%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU281+1 : 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 : n025.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 08:51:14 AM UTC 2026 % Result : Theorem 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU281+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n025.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:50:46 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-sort $$unsorted 0) % 0.38/0.60 (declare-const tptp.function (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.60 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.60 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.38/0.60 (define @t1 () (@var "E" $$unsorted)) % 0.38/0.60 (define @t2 () (tptp.singleton @t1)) % 0.38/0.60 (define @t3 () (@var "F" $$unsorted)) % 0.38/0.60 (define @t4 () (= @t3 @t2)) % 0.38/0.60 (define @t5 () (@var "A" $$unsorted)) % 0.38/0.60 (define @t6 () (tptp.in @t1 @t5)) % 0.38/0.60 (define @t7 () (@var "D" $$unsorted)) % 0.38/0.60 (define @t8 () (tptp.ordered_pair @t1 @t3)) % 0.38/0.60 (define @t9 () (and (= @t8 @t7) @t6 @t4)) % 0.38/0.60 (define @t10 () (@list @t1 @t3)) % 0.38/0.60 (define @t11 () (exists @t10 @t9)) % 0.38/0.60 (define @t12 () (@var "B" $$unsorted)) % 0.38/0.60 (define @t13 () (tptp.cartesian_product2 @t5 @t12)) % 0.38/0.60 (define @t14 () (tptp.in @t7 @t13)) % 0.38/0.60 (define @t15 () (and @t14 @t11)) % 0.38/0.60 (define @t16 () (@var "C" $$unsorted)) % 0.38/0.60 (define @t17 () (tptp.in @t7 @t16)) % 0.38/0.60 (define @t18 () (= @t17 @t15)) % 0.38/0.60 (define @t19 () (@list @t7)) % 0.38/0.60 (define @t20 () (forall @t19 @t18)) % 0.38/0.60 (define @t21 () (@list @t16)) % 0.38/0.60 (define @t22 () (exists @t21 @t20)) % 0.38/0.60 (define @t23 () (@list @t5 @t12)) % 0.38/0.60 (define @t24 () (forall @t23 @t22)) % 0.38/0.60 (define @t25 () (not @t24)) % 0.38/0.60 (define @t26 () (tptp.epsilon_connected @t5)) % 0.38/0.60 (define @t27 () (tptp.epsilon_transitive @t5)) % 0.38/0.60 (define @t28 () (and @t27 @t26)) % 0.38/0.60 (define @t29 () (tptp.ordinal @t5)) % 0.38/0.60 (define @t30 () (@list @t5)) % 0.38/0.60 (define @t31 () (and @t27 @t26 @t29)) % 0.38/0.60 (define @t32 () (tptp.empty @t5)) % 0.38/0.60 (define @t33 () (not @t32)) % 0.38/0.60 (define @t34 () (@var "J" $$unsorted)) % 0.38/0.60 (define @t35 () (tptp.singleton @t34)) % 0.38/0.60 (define @t36 () (@var "K" $$unsorted)) % 0.38/0.60 (define @t37 () (= @t36 @t35)) % 0.38/0.60 (define @t38 () (tptp.in @t34 @t5)) % 0.38/0.60 (define @t39 () (tptp.ordered_pair @t34 @t36)) % 0.38/0.60 (define @t40 () (and (= @t39 @t7) @t38 @t37)) % 0.38/0.60 (define @t41 () (@list @t34 @t36)) % 0.38/0.60 (define @t42 () (exists @t41 @t40)) % 0.38/0.60 (define @t43 () (= @t1 @t7)) % 0.38/0.60 (define @t44 () (tptp.in @t1 @t13)) % 0.38/0.60 (define @t45 () (and @t44 @t43 @t42)) % 0.38/0.60 (define @t46 () (@list @t1)) % 0.38/0.60 (define @t47 () (exists @t46 @t45)) % 0.38/0.60 (define @t48 () (= @t17 @t47)) % 0.38/0.60 (define @t49 () (forall @t19 @t48)) % 0.38/0.60 (define @t50 () (exists @t21 @t49)) % 0.38/0.60 (define @t51 () (= @t7 @t1)) % 0.38/0.60 (define @t52 () (@var "H" $$unsorted)) % 0.38/0.60 (define @t53 () (tptp.singleton @t52)) % 0.38/0.60 (define @t54 () (@var "I" $$unsorted)) % 0.38/0.60 (define @t55 () (= @t54 @t53)) % 0.38/0.60 (define @t56 () (tptp.in @t52 @t5)) % 0.38/0.60 (define @t57 () (tptp.ordered_pair @t52 @t54)) % 0.38/0.60 (define @t58 () (and (= @t57 @t1) @t56 @t55)) % 0.38/0.60 (define @t59 () (@list @t52 @t54)) % 0.38/0.60 (define @t60 () (exists @t59 @t58)) % 0.38/0.60 (define @t61 () (= @t16 @t1)) % 0.38/0.60 (define @t62 () (tptp.singleton @t3)) % 0.38/0.60 (define @t63 () (@var "G" $$unsorted)) % 0.38/0.60 (define @t64 () (= @t63 @t62)) % 0.38/0.60 (define @t65 () (tptp.in @t3 @t5)) % 0.38/0.60 (define @t66 () (tptp.ordered_pair @t3 @t63)) % 0.38/0.60 (define @t67 () (and (= @t66 @t7) @t65 @t64)) % 0.38/0.60 (define @t68 () (@list @t3 @t63)) % 0.38/0.60 (define @t69 () (exists @t68 @t67)) % 0.38/0.60 (define @t70 () (= @t16 @t7)) % 0.38/0.60 (define @t71 () (and @t70 @t69 @t61 @t60)) % 0.38/0.60 (define @t72 () (=> @t71 @t51)) % 0.38/0.60 (define @t73 () (@list @t16 @t7 @t1)) % 0.38/0.60 (define @t74 () (forall @t73 @t72)) % 0.38/0.60 (define @t75 () (=> @t74 @t50)) % 0.38/0.60 (define @t76 () (forall @t23 @t75)) % 0.38/0.60 (define @t77 () (not @t6)) % 0.38/0.60 (define @t78 () (not (= @t7 (tptp.ordered_pair @t1 @t2)))) % 0.38/0.60 (define @t79 () (or @t78 @t77)) % 0.38/0.60 (define @t80 () (forall @t19 (= @t17 (and @t14 (not (forall @t46 @t79)))))) % 0.38/0.60 (define @t81 () (not (forall @t21 (not @t80)))) % 0.38/0.60 (define @t82 () (not (= @t2 @t2))) % 0.38/0.60 (define @t83 () (or @t78 @t77 @t82)) % 0.38/0.60 (define @t84 () (not @t4)) % 0.38/0.60 (define @t85 () (= @t7 @t8)) % 0.38/0.60 (define @t86 () (not @t85)) % 0.38/0.60 (define @t87 () (or @t84 @t86 @t77 @t84)) % 0.38/0.60 (define @t88 () (@list @t3)) % 0.38/0.60 (define @t89 () (or @t86 @t77 @t84)) % 0.38/0.60 (define @t90 () (forall @t88 @t89)) % 0.38/0.60 (define @t91 () (forall @t46 @t90)) % 0.38/0.60 (define @t92 () (and @t85 @t6 @t4)) % 0.38/0.60 (define @t93 () (forall @t10 (not @t92))) % 0.38/0.60 (define @t94 () (not @t93)) % 0.38/0.60 (define @t95 () (not @t38)) % 0.38/0.60 (define @t96 () (not (= @t7 (tptp.ordered_pair @t34 @t35)))) % 0.38/0.60 (define @t97 () (or @t96 @t95)) % 0.38/0.60 (define @t98 () (@list @t34)) % 0.38/0.60 (define @t99 () (forall @t98 @t97)) % 0.38/0.60 (define @t100 () (not @t99)) % 0.38/0.60 (define @t101 () (and @t14 @t100)) % 0.38/0.60 (define @t102 () (and @t100 @t14)) % 0.38/0.60 (define @t103 () (= @t17 @t102)) % 0.38/0.60 (define @t104 () (forall @t19 @t103)) % 0.38/0.60 (define @t105 () (not @t104)) % 0.38/0.60 (define @t106 () (forall @t21 @t105)) % 0.38/0.60 (define @t107 () (not @t106)) % 0.38/0.60 (define @t108 () (forall @t23 @t107)) % 0.38/0.60 (define @t109 () (forall @t23 (not (forall @t21 (not (forall @t19 (= @t17 @t101))))))) % 0.38/0.60 (define @t110 () (@var "BOUND_VARIABLE_7824" $$unsorted)) % 0.38/0.60 (define @t111 () (@var "BOUND_VARIABLE_7826" $$unsorted)) % 0.38/0.60 (define @t112 () (@var "BOUND_VARIABLE_7823" $$unsorted)) % 0.38/0.60 (define @t113 () (@var "BOUND_VARIABLE_7825" $$unsorted)) % 0.38/0.60 (define @t114 () (@var "BOUND_VARIABLE_7822" $$unsorted)) % 0.38/0.60 (define @t115 () (@list @t114 @t112 @t110 @t113 @t111)) % 0.38/0.60 (define @t116 () (forall @t23 @t81)) % 0.38/0.60 (define @t117 () (@list true)) % 0.38/0.60 (define @t118 () (not @t14)) % 0.38/0.60 (define @t119 () (= @t17 (not (or @t99 @t118)))) % 0.38/0.60 (define @t120 () (not (= @t7 @t7))) % 0.38/0.60 (define @t121 () (or @t118 @t120)) % 0.38/0.60 (define @t122 () (not @t51)) % 0.38/0.60 (define @t123 () (not @t44)) % 0.38/0.60 (define @t124 () (or @t122 @t123 @t122)) % 0.38/0.60 (define @t125 () (or @t123 @t122)) % 0.38/0.60 (define @t126 () (forall @t46 @t125)) % 0.38/0.60 (define @t127 () (or @t99 @t126)) % 0.38/0.60 (define @t128 () (or @t99 @t125)) % 0.38/0.60 (define @t129 () (or @t123 @t122 @t99)) % 0.38/0.60 (define @t130 () (not @t100)) % 0.38/0.60 (define @t131 () (or @t123 @t122 @t130)) % 0.38/0.60 (define @t132 () (and @t44 @t51 @t100)) % 0.38/0.60 (define @t133 () (forall @t46 (not @t132))) % 0.38/0.60 (define @t134 () (not @t133)) % 0.38/0.60 (define @t135 () (not (= @t35 @t35))) % 0.38/0.60 (define @t136 () (or @t96 @t95 @t135)) % 0.38/0.60 (define @t137 () (not @t37)) % 0.38/0.60 (define @t138 () (= @t7 @t39)) % 0.38/0.60 (define @t139 () (not @t138)) % 0.38/0.60 (define @t140 () (or @t137 @t139 @t95 @t137)) % 0.38/0.60 (define @t141 () (@list @t36)) % 0.38/0.60 (define @t142 () (or @t139 @t95 @t137)) % 0.38/0.60 (define @t143 () (forall @t141 @t142)) % 0.38/0.60 (define @t144 () (forall @t98 @t143)) % 0.38/0.60 (define @t145 () (and @t138 @t38 @t37)) % 0.38/0.60 (define @t146 () (forall @t41 (not @t145))) % 0.38/0.60 (define @t147 () (not @t146)) % 0.38/0.60 (define @t148 () (@var "BOUND_VARIABLE_7663" $$unsorted)) % 0.38/0.60 (define @t149 () (@var "BOUND_VARIABLE_7654" $$unsorted)) % 0.38/0.60 (define @t150 () (@list @t7 @t1 @t149 @t148)) % 0.38/0.60 (define @t151 () (not (tptp.in @t148 @t5))) % 0.38/0.60 (define @t152 () (not (= @t1 (tptp.ordered_pair @t148 (tptp.singleton @t148))))) % 0.38/0.60 (define @t153 () (not (tptp.in @t149 @t5))) % 0.38/0.60 (define @t154 () (not (= @t7 (tptp.ordered_pair @t149 (tptp.singleton @t149))))) % 0.38/0.60 (define @t155 () (or @t122 @t51 @t154 @t153 @t152 @t151)) % 0.38/0.60 (define @t156 () (or @t120 @t122 @t51 @t154 @t153 @t152 @t151)) % 0.38/0.60 (define @t157 () (not @t61)) % 0.38/0.60 (define @t158 () (not @t70)) % 0.38/0.60 (define @t159 () (or @t158 @t158 @t157 @t51 @t154 @t153 @t152 @t151)) % 0.38/0.60 (define @t160 () (or @t158 @t157 @t51 @t154 @t153 @t152 @t151)) % 0.38/0.60 (define @t161 () (forall @t21 @t160)) % 0.38/0.60 (define @t162 () (forall @t150 @t161)) % 0.38/0.60 (define @t163 () (forall (@list @t7 @t1 @t149 @t148 @t16) @t160)) % 0.38/0.60 (define @t164 () (@list @t16 @t7 @t1 @t149 @t148)) % 0.38/0.60 (define @t165 () (or @t152 @t151)) % 0.38/0.60 (define @t166 () (or @t154 @t153)) % 0.38/0.60 (define @t167 () (or @t158 @t166 @t157 @t165 @t51)) % 0.38/0.60 (define @t168 () (forall @t164 @t167)) % 0.38/0.60 (define @t169 () (forall (@list @t149 @t148) @t167)) % 0.38/0.60 (define @t170 () (forall (@list @t148) @t165)) % 0.38/0.60 (define @t171 () (forall (@list @t149) @t166)) % 0.38/0.60 (define @t172 () (or @t158 @t171 @t157 @t170 @t51)) % 0.38/0.60 (define @t173 () (not @t56)) % 0.38/0.60 (define @t174 () (not (= @t1 (tptp.ordered_pair @t52 @t53)))) % 0.38/0.60 (define @t175 () (or @t174 @t173)) % 0.38/0.60 (define @t176 () (@list @t52)) % 0.38/0.60 (define @t177 () (forall @t176 @t175)) % 0.38/0.60 (define @t178 () (not @t65)) % 0.38/0.60 (define @t179 () (not (= @t7 (tptp.ordered_pair @t3 @t62)))) % 0.38/0.60 (define @t180 () (or @t179 @t178)) % 0.38/0.60 (define @t181 () (forall @t88 @t180)) % 0.38/0.60 (define @t182 () (or @t158 @t181 @t157 @t177 @t51)) % 0.38/0.60 (define @t183 () (not @t177)) % 0.38/0.60 (define @t184 () (not @t183)) % 0.38/0.60 (define @t185 () (not @t181)) % 0.38/0.60 (define @t186 () (not @t185)) % 0.38/0.60 (define @t187 () (or @t158 @t186 @t157 @t184)) % 0.38/0.60 (define @t188 () (and @t70 @t185 @t61 @t183)) % 0.38/0.60 (define @t189 () (not (= @t53 @t53))) % 0.38/0.60 (define @t190 () (or @t174 @t173 @t189)) % 0.38/0.60 (define @t191 () (not @t55)) % 0.38/0.60 (define @t192 () (= @t1 @t57)) % 0.38/0.60 (define @t193 () (not @t192)) % 0.38/0.60 (define @t194 () (or @t191 @t193 @t173 @t191)) % 0.38/0.60 (define @t195 () (@list @t54)) % 0.38/0.60 (define @t196 () (or @t193 @t173 @t191)) % 0.38/0.60 (define @t197 () (forall @t195 @t196)) % 0.38/0.60 (define @t198 () (forall @t176 @t197)) % 0.38/0.60 (define @t199 () (and @t192 @t56 @t55)) % 0.38/0.60 (define @t200 () (forall @t59 (not @t199))) % 0.38/0.60 (define @t201 () (not @t200)) % 0.38/0.60 (define @t202 () (not (= @t62 @t62))) % 0.38/0.60 (define @t203 () (or @t179 @t178 @t202)) % 0.38/0.60 (define @t204 () (not @t64)) % 0.38/0.60 (define @t205 () (= @t7 @t66)) % 0.38/0.60 (define @t206 () (not @t205)) % 0.38/0.60 (define @t207 () (or @t204 @t206 @t178 @t204)) % 0.38/0.60 (define @t208 () (@list @t63)) % 0.38/0.60 (define @t209 () (or @t206 @t178 @t204)) % 0.38/0.60 (define @t210 () (forall @t208 @t209)) % 0.38/0.60 (define @t211 () (forall @t88 @t210)) % 0.38/0.60 (define @t212 () (and @t205 @t65 @t64)) % 0.38/0.60 (define @t213 () (forall @t68 (not @t212))) % 0.38/0.60 (define @t214 () (not @t213)) % 0.38/0.60 (assume @p1 @t25) % 0.38/0.60 (assume @p2 (forall @t30 (=> @t29 @t28))) % 0.38/0.60 (assume @p3 (forall @t30 (=> @t28 @t29))) % 0.38/0.60 (assume @p4 (exists @t30 @t31)) % 0.38/0.60 (assume @p5 (exists @t30 (and @t33 @t27 @t26 @t29))) % 0.38/0.60 (assume @p6 (forall @t30 (=> @t32 (tptp.function @t5)))) % 0.38/0.60 (assume @p7 (forall @t30 (=> @t32 @t31))) % 0.38/0.60 (assume @p8 (exists @t30 @t32)) % 0.38/0.60 (assume @p9 (exists @t30 @t33)) % 0.38/0.60 (assume @p10 (forall @t23 (=> (tptp.in @t5 @t12) (not (tptp.in @t12 @t5))))) % 0.38/0.60 (assume @p11 true) % 0.38/0.60 (assume @p12 (forall @t23 (not (tptp.empty (tptp.ordered_pair @t5 @t12))))) % 0.38/0.60 (assume @p13 @t76) % 0.38/0.60 (step @p14 :rule exists-elim :args ((= (exists @t21 @t80) @t81))) % 0.38/0.60 (step @p15 :rule aci_norm :args ((= (or @t78 @t77 false) @t79))) % 0.38/0.60 (step @p16 :rule evaluate :args ((not true))) % 0.38/0.60 (step @p17 :rule eq-refl :args (@t2)) % 0.38/0.60 (step @p18 :rule cong :premises (@p17) :args (@t82)) % 0.38/0.60 (step @p19 :rule trans :premises (@p18 @p16)) % 0.38/0.60 (step @p20 :rule refl :args (@t77)) % 0.38/0.60 (step @p21 :rule refl :args (@t78)) % 0.38/0.60 (step @p22 :rule nary_cong :premises (@p21 @p20 @p19) :args (@t83)) % 0.38/0.60 (step @p23 :rule trans :premises (@p22 @p15)) % 0.38/0.60 (step @p24 :rule cong :premises (@p23) :args ((forall @t46 @t83))) % 0.38/0.60 (step @p25 :rule quant-var-elim-eq :args ((= (forall @t88 @t87) @t83))) % 0.38/0.60 (step @p26 :rule aci_norm :args ((= @t89 @t87))) % 0.38/0.60 (step @p27 :rule cong :premises (@p26) :args (@t90)) % 0.38/0.60 (step @p28 :rule trans :premises (@p27 @p25)) % 0.38/0.60 (step @p29 :rule cong :premises (@p28) :args (@t91)) % 0.38/0.60 (step @p30 :rule quant-merge-prenex :args ((= @t91 (forall @t10 @t89)))) % 0.38/0.60 (step @p31 :rule symm :premises (@p30)) % 0.38/0.60 (step @p32 :rule trans :premises (@p31 @p29)) % 0.38/0.60 (step @p33 :rule trans :premises (@p32 @p24)) % 0.38/0.60 (step @p34 :rule aci_norm :args ((= (or @t86 (or @t77 @t84)) @t89))) % 0.38/0.60 (step @p35 :rule bool-and-de-morgan :args (@t6 @t4 true)) % 0.38/0.60 (step @p36 :rule refl :args (@t86)) % 0.38/0.60 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t86 (not (and @t6 @t4))))) % 0.38/0.60 (step @p38 :rule bool-and-de-morgan :args (@t85 @t6 (and @t4))) % 0.38/0.60 (step @p39 :rule trans :premises (@p38 @p37)) % 0.38/0.60 (step @p40 :rule trans :premises (@p39 @p34)) % 0.38/0.60 (step @p41 :rule cong :premises (@p40) :args (@t93)) % 0.38/0.60 (step @p42 :rule trans :premises (@p41 @p33)) % 0.38/0.60 (step @p43 :rule cong :premises (@p42) :args (@t94)) % 0.38/0.60 (step @p44 :rule exists-elim :args ((= (exists @t10 @t92) @t94))) % 0.38/0.60 (step @p45 :rule trans :premises (@p44 @p43)) % 0.38/0.60 (step @p46 :rule refl :args (@t4)) % 0.38/0.60 (step @p47 :rule refl :args (@t6)) % 0.38/0.60 (step @p48 :rule eq-symm :args (@t8 @t7)) % 0.38/0.60 (step @p49 :rule nary_cong :premises (@p48 @p47 @p46) :args (@t9)) % 0.38/0.60 (step @p50 :rule cong :premises (@p49) :args (@t11)) % 0.38/0.60 (step @p51 :rule trans :premises (@p50 @p45)) % 0.38/0.60 (step @p52 :rule refl :args (@t14)) % 0.38/0.60 (step @p53 :rule nary_cong :premises (@p52 @p51) :args (@t15)) % 0.38/0.60 (step @p54 :rule refl :args (@t17)) % 0.38/0.60 (step @p55 :rule cong :premises (@p54 @p53) :args (@t18)) % 0.38/0.60 (step @p56 :rule cong :premises (@p55) :args (@t20)) % 0.38/0.60 (step @p57 :rule cong :premises (@p56) :args (@t22)) % 0.38/0.60 (step @p58 :rule trans :premises (@p57 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@t55 true)) % 0.38/0.60 (step @p258 :rule refl :args (@t193)) % 0.38/0.60 (step @p259 :rule nary_cong :premises (@p258 @p257) :args ((or @t193 (not (and @t56 @t55))))) % 0.38/0.60 (step @p260 :rule bool-and-de-morgan :args (@t192 @t56 (and @t55))) % 0.38/0.60 (step @p261 :rule trans :premises (@p260 @p259)) % 0.38/0.60 (step @p262 :rule trans :premises (@p261 @p256)) % 0.38/0.60 (step @p263 :rule cong :premises (@p262) :args (@t200)) % 0.38/0.60 (step @p264 :rule trans :premises (@p263 @p255)) % 0.38/0.60 (step @p265 :rule cong :premises (@p264) :args (@t201)) % 0.38/0.60 (step @p266 :rule exists-elim :args ((= (exists @t59 @t199) @t201))) % 0.38/0.60 (step @p267 :rule trans :premises (@p266 @p265)) % 0.38/0.60 (step @p268 :rule refl :args (@t55)) % 0.38/0.60 (step @p269 :rule refl :args (@t56)) % 0.38/0.60 (step @p270 :rule eq-symm :args (@t57 @t1)) % 0.38/0.60 (step @p271 :rule nary_cong :premises (@p270 @p269 @p268) :args (@t58)) % 0.38/0.60 (step @p272 :rule cong :premises (@p271) :args (@t60)) % 0.38/0.60 (step @p273 :rule trans :premises (@p272 @p267)) % 0.38/0.60 (step @p274 :rule refl :args (@t61)) % 0.38/0.60 (step @p275 :rule aci_norm :args ((= (or @t179 @t178 false) @t180))) % 0.38/0.60 (step @p276 :rule eq-refl :args (@t62)) % 0.38/0.60 (step @p277 :rule cong :premises (@p276) :args (@t202)) % 0.38/0.60 (step @p278 :rule trans :premises (@p277 @p16)) % 0.38/0.60 (step @p279 :rule refl :args (@t178)) % 0.38/0.60 (step @p280 :rule refl :args (@t179)) % 0.38/0.60 (step @p281 :rule nary_cong :premises (@p280 @p279 @p278) :args (@t203)) % 0.38/0.60 (step @p282 :rule trans :premises (@p281 @p275)) % 0.38/0.60 (step @p283 :rule cong :premises (@p282) :args ((forall @t88 @t203))) % 0.38/0.60 (step @p284 :rule quant-var-elim-eq :args ((= (forall @t208 @t207) @t203))) % 0.38/0.60 (step @p285 :rule aci_norm :args ((= @t209 @t207))) % 0.38/0.60 (step @p286 :rule cong :premises (@p285) :args (@t210)) % 0.38/0.60 (step @p287 :rule trans :premises (@p286 @p284)) % 0.38/0.60 (step @p288 :rule cong :premises (@p287) :args (@t211)) % 0.38/0.60 (step @p289 :rule quant-merge-prenex :args ((= @t211 (forall @t68 @t209)))) % 0.38/0.60 (step @p290 :rule symm :premises (@p289)) % 0.38/0.60 (step @p291 :rule trans :premises (@p290 @p288)) % 0.38/0.60 (step @p292 :rule trans :premises (@p291 @p283)) % 0.38/0.60 (step @p293 :rule aci_norm :args ((= (or @t206 (or @t178 @t204)) @t209))) % 0.38/0.60 (step @p294 :rule bool-and-de-morgan :args (@t65 @t64 true)) % 0.38/0.60 (step @p295 :rule refl :args (@t206)) % 0.38/0.60 (step @p296 :rule nary_cong :premises (@p295 @p294) :args ((or @t206 (not (and @t65 @t64))))) % 0.38/0.60 (step @p297 :rule bool-and-de-morgan :args (@t205 @t65 (and @t64))) % 0.38/0.60 (step @p298 :rule trans :premises (@p297 @p296)) % 0.38/0.60 (step @p299 :rule trans :premises (@p298 @p293)) % 0.38/0.60 (step @p300 :rule cong :premises (@p299) :args (@t213)) % 0.38/0.60 (step @p301 :rule trans :premises (@p300 @p292)) % 0.38/0.60 (step @p302 :rule cong :premises (@p301) :args (@t214)) % 0.38/0.60 (step @p303 :rule exists-elim :args ((= (exists @t68 @t212) @t214))) % 0.38/0.60 (step @p304 :rule trans :premises (@p303 @p302)) % 0.38/0.60 (step @p305 :rule refl :args (@t64)) % 0.38/0.60 (step @p306 :rule refl :args (@t65)) % 0.38/0.60 (step @p307 :rule eq-symm :args (@t66 @t7)) % 0.38/0.60 (step @p308 :rule nary_cong :premises (@p307 @p306 @p305) :args (@t67)) % 0.38/0.60 (step @p309 :rule cong :premises (@p308) :args (@t69)) % 0.38/0.60 (step @p310 :rule trans :premises (@p309 @p304)) % 0.38/0.60 (step @p311 :rule refl :args (@t70)) % 0.38/0.60 (step @p312 :rule nary_cong :premises (@p311 @p310 @p274 @p273) :args (@t71)) % 0.38/0.60 (step @p313 :rule cong :premises (@p312 @p185) :args (@t72)) % 0.38/0.60 (step @p314 :rule cong :premises (@p313) :args (@t74)) % 0.38/0.60 (step @p315 :rule trans :premises (@p314 @p237)) % 0.38/0.60 (step @p316 :rule cong :premises (@p315 @p175) :args (@t75)) % 0.38/0.60 (step @p317 :rule trans :premises (@p316 @p82)) % 0.38/0.60 (step @p318 :rule cong :premises (@p317) :args (@t76)) % 0.38/0.60 (step @p319 :rule eq_resolve :premises (@p13 @p318)) % 0.38/0.60 (step @p320 false :rule chain_m_resolution :premises (@p319 @p81) :args (false @t117 (@list @t108))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------