%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU142+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:50:41 AM UTC 2026 % Result : Theorem 15.94s 16.14s % Output : Proof 15.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU142+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:32:20 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 15.94/16.14 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.94/16.14 --- Run --no-e-matching --full-saturate-quant at 6... % 15.94/16.14 % SZS status Theorem % 15.94/16.14 % SZS output start Proof % 15.94/16.14 ( % 15.94/16.14 (declare-sort $$unsorted 0) % 15.94/16.14 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 15.94/16.14 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.empty_set $$unsorted) % 15.94/16.14 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.94/16.14 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.94/16.14 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 15.94/16.14 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 15.94/16.14 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.94/16.14 (define @t1 () (@var "A" $$unsorted)) % 15.94/16.14 (define @t2 () (@var "B" $$unsorted)) % 15.94/16.14 (define @t3 () (not (tptp.in @t2 @t1))) % 15.94/16.14 (define @t4 () (tptp.in @t1 @t2)) % 15.94/16.14 (define @t5 () (@list @t1 @t2)) % 15.94/16.14 (define @t6 () (tptp.proper_subset @t2 @t1)) % 15.94/16.14 (define @t7 () (tptp.proper_subset @t1 @t2)) % 15.94/16.14 (define @t8 () (tptp.unordered_pair @t1 @t2)) % 15.94/16.14 (define @t9 () (tptp.set_union2 @t2 @t1)) % 15.94/16.14 (define @t10 () (tptp.set_union2 @t1 @t2)) % 15.94/16.14 (define @t11 () (tptp.set_intersection2 @t1 @t2)) % 15.94/16.14 (define @t12 () (tptp.subset @t1 @t2)) % 15.94/16.14 (define @t13 () (= @t1 @t2)) % 15.94/16.14 (define @t14 () (@var "C" $$unsorted)) % 15.94/16.14 (define @t15 () (tptp.in @t14 @t2)) % 15.94/16.14 (define @t16 () (= @t15 (= @t14 @t1))) % 15.94/16.14 (define @t17 () (@list @t14)) % 15.94/16.14 (define @t18 () (forall @t17 @t16)) % 15.94/16.14 (define @t19 () (tptp.singleton @t1)) % 15.94/16.14 (define @t20 () (= @t2 @t19)) % 15.94/16.14 (define @t21 () (= @t20 @t18)) % 15.94/16.14 (define @t22 () (forall @t5 @t21)) % 15.94/16.14 (define @t23 () (@list @t2)) % 15.94/16.14 (define @t24 () (= @t1 tptp.empty_set)) % 15.94/16.14 (define @t25 () (@list @t1)) % 15.94/16.14 (define @t26 () (forall @t25 (= @t24 (forall @t23 @t3)))) % 15.94/16.14 (define @t27 () (@var "D" $$unsorted)) % 15.94/16.14 (define @t28 () (or (= @t27 @t1) (= @t27 @t2))) % 15.94/16.14 (define @t29 () (tptp.in @t27 @t14)) % 15.94/16.14 (define @t30 () (= @t29 @t28)) % 15.94/16.14 (define @t31 () (@list @t27)) % 15.94/16.14 (define @t32 () (forall @t31 @t30)) % 15.94/16.14 (define @t33 () (= (= @t14 @t8) @t32)) % 15.94/16.14 (define @t34 () (@list @t1 @t2 @t14)) % 15.94/16.14 (define @t35 () (forall @t34 @t33)) % 15.94/16.14 (define @t36 () (tptp.in @t27 @t2)) % 15.94/16.14 (define @t37 () (tptp.in @t27 @t1)) % 15.94/16.14 (define @t38 () (tptp.in @t14 @t1)) % 15.94/16.14 (define @t39 () (forall @t31 (= @t29 (and @t37 @t36)))) % 15.94/16.14 (define @t40 () (= (= @t14 @t11) @t39)) % 15.94/16.14 (define @t41 () (forall @t34 @t40)) % 15.94/16.14 (define @t42 () (tptp.set_difference @t1 @t2)) % 15.94/16.14 (define @t43 () (tptp.disjoint @t1 @t2)) % 15.94/16.14 (define @t44 () (forall @t5 (= @t43 (= @t11 tptp.empty_set)))) % 15.94/16.14 (define @t45 () (not @t13)) % 15.94/16.14 (define @t46 () (tptp.empty @t1)) % 15.94/16.14 (define @t47 () (not @t46)) % 15.94/16.14 (define @t48 () (exists @t25 @t46)) % 15.94/16.14 (define @t49 () (tptp.set_intersection2 @t2 @t14)) % 15.94/16.14 (define @t50 () (tptp.subset @t1 @t14)) % 15.94/16.14 (define @t51 () (forall @t17 (= @t38 @t15))) % 15.94/16.14 (define @t52 () (=> @t51 @t13)) % 15.94/16.14 (define @t53 () (forall @t5 @t52)) % 15.94/16.14 (define @t54 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 15.94/16.14 (define @t55 () (and @t38 @t15)) % 15.94/16.14 (define @t56 () (exists @t17 @t55)) % 15.94/16.14 (define @t57 () (and @t56 @t43)) % 15.94/16.14 (define @t58 () (not @t57)) % 15.94/16.14 (define @t59 () (forall @t17 (not @t55))) % 15.94/16.14 (define @t60 () (not @t43)) % 15.94/16.14 (define @t61 () (and @t60 @t59)) % 15.94/16.14 (define @t62 () (not @t61)) % 15.94/16.14 (define @t63 () (and @t62 @t58)) % 15.94/16.14 (define @t64 () (forall @t5 @t63)) % 15.94/16.14 (define @t65 () (tptp.in @t14 @t11)) % 15.94/16.14 (define @t66 () (tptp.unordered_pair @t1 @t1)) % 15.94/16.14 (define @t67 () (forall @t25 (= @t66 @t19))) % 15.94/16.14 (define @t68 () (not @t67)) % 15.94/16.14 (define @t69 () (forall @t25 (=> @t46 @t24))) % 15.94/16.14 (define @t70 () (tptp.empty @t2)) % 15.94/16.14 (define @t71 () (@quantifiers_skolemize (forall @t25 (= @t19 @t66)) 0)) % 15.94/16.14 (define @t72 () (tptp.singleton @t71)) % 15.94/16.14 (define @t73 () (tptp.in @t14 @t72)) % 15.94/16.14 (define @t74 () (= @t14 @t71)) % 15.94/16.14 (define @t75 () (forall @t17 (= @t74 @t73))) % 15.94/16.14 (define @t76 () (= @t71 @t14)) % 15.94/16.14 (define @t77 () (forall @t17 (= @t73 @t76))) % 15.94/16.14 (define @t78 () (= (= @t72 @t72) @t77)) % 15.94/16.14 (define @t79 () (forall @t5 (= @t20 (forall @t17 (= @t15 (= @t1 @t14)))))) % 15.94/16.14 (define @t80 () (@list false)) % 15.94/16.14 (define @t81 () (@list @t79)) % 15.94/16.14 (define @t82 () (= @t27 @t71)) % 15.94/16.14 (define @t83 () (tptp.unordered_pair @t71 @t71)) % 15.94/16.14 (define @t84 () (tptp.in @t27 @t83)) % 15.94/16.14 (define @t85 () (forall @t31 (= @t84 @t82))) % 15.94/16.14 (define @t86 () (= @t71 @t27)) % 15.94/16.14 (define @t87 () (or @t86 @t86)) % 15.94/16.14 (define @t88 () (= @t84 @t87)) % 15.94/16.14 (define @t89 () (forall @t31 @t88)) % 15.94/16.14 (define @t90 () (= (= @t83 @t83) @t89)) % 15.94/16.14 (define @t91 () (forall @t34 (= (= @t8 @t14) (forall @t31 (= @t29 (or (= @t1 @t27) (= @t2 @t27))))))) % 15.94/16.14 (define @t92 () (@list @t91)) % 15.94/16.14 (define @t93 () (tptp.in @t14 @t83)) % 15.94/16.14 (define @t94 () (forall @t17 (= @t93 @t73))) % 15.94/16.14 (define @t95 () (@quantifiers_skolemize @t94 0)) % 15.94/16.14 (define @t96 () (tptp.in @t95 @t83)) % 15.94/16.14 (define @t97 () (= @t95 @t71)) % 15.94/16.14 (define @t98 () (= @t96 @t97)) % 15.94/16.14 (define @t99 () (@list @t95)) % 15.94/16.14 (define @t100 () (= @t71 @t95)) % 15.94/16.14 (define @t101 () (= @t96 @t100)) % 15.94/16.14 (define @t102 () (forall @t17 (= @t15 @t38))) % 15.94/16.14 (define @t103 () (forall @t17 (= @t73 @t93))) % 15.94/16.14 (define @t104 () (not @t103)) % 15.94/16.14 (define @t105 () (or @t104 (= @t83 @t72))) % 15.94/16.14 (define @t106 () (forall @t5 (or (not @t102) @t13))) % 15.94/16.14 (define @t107 () (= @t72 @t83)) % 15.94/16.14 (define @t108 () (not @t94)) % 15.94/16.14 (define @t109 () (or @t108 @t107)) % 15.94/16.14 (define @t110 () (@list true false)) % 15.94/16.14 (define @t111 () (tptp.in @t95 @t72)) % 15.94/16.14 (define @t112 () (= @t96 @t111)) % 15.94/16.14 (define @t113 () (not @t101)) % 15.94/16.14 (define @t114 () (not @t96)) % 15.94/16.14 (define @t115 () (tptp.in @t27 tptp.empty_set)) % 15.94/16.14 (define @t116 () (forall @t31 (= @t115 @t87))) % 15.94/16.14 (define @t117 () (= (= @t83 tptp.empty_set) @t116)) % 15.94/16.14 (define @t118 () (forall @t31 (= @t82 @t115))) % 15.94/16.14 (define @t119 () (= tptp.empty_set @t83)) % 15.94/16.14 (define @t120 () (= @t119 @t118)) % 15.94/16.14 (define @t121 () (not @t120)) % 15.94/16.14 (define @t122 () (not @t119)) % 15.94/16.14 (define @t123 () (tptp.in @t14 tptp.empty_set)) % 15.94/16.14 (define @t124 () (@list @t14)) % 15.94/16.14 (define @t125 () (not @t118)) % 15.94/16.14 (define @t126 () (forall @t17 (= @t123 @t74))) % 15.94/16.14 (define @t127 () (= @t123 @t76)) % 15.94/16.14 (define @t128 () (forall @t17 @t127)) % 15.94/16.14 (define @t129 () (= tptp.empty_set @t72)) % 15.94/16.14 (define @t130 () (= @t129 @t128)) % 15.94/16.14 (define @t131 () (= @t129 @t126)) % 15.94/16.14 (define @t132 () (not @t131)) % 15.94/16.14 (define @t133 () (not @t126)) % 15.94/16.14 (define @t134 () (forall @t25 @t47)) % 15.94/16.14 (define @t135 () (@quantifiers_skolemize @t134 0)) % 15.94/16.14 (define @t136 () (tptp.empty @t135)) % 15.94/16.14 (define @t137 () (not @t136)) % 15.94/16.14 (define @t138 () (or @t137 (= @t135 tptp.empty_set))) % 15.94/16.14 (define @t139 () (forall @t25 (or @t47 @t24))) % 15.94/16.14 (define @t140 () (= tptp.empty_set @t135)) % 15.94/16.14 (define @t141 () (or @t137 @t140)) % 15.94/16.14 (define @t142 () (not @t134)) % 15.94/16.14 (define @t143 () (not @t137)) % 15.94/16.14 (define @t144 () (@list true)) % 15.94/16.14 (define @t145 () (@list false false)) % 15.94/16.14 (define @t146 () (not @t129)) % 15.94/16.14 (define @t147 () (not @t140)) % 15.94/16.14 (define @t148 () (not @t107)) % 15.94/16.14 (define @t149 () (= false true)) % 15.94/16.14 (define @t150 () (and @t140 @t129 @t119 @t148)) % 15.94/16.14 (define @t151 () (@quantifiers_skolemize @t118 0)) % 15.94/16.14 (define @t152 () (= @t71 @t151)) % 15.94/16.14 (define @t153 () (tptp.in @t151 tptp.empty_set)) % 15.94/16.14 (define @t154 () (= @t153 @t152)) % 15.94/16.14 (define @t155 () (not @t154)) % 15.94/16.14 (define @t156 () (= (= @t151 @t71) @t153)) % 15.94/16.14 (define @t157 () (not @t156)) % 15.94/16.14 (define @t158 () (@list @t118)) % 15.94/16.14 (define @t159 () (@var "BOUND_VARIABLE_7819" $$unsorted)) % 15.94/16.14 (define @t160 () (@var "BOUND_VARIABLE_7833" $$unsorted)) % 15.94/16.14 (define @t161 () (not (tptp.in @t160 @t159))) % 15.94/16.14 (define @t162 () (@var "BOUND_VARIABLE_7817" $$unsorted)) % 15.94/16.14 (define @t163 () (not (tptp.in @t160 @t162))) % 15.94/16.14 (define @t164 () (not (tptp.disjoint @t162 @t159))) % 15.94/16.14 (define @t165 () (or @t163 @t161)) % 15.94/16.14 (define @t166 () (or @t165 @t164)) % 15.94/16.14 (define @t167 () (forall (@list @t162 @t159 @t160) @t166)) % 15.94/16.14 (define @t168 () (@list @t160)) % 15.94/16.14 (define @t169 () (forall @t168 @t166)) % 15.94/16.14 (define @t170 () (@list @t162 @t159)) % 15.94/16.14 (define @t171 () (forall @t168 @t165)) % 15.94/16.14 (define @t172 () (or @t171 @t164)) % 15.94/16.14 (define @t173 () (forall @t170 (or (forall @t17 (or (not (tptp.in @t14 @t162)) (not (tptp.in @t14 @t159)))) @t164))) % 15.94/16.14 (define @t174 () (@var "BOUND_VARIABLE_7804" $$unsorted)) % 15.94/16.14 (define @t175 () (@var "BOUND_VARIABLE_7802" $$unsorted)) % 15.94/16.14 (define @t176 () (forall (@list @t175 @t174) (or (tptp.disjoint @t175 @t174) (not (forall @t17 (or (not (tptp.in @t14 @t175)) (not (tptp.in @t14 @t174)))))))) % 15.94/16.14 (define @t177 () (forall @t17 (or (not @t38) (not @t15)))) % 15.94/16.14 (define @t178 () (or @t177 @t60)) % 15.94/16.14 (define @t179 () (forall @t5 @t178)) % 15.94/16.14 (define @t180 () (@list @t1 @t2)) % 15.94/16.14 (define @t181 () (not @t177)) % 15.94/16.14 (define @t182 () (or @t43 @t181)) % 15.94/16.14 (define @t183 () (forall @t5 @t182)) % 15.94/16.14 (define @t184 () (and @t183 @t179)) % 15.94/16.14 (define @t185 () (and (not (and @t60 @t177)) (not (and @t181 @t43)))) % 15.94/16.14 (define @t186 () (not @t59)) % 15.94/16.14 (define @t187 () (tptp.disjoint tptp.empty_set tptp.empty_set)) % 15.94/16.14 (define @t188 () (tptp.set_intersection2 tptp.empty_set tptp.empty_set)) % 15.94/16.14 (define @t189 () (= @t188 tptp.empty_set)) % 15.94/16.14 (define @t190 () (= @t187 @t189)) % 15.94/16.14 (define @t191 () (= tptp.empty_set @t188)) % 15.94/16.14 (define @t192 () (= @t191 @t187)) % 15.94/16.14 (define @t193 () (= @t11 @t14)) % 15.94/16.14 (define @t194 () (and @t115 @t115)) % 15.94/16.14 (define @t195 () (= @t115 @t194)) % 15.94/16.14 (define @t196 () (forall @t31 @t195)) % 15.94/16.14 (define @t197 () (= @t196 @t189)) % 15.94/16.14 (define @t198 () (forall @t34 (= @t39 @t193))) % 15.94/16.14 (define @t199 () (not @t153)) % 15.94/16.14 (define @t200 () (not @t187)) % 15.94/16.14 (define @t201 () (or @t200 @t199 @t199)) % 15.94/16.14 (define @t202 () (@list true true)) % 15.94/16.14 (define @t203 () (forall @t23 (not (tptp.in @t2 @t72)))) % 15.94/16.14 (define @t204 () (= (= @t72 tptp.empty_set) @t203)) % 15.94/16.14 (define @t205 () (= @t129 @t203)) % 15.94/16.14 (define @t206 () (not @t203)) % 15.94/16.14 (define @t207 () (@quantifiers_skolemize @t203 0)) % 15.94/16.14 (define @t208 () (tptp.in @t207 @t72)) % 15.94/16.14 (define @t209 () (not @t208)) % 15.94/16.14 (define @t210 () (not @t209)) % 15.94/16.14 (define @t211 () (= @t207 @t71)) % 15.94/16.14 (define @t212 () (= @t211 @t208)) % 15.94/16.14 (define @t213 () (= @t71 @t207)) % 15.94/16.14 (define @t214 () (= @t208 @t213)) % 15.94/16.14 (define @t215 () (not @t100)) % 15.94/16.14 (define @t216 () (not @t213)) % 15.94/16.14 (define @t217 () (not @t152)) % 15.94/16.14 (define @t218 () (not @t111)) % 15.94/16.14 (define @t219 () (and @t208 @t213 @t152 @t100 @t218)) % 15.94/16.14 (define @t220 () (= @t111 @t100)) % 15.94/16.14 (define @t221 () (not @t220)) % 15.94/16.14 (define @t222 () (= @t97 @t111)) % 15.94/16.14 (assume @p1 (forall @t5 (=> @t4 @t3))) % 15.94/16.14 (assume @p2 (forall @t5 (=> @t7 (not @t6)))) % 15.94/16.14 (assume @p3 (forall @t5 (= @t8 (tptp.unordered_pair @t2 @t1)))) % 15.94/16.14 (assume @p4 (forall @t5 (= @t10 @t9))) % 15.94/16.14 (assume @p5 (forall @t5 (= @t11 (tptp.set_intersection2 @t2 @t1)))) % 15.94/16.14 (assume @p6 (forall @t5 (= @t13 (and @t12 (tptp.subset @t2 @t1))))) % 15.94/16.14 (assume @p7 @t22) % 15.94/16.14 (assume @p8 @t26) % 15.94/16.14 (assume @p9 @t35) % 15.94/16.14 (assume @p10 (forall @t34 (= (= @t14 @t10) (forall @t31 (= @t29 (or @t37 @t36)))))) % 15.94/16.14 (assume @p11 (forall @t5 (= @t12 (forall @t17 (=> @t38 @t15))))) % 15.94/16.14 (assume @p12 @t41) % 15.94/16.14 (assume @p13 (forall @t34 (= (= @t14 @t42) (forall @t31 (= @t29 (and @t37 (not @t36))))))) % 15.94/16.14 (assume @p14 @t44) % 15.94/16.14 (assume @p15 (forall @t5 (= @t7 (and @t12 @t45)))) % 15.94/16.14 (assume @p16 true) % 15.94/16.14 (assume @p17 (tptp.empty tptp.empty_set)) % 15.94/16.14 (assume @p18 (forall @t5 (=> @t47 (not (tptp.empty @t10))))) % 15.94/16.14 (assume @p19 (forall @t5 (=> @t47 (not (tptp.empty @t9))))) % 15.94/16.14 (assume @p20 (forall @t5 (= (tptp.set_union2 @t1 @t1) @t1))) % 15.94/16.14 (assume @p21 (forall @t5 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 15.94/16.14 (assume @p22 (forall @t5 (not (tptp.proper_subset @t1 @t1)))) % 15.94/16.14 (assume @p23 (forall @t5 (= (= @t42 tptp.empty_set) @t12))) % 15.94/16.14 (assume @p24 @t48) % 15.94/16.14 (assume @p25 (exists @t25 @t47)) % 15.94/16.14 (assume @p26 (forall @t5 (tptp.subset @t1 @t1))) % 15.94/16.14 (assume @p27 (forall @t5 (=> @t43 (tptp.disjoint @t2 @t1)))) % 15.94/16.14 (assume @p28 (forall @t5 (=> @t12 (= @t10 @t2)))) % 15.94/16.14 (assume @p29 (forall @t5 (tptp.subset @t11 @t1))) % 15.94/16.14 (assume @p30 (forall @t34 (=> (and @t12 @t50) (tptp.subset @t1 @t49)))) % 15.94/16.14 (assume @p31 (forall @t25 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 15.94/16.14 (assume @p32 (forall @t34 (=> (and @t12 (tptp.subset @t2 @t14)) @t50))) % 15.94/16.14 (assume @p33 (forall @t34 (=> @t12 (tptp.subset (tptp.set_intersection2 @t1 @t14) @t49)))) % 15.94/16.14 (assume @p34 (forall @t5 (=> @t12 (= @t11 @t1)))) % 15.94/16.14 (assume @p35 (forall @t25 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 15.94/16.14 (assume @p36 @t53) % 15.94/16.14 (assume @p37 (forall @t25 (tptp.subset tptp.empty_set @t1))) % 15.94/16.14 (assume @p38 (forall @t34 (=> @t12 (tptp.subset (tptp.set_difference @t1 @t14) (tptp.set_difference @t2 @t14))))) % 15.94/16.14 (assume @p39 (forall @t5 (tptp.subset @t42 @t1))) % 15.94/16.14 (assume @p40 (forall @t5 (= @t54 @t10))) % 15.94/16.14 (assume @p41 (forall @t25 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 15.94/16.14 (assume @p42 @t64) % 15.94/16.14 (assume @p43 (forall @t25 (=> (tptp.subset @t1 tptp.empty_set) @t24))) % 15.94/16.14 (assume @p44 (forall @t5 (= (tptp.set_difference @t10 @t2) @t42))) % 15.94/16.14 (assume @p45 (forall @t5 (=> @t12 (= @t2 @t54)))) % 15.94/16.14 (assume @p46 (forall @t5 (= (tptp.set_difference @t1 @t42) @t11))) % 15.94/16.14 (assume @p47 (forall @t25 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 15.94/16.14 (assume @p48 (forall @t5 (and (not (and @t60 (forall @t17 (not @t65)))) (not (and (exists @t17 @t65) @t43))))) % 15.94/16.14 (assume @p49 (forall @t5 (not (and @t12 @t6)))) % 15.94/16.14 (assume @p50 (forall @t34 (=> (and @t12 (tptp.disjoint @t2 @t14)) (tptp.disjoint @t1 @t14)))) % 15.94/16.14 (assume @p51 @t68) % 15.94/16.14 (assume @p52 @t69) % 15.94/16.14 (assume @p53 (forall @t5 (not (and @t4 @t70)))) % 15.94/16.14 (assume @p54 (forall @t5 (tptp.subset @t1 @t10))) % 15.94/16.14 (assume @p55 (forall @t5 (= @t43 (= @t42 @t1)))) % 15.94/16.14 (assume @p56 (forall @t5 (not (and @t46 @t45 @t70)))) % 15.94/16.14 (assume @p57 (forall @t34 (=> (and @t12 (tptp.subset @t14 @t2)) (tptp.subset (tptp.set_union2 @t1 @t14) @t2)))) % 15.94/16.14 (step @p58 :rule eq-symm :args (@t14 @t1)) % 15.94/16.14 (step @p59 :rule refl :args (@t15)) % 15.94/16.14 (step @p60 :rule cong :premises (@p59 @p58) :args (@t16)) % 15.94/16.14 (step @p61 :rule cong :premises (@p60) :args (@t18)) % 15.94/16.14 (step @p62 :rule refl :args (@t20)) % 15.94/16.14 (step @p63 :rule cong :premises (@p62 @p61) :args (@t21)) % 15.94/16.14 (step @p64 :rule cong :premises (@p63) :args (@t22)) % 15.94/16.14 (step @p65 :rule eq_resolve :premises (@p7 @p64)) % 15.94/16.14 (step @p66 :rule bool-eq-true :args (@t75)) % 15.94/16.14 (step @p67 :rule eq-symm :args (true @t75)) % 15.94/16.14 (step @p68 :rule trans :premises (@p67 @p66)) % 15.94/16.14 (step @p69 :rule refl :args (@t73)) % 15.94/16.14 (step @p70 :rule eq-symm :args (@t71 @t14)) % 15.94/16.14 (step @p71 :rule cong :premises (@p70 @p69) :args ((= @t76 @t73))) % 15.94/16.14 (step @p72 :rule eq-symm :args (@t73 @t76)) % 15.94/16.14 (step @p73 :rule trans :premises (@p72 @p71)) % 15.94/16.14 (step @p74 :rule cong :premises (@p73) :args (@t77)) % 15.94/16.14 (step @p75 :rule eq-refl :args (@t72)) % 15.94/16.14 (step @p76 :rule cong :premises (@p75 @p74) :args (@t78)) % 15.94/16.14 (step @p77 :rule trans :premises (@p76 @p68)) % 15.94/16.14 (step @p78 :rule refl :args (@t79)) % 15.94/16.14 (step @p79 :rule cong :premises (@p78 @p77) :args ((=> @t79 @t78))) % 15.94/16.14 (assume-push @p518 @t79) % 15.94/16.14 (step @p81 :rule instantiate :premises (@p65) :args ((@list @t71 @t72))) % 15.94/16.14 (step-pop @p519 :rule scope :premises (@p81)) % 15.94/16.14 (step @p82 :rule process_scope :premises (@p519) :args (@t78)) % 15.94/16.14 (step @p84 :rule eq_resolve :premises (@p82 @p79)) % 15.94/16.14 (step @p85 :rule implies_elim :premises (@p84)) % 15.94/16.14 (step @p86 :rule chain_m_resolution :premises (@p85 @p65) :args (@t75 @t80 @t81)) % 15.94/16.14 (step @p87 :rule eq-symm :args (@t27 @t2)) % 15.94/16.14 (step @p88 :rule eq-symm :args (@t27 @t1)) % 15.94/16.14 (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t28)) % 15.94/16.14 (step @p90 :rule refl :args (@t29)) % 15.94/16.14 (step @p91 :rule cong :premises (@p90 @p89) :args (@t30)) % 15.94/16.14 (step @p92 :rule cong :premises (@p91) :args (@t32)) % 15.94/16.14 (step @p93 :rule eq-symm :args (@t14 @t8)) % 15.94/16.14 (step @p94 :rule cong :premises (@p93 @p92) :args (@t33)) % 15.94/16.14 (step @p95 :rule cong :premises (@p94) :args (@t35)) % 15.94/16.14 (step @p96 :rule eq_resolve :premises (@p9 @p95)) % 15.94/16.14 (step @p97 :rule bool-eq-true :args (@t85)) % 15.94/16.14 (step @p98 :rule eq-symm :args (true @t85)) % 15.94/16.14 (step @p99 :rule trans :premises (@p98 @p97)) % 15.94/16.14 (step @p100 :rule eq-symm :args (@t71 @t27)) % 15.94/16.14 (step @p101 :rule aci_norm :args ((= @t87 @t86))) % 15.94/16.14 (step @p102 :rule trans :premises (@p101 @p100)) % 15.94/16.14 (step @p103 :rule refl :args (@t84)) % 15.94/16.14 (step @p104 :rule cong :premises (@p103 @p102) :args (@t88)) % 15.94/16.14 (step @p105 :rule cong :premises (@p104) :args (@t89)) % 15.94/16.14 (step @p106 :rule eq-refl :args (@t83)) % 15.94/16.14 (step @p107 :rule cong :premises (@p106 @p105) :args (@t90)) % 15.94/16.14 (step @p108 :rule trans :premises (@p107 @p99)) % 15.94/16.14 (step @p109 :rule refl :args (@t91)) % 15.94/16.14 (step @p110 :rule cong :premises (@p109 @p108) :args ((=> @t91 @t90))) % 15.94/16.14 (assume-push @p520 @t91) % 15.94/16.14 (step @p112 :rule instantiate :premises (@p96) :args ((@list @t71 @t71 @t83))) % 15.94/16.14 (step-pop @p521 :rule scope :premises (@p112)) % 15.94/16.14 (step @p113 :rule process_scope :premises (@p521) :args (@t90)) % 15.94/16.14 (step @p115 :rule eq_resolve :premises (@p113 @p110)) % 15.94/16.14 (step @p116 :rule implies_elim :premises (@p115)) % 15.94/16.14 (step @p117 :rule chain_m_resolution :premises (@p116 @p96) :args (@t85 @t80 @t92)) % 15.94/16.14 (step @p118 :rule eq-symm :args (@t95 @t71)) % 15.94/16.14 (step @p119 :rule refl :args (@t96)) % 15.94/16.14 (step @p120 :rule cong :premises (@p119 @p118) :args (@t98)) % 15.94/16.14 (step @p121 :rule refl :args (@t85)) % 15.94/16.14 (step @p122 :rule cong :premises (@p121 @p120) :args ((=> @t85 @t98))) % 15.94/16.14 (assume-push @p522 @t85) % 15.94/16.14 (step @p124 :rule instantiate :premises (@p117) :args (@t99)) % 15.94/16.14 (step-pop @p523 :rule scope :premises (@p124)) % 15.94/16.14 (step @p125 :rule process_scope :premises (@p523) :args (@t98)) % 15.94/16.14 (step @p127 :rule eq_resolve :premises (@p125 @p122)) % 15.94/16.14 (step @p128 :rule implies_elim :premises (@p127)) % 15.94/16.14 (step @p129 :rule chain_m_resolution :premises (@p128 @p117) :args (@t101 @t80 (@list @t85))) % 15.94/16.14 (step @p130 :rule bool-impl-elim :args (@t102 @t13)) % 15.94/16.14 (step @p131 :rule cong :premises (@p130) :args ((forall @t5 (=> @t102 @t13)))) % 15.94/16.14 (step @p132 :rule refl :args (@t13)) % 15.94/16.14 (step @p133 :rule eq-symm :args (@t38 @t15)) % 15.94/16.14 (step @p134 :rule cong :premises (@p133) :args (@t51)) % 15.94/16.14 (step @p135 :rule cong :premises (@p134 @p132) :args (@t52)) % 15.94/16.14 (step @p136 :rule cong :premises (@p135) :args (@t53)) % 15.94/16.14 (step @p137 :rule trans :premises (@p136 @p131)) % 15.94/16.14 (step @p138 :rule eq_resolve :premises (@p36 @p137)) % 15.94/16.14 (step @p139 :rule eq-symm :args (@t83 @t72)) % 15.94/16.14 (step @p140 :rule eq-symm :args (@t73 @t93)) % 15.94/16.14 (step @p141 :rule cong :premises (@p140) :args (@t103)) % 15.94/16.14 (step @p142 :rule cong :premises (@p141) :args (@t104)) % 15.94/16.14 (step @p143 :rule nary_cong :premises (@p142 @p139) :args (@t105)) % 15.94/16.14 (step @p144 :rule refl :args (@t106)) % 15.94/16.14 (step @p145 :rule cong :premises (@p144 @p143) :args ((=> @t106 @t105))) % 15.94/16.14 (assume-push @p524 @t106) % 15.94/16.14 (step @p147 :rule instantiate :premises (@p138) :args ((@list @t83 @t72))) % 15.94/16.14 (step-pop @p525 :rule scope :premises (@p147)) % 15.94/16.14 (step @p148 :rule process_scope :premises (@p525) :args (@t105)) % 15.94/16.14 (step @p150 :rule eq_resolve :premises (@p148 @p145)) % 15.94/16.14 (step @p151 :rule implies_elim :premises (@p150)) % 15.94/16.14 (step @p152 :rule chain_m_resolution :premises (@p151 @p138) :args (@t109 @t80 (@list @t106))) % 15.94/16.14 (step @p153 :rule eq-symm :args (@t66 @t19)) % 15.94/16.14 (step @p154 :rule cong :premises (@p153) :args (@t67)) % 15.94/16.14 (step @p155 :rule cong :premises (@p154) :args (@t68)) % 15.94/16.14 (step @p156 :rule eq_resolve :premises (@p51 @p155)) % 15.94/16.14 (step @p157 :rule skolemize :premises (@p156)) % 15.94/16.14 (step @p158 :rule cnf_or_pos :args (@t109)) % 15.94/16.14 (step @p159 :rule reordering :premises (@p158) :args ((or @t107 @t108 (not @t109)))) % 15.94/16.14 (step @p160 :rule chain_m_resolution :premises (@p159 @p157 @p152) :args (@t108 @t110 (@list @t107 @t109))) % 15.94/16.14 (step @p161 :rule skolemize :premises (@p160)) % 15.94/16.14 (step @p162 :rule cnf_equiv_neg2 :args (@t112)) % 15.94/16.14 (step @p163 :rule cnf_equiv_pos1 :args (@t101)) % 15.94/16.14 (step @p164 :rule reordering :premises (@p163) :args ((or @t114 @t100 @t113))) % 15.94/16.14 (step @p165 :rule refl :args (@t115)) % 15.94/16.14 (step @p166 :rule cong :premises (@p102 @p165) :args ((= @t87 @t115))) % 15.94/16.14 (step @p167 :rule eq-symm :args (@t115 @t87)) % 15.94/16.14 (step @p168 :rule trans :premises (@p167 @p166)) % 15.94/16.14 (step @p169 :rule cong :premises (@p168) :args (@t116)) % 15.94/16.14 (step @p170 :rule eq-symm :args (@t83 tptp.empty_set)) % 15.94/16.14 (step @p171 :rule cong :premises (@p170 @p169) :args (@t117)) % 15.94/16.14 (step @p172 :rule cong :premises (@p109 @p171) :args ((=> @t91 @t117))) % 15.94/16.14 (assume-push @p526 @t91) % 15.94/16.14 (step @p174 :rule instantiate :premises (@p96) :args ((@list @t71 @t71 tptp.empty_set))) % 15.94/16.14 (step-pop @p527 :rule scope :premises (@p174)) % 15.94/16.14 (step @p175 :rule process_scope :premises (@p527) :args (@t117)) % 15.94/16.14 (step @p177 :rule eq_resolve :premises (@p175 @p172)) % 15.94/16.14 (step @p178 :rule implies_elim :premises (@p177)) % 15.94/16.14 (step @p179 :rule chain_m_resolution :premises (@p178 @p96) :args (@t120 @t80 @t92)) % 15.94/16.14 (step @p180 :rule cnf_equiv_pos1 :args (@t120)) % 15.94/16.14 (step @p181 :rule reordering :premises (@p180) :args ((or @t118 @t122 @t121))) % 15.94/16.14 (step @p182 :rule eq-symm :args (@t74 @t123)) % 15.94/16.14 (step @p183 :rule cong :premises (@p182) :args ((forall @t17 (= @t74 @t123)))) % 15.94/16.14 (step @p184 :rule alpha_equiv :args (@t118 (@list @t27) @t124)) % 15.94/16.14 (step @p185 :rule trans :premises (@p184 @p183)) % 15.94/16.14 (step @p186 :rule equiv_elim1 :premises (@p185)) % 15.94/16.14 (step @p187 :rule reordering :premises (@p186) :args ((or @t126 @t125))) % 15.94/16.14 (step @p188 :rule refl :args (@t123)) % 15.94/16.14 (step @p189 :rule cong :premises (@p188 @p70) :args (@t127)) % 15.94/16.14 (step @p190 :rule cong :premises (@p189) :args (@t128)) % 15.94/16.14 (step @p191 :rule refl :args (@t129)) % 15.94/16.14 (step @p192 :rule cong :premises (@p191 @p190) :args (@t130)) % 15.94/16.14 (step @p193 :rule cong :premises (@p78 @p192) :args ((=> @t79 @t130))) % 15.94/16.14 (assume-push @p528 @t79) % 15.94/16.14 (step @p195 :rule instantiate :premises (@p65) :args ((@list @t71 tptp.empty_set))) % 15.94/16.14 (step-pop @p529 :rule scope :premises (@p195)) % 15.94/16.14 (step @p196 :rule process_scope :premises (@p529) :args (@t130)) % 15.94/16.14 (step @p198 :rule eq_resolve :premises (@p196 @p193)) % 15.94/16.14 (step @p199 :rule implies_elim :premises (@p198)) % 15.94/16.14 (step @p200 :rule chain_m_resolution :premises (@p199 @p65) :args (@t131 @t80 @t81)) % 15.94/16.14 (step @p201 :rule cnf_equiv_pos2 :args (@t131)) % 15.94/16.14 (step @p202 :rule reordering :premises (@p201) :args ((or @t129 @t133 @t132))) % 15.94/16.14 (step @p203 :rule bool-impl-elim :args (@t46 @t24)) % 15.94/16.14 (step @p204 :rule cong :premises (@p203) :args (@t69)) % 15.94/16.14 (step @p205 :rule eq_resolve :premises (@p52 @p204)) % 15.94/16.14 (step @p206 :rule eq-symm :args (@t135 tptp.empty_set)) % 15.94/16.14 (step @p207 :rule refl :args (@t137)) % 15.94/16.14 (step @p208 :rule nary_cong :premises (@p207 @p206) :args (@t138)) % 15.94/16.14 (step @p209 :rule refl :args (@t139)) % 15.94/16.14 (step @p210 :rule cong :premises (@p209 @p208) :args ((=> @t139 @t138))) % 15.94/16.14 (assume-push @p530 @t139) % 15.94/16.14 (step @p212 :rule instantiate :premises (@p205) :args ((@list @t135))) % 15.94/16.14 (step-pop @p531 :rule scope :premises (@p212)) % 15.94/16.14 (step @p213 :rule process_scope :premises (@p531) :args (@t138)) % 15.94/16.14 (step @p215 :rule eq_resolve :premises (@p213 @p210)) % 15.94/16.14 (step @p216 :rule implies_elim :premises (@p215)) % 15.94/16.14 (step @p217 :rule chain_m_resolution :premises (@p216 @p205) :args (@t141 @t80 (@list @t139))) % 15.94/16.14 (step @p218 :rule exists-elim :args ((= @t48 @t142))) % 15.94/16.14 (step @p219 :rule eq_resolve :premises (@p24 @p218)) % 15.94/16.14 (step @p220 :rule refl :args (@t136)) % 15.94/16.14 (step @p221 :rule bool-double-not-elim :args (@t134)) % 15.94/16.14 (step @p222 :rule nary_cong :premises (@p221 @p220) :args ((or (not @t142) @t136))) % 15.94/16.14 (step @p223 :rule bool-double-not-elim :args (@t136)) % 15.94/16.14 (step @p224 :rule refl :args (@t142)) % 15.94/16.14 (step @p225 :rule cong :premises (@p224 @p223) :args ((=> @t142 @t143))) % 15.94/16.14 (assume-push @p532 @t142) % 15.94/16.14 (step @p227 :rule skolemize :premises (@p219)) % 15.94/16.14 (step-pop @p533 :rule scope :premises (@p227)) % 15.94/16.14 (step @p228 :rule process_scope :premises (@p533) :args (@t143)) % 15.94/16.14 (step @p230 :rule eq_resolve :premises (@p228 @p225)) % 15.94/16.14 (step @p231 :rule implies_elim :premises (@p230)) % 15.94/16.14 (step @p232 :rule eq_resolve :premises (@p231 @p222)) % 15.94/16.14 (step @p233 :rule chain_m_resolution :premises (@p232 @p219) :args (@t136 @t144 (@list @t134))) % 15.94/16.14 (step @p234 :rule cnf_or_pos :args (@t141)) % 15.94/16.14 (step @p235 :rule reordering :premises (@p234) :args ((or @t137 @t140 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15.94/16.14 (step @p252 :rule true_intro :premises (@p251)) % 15.94/16.14 (step @p253 :rule false_intro :premises (@p157)) % 15.94/16.14 (step @p254 :rule symm :premises (@p253)) % 15.94/16.14 (step @p255 :rule trans :premises (@p254 @p252)) % 15.94/16.14 (step @p256 false :rule eq_resolve :premises (@p255 @p246)) % 15.94/16.14 (step-pop @p538 :rule scope :premises (@p256)) % 15.94/16.14 (step-pop @p539 :rule scope :premises (@p538)) % 15.94/16.14 (step-pop @p540 :rule scope :premises (@p539)) % 15.94/16.14 (step-pop @p541 :rule scope :premises (@p540)) % 15.94/16.14 (step @p257 :rule process_scope :premises (@p541) :args (false)) % 15.94/16.14 (assume-push @p542 @t148) % 15.94/16.14 (assume-push @p543 @t140) % 15.94/16.14 (assume-push @p544 @t119) % 15.94/16.14 (assume-push @p545 @t129) % 15.94/16.14 (step @p266 :rule and_intro :premises (@p236 @p545 @p544 @p157)) % 15.94/16.14 (step-pop @p546 :rule scope :premises (@p266)) % 15.94/16.14 (step-pop @p547 :rule scope :premises (@p546)) 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(@p567)) % 15.94/16.14 (step-pop @p569 :rule scope :premises (@p568)) % 15.94/16.14 (step-pop @p570 :rule scope :premises (@p569)) % 15.94/16.14 (step-pop @p571 :rule scope :premises (@p570)) % 15.94/16.14 (step @p474 :rule process_scope :premises (@p571) :args (false)) % 15.94/16.14 (assume-push @p572 @t152) % 15.94/16.14 (assume-push @p573 @t208) % 15.94/16.14 (assume-push @p574 @t213) % 15.94/16.14 (assume-push @p575 @t218) % 15.94/16.14 (assume-push @p576 @t100) % 15.94/16.14 (step @p485 :rule and_intro :premises (@p573 @p574 @p572 @p576 @p575)) % 15.94/16.14 (step-pop @p577 :rule scope :premises (@p485)) % 15.94/16.14 (step-pop @p578 :rule scope :premises (@p577)) % 15.94/16.14 (step-pop @p579 :rule scope :premises (@p578)) % 15.94/16.14 (step-pop @p580 :rule scope :premises (@p579)) % 15.94/16.14 (step-pop @p581 :rule scope :premises (@p580)) % 15.94/16.14 (step @p486 :rule process_scope :premises (@p581) :args (@t219)) % 15.94/16.14 (step @p492 :rule implies_elim :premises (@p486)) % 15.94/16.14 (step @p493 :rule resolution :premises (@p492 @p474) :args (true @t219)) % 15.94/16.14 (step @p494 :rule not_and :premises (@p493)) % 15.94/16.14 (step @p495 :rule eq_resolve :premises (@p494 @p456)) % 15.94/16.14 (step @p496 :rule chain_m_resolution :premises (@p495 @p450 @p434 @p400 @p164 @p129 @p162 @p161) :args (@t114 (@list false false false false false true true) (@list @t213 @t208 @t152 @t100 @t101 @t111 @t112))) % 15.94/16.14 (step @p497 :rule cnf_equiv_pos2 :args (@t101)) % 15.94/16.14 (step @p498 :rule reordering :premises (@p497) :args ((or @t96 @t215 @t113))) % 15.94/16.14 (step @p499 :rule chain_m_resolution :premises (@p498 @p496 @p129) :args (@t215 @t110 (@list @t96 @t101))) % 15.94/16.14 (step @p500 :rule cnf_equiv_neg1 :args (@t112)) % 15.94/16.14 (step @p501 :rule reordering :premises (@p500) :args ((or @t96 @t111 @t112))) % 15.94/16.14 (step @p502 :rule chain_m_resolution :premises (@p501 @p496 @p161) :args (@t111 @t202 (@list @t96 @t112))) % 15.94/16.14 (step @p503 :rule cnf_equiv_pos1 :args (@t220)) % 15.94/16.14 (step @p504 :rule reordering :premises (@p503) :args ((or @t218 @t100 @t221))) % 15.94/16.14 (step @p505 :rule chain_m_resolution :premises (@p504 @p502 @p499) :args (@t221 (@list false true) (@list @t111 @t100))) % 15.94/16.14 (step @p506 :rule refl :args (@t111)) % 15.94/16.14 (step @p507 :rule cong :premises (@p506 @p118) :args ((= @t111 @t97))) % 15.94/16.14 (step @p508 :rule eq-symm :args (@t97 @t111)) % 15.94/16.14 (step @p509 :rule trans :premises (@p508 @p507)) % 15.94/16.14 (step @p510 :rule cong :premises (@p439 @p509) :args ((=> @t75 @t222))) % 15.94/16.14 (assume-push @p582 @t75) % 15.94/16.14 (step @p512 :rule instantiate :premises (@p86) :args (@t99)) % 15.94/16.14 (step-pop @p583 :rule scope :premises (@p512)) % 15.94/16.14 (step @p513 :rule process_scope :premises (@p583) :args (@t222)) % 15.94/16.14 (step @p515 :rule eq_resolve :premises (@p513 @p510)) % 15.94/16.14 (step @p516 :rule implies_elim :premises (@p515)) % 15.94/16.14 (step @p517 false :rule chain_m_resolution :premises (@p516 @p505 @p86) :args (false @t110 (@list @t220 @t75))) % 15.94/16.14 ) % 15.94/16.14 % SZS output end Proof % 15.94/16.14 % cvc5 exiting %------------------------------------------------------------------------------