%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET613+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 : n016.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 08:48:14 AM UTC 2026 % Result : Theorem 0.86s 1.07s % Output : Proof 0.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SET613+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.14/0.32 % Computer : n016.cluster.edu % 0.14/0.32 % Model : x86_64 x86_64 % 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.32 % Memory : 8042.1875MB % 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.32 % CPULimit : 300 % 0.14/0.32 % WCLimit : 300 % 0.14/0.32 % DateTime : Tue Jun 2 16:05:24 EDT 2026 % 0.14/0.32 % CPUTime : % 0.29/0.47 %----Proving TF0_NAR, FOF, or CNF % 0.86/1.07 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.86/1.07 % SZS status Theorem % 0.86/1.07 % SZS output start Proof % 0.86/1.07 ( % 0.86/1.07 (declare-sort $$unsorted 0) % 0.86/1.07 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.86/1.07 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.07 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.86/1.07 (define @t1 () (@var "C" $$unsorted)) % 0.86/1.07 (define @t2 () (@var "B" $$unsorted)) % 0.86/1.07 (define @t3 () (= @t2 @t1)) % 0.86/1.07 (define @t4 () (@var "D" $$unsorted)) % 0.86/1.07 (define @t5 () (tptp.member @t4 @t1)) % 0.86/1.07 (define @t6 () (tptp.member @t4 @t2)) % 0.86/1.07 (define @t7 () (@list @t4)) % 0.86/1.07 (define @t8 () (forall @t7 (= @t6 @t5))) % 0.86/1.07 (define @t9 () (@list @t2 @t1)) % 0.86/1.07 (define @t10 () (forall @t9 (=> @t8 @t3))) % 0.86/1.07 (define @t11 () (tptp.union @t2 @t1)) % 0.86/1.07 (define @t12 () (@list @t2 @t1 @t4)) % 0.86/1.07 (define @t13 () (tptp.intersection @t2 @t1)) % 0.86/1.07 (define @t14 () (tptp.difference @t2 @t1)) % 0.86/1.07 (define @t15 () (tptp.subset @t2 @t1)) % 0.86/1.07 (define @t16 () (forall @t9 (= (tptp.difference @t11 @t13) (tptp.union @t14 (tptp.difference @t1 @t2))))) % 0.86/1.07 (define @t17 () (@quantifiers_skolemize @t16 1)) % 0.86/1.07 (define @t18 () (@quantifiers_skolemize @t16 0)) % 0.86/1.07 (define @t19 () (tptp.intersection @t18 @t17)) % 0.86/1.07 (define @t20 () (tptp.union @t18 @t17)) % 0.86/1.07 (define @t21 () (tptp.difference @t20 @t19)) % 0.86/1.07 (define @t22 () (tptp.difference @t17 @t18)) % 0.86/1.07 (define @t23 () (tptp.difference @t18 @t17)) % 0.86/1.07 (define @t24 () (tptp.union @t23 @t22)) % 0.86/1.07 (define @t25 () (forall @t7 (= (tptp.member @t4 @t24) (tptp.member @t4 @t21)))) % 0.86/1.07 (define @t26 () (@quantifiers_skolemize @t25 0)) % 0.86/1.07 (define @t27 () (@list @t18 @t17 @t26)) % 0.86/1.07 (define @t28 () (tptp.member @t26 @t19)) % 0.86/1.07 (define @t29 () (not @t28)) % 0.86/1.07 (define @t30 () (tptp.member @t26 @t20)) % 0.86/1.07 (define @t31 () (and @t30 @t29)) % 0.86/1.07 (define @t32 () (tptp.member @t26 @t21)) % 0.86/1.07 (define @t33 () (= @t32 @t31)) % 0.86/1.07 (define @t34 () (not @t33)) % 0.86/1.07 (define @t35 () (not @t25)) % 0.86/1.07 (define @t36 () (or @t35 (= @t24 @t21))) % 0.86/1.07 (define @t37 () (forall @t9 (or (not @t8) @t3))) % 0.86/1.07 (define @t38 () (= @t21 @t24)) % 0.86/1.07 (define @t39 () (or @t35 @t38)) % 0.86/1.07 (define @t40 () (@list false)) % 0.86/1.07 (define @t41 () (@list true false)) % 0.86/1.07 (define @t42 () (tptp.member @t26 @t24)) % 0.86/1.07 (define @t43 () (= @t42 @t32)) % 0.86/1.07 (define @t44 () (tptp.member @t26 @t22)) % 0.86/1.07 (define @t45 () (tptp.member @t26 @t23)) % 0.86/1.07 (define @t46 () (or @t45 @t44)) % 0.86/1.07 (define @t47 () (= @t42 @t46)) % 0.86/1.07 (define @t48 () (not @t47)) % 0.86/1.07 (define @t49 () (not @t42)) % 0.86/1.07 (define @t50 () (tptp.member @t26 @t18)) % 0.86/1.07 (define @t51 () (tptp.member @t26 @t17)) % 0.86/1.07 (define @t52 () (and @t51 @t50)) % 0.86/1.07 (define @t53 () (not @t52)) % 0.86/1.07 (define @t54 () (not @t51)) % 0.86/1.07 (define @t55 () (and @t50 @t54)) % 0.86/1.07 (define @t56 () (not @t55)) % 0.86/1.07 (define @t57 () (not @t50)) % 0.86/1.07 (define @t58 () (and @t51 @t57)) % 0.86/1.07 (define @t59 () (not @t58)) % 0.86/1.07 (define @t60 () (= @t45 @t55)) % 0.86/1.07 (define @t61 () (not @t60)) % 0.86/1.07 (define @t62 () (not @t45)) % 0.86/1.07 (define @t63 () (@list @t17 @t18 @t26)) % 0.86/1.07 (define @t64 () (= @t44 @t58)) % 0.86/1.07 (define @t65 () (not @t64)) % 0.86/1.07 (define @t66 () (not @t44)) % 0.86/1.07 (define @t67 () (not @t46)) % 0.86/1.07 (define @t68 () (tptp.intersection @t17 @t18)) % 0.86/1.07 (define @t69 () (tptp.member @t26 @t68)) % 0.86/1.07 (define @t70 () (= @t69 @t52)) % 0.86/1.07 (define @t71 () (not @t70)) % 0.86/1.07 (define @t72 () (not @t69)) % 0.86/1.07 (define @t73 () (= @t19 @t68)) % 0.86/1.07 (define @t74 () (and @t73 @t28)) % 0.86/1.07 (define @t75 () (not @t30)) % 0.86/1.07 (define @t76 () (not @t29)) % 0.86/1.07 (define @t77 () (tptp.member @t4 @t20)) % 0.86/1.07 (define @t78 () (forall @t7 (or (not (tptp.member @t4 @t18)) @t77))) % 0.86/1.07 (define @t79 () (@quantifiers_skolemize @t78 0)) % 0.86/1.07 (define @t80 () (tptp.member @t79 @t18)) % 0.86/1.07 (define @t81 () (tptp.member @t79 @t20)) % 0.86/1.07 (define @t82 () (not @t80)) % 0.86/1.07 (define @t83 () (or @t82 @t81)) % 0.86/1.07 (define @t84 () (or @t80 (tptp.member @t79 @t17))) % 0.86/1.07 (define @t85 () (= @t81 @t84)) % 0.86/1.07 (define @t86 () (@list false false true false)) % 0.86/1.07 (define @t87 () (not @t83)) % 0.86/1.07 (define @t88 () (not @t78)) % 0.86/1.07 (define @t89 () (@list @t26)) % 0.86/1.07 (define @t90 () (or @t57 @t30)) % 0.86/1.07 (define @t91 () (forall @t7 (or (not (tptp.member @t4 @t17)) @t77))) % 0.86/1.07 (define @t92 () (@quantifiers_skolemize @t91 0)) % 0.86/1.07 (define @t93 () (tptp.member @t92 @t17)) % 0.86/1.07 (define @t94 () (tptp.member @t92 @t20)) % 0.86/1.07 (define @t95 () (not @t93)) % 0.86/1.07 (define @t96 () (or @t95 @t94)) % 0.86/1.07 (define @t97 () (or (tptp.member @t92 @t18) @t93)) % 0.86/1.07 (define @t98 () (= @t94 @t97)) % 0.86/1.07 (define @t99 () (not @t96)) % 0.86/1.07 (define @t100 () (not @t91)) % 0.86/1.07 (define @t101 () (or @t54 @t30)) % 0.86/1.07 (define @t102 () (not @t31)) % 0.86/1.07 (define @t103 () (@list false false)) % 0.86/1.07 (define @t104 () (@list true)) % 0.86/1.07 (define @t105 () (@list @t46)) % 0.86/1.07 (define @t106 () (@list @t31)) % 0.86/1.07 (define @t107 () (or @t50 @t51)) % 0.86/1.07 (define @t108 () (= @t30 @t107)) % 0.86/1.07 (define @t109 () (not @t73)) % 0.86/1.07 (define @t110 () (and @t73 @t29)) % 0.86/1.07 (define @t111 () (@list false true)) % 0.86/1.07 (assume @p1 @t10) % 0.86/1.07 (assume @p2 (forall @t12 (= (tptp.member @t4 @t11) (or @t6 @t5)))) % 0.86/1.07 (assume @p3 (forall @t12 (= (tptp.member @t4 @t13) (and @t6 @t5)))) % 0.86/1.07 (assume @p4 (forall @t12 (= (tptp.member @t4 @t14) (and @t6 (not @t5))))) % 0.86/1.07 (assume @p5 (forall @t9 (= @t3 (and @t15 (tptp.subset @t1 @t2))))) % 0.86/1.07 (assume @p6 (forall @t9 (= @t11 (tptp.union @t1 @t2)))) % 0.86/1.07 (assume @p7 (forall @t9 (= @t13 (tptp.intersection @t1 @t2)))) % 0.86/1.07 (assume @p8 (forall @t9 (= @t3 @t8))) % 0.86/1.07 (assume @p9 (forall @t9 (= @t15 (forall @t7 (=> @t6 @t5))))) % 0.86/1.07 (assume @p10 (forall (@list @t2) (tptp.subset @t2 @t2))) % 0.86/1.07 (assume @p11 (not @t16)) % 0.86/1.07 (assume @p12 true) % 0.86/1.07 (step @p13 :rule instantiate :premises (@p4) :args (@t27)) % 0.86/1.07 (step @p14 :rule instantiate :premises (@p2) :args ((@list @t23 @t22 @t26))) % 0.86/1.07 (step @p15 :rule instantiate :premises (@p4) :args ((@list @t20 @t19 @t26))) % 0.86/1.07 (step @p16 :rule cnf_equiv_pos1 :args (@t33)) % 0.86/1.07 (step @p17 :rule reordering :premises (@p16) :args ((or (not @t32) @t31 @t34))) % 0.86/1.07 (step @p18 :rule bool-impl-elim :args (@t8 @t3)) % 0.86/1.07 (step @p19 :rule cong :premises (@p18) :args (@t10)) % 0.86/1.07 (step @p20 :rule eq_resolve :premises (@p1 @p19)) % 0.86/1.07 (step @p21 :rule eq-symm :args (@t24 @t21)) % 0.86/1.07 (step @p22 :rule refl :args (@t35)) % 0.86/1.07 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t36)) % 0.86/1.07 (step @p24 :rule refl :args (@t37)) % 0.86/1.07 (step @p25 :rule cong :premises (@p24 @p23) :args ((=> @t37 @t36))) % 0.86/1.07 (assume-push @p232 @t37) % 0.86/1.07 (step @p27 :rule instantiate :premises (@p20) :args ((@list @t24 @t21))) % 0.86/1.07 (step-pop @p233 :rule scope :premises (@p27)) % 0.86/1.07 (step @p28 :rule process_scope :premises (@p233) :args (@t36)) % 0.86/1.07 (step @p30 :rule eq_resolve :premises (@p28 @p25)) % 0.86/1.07 (step @p31 :rule implies_elim :premises (@p30)) % 0.86/1.07 (step @p32 :rule chain_m_resolution :premises (@p31 @p20) :args (@t39 @t40 (@list @t37))) % 0.86/1.07 (step @p33 :rule skolemize :premises (@p11)) % 0.86/1.07 (step @p34 :rule cnf_or_pos :args (@t39)) % 0.86/1.07 (step @p35 :rule reordering :premises (@p34) :args ((or @t38 @t35 (not @t39)))) % 0.86/1.07 (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p32) :args (@t35 @t41 (@list @t38 @t39))) % 0.86/1.07 (step @p37 :rule skolemize :premises (@p36)) % 0.86/1.07 (step @p38 :rule cnf_equiv_neg1 :args (@t43)) % 0.86/1.07 (step @p39 :rule reordering :premises (@p38) :args ((or @t42 @t32 @t43))) % 0.86/1.07 (step @p40 :rule cnf_equiv_pos1 :args (@t47)) % 0.86/1.07 (step @p41 :rule reordering :premises (@p40) :args ((or @t49 @t46 @t48))) % 0.86/1.07 (step @p42 :rule cnf_and_pos :args (@t52 0)) % 0.86/1.07 (step @p43 :rule reordering :premises (@p42) :args ((or @t51 @t53))) % 0.86/1.07 (step @p44 :rule cnf_and_pos :args (@t52 1)) % 0.86/1.07 (step @p45 :rule reordering :premises (@p44) :args ((or @t50 @t53))) % 0.86/1.07 (step @p46 :rule cnf_and_pos :args (@t55 1)) % 0.86/1.07 (step @p47 :rule reordering :premises (@p46) :args ((or @t54 @t56))) % 0.86/1.07 (step @p48 :rule cnf_and_pos :args (@t58 1)) % 0.86/1.07 (step @p49 :rule reordering :premises (@p48) :args ((or @t57 @t59))) % 0.86/1.07 (step @p50 :rule cnf_equiv_pos1 :args (@t60)) % 0.86/1.07 (step @p51 :rule reordering :premises (@p50) :args ((or @t62 @t55 @t61))) % 0.86/1.07 (step @p52 :rule instantiate :premises (@p4) :args (@t63)) % 0.86/1.07 (step @p53 :rule cnf_equiv_pos1 :args (@t64)) % 0.86/1.07 (step @p54 :rule reordering :premises (@p53) :args ((or @t66 @t58 @t65))) % 0.86/1.07 (step @p55 :rule cnf_or_pos :args (@t46)) % 0.86/1.07 (step @p56 :rule reordering :premises (@p55) :args ((or @t45 @t44 @t67))) % 0.86/1.07 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p52 @p51 @p13 @p49 @p47 @p45 @p43) :args ((or @t67 @t53) (@list true false true false true true false false) (@list @t44 @t64 @t45 @t60 @t58 @t55 @t50 @t51))) % 0.86/1.07 (step @p58 :rule instantiate :premises (@p3) :args (@t63)) % 0.86/1.07 (step @p59 :rule cnf_equiv_pos1 :args (@t70)) % 0.86/1.07 (step @p60 :rule reordering :premises (@p59) :args ((or @t52 @t72 @t71))) % 0.86/1.07 (step @p61 :rule instantiate :premises (@p7) :args ((@list @t18 @t17))) % 0.86/1.07 (assume-push @p234 @t73) % 0.86/1.07 (assume-push @p235 @t28) % 0.86/1.07 (assume-push @p236 @t28) % 0.86/1.07 (assume-push @p237 @t73) % 0.86/1.07 (step @p66 :rule true_intro :premises (@p235)) % 0.86/1.07 (step @p67 :rule symm :premises (@p61)) % 0.86/1.07 (step @p68 :rule refl :args (@t26)) % 0.86/1.07 (step @p69 :rule cong :premises (@p68 @p67) :args (@t69)) % 0.86/1.07 (step @p70 :rule trans :premises (@p69 @p66)) % 0.86/1.07 (step @p71 :rule true_elim :premises (@p70)) % 0.86/1.07 (step-pop @p238 :rule scope :premises (@p71)) % 0.86/1.07 (step-pop @p239 :rule scope :premises (@p238)) % 0.86/1.07 (step @p72 :rule process_scope :premises (@p239) :args (@t69)) % 0.86/1.07 (step @p75 :rule and_intro :premises (@p235 @p61)) % 0.86/1.07 (step @p76 :rule modus_ponens :premises (@p75 @p72)) % 0.86/1.07 (step-pop @p240 :rule scope :premises (@p76)) % 0.86/1.07 (step-pop @p241 :rule scope :premises (@p240)) % 0.86/1.07 (step @p77 :rule process_scope :premises (@p241) :args (@t69)) % 0.86/1.07 (step @p80 :rule implies_elim :premises (@p77)) % 0.86/1.07 (step @p81 :rule cnf_and_neg :args (@t74)) % 0.86/1.07 (step @p82 :rule resolution :premises (@p81 @p80) :args (true @t74)) % 0.86/1.07 (step @p83 :rule bool-double-not-elim :args (@t28)) % 0.86/1.07 (step @p84 :rule refl :args (@t75)) % 0.86/1.07 (step @p85 :rule refl :args (@t31)) % 0.86/1.07 (step @p86 :rule nary_cong :premises (@p85 @p84 @p83) :args ((or @t31 @t75 @t76))) % 0.86/1.07 (step @p87 :rule cnf_and_neg :args (@t31)) % 0.86/1.07 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.86/1.07 (step @p89 :rule reordering :premises (@p88) :args ((or @t28 @t31 @t75))) % 0.86/1.07 (step @p90 :rule bool-double-not-elim :args (@t80)) % 0.86/1.07 (step @p91 :rule refl :args (@t83)) % 0.86/1.07 (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t83 (not @t82)))) % 0.86/1.07 (step @p93 :rule cnf_or_neg :args (@t83 0)) % 0.86/1.07 (step @p94 :rule eq_resolve :premises (@p93 @p92)) % 0.86/1.07 (step @p95 :rule reordering :premises (@p94) :args ((or @t80 @t83))) % 0.86/1.07 (step @p96 :rule cnf_or_neg :args (@t83 1)) % 0.86/1.07 (step @p97 :rule cnf_or_neg :args (@t84 0)) % 0.86/1.07 (step @p98 :rule reordering :premises (@p97) :args ((or @t82 @t84))) % 0.86/1.07 (step @p99 :rule instantiate :premises (@p2) :args ((@list @t18 @t17 @t79))) % 0.86/1.07 (step @p100 :rule cnf_equiv_pos2 :args (@t85)) % 0.86/1.07 (step @p101 :rule reordering :premises (@p100) :args ((or @t81 (not @t84) (not @t85)))) % 0.86/1.07 (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p98 @p96 @p95) :args (@t83 @t86 (@list @t85 @t84 @t81 @t80))) % 0.86/1.07 (step @p103 :rule refl :args (@t87)) % 0.86/1.07 (step @p104 :rule bool-double-not-elim :args (@t78)) % 0.86/1.07 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or (not @t88) @t87))) % 0.86/1.07 (assume-push @p242 @t88) % 0.86/1.07 (step @p107 :rule skolemize :premises (@p242)) % 0.86/1.07 (step-pop @p243 :rule scope :premises (@p107)) % 0.86/1.07 (step @p108 :rule process_scope :premises (@p243) :args (@t87)) % 0.86/1.07 (step @p110 :rule implies_elim :premises (@p108)) % 0.86/1.07 (step @p111 :rule eq_resolve :premises (@p110 @p105)) % 0.86/1.07 (step @p112 :rule chain_m_resolution :premises (@p111 @p102) :args (@t78 @t40 (@list @t83))) % 0.86/1.07 (assume-push @p244 @t78) % 0.86/1.07 (step @p114 :rule instantiate :premises (@p244) :args (@t89)) % 0.86/1.07 (step-pop @p245 :rule scope :premises (@p114)) % 0.86/1.07 (step @p115 :rule process_scope :premises (@p245) :args (@t90)) % 0.86/1.07 (step @p117 :rule implies_elim :premises (@p115)) % 0.86/1.07 (step @p118 :rule chain_m_resolution :premises (@p117 @p112) :args (@t90 @t40 (@list @t78))) % 0.86/1.07 (step @p119 :rule cnf_or_pos :args (@t90)) % 0.86/1.07 (step @p120 :rule reordering :premises (@p119) :args ((or @t30 @t57 (not @t90)))) % 0.86/1.07 (step @p121 :rule bool-double-not-elim :args (@t93)) % 0.86/1.07 (step @p122 :rule refl :args (@t96)) % 0.86/1.07 (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((or @t96 (not @t95)))) % 0.86/1.07 (step @p124 :rule cnf_or_neg :args (@t96 0)) % 0.86/1.07 (step @p125 :rule eq_resolve :premises (@p124 @p123)) % 0.86/1.07 (step @p126 :rule reordering :premises (@p125) :args ((or @t93 @t96))) % 0.86/1.07 (step @p127 :rule cnf_or_neg :args (@t96 1)) % 0.86/1.07 (step @p128 :rule cnf_or_neg :args (@t97 1)) % 0.86/1.07 (step @p129 :rule reordering :premises (@p128) :args ((or @t95 @t97))) % 0.86/1.07 (step @p130 :rule instantiate :premises (@p2) :args ((@list @t18 @t17 @t92))) % 0.86/1.07 (step @p131 :rule cnf_equiv_pos2 :args (@t98)) % 0.86/1.07 (step @p132 :rule reordering :premises (@p131) :args ((or @t94 (not @t97) (not @t98)))) % 0.86/1.07 (step @p133 :rule chain_m_resolution :premises (@p132 @p130 @p129 @p127 @p126) :args (@t96 @t86 (@list @t98 @t97 @t94 @t93))) % 0.86/1.07 (step @p134 :rule refl :args (@t99)) % 0.86/1.07 (step @p135 :rule bool-double-not-elim :args (@t91)) % 0.86/1.07 (step @p136 :rule nary_cong :premises (@p135 @p134) :args ((or (not @t100) @t99))) % 0.86/1.07 (assume-push @p246 @t100) % 0.86/1.07 (step @p138 :rule skolemize :premises (@p246)) % 0.86/1.07 (step-pop @p247 :rule scope :premises (@p138)) % 0.86/1.07 (step @p139 :rule process_scope :premises (@p247) :args (@t99)) % 0.86/1.07 (step @p141 :rule implies_elim :premises (@p139)) % 0.86/1.07 (step @p142 :rule eq_resolve :premises (@p141 @p136)) % 0.86/1.07 (step @p143 :rule chain_m_resolution :premises (@p142 @p133) :args (@t91 @t40 (@list @t96))) % 0.86/1.07 (assume-push @p248 @t91) % 0.86/1.07 (step @p145 :rule instantiate :premises (@p248) :args (@t89)) % 0.86/1.07 (step-pop @p249 :rule scope :premises (@p145)) % 0.86/1.07 (step @p146 :rule process_scope :premises (@p249) :args (@t101)) % 0.86/1.07 (step @p148 :rule implies_elim :premises (@p146)) % 0.86/1.07 (step @p149 :rule chain_m_resolution :premises (@p148 @p143) :args (@t101 @t40 (@list @t91))) % 0.86/1.07 (step @p150 :rule cnf_or_pos :args (@t101)) % 0.86/1.07 (step @p151 :rule reordering :premises (@p150) :args ((or @t30 @t54 (not @t101)))) % 0.86/1.07 (step @p152 :rule cnf_and_pos :args (@t55 0)) % 0.86/1.07 (step @p153 :rule reordering :premises (@p152) :args ((or @t50 @t56))) % 0.86/1.07 (step @p154 :rule cnf_and_pos :args (@t58 0)) % 0.86/1.07 (step @p155 :rule reordering :premises (@p154) :args ((or @t51 @t59))) % 0.86/1.07 (step @p156 :rule chain_m_resolution :premises (@p56 @p54 @p52 @p51 @p13 @p155 @p153 @p151 @p149 @p120 @p118 @p89 @p82 @p61 @p60 @p58 @p57 @p41 @p14 @p39 @p37 @p17 @p15) :args (@t31 (@list true false true false true true true false true false true true false true false true false false false true true false) (@list @t44 @t64 @t45 @t60 @t58 @t55 @t51 @t101 @t50 @t90 @t30 @t28 @t73 @t69 @t70 @t52 @t46 @t47 @t42 @t43 @t32 @t33))) % 0.86/1.07 (step @p157 :rule cnf_equiv_pos2 :args (@t33)) % 0.86/1.07 (step @p158 :rule reordering :premises (@p157) :args ((or @t32 @t102 @t34))) % 0.86/1.07 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p15) :args (@t32 @t103 (@list @t31 @t33))) % 0.86/1.07 (step @p160 :rule cnf_equiv_neg2 :args (@t43)) % 0.86/1.07 (step @p161 :rule chain_m_resolution :premises (@p160 @p37 @p159) :args (@t49 @t41 (@list @t43 @t32))) % 0.86/1.07 (step @p162 :rule cnf_equiv_pos2 :args (@t47)) % 0.86/1.07 (step @p163 :rule reordering :premises (@p162) :args ((or @t42 @t67 @t48))) % 0.86/1.07 (step @p164 :rule chain_m_resolution :premises (@p163 @p161 @p14) :args (@t67 @t41 (@list @t42 @t47))) % 0.86/1.07 (step @p165 :rule cnf_or_neg :args (@t46 0)) % 0.86/1.07 (step @p166 :rule chain_m_resolution :premises (@p165 @p164) :args (@t62 @t104 @t105)) % 0.86/1.07 (step @p167 :rule cnf_equiv_pos2 :args (@t60)) % 0.86/1.07 (step @p168 :rule reordering :premises (@p167) :args ((or @t45 @t56 @t61))) % 0.86/1.07 (step @p169 :rule chain_m_resolution :premises (@p168 @p166 @p13) :args (@t56 @t41 (@list @t45 @t60))) % 0.86/1.07 (step @p170 :rule cnf_or_neg :args (@t46 1)) % 0.86/1.07 (step @p171 :rule chain_m_resolution :premises (@p170 @p164) :args (@t66 @t104 @t105)) % 0.86/1.07 (step @p172 :rule cnf_equiv_pos2 :args (@t64)) % 0.86/1.07 (step @p173 :rule reordering :premises (@p172) :args ((or @t44 @t59 @t65))) % 0.86/1.07 (step @p174 :rule chain_m_resolution :premises (@p173 @p171 @p52) :args (@t59 @t41 (@list @t44 @t64))) % 0.86/1.07 (step @p175 :rule bool-double-not-elim :args (@t50)) % 0.86/1.07 (step @p176 :rule refl :args (@t54)) % 0.86/1.07 (step @p177 :rule refl :args (@t58)) % 0.86/1.07 (step @p178 :rule nary_cong :premises (@p177 @p176 @p175) :args ((or @t58 @t54 (not @t57)))) % 0.86/1.07 (step @p179 :rule cnf_and_neg :args (@t58)) % 0.86/1.07 (step @p180 :rule eq_resolve :premises (@p179 @p178)) % 0.86/1.07 (step @p181 :rule reordering :premises (@p180) :args ((or @t50 @t54 @t58))) % 0.86/1.07 (step @p182 :rule instantiate :premises (@p2) :args (@t27)) % 0.86/1.07 (step @p183 :rule cnf_and_pos :args (@t31 0)) % 0.86/1.07 (step @p184 :rule reordering :premises (@p183) :args ((or @t30 @t102))) % 0.86/1.07 (step @p185 :rule chain_m_resolution :premises (@p184 @p156) :args (@t30 @t40 @t106)) % 0.86/1.07 (step @p186 :rule cnf_equiv_pos1 :args (@t108)) % 0.86/1.07 (step @p187 :rule reordering :premises (@p186) :args ((or @t75 @t107 (not @t108)))) % 0.86/1.07 (step @p188 :rule chain_m_resolution :premises (@p187 @p185 @p182) :args (@t107 @t103 (@list @t30 @t108))) % 0.86/1.07 (step @p189 :rule cnf_or_pos :args (@t107)) % 0.86/1.07 (step @p190 :rule reordering :premises (@p189) :args ((or @t50 @t51 (not @t107)))) % 0.86/1.07 (step @p191 :rule chain_m_resolution :premises (@p190 @p188 @p181 @p174) :args (@t50 (@list false true true) (@list @t107 @t51 @t58))) % 0.86/1.07 (step @p192 :rule cnf_and_pos :args (@t31 1)) % 0.86/1.07 (step @p193 :rule reordering :premises (@p192) :args ((or @t29 @t102))) % 0.86/1.07 (step @p194 :rule chain_m_resolution :premises (@p193 @p156) :args (@t29 @t40 @t106)) % 0.86/1.07 (step @p195 :rule refl :args (@t72)) % 0.86/1.07 (step @p196 :rule refl :args (@t109)) % 0.86/1.07 (step @p197 :rule nary_cong :premises (@p196 @p83 @p195) :args ((or @t109 @t76 @t72))) % 0.86/1.07 (assume-push @p250 @t73) % 0.86/1.07 (assume-push @p251 @t29) % 0.86/1.07 (assume-push @p252 @t29) % 0.86/1.07 (assume-push @p253 @t73) % 0.86/1.07 (step @p202 :rule false_intro :premises (@p251)) % 0.86/1.07 (step @p67 :rule symm :premises (@p61)) % 0.86/1.07 (step @p68 :rule refl :args (@t26)) % 0.86/1.07 (step @p69 :rule cong :premises (@p68 @p67) :args (@t69)) % 0.86/1.07 (step @p203 :rule trans :premises (@p69 @p202)) % 0.86/1.07 (step @p204 :rule false_elim :premises (@p203)) % 0.86/1.07 (step-pop @p254 :rule scope :premises (@p204)) % 0.86/1.07 (step-pop @p255 :rule scope :premises (@p254)) % 0.86/1.07 (step @p205 :rule process_scope :premises (@p255) :args (@t72)) % 0.86/1.07 (step @p208 :rule and_intro :premises (@p251 @p61)) % 0.86/1.07 (step @p209 :rule modus_ponens :premises (@p208 @p205)) % 0.86/1.07 (step-pop @p256 :rule scope :premises (@p209)) % 0.86/1.07 (step-pop @p257 :rule scope :premises (@p256)) % 0.86/1.07 (step @p210 :rule process_scope :premises (@p257) :args (@t72)) % 0.86/1.07 (step @p213 :rule implies_elim :premises (@p210)) % 0.86/1.07 (step @p214 :rule cnf_and_neg :args (@t110)) % 0.86/1.07 (step @p215 :rule resolution :premises (@p214 @p213) :args (true @t110)) % 0.86/1.07 (step @p216 :rule eq_resolve :premises (@p215 @p197)) % 0.86/1.07 (step @p217 :rule chain_m_resolution :premises (@p216 @p61 @p194) :args (@t72 @t111 (@list @t73 @t28))) % 0.86/1.07 (step @p218 :rule cnf_equiv_pos2 :args (@t70)) % 0.86/1.07 (step @p219 :rule reordering :premises (@p218) :args ((or @t69 @t53 @t71))) % 0.86/1.07 (step @p220 :rule chain_m_resolution :premises (@p219 @p217 @p58) :args (@t53 @t41 (@list @t69 @t70))) % 0.86/1.07 (step @p221 :rule cnf_and_neg :args (@t52)) % 0.86/1.07 (step @p222 :rule reordering :premises (@p221) :args ((or @t57 @t54 @t52))) % 0.86/1.07 (step @p223 :rule chain_m_resolution :premises (@p222 @p191 @p220) :args (@t54 @t111 (@list @t50 @t52))) % 0.86/1.07 (step @p224 :rule bool-double-not-elim :args (@t51)) % 0.86/1.07 (step @p225 :rule refl :args (@t57)) % 0.86/1.07 (step @p226 :rule refl :args (@t55)) % 0.86/1.07 (step @p227 :rule nary_cong :premises (@p226 @p225 @p224) :args ((or @t55 @t57 (not @t54)))) % 0.86/1.07 (step @p228 :rule cnf_and_neg :args (@t55)) % 0.86/1.07 (step @p229 :rule eq_resolve :premises (@p228 @p227)) % 0.86/1.07 (step @p230 :rule reordering :premises (@p229) :args ((or @t57 @t51 @t55))) % 0.86/1.07 (step @p231 false :rule chain_m_resolution :premises (@p230 @p223 @p191 @p169) :args (false (@list true false true) (@list @t51 @t50 @t55))) % 0.86/1.07 ) % 0.86/1.07 % SZS output end Proof % 0.86/1.07 % cvc5 exiting %------------------------------------------------------------------------------