%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU241+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 : n026.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 08:51:06 AM UTC 2026 % Result : Theorem 0.37s 0.62s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU241+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n026.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:47:10 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.62 % SZS status Theorem % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort $$unsorted 0) % 0.37/0.62 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.function (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.empty_set $$unsorted) % 0.37/0.62 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.37/0.62 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.37/0.62 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.37/0.62 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.62 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.62 (define @t3 () (tptp.in @t1 @t2)) % 0.37/0.62 (define @t4 () (@list @t1 @t2)) % 0.37/0.62 (define @t5 () (tptp.function @t1)) % 0.37/0.62 (define @t6 () (tptp.empty @t1)) % 0.37/0.62 (define @t7 () (@list @t1)) % 0.37/0.62 (define @t8 () (tptp.relation @t1)) % 0.37/0.62 (define @t9 () (and @t8 @t5 (tptp.one_to_one @t1))) % 0.37/0.62 (define @t10 () (and @t8 @t6 @t5)) % 0.37/0.62 (define @t11 () (tptp.unordered_pair @t1 @t2)) % 0.37/0.62 (define @t12 () (tptp.set_union2 @t2 @t1)) % 0.37/0.62 (define @t13 () (tptp.set_union2 @t1 @t2)) % 0.37/0.62 (define @t14 () (tptp.relation_field @t1)) % 0.37/0.62 (define @t15 () (tptp.antisymmetric @t1)) % 0.37/0.62 (define @t16 () (= @t15 (tptp.is_antisymmetric_in @t1 @t14))) % 0.37/0.62 (define @t17 () (forall @t7 (=> @t8 @t16))) % 0.37/0.62 (define @t18 () (@var "D" $$unsorted)) % 0.37/0.62 (define @t19 () (@var "C" $$unsorted)) % 0.37/0.62 (define @t20 () (= @t19 @t18)) % 0.37/0.62 (define @t21 () (tptp.ordered_pair @t18 @t19)) % 0.37/0.62 (define @t22 () (tptp.in @t21 @t1)) % 0.37/0.62 (define @t23 () (tptp.ordered_pair @t19 @t18)) % 0.37/0.62 (define @t24 () (tptp.in @t23 @t1)) % 0.37/0.62 (define @t25 () (tptp.in @t18 @t2)) % 0.37/0.62 (define @t26 () (tptp.in @t19 @t2)) % 0.37/0.62 (define @t27 () (and @t26 @t25 @t24 @t22)) % 0.37/0.62 (define @t28 () (@list @t19 @t18)) % 0.37/0.62 (define @t29 () (forall @t28 (=> @t27 @t20))) % 0.37/0.62 (define @t30 () (tptp.is_antisymmetric_in @t1 @t2)) % 0.37/0.62 (define @t31 () (= @t30 @t29)) % 0.37/0.62 (define @t32 () (@list @t2)) % 0.37/0.62 (define @t33 () (forall @t32 @t31)) % 0.37/0.62 (define @t34 () (=> @t8 @t33)) % 0.37/0.62 (define @t35 () (forall @t7 @t34)) % 0.37/0.62 (define @t36 () (tptp.ordered_pair @t1 @t2)) % 0.37/0.62 (define @t37 () (not @t6)) % 0.37/0.62 (define @t38 () (= @t2 @t19)) % 0.37/0.62 (define @t39 () (tptp.ordered_pair @t19 @t2)) % 0.37/0.62 (define @t40 () (tptp.in @t39 @t1)) % 0.37/0.62 (define @t41 () (tptp.ordered_pair @t2 @t19)) % 0.37/0.62 (define @t42 () (tptp.in @t41 @t1)) % 0.37/0.62 (define @t43 () (and @t42 @t40)) % 0.37/0.62 (define @t44 () (@list @t2 @t19)) % 0.37/0.62 (define @t45 () (forall @t44 (=> @t43 @t38))) % 0.37/0.62 (define @t46 () (= @t15 @t45)) % 0.37/0.62 (define @t47 () (=> @t8 @t46)) % 0.37/0.62 (define @t48 () (forall @t7 @t47)) % 0.37/0.62 (define @t49 () (not @t48)) % 0.37/0.62 (define @t50 () (tptp.element @t1 @t2)) % 0.37/0.62 (define @t51 () (tptp.empty @t2)) % 0.37/0.62 (define @t52 () (tptp.relation_field @t19)) % 0.37/0.62 (define @t53 () (and (tptp.in @t1 @t52) (tptp.in @t2 @t52))) % 0.37/0.62 (define @t54 () (tptp.in @t36 @t19)) % 0.37/0.62 (define @t55 () (=> @t54 @t53)) % 0.37/0.62 (define @t56 () (tptp.relation @t19)) % 0.37/0.62 (define @t57 () (forall (@list @t1 @t2 @t19) (=> @t56 @t55))) % 0.37/0.62 (define @t58 () (not @t40)) % 0.37/0.62 (define @t59 () (not @t42)) % 0.37/0.62 (define @t60 () (or @t59 @t58 @t38)) % 0.37/0.62 (define @t61 () (= @t15 (forall @t44 @t60))) % 0.37/0.62 (define @t62 () (not @t8)) % 0.37/0.62 (define @t63 () (@quantifiers_skolemize (forall @t7 (or @t62 @t61)) 0)) % 0.37/0.62 (define @t64 () (forall @t44 (or (not (tptp.in @t41 @t63)) (not (tptp.in @t39 @t63)) @t38))) % 0.37/0.62 (define @t65 () (tptp.antisymmetric @t63)) % 0.37/0.62 (define @t66 () (= @t65 @t64)) % 0.37/0.62 (define @t67 () (tptp.relation @t63)) % 0.37/0.62 (define @t68 () (not @t67)) % 0.37/0.62 (define @t69 () (or @t68 @t66)) % 0.37/0.62 (define @t70 () (@list true)) % 0.37/0.62 (define @t71 () (@list @t69)) % 0.37/0.62 (define @t72 () (tptp.relation_field @t63)) % 0.37/0.62 (define @t73 () (tptp.is_antisymmetric_in @t63 @t72)) % 0.37/0.62 (define @t74 () (= @t65 @t73)) % 0.37/0.62 (define @t75 () (or @t68 @t74)) % 0.37/0.62 (define @t76 () (@list false false)) % 0.37/0.62 (define @t77 () (not @t74)) % 0.37/0.62 (define @t78 () (not @t73)) % 0.37/0.62 (define @t79 () (forall @t28 (or (not (tptp.in @t19 @t72)) (not (tptp.in @t18 @t72)) (not (tptp.in @t23 @t63)) (not (tptp.in @t21 @t63)) @t20))) % 0.37/0.62 (define @t80 () (@quantifiers_skolemize @t79 1)) % 0.37/0.62 (define @t81 () (@quantifiers_skolemize @t79 0)) % 0.37/0.62 (define @t82 () (= @t81 @t80)) % 0.37/0.62 (define @t83 () (tptp.in (tptp.ordered_pair @t80 @t81) @t63)) % 0.37/0.62 (define @t84 () (not @t83)) % 0.37/0.62 (define @t85 () (tptp.in (tptp.ordered_pair @t81 @t80) @t63)) % 0.37/0.62 (define @t86 () (not @t85)) % 0.37/0.62 (define @t87 () (or @t86 @t84 @t82)) % 0.37/0.62 (define @t88 () (not @t22)) % 0.37/0.62 (define @t89 () (not @t24)) % 0.37/0.62 (define @t90 () (@var "BOUND_VARIABLE_7590" $$unsorted)) % 0.37/0.62 (define @t91 () (= (tptp.is_antisymmetric_in @t1 @t90) (forall @t28 (or (not (tptp.in @t19 @t90)) (not (tptp.in @t18 @t90)) @t89 @t88 @t20)))) % 0.37/0.62 (define @t92 () (or @t62 @t91)) % 0.37/0.62 (define @t93 () (@list @t90)) % 0.37/0.62 (define @t94 () (forall @t93 @t92)) % 0.37/0.62 (define @t95 () (forall @t93 @t91)) % 0.37/0.62 (define @t96 () (or @t62 @t95)) % 0.37/0.62 (define @t97 () (not @t25)) % 0.37/0.62 (define @t98 () (not @t26)) % 0.37/0.62 (define @t99 () (or @t98 @t97 @t89 @t88 @t20)) % 0.37/0.62 (define @t100 () (forall @t32 (= @t30 (forall @t28 @t99)))) % 0.37/0.62 (define @t101 () (or @t98 @t97 @t89 @t88)) % 0.37/0.62 (define @t102 () (= @t73 @t79)) % 0.37/0.62 (define @t103 () (or @t68 @t102)) % 0.37/0.62 (define @t104 () (not @t102)) % 0.37/0.62 (define @t105 () (not @t79)) % 0.37/0.62 (define @t106 () (or (not (tptp.in @t81 @t72)) (not (tptp.in @t80 @t72)) @t86 @t84 @t82)) % 0.37/0.62 (define @t107 () (not @t106)) % 0.37/0.62 (define @t108 () (not @t64)) % 0.37/0.62 (define @t109 () (@quantifiers_skolemize @t64 1)) % 0.37/0.62 (define @t110 () (@quantifiers_skolemize @t64 0)) % 0.37/0.62 (define @t111 () (= @t110 @t109)) % 0.37/0.62 (define @t112 () (tptp.in (tptp.ordered_pair @t109 @t110) @t63)) % 0.37/0.62 (define @t113 () (not @t112)) % 0.37/0.62 (define @t114 () (tptp.in (tptp.ordered_pair @t110 @t109) @t63)) % 0.37/0.62 (define @t115 () (not @t114)) % 0.37/0.62 (define @t116 () (or @t115 @t113 @t111)) % 0.37/0.62 (define @t117 () (not @t116)) % 0.37/0.62 (define @t118 () (@list @t116)) % 0.37/0.62 (define @t119 () (tptp.in @t109 @t72)) % 0.37/0.62 (define @t120 () (not @t119)) % 0.37/0.62 (define @t121 () (tptp.in @t110 @t72)) % 0.37/0.62 (define @t122 () (not @t121)) % 0.37/0.62 (define @t123 () (or @t122 @t120 @t115 @t113 @t111)) % 0.37/0.62 (define @t124 () (@list false)) % 0.37/0.62 (define @t125 () (not @t54)) % 0.37/0.62 (define @t126 () (not @t56)) % 0.37/0.62 (define @t127 () (and @t121 @t119)) % 0.37/0.62 (define @t128 () (or @t68 @t115 @t127)) % 0.37/0.62 (define @t129 () (not @t127)) % 0.37/0.62 (define @t130 () (@list @t127)) % 0.37/0.62 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.37/0.62 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.37/0.62 (assume @p3 (forall @t7 (=> @t10 @t9))) % 0.37/0.62 (assume @p4 (forall @t4 (= @t11 (tptp.unordered_pair @t2 @t1)))) % 0.37/0.62 (assume @p5 (forall @t4 (= @t13 @t12))) % 0.37/0.62 (assume @p6 @t17) % 0.37/0.62 (assume @p7 @t35) % 0.37/0.62 (assume @p8 (forall @t4 (= @t36 (tptp.unordered_pair @t11 (tptp.singleton @t1))))) % 0.37/0.62 (assume @p9 (forall @t7 (=> @t8 (= @t14 (tptp.set_union2 (tptp.relation_dom @t1) (tptp.relation_rng @t1)))))) % 0.37/0.62 (assume @p10 true) % 0.37/0.62 (assume @p11 (forall @t7 (exists @t32 (tptp.element @t2 @t1)))) % 0.37/0.62 (assume @p12 (tptp.empty tptp.empty_set)) % 0.37/0.62 (assume @p13 (forall @t4 (not (tptp.empty @t36)))) % 0.37/0.62 (assume @p14 (forall @t4 (=> @t37 (not (tptp.empty @t13))))) % 0.37/0.62 (assume @p15 (forall @t4 (=> @t37 (not (tptp.empty @t12))))) % 0.37/0.62 (assume @p16 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.37/0.62 (assume @p17 @t49) % 0.37/0.62 (assume @p18 (exists @t7 (and @t8 @t5))) % 0.37/0.62 (assume @p19 (exists @t7 @t6)) % 0.37/0.62 (assume @p20 (exists @t7 @t10)) % 0.37/0.62 (assume @p21 (exists @t7 @t37)) % 0.37/0.62 (assume @p22 (exists @t7 @t9)) % 0.37/0.62 (assume @p23 (forall @t7 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.37/0.62 (assume @p24 (forall @t4 (=> @t3 @t50))) % 0.37/0.62 (assume @p25 (forall @t4 (=> @t50 (or @t51 @t3)))) % 0.37/0.62 (assume @p26 @t57) % 0.37/0.62 (assume @p27 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.37/0.62 (assume @p28 (forall @t4 (not (and @t3 @t51)))) % 0.37/0.62 (assume @p29 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t51)))) % 0.37/0.62 (step @p30 :rule bool-impl-elim :args (@t8 @t61)) % 0.37/0.62 (step @p31 :rule cong :premises (@p30) :args ((forall @t7 (=> @t8 @t61)))) % 0.37/0.62 (step @p32 :rule aci_norm :args ((= (or (or @t59 @t58) @t38) @t60))) % 0.37/0.62 (step @p33 :rule refl :args (@t38)) % 0.37/0.62 (step @p34 :rule bool-and-de-morgan :args (@t42 @t40 true)) % 0.37/0.62 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or (not @t43) @t38))) % 0.37/0.62 (step @p36 :rule trans :premises (@p35 @p32)) % 0.37/0.62 (step @p37 :rule bool-impl-elim :args (@t43 @t38)) % 0.37/0.62 (step @p38 :rule trans :premises (@p37 @p36)) % 0.37/0.62 (step @p39 :rule cong :premises (@p38) :args (@t45)) % 0.37/0.62 (step @p40 :rule refl :args (@t15)) % 0.37/0.62 (step @p41 :rule cong :premises (@p40 @p39) :args (@t46)) % 0.37/0.62 (step @p42 :rule refl :args (@t8)) % 0.37/0.62 (step @p43 :rule cong :premises (@p42 @p41) :args (@t47)) % 0.37/0.62 (step @p44 :rule cong :premises (@p43) :args (@t48)) % 0.37/0.62 (step @p45 :rule trans :premises (@p44 @p31)) % 0.37/0.62 (step @p46 :rule cong :premises (@p45) :args (@t49)) % 0.37/0.62 (step @p47 :rule eq_resolve :premises (@p17 @p46)) % 0.37/0.62 (step @p48 :rule skolemize :premises (@p47)) % 0.37/0.62 (step @p49 :rule cnf_or_neg :args (@t69 1)) % 0.37/0.62 (step @p50 :rule chain_m_resolution :premises (@p49 @p48) :args ((not @t66) @t70 @t71)) % 0.37/0.62 (step @p51 :rule cnf_equiv_neg1 :args (@t66)) % 0.37/0.62 (step @p52 :rule reordering :premises (@p51) :args ((or @t65 @t64 @t66))) % 0.37/0.62 (step @p53 :rule bool-impl-elim :args (@t8 @t16)) % 0.37/0.62 (step @p54 :rule cong :premises (@p53) :args (@t17)) % 0.37/0.62 (step @p55 :rule eq_resolve :premises (@p6 @p54)) % 0.37/0.62 (step @p56 :rule instantiate :premises (@p55) :args ((@list @t63))) % 0.37/0.62 (step @p57 :rule bool-double-not-elim :args (@t67)) % 0.37/0.62 (step @p58 :rule refl :args (@t69)) % 0.37/0.62 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t69 (not @t68)))) % 0.37/0.62 (step @p60 :rule cnf_or_neg :args (@t69 0)) % 0.37/0.62 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.37/0.62 (step @p62 :rule reordering :premises (@p61) :args ((or @t67 @t69))) % 0.37/0.62 (step @p63 :rule chain_m_resolution :premises (@p62 @p48) :args (@t67 @t70 @t71)) % 0.37/0.62 (step @p64 :rule cnf_or_pos :args (@t75)) % 0.37/0.62 (step @p65 :rule reordering :premises (@p64) :args ((or @t68 @t74 (not @t75)))) % 0.37/0.62 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p56) :args (@t74 @t76 (@list @t67 @t75))) % 0.37/0.62 (step @p67 :rule cnf_equiv_pos2 :args (@t74)) % 0.37/0.62 (step @p68 :rule reordering :premises (@p67) :args ((or @t65 @t78 @t77))) % 0.37/0.62 (assume-push @p202 @t64) % 0.37/0.62 (step @p70 :rule instantiate :premises (@p202) :args ((@list @t81 @t80))) % 0.37/0.62 (step-pop @p203 :rule scope :premises (@p70)) % 0.37/0.62 (step @p71 :rule process_scope :premises (@p203) :args (@t87)) % 0.37/0.62 (step @p73 :rule implies_elim :premises (@p71)) % 0.37/0.62 (step @p74 :rule quant-merge-prenex :args ((= (forall @t7 @t94) (forall (@list @t1 @t90) @t92)))) % 0.37/0.62 (step @p75 :rule alpha_equiv :args (@t95 (@list @t90) (@list @t2))) % 0.37/0.62 (step @p76 :rule refl :args (@t62)) % 0.37/0.62 (step @p77 :rule nary_cong :premises (@p76 @p75) :args (@t96)) % 0.37/0.62 (step @p78 :rule quant-miniscope-or :args ((= @t94 @t96))) % 0.37/0.62 (step @p79 :rule trans :premises (@p78 @p77)) % 0.37/0.62 (step @p80 :rule symm :premises (@p79)) % 0.37/0.62 (step @p81 :rule cong :premises (@p80) :args ((forall @t7 (or @t62 @t100)))) % 0.37/0.62 (step @p82 :rule trans :premises (@p81 @p74)) % 0.37/0.62 (step @p83 :rule bool-impl-elim :args (@t8 @t100)) % 0.37/0.62 (step @p84 :rule cong :premises (@p83) :args ((forall @t7 (=> @t8 @t100)))) % 0.37/0.62 (step @p85 :rule trans :premises (@p84 @p82)) % 0.37/0.62 (step @p86 :rule aci_norm :args ((= (or @t101 @t20) @t99))) % 0.37/0.62 (step @p87 :rule refl :args (@t20)) % 0.37/0.62 (step @p88 :rule aci_norm :args ((= (or @t98 (or @t97 (or @t89 @t88))) @t101))) % 0.37/0.62 (step @p89 :rule bool-and-de-morgan :args (@t24 @t22 true)) % 0.37/0.62 (step @p90 :rule refl :args (@t97)) % 0.37/0.62 (step @p91 :rule nary_cong :premises (@p90 @p89) :args ((or @t97 (not (and @t24 @t22))))) % 0.37/0.62 (step @p92 :rule bool-and-de-morgan :args (@t25 @t24 (and @t22))) % 0.37/0.62 (step @p93 :rule trans :premises (@p92 @p91)) % 0.37/0.62 (step @p94 :rule refl :args (@t98)) % 0.37/0.62 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t98 (not (and @t25 @t24 @t22))))) % 0.37/0.62 (step @p96 :rule bool-and-de-morgan :args (@t26 @t25 (and @t24 @t22))) % 0.37/0.62 (step @p97 :rule trans :premises (@p96 @p95)) % 0.37/0.62 (step @p98 :rule trans :premises (@p97 @p88)) % 0.37/0.62 (step @p99 :rule nary_cong :premises (@p98 @p87) :args ((or (not @t27) @t20))) % 0.37/0.62 (step @p100 :rule trans :premises (@p99 @p86)) % 0.37/0.62 (step @p101 :rule bool-impl-elim :args (@t27 @t20)) % 0.37/0.62 (step @p102 :rule trans :premises (@p101 @p100)) % 0.37/0.62 (step @p103 :rule cong :premises (@p102) :args (@t29)) % 0.37/0.62 (step @p104 :rule refl :args (@t30)) % 0.37/0.62 (step @p105 :rule cong :premises (@p104 @p103) :args (@t31)) % 0.37/0.62 (step @p106 :rule cong :premises (@p105) :args (@t33)) % 0.37/0.62 (step @p107 :rule cong :premises (@p42 @p106) :args (@t34)) % 0.37/0.62 (step @p108 :rule cong :premises (@p107) :args (@t35)) % 0.37/0.62 (step @p109 :rule trans :premises (@p108 @p85)) % 0.37/0.62 (step @p110 :rule eq_resolve :premises (@p7 @p109)) % 0.37/0.62 (step @p111 :rule instantiate :premises (@p110) :args ((@list @t63 @t72))) % 0.37/0.62 (step @p112 :rule cnf_or_pos :args (@t103)) % 0.37/0.62 (step @p113 :rule reordering :premises (@p112) :args ((or @t68 @t102 (not @t103)))) % 0.37/0.62 (step @p114 :rule chain_m_resolution :premises (@p113 @p63 @p111) :args (@t102 @t76 (@list @t67 @t103))) % 0.37/0.62 (step @p115 :rule cnf_equiv_pos2 :args (@t102)) % 0.37/0.62 (step @p116 :rule reordering :premises (@p115) :args ((or @t73 @t105 @t104))) % 0.37/0.62 (step @p117 :rule refl :args (@t107)) % 0.37/0.62 (step @p118 :rule bool-double-not-elim :args (@t79)) % 0.37/0.62 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or (not @t105) @t107))) % 0.37/0.62 (assume-push @p204 @t105) % 0.37/0.62 (step @p121 :rule skolemize :premises (@p204)) % 0.37/0.62 (step-pop @p205 :rule scope :premises (@p121)) % 0.37/0.62 (step @p122 :rule process_scope :premises (@p205) :args (@t107)) % 0.37/0.62 (step @p124 :rule implies_elim :premises (@p122)) % 0.37/0.62 (step @p125 :rule eq_resolve :premises (@p124 @p119)) % 0.37/0.62 (step @p126 :rule bool-double-not-elim :args (@t85)) % 0.37/0.62 (step @p127 :rule refl :args (@t106)) % 0.37/0.62 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or @t106 (not @t86)))) % 0.37/0.62 (step @p129 :rule cnf_or_neg :args (@t106 2)) % 0.37/0.62 (step @p130 :rule eq_resolve :premises (@p129 @p128)) % 0.37/0.62 (step @p131 :rule reordering :premises (@p130) :args ((or @t85 @t106))) % 0.37/0.62 (step @p132 :rule bool-double-not-elim :args (@t83)) % 0.37/0.62 (step @p133 :rule nary_cong :premises (@p127 @p132) :args ((or @t106 (not @t84)))) % 0.37/0.62 (step @p134 :rule cnf_or_neg :args (@t106 3)) % 0.37/0.62 (step @p135 :rule eq_resolve :premises (@p134 @p133)) % 0.37/0.62 (step @p136 :rule reordering :premises (@p135) :args ((or @t83 @t106))) % 0.37/0.62 (step @p137 :rule cnf_or_neg :args (@t106 4)) % 0.37/0.62 (step @p138 :rule cnf_or_pos :args (@t87)) % 0.37/0.62 (step @p139 :rule reordering :premises (@p138) :args ((or @t86 @t84 @t82 (not @t87)))) % 0.37/0.62 (step @p140 :rule chain_m_resolution :premises (@p139 @p137 @p136 @p131 @p125 @p116 @p114 @p73 @p68 @p66 @p52 @p50) :args (@t65 (@list true false false true true false false true false false true) (@list @t82 @t83 @t85 @t106 @t79 @t102 @t87 @t73 @t74 @t64 @t66))) % 0.37/0.62 (step @p141 :rule cnf_equiv_neg2 :args (@t66)) % 0.37/0.62 (step @p142 :rule chain_m_resolution :premises (@p141 @p50 @p140) :args (@t108 (@list true false) (@list @t66 @t65))) % 0.37/0.62 (step @p143 :rule refl :args (@t117)) % 0.37/0.62 (step @p144 :rule bool-double-not-elim :args (@t64)) % 0.37/0.62 (step @p145 :rule nary_cong :premises (@p144 @p143) :args ((or (not @t108) @t117))) % 0.37/0.62 (assume-push @p206 @t108) % 0.37/0.62 (step @p147 :rule skolemize :premises (@p206)) % 0.37/0.62 (step-pop @p207 :rule scope :premises (@p147)) % 0.37/0.62 (step @p148 :rule process_scope :premises (@p207) :args (@t117)) % 0.37/0.62 (step @p150 :rule implies_elim :premises (@p148)) % 0.37/0.62 (step @p151 :rule eq_resolve :premises (@p150 @p145)) % 0.37/0.62 (step @p152 :rule chain_m_resolution :premises (@p151 @p142) :args (@t117 @t70 (@list @t64))) % 0.37/0.62 (step @p153 :rule bool-double-not-elim :args (@t114)) % 0.37/0.62 (step @p154 :rule refl :args (@t116)) % 0.37/0.62 (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((or @t116 (not @t115)))) % 0.37/0.62 (step @p156 :rule cnf_or_neg :args (@t116 0)) % 0.37/0.62 (step @p157 :rule eq_resolve :premises (@p156 @p155)) % 0.37/0.62 (step @p158 :rule reordering :premises (@p157) :args ((or @t114 @t116))) % 0.37/0.62 (step @p159 :rule chain_m_resolution :premises (@p158 @p152) :args (@t114 @t70 @t118)) % 0.37/0.62 (step @p160 :rule bool-double-not-elim :args (@t112)) % 0.37/0.62 (step @p161 :rule nary_cong :premises (@p154 @p160) :args ((or @t116 (not @t113)))) % 0.37/0.62 (step @p162 :rule cnf_or_neg :args (@t116 1)) % 0.37/0.62 (step @p163 :rule eq_resolve :premises (@p162 @p161)) % 0.37/0.62 (step @p164 :rule reordering :premises (@p163) :args ((or @t112 @t116))) % 0.37/0.62 (step @p165 :rule chain_m_resolution :premises (@p164 @p152) :args (@t112 @t70 @t118)) % 0.37/0.62 (step @p166 :rule cnf_or_neg :args (@t116 2)) % 0.37/0.62 (step @p167 :rule chain_m_resolution :premises (@p166 @p152) :args ((not @t111) @t70 @t118)) % 0.37/0.62 (step @p168 :rule cnf_equiv_pos1 :args (@t74)) % 0.37/0.62 (step @p169 :rule reordering :premises (@p168) :args ((or (not @t65) @t73 @t77))) % 0.37/0.62 (step @p170 :rule chain_m_resolution :premises (@p169 @p140 @p66) :args (@t73 @t76 (@list @t65 @t74))) % 0.37/0.62 (step @p171 :rule cnf_equiv_pos1 :args (@t102)) % 0.37/0.62 (step @p172 :rule reordering :premises (@p171) :args ((or @t78 @t79 @t104))) % 0.37/0.63 (step @p173 :rule chain_m_resolution :premises (@p172 @p170 @p114) :args (@t79 @t76 (@list @t73 @t102))) % 0.37/0.63 (assume-push @p208 @t79) % 0.37/0.63 (step @p175 :rule instantiate :premises (@p208) :args ((@list @t110 @t109))) % 0.37/0.63 (step-pop @p209 :rule scope :premises (@p175)) % 0.37/0.63 (step @p176 :rule process_scope :premises (@p209) :args (@t123)) % 0.37/0.63 (step @p178 :rule implies_elim :premises (@p176)) % 0.37/0.63 (step @p179 :rule chain_m_resolution :premises (@p178 @p173) :args (@t123 @t124 (@list @t79))) % 0.37/0.63 (step @p180 :rule aci_norm :args ((= (or @t126 (or @t125 @t53)) (or @t126 @t125 @t53)))) % 0.37/0.63 (step @p181 :rule bool-impl-elim :args (@t54 @t53)) % 0.37/0.63 (step @p182 :rule refl :args (@t126)) % 0.37/0.63 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((or @t126 @t55))) % 0.37/0.63 (step @p184 :rule trans :premises (@p183 @p180)) % 0.37/0.63 (step @p185 :rule bool-impl-elim :args (@t56 @t55)) % 0.37/0.63 (step @p186 :rule trans :premises (@p185 @p184)) % 0.37/0.63 (step @p187 :rule cong :premises (@p186) :args (@t57)) % 0.37/0.63 (step @p188 :rule eq_resolve :premises (@p26 @p187)) % 0.37/0.63 (step @p189 :rule instantiate :premises (@p188) :args ((@list @t110 @t109 @t63))) % 0.37/0.63 (step @p190 :rule cnf_or_pos :args (@t128)) % 0.37/0.63 (step @p191 :rule reordering :premises (@p190) :args ((or @t68 @t115 @t127 (not @t128)))) % 0.37/0.63 (step @p192 :rule chain_m_resolution :premises (@p191 @p63 @p159 @p189) :args (@t127 (@list false false false) (@list @t67 @t114 @t128))) % 0.37/0.63 (step @p193 :rule cnf_and_pos :args (@t127 0)) % 0.37/0.63 (step @p194 :rule reordering :premises (@p193) :args ((or @t121 @t129))) % 0.37/0.63 (step @p195 :rule chain_m_resolution :premises (@p194 @p192) :args (@t121 @t124 @t130)) % 0.37/0.63 (step @p196 :rule cnf_and_pos :args (@t127 1)) % 0.37/0.63 (step @p197 :rule reordering :premises (@p196) :args ((or @t119 @t129))) % 0.37/0.63 (step @p198 :rule chain_m_resolution :premises (@p197 @p192) :args (@t119 @t124 @t130)) % 0.37/0.63 (step @p199 :rule cnf_or_pos :args (@t123)) % 0.37/0.63 (step @p200 :rule reordering :premises (@p199) :args ((or @t115 @t113 @t111 @t122 @t120 (not @t123)))) % 0.37/0.63 (step @p201 false :rule chain_m_resolution :premises (@p200 @p198 @p195 @p179 @p167 @p165 @p159) :args (false (@list false false false true false false) (@list @t119 @t121 @t123 @t111 @t112 @t114))) % 0.37/0.63 ) % 0.37/0.63 % SZS output end Proof % 0.37/0.63 % cvc5 exiting %------------------------------------------------------------------------------