%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET358+4 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:47:50 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET358+4 : TPTP v9.2.1. Released v2.2.0. % 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 : n019.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 15:31:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.empty_set $$unsorted) % 0.38/0.59 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "X" $$unsorted)) % 0.38/0.59 (define @t3 () (tptp.member @t2 @t1)) % 0.38/0.59 (define @t4 () (@var "A" $$unsorted)) % 0.38/0.59 (define @t5 () (tptp.member @t2 @t4)) % 0.38/0.59 (define @t6 () (@list @t2)) % 0.38/0.59 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.38/0.59 (define @t8 () (tptp.subset @t4 @t1)) % 0.38/0.59 (define @t9 () (= @t8 @t7)) % 0.38/0.59 (define @t10 () (@list @t4 @t1)) % 0.38/0.59 (define @t11 () (forall @t10 @t9)) % 0.38/0.59 (define @t12 () (@list @t2 @t4)) % 0.38/0.59 (define @t13 () (@list @t2 @t4 @t1)) % 0.38/0.59 (define @t14 () (tptp.union @t4 @t1)) % 0.38/0.59 (define @t15 () (@var "E" $$unsorted)) % 0.38/0.59 (define @t16 () (= @t2 @t4)) % 0.38/0.59 (define @t17 () (@var "Y" $$unsorted)) % 0.38/0.59 (define @t18 () (tptp.member @t2 @t17)) % 0.38/0.59 (define @t19 () (tptp.member @t17 @t4)) % 0.38/0.59 (define @t20 () (and @t19 @t18)) % 0.38/0.59 (define @t21 () (@list @t17)) % 0.38/0.59 (define @t22 () (exists @t21 @t20)) % 0.38/0.59 (define @t23 () (tptp.sum @t4)) % 0.38/0.59 (define @t24 () (tptp.member @t2 @t23)) % 0.38/0.59 (define @t25 () (= @t24 @t22)) % 0.38/0.59 (define @t26 () (forall @t12 @t25)) % 0.38/0.59 (define @t27 () (forall @t10 (tptp.equal_set (tptp.union @t23 (tptp.sum @t1)) (tptp.sum @t14)))) % 0.38/0.59 (define @t28 () (forall @t21 (not @t20))) % 0.38/0.59 (define @t29 () (not @t28)) % 0.38/0.59 (define @t30 () (@quantifiers_skolemize @t27 0)) % 0.38/0.59 (define @t31 () (@quantifiers_skolemize @t27 1)) % 0.38/0.59 (define @t32 () (tptp.sum @t31)) % 0.38/0.59 (define @t33 () (tptp.sum @t30)) % 0.38/0.59 (define @t34 () (tptp.union @t33 @t32)) % 0.38/0.59 (define @t35 () (tptp.member @t2 @t34)) % 0.38/0.59 (define @t36 () (tptp.union @t30 @t31)) % 0.38/0.59 (define @t37 () (tptp.sum @t36)) % 0.38/0.59 (define @t38 () (tptp.member @t2 @t37)) % 0.38/0.59 (define @t39 () (forall @t6 (or (not @t38) @t35))) % 0.38/0.59 (define @t40 () (@quantifiers_skolemize @t39 0)) % 0.38/0.59 (define @t41 () (@list @t34 @t37)) % 0.38/0.59 (define @t42 () (forall @t6 (or (not @t35) @t38))) % 0.38/0.59 (define @t43 () (@quantifiers_skolemize @t42 0)) % 0.38/0.59 (define @t44 () (tptp.member @t43 @t34)) % 0.38/0.59 (define @t45 () (tptp.member @t43 @t37)) % 0.38/0.59 (define @t46 () (not @t44)) % 0.38/0.59 (define @t47 () (or @t46 @t45)) % 0.38/0.59 (define @t48 () (tptp.member @t43 @t32)) % 0.38/0.59 (define @t49 () (tptp.member @t43 @t33)) % 0.38/0.59 (define @t50 () (or @t49 @t48)) % 0.38/0.59 (define @t51 () (= @t44 @t50)) % 0.38/0.59 (define @t52 () (not (tptp.member @t43 @t17))) % 0.38/0.59 (define @t53 () (not (tptp.member @t17 @t36))) % 0.38/0.59 (define @t54 () (forall @t21 (or @t53 @t52))) % 0.38/0.59 (define @t55 () (not @t54)) % 0.38/0.59 (define @t56 () (= @t45 @t55)) % 0.38/0.59 (define @t57 () (not @t56)) % 0.38/0.59 (define @t58 () (not (tptp.member @t17 @t30))) % 0.38/0.59 (define @t59 () (forall @t21 (or @t58 @t52))) % 0.38/0.59 (define @t60 () (@quantifiers_skolemize @t59 0)) % 0.38/0.59 (define @t61 () (tptp.member @t43 @t60)) % 0.38/0.59 (define @t62 () (not @t61)) % 0.38/0.59 (define @t63 () (tptp.member @t60 @t36)) % 0.38/0.59 (define @t64 () (not @t63)) % 0.38/0.59 (define @t65 () (or @t64 @t62)) % 0.38/0.59 (define @t66 () (not (tptp.member @t17 @t31))) % 0.38/0.59 (define @t67 () (forall @t21 (or @t66 @t52))) % 0.38/0.59 (define @t68 () (@quantifiers_skolemize @t67 0)) % 0.38/0.59 (define @t69 () (tptp.member @t43 @t68)) % 0.38/0.59 (define @t70 () (not @t69)) % 0.38/0.59 (define @t71 () (tptp.member @t68 @t36)) % 0.38/0.59 (define @t72 () (not @t71)) % 0.38/0.59 (define @t73 () (or @t72 @t70)) % 0.38/0.59 (define @t74 () (tptp.member @t60 @t30)) % 0.38/0.59 (define @t75 () (not @t74)) % 0.38/0.59 (define @t76 () (or @t75 @t62)) % 0.38/0.59 (define @t77 () (or @t74 (tptp.member @t60 @t31))) % 0.38/0.59 (define @t78 () (not @t65)) % 0.38/0.59 (define @t79 () (= @t63 @t77)) % 0.38/0.59 (define @t80 () (not @t76)) % 0.38/0.59 (define @t81 () (not @t59)) % 0.38/0.59 (define @t82 () (= @t49 @t81)) % 0.38/0.59 (define @t83 () (not @t67)) % 0.38/0.59 (define @t84 () (= @t48 @t83)) % 0.38/0.59 (define @t85 () (tptp.member @t68 @t31)) % 0.38/0.59 (define @t86 () (not @t85)) % 0.38/0.59 (define @t87 () (or @t86 @t70)) % 0.38/0.59 (define @t88 () (not @t87)) % 0.38/0.59 (define @t89 () (or (tptp.member @t68 @t30) @t85)) % 0.38/0.59 (define @t90 () (= @t71 @t89)) % 0.38/0.59 (define @t91 () (not @t47)) % 0.38/0.59 (define @t92 () (not @t42)) % 0.38/0.59 (define @t93 () (@list false)) % 0.38/0.59 (define @t94 () (tptp.subset @t34 @t37)) % 0.38/0.59 (define @t95 () (= @t94 @t42)) % 0.38/0.59 (define @t96 () (@list false false)) % 0.38/0.59 (define @t97 () (tptp.subset @t37 @t34)) % 0.38/0.59 (define @t98 () (and @t94 @t97)) % 0.38/0.59 (define @t99 () (tptp.equal_set @t34 @t37)) % 0.38/0.59 (define @t100 () (= @t99 @t98)) % 0.38/0.59 (define @t101 () (not @t98)) % 0.38/0.59 (define @t102 () (@list true false)) % 0.38/0.59 (define @t103 () (= @t97 @t39)) % 0.38/0.59 (define @t104 () (not @t39)) % 0.38/0.59 (define @t105 () (tptp.member @t40 @t34)) % 0.38/0.59 (define @t106 () (tptp.member @t40 @t37)) % 0.38/0.59 (define @t107 () (not @t106)) % 0.38/0.59 (define @t108 () (or @t107 @t105)) % 0.38/0.59 (define @t109 () (not @t108)) % 0.38/0.59 (define @t110 () (@list true)) % 0.38/0.59 (define @t111 () (@list @t108)) % 0.38/0.59 (define @t112 () (tptp.member @t40 @t32)) % 0.38/0.59 (define @t113 () (tptp.member @t40 @t33)) % 0.38/0.59 (define @t114 () (or @t113 @t112)) % 0.38/0.59 (define @t115 () (= @t105 @t114)) % 0.38/0.59 (define @t116 () (not @t114)) % 0.38/0.59 (define @t117 () (@list @t114)) % 0.38/0.59 (define @t118 () (not (tptp.member @t40 @t17))) % 0.38/0.59 (define @t119 () (forall @t21 (or @t58 @t118))) % 0.38/0.59 (define @t120 () (not @t119)) % 0.38/0.59 (define @t121 () (= @t113 @t120)) % 0.38/0.59 (define @t122 () (not @t121)) % 0.38/0.59 (define @t123 () (forall @t21 (or @t53 @t118))) % 0.38/0.59 (define @t124 () (@quantifiers_skolemize @t123 0)) % 0.38/0.59 (define @t125 () (not @t123)) % 0.38/0.59 (define @t126 () (= @t106 @t125)) % 0.38/0.59 (define @t127 () (tptp.member @t40 @t124)) % 0.38/0.59 (define @t128 () (not @t127)) % 0.38/0.59 (define @t129 () (tptp.member @t124 @t36)) % 0.38/0.59 (define @t130 () (not @t129)) % 0.38/0.59 (define @t131 () (or @t130 @t128)) % 0.38/0.59 (define @t132 () (not @t131)) % 0.38/0.59 (define @t133 () (@list @t131)) % 0.38/0.59 (define @t134 () (tptp.member @t124 @t31)) % 0.38/0.59 (define @t135 () (tptp.member @t124 @t30)) % 0.38/0.59 (define @t136 () (or @t135 @t134)) % 0.38/0.59 (define @t137 () (= @t129 @t136)) % 0.38/0.59 (define @t138 () (forall @t21 (or @t66 @t118))) % 0.38/0.59 (define @t139 () (not @t138)) % 0.38/0.59 (define @t140 () (= @t112 @t139)) % 0.38/0.59 (define @t141 () (not @t140)) % 0.38/0.59 (define @t142 () (@list @t124)) % 0.38/0.59 (define @t143 () (not @t134)) % 0.38/0.59 (define @t144 () (or @t143 @t128)) % 0.38/0.59 (define @t145 () (not @t135)) % 0.38/0.59 (define @t146 () (or @t145 @t128)) % 0.38/0.59 (define @t147 () (not @t146)) % 0.38/0.59 (assume @p1 @t11) % 0.38/0.59 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.38/0.59 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.38/0.59 (assume @p4 (forall @t13 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.38/0.59 (assume @p5 (forall @t13 (= (tptp.member @t2 @t14) (or @t5 @t3)))) % 0.38/0.59 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.38/0.59 (assume @p7 (forall (@list @t1 @t4 @t15) (= (tptp.member @t1 (tptp.difference @t15 @t4)) (and (tptp.member @t1 @t15) (not (tptp.member @t1 @t4)))))) % 0.38/0.59 (assume @p8 (forall @t12 (= (tptp.member @t2 (tptp.singleton @t4)) @t16))) % 0.38/0.59 (assume @p9 (forall @t13 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t16 (= @t2 @t1))))) % 0.38/0.59 (assume @p10 @t26) % 0.38/0.59 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t21 (=> @t19 @t18))))) % 0.38/0.59 (assume @p12 (not @t27)) % 0.38/0.59 (assume @p13 true) % 0.38/0.59 (step @p14 :rule bool-and-de-morgan :args (@t19 @t18 true)) % 0.38/0.59 (step @p15 :rule cong :premises (@p14) :args (@t28)) % 0.38/0.59 (step @p16 :rule cong :premises (@p15) :args (@t29)) % 0.38/0.59 (step @p17 :rule exists-elim :args ((= @t22 @t29))) % 0.38/0.59 (step @p18 :rule trans :premises (@p17 @p16)) % 0.38/0.59 (step @p19 :rule refl :args (@t24)) % 0.38/0.59 (step @p20 :rule cong :premises (@p19 @p18) :args (@t25)) % 0.38/0.59 (step @p21 :rule cong :premises (@p20) :args (@t26)) % 0.38/0.59 (step @p22 :rule eq_resolve :premises (@p10 @p21)) % 0.38/0.59 (step @p23 :rule instantiate :premises (@p22) :args ((@list @t40 @t30))) % 0.38/0.59 (step @p24 :rule instantiate :premises (@p5) :args ((@list @t40 @t33 @t32))) % 0.38/0.59 (step @p25 :rule bool-impl-elim :args (@t5 @t3)) % 0.38/0.59 (step @p26 :rule cong :premises (@p25) :args (@t7)) % 0.38/0.59 (step @p27 :rule refl :args (@t8)) % 0.38/0.59 (step @p28 :rule cong :premises (@p27 @p26) :args (@t9)) % 0.38/0.59 (step @p29 :rule cong :premises (@p28) :args (@t11)) % 0.38/0.59 (step @p30 :rule eq_resolve :premises (@p1 @p29)) % 0.38/0.59 (step @p31 :rule instantiate :premises (@p30) :args ((@list @t37 @t34))) % 0.38/0.59 (step @p32 :rule instantiate :premises (@p30) :args (@t41)) % 0.38/0.59 (step @p33 :rule bool-double-not-elim :args (@t44)) % 0.38/0.59 (step @p34 :rule refl :args (@t47)) % 0.38/0.59 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t47 (not @t46)))) % 0.38/0.59 (step @p36 :rule cnf_or_neg :args (@t47 0)) % 0.38/0.59 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 0.38/0.59 (step @p38 :rule reordering :premises (@p37) :args ((or @t44 @t47))) % 0.38/0.59 (step @p39 :rule cnf_or_neg :args (@t47 1)) % 0.38/0.59 (step @p40 :rule instantiate :premises (@p5) :args ((@list @t43 @t33 @t32))) % 0.38/0.59 (step @p41 :rule cnf_equiv_pos1 :args (@t51)) % 0.38/0.59 (step @p42 :rule reordering :premises (@p41) :args ((or @t46 @t50 (not @t51)))) % 0.38/0.59 (step @p43 :rule instantiate :premises (@p22) :args ((@list @t43 @t36))) % 0.38/0.59 (step @p44 :rule bool-double-not-elim :args (@t54)) % 0.38/0.59 (step @p45 :rule refl :args (@t45)) % 0.38/0.59 (step @p46 :rule refl :args (@t57)) % 0.38/0.59 (step @p47 :rule nary_cong :premises (@p46 @p45 @p44) :args ((or @t57 @t45 (not @t55)))) % 0.38/0.59 (step @p48 :rule cnf_equiv_pos2 :args (@t56)) % 0.38/0.59 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 0.38/0.59 (step @p50 :rule reordering :premises (@p49) :args ((or @t45 @t54 @t57))) % 0.38/0.59 (assume-push @p243 @t54) % 0.38/0.59 (step @p52 :rule instantiate :premises (@p243) :args ((@list @t60))) % 0.38/0.59 (step-pop @p244 :rule scope :premises (@p52)) % 0.38/0.59 (step @p53 :rule process_scope :premises (@p244) :args (@t65)) % 0.38/0.59 (step @p55 :rule implies_elim :premises (@p53)) % 0.38/0.59 (assume-push @p245 @t54) % 0.38/0.59 (step @p57 :rule instantiate :premises (@p245) :args ((@list @t68))) % 0.38/0.59 (step-pop @p246 :rule scope :premises (@p57)) % 0.38/0.59 (step @p58 :rule process_scope :premises (@p246) :args (@t73)) % 0.38/0.59 (step @p60 :rule implies_elim :premises (@p58)) % 0.38/0.59 (step @p61 :rule bool-double-not-elim :args (@t74)) % 0.38/0.59 (step @p62 :rule refl :args (@t76)) % 0.38/0.59 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t76 (not @t75)))) % 0.38/0.59 (step @p64 :rule cnf_or_neg :args (@t76 0)) % 0.38/0.59 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.38/0.59 (step @p66 :rule reordering :premises (@p65) :args ((or @t74 @t76))) % 0.38/0.59 (step @p67 :rule bool-double-not-elim :args (@t61)) % 0.38/0.59 (step @p68 :rule nary_cong :premises (@p62 @p67) :args ((or @t76 (not @t62)))) % 0.38/0.59 (step @p69 :rule cnf_or_neg :args (@t76 1)) % 0.38/0.59 (step @p70 :rule eq_resolve :premises (@p69 @p68)) % 0.38/0.59 (step @p71 :rule reordering :premises (@p70) :args ((or @t61 @t76))) % 0.38/0.59 (step @p72 :rule cnf_or_neg :args (@t77 0)) % 0.38/0.59 (step @p73 :rule reordering :premises (@p72) :args ((or @t75 @t77))) % 0.38/0.59 (step @p74 :rule cnf_or_pos :args (@t65)) % 0.38/0.59 (step @p75 :rule reordering :premises (@p74) :args ((or @t62 @t64 @t78))) % 0.38/0.59 (step @p76 :rule instantiate :premises (@p5) :args ((@list @t60 @t30 @t31))) % 0.38/0.59 (step @p77 :rule cnf_equiv_pos2 :args (@t79)) % 0.38/0.59 (step @p78 :rule reordering :premises (@p77) :args ((or @t63 (not @t77) (not @t79)))) % 0.38/0.59 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p75 @p73 @p71 @p66) :args ((or @t76 @t78) (@list false true false false false) (@list @t79 @t63 @t77 @t61 @t74))) % 0.38/0.59 (step @p80 :rule refl :args (@t80)) % 0.38/0.59 (step @p81 :rule bool-double-not-elim :args (@t59)) % 0.38/0.59 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or (not @t81) @t80))) % 0.38/0.59 (assume-push @p247 @t81) % 0.38/0.59 (step @p84 :rule skolemize :premises (@p247)) % 0.38/0.59 (step-pop @p248 :rule scope :premises (@p84)) % 0.38/0.59 (step @p85 :rule process_scope :premises (@p248) :args (@t80)) % 0.38/0.59 (step @p87 :rule implies_elim :premises (@p85)) % 0.38/0.59 (step @p88 :rule eq_resolve :premises (@p87 @p82)) % 0.38/0.59 (step @p89 :rule instantiate :premises (@p22) :args ((@list @t43 @t30))) % 0.38/0.59 (step @p90 :rule cnf_equiv_pos1 :args (@t82)) % 0.38/0.59 (step @p91 :rule reordering :premises (@p90) :args ((or (not @t49) @t81 (not @t82)))) % 0.38/0.59 (step @p92 :rule cnf_or_pos :args (@t50)) % 0.38/0.59 (step @p93 :rule reordering :premises (@p92) :args ((or @t49 @t48 (not @t50)))) % 0.38/0.59 (step @p94 :rule instantiate :premises (@p22) :args ((@list @t43 @t31))) % 0.38/0.59 (step @p95 :rule cnf_equiv_pos1 :args (@t84)) % 0.38/0.59 (step @p96 :rule reordering :premises (@p95) :args ((or (not @t48) @t83 (not @t84)))) % 0.38/0.59 (step @p97 :rule refl :args (@t88)) % 0.38/0.59 (step @p98 :rule bool-double-not-elim :args (@t67)) % 0.38/0.59 (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or (not @t83) @t88))) % 0.38/0.59 (assume-push @p249 @t83) % 0.38/0.59 (step @p101 :rule skolemize :premises (@p249)) % 0.38/0.59 (step-pop @p250 :rule scope :premises (@p101)) % 0.38/0.59 (step @p102 :rule process_scope :premises (@p250) :args (@t88)) % 0.38/0.59 (step @p104 :rule implies_elim :premises (@p102)) % 0.38/0.59 (step @p105 :rule eq_resolve :premises (@p104 @p99)) % 0.38/0.59 (step @p106 :rule bool-double-not-elim :args (@t85)) % 0.38/0.59 (step @p107 :rule refl :args (@t87)) % 0.38/0.59 (step @p108 :rule nary_cong :premises (@p107 @p106) :args ((or @t87 (not @t86)))) % 0.38/0.59 (step @p109 :rule cnf_or_neg :args (@t87 0)) % 0.38/0.59 (step @p110 :rule eq_resolve :premises (@p109 @p108)) % 0.38/0.59 (step @p111 :rule reordering :premises (@p110) :args ((or @t85 @t87))) % 0.38/0.59 (step @p112 :rule bool-double-not-elim :args (@t69)) % 0.38/0.59 (step @p113 :rule nary_cong :premises (@p107 @p112) :args ((or @t87 (not @t70)))) % 0.38/0.59 (step @p114 :rule cnf_or_neg :args (@t87 1)) % 0.38/0.59 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 0.38/0.59 (step @p116 :rule reordering :premises (@p115) :args ((or @t69 @t87))) % 0.38/0.59 (step @p117 :rule cnf_or_neg :args (@t89 1)) % 0.38/0.59 (step @p118 :rule reordering :premises (@p117) :args ((or @t86 @t89))) % 0.38/0.59 (step @p119 :rule cnf_or_pos :args (@t73)) % 0.38/0.59 (step @p120 :rule reordering :premises (@p119) :args ((or @t70 @t72 (not @t73)))) % 0.38/0.59 (step @p121 :rule instantiate :premises (@p5) :args ((@list @t68 @t30 @t31))) % 0.38/0.59 (step @p122 :rule cnf_equiv_pos2 :args (@t90)) % 0.38/0.59 (step @p123 :rule reordering :premises (@p122) :args ((or @t71 (not @t89) (not @t90)))) % 0.38/0.59 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p120 @p118 @p116 @p111 @p105 @p96 @p94 @p93 @p91 @p89 @p88 @p79 @p60 @p55 @p50 @p43 @p42 @p40 @p39 @p38) :args (@t47 (@list false true false false false true true false false true false false false false false false false false false true false) (@list @t90 @t71 @t89 @t69 @t85 @t87 @t67 @t84 @t48 @t49 @t82 @t59 @t76 @t73 @t65 @t54 @t56 @t50 @t51 @t45 @t44))) % 0.38/0.59 (step @p125 :rule refl :args (@t91)) % 0.38/0.59 (step @p126 :rule bool-double-not-elim :args (@t42)) % 0.38/0.59 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or (not @t92) @t91))) % 0.38/0.59 (assume-push @p251 @t92) % 0.38/0.59 (step @p129 :rule skolemize :premises (@p251)) % 0.38/0.59 (step-pop @p252 :rule scope :premises (@p129)) % 0.38/0.59 (step @p130 :rule process_scope :premises (@p252) :args (@t91)) % 0.38/0.59 (step @p132 :rule implies_elim :premises (@p130)) % 0.38/0.59 (step @p133 :rule eq_resolve :premises (@p132 @p127)) % 0.38/0.59 (step @p134 :rule chain_m_resolution :premises (@p133 @p124) :args (@t42 @t93 (@list @t47))) % 0.38/0.59 (step @p135 :rule cnf_equiv_pos2 :args (@t95)) % 0.38/0.59 (step @p136 :rule reordering :premises (@p135) :args ((or @t94 @t92 (not @t95)))) % 0.38/0.59 (step @p137 :rule chain_m_resolution :premises (@p136 @p134 @p32) :args (@t94 @t96 (@list @t42 @t95))) % 0.38/0.59 (step @p138 :rule instantiate :premises (@p2) :args (@t41)) % 0.38/0.59 (step @p139 :rule skolemize :premises (@p12)) % 0.38/0.59 (step @p140 :rule cnf_equiv_pos2 :args (@t100)) % 0.38/0.59 (step @p141 :rule reordering :premises (@p140) :args ((or @t99 @t101 (not @t100)))) % 0.38/0.59 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p138) :args (@t101 @t102 (@list @t99 @t100))) % 0.38/0.59 (step @p143 :rule cnf_and_neg :args (@t98)) % 0.38/0.59 (step @p144 :rule chain_m_resolution :premises (@p143 @p142 @p137) :args ((not @t97) @t102 (@list @t98 @t94))) % 0.38/0.59 (step @p145 :rule cnf_equiv_pos2 :args (@t103)) % 0.38/0.59 (step @p146 :rule reordering :premises (@p145) :args ((or @t97 @t104 (not @t103)))) % 0.38/0.59 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p31) :args (@t104 @t102 (@list @t97 @t103))) % 0.38/0.59 (step @p148 :rule refl :args (@t109)) % 0.38/0.59 (step @p149 :rule bool-double-not-elim :args (@t39)) % 0.38/0.59 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or (not @t104) @t109))) % 0.38/0.59 (assume-push @p253 @t104) % 0.38/0.59 (step @p152 :rule skolemize :premises (@p253)) % 0.38/0.59 (step-pop @p254 :rule scope :premises (@p152)) % 0.38/0.59 (step @p153 :rule process_scope :premises (@p254) :args (@t109)) % 0.38/0.59 (step @p155 :rule implies_elim :premises (@p153)) % 0.38/0.59 (step @p156 :rule eq_resolve :premises (@p155 @p150)) % 0.38/0.59 (step @p157 :rule chain_m_resolution :premises (@p156 @p147) :args (@t109 @t110 (@list @t39))) % 0.38/0.59 (step @p158 :rule cnf_or_neg :args (@t108 1)) % 0.38/0.59 (step @p159 :rule chain_m_resolution :premises (@p158 @p157) :args ((not @t105) @t110 @t111)) % 0.38/0.59 (step @p160 :rule cnf_equiv_pos2 :args (@t115)) % 0.38/0.59 (step @p161 :rule reordering :premises (@p160) :args ((or @t105 @t116 (not @t115)))) % 0.38/0.59 (step @p162 :rule chain_m_resolution :premises (@p161 @p159 @p24) :args (@t116 @t102 (@list @t105 @t115))) % 0.38/0.59 (step @p163 :rule cnf_or_neg :args (@t114 0)) % 0.38/0.59 (step @p164 :rule chain_m_resolution :premises (@p163 @p162) :args ((not @t113) @t110 @t117)) % 0.38/0.59 (step @p165 :rule bool-double-not-elim :args (@t119)) % 0.38/0.59 (step @p166 :rule refl :args (@t113)) % 0.38/0.59 (step @p167 :rule refl :args (@t122)) % 0.38/0.59 (step @p168 :rule nary_cong :premises (@p167 @p166 @p165) :args ((or @t122 @t113 (not @t120)))) % 0.38/0.59 (step @p169 :rule cnf_equiv_pos2 :args (@t121)) % 0.38/0.59 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 0.38/0.59 (step @p171 :rule reordering :premises (@p170) :args ((or @t113 @t119 @t122))) % 0.38/0.59 (step @p172 :rule chain_m_resolution :premises (@p171 @p164 @p23) :args (@t119 @t102 (@list @t113 @t121))) % 0.38/0.59 (step @p173 :rule instantiate :premises (@p5) :args ((@list @t124 @t30 @t31))) % 0.38/0.59 (step @p174 :rule instantiate :premises (@p22) :args ((@list @t40 @t36))) % 0.38/0.59 (step @p175 :rule bool-double-not-elim :args (@t106)) % 0.38/0.59 (step @p176 :rule refl :args (@t108)) % 0.38/0.59 (step @p177 :rule nary_cong :premises (@p176 @p175) :args ((or @t108 (not @t107)))) % 0.38/0.59 (step @p178 :rule cnf_or_neg :args (@t108 0)) % 0.38/0.59 (step @p179 :rule eq_resolve :premises (@p178 @p177)) % 0.38/0.59 (step @p180 :rule reordering :premises (@p179) :args ((or @t106 @t108))) % 0.38/0.59 (step @p181 :rule chain_m_resolution :premises (@p180 @p157) :args (@t106 @t110 @t111)) % 0.38/0.59 (step @p182 :rule cnf_equiv_pos1 :args (@t126)) % 0.38/0.59 (step @p183 :rule reordering :premises (@p182) :args ((or @t107 @t125 (not @t126)))) % 0.38/0.59 (step @p184 :rule chain_m_resolution :premises (@p183 @p181 @p174) :args (@t125 @t96 (@list @t106 @t126))) % 0.38/0.59 (step @p185 :rule refl :args (@t132)) % 0.38/0.59 (step @p186 :rule bool-double-not-elim :args (@t123)) % 0.38/0.59 (step @p187 :rule nary_cong :premises (@p186 @p185) :args ((or (not @t125) @t132))) % 0.38/0.59 (assume-push @p255 @t125) % 0.38/0.59 (step @p189 :rule skolemize :premises (@p255)) % 0.38/0.59 (step-pop @p256 :rule scope :premises (@p189)) % 0.38/0.59 (step @p190 :rule process_scope :premises (@p256) :args (@t132)) % 0.38/0.59 (step @p192 :rule implies_elim :premises (@p190)) % 0.38/0.59 (step @p193 :rule eq_resolve :premises (@p192 @p187)) % 0.38/0.59 (step @p194 :rule chain_m_resolution :premises (@p193 @p184) :args (@t132 @t110 (@list @t123))) % 0.38/0.59 (step @p195 :rule bool-double-not-elim :args (@t129)) % 0.38/0.59 (step @p196 :rule refl :args (@t131)) % 0.38/0.59 (step @p197 :rule nary_cong :premises (@p196 @p195) :args ((or @t131 (not @t130)))) % 0.38/0.59 (step @p198 :rule cnf_or_neg :args (@t131 0)) % 0.38/0.59 (step @p199 :rule eq_resolve :premises (@p198 @p197)) % 0.38/0.59 (step @p200 :rule reordering :premises (@p199) :args ((or @t129 @t131))) % 0.38/0.59 (step @p201 :rule chain_m_resolution :premises (@p200 @p194) :args (@t129 @t110 @t133)) % 0.38/0.59 (step @p202 :rule cnf_equiv_pos1 :args (@t137)) % 0.38/0.59 (step @p203 :rule reordering :premises (@p202) :args ((or @t130 @t136 (not @t137)))) % 0.38/0.59 (step @p204 :rule chain_m_resolution :premises (@p203 @p201 @p173) :args (@t136 @t96 (@list @t129 @t137))) % 0.38/0.59 (step @p205 :rule instantiate :premises (@p22) :args ((@list @t40 @t31))) % 0.38/0.59 (step @p206 :rule cnf_or_neg :args (@t114 1)) % 0.38/0.59 (step @p207 :rule chain_m_resolution :premises (@p206 @p162) :args ((not @t112) @t110 @t117)) % 0.38/0.59 (step @p208 :rule bool-double-not-elim :args (@t138)) % 0.38/0.59 (step @p209 :rule refl :args (@t112)) % 0.38/0.59 (step @p210 :rule refl :args (@t141)) % 0.38/0.59 (step @p211 :rule nary_cong :premises (@p210 @p209 @p208) :args ((or @t141 @t112 (not @t139)))) % 0.38/0.59 (step @p212 :rule cnf_equiv_pos2 :args (@t140)) % 0.38/0.59 (step @p213 :rule eq_resolve :premises (@p212 @p211)) % 0.38/0.59 (step @p214 :rule reordering :premises (@p213) :args ((or @t112 @t138 @t141))) % 0.38/0.59 (step @p215 :rule chain_m_resolution :premises (@p214 @p207 @p205) :args (@t138 @t102 (@list @t112 @t140))) % 0.38/0.59 (assume-push @p257 @t138) % 0.38/0.59 (step @p217 :rule instantiate :premises (@p257) :args (@t142)) % 0.38/0.59 (step-pop @p258 :rule scope :premises (@p217)) % 0.38/0.59 (step @p218 :rule process_scope :premises (@p258) :args (@t144)) % 0.38/0.59 (step @p220 :rule implies_elim :premises (@p218)) % 0.38/0.59 (step @p221 :rule chain_m_resolution :premises (@p220 @p215) :args (@t144 @t93 (@list @t138))) % 0.38/0.59 (step @p222 :rule bool-double-not-elim :args (@t127)) % 0.38/0.59 (step @p223 :rule nary_cong :premises (@p196 @p222) :args ((or @t131 (not @t128)))) % 0.38/0.59 (step @p224 :rule cnf_or_neg :args (@t131 1)) % 0.38/0.59 (step @p225 :rule eq_resolve :premises (@p224 @p223)) % 0.38/0.59 (step @p226 :rule reordering :premises (@p225) :args ((or @t127 @t131))) % 0.38/0.59 (step @p227 :rule chain_m_resolution :premises (@p226 @p194) :args (@t127 @t110 @t133)) % 0.38/0.59 (step @p228 :rule cnf_or_pos :args (@t144)) % 0.38/0.59 (step @p229 :rule reordering :premises (@p228) :args ((or @t128 @t143 (not @t144)))) % 0.38/0.59 (step @p230 :rule chain_m_resolution :premises (@p229 @p227 @p221) :args (@t143 @t96 (@list @t127 @t144))) % 0.38/0.59 (step @p231 :rule cnf_or_pos :args (@t136)) % 0.38/0.59 (step @p232 :rule reordering :premises (@p231) :args ((or @t135 @t134 (not @t136)))) % 0.38/0.59 (step @p233 :rule chain_m_resolution :premises (@p232 @p230 @p204) :args (@t135 @t102 (@list @t134 @t136))) % 0.38/0.59 (step @p234 :rule cnf_or_pos :args (@t146)) % 0.38/0.59 (step @p235 :rule reordering :premises (@p234) :args ((or @t128 @t145 @t147))) % 0.38/0.59 (step @p236 :rule chain_m_resolution :premises (@p235 @p227 @p233) :args (@t147 @t96 (@list @t127 @t135))) % 0.38/0.59 (assume-push @p259 @t119) % 0.38/0.59 (step @p238 :rule instantiate :premises (@p259) :args (@t142)) % 0.38/0.59 (step-pop @p260 :rule scope :premises (@p238)) % 0.38/0.59 (step @p239 :rule process_scope :premises (@p260) :args (@t146)) % 0.38/0.59 (step @p241 :rule implies_elim :premises (@p239)) % 0.38/0.59 (step @p242 false :rule chain_m_resolution :premises (@p241 @p236 @p172) :args (false @t102 (@list @t146 @t119))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------