%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU109+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:50:35 AM UTC 2026 % Result : Theorem 37.25s 37.49s % Output : Proof 34.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU109+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n017.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:28:31 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 37.25/37.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 37.25/37.49 --- Run --no-e-matching --full-saturate-quant at 6... % 37.25/37.49 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 37.25/37.49 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 37.25/37.49 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 37.25/37.49 % SZS status Theorem % 37.25/37.49 % SZS output start Proof % 37.25/37.49 ( % 37.25/37.49 (declare-sort $$unsorted 0) % 37.25/37.49 (declare-const tptp.relation (-> $$unsorted Bool)) % 37.25/37.49 (declare-const tptp.function (-> $$unsorted Bool)) % 37.25/37.49 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 37.25/37.49 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 37.25/37.49 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 37.25/37.49 (declare-const tptp.natural (-> $$unsorted Bool)) % 37.25/37.49 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 37.25/37.49 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 37.25/37.49 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 37.25/37.49 (declare-const tptp.empty (-> $$unsorted Bool)) % 37.25/37.49 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 37.25/37.49 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 37.25/37.49 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 37.25/37.49 (declare-const tptp.empty_set $$unsorted) % 37.25/37.49 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 37.25/37.49 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 37.25/37.49 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 37.25/37.49 (declare-const tptp.finite (-> $$unsorted Bool)) % 37.25/37.49 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 37.25/37.49 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 37.25/37.49 (declare-const tptp.cap_closed (-> $$unsorted Bool)) % 37.25/37.49 (define @t1 () (@var "A" $$unsorted)) % 37.25/37.49 (define @t2 () (@var "B" $$unsorted)) % 37.25/37.49 (define @t3 () (tptp.in @t2 @t1)) % 37.25/37.49 (define @t4 () (not @t3)) % 37.25/37.49 (define @t5 () (tptp.in @t1 @t2)) % 37.25/37.49 (define @t6 () (@list @t1 @t2)) % 37.25/37.49 (define @t7 () (forall @t6 (=> @t5 @t4))) % 37.25/37.49 (define @t8 () (tptp.finite @t1)) % 37.25/37.49 (define @t9 () (tptp.empty @t1)) % 37.25/37.49 (define @t10 () (@list @t1)) % 37.25/37.49 (define @t11 () (tptp.diff_closed @t1)) % 37.25/37.49 (define @t12 () (tptp.cup_closed @t1)) % 37.25/37.49 (define @t13 () (and @t12 @t11)) % 37.25/37.49 (define @t14 () (tptp.preboolean @t1)) % 37.25/37.49 (define @t15 () (tptp.finite @t2)) % 37.25/37.49 (define @t16 () (tptp.powerset @t1)) % 37.25/37.49 (define @t17 () (tptp.element @t2 @t16)) % 37.25/37.49 (define @t18 () (@list @t2)) % 37.25/37.49 (define @t19 () (tptp.set_union2 @t2 @t1)) % 37.25/37.49 (define @t20 () (tptp.set_union2 @t1 @t2)) % 37.25/37.49 (define @t21 () (tptp.set_intersection2 @t1 @t2)) % 37.25/37.49 (define @t22 () (@var "D" $$unsorted)) % 37.25/37.49 (define @t23 () (@var "C" $$unsorted)) % 37.25/37.49 (define @t24 () (@list @t22)) % 37.25/37.49 (define @t25 () (forall @t24 (= (tptp.in @t22 @t23) (and (tptp.in @t22 @t1) (tptp.in @t22 @t2))))) % 37.25/37.49 (define @t26 () (= (= @t23 @t21) @t25)) % 37.25/37.49 (define @t27 () (@list @t1 @t2 @t23)) % 37.25/37.49 (define @t28 () (forall @t27 @t26)) % 37.25/37.49 (define @t29 () (tptp.finite @t21)) % 37.25/37.49 (define @t30 () (not (tptp.empty @t16))) % 37.25/37.49 (define @t31 () (not @t9)) % 37.25/37.49 (define @t32 () (tptp.empty @t2)) % 37.25/37.49 (define @t33 () (not @t32)) % 37.25/37.49 (define @t34 () (tptp.set_difference @t2 @t23)) % 37.25/37.49 (define @t35 () (tptp.set_union2 @t2 @t23)) % 37.25/37.49 (define @t36 () (and (tptp.in @t35 @t1) (tptp.in @t34 @t1))) % 37.25/37.49 (define @t37 () (tptp.in @t23 @t1)) % 37.25/37.49 (define @t38 () (and @t3 @t37)) % 37.25/37.49 (define @t39 () (@list @t2 @t23)) % 37.25/37.49 (define @t40 () (forall @t39 (=> @t38 @t36))) % 37.25/37.49 (define @t41 () (= @t14 @t40)) % 37.25/37.49 (define @t42 () (forall @t10 @t41)) % 37.25/37.49 (define @t43 () (tptp.in tptp.empty_set @t1)) % 37.25/37.49 (define @t44 () (and @t31 @t14)) % 37.25/37.49 (define @t45 () (forall @t10 (=> @t44 @t43))) % 37.25/37.49 (define @t46 () (tptp.element @t1 @t2)) % 37.25/37.49 (define @t47 () (and (not (tptp.empty @t21)) (tptp.preboolean @t21))) % 37.25/37.49 (define @t48 () (tptp.preboolean @t2)) % 37.25/37.49 (define @t49 () (and @t33 @t48)) % 37.25/37.49 (define @t50 () (forall @t18 (=> @t49 @t47))) % 37.25/37.49 (define @t51 () (=> @t44 @t50)) % 37.25/37.49 (define @t52 () (forall @t10 @t51)) % 37.25/37.49 (define @t53 () (not @t52)) % 37.25/37.49 (define @t54 () (tptp.element @t2 (tptp.powerset @t23))) % 37.25/37.49 (define @t55 () (= @t1 tptp.empty_set)) % 37.25/37.49 (define @t56 () (forall @t10 (=> @t9 @t55))) % 37.25/37.49 (define @t57 () (= @t21 @t23)) % 37.25/37.49 (define @t58 () (@var "BOUND_VARIABLE_7829" $$unsorted)) % 37.25/37.49 (define @t59 () (tptp.set_intersection2 @t1 @t58)) % 37.25/37.49 (define @t60 () (and (not (tptp.empty @t59)) (tptp.preboolean @t59))) % 37.25/37.49 (define @t61 () (not (tptp.preboolean @t58))) % 37.25/37.49 (define @t62 () (tptp.empty @t58)) % 37.25/37.49 (define @t63 () (not @t14)) % 37.25/37.49 (define @t64 () (or @t9 @t63 @t62 @t61 @t60)) % 37.25/37.49 (define @t65 () (@list @t1 @t58)) % 37.25/37.49 (define @t66 () (forall @t65 @t64)) % 37.25/37.49 (define @t67 () (@quantifiers_skolemize @t66 1)) % 37.25/37.49 (define @t68 () (@quantifiers_skolemize @t66 0)) % 37.25/37.49 (define @t69 () (tptp.set_intersection2 @t68 @t67)) % 37.25/37.49 (define @t70 () (tptp.in @t22 @t69)) % 37.25/37.49 (define @t71 () (and (tptp.in @t22 @t68) (tptp.in @t22 @t67))) % 37.25/37.49 (define @t72 () (forall @t24 (= @t71 @t70))) % 37.25/37.49 (define @t73 () (forall @t24 (= @t70 @t71))) % 37.25/37.49 (define @t74 () (= @t73 (= @t69 @t69))) % 37.25/37.49 (define @t75 () (forall @t27 (= @t25 @t57))) % 37.25/37.49 (define @t76 () (@list false)) % 37.25/37.49 (define @t77 () (@list @t75)) % 37.25/37.49 (define @t78 () (forall @t39 (or (not (tptp.in @t2 @t69)) (not (tptp.in @t23 @t69)) (and (tptp.in @t35 @t69) (tptp.in @t34 @t69))))) % 37.25/37.49 (define @t79 () (@quantifiers_skolemize @t78 1)) % 37.25/37.49 (define @t80 () (@quantifiers_skolemize @t78 0)) % 37.25/37.49 (define @t81 () (tptp.set_union2 @t80 @t79)) % 37.25/37.49 (define @t82 () (tptp.in @t81 @t67)) % 37.25/37.49 (define @t83 () (tptp.in @t81 @t68)) % 37.25/37.49 (define @t84 () (and @t83 @t82)) % 37.25/37.49 (define @t85 () (tptp.in @t81 @t69)) % 37.25/37.49 (define @t86 () (= @t84 @t85)) % 37.25/37.49 (define @t87 () (= @t85 @t84)) % 37.25/37.49 (define @t88 () (@list @t72)) % 37.25/37.49 (define @t89 () (not @t37)) % 37.25/37.49 (define @t90 () (@list @t67)) % 37.25/37.49 (define @t91 () (or @t62 @t61 @t60)) % 37.25/37.49 (define @t92 () (or @t9 @t63 @t91)) % 37.25/37.49 (define @t93 () (forall @t65 @t92)) % 37.25/37.49 (define @t94 () (@list @t58)) % 37.25/37.49 (define @t95 () (forall @t94 @t92)) % 37.25/37.49 (define @t96 () (forall @t94 @t91)) % 37.25/37.49 (define @t97 () (or @t9 @t63 @t96)) % 37.25/37.49 (define @t98 () (not @t48)) % 37.25/37.49 (define @t99 () (or @t32 @t98 @t47)) % 37.25/37.49 (define @t100 () (forall @t18 @t99)) % 37.25/37.49 (define @t101 () (or @t9 @t63 @t100)) % 37.25/37.49 (define @t102 () (or @t9 @t63)) % 37.25/37.49 (define @t103 () (not @t44)) % 37.25/37.49 (define @t104 () (tptp.preboolean @t67)) % 37.25/37.49 (define @t105 () (tptp.preboolean @t69)) % 37.25/37.49 (define @t106 () (tptp.empty @t69)) % 37.25/37.49 (define @t107 () (not @t106)) % 37.25/37.49 (define @t108 () (and @t107 @t105)) % 37.25/37.49 (define @t109 () (not @t104)) % 37.25/37.49 (define @t110 () (tptp.empty @t67)) % 37.25/37.49 (define @t111 () (tptp.preboolean @t68)) % 37.25/37.49 (define @t112 () (not @t111)) % 37.25/37.49 (define @t113 () (tptp.empty @t68)) % 37.25/37.49 (define @t114 () (or @t113 @t112 @t110 @t109 @t108)) % 37.25/37.49 (define @t115 () (@list true)) % 37.25/37.49 (define @t116 () (@list @t114)) % 37.25/37.49 (define @t117 () (forall @t39 (or (not (tptp.in @t2 @t67)) (not (tptp.in @t23 @t67)) (and (tptp.in @t35 @t67) (tptp.in @t34 @t67))))) % 37.25/37.49 (define @t118 () (= @t104 @t117)) % 37.25/37.49 (define @t119 () (@list false false)) % 37.25/37.49 (define @t120 () (@list @t80 @t79)) % 37.25/37.49 (define @t121 () (tptp.in @t79 @t67)) % 37.25/37.49 (define @t122 () (tptp.in @t79 @t68)) % 37.25/37.49 (define @t123 () (and @t122 @t121)) % 37.25/37.49 (define @t124 () (tptp.in @t79 @t69)) % 37.25/37.49 (define @t125 () (= @t123 @t124)) % 37.25/37.49 (define @t126 () (= @t124 @t123)) % 37.25/37.49 (define @t127 () (@list @t69)) % 37.25/37.49 (define @t128 () (= @t69 tptp.empty_set)) % 37.25/37.49 (define @t129 () (or @t107 @t128)) % 37.25/37.49 (define @t130 () (forall @t10 (or @t31 @t55))) % 37.25/37.49 (define @t131 () (= tptp.empty_set @t69)) % 37.25/37.49 (define @t132 () (or @t107 @t131)) % 37.25/37.49 (define @t133 () (forall @t24 (= (tptp.in @t22 tptp.empty_set) @t71))) % 37.25/37.49 (define @t134 () (= @t133 @t128)) % 37.25/37.49 (define @t135 () (= @t131 @t133)) % 37.25/37.49 (define @t136 () (tptp.in tptp.empty_set @t67)) % 37.25/37.49 (define @t137 () (or @t110 @t109 @t136)) % 37.25/37.49 (define @t138 () (@list true false false)) % 37.25/37.49 (define @t139 () (@list @t68)) % 37.25/37.49 (define @t140 () (tptp.in tptp.empty_set @t68)) % 37.25/37.49 (define @t141 () (or @t113 @t112 @t140)) % 37.25/37.49 (define @t142 () (and @t140 @t136)) % 37.25/37.49 (define @t143 () (tptp.in tptp.empty_set tptp.empty_set)) % 37.25/37.49 (define @t144 () (not @t143)) % 37.25/37.49 (define @t145 () (or @t144 @t144)) % 37.25/37.49 (define @t146 () (forall @t6 (or (not @t5) @t4))) % 37.25/37.49 (define @t147 () (= @t143 @t142)) % 37.25/37.49 (define @t148 () (not @t147)) % 37.25/37.49 (define @t149 () (@list true false)) % 37.25/37.49 (define @t150 () (not @t131)) % 37.25/37.49 (define @t151 () (not @t105)) % 37.25/37.49 (define @t152 () (= @t105 @t78)) % 37.25/37.49 (define @t153 () (not @t78)) % 37.25/37.49 (define @t154 () (tptp.set_difference @t80 @t79)) % 37.25/37.49 (define @t155 () (tptp.in @t154 @t69)) % 37.25/37.49 (define @t156 () (and @t85 @t155)) % 37.25/37.49 (define @t157 () (not @t124)) % 37.25/37.49 (define @t158 () (tptp.in @t80 @t69)) % 37.25/37.49 (define @t159 () (not @t158)) % 37.25/37.49 (define @t160 () (or @t159 @t157 @t156)) % 37.25/37.49 (define @t161 () (not @t160)) % 37.25/37.49 (define @t162 () (@list @t160)) % 37.25/37.49 (define @t163 () (not @t123)) % 37.25/37.49 (define @t164 () (@list @t123)) % 37.25/37.49 (define @t165 () (tptp.in @t80 @t67)) % 37.25/37.49 (define @t166 () (tptp.in @t80 @t68)) % 37.25/37.49 (define @t167 () (and @t166 @t165)) % 37.25/37.49 (define @t168 () (= @t167 @t158)) % 37.25/37.49 (define @t169 () (= @t158 @t167)) % 37.25/37.49 (define @t170 () (not @t167)) % 37.25/37.49 (define @t171 () (@list @t167)) % 37.25/37.49 (define @t172 () (tptp.in @t154 @t67)) % 37.25/37.49 (define @t173 () (and @t82 @t172)) % 37.25/37.49 (define @t174 () (not @t121)) % 37.25/37.49 (define @t175 () (not @t165)) % 37.25/37.49 (define @t176 () (or @t175 @t174 @t173)) % 37.25/37.49 (define @t177 () (@list false false false)) % 37.25/37.49 (define @t178 () (not @t173)) % 37.25/37.49 (define @t179 () (@list @t173)) % 37.25/37.49 (define @t180 () (forall @t39 (or (not (tptp.in @t2 @t68)) (not (tptp.in @t23 @t68)) (and (tptp.in @t35 @t68) (tptp.in @t34 @t68))))) % 37.25/37.49 (define @t181 () (= @t111 @t180)) % 37.25/37.49 (define @t182 () (tptp.in @t154 @t68)) % 37.25/37.49 (define @t183 () (and @t83 @t182)) % 37.25/37.49 (define @t184 () (not @t122)) % 37.25/37.49 (define @t185 () (not @t166)) % 37.25/37.49 (define @t186 () (or @t185 @t184 @t183)) % 37.25/37.49 (define @t187 () (not @t183)) % 37.25/37.49 (define @t188 () (@list @t183)) % 37.25/37.49 (define @t189 () (and @t182 @t172)) % 37.25/37.49 (define @t190 () (= @t189 @t155)) % 37.25/37.49 (define @t191 () (= @t155 @t189)) % 37.25/37.49 (assume @p1 @t7) % 37.25/37.49 (assume @p2 (forall @t10 (=> @t9 @t8))) % 37.25/37.49 (assume @p3 (forall @t10 (=> @t14 @t13))) % 37.25/37.49 (assume @p4 (forall @t10 (=> @t8 (forall @t18 (=> @t17 @t15))))) % 37.25/37.49 (assume @p5 (forall @t10 (=> @t13 @t14))) % 37.25/37.49 (assume @p6 (forall @t6 (= @t20 @t19))) % 37.25/37.49 (assume @p7 (forall @t6 (= @t21 (tptp.set_intersection2 @t2 @t1)))) % 37.25/37.49 (assume @p8 @t28) % 37.25/37.49 (assume @p9 (forall @t10 (exists @t18 (tptp.element @t2 @t1)))) % 37.25/37.49 (assume @p10 (forall @t6 (=> @t15 @t29))) % 37.25/37.49 (assume @p11 (forall @t6 (=> @t8 @t29))) % 37.25/37.49 (assume @p12 (forall @t6 (=> @t8 (tptp.finite (tptp.set_difference @t1 @t2))))) % 37.25/37.49 (assume @p13 (forall @t10 (and @t30 (tptp.cup_closed @t16) (tptp.diff_closed @t16) (tptp.preboolean @t16)))) % 37.25/37.49 (assume @p14 (forall @t10 @t30)) % 37.25/37.49 (assume @p15 (tptp.empty tptp.empty_set)) % 37.25/37.49 (assume @p16 (forall @t6 (=> @t31 (not (tptp.empty @t20))))) % 37.25/37.49 (assume @p17 (forall @t6 (=> @t31 (not (tptp.empty @t19))))) % 37.25/37.49 (assume @p18 (forall @t6 (=> (and @t8 @t15) (tptp.finite @t20)))) % 37.25/37.49 (assume @p19 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 37.25/37.49 (assume @p20 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 37.25/37.49 (assume @p21 (exists @t10 (and @t31 @t8))) % 37.25/37.49 (assume @p22 (exists @t10 (and @t31 @t12 (tptp.cap_closed @t1) @t11 @t14))) % 37.25/37.49 (assume @p23 (forall @t10 (=> @t31 (exists @t18 (and @t17 @t33))))) % 37.25/37.49 (assume @p24 (exists @t10 @t9)) % 37.25/37.49 (assume @p25 (forall @t10 (exists @t18 (and @t17 @t32 (tptp.relation @t2) (tptp.function @t2) (tptp.one_to_one @t2) (tptp.epsilon_transitive @t2) (tptp.epsilon_connected @t2) (tptp.ordinal @t2) (tptp.natural @t2) @t15)))) % 37.25/37.49 (assume @p26 (forall @t10 (exists @t18 (and @t17 @t32)))) % 37.25/37.49 (assume @p27 (exists @t10 @t31)) % 37.25/37.49 (assume @p28 (forall @t10 (=> @t31 (exists @t18 (and @t17 @t33 @t15))))) % 37.25/37.49 (assume @p29 (forall @t6 (tptp.subset @t1 @t1))) % 37.25/37.49 (assume @p30 @t42) % 37.25/37.49 (assume @p31 @t45) % 37.25/37.49 (assume @p32 (forall @t10 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 37.25/37.49 (assume @p33 (forall @t6 (=> @t5 @t46))) % 37.25/37.49 (assume @p34 @t53) % 37.25/37.49 (assume @p35 (forall @t10 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 37.25/37.49 (assume @p36 (forall @t6 (=> @t46 (or @t32 @t5)))) % 37.25/37.49 (assume @p37 (forall @t10 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 37.25/37.49 (assume @p38 (forall @t6 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 37.25/37.49 (assume @p39 (forall @t10 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 37.25/37.49 (assume @p40 (forall @t27 (=> (and @t5 @t54) (tptp.element @t1 @t23)))) % 37.25/37.49 (assume @p41 (forall @t27 (not (and @t5 @t54 (tptp.empty @t23))))) % 37.25/37.49 (assume @p42 @t56) % 37.25/37.49 (assume @p43 (forall @t6 (not (and @t5 @t32)))) % 37.25/37.49 (assume @p44 (forall @t6 (not (and @t9 (not (= @t1 @t2)) @t32)))) % 37.25/37.49 (assume @p45 true) % 37.25/37.49 (step @p46 :rule eq-symm :args (@t57 @t25)) % 37.25/37.49 (step @p47 :rule refl :args (@t25)) % 37.25/37.49 (step @p48 :rule eq-symm :args (@t23 @t21)) % 37.25/37.49 (step @p49 :rule cong :premises (@p48 @p47) :args (@t26)) % 37.25/37.49 (step @p50 :rule trans :premises (@p49 @p46)) % 37.25/37.49 (step @p51 :rule cong :premises (@p50) :args (@t28)) % 37.25/37.49 (step @p52 :rule eq_resolve :premises (@p8 @p51)) % 37.25/37.49 (step @p53 :rule bool-eq-true :args (@t72)) % 37.25/37.49 (step @p54 :rule eq-refl :args (@t69)) % 37.25/37.49 (step @p55 :rule eq-symm :args (@t70 @t71)) % 37.25/37.49 (step @p56 :rule cong :premises (@p55) :args (@t73)) % 37.25/37.49 (step @p57 :rule cong :premises (@p56 @p54) :args (@t74)) % 37.25/37.49 (step @p58 :rule trans :premises (@p57 @p53)) % 37.25/37.49 (step @p59 :rule refl :args (@t75)) % 37.25/37.49 (step @p60 :rule cong :premises (@p59 @p58) :args ((=> @t75 @t74))) % 37.25/37.49 (assume-push @p350 @t75) % 37.25/37.49 (step @p62 :rule instantiate :premises (@p52) :args ((@list @t68 @t67 @t69))) % 37.25/37.49 (step-pop @p351 :rule scope :premises (@p62)) % 37.25/37.49 (step @p63 :rule process_scope :premises (@p351) :args (@t74)) % 37.25/37.49 (step @p65 :rule eq_resolve :premises (@p63 @p60)) % 37.25/37.49 (step @p66 :rule implies_elim :premises (@p65)) % 37.25/37.49 (step @p67 :rule chain_m_resolution :premises (@p66 @p52) :args (@t72 @t76 @t77)) % 37.25/37.49 (step @p68 :rule eq-symm :args (@t84 @t85)) % 37.25/37.49 (step @p69 :rule refl :args (@t72)) % 37.25/37.49 (step @p70 :rule cong :premises (@p69 @p68) :args ((=> @t72 @t86))) % 37.25/37.49 (assume-push @p352 @t72) % 37.25/37.49 (step @p72 :rule instantiate :premises (@p67) :args ((@list @t81))) % 37.25/37.49 (step-pop @p353 :rule scope :premises (@p72)) % 37.25/37.49 (step @p73 :rule process_scope :premises (@p353) :args (@t86)) % 37.25/37.49 (step @p75 :rule eq_resolve :premises (@p73 @p70)) % 37.25/37.49 (step @p76 :rule implies_elim :premises (@p75)) % 37.25/37.49 (step @p77 :rule chain_m_resolution :premises (@p76 @p67) :args (@t87 @t76 @t88)) % 37.25/37.49 (step @p78 :rule aci_norm :args ((= (or (or @t4 @t89) @t36) (or @t4 @t89 @t36)))) % 37.25/37.49 (step @p79 :rule refl :args (@t36)) % 37.25/37.49 (step @p80 :rule bool-and-de-morgan :args (@t3 @t37 true)) % 37.25/37.49 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or (not @t38) @t36))) % 37.25/37.49 (step @p82 :rule trans :premises (@p81 @p78)) % 37.25/37.49 (step @p83 :rule bool-impl-elim :args (@t38 @t36)) % 37.25/37.49 (step @p84 :rule trans :premises (@p83 @p82)) % 37.25/37.49 (step @p85 :rule cong :premises (@p84) :args (@t40)) % 37.25/37.49 (step @p86 :rule refl :args (@t14)) % 37.25/37.49 (step @p87 :rule cong :premises (@p86 @p85) :args (@t41)) % 37.25/37.49 (step @p88 :rule cong :premises (@p87) :args (@t42)) % 37.25/37.49 (step @p89 :rule eq_resolve :premises (@p30 @p88)) % 37.25/37.49 (step @p90 :rule instantiate :premises (@p89) :args (@t90)) % 37.25/37.49 (step @p91 :rule aci_norm :args ((= @t92 @t64))) % 37.25/37.49 (step @p92 :rule cong :premises (@p91) :args (@t93)) % 37.25/37.49 (step @p93 :rule quant-merge-prenex :args ((= (forall @t10 @t95) @t93))) % 37.25/37.49 (step @p94 :rule alpha_equiv :args (@t96 (@list @t58) (@list @t2))) % 37.25/37.49 (step @p95 :rule refl :args (@t63)) % 37.25/37.49 (step @p96 :rule refl :args (@t9)) % 37.25/37.49 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94) :args (@t97)) % 37.25/37.49 (step @p98 :rule quant-miniscope-or :args ((= @t95 @t97))) % 37.25/37.49 (step @p99 :rule trans :premises (@p98 @p97)) % 37.25/37.49 (step @p100 :rule symm :premises (@p99)) % 37.25/37.49 (step @p101 :rule cong :premises (@p100) :args ((forall @t10 @t101))) % 37.25/37.49 (step @p102 :rule trans :premises (@p101 @p93)) % 37.25/37.49 (step @p103 :rule trans :premises (@p102 @p92)) % 37.25/37.49 (step @p104 :rule aci_norm :args ((= (or @t102 @t100) @t101))) % 37.25/37.49 (step @p105 :rule refl :args (@t100)) % 37.25/37.49 (step @p106 :rule bool-double-not-elim :args (@t9)) % 37.25/37.49 (step @p107 :rule nary_cong :premises (@p106 @p95) :args ((or (not @t31) @t63))) % 37.25/37.49 (step @p108 :rule bool-and-de-morgan :args (@t31 @t14 true)) % 37.25/37.49 (step @p109 :rule trans :premises (@p108 @p107)) % 37.25/37.49 (step @p110 :rule nary_cong :premises (@p109 @p105) :args ((or @t103 @t100))) % 37.25/37.49 (step @p111 :rule trans :premises (@p110 @p104)) % 37.25/37.49 (step @p112 :rule bool-impl-elim :args (@t44 @t100)) % 37.25/37.49 (step @p113 :rule trans :premises (@p112 @p111)) % 37.25/37.49 (step @p114 :rule cong :premises (@p113) :args ((forall @t10 (=> @t44 @t100)))) % 37.25/37.49 (step @p115 :rule trans :premises (@p114 @p103)) % 37.25/37.49 (step @p116 :rule aci_norm :args ((= (or (or @t32 @t98) @t47) @t99))) % 37.25/37.49 (step @p117 :rule refl :args (@t47)) % 37.25/37.49 (step @p118 :rule refl :args (@t98)) % 37.25/37.49 (step @p119 :rule bool-double-not-elim :args (@t32)) % 37.25/37.49 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or (not @t33) @t98))) % 37.25/37.49 (step @p121 :rule bool-and-de-morgan :args (@t33 @t48 true)) % 37.25/37.49 (step @p122 :rule trans :premises (@p121 @p120)) % 37.25/37.49 (step @p123 :rule nary_cong :premises (@p122 @p117) :args ((or (not @t49) @t47))) % 37.25/37.49 (step @p124 :rule trans :premises (@p123 @p116)) % 37.25/37.49 (step @p125 :rule bool-impl-elim :args (@t49 @t47)) % 37.25/37.49 (step @p126 :rule trans :premises (@p125 @p124)) % 37.25/37.49 (step @p127 :rule cong :premises (@p126) :args (@t50)) % 37.25/37.49 (step @p128 :rule refl :args (@t44)) % 37.25/37.49 (step @p129 :rule cong :premises (@p128 @p127) :args (@t51)) % 37.25/37.49 (step @p130 :rule cong :premises (@p129) :args (@t52)) % 37.25/37.49 (step @p131 :rule trans :premises (@p130 @p115)) % 37.25/37.49 (step @p132 :rule cong :premises (@p131) :args (@t53)) % 37.25/37.49 (step @p133 :rule eq_resolve :premises (@p34 @p132)) % 37.25/37.49 (step @p134 :rule skolemize :premises (@p133)) % 37.25/37.49 (step @p135 :rule bool-double-not-elim :args (@t104)) % 37.25/37.49 (step @p136 :rule refl :args (@t114)) % 37.25/37.49 (step @p137 :rule nary_cong :premises (@p136 @p135) :args ((or @t114 (not @t109)))) % 37.25/37.49 (step @p138 :rule cnf_or_neg :args (@t114 3)) % 37.25/37.49 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 37.25/37.49 (step @p140 :rule reordering :premises (@p139) :args ((or @t104 @t114))) % 37.25/37.49 (step @p141 :rule chain_m_resolution :premises (@p140 @p134) :args (@t104 @t115 @t116)) % 37.25/37.49 (step @p142 :rule cnf_equiv_pos1 :args (@t118)) % 37.25/37.49 (step @p143 :rule reordering :premises (@p142) :args ((or @t109 @t117 (not @t118)))) % 37.25/37.49 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p90) :args (@t117 @t119 (@list @t104 @t118))) % 37.25/37.49 (step @p145 :rule instantiate :premises (@p144) :args (@t120)) % 37.25/37.49 (step @p146 :rule eq-symm :args (@t123 @t124)) % 37.25/37.49 (step @p147 :rule cong :premises (@p69 @p146) :args ((=> @t72 @t125))) % 37.25/37.49 (assume-push @p354 @t72) % 37.25/37.49 (step @p149 :rule instantiate :premises (@p67) :args ((@list @t79))) % 37.25/37.49 (step-pop @p355 :rule scope :premises (@p149)) % 37.25/37.49 (step @p150 :rule process_scope :premises (@p355) :args (@t125)) % 37.25/37.49 (step @p152 :rule eq_resolve :premises (@p150 @p147)) % 37.25/37.49 (step @p153 :rule implies_elim :premises (@p152)) % 37.25/37.49 (step @p154 :rule chain_m_resolution :premises (@p153 @p67) :args (@t126 @t76 @t88)) % 37.25/37.49 (step @p155 :rule instantiate :premises (@p89) :args (@t127)) % 37.25/37.49 (step @p156 :rule cnf_or_neg :args (@t114 4)) % 37.25/37.49 (step @p157 :rule chain_m_resolution :premises (@p156 @p134) :args ((not @t108) @t115 @t116)) % 37.25/37.49 (step @p158 :rule bool-impl-elim :args (@t9 @t55)) % 37.25/37.49 (step @p159 :rule cong :premises (@p158) :args (@t56)) % 37.25/37.49 (step @p160 :rule eq_resolve :premises (@p42 @p159)) % 37.25/37.49 (step @p161 :rule eq-symm :args (@t69 tptp.empty_set)) % 37.25/37.49 (step @p162 :rule refl :args (@t107)) % 37.25/37.49 (step @p163 :rule nary_cong :premises (@p162 @p161) :args (@t129)) % 37.25/37.49 (step @p164 :rule refl :args (@t130)) % 37.25/37.49 (step @p165 :rule cong :premises (@p164 @p163) :args ((=> @t130 @t129))) % 37.25/37.49 (assume-push @p356 @t130) % 37.25/37.49 (step @p167 :rule instantiate :premises (@p160) :args (@t127)) % 37.25/37.49 (step-pop @p357 :rule scope :premises (@p167)) % 37.25/37.49 (step @p168 :rule process_scope :premises (@p357) :args (@t129)) % 37.25/37.49 (step @p170 :rule eq_resolve :premises (@p168 @p165)) % 37.25/37.49 (step @p171 :rule implies_elim :premises (@p170)) % 37.25/37.49 (step @p172 :rule chain_m_resolution :premises (@p171 @p160) :args (@t132 @t76 (@list @t130))) % 37.25/37.49 (step @p173 :rule refl :args (@t133)) % 37.25/37.49 (step @p174 :rule cong :premises (@p161 @p173) :args ((= @t128 @t133))) % 37.25/37.49 (step @p175 :rule eq-symm :args (@t133 @t128)) % 37.25/37.49 (step @p176 :rule trans :premises (@p175 @p174)) % 37.25/37.49 (step @p177 :rule cong :premises (@p59 @p176) :args ((=> @t75 @t134))) % 37.25/37.49 (assume-push @p358 @t75) % 37.25/37.49 (step @p179 :rule instantiate :premises (@p52) :args ((@list @t68 @t67 tptp.empty_set))) % 37.25/37.49 (step-pop @p359 :rule scope :premises (@p179)) % 37.25/37.49 (step @p180 :rule process_scope :premises (@p359) :args (@t134)) % 37.25/37.49 (step @p182 :rule eq_resolve :premises (@p180 @p177)) % 37.25/37.49 (step @p183 :rule implies_elim :premises (@p182)) % 37.25/37.49 (step @p184 :rule chain_m_resolution :premises (@p183 @p52) :args (@t135 @t76 @t77)) % 37.25/37.49 (step @p185 :rule aci_norm :args ((= (or @t102 @t43) (or @t9 @t63 @t43)))) % 37.25/37.49 (step @p186 :rule refl :args (@t43)) % 37.25/37.49 (step @p187 :rule nary_cong :premises (@p109 @p186) :args ((or @t103 @t43))) % 37.25/37.49 (step @p188 :rule trans :premises (@p187 @p185)) % 37.25/37.49 (step @p189 :rule bool-impl-elim :args (@t44 @t43)) % 37.25/37.49 (step @p190 :rule trans :premises (@p189 @p188)) % 37.25/37.49 (step @p191 :rule cong :premises (@p190) :args (@t45)) % 37.25/37.49 (step @p192 :rule eq_resolve :premises (@p31 @p191)) % 37.25/37.49 (step @p193 :rule instantiate :premises (@p192) :args (@t90)) % 37.25/37.49 (step @p194 :rule cnf_or_neg :args (@t114 2)) % 37.25/37.49 (step @p195 :rule chain_m_resolution :premises (@p194 @p134) :args ((not @t110) @t115 @t116)) % 37.25/37.49 (step @p196 :rule cnf_or_pos :args (@t137)) % 37.25/37.49 (step @p197 :rule reordering :premises (@p196) :args ((or @t110 @t109 @t136 (not @t137)))) % 37.25/37.49 (step @p198 :rule chain_m_resolution :premises (@p197 @p195 @p141 @p193) :args (@t136 @t138 (@list @t110 @t104 @t137))) % 37.25/37.49 (step @p199 :rule instantiate :premises (@p192) :args (@t139)) % 37.25/37.49 (step @p200 :rule bool-double-not-elim :args (@t111)) % 37.25/37.49 (step @p201 :rule nary_cong :premises (@p136 @p200) :args ((or @t114 (not @t112)))) % 37.25/37.49 (step @p202 :rule cnf_or_neg :args (@t114 1)) % 37.25/37.49 (step @p203 :rule eq_resolve :premises (@p202 @p201)) % 37.25/37.49 (step @p204 :rule reordering :premises (@p203) :args ((or @t111 @t114))) % 37.25/37.49 (step @p205 :rule chain_m_resolution :premises (@p204 @p134) :args (@t111 @t115 @t116)) % 37.25/37.49 (step @p206 :rule cnf_or_neg :args (@t114 0)) % 37.25/37.49 (step @p207 :rule chain_m_resolution :premises (@p206 @p134) :args ((not @t113) @t115 @t116)) % 37.25/37.49 (step @p208 :rule cnf_or_pos :args (@t141)) % 37.25/37.49 (step @p209 :rule reordering :premises (@p208) :args ((or @t113 @t112 @t140 (not @t141)))) % 37.25/37.49 (step @p210 :rule chain_m_resolution :premises (@p209 @p207 @p205 @p199) :args (@t140 @t138 (@list @t113 @t111 @t141))) % 37.25/37.49 (step @p211 :rule cnf_and_neg :args (@t142)) % 37.25/37.49 (step @p212 :rule reordering :premises (@p211) :args ((or (not @t140) (not @t136) @t142))) % 37.25/37.49 (step @p213 :rule chain_m_resolution :premises (@p212 @p210 @p198) :args (@t142 @t119 (@list @t140 @t136))) % 37.25/37.49 (step @p214 :rule bool-impl-elim :args (@t5 @t4)) % 37.25/37.49 (step @p215 :rule cong :premises (@p214) :args (@t7)) % 37.25/37.49 (step @p216 :rule eq_resolve :premises (@p1 @p215)) % 37.25/37.49 (step @p217 :rule aci_norm :args ((= @t145 @t144))) % 37.25/37.49 (step @p218 :rule refl :args (@t146)) % 37.25/37.49 (step @p219 :rule cong :premises (@p218 @p217) :args ((=> @t146 @t145))) % 37.25/37.49 (assume-push @p360 @t146) % 37.25/37.49 (step @p221 :rule instantiate :premises (@p216) :args ((@list tptp.empty_set tptp.empty_set))) % 37.25/37.49 (step-pop @p361 :rule scope :premises (@p221)) % 37.25/37.49 (step @p222 :rule process_scope :premises (@p361) :args (@t145)) % 37.25/37.49 (step @p224 :rule eq_resolve :premises (@p222 @p219)) % 37.25/37.49 (step @p225 :rule implies_elim :premises (@p224)) % 37.25/37.49 (step @p226 :rule chain_m_resolution :premises (@p225 @p216) :args (@t144 @t76 (@list @t146))) % 37.25/37.49 (step @p227 :rule cnf_equiv_pos2 :args (@t147)) % 37.25/37.49 (step @p228 :rule reordering :premises (@p227) :args ((or @t143 (not @t142) @t148))) % 37.25/37.49 (step @p229 :rule chain_m_resolution :premises (@p228 @p226 @p213) :args (@t148 @t149 (@list @t143 @t142))) % 37.25/37.49 (assume-push @p362 @t133) % 37.25/37.49 (step @p231 :rule instantiate :premises (@p362) :args ((@list tptp.empty_set))) % 37.25/37.49 (step-pop @p363 :rule scope :premises (@p231)) % 37.25/37.49 (step @p232 :rule process_scope :premises (@p363) :args (@t147)) % 37.25/37.49 (step @p234 :rule implies_elim :premises (@p232)) % 37.25/37.49 (step @p235 :rule chain_m_resolution :premises (@p234 @p229) :args ((not @t133) @t115 (@list @t147))) % 37.25/37.49 (step @p236 :rule cnf_equiv_pos1 :args (@t135)) % 37.25/37.49 (step @p237 :rule reordering :premises (@p236) :args ((or @t150 @t133 (not @t135)))) % 37.25/37.49 (step @p238 :rule chain_m_resolution :premises (@p237 @p235 @p184) :args (@t150 @t149 (@list @t133 @t135))) % 37.25/37.49 (step @p239 :rule cnf_or_pos :args (@t132)) % 37.25/37.49 (step @p240 :rule reordering :premises (@p239) :args ((or @t107 @t131 (not @t132)))) % 37.25/37.49 (step @p241 :rule chain_m_resolution :premises (@p240 @p238 @p172) :args (@t107 @t149 (@list @t131 @t132))) % 37.25/37.49 (step @p242 :rule refl :args (@t151)) % 37.25/37.49 (step @p243 :rule bool-double-not-elim :args (@t106)) % 37.25/37.49 (step @p244 :rule refl :args (@t108)) % 37.25/37.49 (step @p245 :rule nary_cong :premises (@p244 @p243 @p242) :args ((or @t108 (not @t107) @t151))) % 37.25/37.49 (step @p246 :rule cnf_and_neg :args (@t108)) % 37.25/37.49 (step @p247 :rule eq_resolve :premises (@p246 @p245)) % 37.25/37.49 (step @p248 :rule reordering :premises (@p247) :args ((or @t106 @t108 @t151))) % 37.25/37.49 (step @p249 :rule chain_m_resolution :premises (@p248 @p241 @p157) :args (@t151 (@list true true) (@list @t106 @t108))) % 37.25/37.49 (step @p250 :rule cnf_equiv_pos2 :args (@t152)) % 37.25/37.49 (step @p251 :rule reordering :premises (@p250) :args ((or @t105 @t153 (not @t152)))) % 37.25/37.49 (step @p252 :rule chain_m_resolution :premises (@p251 @p249 @p155) :args (@t153 @t149 (@list @t105 @t152))) % 37.25/37.49 (step @p253 :rule refl :args (@t161)) % 37.25/37.49 (step @p254 :rule bool-double-not-elim :args (@t78)) % 37.25/37.49 (step @p255 :rule nary_cong :premises (@p254 @p253) :args ((or (not @t153) @t161))) % 37.25/37.49 (assume-push @p364 @t153) % 37.25/37.49 (step @p257 :rule skolemize :premises (@p364)) % 37.25/37.49 (step-pop @p365 :rule scope :premises (@p257)) % 37.25/37.49 (step @p258 :rule process_scope :premises (@p365) :args (@t161)) % 37.25/37.49 (step @p260 :rule implies_elim :premises (@p258)) % 37.25/37.49 (step @p261 :rule eq_resolve :premises (@p260 @p255)) % 37.25/37.49 (step @p262 :rule chain_m_resolution :premises (@p261 @p252) :args (@t161 @t115 (@list @t78))) % 37.25/37.49 (step @p263 :rule bool-double-not-elim :args (@t124)) % 37.25/37.49 (step @p264 :rule refl :args (@t160)) % 37.25/37.49 (step @p265 :rule nary_cong :premises (@p264 @p263) :args ((or @t160 (not @t157)))) % 37.25/37.49 (step @p266 :rule cnf_or_neg :args (@t160 1)) % 37.25/37.49 (step @p267 :rule eq_resolve :premises (@p266 @p265)) % 37.25/37.49 (step @p268 :rule reordering :premises (@p267) :args ((or @t124 @t160))) % 37.25/37.49 (step @p269 :rule chain_m_resolution :premises (@p268 @p262) :args (@t124 @t115 @t162)) % 37.25/37.49 (step @p270 :rule cnf_equiv_pos1 :args (@t126)) % 37.25/37.49 (step @p271 :rule reordering :premises (@p270) :args ((or @t157 @t123 (not @t126)))) % 37.25/37.49 (step @p272 :rule chain_m_resolution :premises (@p271 @p269 @p154) :args (@t123 @t119 (@list @t124 @t126))) % 37.25/37.49 (step @p273 :rule cnf_and_pos :args (@t123 1)) % 37.25/37.49 (step @p274 :rule reordering :premises (@p273) :args ((or @t121 @t163))) % 37.25/37.49 (step @p275 :rule chain_m_resolution :premises (@p274 @p272) :args (@t121 @t76 @t164)) % 37.25/37.49 (step @p276 :rule eq-symm :args (@t167 @t158)) % 37.25/37.49 (step @p277 :rule cong :premises (@p69 @p276) :args ((=> @t72 @t168))) % 37.25/37.49 (assume-push @p366 @t72) % 37.25/37.49 (step @p279 :rule instantiate :premises (@p67) :args ((@list @t80))) % 37.25/37.49 (step-pop @p367 :rule scope :premises (@p279)) % 37.25/37.49 (step @p280 :rule process_scope :premises (@p367) :args (@t168)) % 37.25/37.49 (step @p282 :rule eq_resolve :premises (@p280 @p277)) % 37.25/37.49 (step @p283 :rule implies_elim :premises (@p282)) % 37.25/37.49 (step @p284 :rule chain_m_resolution :premises (@p283 @p67) :args (@t169 @t76 @t88)) % 37.25/37.49 (step @p285 :rule bool-double-not-elim :args (@t158)) % 37.25/37.49 (step @p286 :rule nary_cong :premises (@p264 @p285) :args ((or @t160 (not @t159)))) % 37.25/37.49 (step @p287 :rule cnf_or_neg :args (@t160 0)) % 37.25/37.49 (step @p288 :rule eq_resolve :premises (@p287 @p286)) % 37.25/37.49 (step @p289 :rule reordering :premises (@p288) :args ((or @t158 @t160))) % 37.25/37.49 (step @p290 :rule chain_m_resolution :premises (@p289 @p262) :args (@t158 @t115 @t162)) % 37.25/37.49 (step @p291 :rule cnf_equiv_pos1 :args (@t169)) % 37.25/37.49 (step @p292 :rule reordering :premises (@p291) :args ((or @t159 @t167 (not @t169)))) % 37.25/37.49 (step @p293 :rule chain_m_resolution :premises (@p292 @p290 @p284) :args (@t167 @t119 (@list @t158 @t169))) % 37.25/37.49 (step @p294 :rule cnf_and_pos :args (@t167 1)) % 37.25/37.49 (step @p295 :rule reordering :premises (@p294) :args ((or @t165 @t170))) % 37.25/37.49 (step @p296 :rule chain_m_resolution :premises (@p295 @p293) :args (@t165 @t76 @t171)) % 37.25/37.49 (step @p297 :rule cnf_or_pos :args (@t176)) % 37.25/37.49 (step @p298 :rule reordering :premises (@p297) :args ((or @t175 @t174 @t173 (not @t176)))) % 37.25/37.49 (step @p299 :rule chain_m_resolution :premises (@p298 @p296 @p275 @p145) :args (@t173 @t177 (@list @t165 @t121 @t176))) % 37.25/37.49 (step @p300 :rule cnf_and_pos :args (@t173 0)) % 37.25/37.49 (step @p301 :rule reordering :premises (@p300) :args ((or @t82 @t178))) % 37.25/37.49 (step @p302 :rule chain_m_resolution :premises (@p301 @p299) :args (@t82 @t76 @t179)) % 37.25/37.49 (step @p303 :rule instantiate :premises (@p89) :args (@t139)) % 37.25/37.49 (step @p304 :rule cnf_equiv_pos1 :args (@t181)) % 37.25/37.49 (step @p305 :rule reordering :premises (@p304) :args ((or @t112 @t180 (not @t181)))) % 37.25/37.49 (step @p306 :rule chain_m_resolution :premises (@p305 @p205 @p303) :args (@t180 @t119 (@list @t111 @t181))) % 37.25/37.49 (step @p307 :rule instantiate :premises (@p306) :args (@t120)) % 37.25/37.49 (step @p308 :rule cnf_and_pos :args (@t123 0)) % 37.25/37.49 (step @p309 :rule reordering :premises (@p308) :args ((or @t122 @t163))) % 37.25/37.49 (step @p310 :rule chain_m_resolution :premises (@p309 @p272) :args (@t122 @t76 @t164)) % 37.25/37.49 (step @p311 :rule cnf_and_pos :args (@t167 0)) % 37.25/37.49 (step @p312 :rule reordering :premises (@p311) :args ((or @t166 @t170))) % 37.25/37.49 (step @p313 :rule chain_m_resolution :premises (@p312 @p293) :args (@t166 @t76 @t171)) % 37.25/37.49 (step @p314 :rule cnf_or_pos :args (@t186)) % 37.25/37.49 (step @p315 :rule reordering :premises (@p314) :args ((or @t185 @t184 @t183 (not @t186)))) % 37.25/37.49 (step @p316 :rule chain_m_resolution :premises (@p315 @p313 @p310 @p307) :args (@t183 @t177 (@list @t166 @t122 @t186))) % 37.25/37.49 (step @p317 :rule cnf_and_pos :args (@t183 0)) % 37.25/37.49 (step @p318 :rule reordering :premises (@p317) :args ((or @t83 @t187))) % 37.25/37.49 (step @p319 :rule chain_m_resolution :premises (@p318 @p316) :args (@t83 @t76 @t188)) % 37.25/37.49 (step @p320 :rule cnf_and_neg :args (@t84)) % 37.25/37.49 (step @p321 :rule chain_m_resolution :premises (@p320 @p319 @p302) :args (@t84 @t119 (@list @t83 @t82))) % 34.40/37.50 (step @p322 :rule cnf_equiv_pos2 :args (@t87)) % 34.40/37.50 (step @p323 :rule reordering :premises (@p322) :args ((or @t85 (not @t84) (not @t87)))) % 34.40/37.50 (step @p324 :rule chain_m_resolution :premises (@p323 @p321 @p77) :args (@t85 @t119 (@list @t84 @t87))) % 34.40/37.50 (step @p325 :rule cnf_or_neg :args (@t160 2)) % 34.40/37.50 (step @p326 :rule chain_m_resolution :premises (@p325 @p262) :args ((not @t156) @t115 @t162)) % 34.40/37.50 (step @p327 :rule cnf_and_neg :args (@t156)) % 34.40/37.50 (step @p328 :rule chain_m_resolution :premises (@p327 @p326 @p324) :args ((not @t155) @t149 (@list @t156 @t85))) % 34.40/37.50 (step @p329 :rule cnf_and_pos :args (@t173 1)) % 34.40/37.50 (step @p330 :rule reordering :premises (@p329) :args ((or @t172 @t178))) % 34.40/37.50 (step @p331 :rule chain_m_resolution :premises (@p330 @p299) :args (@t172 @t76 @t179)) % 34.40/37.50 (step @p332 :rule cnf_and_pos :args (@t183 1)) % 34.40/37.50 (step @p333 :rule reordering :premises (@p332) :args ((or @t182 @t187))) % 34.40/37.50 (step @p334 :rule chain_m_resolution :premises (@p333 @p316) :args (@t182 @t76 @t188)) % 34.40/37.50 (step @p335 :rule cnf_and_neg :args (@t189)) % 34.40/37.50 (step @p336 :rule reordering :premises (@p335) :args ((or (not @t182) (not @t172) @t189))) % 34.40/37.50 (step @p337 :rule chain_m_resolution :premises (@p336 @p334 @p331) :args (@t189 @t119 (@list @t182 @t172))) % 34.40/37.50 (step @p338 :rule eq-symm :args (@t189 @t155)) % 34.40/37.50 (step @p339 :rule cong :premises (@p69 @p338) :args ((=> @t72 @t190))) % 34.40/37.50 (assume-push @p368 @t72) % 34.40/37.50 (step @p341 :rule instantiate :premises (@p67) :args ((@list @t154))) % 34.40/37.50 (step-pop @p369 :rule scope :premises (@p341)) % 34.40/37.50 (step @p342 :rule process_scope :premises (@p369) :args (@t190)) % 34.40/37.50 (step @p344 :rule eq_resolve :premises (@p342 @p339)) % 34.40/37.50 (step @p345 :rule implies_elim :premises (@p344)) % 34.40/37.50 (step @p346 :rule chain_m_resolution :premises (@p345 @p67) :args (@t191 @t76 @t88)) % 34.40/37.50 (step @p347 :rule cnf_equiv_pos2 :args (@t191)) % 34.40/37.50 (step @p348 :rule reordering :premises (@p347) :args ((or @t155 (not @t189) (not @t191)))) % 34.40/37.50 (step @p349 false :rule chain_m_resolution :premises (@p348 @p346 @p337 @p328) :args (false (@list false false true) (@list @t191 @t189 @t155))) % 34.40/37.50 ) % 34.40/37.50 % SZS output end Proof % 34.40/37.50 % cvc5 exiting %------------------------------------------------------------------------------