147)) % 0.46/0.65 (define @t152 () (not (= tptp.unit1 @t132))) % 0.46/0.65 (define @t153 () (tptp.op1 @t2 @t132)) % 0.46/0.65 (define @t154 () (forall @t129 (or @t128 @t127 (not (= @t125 @t132)) (and (= @t124 @t153) @t152)))) % 0.46/0.65 (define @t155 () (not @t154)) % 0.46/0.65 (define @t156 () (tptp.sorti1 @t132)) % 0.46/0.65 (define @t157 () (not @t156)) % 0.46/0.65 (define @t158 () (or @t157 @t155)) % 0.46/0.65 (define @t159 () (not @t158)) % 0.46/0.65 (define @t160 () (not @t131)) % 0.46/0.65 (define @t161 () (and (= @t153 @t124) @t152)) % 0.46/0.65 (define @t162 () (not (= @t132 @t125))) % 0.46/0.65 (define @t163 () (or @t128 @t127 @t162 @t161)) % 0.46/0.65 (define @t164 () (forall @t129 @t163)) % 0.46/0.65 (define @t165 () (not @t164)) % 0.46/0.65 (define @t166 () (or @t157 @t165)) % 0.46/0.65 (define @t167 () (not @t166)) % 0.46/0.65 (define @t168 () (@list true)) % 0.46/0.65 (define @t169 () (@list @t158)) % 0.46/0.65 (define @t170 () (tptp.h @t132)) % 0.46/0.65 (define @t171 () (tptp.j @t170)) % 0.46/0.65 (define @t172 () (= @t132 @t171)) % 0.46/0.65 (define @t173 () (or @t157 @t172)) % 0.46/0.65 (define @t174 () (and (= @t5 @t7) (= @t5 @t6))) % 0.46/0.65 (define @t175 () (tptp.sorti1 @t117)) % 0.46/0.65 (define @t176 () (or @t120 @t175)) % 0.46/0.65 (define @t177 () (tptp.op1 @t117 tptp.unit1)) % 0.46/0.65 (define @t178 () (= @t117 @t177)) % 0.46/0.65 (define @t179 () (tptp.op1 tptp.unit1 @t117)) % 0.46/0.65 (define @t180 () (= @t117 @t179)) % 0.46/0.65 (define @t181 () (and @t180 @t178)) % 0.46/0.65 (define @t182 () (not @t175)) % 0.46/0.65 (define @t183 () (or @t182 @t181)) % 0.46/0.65 (define @t184 () (not @t181)) % 0.46/0.65 (define @t185 () (@list false)) % 0.46/0.65 (define @t186 () (@list @t181)) % 0.46/0.65 (define @t187 () (and (= @t5 @t16) (= @t5 @t15))) % 0.46/0.65 (define @t188 () (tptp.h tptp.unit1)) % 0.46/0.65 (define @t189 () (@list tptp.unit1)) % 0.46/0.65 (define @t190 () (tptp.sorti2 @t188)) % 0.46/0.65 (define @t191 () (not @t1)) % 0.46/0.65 (define @t192 () (or @t191 @t190)) % 0.46/0.65 (define @t193 () (tptp.op2 @t188 tptp.unit2)) % 0.46/0.65 (define @t194 () (= @t188 @t193)) % 0.46/0.65 (define @t195 () (and (= @t188 (tptp.op2 tptp.unit2 @t188)) @t194)) % 0.46/0.65 (define @t196 () (not @t190)) % 0.46/0.65 (define @t197 () (or @t196 @t195)) % 0.46/0.65 (define @t198 () (@var "BOUND_VARIABLE_7700" $$unsorted)) % 0.46/0.65 (define @t199 () (tptp.op2 @t2 @t198)) % 0.46/0.65 (define @t200 () (not (= @t5 @t199))) % 0.46/0.65 (define @t201 () (not (tptp.sorti2 @t198))) % 0.46/0.65 (define @t202 () (not @t14)) % 0.46/0.65 (define @t203 () (@list @t2 @t198)) % 0.46/0.65 (define @t204 () (forall @t203 (or @t202 @t201 @t200 (and (= @t37 @t198) @t36)))) % 0.46/0.65 (define @t205 () (forall @t11 (or (not @t18) (not @t204)))) % 0.46/0.65 (define @t206 () (and @t18 @t204)) % 0.46/0.65 (define @t207 () (forall @t11 (not @t206))) % 0.46/0.65 (define @t208 () (not @t207)) % 0.46/0.65 (define @t209 () (and (= @t198 @t37) @t36)) % 0.46/0.65 (define @t210 () (or @t202 @t201 @t200 @t209)) % 0.46/0.65 (define @t211 () (or @t201 @t200 @t209)) % 0.46/0.65 (define @t212 () (or @t202 @t211)) % 0.46/0.65 (define @t213 () (forall @t203 @t212)) % 0.46/0.65 (define @t214 () (@list @t198)) % 0.46/0.65 (define @t215 () (forall @t214 @t212)) % 0.46/0.65 (define @t216 () (forall @t214 @t211)) % 0.46/0.65 (define @t217 () (or @t202 @t216)) % 0.46/0.65 (define @t218 () (and (= @t22 @t37) @t36)) % 0.46/0.65 (define @t219 () (not (= @t5 @t39))) % 0.46/0.65 (define @t220 () (not @t42)) % 0.46/0.65 (define @t221 () (or @t220 @t219 @t218)) % 0.46/0.65 (define @t222 () (forall @t30 @t221)) % 0.46/0.65 (define @t223 () (or @t219 @t218)) % 0.46/0.65 (define @t224 () (not (= @t170 tptp.unit2))) % 0.46/0.65 (define @t225 () (tptp.op2 @t2 @t170)) % 0.46/0.65 (define @t226 () (and (= @t225 @t198) @t224)) % 0.46/0.65 (define @t227 () (not (= @t170 @t199))) % 0.46/0.65 (define @t228 () (or @t202 @t201 @t227 @t226)) % 0.46/0.65 (define @t229 () (forall @t203 @t228)) % 0.46/0.65 (define @t230 () (not @t229)) % 0.46/0.65 (define @t231 () (tptp.sorti2 @t170)) % 0.46/0.65 (define @t232 () (not @t231)) % 0.46/0.65 (define @t233 () (or @t232 @t230)) % 0.46/0.65 (define @t234 () (= tptp.unit2 @t170)) % 0.46/0.65 (define @t235 () (not @t234)) % 0.46/0.65 (define @t236 () (forall @t203 (or @t202 @t201 (not (= @t199 @t170)) (and (= @t198 @t225) @t235)))) % 0.46/0.65 (define @t237 () (not @t236)) % 0.46/0.65 (define @t238 () (or @t232 @t237)) % 0.46/0.65 (define @t239 () (or @t157 @t231)) % 0.46/0.65 (define @t240 () (@quantifiers_skolemize @t236 0)) % 0.46/0.65 (define @t241 () (tptp.op2 @t240 @t170)) % 0.46/0.65 (define @t242 () (@quantifiers_skolemize @t236 1)) % 0.46/0.65 (define @t243 () (= @t242 @t241)) % 0.46/0.65 (define @t244 () (and @t243 @t235)) % 0.46/0.65 (define @t245 () (tptp.op2 @t240 @t242)) % 0.46/0.65 (define @t246 () (= @t170 @t245)) % 0.46/0.65 (define @t247 () (not @t246)) % 0.46/0.65 (define @t248 () (tptp.sorti2 @t242)) % 0.46/0.65 (define @t249 () (not @t248)) % 0.46/0.65 (define @t250 () (tptp.sorti2 @t240)) % 0.46/0.65 (define @t251 () (not @t250)) % 0.46/0.65 (define @t252 () (or @t251 @t249 @t247 @t244)) % 0.46/0.65 (define @t253 () (not @t252)) % 0.46/0.65 (define @t254 () (not (= @t245 @t170))) % 0.46/0.65 (define @t255 () (or @t251 @t249 @t254 @t244)) % 0.46/0.65 (define @t256 () (not @t255)) % 0.46/0.65 (define @t257 () (@list @t252)) % 0.46/0.65 (define @t258 () (tptp.op2 @t188 @t118)) % 0.46/0.65 (define @t259 () (tptp.h @t179)) % 0.46/0.65 (define @t260 () (= @t259 @t258)) % 0.46/0.65 (define @t261 () (or @t191 @t182 @t260)) % 0.46/0.65 (define @t262 () (@list false false false)) % 0.46/0.65 (define @t263 () (tptp.op1 @t117 @t132)) % 0.46/0.65 (define @t264 () (= tptp.unit1 @t263)) % 0.46/0.65 (define @t265 () (and @t264 @t152)) % 0.46/0.65 (define @t266 () (not (= @t177 @t132))) % 0.46/0.65 (define @t267 () (or @t182 @t191 @t266 @t265)) % 0.46/0.65 (define @t268 () (not (= @t132 @t177))) % 0.46/0.65 (define @t269 () (or @t182 @t191 @t268 @t265)) % 0.46/0.65 (define @t270 () (@list @t154)) % 0.46/0.65 (define @t271 () (tptp.op1 tptp.unit1 @t132)) % 0.46/0.65 (define @t272 () (= @t132 @t271)) % 0.46/0.65 (define @t273 () (and @t272 @t152)) % 0.46/0.65 (define @t274 () (not (= @t271 @t132))) % 0.46/0.65 (define @t275 () (or @t191 @t157 @t274 @t273)) % 0.46/0.65 (define @t276 () (not @t272)) % 0.46/0.65 (define @t277 () (or @t191 @t157 @t276 @t273)) % 0.46/0.65 (define @t278 () (and @t272 (= @t132 (tptp.op1 @t132 tptp.unit1)))) % 0.46/0.65 (define @t279 () (or @t157 @t278)) % 0.46/0.65 (define @t280 () (@list false false false false)) % 0.46/0.65 (define @t281 () (tptp.j @t188)) % 0.46/0.65 (define @t282 () (= tptp.unit1 @t281)) % 0.46/0.65 (define @t283 () (or @t191 @t282)) % 0.46/0.65 (define @t284 () (not @t265)) % 0.46/0.65 (define @t285 () (= @t132 @t179)) % 0.46/0.65 (define @t286 () (@list @t240)) % 0.46/0.65 (define @t287 () (tptp.j @t240)) % 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0.46/0.65 (step @p67 :rule nary_cong :premises (@p66 @p45 @p24 @p17) :args (@t81)) % 0.46/0.65 (step @p68 :rule cong :premises (@p67) :args (@t82)) % 0.46/0.65 (step @p69 :rule bool-impl-elim :args (@t14 @t83)) % 0.46/0.65 (step @p70 :rule cong :premises (@p69) :args (@t84)) % 0.46/0.65 (step @p71 :rule bool-impl-elim :args (@t9 @t85)) % 0.46/0.65 (step @p72 :rule cong :premises (@p71) :args (@t86)) % 0.46/0.65 (step @p73 :rule nary_cong :premises (@p72 @p70) :args (@t87)) % 0.46/0.65 (step @p74 :rule cong :premises (@p73 @p68) :args (@t88)) % 0.46/0.65 (step @p75 :rule cong :premises (@p74) :args (@t89)) % 0.46/0.65 (step @p76 :rule eq_resolve :premises (@p9 @p75)) % 0.46/0.65 (step @p77 :rule not_implies_elim2 :premises (@p76)) % 0.46/0.65 (step @p78 :rule not_not_elim :premises (@p77)) % 0.46/0.65 (step @p79 :rule and_elim :premises (@p78) :args (2)) % 0.46/0.65 (step @p80 :rule instantiate :premises (@p79) :args (@t116)) % 0.46/0.65 (step @p81 :rule cnf_or_pos :args (@t121)) % 0.46/0.65 (step @p82 :rule reordering :premises (@p81) :args ((or @t120 @t119 (not @t121)))) % 0.46/0.65 (step @p83 :rule chain_m_resolution :premises (@p82 @p3 @p80) :args (@t119 @t122 (@list @t13 @t121))) % 0.46/0.65 (step @p84 :rule and_elim :premises (@p78) :args (3)) % 0.46/0.65 (step @p85 :rule instantiate :premises (@p84) :args (@t133)) % 0.46/0.65 (step @p86 :rule bool-and-de-morgan :args (@t9 @t130 true)) % 0.46/0.65 (step @p87 :rule cong :premises (@p86) :args (@t135)) % 0.46/0.65 (step @p88 :rule cong :premises (@p87) :args (@t136)) % 0.46/0.65 (step @p89 :rule exists-elim :args ((= (exists @t11 @t134) @t136))) % 0.46/0.65 (step @p90 :rule trans :premises (@p89 @p88)) % 0.46/0.65 (step @p91 :rule refl :args (@t123)) % 0.46/0.65 (step @p92 :rule eq-symm :args (@t124 @t23)) % 0.46/0.65 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t137)) % 0.46/0.65 (step @p94 :rule refl :args (@t126)) % 0.46/0.65 (step @p95 :rule refl :args (@t127)) % 0.46/0.65 (step @p96 :rule 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:premises (@p79) :args (@t286)) % 0.46/0.65 (step @p418 :rule bool-double-not-elim :args (@t250)) % 0.46/0.65 (step @p419 :rule nary_cong :premises (@p317 @p418) :args ((or @t252 (not @t251)))) % 0.46/0.65 (step @p420 :rule cnf_or_neg :args (@t252 0)) % 0.46/0.65 (step @p421 :rule eq_resolve :premises (@p420 @p419)) % 0.46/0.65 (step @p422 :rule reordering :premises (@p421) :args ((or @t250 @t252))) % 0.46/0.65 (step @p423 :rule chain_m_resolution :premises (@p422 @p315) :args (@t250 @t168 @t257)) % 0.46/0.65 (step @p424 :rule cnf_or_pos :args (@t290)) % 0.46/0.65 (step @p425 :rule reordering :premises (@p424) :args ((or @t251 @t289 (not @t290)))) % 0.46/0.65 (step @p426 :rule chain_m_resolution :premises (@p425 @p423 @p417) :args (@t289 @t122 (@list @t250 @t290))) % 0.46/0.65 (step @p427 :rule symm :premises (@p426)) % 0.46/0.65 (step @p428 :rule cong :premises (@p427 @p416) :args (@t291)) % 0.46/0.65 (step @p429 :rule instantiate :premises (@p323) :args ((@list @t287 @t132))) % 0.46/0.65 (step @p430 :rule instantiate :premises (@p183) :args (@t286)) % 0.46/0.65 (step @p431 :rule cnf_or_pos :args (@t293)) % 0.46/0.65 (step @p432 :rule reordering :premises (@p431) :args ((or @t251 @t292 (not @t293)))) % 0.46/0.65 (step @p433 :rule chain_m_resolution :premises (@p432 @p423 @p430) :args (@t292 @t122 (@list @t250 @t293))) % 0.46/0.65 (step @p434 :rule cnf_or_pos :args (@t297)) % 0.46/0.65 (step @p435 :rule reordering :premises (@p434) :args ((or @t157 @t296 @t295 (not @t297)))) % 0.46/0.65 (step @p436 :rule chain_m_resolution :premises (@p435 @p167 @p433 @p429) :args (@t295 @t262 (@list @t156 @t292 @t297))) % 0.46/0.65 (step @p437 :rule refl :args (@t287)) % 0.46/0.65 (step @p438 :rule cong :premises (@p437 @p375) :args (@t298)) % 0.46/0.65 (step @p439 :rule and_elim :premises (@p78) :args (1)) % 0.46/0.65 (step @p440 :rule instantiate :premises (@p439) :args ((@list @t240 @t170))) % 0.46/0.65 (step @p441 :rule cnf_or_pos :args (@t301)) % 0.46/0.65 (step @p442 :rule reordering :premises (@p441) :args ((or @t232 @t251 @t300 (not @t301)))) % 0.46/0.65 (step @p443 :rule chain_m_resolution :premises (@p442 @p292 @p423 @p440) :args (@t300 @t262 (@list @t231 @t250 @t301))) % 0.46/0.65 (step @p444 :rule trans :premises (@p443 @p438)) % 0.46/0.65 (step @p445 :rule cong :premises (@p444) :args ((tptp.h @t299))) % 0.46/0.65 (step @p446 :rule symm :premises (@p443)) % 0.46/0.65 (step @p447 :rule symm :premises (@p438)) % 0.46/0.65 (step @p448 :rule refl :args (@t304)) % 0.46/0.65 (step @p449 :rule eq-symm :args (@t305 @t132)) % 0.46/0.65 (step @p450 :rule cong :premises (@p449) :args (@t306)) % 0.46/0.65 (step @p451 :rule refl :args (@t308)) % 0.46/0.65 (step @p452 :rule refl :args (@t296)) % 0.46/0.65 (step @p453 :rule nary_cong :premises (@p452 @p451 @p450 @p448) :args (@t309)) % 0.46/0.65 (step @p454 :rule cong :premises (@p340 @p453) :args ((=> @t154 @t309))) % 0.46/0.65 (assume-push @p540 @t154) % 0.46/0.65 (step @p456 :rule instantiate :premises (@p333) :args ((@list @t287 @t302))) % 0.46/0.65 (step-pop @p541 :rule scope :premises (@p456)) % 0.46/0.65 (step @p457 :rule process_scope :premises (@p541) :args (@t309)) % 0.46/0.65 (step @p459 :rule eq_resolve :premises (@p457 @p454)) % 0.46/0.65 (step @p460 :rule implies_elim :premises (@p459)) % 0.46/0.65 (step @p461 :rule chain_m_resolution :premises (@p460 @p333) :args (@t312 @t185 @t270)) % 0.46/0.65 (step @p462 :rule instantiate :premises (@p439) :args ((@list @t240 @t242))) % 0.46/0.65 (step @p463 :rule bool-double-not-elim :args (@t248)) % 0.46/0.65 (step @p464 :rule nary_cong :premises (@p317 @p463) :args ((or @t252 (not @t249)))) % 0.46/0.65 (step @p465 :rule cnf_or_neg :args (@t252 1)) % 0.46/0.65 (step @p466 :rule eq_resolve :premises (@p465 @p464)) % 0.46/0.65 (step @p467 :rule reordering :premises (@p466) :args ((or @t248 @t252))) % 0.46/0.65 (step @p468 :rule chain_m_resolution :premises (@p467 @p315) :args (@t248 @t168 @t257)) % 0.46/0.65 (step @p469 :rule 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:args (@t304 @t280 (@list @t292 @t307 @t310 @t312))) % 0.46/0.65 (step @p481 :rule cnf_and_pos :args (@t304 0)) % 0.46/0.65 (step @p482 :rule reordering :premises (@p481) :args ((or @t303 (not @t304)))) % 0.46/0.65 (step @p483 :rule chain_m_resolution :premises (@p482 @p480) :args (@t303 @t185 (@list @t304))) % 0.46/0.65 (step @p484 :rule trans :premises (@p483 @p447 @p446)) % 0.46/0.65 (step @p485 :rule cong :premises (@p484) :args (@t318)) % 0.46/0.65 (step @p486 :rule instantiate :premises (@p79) :args (@t316)) % 0.46/0.65 (step @p487 :rule cnf_or_pos :args (@t320)) % 0.46/0.65 (step @p488 :rule reordering :premises (@p487) :args ((or @t249 @t319 (not @t320)))) % 0.46/0.65 (step @p489 :rule chain_m_resolution :premises (@p488 @p468 @p486) :args (@t319 @t122 (@list @t248 @t320))) % 0.46/0.65 (step @p490 :rule trans :premises (@p489 @p485 @p445 @p436 @p428)) % 0.46/0.65 (step @p491 :rule cnf_or_neg :args (@t252 3)) % 0.46/0.65 (step @p492 :rule chain_m_resolution :premises (@p491 @p315) :args ((not @t244) @t168 @t257)) % 0.46/0.65 (step @p493 :rule bool-double-not-elim :args (@t234)) % 0.46/0.65 (step @p494 :rule refl :args (@t321)) % 0.46/0.65 (step @p495 :rule nary_cong :premises (@p299 @p494 @p493) :args ((or @t244 @t321 (not @t235)))) % 0.46/0.65 (step @p496 :rule cnf_and_neg :args (@t244)) % 0.46/0.65 (step @p497 :rule eq_resolve :premises (@p496 @p495)) % 0.46/0.65 (step @p498 :rule reordering :premises (@p497) :args ((or @t234 @t244 @t321))) % 0.46/0.65 (step @p499 :rule chain_m_resolution :premises (@p498 @p492 @p490) :args (@t234 (@list true false) (@list @t244 @t243))) % 0.46/0.65 (assume-push @p542 @t119) % 0.46/0.65 (assume-push @p543 @t172) % 0.46/0.65 (assume-push @p544 @t180) % 0.46/0.65 (assume-push @p545 @t194) % 0.46/0.65 (assume-push @p546 @t234) % 0.46/0.65 (assume-push @p547 @t246) % 0.46/0.65 (assume-push @p548 @t260) % 0.46/0.65 (step @p507 :rule cong :premises (@p410) :args (@t259)) % 0.46/0.65 (step @p508 :rule symm :premises (@p327)) % 0.46/0.65 (step @p509 :rule cong :premises (@p383 @p83) :args (@t193)) % 0.46/0.65 (step @p510 :rule trans :premises (@p216 @p509 @p508 @p507 @p382)) % 0.46/0.65 (step @p511 :rule cong :premises (@p510) :args (@t281)) % 0.46/0.65 (step @p512 :rule symm :premises (@p499)) % 0.46/0.65 (step @p513 :rule symm :premises (@p322)) % 0.46/0.65 (step @p514 :rule trans :premises (@p513 @p512 @p83 @p385 @p327 @p384 @p381)) % 0.46/0.65 (step @p515 :rule cong :premises (@p514) :args (@t313)) % 0.46/0.65 (step @p516 :rule trans :premises (@p170 @p472 @p515 @p511 @p193)) % 0.46/0.65 (step-pop @p549 :rule scope :premises (@p516)) % 0.46/0.65 (step-pop @p550 :rule scope :premises (@p549)) % 0.46/0.65 (step-pop @p551 :rule scope :premises (@p550)) % 0.46/0.65 (step-pop @p552 :rule scope :premises (@p551)) % 0.46/0.65 (step-pop @p553 :rule scope :premises (@p552)) % 0.46/0.65 (step-pop @p554 :rule scope :premises (@p553)) % 0.46/0.65 (step-pop @p555 :rule scope :premises (@p554)) % 0.46/0.65 (step @p517 :rule process_scope :premises (@p555) :args (@t285)) % 0.46/0.65 (step @p525 :rule implies_elim :premises (@p517)) % 0.46/0.65 (step @p526 :rule cnf_and_neg :args (@t322)) % 0.46/0.65 (step @p527 :rule resolution :premises (@p526 @p525) :args (true @t322)) % 0.46/0.65 (step @p528 :rule reordering :premises (@p527) :args ((or (not @t119) (not @t172) @t235 (not @t180) (not @t194) @t247 @t285 (not @t260)))) % 0.46/0.65 (step @p529 false :rule chain_m_resolution :premises (@p528 @p499 @p415 @p327 @p322 @p216 @p193 @p170 @p83) :args (false (@list false true false false false false false false) (@list @t234 @t285 @t260 @t246 @t194 @t180 @t172 @t119))) % 0.46/0.65 ) % 0.46/0.65 % SZS output end Proof % 0.46/0.65 % cvc5 exiting %------------------------------------------------------------------------------