%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET144+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:47:30 AM UTC 2026 % Result : Theorem 1.02s 1.25s % Output : Proof 1.02s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SET144+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.36 % Computer : n010.cluster.edu % 0.16/0.36 % Model : x86_64 x86_64 % 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.36 % Memory : 8042.1875MB % 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.36 % CPULimit : 300 % 0.16/0.36 % WCLimit : 300 % 0.16/0.36 % DateTime : Tue Jun 2 15:02:55 EDT 2026 % 0.16/0.36 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 1.02/1.25 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.02/1.25 % SZS status Theorem % 1.02/1.25 % SZS output start Proof % 1.02/1.25 ( % 1.02/1.25 (declare-sort $$unsorted 0) % 1.02/1.25 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.25 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.25 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.02/1.25 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 1.02/1.25 (define @t1 () (@var "C" $$unsorted)) % 1.02/1.25 (define @t2 () (@var "D" $$unsorted)) % 1.02/1.25 (define @t3 () (tptp.member @t2 @t1)) % 1.02/1.25 (define @t4 () (@var "B" $$unsorted)) % 1.02/1.25 (define @t5 () (tptp.member @t2 @t4)) % 1.02/1.25 (define @t6 () (tptp.union @t4 @t1)) % 1.02/1.25 (define @t7 () (@list @t4 @t1 @t2)) % 1.02/1.25 (define @t8 () (tptp.intersection @t4 @t1)) % 1.02/1.25 (define @t9 () (@list @t2)) % 1.02/1.25 (define @t10 () (forall @t9 (=> @t5 @t3))) % 1.02/1.25 (define @t11 () (tptp.subset @t4 @t1)) % 1.02/1.25 (define @t12 () (= @t11 @t10)) % 1.02/1.25 (define @t13 () (@list @t4 @t1)) % 1.02/1.25 (define @t14 () (forall @t13 @t12)) % 1.02/1.25 (define @t15 () (= @t4 @t1)) % 1.02/1.25 (define @t16 () (forall @t13 (= @t15 (forall @t9 (= @t5 @t3))))) % 1.02/1.25 (define @t17 () (= (tptp.union @t4 (tptp.intersection @t2 @t1)) (tptp.intersection (tptp.union @t4 @t2) @t1))) % 1.02/1.25 (define @t18 () (forall @t7 (=> @t11 @t17))) % 1.02/1.25 (define @t19 () (not @t18)) % 1.02/1.25 (define @t20 () (forall @t7 (or (not @t11) @t17))) % 1.02/1.25 (define @t21 () (@quantifiers_skolemize @t20 1)) % 1.02/1.25 (define @t22 () (@quantifiers_skolemize @t20 2)) % 1.02/1.25 (define @t23 () (tptp.intersection @t22 @t21)) % 1.02/1.25 (define @t24 () (@quantifiers_skolemize @t20 0)) % 1.02/1.25 (define @t25 () (tptp.union @t24 @t23)) % 1.02/1.25 (define @t26 () (tptp.member @t2 @t25)) % 1.02/1.25 (define @t27 () (tptp.union @t24 @t22)) % 1.02/1.25 (define @t28 () (tptp.intersection @t27 @t21)) % 1.02/1.25 (define @t29 () (tptp.member @t2 @t28)) % 1.02/1.25 (define @t30 () (forall @t9 (= @t29 @t26))) % 1.02/1.25 (define @t31 () (@quantifiers_skolemize @t30 0)) % 1.02/1.25 (define @t32 () (= (= @t28 @t25) @t30)) % 1.02/1.25 (define @t33 () (= @t25 @t28)) % 1.02/1.25 (define @t34 () (= @t33 @t30)) % 1.02/1.25 (define @t35 () (@list false)) % 1.02/1.25 (define @t36 () (tptp.subset @t24 @t21)) % 1.02/1.25 (define @t37 () (not @t36)) % 1.02/1.25 (define @t38 () (or @t37 @t33)) % 1.02/1.25 (define @t39 () (@list true)) % 1.02/1.25 (define @t40 () (@list @t38)) % 1.02/1.25 (define @t41 () (not @t30)) % 1.02/1.25 (define @t42 () (@list true false)) % 1.02/1.25 (define @t43 () (tptp.member @t31 @t25)) % 1.02/1.25 (define @t44 () (tptp.member @t31 @t28)) % 1.02/1.25 (define @t45 () (= @t44 @t43)) % 1.02/1.25 (define @t46 () (tptp.member @t31 @t21)) % 1.02/1.25 (define @t47 () (tptp.member @t31 @t27)) % 1.02/1.25 (define @t48 () (and @t47 @t46)) % 1.02/1.25 (define @t49 () (= @t44 @t48)) % 1.02/1.25 (define @t50 () (not @t49)) % 1.02/1.25 (define @t51 () (not @t44)) % 1.02/1.25 (define @t52 () (tptp.member @t31 @t23)) % 1.02/1.25 (define @t53 () (tptp.member @t31 @t24)) % 1.02/1.25 (define @t54 () (or @t53 @t52)) % 1.02/1.25 (define @t55 () (= @t43 @t54)) % 1.02/1.25 (define @t56 () (not @t55)) % 1.02/1.25 (define @t57 () (not @t54)) % 1.02/1.25 (define @t58 () (not @t48)) % 1.02/1.25 (define @t59 () (tptp.member @t31 @t22)) % 1.02/1.25 (define @t60 () (or @t53 @t59)) % 1.02/1.25 (define @t61 () (= @t47 @t60)) % 1.02/1.25 (define @t62 () (not @t61)) % 1.02/1.25 (define @t63 () (not @t47)) % 1.02/1.25 (define @t64 () (and @t59 @t46)) % 1.02/1.25 (define @t65 () (not @t59)) % 1.02/1.25 (define @t66 () (not @t60)) % 1.02/1.25 (define @t67 () (= @t52 @t64)) % 1.02/1.25 (define @t68 () (not @t67)) % 1.02/1.25 (define @t69 () (not @t64)) % 1.02/1.25 (define @t70 () (not @t43)) % 1.02/1.25 (define @t71 () (@list false false)) % 1.02/1.25 (define @t72 () (not (tptp.member @t2 @t24))) % 1.02/1.25 (define @t73 () (forall @t9 (or @t72 @t29))) % 1.02/1.25 (define @t74 () (@quantifiers_skolemize @t73 0)) % 1.02/1.25 (define @t75 () (tptp.member @t74 @t24)) % 1.02/1.25 (define @t76 () (tptp.member @t74 @t28)) % 1.02/1.25 (define @t77 () (not @t75)) % 1.02/1.25 (define @t78 () (or @t77 @t76)) % 1.02/1.25 (define @t79 () (tptp.member @t2 @t21)) % 1.02/1.25 (define @t80 () (forall @t9 (or @t72 @t79))) % 1.02/1.25 (define @t81 () (= @t36 @t80)) % 1.02/1.25 (define @t82 () (@list @t74)) % 1.02/1.25 (define @t83 () (tptp.member @t74 @t21)) % 1.02/1.25 (define @t84 () (or @t77 @t83)) % 1.02/1.25 (define @t85 () (forall @t9 (or @t72 (tptp.member @t2 @t27)))) % 1.02/1.25 (define @t86 () (@quantifiers_skolemize @t85 0)) % 1.02/1.25 (define @t87 () (tptp.member @t86 @t24)) % 1.02/1.25 (define @t88 () (tptp.member @t86 @t27)) % 1.02/1.25 (define @t89 () (not @t87)) % 1.02/1.25 (define @t90 () (or @t89 @t88)) % 1.02/1.25 (define @t91 () (or @t87 (tptp.member @t86 @t22))) % 1.02/1.25 (define @t92 () (= @t88 @t91)) % 1.02/1.25 (define @t93 () (@list false false true false)) % 1.02/1.25 (define @t94 () (not @t90)) % 1.02/1.25 (define @t95 () (not @t85)) % 1.02/1.25 (define @t96 () (tptp.member @t74 @t27)) % 1.02/1.25 (define @t97 () (or @t77 @t96)) % 1.02/1.25 (define @t98 () (and @t96 @t83)) % 1.02/1.25 (define @t99 () (= @t76 @t98)) % 1.02/1.25 (define @t100 () (not @t78)) % 1.02/1.25 (define @t101 () (not @t73)) % 1.02/1.25 (define @t102 () (@list @t31)) % 1.02/1.25 (define @t103 () (not @t53)) % 1.02/1.25 (define @t104 () (or @t103 @t44)) % 1.02/1.25 (define @t105 () (forall @t9 (or (not @t26) @t79))) % 1.02/1.25 (define @t106 () (@quantifiers_skolemize @t105 0)) % 1.02/1.25 (define @t107 () (tptp.member @t106 @t25)) % 1.02/1.25 (define @t108 () (tptp.member @t106 @t21)) % 1.02/1.25 (define @t109 () (not @t107)) % 1.02/1.25 (define @t110 () (or @t109 @t108)) % 1.02/1.25 (define @t111 () (tptp.member @t106 @t23)) % 1.02/1.25 (define @t112 () (tptp.member @t106 @t24)) % 1.02/1.25 (define @t113 () (or @t112 @t111)) % 1.02/1.25 (define @t114 () (= @t107 @t113)) % 1.02/1.25 (define @t115 () (@list @t106)) % 1.02/1.25 (define @t116 () (not @t112)) % 1.02/1.25 (define @t117 () (or @t116 @t108)) % 1.02/1.25 (define @t118 () (forall @t9 (or (not (tptp.member @t2 @t23)) @t79))) % 1.02/1.25 (define @t119 () (@quantifiers_skolemize @t118 0)) % 1.02/1.25 (define @t120 () (tptp.member @t119 @t23)) % 1.02/1.25 (define @t121 () (tptp.member @t119 @t21)) % 1.02/1.25 (define @t122 () (not @t120)) % 1.02/1.25 (define @t123 () (or @t122 @t121)) % 1.02/1.25 (define @t124 () (and (tptp.member @t119 @t22) @t121)) % 1.02/1.25 (define @t125 () (= @t120 @t124)) % 1.02/1.25 (define @t126 () (not @t123)) % 1.02/1.25 (define @t127 () (not @t118)) % 1.02/1.25 (define @t128 () (not @t111)) % 1.02/1.25 (define @t129 () (or @t128 @t108)) % 1.02/1.25 (define @t130 () (not @t110)) % 1.02/1.25 (define @t131 () (not @t105)) % 1.02/1.25 (define @t132 () (or @t70 @t46)) % 1.02/1.25 (define @t133 () (or @t70 @t47)) % 1.02/1.25 (define @t134 () (not @t133)) % 1.02/1.25 (assume @p1 (forall @t7 (= (tptp.member @t2 @t6) (or @t5 @t3)))) % 1.02/1.25 (assume @p2 (forall @t7 (= (tptp.member @t2 @t8) (and @t5 @t3)))) % 1.02/1.25 (assume @p3 @t14) % 1.02/1.25 (assume @p4 (forall @t13 (= @t15 (and @t11 (tptp.subset @t1 @t4))))) % 1.02/1.25 (assume @p5 (forall @t13 (= @t6 (tptp.union @t1 @t4)))) % 1.02/1.25 (assume @p6 (forall @t13 (= @t8 (tptp.intersection @t1 @t4)))) % 1.02/1.25 (assume @p7 (forall (@list @t4) (tptp.subset @t4 @t4))) % 1.02/1.25 (assume @p8 @t16) % 1.02/1.25 (assume @p9 @t19) % 1.02/1.25 (assume @p10 true) % 1.02/1.25 (step @p11 :rule instantiate :premises (@p2) :args ((@list @t22 @t21 @t31))) % 1.02/1.25 (step @p12 :rule instantiate :premises (@p1) :args ((@list @t24 @t23 @t31))) % 1.02/1.25 (step @p13 :rule refl :args (@t30)) % 1.02/1.25 (step @p14 :rule eq-symm :args (@t28 @t25)) % 1.02/1.25 (step @p15 :rule cong :premises (@p14 @p13) :args (@t32)) % 1.02/1.25 (step @p16 :rule refl :args (@t16)) % 1.02/1.25 (step @p17 :rule cong :premises (@p16 @p15) :args ((=> @t16 @t32))) % 1.02/1.25 (assume-push @p235 @t16) % 1.02/1.25 (step @p19 :rule instantiate :premises (@p8) :args ((@list @t28 @t25))) % 1.02/1.25 (step-pop @p236 :rule scope :premises (@p19)) % 1.02/1.25 (step @p20 :rule process_scope :premises (@p236) :args (@t32)) % 1.02/1.25 (step @p22 :rule eq_resolve :premises (@p20 @p17)) % 1.02/1.25 (step @p23 :rule implies_elim :premises (@p22)) % 1.02/1.25 (step @p24 :rule chain_m_resolution :premises (@p23 @p8) :args (@t34 @t35 (@list @t16))) % 1.02/1.25 (step @p25 :rule bool-impl-elim :args (@t11 @t17)) % 1.02/1.25 (step @p26 :rule cong :premises (@p25) :args (@t18)) % 1.02/1.25 (step @p27 :rule cong :premises (@p26) :args (@t19)) % 1.02/1.25 (step @p28 :rule eq_resolve :premises (@p9 @p27)) % 1.02/1.25 (step @p29 :rule skolemize :premises (@p28)) % 1.02/1.25 (step @p30 :rule cnf_or_neg :args (@t38 1)) % 1.02/1.25 (step @p31 :rule chain_m_resolution :premises (@p30 @p29) :args ((not @t33) @t39 @t40)) % 1.02/1.25 (step @p32 :rule cnf_equiv_pos2 :args (@t34)) % 1.02/1.25 (step @p33 :rule reordering :premises (@p32) :args ((or @t33 @t41 (not @t34)))) % 1.02/1.25 (step @p34 :rule chain_m_resolution :premises (@p33 @p31 @p24) :args (@t41 @t42 (@list @t33 @t34))) % 1.02/1.25 (step @p35 :rule skolemize :premises (@p34)) % 1.02/1.25 (step @p36 :rule cnf_equiv_neg2 :args (@t45)) % 1.02/1.25 (step @p37 :rule instantiate :premises (@p2) :args ((@list @t27 @t21 @t31))) % 1.02/1.25 (step @p38 :rule cnf_equiv_pos1 :args (@t49)) % 1.02/1.25 (step @p39 :rule reordering :premises (@p38) :args ((or @t51 @t48 @t50))) % 1.02/1.25 (step @p40 :rule cnf_equiv_pos2 :args (@t55)) % 1.02/1.25 (step @p41 :rule reordering :premises (@p40) :args ((or @t43 @t57 @t56))) % 1.02/1.25 (step @p42 :rule cnf_and_pos :args (@t48 0)) % 1.02/1.25 (step @p43 :rule reordering :premises (@p42) :args ((or @t47 @t58))) % 1.02/1.25 (step @p44 :rule cnf_and_pos :args (@t48 1)) % 1.02/1.25 (step @p45 :rule reordering :premises (@p44) :args ((or @t46 @t58))) % 1.02/1.25 (step @p46 :rule cnf_or_neg :args (@t54 0)) % 1.02/1.25 (step @p47 :rule instantiate :premises (@p1) :args ((@list @t24 @t22 @t31))) % 1.02/1.25 (step @p48 :rule cnf_equiv_pos1 :args (@t61)) % 1.02/1.25 (step @p49 :rule reordering :premises (@p48) :args ((or @t63 @t60 @t62))) % 1.02/1.25 (step @p50 :rule cnf_and_neg :args (@t64)) % 1.02/1.25 (step @p51 :rule reordering :premises (@p50) :args ((or (not @t46) @t64 @t65))) % 1.02/1.25 (step @p52 :rule cnf_or_pos :args (@t60)) % 1.02/1.25 (step @p53 :rule reordering :premises (@p52) :args ((or @t53 @t59 @t66))) % 1.02/1.25 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p49 @p47 @p46 @p45 @p43 @p41 @p12 @p39 @p37 @p36 @p35) :args ((or @t51 @t64) (@list true false false true false false true false false false true true) (@list @t59 @t60 @t61 @t53 @t46 @t47 @t54 @t55 @t48 @t49 @t43 @t45))) % 1.02/1.25 (step @p55 :rule cnf_equiv_pos2 :args (@t67)) % 1.02/1.25 (step @p56 :rule reordering :premises (@p55) :args ((or @t52 @t69 @t68))) % 1.02/1.25 (step @p57 :rule cnf_or_neg :args (@t54 1)) % 1.02/1.25 (step @p58 :rule chain_m_resolution :premises (@p57 @p56 @p11 @p41 @p12 @p54 @p36 @p35) :args (@t51 (@list false false true false false true true) (@list @t52 @t67 @t54 @t55 @t64 @t43 @t45))) % 1.02/1.25 (step @p59 :rule cnf_equiv_neg1 :args (@t45)) % 1.02/1.25 (step @p60 :rule reordering :premises (@p59) :args ((or @t44 @t43 @t45))) % 1.02/1.25 (step @p61 :rule chain_m_resolution :premises (@p60 @p58 @p35) :args (@t43 (@list true true) (@list @t44 @t45))) % 1.02/1.25 (step @p62 :rule cnf_equiv_pos1 :args (@t55)) % 1.02/1.25 (step @p63 :rule reordering :premises (@p62) :args ((or @t70 @t54 @t56))) % 1.02/1.25 (step @p64 :rule chain_m_resolution :premises (@p63 @p61 @p12) :args (@t54 @t71 (@list @t43 @t55))) % 1.02/1.25 (step @p65 :rule bool-double-not-elim :args (@t75)) % 1.02/1.25 (step @p66 :rule refl :args (@t78)) % 1.02/1.25 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t78 (not @t77)))) % 1.02/1.25 (step @p68 :rule cnf_or_neg :args (@t78 0)) % 1.02/1.25 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 1.02/1.25 (step @p70 :rule reordering :premises (@p69) :args ((or @t75 @t78))) % 1.02/1.25 (step @p71 :rule cnf_or_neg :args (@t78 1)) % 1.02/1.25 (step @p72 :rule bool-impl-elim :args (@t5 @t3)) % 1.02/1.25 (step @p73 :rule cong :premises (@p72) :args (@t10)) % 1.02/1.25 (step @p74 :rule refl :args (@t11)) % 1.02/1.25 (step @p75 :rule cong :premises (@p74 @p73) :args (@t12)) % 1.02/1.25 (step @p76 :rule cong :premises (@p75) :args (@t14)) % 1.02/1.25 (step @p77 :rule eq_resolve :premises (@p3 @p76)) % 1.02/1.25 (step @p78 :rule instantiate :premises (@p77) :args ((@list @t24 @t21))) % 1.02/1.25 (step @p79 :rule bool-double-not-elim :args (@t36)) % 1.02/1.25 (step @p80 :rule refl :args (@t38)) % 1.02/1.25 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or @t38 (not @t37)))) % 1.02/1.25 (step @p82 :rule cnf_or_neg :args (@t38 0)) % 1.02/1.25 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 1.02/1.25 (step @p84 :rule reordering :premises (@p83) :args ((or @t36 @t38))) % 1.02/1.25 (step @p85 :rule chain_m_resolution :premises (@p84 @p29) :args (@t36 @t39 @t40)) % 1.02/1.25 (step @p86 :rule cnf_equiv_pos1 :args (@t81)) % 1.02/1.25 (step @p87 :rule reordering :premises (@p86) :args ((or @t37 @t80 (not @t81)))) % 1.02/1.25 (step @p88 :rule chain_m_resolution :premises (@p87 @p85 @p78) :args (@t80 @t71 (@list @t36 @t81))) % 1.02/1.25 (step @p89 :rule instantiate :premises (@p88) :args (@t82)) % 1.02/1.25 (step @p90 :rule cnf_or_pos :args (@t84)) % 1.02/1.25 (step @p91 :rule reordering :premises (@p90) :args ((or @t77 @t83 (not @t84)))) % 1.02/1.25 (step @p92 :rule bool-double-not-elim :args (@t87)) % 1.02/1.25 (step @p93 :rule refl :args (@t90)) % 1.02/1.25 (step @p94 :rule nary_cong :premises (@p93 @p92) :args ((or @t90 (not @t89)))) % 1.02/1.25 (step @p95 :rule cnf_or_neg :args (@t90 0)) % 1.02/1.25 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 1.02/1.25 (step @p97 :rule reordering :premises (@p96) :args ((or @t87 @t90))) % 1.02/1.25 (step @p98 :rule cnf_or_neg :args (@t90 1)) % 1.02/1.25 (step @p99 :rule cnf_or_neg :args (@t91 0)) % 1.02/1.25 (step @p100 :rule reordering :premises (@p99) :args ((or @t89 @t91))) % 1.02/1.25 (step @p101 :rule instantiate :premises (@p1) :args ((@list @t24 @t22 @t86))) % 1.02/1.25 (step @p102 :rule cnf_equiv_pos2 :args (@t92)) % 1.02/1.25 (step @p103 :rule reordering :premises (@p102) :args ((or @t88 (not @t91) (not @t92)))) % 1.02/1.25 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p100 @p98 @p97) :args (@t90 @t93 (@list @t92 @t91 @t88 @t87))) % 1.02/1.25 (step @p105 :rule refl :args (@t94)) % 1.02/1.25 (step @p106 :rule bool-double-not-elim :args (@t85)) % 1.02/1.25 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or (not @t95) @t94))) % 1.02/1.25 (assume-push @p237 @t95) % 1.02/1.25 (step @p109 :rule skolemize :premises (@p237)) % 1.02/1.25 (step-pop @p238 :rule scope :premises (@p109)) % 1.02/1.25 (step @p110 :rule process_scope :premises (@p238) :args (@t94)) % 1.02/1.25 (step @p112 :rule implies_elim :premises (@p110)) % 1.02/1.25 (step @p113 :rule eq_resolve :premises (@p112 @p107)) % 1.02/1.25 (step @p114 :rule chain_m_resolution :premises (@p113 @p104) :args (@t85 @t35 (@list @t90))) % 1.02/1.25 (assume-push @p239 @t85) % 1.02/1.25 (step @p116 :rule instantiate :premises (@p239) :args (@t82)) % 1.02/1.25 (step-pop @p240 :rule scope :premises (@p116)) % 1.02/1.25 (step @p117 :rule process_scope :premises (@p240) :args (@t97)) % 1.02/1.25 (step @p119 :rule implies_elim :premises (@p117)) % 1.02/1.25 (step @p120 :rule chain_m_resolution :premises (@p119 @p114) :args (@t97 @t35 (@list @t85))) % 1.02/1.25 (step @p121 :rule cnf_or_pos :args (@t97)) % 1.02/1.25 (step @p122 :rule reordering :premises (@p121) :args ((or @t77 @t96 (not @t97)))) % 1.02/1.25 (step @p123 :rule instantiate :premises (@p2) :args ((@list @t27 @t21 @t74))) % 1.02/1.25 (step @p124 :rule cnf_equiv_pos2 :args (@t99)) % 1.02/1.25 (step @p125 :rule reordering :premises (@p124) :args ((or @t76 (not @t98) (not @t99)))) % 1.02/1.25 (step @p126 :rule cnf_and_neg :args (@t98)) % 1.02/1.25 (step @p127 :rule chain_m_resolution :premises (@p126 @p125 @p123 @p122 @p120 @p91 @p89 @p71 @p70) :args (@t78 (@list true false false false false false true false) (@list @t98 @t99 @t96 @t97 @t83 @t84 @t76 @t75))) % 1.02/1.25 (step @p128 :rule refl :args (@t100)) % 1.02/1.25 (step @p129 :rule bool-double-not-elim :args (@t73)) % 1.02/1.25 (step @p130 :rule nary_cong :premises (@p129 @p128) :args ((or (not @t101) @t100))) % 1.02/1.25 (assume-push @p241 @t101) % 1.02/1.25 (step @p132 :rule skolemize :premises (@p241)) % 1.02/1.25 (step-pop @p242 :rule scope :premises (@p132)) % 1.02/1.25 (step @p133 :rule process_scope :premises (@p242) :args (@t100)) % 1.02/1.25 (step @p135 :rule implies_elim :premises (@p133)) % 1.02/1.25 (step @p136 :rule eq_resolve :premises (@p135 @p130)) % 1.02/1.25 (step @p137 :rule chain_m_resolution :premises (@p136 @p127) :args (@t73 @t35 (@list @t78))) % 1.02/1.25 (assume-push @p243 @t73) % 1.02/1.25 (step @p139 :rule instantiate :premises (@p243) :args (@t102)) % 1.02/1.25 (step-pop @p244 :rule scope :premises (@p139)) % 1.02/1.25 (step @p140 :rule process_scope :premises (@p244) :args (@t104)) % 1.02/1.25 (step @p142 :rule implies_elim :premises (@p140)) % 1.02/1.25 (step @p143 :rule chain_m_resolution :premises (@p142 @p137) :args (@t104 @t35 (@list @t73))) % 1.02/1.25 (step @p144 :rule cnf_or_pos :args (@t104)) % 1.02/1.25 (step @p145 :rule reordering :premises (@p144) :args ((or @t44 @t103 (not @t104)))) % 1.02/1.25 (step @p146 :rule chain_m_resolution :premises (@p145 @p58 @p143) :args (@t103 @t42 (@list @t44 @t104))) % 1.02/1.25 (step @p147 :rule cnf_or_pos :args (@t54)) % 1.02/1.25 (step @p148 :rule reordering :premises (@p147) :args ((or @t53 @t52 @t57))) % 1.02/1.25 (step @p149 :rule chain_m_resolution :premises (@p148 @p146 @p64) :args (@t52 @t42 (@list @t53 @t54))) % 1.02/1.25 (step @p150 :rule cnf_equiv_pos1 :args (@t67)) % 1.02/1.25 (step @p151 :rule reordering :premises (@p150) :args ((or (not @t52) @t64 @t68))) % 1.02/1.25 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p11) :args (@t64 @t71 (@list @t52 @t67))) % 1.02/1.25 (step @p153 :rule cnf_equiv_pos2 :args (@t49)) % 1.02/1.25 (step @p154 :rule reordering :premises (@p153) :args ((or @t44 @t58 @t50))) % 1.02/1.25 (step @p155 :rule bool-double-not-elim :args (@t107)) % 1.02/1.25 (step @p156 :rule refl :args (@t110)) % 1.02/1.25 (step @p157 :rule nary_cong :premises (@p156 @p155) :args ((or @t110 (not @t109)))) % 1.02/1.25 (step @p158 :rule cnf_or_neg :args (@t110 0)) % 1.02/1.25 (step @p159 :rule eq_resolve :premises (@p158 @p157)) % 1.02/1.25 (step @p160 :rule reordering :premises (@p159) :args ((or @t107 @t110))) % 1.02/1.25 (step @p161 :rule cnf_or_neg :args (@t110 1)) % 1.02/1.25 (step @p162 :rule instantiate :premises (@p1) :args ((@list @t24 @t23 @t106))) % 1.02/1.25 (step @p163 :rule cnf_equiv_pos1 :args (@t114)) % 1.02/1.25 (step @p164 :rule reordering :premises (@p163) :args ((or @t109 @t113 (not @t114)))) % 1.02/1.25 (step @p165 :rule instantiate :premises (@p88) :args (@t115)) % 1.02/1.25 (step @p166 :rule cnf_or_pos :args (@t117)) % 1.02/1.25 (step @p167 :rule reordering :premises (@p166) :args ((or @t108 @t116 (not @t117)))) % 1.02/1.25 (step @p168 :rule bool-double-not-elim :args (@t120)) % 1.02/1.25 (step @p169 :rule refl :args (@t123)) % 1.02/1.25 (step @p170 :rule nary_cong :premises (@p169 @p168) :args ((or @t123 (not @t122)))) % 1.02/1.25 (step @p171 :rule cnf_or_neg :args (@t123 0)) % 1.02/1.25 (step @p172 :rule eq_resolve :premises (@p171 @p170)) % 1.02/1.25 (step @p173 :rule reordering :premises (@p172) :args ((or @t120 @t123))) % 1.02/1.25 (step @p174 :rule cnf_or_neg :args (@t123 1)) % 1.02/1.25 (step @p175 :rule instantiate :premises (@p2) :args ((@list @t22 @t21 @t119))) % 1.02/1.25 (step @p176 :rule cnf_equiv_pos1 :args (@t125)) % 1.02/1.25 (step @p177 :rule reordering :premises (@p176) :args ((or @t122 @t124 (not @t125)))) % 1.02/1.25 (step @p178 :rule cnf_and_pos :args (@t124 1)) % 1.02/1.25 (step @p179 :rule reordering :premises (@p178) :args ((or @t121 (not @t124)))) % 1.02/1.25 (step @p180 :rule chain_m_resolution :premises (@p179 @p177 @p175 @p174 @p173) :args (@t123 @t93 (@list @t124 @t125 @t121 @t120))) % 1.02/1.25 (step @p181 :rule refl :args (@t126)) % 1.02/1.25 (step @p182 :rule bool-double-not-elim :args (@t118)) % 1.02/1.25 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((or (not @t127) @t126))) % 1.02/1.25 (assume-push @p245 @t127) % 1.02/1.25 (step @p185 :rule skolemize :premises (@p245)) % 1.02/1.25 (step-pop @p246 :rule scope :premises (@p185)) % 1.02/1.25 (step @p186 :rule process_scope :premises (@p246) :args (@t126)) % 1.02/1.25 (step @p188 :rule implies_elim :premises (@p186)) % 1.02/1.25 (step @p189 :rule eq_resolve :premises (@p188 @p183)) % 1.02/1.25 (step @p190 :rule chain_m_resolution :premises (@p189 @p180) :args (@t118 @t35 (@list @t123))) % 1.02/1.25 (assume-push @p247 @t118) % 1.02/1.25 (step @p192 :rule instantiate :premises (@p247) :args (@t115)) % 1.02/1.25 (step-pop @p248 :rule scope :premises (@p192)) % 1.02/1.25 (step @p193 :rule process_scope :premises (@p248) :args (@t129)) % 1.02/1.25 (step @p195 :rule implies_elim :premises (@p193)) % 1.02/1.25 (step @p196 :rule chain_m_resolution :premises (@p195 @p190) :args (@t129 @t35 (@list @t118))) % 1.02/1.25 (step @p197 :rule cnf_or_pos :args (@t129)) % 1.02/1.25 (step @p198 :rule reordering :premises (@p197) :args ((or @t108 @t128 (not @t129)))) % 1.02/1.25 (step @p199 :rule cnf_or_pos :args (@t113)) % 1.02/1.25 (step @p200 :rule reordering :premises (@p199) :args ((or @t112 @t111 (not @t113)))) % 1.02/1.25 (step @p201 :rule chain_m_resolution :premises (@p200 @p198 @p196 @p167 @p165 @p164 @p162 @p161 @p160) :args (@t110 (@list true false true false false false true false) (@list @t111 @t129 @t112 @t117 @t113 @t114 @t108 @t107))) % 1.02/1.25 (step @p202 :rule refl :args (@t130)) % 1.02/1.25 (step @p203 :rule bool-double-not-elim :args (@t105)) % 1.02/1.25 (step @p204 :rule nary_cong :premises (@p203 @p202) :args ((or (not @t131) @t130))) % 1.02/1.25 (assume-push @p249 @t131) % 1.02/1.25 (step @p206 :rule skolemize :premises (@p249)) % 1.02/1.25 (step-pop @p250 :rule scope :premises (@p206)) % 1.02/1.25 (step @p207 :rule process_scope :premises (@p250) :args (@t130)) % 1.02/1.25 (step @p209 :rule implies_elim :premises (@p207)) % 1.02/1.25 (step @p210 :rule eq_resolve :premises (@p209 @p204)) % 1.02/1.25 (step @p211 :rule chain_m_resolution :premises (@p210 @p201) :args (@t105 @t35 (@list @t110))) % 1.02/1.25 (assume-push @p251 @t105) % 1.02/1.25 (step @p213 :rule instantiate :premises (@p251) :args (@t102)) % 1.02/1.25 (step-pop @p252 :rule scope :premises (@p213)) % 1.02/1.25 (step @p214 :rule process_scope :premises (@p252) :args (@t132)) % 1.02/1.25 (step @p216 :rule implies_elim :premises (@p214)) % 1.02/1.25 (step @p217 :rule chain_m_resolution :premises (@p216 @p211) :args (@t132 @t35 (@list @t105))) % 1.02/1.25 (step @p218 :rule cnf_or_pos :args (@t132)) % 1.02/1.25 (step @p219 :rule reordering :premises (@p218) :args ((or @t70 @t46 (not @t132)))) % 1.02/1.25 (step @p220 :rule cnf_or_pos :args (@t133)) % 1.02/1.25 (step @p221 :rule reordering :premises (@p220) :args ((or @t70 @t47 @t134))) % 1.02/1.25 (step @p222 :rule cnf_and_neg :args (@t48)) % 1.02/1.25 (step @p223 :rule chain_m_resolution :premises (@p222 @p221 @p219 @p217 @p154 @p37 @p60 @p35) :args ((or @t44 @t134) (@list false false false true false false true) (@list @t47 @t46 @t132 @t48 @t49 @t43 @t45))) % 1.02/1.25 (step @p224 :rule chain_m_resolution :premises (@p223 @p58) :args (@t134 @t39 (@list @t44))) % 1.02/1.25 (step @p225 :rule cnf_or_neg :args (@t133 1)) % 1.02/1.25 (step @p226 :rule chain_m_resolution :premises (@p225 @p224) :args (@t63 @t39 (@list @t133))) % 1.02/1.25 (step @p227 :rule cnf_equiv_pos2 :args (@t61)) % 1.02/1.25 (step @p228 :rule reordering :premises (@p227) :args ((or @t47 @t66 @t62))) % 1.02/1.25 (step @p229 :rule chain_m_resolution :premises (@p228 @p226 @p47) :args (@t66 @t42 (@list @t47 @t61))) % 1.02/1.25 (step @p230 :rule cnf_or_neg :args (@t60 1)) % 1.02/1.25 (step @p231 :rule chain_m_resolution :premises (@p230 @p229) :args (@t65 @t39 (@list @t60))) % 1.02/1.25 (step @p232 :rule cnf_and_pos :args (@t64 0)) % 1.02/1.25 (step @p233 :rule reordering :premises (@p232) :args ((or @t59 @t69))) % 1.02/1.25 (step @p234 false :rule chain_m_resolution :premises (@p233 @p231 @p152) :args (false @t42 (@list @t59 @t64))) % 1.02/1.25 ) % 1.02/1.25 % SZS output end Proof % 1.02/1.25 % cvc5 exiting %------------------------------------------------------------------------------