%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET159+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 : 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 08:47:32 AM UTC 2026 % Result : Theorem 0.63s 0.83s % Output : Proof 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET159+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 % 0.18/0.35 % Computer : n026.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 15:04:55 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.63/0.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.63/0.83 % SZS status Theorem % 0.63/0.83 % SZS output start Proof % 0.63/0.83 ( % 0.63/0.83 (declare-sort $$unsorted 0) % 0.63/0.83 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.63/0.83 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.63/0.83 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.63/0.83 (define @t1 () (@var "C" $$unsorted)) % 0.63/0.83 (define @t2 () (@var "D" $$unsorted)) % 0.63/0.83 (define @t3 () (tptp.member @t2 @t1)) % 0.63/0.83 (define @t4 () (@var "B" $$unsorted)) % 0.63/0.83 (define @t5 () (tptp.member @t2 @t4)) % 0.63/0.83 (define @t6 () (tptp.union @t4 @t1)) % 0.63/0.83 (define @t7 () (@list @t4 @t1 @t2)) % 0.63/0.83 (define @t8 () (tptp.subset @t4 @t1)) % 0.63/0.83 (define @t9 () (= @t4 @t1)) % 0.63/0.83 (define @t10 () (@list @t4 @t1)) % 0.63/0.83 (define @t11 () (@list @t2)) % 0.63/0.83 (define @t12 () (forall @t10 (= @t9 (forall @t11 (= @t5 @t3))))) % 0.63/0.83 (define @t13 () (forall @t7 (= (tptp.union @t6 @t2) (tptp.union @t4 (tptp.union @t1 @t2))))) % 0.63/0.83 (define @t14 () (@quantifiers_skolemize @t13 2)) % 0.63/0.83 (define @t15 () (@quantifiers_skolemize @t13 1)) % 0.63/0.83 (define @t16 () (@quantifiers_skolemize @t13 0)) % 0.63/0.83 (define @t17 () (tptp.union @t16 @t15)) % 0.63/0.83 (define @t18 () (tptp.union @t17 @t14)) % 0.63/0.83 (define @t19 () (tptp.member @t2 @t18)) % 0.63/0.83 (define @t20 () (tptp.union @t15 @t14)) % 0.63/0.83 (define @t21 () (tptp.union @t16 @t20)) % 0.63/0.83 (define @t22 () (forall @t11 (= (tptp.member @t2 @t21) @t19))) % 0.63/0.83 (define @t23 () (@quantifiers_skolemize @t22 0)) % 0.63/0.83 (define @t24 () (not (tptp.member @t2 @t15))) % 0.63/0.83 (define @t25 () (forall @t11 (or @t24 @t19))) % 0.63/0.83 (define @t26 () (@quantifiers_skolemize @t25 0)) % 0.63/0.83 (define @t27 () (tptp.member @t26 @t15)) % 0.63/0.83 (define @t28 () (tptp.member @t26 @t18)) % 0.63/0.83 (define @t29 () (not @t27)) % 0.63/0.83 (define @t30 () (or @t29 @t28)) % 0.63/0.83 (define @t31 () (tptp.member @t2 @t17)) % 0.63/0.83 (define @t32 () (forall @t11 (or @t24 @t31))) % 0.63/0.83 (define @t33 () (@quantifiers_skolemize @t32 0)) % 0.63/0.83 (define @t34 () (tptp.member @t33 @t15)) % 0.63/0.83 (define @t35 () (tptp.member @t33 @t17)) % 0.63/0.83 (define @t36 () (not @t34)) % 0.63/0.83 (define @t37 () (or @t36 @t35)) % 0.63/0.83 (define @t38 () (or (tptp.member @t33 @t16) @t34)) % 0.63/0.83 (define @t39 () (= @t35 @t38)) % 0.63/0.83 (define @t40 () (@list false false true false)) % 0.63/0.83 (define @t41 () (not @t37)) % 0.63/0.83 (define @t42 () (not @t32)) % 0.63/0.83 (define @t43 () (@list false)) % 0.63/0.83 (define @t44 () (tptp.member @t26 @t17)) % 0.63/0.83 (define @t45 () (or @t29 @t44)) % 0.63/0.83 (define @t46 () (or @t44 (tptp.member @t26 @t14))) % 0.63/0.83 (define @t47 () (= @t28 @t46)) % 0.63/0.83 (define @t48 () (@list true false false false true false)) % 0.63/0.83 (define @t49 () (not @t30)) % 0.63/0.83 (define @t50 () (not @t25)) % 0.63/0.83 (define @t51 () (@list @t23)) % 0.63/0.83 (define @t52 () (tptp.member @t23 @t18)) % 0.63/0.83 (define @t53 () (tptp.member @t23 @t15)) % 0.63/0.83 (define @t54 () (not @t53)) % 0.63/0.83 (define @t55 () (or @t54 @t52)) % 0.63/0.83 (define @t56 () (tptp.member @t23 @t16)) % 0.63/0.83 (define @t57 () (tptp.member @t23 @t20)) % 0.63/0.83 (define @t58 () (or @t57 @t56)) % 0.63/0.83 (define @t59 () (tptp.union @t20 @t16)) % 0.63/0.83 (define @t60 () (tptp.member @t23 @t59)) % 0.63/0.83 (define @t61 () (= @t60 @t58)) % 0.63/0.83 (define @t62 () (not @t61)) % 0.63/0.83 (define @t63 () (not @t58)) % 0.63/0.83 (define @t64 () (tptp.member @t23 @t14)) % 0.63/0.83 (define @t65 () (or @t53 @t64)) % 0.63/0.83 (define @t66 () (= @t57 @t65)) % 0.63/0.83 (define @t67 () (not @t66)) % 0.63/0.83 (define @t68 () (not @t65)) % 0.63/0.83 (define @t69 () (not @t64)) % 0.63/0.83 (define @t70 () (or @t56 @t53)) % 0.63/0.83 (define @t71 () (tptp.member @t23 @t17)) % 0.63/0.83 (define @t72 () (= @t71 @t70)) % 0.63/0.83 (define @t73 () (or @t71 @t64)) % 0.63/0.83 (define @t74 () (not @t73)) % 0.63/0.83 (define @t75 () (= @t52 @t73)) % 0.63/0.83 (define @t76 () (not @t75)) % 0.63/0.83 (define @t77 () (not @t52)) % 0.63/0.83 (define @t78 () (= (= @t21 @t18) @t22)) % 0.63/0.83 (define @t79 () (= @t18 @t21)) % 0.63/0.83 (define @t80 () (= @t79 @t22)) % 0.63/0.83 (define @t81 () (not @t22)) % 0.63/0.83 (define @t82 () (@list true false)) % 0.63/0.83 (define @t83 () (tptp.member @t23 @t21)) % 0.63/0.83 (define @t84 () (= @t83 @t52)) % 0.63/0.83 (define @t85 () (not @t83)) % 0.63/0.83 (define @t86 () (= @t21 @t59)) % 0.63/0.83 (define @t87 () (not @t86)) % 0.63/0.83 (define @t88 () (not @t60)) % 0.63/0.83 (define @t89 () (and @t86 @t88)) % 0.63/0.83 (define @t90 () (and @t86 @t60)) % 0.63/0.83 (define @t91 () (@list false false)) % 0.63/0.83 (define @t92 () (not (tptp.member @t2 @t16))) % 0.63/0.83 (define @t93 () (forall @t11 (or @t92 @t19))) % 0.63/0.83 (define @t94 () (@quantifiers_skolemize @t93 0)) % 0.63/0.83 (define @t95 () (tptp.member @t94 @t16)) % 0.63/0.83 (define @t96 () (tptp.member @t94 @t18)) % 0.63/0.83 (define @t97 () (not @t95)) % 0.63/0.83 (define @t98 () (or @t97 @t96)) % 0.63/0.83 (define @t99 () (forall @t11 (or @t92 @t31))) % 0.63/0.83 (define @t100 () (@quantifiers_skolemize @t99 0)) % 0.63/0.83 (define @t101 () (tptp.member @t100 @t16)) % 0.63/0.83 (define @t102 () (tptp.member @t100 @t17)) % 0.63/0.83 (define @t103 () (not @t101)) % 0.63/0.83 (define @t104 () (or @t103 @t102)) % 0.63/0.83 (define @t105 () (or @t101 (tptp.member @t100 @t15))) % 0.63/0.83 (define @t106 () (= @t102 @t105)) % 0.63/0.83 (define @t107 () (not @t104)) % 0.63/0.83 (define @t108 () (not @t99)) % 0.63/0.83 (define @t109 () (tptp.member @t94 @t17)) % 0.63/0.83 (define @t110 () (or @t97 @t109)) % 0.63/0.83 (define @t111 () (or @t109 (tptp.member @t94 @t14))) % 0.63/0.83 (define @t112 () (= @t96 @t111)) % 0.63/0.83 (define @t113 () (not @t98)) % 0.63/0.83 (define @t114 () (not @t93)) % 0.63/0.83 (define @t115 () (not @t56)) % 0.63/0.83 (define @t116 () (or @t115 @t52)) % 0.63/0.83 (assume @p1 (forall @t7 (= (tptp.member @t2 @t6) (or @t5 @t3)))) % 0.63/0.83 (assume @p2 (forall @t10 (= @t9 (and @t8 (tptp.subset @t1 @t4))))) % 0.63/0.83 (assume @p3 (forall @t10 (= @t6 (tptp.union @t1 @t4)))) % 0.63/0.83 (assume @p4 (forall @t10 (= @t8 (forall @t11 (=> @t5 @t3))))) % 0.63/0.83 (assume @p5 (forall (@list @t4) (tptp.subset @t4 @t4))) % 0.63/0.83 (assume @p6 @t12) % 0.63/0.83 (assume @p7 (not @t13)) % 0.63/0.83 (assume @p8 true) % 0.63/0.83 (step @p9 :rule instantiate :premises (@p1) :args ((@list @t15 @t14 @t23))) % 0.63/0.83 (step @p10 :rule bool-double-not-elim :args (@t27)) % 0.63/0.83 (step @p11 :rule refl :args (@t30)) % 0.63/0.83 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or @t30 (not @t29)))) % 0.63/0.83 (step @p13 :rule cnf_or_neg :args (@t30 0)) % 0.63/0.83 (step @p14 :rule eq_resolve :premises (@p13 @p12)) % 0.63/0.83 (step @p15 :rule reordering :premises (@p14) :args ((or @t27 @t30))) % 0.63/0.83 (step @p16 :rule cnf_or_neg :args (@t30 1)) % 0.63/0.83 (step @p17 :rule bool-double-not-elim :args (@t34)) % 0.63/0.83 (step @p18 :rule refl :args (@t37)) % 0.63/0.83 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or @t37 (not @t36)))) % 0.63/0.83 (step @p20 :rule cnf_or_neg :args (@t37 0)) % 0.63/0.83 (step @p21 :rule eq_resolve :premises (@p20 @p19)) % 0.63/0.83 (step @p22 :rule reordering :premises (@p21) :args ((or @t34 @t37))) % 0.63/0.83 (step @p23 :rule cnf_or_neg :args (@t37 1)) % 0.63/0.83 (step @p24 :rule cnf_or_neg :args (@t38 1)) % 0.63/0.83 (step @p25 :rule reordering :premises (@p24) :args ((or @t36 @t38))) % 0.63/0.83 (step @p26 :rule instantiate :premises (@p1) :args ((@list @t16 @t15 @t33))) % 0.63/0.83 (step @p27 :rule cnf_equiv_pos2 :args (@t39)) % 0.63/0.83 (step @p28 :rule reordering :premises (@p27) :args ((or @t35 (not @t38) (not @t39)))) % 0.63/0.83 (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p25 @p23 @p22) :args (@t37 @t40 (@list @t39 @t38 @t35 @t34))) % 0.63/0.83 (step @p30 :rule refl :args (@t41)) % 0.63/0.83 (step @p31 :rule bool-double-not-elim :args (@t32)) % 0.63/0.83 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or (not @t42) @t41))) % 0.63/0.83 (assume-push @p241 @t42) % 0.63/0.83 (step @p34 :rule skolemize :premises (@p241)) % 0.63/0.83 (step-pop @p242 :rule scope :premises (@p34)) % 0.63/0.83 (step @p35 :rule process_scope :premises (@p242) :args (@t41)) % 0.63/0.83 (step @p37 :rule implies_elim :premises (@p35)) % 0.63/0.83 (step @p38 :rule eq_resolve :premises (@p37 @p32)) % 0.63/0.83 (step @p39 :rule chain_m_resolution :premises (@p38 @p29) :args (@t32 @t43 (@list @t37))) % 0.63/0.83 (assume-push @p243 @t32) % 0.63/0.83 (step @p41 :rule instantiate :premises (@p243) :args ((@list @t26))) % 0.63/0.83 (step-pop @p244 :rule scope :premises (@p41)) % 0.63/0.83 (step @p42 :rule process_scope :premises (@p244) :args (@t45)) % 0.63/0.83 (step @p44 :rule implies_elim :premises (@p42)) % 0.63/0.83 (step @p45 :rule chain_m_resolution :premises (@p44 @p39) :args (@t45 @t43 (@list @t32))) % 0.63/0.84 (step @p46 :rule cnf_or_pos :args (@t45)) % 0.63/0.84 (step @p47 :rule reordering :premises (@p46) :args ((or @t29 @t44 (not @t45)))) % 0.63/0.84 (step @p48 :rule instantiate :premises (@p1) :args ((@list @t17 @t14 @t26))) % 0.63/0.84 (step @p49 :rule cnf_equiv_pos2 :args (@t47)) % 0.63/0.84 (step @p50 :rule reordering :premises (@p49) :args ((or @t28 (not @t46) (not @t47)))) % 0.63/0.84 (step @p51 :rule cnf_or_neg :args (@t46 0)) % 0.63/0.84 (step @p52 :rule chain_m_resolution :premises (@p51 @p50 @p48 @p47 @p45 @p16 @p15) :args (@t30 @t48 (@list @t46 @t47 @t44 @t45 @t28 @t27))) % 0.63/0.84 (step @p53 :rule refl :args (@t49)) % 0.63/0.84 (step @p54 :rule bool-double-not-elim :args (@t25)) % 0.63/0.84 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or (not @t50) @t49))) % 0.63/0.84 (assume-push @p245 @t50) % 0.63/0.84 (step @p57 :rule skolemize :premises (@p245)) % 0.63/0.84 (step-pop @p246 :rule scope :premises (@p57)) % 0.63/0.84 (step @p58 :rule process_scope :premises (@p246) :args (@t49)) % 0.63/0.84 (step @p60 :rule implies_elim :premises (@p58)) % 0.63/0.84 (step @p61 :rule eq_resolve :premises (@p60 @p55)) % 0.63/0.84 (step @p62 :rule chain_m_resolution :premises (@p61 @p52) :args (@t25 @t43 (@list @t30))) % 0.63/0.84 (assume-push @p247 @t25) % 0.63/0.84 (step @p64 :rule instantiate :premises (@p247) :args (@t51)) % 0.63/0.84 (step-pop @p248 :rule scope :premises (@p64)) % 0.63/0.84 (step @p65 :rule process_scope :premises (@p248) :args (@t55)) % 0.63/0.84 (step @p67 :rule implies_elim :premises (@p65)) % 0.63/0.84 (step @p68 :rule chain_m_resolution :premises (@p67 @p62) :args (@t55 @t43 (@list @t25))) % 0.63/0.84 (step @p69 :rule instantiate :premises (@p1) :args ((@list @t20 @t16 @t23))) % 0.63/0.84 (step @p70 :rule cnf_equiv_pos2 :args (@t61)) % 0.63/0.84 (step @p71 :rule reordering :premises (@p70) :args ((or @t60 @t63 @t62))) % 0.63/0.84 (step @p72 :rule cnf_or_neg :args (@t58 0)) % 0.63/0.84 (step @p73 :rule cnf_or_neg :args (@t58 1)) % 0.63/0.84 (step @p74 :rule cnf_equiv_pos2 :args (@t66)) % 0.63/0.84 (step @p75 :rule reordering :premises (@p74) :args ((or @t57 @t68 @t67))) % 0.63/0.84 (step @p76 :rule cnf_or_neg :args (@t65 0)) % 0.63/0.84 (step @p77 :rule reordering :premises (@p76) :args ((or @t54 @t65))) % 0.63/0.84 (step @p78 :rule cnf_or_neg :args (@t65 1)) % 0.63/0.84 (step @p79 :rule reordering :premises (@p78) :args ((or @t69 @t65))) % 0.63/0.84 (step @p80 :rule cnf_or_pos :args (@t70)) % 0.63/0.84 (step @p81 :rule reordering :premises (@p80) :args ((or @t56 @t53 (not @t70)))) % 0.63/0.84 (step @p82 :rule instantiate :premises (@p1) :args ((@list @t16 @t15 @t23))) % 0.63/0.84 (step @p83 :rule cnf_equiv_pos1 :args (@t72)) % 0.63/0.84 (step @p84 :rule reordering :premises (@p83) :args ((or (not @t71) @t70 (not @t72)))) % 0.63/0.84 (step @p85 :rule cnf_or_pos :args (@t73)) % 0.63/0.84 (step @p86 :rule reordering :premises (@p85) :args ((or @t71 @t64 @t74))) % 0.63/0.84 (step @p87 :rule instantiate :premises (@p1) :args ((@list @t17 @t14 @t23))) % 0.63/0.84 (step @p88 :rule cnf_equiv_pos1 :args (@t75)) % 0.63/0.84 (step @p89 :rule reordering :premises (@p88) :args ((or @t77 @t73 @t76))) % 0.63/0.84 (step @p90 :rule refl :args (@t22)) % 0.63/0.84 (step @p91 :rule eq-symm :args (@t21 @t18)) % 0.63/0.84 (step @p92 :rule cong :premises (@p91 @p90) :args (@t78)) % 0.63/0.84 (step @p93 :rule refl :args (@t12)) % 0.63/0.84 (step @p94 :rule cong :premises (@p93 @p92) :args ((=> @t12 @t78))) % 0.63/0.84 (assume-push @p249 @t12) % 0.63/0.84 (step @p96 :rule instantiate :premises (@p6) :args ((@list @t21 @t18))) % 0.63/0.84 (step-pop @p250 :rule scope :premises (@p96)) % 0.63/0.84 (step @p97 :rule process_scope :premises (@p250) :args (@t78)) % 0.63/0.84 (step @p99 :rule eq_resolve :premises (@p97 @p94)) % 0.63/0.84 (step @p100 :rule implies_elim :premises (@p99)) % 0.63/0.84 (step @p101 :rule chain_m_resolution :premises (@p100 @p6) :args (@t80 @t43 (@list @t12))) % 0.63/0.84 (step @p102 :rule skolemize :premises (@p7)) % 0.63/0.84 (step @p103 :rule cnf_equiv_pos2 :args (@t80)) % 0.63/0.84 (step @p104 :rule reordering :premises (@p103) :args ((or @t79 @t81 (not @t80)))) % 0.63/0.84 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p101) :args (@t81 @t82 (@list @t79 @t80))) % 0.63/0.84 (step @p106 :rule skolemize :premises (@p105)) % 0.63/0.84 (step @p107 :rule cnf_equiv_neg1 :args (@t84)) % 0.63/0.84 (step @p108 :rule reordering :premises (@p107) :args ((or @t83 @t52 @t84))) % 0.63/0.84 (step @p109 :rule instantiate :premises (@p3) :args ((@list @t16 @t20))) % 0.63/0.84 (step @p110 :rule refl :args (@t85)) % 0.63/0.84 (step @p111 :rule bool-double-not-elim :args (@t60)) % 0.63/0.84 (step @p112 :rule refl :args (@t87)) % 0.63/0.84 (step @p113 :rule nary_cong :premises (@p112 @p111 @p110) :args ((or @t87 (not @t88) @t85))) % 0.63/0.84 (assume-push @p251 @t86) % 0.63/0.84 (assume-push @p252 @t88) % 0.63/0.84 (assume-push @p253 @t88) % 0.63/0.84 (assume-push @p254 @t86) % 0.63/0.84 (step @p118 :rule false_intro :premises (@p252)) % 0.63/0.84 (step @p119 :rule refl :args (@t23)) % 0.63/0.84 (step @p120 :rule cong :premises (@p119 @p109) :args (@t83)) % 0.63/0.84 (step @p121 :rule trans :premises (@p120 @p118)) % 0.63/0.84 (step @p122 :rule false_elim :premises (@p121)) % 0.63/0.84 (step-pop @p255 :rule scope :premises (@p122)) % 0.63/0.84 (step-pop @p256 :rule scope :premises (@p255)) % 0.63/0.84 (step @p123 :rule process_scope :premises (@p256) :args (@t85)) % 0.63/0.84 (step @p126 :rule and_intro :premises (@p252 @p109)) % 0.63/0.84 (step @p127 :rule modus_ponens :premises (@p126 @p123)) % 0.63/0.84 (step-pop @p257 :rule scope :premises (@p127)) % 0.63/0.84 (step-pop @p258 :rule scope :premises (@p257)) % 0.63/0.84 (step @p128 :rule process_scope :premises (@p258) :args (@t85)) % 0.63/0.84 (step @p131 :rule implies_elim :premises (@p128)) % 0.63/0.84 (step @p132 :rule cnf_and_neg :args (@t89)) % 0.63/0.84 (step @p133 :rule resolution :premises (@p132 @p131) :args (true @t89)) % 0.63/0.84 (step @p134 :rule eq_resolve :premises (@p133 @p113)) % 0.63/0.84 (step @p135 :rule reordering :premises (@p134) :args ((or @t87 @t85 @t60))) % 0.63/0.84 (step @p136 :rule chain_m_resolution :premises (@p135 @p109 @p108 @p106 @p89 @p87 @p86 @p84 @p82 @p81 @p79 @p77 @p75 @p9 @p73 @p72 @p71 @p69) :args (@t60 (@list false false true true false true true false true true true true false true true true false) (@list @t86 @t83 @t84 @t52 @t75 @t73 @t71 @t72 @t70 @t64 @t53 @t65 @t66 @t56 @t57 @t58 @t61))) % 0.63/0.84 (assume-push @p259 @t86) % 0.63/0.84 (assume-push @p260 @t60) % 0.63/0.84 (assume-push @p261 @t60) % 0.63/0.84 (assume-push @p262 @t86) % 0.63/0.84 (step @p141 :rule true_intro :premises (@p260)) % 0.63/0.84 (step @p119 :rule refl :args (@t23)) % 0.63/0.84 (step @p120 :rule cong :premises (@p119 @p109) :args (@t83)) % 0.63/0.84 (step @p142 :rule trans :premises (@p120 @p141)) % 0.63/0.84 (step @p143 :rule true_elim :premises (@p142)) % 0.63/0.84 (step-pop @p263 :rule scope :premises (@p143)) % 0.63/0.84 (step-pop @p264 :rule scope :premises (@p263)) % 0.63/0.84 (step @p144 :rule process_scope :premises (@p264) :args (@t83)) % 0.63/0.84 (step @p147 :rule and_intro :premises (@p260 @p109)) % 0.63/0.84 (step @p148 :rule modus_ponens :premises (@p147 @p144)) % 0.63/0.84 (step-pop @p265 :rule scope :premises (@p148)) % 0.63/0.84 (step-pop @p266 :rule scope :premises (@p265)) % 0.63/0.84 (step @p149 :rule process_scope :premises (@p266) :args (@t83)) % 0.63/0.84 (step @p152 :rule implies_elim :premises (@p149)) % 0.63/0.84 (step @p153 :rule cnf_and_neg :args (@t90)) % 0.63/0.84 (step @p154 :rule resolution :premises (@p153 @p152) :args (true @t90)) % 0.63/0.84 (step @p155 :rule reordering :premises (@p154) :args ((or @t87 @t83 @t88))) % 0.63/0.84 (step @p156 :rule chain_m_resolution :premises (@p155 @p109 @p136) :args (@t83 @t91 (@list @t86 @t60))) % 0.63/0.84 (step @p157 :rule cnf_equiv_neg2 :args (@t84)) % 0.63/0.84 (step @p158 :rule chain_m_resolution :premises (@p157 @p106 @p156) :args (@t77 @t82 (@list @t84 @t83))) % 0.63/0.84 (step @p159 :rule cnf_or_pos :args (@t55)) % 0.63/0.84 (step @p160 :rule reordering :premises (@p159) :args ((or @t52 @t54 (not @t55)))) % 0.63/0.84 (step @p161 :rule chain_m_resolution :premises (@p160 @p158 @p68) :args (@t54 @t82 (@list @t52 @t55))) % 0.63/0.84 (step @p162 :rule cnf_equiv_pos2 :args (@t75)) % 0.63/0.84 (step @p163 :rule reordering :premises (@p162) :args ((or @t52 @t74 @t76))) % 0.63/0.84 (step @p164 :rule chain_m_resolution :premises (@p163 @p158 @p87) :args (@t74 @t82 (@list @t52 @t75))) % 0.63/0.84 (step @p165 :rule cnf_or_neg :args (@t73 1)) % 0.63/0.84 (step @p166 :rule chain_m_resolution :premises (@p165 @p164) :args (@t69 (@list true) (@list @t73))) % 0.63/0.84 (step @p167 :rule cnf_or_pos :args (@t65)) % 0.63/0.84 (step @p168 :rule reordering :premises (@p167) :args ((or @t64 @t53 @t68))) % 0.63/0.84 (step @p169 :rule chain_m_resolution :premises (@p168 @p166 @p161) :args (@t68 (@list true true) (@list @t64 @t53))) % 0.63/0.84 (step @p170 :rule cnf_equiv_pos1 :args (@t61)) % 0.63/0.84 (step @p171 :rule reordering :premises (@p170) :args ((or @t58 @t88 @t62))) % 0.63/0.84 (step @p172 :rule chain_m_resolution :premises (@p171 @p136 @p69) :args (@t58 @t91 (@list @t60 @t61))) % 0.63/0.84 (step @p173 :rule bool-double-not-elim :args (@t95)) % 0.63/0.84 (step @p174 :rule refl :args (@t98)) % 0.63/0.84 (step @p175 :rule nary_cong :premises (@p174 @p173) :args ((or @t98 (not @t97)))) % 0.63/0.84 (step @p176 :rule cnf_or_neg :args (@t98 0)) % 0.63/0.84 (step @p177 :rule eq_resolve :premises (@p176 @p175)) % 0.63/0.84 (step @p178 :rule reordering :premises (@p177) :args ((or @t95 @t98))) % 0.63/0.84 (step @p179 :rule cnf_or_neg :args (@t98 1)) % 0.63/0.84 (step @p180 :rule bool-double-not-elim :args (@t101)) % 0.63/0.84 (step @p181 :rule refl :args (@t104)) % 0.63/0.84 (step @p182 :rule nary_cong :premises (@p181 @p180) :args ((or @t104 (not @t103)))) % 0.63/0.84 (step @p183 :rule cnf_or_neg :args (@t104 0)) % 0.63/0.84 (step @p184 :rule eq_resolve :premises (@p183 @p182)) % 0.63/0.84 (step @p185 :rule reordering :premises (@p184) :args ((or @t101 @t104))) % 0.63/0.84 (step @p186 :rule cnf_or_neg :args (@t104 1)) % 0.63/0.84 (step @p187 :rule cnf_or_neg :args (@t105 0)) % 0.63/0.84 (step @p188 :rule reordering :premises (@p187) :args ((or @t103 @t105))) % 0.63/0.84 (step @p189 :rule instantiate :premises (@p1) :args ((@list @t16 @t15 @t100))) % 0.63/0.84 (step @p190 :rule cnf_equiv_pos2 :args (@t106)) % 0.63/0.84 (step @p191 :rule reordering :premises (@p190) :args ((or @t102 (not @t105) (not @t106)))) % 0.63/0.84 (step @p192 :rule chain_m_resolution :premises (@p191 @p189 @p188 @p186 @p185) :args (@t104 @t40 (@list @t106 @t105 @t102 @t101))) % 0.63/0.84 (step @p193 :rule refl :args (@t107)) % 0.63/0.84 (step @p194 :rule bool-double-not-elim :args (@t99)) % 0.63/0.84 (step @p195 :rule nary_cong :premises (@p194 @p193) :args ((or (not @t108) @t107))) % 0.63/0.84 (assume-push @p267 @t108) % 0.63/0.84 (step @p197 :rule skolemize :premises (@p267)) % 0.63/0.84 (step-pop @p268 :rule scope :premises (@p197)) % 0.63/0.84 (step @p198 :rule process_scope :premises (@p268) :args (@t107)) % 0.63/0.84 (step @p200 :rule implies_elim :premises (@p198)) % 0.63/0.84 (step @p201 :rule eq_resolve :premises (@p200 @p195)) % 0.63/0.84 (step @p202 :rule chain_m_resolution :premises (@p201 @p192) :args (@t99 @t43 (@list @t104))) % 0.63/0.84 (assume-push @p269 @t99) % 0.63/0.84 (step @p204 :rule instantiate :premises (@p269) :args ((@list @t94))) % 0.63/0.84 (step-pop @p270 :rule scope :premises (@p204)) % 0.63/0.84 (step @p205 :rule process_scope :premises (@p270) :args (@t110)) % 0.63/0.84 (step @p207 :rule implies_elim :premises (@p205)) % 0.63/0.84 (step @p208 :rule chain_m_resolution :premises (@p207 @p202) :args (@t110 @t43 (@list @t99))) % 0.63/0.84 (step @p209 :rule cnf_or_pos :args (@t110)) % 0.63/0.84 (step @p210 :rule reordering :premises (@p209) :args ((or @t97 @t109 (not @t110)))) % 0.63/0.84 (step @p211 :rule instantiate :premises (@p1) :args ((@list @t17 @t14 @t94))) % 0.63/0.84 (step @p212 :rule cnf_equiv_pos2 :args (@t112)) % 0.63/0.84 (step @p213 :rule reordering :premises (@p212) :args ((or @t96 (not @t111) (not @t112)))) % 0.63/0.84 (step @p214 :rule cnf_or_neg :args (@t111 0)) % 0.63/0.84 (step @p215 :rule chain_m_resolution :premises (@p214 @p213 @p211 @p210 @p208 @p179 @p178) :args (@t98 @t48 (@list @t111 @t112 @t109 @t110 @t96 @t95))) % 0.63/0.84 (step @p216 :rule refl :args (@t113)) % 0.63/0.84 (step @p217 :rule bool-double-not-elim :args (@t93)) % 0.63/0.84 (step @p218 :rule nary_cong :premises (@p217 @p216) :args ((or (not @t114) @t113))) % 0.63/0.84 (assume-push @p271 @t114) % 0.63/0.84 (step @p220 :rule skolemize :premises (@p271)) % 0.63/0.84 (step-pop @p272 :rule scope :premises (@p220)) % 0.63/0.84 (step @p221 :rule process_scope :premises (@p272) :args (@t113)) % 0.63/0.84 (step @p223 :rule implies_elim :premises (@p221)) % 0.63/0.84 (step @p224 :rule eq_resolve :premises (@p223 @p218)) % 0.63/0.84 (step @p225 :rule chain_m_resolution :premises (@p224 @p215) :args (@t93 @t43 (@list @t98))) % 0.63/0.84 (assume-push @p273 @t93) % 0.63/0.84 (step @p227 :rule instantiate :premises (@p273) :args (@t51)) % 0.63/0.84 (step-pop @p274 :rule scope :premises (@p227)) % 0.63/0.84 (step @p228 :rule process_scope :premises (@p274) :args (@t116)) % 0.63/0.84 (step @p230 :rule implies_elim :premises (@p228)) % 0.63/0.84 (step @p231 :rule chain_m_resolution :premises (@p230 @p225) :args (@t116 @t43 (@list @t93))) % 0.63/0.84 (step @p232 :rule cnf_or_pos :args (@t116)) % 0.63/0.84 (step @p233 :rule reordering :premises (@p232) :args ((or @t52 @t115 (not @t116)))) % 0.63/0.84 (step @p234 :rule chain_m_resolution :premises (@p233 @p158 @p231) :args (@t115 @t82 (@list @t52 @t116))) % 0.63/0.84 (step @p235 :rule cnf_or_pos :args (@t58)) % 0.63/0.84 (step @p236 :rule reordering :premises (@p235) :args ((or @t57 @t56 @t63))) % 0.63/0.84 (step @p237 :rule chain_m_resolution :premises (@p236 @p234 @p172) :args (@t57 @t82 (@list @t56 @t58))) % 0.63/0.84 (step @p238 :rule cnf_equiv_pos1 :args (@t66)) % 0.63/0.84 (step @p239 :rule reordering :premises (@p238) :args ((or (not @t57) @t65 @t67))) % 0.63/0.84 (step @p240 false :rule chain_m_resolution :premises (@p239 @p237 @p169 @p9) :args (false (@list false true false) (@list @t57 @t65 @t66))) % 0.63/0.84 ) % 0.63/0.84 % SZS output end Proof % 0.63/0.84 % cvc5 exiting %------------------------------------------------------------------------------