%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU141+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.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 15.45s 16.00s % Output : Proof 15.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU141+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.36 % Computer : n023.cluster.edu % 0.18/0.36 % Model : x86_64 x86_64 % 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.36 % Memory : 8042.1875MB % 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.36 % CPULimit : 300 % 0.18/0.36 % WCLimit : 300 % 0.18/0.36 % DateTime : Tue Jun 2 16:32:43 EDT 2026 % 0.18/0.36 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 15.45/16.00 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.45/16.00 --- Run --no-e-matching --full-saturate-quant at 6... % 15.45/16.00 % SZS status Theorem % 15.45/16.00 % SZS output start Proof % 15.45/16.00 ( % 15.45/16.00 (declare-sort $$unsorted 0) % 15.45/16.00 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.45/16.00 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 15.45/16.00 (declare-const tptp.empty_set $$unsorted) % 15.45/16.00 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 15.45/16.00 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 15.45/16.00 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 15.45/16.00 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.45/16.00 (define @t1 () (@var "A" $$unsorted)) % 15.45/16.00 (define @t2 () (@var "B" $$unsorted)) % 15.45/16.00 (define @t3 () (tptp.in @t1 @t2)) % 15.45/16.00 (define @t4 () (@list @t1 @t2)) % 15.45/16.00 (define @t5 () (tptp.set_intersection2 @t1 @t2)) % 15.45/16.00 (define @t6 () (tptp.subset @t1 @t2)) % 15.45/16.00 (define @t7 () (= @t1 @t2)) % 15.45/16.00 (define @t8 () (@var "C" $$unsorted)) % 15.45/16.00 (define @t9 () (tptp.in @t8 @t2)) % 15.45/16.00 (define @t10 () (tptp.in @t8 @t1)) % 15.45/16.00 (define @t11 () (@list @t8)) % 15.45/16.00 (define @t12 () (forall @t11 (=> @t10 @t9))) % 15.45/16.00 (define @t13 () (= @t6 @t12)) % 15.45/16.00 (define @t14 () (forall @t4 @t13)) % 15.45/16.00 (define @t15 () (@var "D" $$unsorted)) % 15.45/16.00 (define @t16 () (tptp.in @t15 @t2)) % 15.45/16.00 (define @t17 () (tptp.in @t15 @t1)) % 15.45/16.00 (define @t18 () (tptp.in @t15 @t8)) % 15.45/16.00 (define @t19 () (@list @t15)) % 15.45/16.00 (define @t20 () (forall @t19 (= @t18 (and @t17 @t16)))) % 15.45/16.00 (define @t21 () (= (= @t8 @t5) @t20)) % 15.45/16.00 (define @t22 () (@list @t1 @t2 @t8)) % 15.45/16.00 (define @t23 () (forall @t22 @t21)) % 15.45/16.00 (define @t24 () (tptp.set_difference @t1 @t2)) % 15.45/16.00 (define @t25 () (forall @t22 (= (= @t8 @t24) (forall @t19 (= @t18 (and @t17 (not @t16))))))) % 15.45/16.00 (define @t26 () (tptp.disjoint @t1 @t2)) % 15.45/16.00 (define @t27 () (forall @t4 (= @t26 (= @t5 tptp.empty_set)))) % 15.45/16.00 (define @t28 () (tptp.empty @t1)) % 15.45/16.00 (define @t29 () (@list @t1)) % 15.45/16.00 (define @t30 () (tptp.set_difference @t1 tptp.empty_set)) % 15.45/16.00 (define @t31 () (forall @t29 (= @t30 @t1))) % 15.45/16.00 (define @t32 () (tptp.in @t8 @t5)) % 15.45/16.00 (define @t33 () (exists @t11 @t32)) % 15.45/16.00 (define @t34 () (and @t33 @t26)) % 15.45/16.00 (define @t35 () (not @t34)) % 15.45/16.00 (define @t36 () (forall @t11 (not @t32))) % 15.45/16.00 (define @t37 () (not @t26)) % 15.45/16.00 (define @t38 () (not (and @t37 @t36))) % 15.45/16.00 (define @t39 () (and @t38 @t35)) % 15.45/16.00 (define @t40 () (forall @t4 @t39)) % 15.45/16.00 (define @t41 () (tptp.empty @t2)) % 15.45/16.00 (define @t42 () (= @t26 (= @t24 @t1))) % 15.45/16.00 (define @t43 () (forall @t4 @t42)) % 15.45/16.00 (define @t44 () (not @t43)) % 15.45/16.00 (define @t45 () (forall @t4 (= @t26 (= @t1 @t24)))) % 15.45/16.00 (define @t46 () (@quantifiers_skolemize @t45 1)) % 15.45/16.00 (define @t47 () (@quantifiers_skolemize @t45 0)) % 15.45/16.00 (define @t48 () (tptp.set_difference @t47 @t46)) % 15.45/16.00 (define @t49 () (= @t47 @t48)) % 15.45/16.00 (define @t50 () (tptp.disjoint @t47 @t46)) % 15.45/16.00 (define @t51 () (= @t50 @t49)) % 15.45/16.00 (define @t52 () (tptp.set_intersection2 @t47 @t46)) % 15.45/16.00 (define @t53 () (= @t52 tptp.empty_set)) % 15.45/16.00 (define @t54 () (= @t50 @t53)) % 15.45/16.00 (define @t55 () (= tptp.empty_set @t52)) % 15.45/16.00 (define @t56 () (= @t50 @t55)) % 15.45/16.00 (define @t57 () (@list false)) % 15.45/16.00 (define @t58 () (@list @t27)) % 15.45/16.00 (define @t59 () (not @t56)) % 15.45/16.00 (define @t60 () (not @t50)) % 15.45/16.00 (define @t61 () (@list @t47 @t48)) % 15.45/16.00 (define @t62 () (tptp.subset @t48 @t47)) % 15.45/16.00 (define @t63 () (tptp.subset @t47 @t48)) % 15.45/16.00 (define @t64 () (and @t63 @t62)) % 15.45/16.00 (define @t65 () (= @t49 @t64)) % 15.45/16.00 (define @t66 () (= @t5 @t8)) % 15.45/16.00 (define @t67 () (tptp.in @t15 @t46)) % 15.45/16.00 (define @t68 () (tptp.in @t15 @t47)) % 15.45/16.00 (define @t69 () (and @t68 @t67)) % 15.45/16.00 (define @t70 () (tptp.in @t15 tptp.empty_set)) % 15.45/16.00 (define @t71 () (= @t70 @t69)) % 15.45/16.00 (define @t72 () (forall @t19 @t71)) % 15.45/16.00 (define @t73 () (forall @t22 (= @t20 @t66))) % 15.45/16.00 (define @t74 () (= @t72 @t53)) % 15.45/16.00 (define @t75 () (= @t55 @t72)) % 15.45/16.00 (define @t76 () (@list @t73)) % 15.45/16.00 (define @t77 () (not @t75)) % 15.45/16.00 (define @t78 () (not @t55)) % 15.45/16.00 (define @t79 () (tptp.in @t8 @t47)) % 15.45/16.00 (define @t80 () (tptp.in @t8 @t48)) % 15.45/16.00 (define @t81 () (forall @t11 (or (not @t80) @t79))) % 15.45/16.00 (define @t82 () (@quantifiers_skolemize @t81 0)) % 15.45/16.00 (define @t83 () (tptp.in @t82 @t48)) % 15.45/16.00 (define @t84 () (tptp.in @t82 @t47)) % 15.45/16.00 (define @t85 () (not @t83)) % 15.45/16.00 (define @t86 () (or @t85 @t84)) % 15.45/16.00 (define @t87 () (forall @t19 (= (tptp.in @t15 @t48) (and @t68 (not @t67))))) % 15.45/16.00 (define @t88 () (= (= @t48 @t48) @t87)) % 15.45/16.00 (define @t89 () (@list @t25)) % 15.45/16.00 (define @t90 () (and @t84 (not (tptp.in @t82 @t46)))) % 15.45/16.00 (define @t91 () (= @t83 @t90)) % 15.45/16.00 (define @t92 () (not @t86)) % 15.45/16.00 (define @t93 () (not @t81)) % 15.45/16.00 (define @t94 () (= @t62 @t81)) % 15.45/16.00 (define @t95 () (@list false false)) % 15.45/16.00 (define @t96 () (and @t67 @t68)) % 15.45/16.00 (define @t97 () (forall @t19 (= @t70 @t96))) % 15.45/16.00 (define @t98 () (forall @t11 (or (not @t79) @t80))) % 15.45/16.00 (define @t99 () (= @t63 @t98)) % 15.45/16.00 (define @t100 () (not @t98)) % 15.45/16.00 (define @t101 () (@quantifiers_skolemize @t98 0)) % 15.45/16.00 (define @t102 () (@list @t101)) % 15.45/16.00 (define @t103 () (tptp.in @t101 @t47)) % 15.45/16.00 (define @t104 () (tptp.in @t101 @t46)) % 15.45/16.00 (define @t105 () (and @t104 @t103)) % 15.45/16.00 (define @t106 () (tptp.in @t101 tptp.empty_set)) % 15.45/16.00 (define @t107 () (= @t106 @t105)) % 15.45/16.00 (define @t108 () (tptp.in @t101 @t48)) % 15.45/16.00 (define @t109 () (not @t103)) % 15.45/16.00 (define @t110 () (or @t109 @t108)) % 15.45/16.00 (define @t111 () (not @t110)) % 15.45/16.00 (define @t112 () (not @t70)) % 15.45/16.00 (define @t113 () (= @t70 (and @t70 @t112))) % 15.45/16.00 (define @t114 () (forall @t19 @t113)) % 15.45/16.00 (define @t115 () (= tptp.empty_set (tptp.set_difference tptp.empty_set tptp.empty_set))) % 15.45/16.00 (define @t116 () (= @t115 @t114)) % 15.45/16.00 (define @t117 () (@list tptp.empty_set tptp.empty_set tptp.empty_set)) % 15.45/16.00 (define @t118 () (forall @t19 @t112)) % 15.45/16.00 (define @t119 () (= @t115 @t118)) % 15.45/16.00 (define @t120 () (not @t104)) % 15.45/16.00 (define @t121 () (and @t103 @t120)) % 15.45/16.00 (define @t122 () (= @t108 @t121)) % 15.45/16.00 (define @t123 () (@list true true)) % 15.45/16.00 (define @t124 () (@list true false)) % 15.45/16.00 (define @t125 () (not @t72)) % 15.45/16.00 (define @t126 () (not @t97)) % 15.45/16.00 (define @t127 () (@list true)) % 15.45/16.00 (define @t128 () (@quantifiers_skolemize @t97 0)) % 15.45/16.00 (define @t129 () (tptp.in @t128 @t47)) % 15.45/16.00 (define @t130 () (tptp.in @t128 @t46)) % 15.45/16.00 (define @t131 () (and @t130 @t129)) % 15.45/16.00 (define @t132 () (tptp.in @t128 tptp.empty_set)) % 15.45/16.00 (define @t133 () (= @t132 @t131)) % 15.45/16.00 (define @t134 () (not @t133)) % 15.45/16.00 (define @t135 () (@var "BOUND_VARIABLE_7582" $$unsorted)) % 15.45/16.00 (define @t136 () (@var "BOUND_VARIABLE_7580" $$unsorted)) % 15.45/16.00 (define @t137 () (not (tptp.disjoint @t136 @t135))) % 15.45/16.00 (define @t138 () (tptp.set_intersection2 @t136 @t135)) % 15.45/16.00 (define @t139 () (@var "BOUND_VARIABLE_7594" $$unsorted)) % 15.45/16.00 (define @t140 () (not (tptp.in @t139 @t138))) % 15.45/16.00 (define @t141 () (or @t140 @t137)) % 15.45/16.00 (define @t142 () (@list @t139)) % 15.45/16.00 (define @t143 () (forall @t142 @t141)) % 15.45/16.00 (define @t144 () (@list @t136 @t135)) % 15.45/16.00 (define @t145 () (forall @t142 @t140)) % 15.45/16.00 (define @t146 () (or @t145 @t137)) % 15.45/16.00 (define @t147 () (forall @t144 (or (forall @t11 (not (tptp.in @t8 @t138))) @t137))) % 15.45/16.00 (define @t148 () (@var "BOUND_VARIABLE_7569" $$unsorted)) % 15.45/16.00 (define @t149 () (@var "BOUND_VARIABLE_7567" $$unsorted)) % 15.45/16.00 (define @t150 () (forall (@list @t149 @t148) (or (tptp.disjoint @t149 @t148) (not (forall @t11 (not (tptp.in @t8 (tptp.set_intersection2 @t149 @t148)))))))) % 15.45/16.00 (define @t151 () (or @t36 @t37)) % 15.45/16.00 (define @t152 () (forall @t4 @t151)) % 15.45/16.00 (define @t153 () (@list @t1 @t2)) % 15.45/16.00 (define @t154 () (not @t36)) % 15.45/16.00 (define @t155 () (or @t26 @t154)) % 15.45/16.00 (define @t156 () (forall @t4 @t155)) % 15.45/16.00 (define @t157 () (and @t156 @t152)) % 15.45/16.00 (define @t158 () (and @t38 (not (and @t154 @t26)))) % 15.45/16.00 (define @t159 () (tptp.disjoint tptp.empty_set tptp.empty_set)) % 15.45/16.00 (define @t160 () (tptp.set_intersection2 tptp.empty_set tptp.empty_set)) % 15.45/16.00 (define @t161 () (= @t160 tptp.empty_set)) % 15.45/16.00 (define @t162 () (= @t159 @t161)) % 15.45/16.00 (define @t163 () (= tptp.empty_set @t160)) % 15.45/16.00 (define @t164 () (= @t163 @t159)) % 15.45/16.00 (define @t165 () (and @t70 @t70)) % 15.45/16.00 (define @t166 () (= @t70 @t165)) % 15.45/16.00 (define @t167 () (forall @t19 @t166)) % 15.45/16.00 (define @t168 () (= @t167 @t161)) % 15.45/16.00 (define @t169 () (not @t159)) % 15.45/16.00 (define @t170 () (not (tptp.in @t128 @t160))) % 15.45/16.00 (define @t171 () (or @t170 @t169)) % 15.45/16.00 (define @t172 () (not @t131)) % 15.45/16.00 (define @t173 () (@list @t131)) % 15.45/16.00 (define @t174 () (not @t130)) % 15.45/16.00 (define @t175 () (and @t129 @t174)) % 15.45/16.00 (define @t176 () (not @t175)) % 15.45/16.00 (define @t177 () (tptp.in @t128 @t48)) % 15.45/16.00 (define @t178 () (= @t177 @t175)) % 15.45/16.00 (define @t179 () (not @t177)) % 15.45/16.00 (define @t180 () (not @t129)) % 15.45/16.00 (define @t181 () (not @t49)) % 15.45/16.00 (define @t182 () (and @t179 @t49 @t129)) % 15.45/16.00 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 15.45/16.00 (assume @p2 (forall @t4 (= @t5 (tptp.set_intersection2 @t2 @t1)))) % 15.45/16.00 (assume @p3 (forall @t4 (= @t7 (and @t6 (tptp.subset @t2 @t1))))) % 15.45/16.00 (assume @p4 @t14) % 15.45/16.00 (assume @p5 @t23) % 15.45/16.00 (assume @p6 @t25) % 15.45/16.00 (assume @p7 @t27) % 15.45/16.00 (assume @p8 true) % 15.45/16.00 (assume @p9 (tptp.empty tptp.empty_set)) % 15.45/16.00 (assume @p10 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 15.45/16.00 (assume @p11 (exists @t29 @t28)) % 15.45/16.00 (assume @p12 (exists @t29 (not @t28))) % 15.45/16.00 (assume @p13 (forall @t4 (tptp.subset @t1 @t1))) % 15.45/16.00 (assume @p14 (forall @t4 (=> @t26 (tptp.disjoint @t2 @t1)))) % 15.45/16.00 (assume @p15 (forall @t29 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 15.45/16.00 (assume @p16 @t31) % 15.45/16.00 (assume @p17 (forall @t29 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 15.45/16.00 (assume @p18 @t40) % 15.45/16.00 (assume @p19 (forall @t29 (=> @t28 (= @t1 tptp.empty_set)))) % 15.45/16.00 (assume @p20 (forall @t4 (not (and @t3 @t41)))) % 15.45/16.00 (assume @p21 @t44) % 15.45/16.00 (assume @p22 (forall @t4 (not (and @t28 (not @t7) @t41)))) % 15.45/16.00 (step @p23 :rule eq-symm :args (@t24 @t1)) % 15.45/16.00 (step @p24 :rule refl :args (@t26)) % 15.45/16.00 (step @p25 :rule cong :premises (@p24 @p23) :args (@t42)) % 15.45/16.00 (step @p26 :rule cong :premises (@p25) :args (@t43)) % 15.45/16.00 (step @p27 :rule cong :premises (@p26) :args (@t44)) % 15.45/16.00 (step @p28 :rule eq_resolve :premises (@p21 @p27)) % 15.45/16.00 (step @p29 :rule skolemize :premises (@p28)) % 15.45/16.00 (step @p30 :rule cnf_equiv_neg2 :args (@t51)) % 15.45/16.00 (step @p31 :rule eq-symm :args (@t52 tptp.empty_set)) % 15.45/16.00 (step @p32 :rule refl :args (@t50)) % 15.45/16.00 (step @p33 :rule cong :premises (@p32 @p31) :args (@t54)) % 15.45/16.00 (step @p34 :rule refl :args (@t27)) % 15.45/16.00 (step @p35 :rule cong :premises (@p34 @p33) :args ((=> @t27 @t54))) % 15.45/16.00 (assume-push @p346 @t27) % 15.45/16.00 (step @p37 :rule instantiate :premises (@p7) :args ((@list @t47 @t46))) % 15.45/16.00 (step-pop @p347 :rule scope :premises (@p37)) % 15.45/16.00 (step @p38 :rule process_scope :premises (@p347) :args (@t54)) % 15.45/16.00 (step @p40 :rule eq_resolve :premises (@p38 @p35)) % 15.45/16.00 (step @p41 :rule implies_elim :premises (@p40)) % 15.45/16.00 (step @p42 :rule chain_m_resolution :premises (@p41 @p7) :args (@t56 @t57 @t58)) % 15.45/16.00 (step @p43 :rule cnf_equiv_pos1 :args (@t56)) % 15.45/16.00 (step @p44 :rule reordering :premises (@p43) :args ((or @t60 @t55 @t59))) % 15.45/16.00 (step @p45 :rule instantiate :premises (@p3) :args (@t61)) % 15.45/16.00 (step @p46 :rule cnf_equiv_pos2 :args (@t65)) % 15.45/16.00 (step @p47 :rule reordering :premises (@p46) :args ((or @t49 (not @t64) (not @t65)))) % 15.45/16.00 (step @p48 :rule eq-symm :args (@t66 @t20)) % 15.45/16.00 (step @p49 :rule refl :args (@t20)) % 15.45/16.00 (step @p50 :rule eq-symm :args (@t8 @t5)) % 15.45/16.00 (step @p51 :rule cong :premises (@p50 @p49) :args (@t21)) % 15.45/16.00 (step @p52 :rule trans :premises (@p51 @p48)) % 15.45/16.00 (step @p53 :rule cong :premises (@p52) :args (@t23)) % 15.45/16.00 (step @p54 :rule eq_resolve :premises (@p5 @p53)) % 15.45/16.00 (step @p55 :rule refl :args (@t72)) % 15.45/16.00 (step @p56 :rule cong :premises (@p31 @p55) :args ((= @t53 @t72))) % 15.45/16.00 (step @p57 :rule eq-symm :args (@t72 @t53)) % 15.45/16.00 (step @p58 :rule trans :premises (@p57 @p56)) % 15.45/16.00 (step @p59 :rule refl :args (@t73)) % 15.45/16.00 (step @p60 :rule cong :premises (@p59 @p58) :args ((=> @t73 @t74))) % 15.45/16.00 (assume-push @p348 @t73) % 15.45/16.00 (step @p62 :rule instantiate :premises (@p54) :args ((@list @t47 @t46 tptp.empty_set))) % 15.45/16.00 (step-pop @p349 :rule scope :premises (@p62)) % 15.45/16.00 (step @p63 :rule process_scope :premises (@p349) :args (@t74)) % 15.45/16.00 (step @p65 :rule eq_resolve :premises (@p63 @p60)) % 15.45/16.00 (step @p66 :rule implies_elim :premises (@p65)) % 15.45/16.00 (step @p67 :rule chain_m_resolution :premises (@p66 @p54) :args (@t75 @t57 @t76)) % 15.45/16.00 (step @p68 :rule cnf_equiv_pos1 :args (@t75)) % 15.45/16.00 (step @p69 :rule reordering :premises (@p68) :args ((or @t78 @t72 @t77))) % 15.45/16.00 (step @p70 :rule bool-impl-elim :args (@t10 @t9)) % 15.45/16.00 (step @p71 :rule cong :premises (@p70) :args (@t12)) % 15.45/16.00 (step @p72 :rule refl :args (@t6)) % 15.45/16.00 (step @p73 :rule cong :premises (@p72 @p71) :args (@t13)) % 15.45/16.00 (step @p74 :rule cong :premises (@p73) :args (@t14)) % 15.45/16.00 (step @p75 :rule eq_resolve :premises (@p4 @p74)) % 15.45/16.00 (step @p76 :rule instantiate :premises (@p75) :args ((@list @t48 @t47))) % 15.45/16.00 (step @p77 :rule bool-double-not-elim :args (@t83)) % 15.45/16.00 (step @p78 :rule refl :args (@t86)) % 15.45/16.00 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or @t86 (not @t85)))) % 15.45/16.00 (step @p80 :rule cnf_or_neg :args (@t86 0)) % 15.45/16.00 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 15.45/16.00 (step @p82 :rule reordering :premises (@p81) :args ((or @t83 @t86))) % 15.45/16.00 (step @p83 :rule cnf_or_neg :args (@t86 1)) % 15.45/16.00 (step @p84 :rule bool-eq-true :args (@t87)) % 15.45/16.00 (step @p85 :rule eq-symm :args (true @t87)) % 15.45/16.00 (step @p86 :rule trans :premises (@p85 @p84)) % 15.45/16.00 (step @p87 :rule refl :args (@t87)) % 15.45/16.00 (step @p88 :rule eq-refl :args (@t48)) % 15.45/16.01 (step @p89 :rule cong :premises (@p88 @p87) :args (@t88)) % 15.45/16.01 (step @p90 :rule trans :premises (@p89 @p86)) % 15.45/16.01 (step @p91 :rule refl :args (@t25)) % 15.45/16.01 (step @p92 :rule cong :premises (@p91 @p90) :args ((=> @t25 @t88))) % 15.45/16.01 (assume-push @p350 @t25) % 15.45/16.01 (step @p94 :rule instantiate :premises (@p6) :args ((@list @t47 @t46 @t48))) % 15.45/16.01 (step-pop @p351 :rule scope :premises (@p94)) % 15.45/16.01 (step @p95 :rule process_scope :premises (@p351) :args (@t88)) % 15.45/16.01 (step @p97 :rule eq_resolve :premises (@p95 @p92)) % 15.45/16.01 (step @p98 :rule implies_elim :premises (@p97)) % 15.45/16.01 (step @p99 :rule chain_m_resolution :premises (@p98 @p6) :args (@t87 @t57 @t89)) % 15.45/16.01 (step @p100 :rule instantiate :premises (@p99) :args ((@list @t82))) % 15.45/16.01 (step @p101 :rule cnf_equiv_pos1 :args (@t91)) % 15.45/16.01 (step @p102 :rule reordering :premises (@p101) :args ((or @t85 @t90 (not @t91)))) % 15.45/16.01 (step @p103 :rule cnf_and_pos :args (@t90 0)) % 15.45/16.01 (step @p104 :rule reordering :premises (@p103) :args ((or @t84 (not @t90)))) % 15.45/16.01 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p100 @p83 @p82) :args (@t86 (@list false false true false) (@list @t90 @t91 @t84 @t83))) % 15.45/16.01 (step @p106 :rule refl :args (@t92)) % 15.45/16.01 (step @p107 :rule bool-double-not-elim :args (@t81)) % 15.45/16.01 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or (not @t93) @t92))) % 15.45/16.01 (assume-push @p352 @t93) % 15.45/16.01 (step @p110 :rule skolemize :premises (@p352)) % 15.45/16.01 (step-pop @p353 :rule scope :premises (@p110)) % 15.45/16.01 (step @p111 :rule process_scope :premises (@p353) :args (@t92)) % 15.45/16.01 (step @p113 :rule implies_elim :premises (@p111)) % 15.45/16.01 (step @p114 :rule eq_resolve :premises (@p113 @p108)) % 15.45/16.01 (step @p115 :rule chain_m_resolution :premises (@p114 @p105) :args (@t81 @t57 (@list @t86))) % 15.45/16.01 (step @p116 :rule cnf_equiv_pos2 :args (@t94)) % 15.45/16.01 (step @p117 :rule reordering :premises (@p116) :args ((or @t62 @t93 (not @t94)))) % 15.45/16.01 (step @p118 :rule chain_m_resolution :premises (@p117 @p115 @p76) :args (@t62 @t95 (@list @t81 @t94))) % 15.45/16.01 (step @p119 :rule cnf_and_neg :args (@t64)) % 15.45/16.01 (step @p120 :rule aci_norm :args ((= @t69 @t96))) % 15.45/16.01 (step @p121 :rule refl :args (@t70)) % 15.45/16.01 (step @p122 :rule cong :premises (@p121 @p120) :args (@t71)) % 15.45/16.01 (step @p123 :rule cong :premises (@p122) :args (@t72)) % 15.45/16.01 (step @p124 :rule true_intro :premises (@p123)) % 15.45/16.01 (step @p125 :rule eq-symm :args (@t97 @t72)) % 15.45/16.01 (step @p126 :rule trans :premises (@p125 @p124)) % 15.45/16.01 (step @p127 :rule true_elim :premises (@p126)) % 15.45/16.01 (step @p128 :rule equiv_elim2 :premises (@p127)) % 15.45/16.01 (step @p129 :rule instantiate :premises (@p75) :args (@t61)) % 15.45/16.01 (step @p130 :rule cnf_equiv_pos2 :args (@t99)) % 15.45/16.01 (step @p131 :rule reordering :premises (@p130) :args ((or @t63 @t100 (not @t99)))) % 15.45/16.01 (assume-push @p354 @t97) % 15.45/16.01 (step @p133 :rule instantiate :premises (@p354) :args (@t102)) % 15.45/16.01 (step-pop @p355 :rule scope :premises (@p133)) % 15.45/16.01 (step @p134 :rule process_scope :premises (@p355) :args (@t107)) % 15.45/16.01 (step @p136 :rule implies_elim :premises (@p134)) % 15.45/16.01 (step @p137 :rule refl :args (@t111)) % 15.45/16.01 (step @p138 :rule bool-double-not-elim :args (@t98)) % 15.45/16.01 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or (not @t100) @t111))) % 15.45/16.01 (assume-push @p356 @t100) % 15.45/16.01 (step @p141 :rule skolemize :premises (@p356)) % 15.45/16.01 (step-pop @p357 :rule scope :premises (@p141)) % 15.45/16.01 (step @p142 :rule process_scope :premises (@p357) :args (@t111)) % 15.45/16.01 (step @p144 :rule implies_elim :premises (@p142)) % 15.45/16.01 (step @p145 :rule eq_resolve :premises (@p144 @p139)) % 15.45/16.01 (step @p146 :rule bool-eq-false :args (@t70)) % 15.45/16.01 (step @p147 :rule cong :premises (@p146) :args ((forall @t19 (= @t70 false)))) % 15.45/16.01 (step @p148 :rule bool-and-conf :args (true @t70 true true)) % 15.45/16.01 (step @p149 :rule cong :premises (@p121 @p148) :args (@t113)) % 15.45/16.01 (step @p150 :rule cong :premises (@p149) :args (@t114)) % 15.45/16.01 (step @p151 :rule trans :premises (@p150 @p147)) % 15.45/16.01 (step @p152 :rule refl :args (@t115)) % 15.45/16.01 (step @p153 :rule cong :premises (@p152 @p151) :args (@t116)) % 15.45/16.01 (step @p154 :rule cong :premises (@p91 @p153) :args ((=> @t25 @t116))) % 15.45/16.01 (assume-push @p358 @t25) % 15.45/16.01 (step @p156 :rule instantiate :premises (@p6) :args (@t117)) % 15.45/16.01 (step-pop @p359 :rule scope :premises (@p156)) % 15.45/16.01 (step @p157 :rule process_scope :premises (@p359) :args (@t116)) % 15.45/16.01 (step @p159 :rule eq_resolve :premises (@p157 @p154)) % 15.45/16.01 (step @p160 :rule implies_elim :premises (@p159)) % 15.45/16.01 (step @p161 :rule chain_m_resolution :premises (@p160 @p6) :args (@t119 @t57 @t89)) % 15.45/16.01 (step @p162 :rule eq-symm :args (@t30 @t1)) % 15.45/16.01 (step @p163 :rule cong :premises (@p162) :args (@t31)) % 15.45/16.01 (step @p164 :rule eq_resolve :premises (@p16 @p163)) % 15.45/16.01 (step @p165 :rule instantiate :premises (@p164) :args ((@list tptp.empty_set))) % 15.45/16.01 (step @p166 :rule cnf_equiv_pos1 :args (@t119)) % 15.45/16.01 (step @p167 :rule reordering :premises (@p166) :args ((or @t118 (not @t115) (not @t119)))) % 15.45/16.01 (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p161) :args (@t118 @t95 (@list @t115 @t119))) % 15.45/16.01 (step @p169 :rule instantiate :premises (@p168) :args (@t102)) % 15.45/16.01 (step @p170 :rule cnf_equiv_pos2 :args (@t107)) % 15.45/16.01 (step @p171 :rule reordering :premises (@p170) :args ((or @t106 (not @t105) (not @t107)))) % 15.45/16.01 (step @p172 :rule bool-double-not-elim :args (@t103)) % 15.45/16.01 (step @p173 :rule refl :args (@t110)) % 15.45/16.01 (step @p174 :rule nary_cong :premises (@p173 @p172) :args ((or @t110 (not @t109)))) % 15.45/16.01 (step @p175 :rule cnf_or_neg :args (@t110 0)) % 15.45/16.01 (step @p176 :rule eq_resolve :premises (@p175 @p174)) % 15.45/16.01 (step @p177 :rule reordering :premises (@p176) :args ((or @t103 @t110))) % 15.45/16.01 (step @p178 :rule cnf_or_neg :args (@t110 1)) % 15.45/16.01 (step @p179 :rule cnf_and_neg :args (@t105)) % 15.45/16.01 (step @p180 :rule reordering :premises (@p179) :args ((or @t109 @t120 @t105))) % 15.45/16.01 (step @p181 :rule instantiate :premises (@p99) :args (@t102)) % 15.45/16.01 (step @p182 :rule cnf_equiv_pos2 :args (@t122)) % 15.45/16.01 (step @p183 :rule reordering :premises (@p182) :args ((or @t108 (not @t121) (not @t122)))) % 15.45/16.01 (step @p184 :rule bool-double-not-elim :args (@t104)) % 15.45/16.01 (step @p185 :rule refl :args (@t109)) % 15.45/16.01 (step @p186 :rule refl :args (@t121)) % 15.45/16.01 (step @p187 :rule nary_cong :premises (@p186 @p185 @p184) :args ((or @t121 @t109 (not @t120)))) % 15.45/16.01 (step @p188 :rule cnf_and_neg :args (@t121)) % 15.45/16.01 (step @p189 :rule eq_resolve :premises (@p188 @p187)) % 15.45/16.01 (step @p190 :rule reordering :premises (@p189) :args ((or @t109 @t104 @t121))) % 15.45/16.01 (step @p191 :rule chain_m_resolution :premises (@p190 @p183 @p181 @p180 @p178 @p177) :args ((or @t110 @t105) (@list true false true true false) (@list @t121 @t122 @t104 @t108 @t103))) % 15.45/16.01 (step @p192 :rule chain_m_resolution :premises (@p191 @p171 @p169 @p145 @p136 @p131 @p129 @p128 @p119 @p118 @p69 @p67 @p47 @p45 @p44 @p42 @p30 @p29) :args (@t60 (@list true true true false true false false true false false false true false false false true true) (@list @t105 @t106 @t110 @t107 @t98 @t99 @t97 @t63 @t62 @t72 @t75 @t64 @t65 @t55 @t56 @t49 @t51))) % 15.45/16.01 (step @p193 :rule cnf_equiv_neg1 :args (@t51)) % 15.45/16.01 (step @p194 :rule reordering :premises (@p193) :args ((or @t50 @t49 @t51))) % 15.45/16.01 (step @p195 :rule chain_m_resolution :premises (@p194 @p192 @p29) :args (@t49 @t123 (@list @t50 @t51))) % 15.45/16.01 (step @p196 :rule cnf_equiv_pos2 :args (@t56)) % 15.45/16.01 (step @p197 :rule reordering :premises (@p196) :args ((or @t50 @t78 @t59))) % 15.45/16.01 (step @p198 :rule chain_m_resolution :premises (@p197 @p192 @p42) :args (@t78 @t124 (@list @t50 @t56))) % 15.45/16.01 (step @p199 :rule cnf_equiv_pos2 :args (@t75)) % 15.45/16.01 (step @p200 :rule reordering :premises (@p199) :args ((or @t55 @t125 @t77))) % 15.45/16.01 (step @p201 :rule chain_m_resolution :premises (@p200 @p198 @p67) :args (@t125 @t124 (@list @t55 @t75))) % 15.45/16.01 (step @p202 :rule equiv_elim1 :premises (@p127)) % 15.45/16.01 (step @p203 :rule chain_m_resolution :premises (@p202 @p201) :args (@t126 @t127 (@list @t72))) % 15.45/16.01 (step @p204 :rule refl :args (@t134)) % 15.45/16.01 (step @p205 :rule bool-double-not-elim :args (@t97)) % 15.45/16.01 (step @p206 :rule nary_cong :premises (@p205 @p204) :args ((or (not @t126) @t134))) % 15.45/16.01 (assume-push @p360 @t126) % 15.45/16.01 (step @p208 :rule skolemize :premises (@p360)) % 15.45/16.01 (step-pop @p361 :rule scope :premises (@p208)) % 15.45/16.01 (step @p209 :rule process_scope :premises (@p361) :args (@t134)) % 15.45/16.01 (step @p211 :rule implies_elim :premises (@p209)) % 15.45/16.01 (step @p212 :rule eq_resolve :premises (@p211 @p206)) % 15.45/16.01 (step @p213 :rule chain_m_resolution :premises (@p212 @p203) :args (@t134 @t127 (@list @t97))) % 15.45/16.01 (step @p214 :rule quant-merge-prenex :args ((= (forall @t144 @t143) (forall (@list @t136 @t135 @t139) @t141)))) % 15.45/16.01 (step @p215 :rule refl :args (@t137)) % 15.45/16.01 (step @p216 :rule alpha_equiv :args (@t145 (@list @t139) (@list @t8))) % 15.45/16.01 (step @p217 :rule nary_cong :premises (@p216 @p215) :args (@t146)) % 15.45/16.01 (step @p218 :rule quant-miniscope-or :args ((= @t143 @t146))) % 15.45/16.01 (step @p219 :rule trans :premises (@p218 @p217)) % 15.45/16.01 (step @p220 :rule symm :premises (@p219)) % 15.45/16.01 (step @p221 :rule cong :premises (@p220) :args (@t147)) % 15.45/16.01 (step @p222 :rule trans :premises (@p221 @p214)) % 15.45/16.01 (step @p223 :rule refl :args (@t150)) % 15.45/16.01 (step @p224 :rule nary_cong :premises (@p223 @p222) :args ((and @t150 @t147))) % 15.45/16.01 (step @p225 :rule alpha_equiv :args (@t152 @t153 (@list @t136 @t135))) % 15.45/16.01 (step @p226 :rule alpha_equiv :args (@t156 @t153 (@list @t149 @t148))) % 15.45/16.01 (step @p227 :rule nary_cong :premises (@p226 @p225) :args (@t157)) % 15.45/16.01 (step @p228 :rule quant-miniscope-and :args ((= (forall @t4 (and @t155 @t151)) @t157))) % 15.45/16.01 (step @p229 :rule trans :premises (@p228 @p227)) % 15.45/16.01 (step @p230 :rule trans :premises (@p229 @p224)) % 15.45/16.01 (step @p231 :rule refl :args (@t37)) % 15.45/16.01 (step @p232 :rule bool-double-not-elim :args (@t36)) % 15.45/16.01 (step @p233 :rule nary_cong :premises (@p232 @p231) :args ((or (not @t154) @t37))) % 15.45/16.01 (step @p234 :rule bool-and-de-morgan :args (@t154 @t26 true)) % 15.45/16.01 (step @p235 :rule trans :premises (@p234 @p233)) % 15.45/16.01 (step @p236 :rule refl :args (@t154)) % 15.45/16.01 (step @p237 :rule bool-double-not-elim :args (@t26)) % 15.45/16.01 (step @p238 :rule nary_cong :premises (@p237 @p236) :args ((or (not @t37) @t154))) % 15.45/16.01 (step @p239 :rule bool-and-de-morgan :args (@t37 @t36 true)) % 15.45/16.01 (step @p240 :rule trans :premises (@p239 @p238)) % 15.45/16.01 (step @p241 :rule nary_cong :premises (@p240 @p235) :args (@t158)) % 15.45/16.01 (step @p242 :rule cong :premises (@p241) :args ((forall @t4 @t158))) % 15.45/16.01 (step @p243 :rule trans :premises (@p242 @p230)) % 15.45/16.01 (step @p244 :rule exists-elim :args ((= @t33 @t154))) % 15.45/16.01 (step @p245 :rule nary_cong :premises (@p244 @p24) :args (@t34)) % 15.45/16.01 (step @p246 :rule cong :premises (@p245) :args (@t35)) % 15.45/16.01 (step @p247 :rule refl :args (@t38)) % 15.45/16.01 (step @p248 :rule nary_cong :premises (@p247 @p246) :args (@t39)) % 15.45/16.01 (step @p249 :rule cong :premises (@p248) :args (@t40)) % 15.45/16.01 (step @p250 :rule trans :premises (@p249 @p243)) % 15.45/16.01 (step @p251 :rule eq_resolve :premises (@p18 @p250)) % 15.45/16.01 (step @p252 :rule and_elim :premises (@p251) :args (1)) % 15.45/16.01 (step @p253 :rule instantiate :premises (@p252) :args ((@list tptp.empty_set tptp.empty_set @t128))) % 15.45/16.01 (step @p254 :rule refl :args (@t159)) % 15.45/16.01 (step @p255 :rule eq-symm :args (@t160 tptp.empty_set)) % 15.45/16.01 (step @p256 :rule cong :premises (@p255 @p254) :args ((= @t161 @t159))) % 15.45/16.01 (step @p257 :rule eq-symm :args (@t159 @t161)) % 15.45/16.01 (step @p258 :rule trans :premises (@p257 @p256)) % 15.45/16.01 (step @p259 :rule cong :premises (@p34 @p258) :args ((=> @t27 @t162))) % 15.45/16.01 (assume-push @p362 @t27) % 15.45/16.01 (step @p261 :rule instantiate :premises (@p7) :args ((@list tptp.empty_set tptp.empty_set))) % 15.45/16.01 (step-pop @p363 :rule scope :premises (@p261)) % 15.45/16.01 (step @p262 :rule process_scope :premises (@p363) :args (@t162)) % 15.45/16.01 (step @p264 :rule eq_resolve :premises (@p262 @p259)) % 15.45/16.01 (step @p265 :rule implies_elim :premises (@p264)) % 15.45/16.01 (step @p266 :rule chain_m_resolution :premises (@p265 @p7) :args (@t164 @t57 @t58)) % 15.45/16.01 (step @p267 :rule bool-eq-true :args (@t163)) % 15.45/16.01 (step @p268 :rule eq-symm :args (true @t163)) % 15.45/16.01 (step @p269 :rule trans :premises (@p268 @p267)) % 15.45/16.01 (step @p270 :rule quant-unused-vars :args ((= (forall @t19 true) true))) % 15.45/16.01 (step @p271 :rule eq-refl :args (@t70)) % 15.45/16.01 (step @p272 :rule aci_norm :args ((= @t165 @t70))) % 15.45/16.01 (step @p273 :rule refl :args (@t70)) % 15.45/16.01 (step @p274 :rule cong :premises (@p273 @p272) :args (@t166)) % 15.45/16.01 (step @p275 :rule trans :premises (@p274 @p271)) % 15.45/16.01 (step @p276 :rule cong :premises (@p275) :args (@t167)) % 15.45/16.01 (step @p277 :rule trans :premises (@p276 @p270)) % 15.45/16.01 (step @p278 :rule cong :premises (@p277 @p255) :args (@t168)) % 15.45/16.01 (step @p279 :rule trans :premises (@p278 @p269)) % 15.45/16.01 (step @p280 :rule cong :premises (@p59 @p279) :args ((=> @t73 @t168))) % 15.45/16.01 (assume-push @p364 @t73) % 15.45/16.01 (step @p282 :rule instantiate :premises (@p54) :args (@t117)) % 15.45/16.01 (step-pop @p365 :rule scope :premises (@p282)) % 15.45/16.01 (step @p283 :rule process_scope :premises (@p365) :args (@t168)) % 15.45/16.01 (step @p285 :rule eq_resolve :premises (@p283 @p280)) % 15.45/16.01 (step @p286 :rule implies_elim :premises (@p285)) % 15.45/16.01 (step @p287 :rule chain_m_resolution :premises (@p286 @p54) :args (@t163 @t57 @t76)) % 15.45/16.01 (step @p288 :rule cnf_equiv_pos1 :args (@t164)) % 15.45/16.01 (step @p289 :rule reordering :premises (@p288) :args ((or @t159 (not @t163) (not @t164)))) % 15.45/16.01 (step @p290 :rule chain_m_resolution :premises (@p289 @p287 @p266) :args (@t159 @t95 (@list @t163 @t164))) % 15.45/16.01 (step @p291 :rule cnf_or_pos :args (@t171)) % 15.45/16.01 (step @p292 :rule reordering :premises (@p291) :args ((or @t169 @t170 (not @t171)))) % 15.45/16.01 (step @p293 :rule chain_m_resolution :premises (@p292 @p290 @p253) :args (@t170 @t95 (@list @t159 @t171))) % 15.45/16.01 (step @p294 :rule false_intro :premises (@p293)) % 15.45/16.01 (step @p295 :rule refl :args (@t128)) % 15.45/16.01 (step @p296 :rule cong :premises (@p295 @p287) :args (@t132)) % 15.45/16.01 (step @p297 :rule trans :premises (@p296 @p294)) % 15.45/16.01 (step @p298 :rule false_elim :premises (@p297)) % 15.45/16.01 (step @p299 :rule cnf_equiv_neg1 :args (@t133)) % 15.45/16.01 (step @p300 :rule reordering :premises (@p299) :args ((or @t132 @t131 @t133))) % 15.45/16.01 (step @p301 :rule chain_m_resolution :premises (@p300 @p298 @p213) :args (@t131 @t123 (@list @t132 @t133))) % 15.45/16.01 (step @p302 :rule cnf_and_pos :args (@t131 1)) % 15.45/16.01 (step @p303 :rule reordering :premises (@p302) :args ((or @t129 @t172))) % 15.45/16.01 (step @p304 :rule chain_m_resolution :premises (@p303 @p301) :args (@t129 @t57 @t173)) % 15.45/16.01 (step @p305 :rule instantiate :premises (@p99) :args ((@list @t128))) % 15.45/16.01 (step @p306 :rule cnf_and_pos :args (@t131 0)) % 15.45/16.01 (step @p307 :rule reordering :premises (@p306) :args ((or @t130 @t172))) % 15.45/16.01 (step @p308 :rule chain_m_resolution :premises (@p307 @p301) :args (@t130 @t57 @t173)) % 15.45/16.01 (step @p309 :rule cnf_and_pos :args (@t175 1)) % 15.45/16.01 (step @p310 :rule reordering :premises (@p309) :args ((or @t174 @t176))) % 15.45/16.01 (step @p311 :rule chain_m_resolution :premises (@p310 @p308) :args (@t176 @t57 (@list @t130))) % 15.45/16.01 (step @p312 :rule cnf_equiv_pos1 :args (@t178)) % 15.45/16.01 (step @p313 :rule reordering :premises (@p312) :args ((or @t175 @t179 (not @t178)))) % 15.45/16.01 (step @p314 :rule chain_m_resolution :premises (@p313 @p311 @p305) :args (@t179 @t124 (@list @t175 @t178))) % 15.45/16.01 (step @p315 :rule bool-double-not-elim :args (@t177)) % 15.45/16.01 (step @p316 :rule refl :args (@t180)) % 15.45/16.01 (step @p317 :rule refl :args (@t181)) % 15.45/16.01 (step @p318 :rule nary_cong :premises (@p317 @p316 @p315) :args ((or @t181 @t180 (not @t179)))) % 15.45/16.01 (assume-push @p366 @t179) % 15.45/16.01 (assume-push @p367 @t49) % 15.45/16.01 (assume-push @p368 @t129) % 15.45/16.01 (step @p322 :rule evaluate :args ((= true false))) % 15.45/16.01 (step @p323 :rule false_intro :premises (@p366)) % 15.45/16.01 (step @p324 :rule cong :premises (@p295 @p367) :args (@t129)) % 15.45/16.01 (step @p325 :rule true_intro :premises (@p368)) % 15.45/16.01 (step @p326 :rule symm :premises (@p325)) % 15.45/16.01 (step @p327 :rule trans :premises (@p326 @p324 @p323)) % 15.45/16.01 (step @p328 false :rule eq_resolve :premises (@p327 @p322)) % 15.45/16.01 (step-pop @p369 :rule scope :premises (@p328)) % 15.45/16.01 (step-pop @p370 :rule scope :premises (@p369)) % 15.45/16.01 (step-pop @p371 :rule scope :premises (@p370)) % 15.45/16.01 (step @p329 :rule process_scope :premises (@p371) :args (false)) % 15.45/16.01 (assume-push @p372 @t49) % 15.45/16.01 (assume-push @p373 @t129) % 15.45/16.01 (assume-push @p374 @t179) % 15.45/16.01 (step @p336 :rule and_intro :premises (@p374 @p372 @p373)) % 15.45/16.01 (step-pop @p375 :rule scope :premises (@p336)) % 15.45/16.01 (step-pop @p376 :rule scope :premises (@p375)) % 15.45/16.01 (step-pop @p377 :rule scope :premises (@p376)) % 15.45/16.01 (step @p337 :rule process_scope :premises (@p377) :args (@t182)) % 15.45/16.01 (step @p341 :rule implies_elim :premises (@p337)) % 15.45/16.01 (step @p342 :rule resolution :premises (@p341 @p329) :args (true @t182)) % 15.45/16.01 (step @p343 :rule not_and :premises (@p342)) % 15.45/16.01 (step @p344 :rule eq_resolve :premises (@p343 @p318)) % 15.45/16.01 (step @p345 false :rule chain_m_resolution :premises (@p344 @p314 @p304 @p195) :args (false (@list true false false) (@list @t177 @t129 @t49))) % 15.45/16.01 ) % 15.45/16.01 % SZS output end Proof % 15.45/16.01 % cvc5 exiting %------------------------------------------------------------------------------