%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO500^1.002 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 09:12:59 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO500^1.002 : TPTP v9.2.1. Released v4.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n025.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 : Wed Jun 3 00:17:46 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.37/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-const tptp.f0 (-> Bool Bool)) % 0.37/0.57 (declare-const tptp.f1 (-> Bool Bool)) % 0.37/0.57 (declare-const tptp.x Bool) % 0.37/0.57 (define @t1 () (_ tptp.f1 tptp.x)) % 0.37/0.57 (define @t2 () (_ tptp.f1 @t1)) % 0.37/0.57 (define @t3 () (_ tptp.f1 @t2)) % 0.37/0.57 (define @t4 () (_ tptp.f0 @t1)) % 0.37/0.57 (define @t5 () (_ tptp.f0 @t4)) % 0.37/0.57 (define @t6 () (= (_ tptp.f0 @t5) (_ tptp.f0 @t3))) % 0.37/0.57 (define @t7 () (not @t6)) % 0.37/0.57 (define @t8 () (@purify @t5)) % 0.37/0.57 (define @t9 () (tptp.f0 @t8)) % 0.37/0.57 (define @t10 () (@purify @t3)) % 0.37/0.57 (define @t11 () (tptp.f0 @t10)) % 0.37/0.57 (define @t12 () (_ tptp.f0 @t10)) % 0.37/0.57 (define @t13 () (= @t3 @t10)) % 0.37/0.57 (define @t14 () (_ tptp.f0 @t8)) % 0.37/0.57 (define @t15 () (= @t5 @t8)) % 0.37/0.57 (define @t16 () (@purify @t2)) % 0.37/0.57 (define @t17 () (tptp.f1 @t16)) % 0.37/0.57 (define @t18 () (_ tptp.f1 @t16)) % 0.37/0.57 (define @t19 () (= @t2 @t16)) % 0.37/0.57 (define @t20 () (not @t10)) % 0.37/0.57 (define @t21 () (not @t8)) % 0.37/0.57 (define @t22 () (not @t11)) % 0.37/0.57 (define @t23 () (not @t9)) % 0.37/0.57 (define @t24 () (not @t23)) % 0.37/0.57 (define @t25 () (= false true)) % 0.37/0.57 (define @t26 () (and @t11 @t10 @t8 @t23)) % 0.37/0.57 (define @t27 () (@purify @t4)) % 0.37/0.57 (define @t28 () (tptp.f0 @t27)) % 0.37/0.57 (define @t29 () (_ tptp.f0 @t27)) % 0.37/0.57 (define @t30 () (= @t4 @t27)) % 0.37/0.57 (define @t31 () (not @t27)) % 0.37/0.57 (define @t32 () (not @t28)) % 0.37/0.57 (define @t33 () (not @t32)) % 0.37/0.57 (define @t34 () (and @t11 @t10 @t27 @t32)) % 0.37/0.57 (define @t35 () (@purify @t1)) % 0.37/0.57 (define @t36 () (tptp.f0 @t35)) % 0.37/0.57 (define @t37 () (_ tptp.f0 @t35)) % 0.37/0.57 (define @t38 () (= @t1 @t35)) % 0.37/0.57 (define @t39 () (not @t35)) % 0.37/0.57 (define @t40 () (not @t36)) % 0.37/0.57 (define @t41 () (not @t40)) % 0.37/0.57 (define @t42 () (and @t11 @t10 @t35 @t40)) % 0.37/0.57 (define @t43 () (@purify tptp.x)) % 0.37/0.57 (define @t44 () (tptp.f1 @t43)) % 0.37/0.57 (define @t45 () (_ tptp.f1 @t43)) % 0.37/0.57 (define @t46 () (tptp.f1 @t35)) % 0.37/0.57 (define @t47 () (_ tptp.f1 @t35)) % 0.37/0.57 (define @t48 () (not @t16)) % 0.37/0.57 (define @t49 () (not @t43)) % 0.37/0.57 (define @t50 () (not @t17)) % 0.37/0.57 (define @t51 () (not @t44)) % 0.37/0.57 (define @t52 () (not @t51)) % 0.37/0.57 (define @t53 () (and @t17 @t16 @t43 @t51)) % 0.37/0.57 (define @t54 () (not @t46)) % 0.37/0.57 (define @t55 () (not @t49)) % 0.37/0.57 (define @t56 () (not @t39)) % 0.37/0.57 (define @t57 () (and @t46 @t39 @t49 @t51)) % 0.37/0.57 (define @t58 () (not @t48)) % 0.37/0.57 (define @t59 () (and @t17 @t48 @t39)) % 0.37/0.57 (define @t60 () (not @t50)) % 0.37/0.57 (define @t61 () (= true false)) % 0.37/0.57 (define @t62 () (and @t50 @t16 @t35 @t46)) % 0.37/0.57 (define @t63 () (@list false)) % 0.37/0.57 (define @t64 () (and @t54 @t35 @t43 @t44)) % 0.37/0.57 (define @t65 () (and @t50 @t48 @t49 @t44)) % 0.37/0.57 (define @t66 () (@list true true true false)) % 0.37/0.57 (define @t67 () (not @t20)) % 0.37/0.57 (define @t68 () (and @t11 @t20 @t39 @t40)) % 0.37/0.57 (define @t69 () (and @t23 @t8 @t27 @t28)) % 0.37/0.57 (define @t70 () (@list @t28)) % 0.37/0.57 (define @t71 () (not @t21)) % 0.37/0.57 (define @t72 () (and @t11 @t20 @t21 @t23)) % 0.37/0.57 (define @t73 () (@list true)) % 0.37/0.57 (define @t74 () (not @t22)) % 0.37/0.57 (define @t75 () (and @t22 @t10 @t8 @t9)) % 0.37/0.57 (define @t76 () (not @t31)) % 0.37/0.57 (define @t77 () (and @t9 @t21 @t31 @t32)) % 0.37/0.57 (define @t78 () (and @t22 @t10 @t35 @t36)) % 0.37/0.57 (define @t79 () (and @t22 @t20 @t39)) % 0.37/0.57 (define @t80 () (@list true true true)) % 0.37/0.57 (define @t81 () (and @t22 @t20 @t31)) % 0.37/0.57 (assume @p1 @t7) % 0.37/0.57 (assume @p2 true) % 0.37/0.57 (step @p3 :rule eq-symm :args (@t9 @t11)) % 0.37/0.57 (step @p4 :rule refl :args (@t11)) % 0.37/0.57 (step @p5 :rule refl :args (@t12)) % 0.37/0.57 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t12 @t11))) % 0.37/0.57 (step @p7 :rule symm :premises (@p6)) % 0.37/0.57 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.37/0.57 (step @p9 :rule eq-refl :args (@t3)) % 0.37/0.57 (step @p10 :rule skolem_intro :args (@t10)) % 0.37/0.57 (step @p11 :rule refl :args (@t3)) % 0.37/0.57 (step @p12 :rule cong :premises (@p11 @p10) :args (@t13)) % 0.37/0.57 (step @p13 :rule trans :premises (@p12 @p9)) % 0.37/0.57 (step @p14 :rule true_elim :premises (@p13)) % 0.37/0.57 (step @p15 :rule refl :args (tptp.f0)) % 0.37/0.57 (step @p16 :rule ho_cong :premises (@p15 @p14)) % 0.37/0.57 (step @p17 :rule trans :premises (@p16 @p8)) % 0.37/0.57 (step @p18 :rule refl :args (@t9)) % 0.37/0.57 (step @p19 :rule refl :args (@t14)) % 0.37/0.57 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t14 @t9))) % 0.37/0.57 (step @p21 :rule symm :premises (@p20)) % 0.37/0.57 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.37/0.57 (step @p23 :rule eq-refl :args (@t5)) % 0.37/0.57 (step @p24 :rule skolem_intro :args (@t8)) % 0.37/0.57 (step @p25 :rule refl :args (@t5)) % 0.37/0.57 (step @p26 :rule cong :premises (@p25 @p24) :args (@t15)) % 0.37/0.57 (step @p27 :rule trans :premises (@p26 @p23)) % 0.37/0.57 (step @p28 :rule true_elim :premises (@p27)) % 0.37/0.57 (step @p29 :rule ho_cong :premises (@p15 @p28)) % 0.37/0.57 (step @p30 :rule trans :premises (@p29 @p22)) % 0.37/0.57 (step @p31 :rule cong :premises (@p30 @p17) :args (@t6)) % 0.37/0.57 (step @p32 :rule trans :premises (@p31 @p3)) % 0.37/0.57 (step @p33 :rule cong :premises (@p32) :args (@t7)) % 0.37/0.57 (step @p34 :rule eq_resolve :premises (@p1 @p33)) % 0.37/0.57 (step @p35 :rule not_equiv_elim2 :premises (@p34)) % 0.37/0.57 (step @p36 :rule eq-symm :args (@t17 @t10)) % 0.37/0.57 (step @p37 :rule refl :args (@t10)) % 0.37/0.57 (step @p38 :rule refl :args (@t17)) % 0.37/0.57 (step @p39 :rule refl :args (@t18)) % 0.37/0.57 (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t18 @t17))) % 0.37/0.57 (step @p41 :rule symm :premises (@p40)) % 0.37/0.57 (step @p42 :rule eq_resolve :premises (@p39 @p41)) % 0.37/0.57 (step @p43 :rule eq-refl :args (@t2)) % 0.37/0.57 (step @p44 :rule skolem_intro :args (@t16)) % 0.37/0.57 (step @p45 :rule refl :args (@t2)) % 0.37/0.57 (step @p46 :rule cong :premises (@p45 @p44) :args (@t19)) % 0.37/0.57 (step @p47 :rule trans :premises (@p46 @p43)) % 0.37/0.57 (step @p48 :rule true_elim :premises (@p47)) % 0.37/0.57 (step @p49 :rule refl :args (tptp.f1)) % 0.37/0.57 (step @p50 :rule ho_cong :premises (@p49 @p48)) % 0.37/0.57 (step @p51 :rule trans :premises (@p50 @p42)) % 0.37/0.57 (step @p52 :rule cong :premises (@p51 @p37) :args (@t13)) % 0.37/0.57 (step @p53 :rule trans :premises (@p52 @p36)) % 0.37/0.57 (step @p54 :rule eq-symm :args (@t10 @t3)) % 0.37/0.57 (step @p55 :rule trans :premises (@p54 @p53)) % 0.37/0.57 (step @p56 :rule eq_resolve :premises (@p10 @p55)) % 0.37/0.57 (step @p57 :rule equiv_elim1 :premises (@p56)) % 0.37/0.57 (step @p58 :rule reordering :premises (@p57) :args ((or @t17 @t20))) % 0.37/0.57 (step @p59 :rule bool-double-not-elim :args (@t9)) % 0.37/0.57 (step @p60 :rule refl :args (@t21)) % 0.37/0.57 (step @p61 :rule refl :args (@t22)) % 0.37/0.57 (step @p62 :rule refl :args (@t20)) % 0.37/0.57 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60 @p59) :args ((or @t20 @t22 @t21 @t24))) % 0.37/0.57 (assume-push @p771 @t11) % 0.37/0.57 (assume-push @p772 @t10) % 0.37/0.57 (assume-push @p773 @t8) % 0.37/0.57 (assume-push @p774 @t23) % 0.37/0.57 (step @p68 :rule evaluate :args (@t25)) % 0.37/0.57 (step @p69 :rule true_intro :premises (@p771)) % 0.37/0.57 (step @p70 :rule true_intro :premises (@p772)) % 0.37/0.57 (step @p71 :rule symm :premises (@p70)) % 0.37/0.57 (step @p72 :rule true_intro :premises (@p773)) % 0.37/0.57 (step @p73 :rule trans :premises (@p72 @p71)) % 0.37/0.57 (step @p74 :rule cong :premises (@p73) :args (@t9)) % 0.37/0.57 (step @p75 :rule false_intro :premises (@p774)) % 0.37/0.57 (step @p76 :rule symm :premises (@p75)) % 0.37/0.57 (step @p77 :rule trans :premises (@p76 @p74 @p69)) % 0.37/0.57 (step @p78 false :rule eq_resolve :premises (@p77 @p68)) % 0.37/0.57 (step-pop @p775 :rule scope :premises (@p78)) % 0.37/0.57 (step-pop @p776 :rule scope :premises (@p775)) % 0.37/0.57 (step-pop @p777 :rule scope :premises (@p776)) % 0.37/0.57 (step-pop @p778 :rule scope :premises (@p777)) % 0.37/0.57 (step @p79 :rule process_scope :premises (@p778) :args (false)) % 0.37/0.57 (assume-push @p779 @t10) % 0.37/0.57 (assume-push @p780 @t11) % 0.37/0.57 (assume-push @p781 @t8) % 0.37/0.57 (assume-push @p782 @t23) % 0.37/0.57 (step @p88 :rule and_intro :premises (@p780 @p779 @p781 @p782)) % 0.37/0.57 (step-pop @p783 :rule scope :premises (@p88)) % 0.37/0.57 (step-pop @p784 :rule scope :premises (@p783)) % 0.37/0.57 (step-pop @p785 :rule scope :premises (@p784)) % 0.37/0.57 (step-pop @p786 :rule scope :premises (@p785)) % 0.37/0.57 (step @p89 :rule process_scope :premises (@p786) :args (@t26)) % 0.37/0.57 (step @p94 :rule implies_elim :premises (@p89)) % 0.37/0.57 (step @p95 :rule resolution :premises (@p94 @p79) :args (true @t26)) % 0.37/0.57 (step @p96 :rule not_and :premises (@p95)) % 0.37/0.57 (step @p97 :rule eq_resolve :premises (@p96 @p63)) % 0.37/0.57 (step @p98 :rule reordering :premises (@p97) :args ((or @t9 @t22 @t20 @t21))) % 0.37/0.57 (step @p99 :rule eq-symm :args (@t28 @t8)) % 0.37/0.57 (step @p100 :rule refl :args (@t8)) % 0.37/0.57 (step @p101 :rule refl :args (@t28)) % 0.37/0.57 (step @p102 :rule refl :args (@t29)) % 0.37/0.57 (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t29 @t28))) % 0.37/0.57 (step @p104 :rule symm :premises (@p103)) % 0.37/0.57 (step @p105 :rule eq_resolve :premises (@p102 @p104)) % 0.37/0.57 (step @p106 :rule eq-refl :args (@t4)) % 0.37/0.57 (step @p107 :rule skolem_intro :args (@t27)) % 0.37/0.57 (step @p108 :rule refl :args (@t4)) % 0.37/0.57 (step @p109 :rule cong :premises (@p108 @p107) :args (@t30)) % 0.37/0.57 (step @p110 :rule trans :premises (@p109 @p106)) % 0.37/0.57 (step @p111 :rule true_elim :premises (@p110)) % 0.37/0.57 (step @p112 :rule ho_cong :premises (@p15 @p111)) % 0.37/0.57 (step @p113 :rule trans :premises (@p112 @p105)) % 0.37/0.57 (step @p114 :rule cong :premises (@p113 @p100) :args (@t15)) % 0.37/0.57 (step @p115 :rule trans :premises (@p114 @p99)) % 0.37/0.57 (step @p116 :rule eq-symm :args (@t8 @t5)) % 0.37/0.57 (step @p117 :rule trans :premises (@p116 @p115)) % 0.37/0.57 (step @p118 :rule eq_resolve :premises (@p24 @p117)) % 0.37/0.57 (step @p119 :rule equiv_elim2 :premises (@p118)) % 0.37/0.57 (step @p120 :rule bool-double-not-elim :args (@t28)) % 0.37/0.57 (step @p121 :rule refl :args (@t31)) % 0.37/0.57 (step @p122 :rule nary_cong :premises (@p62 @p61 @p121 @p120) :args ((or @t20 @t22 @t31 @t33))) % 0.37/0.57 (assume-push @p787 @t11) % 0.37/0.57 (assume-push @p788 @t10) % 0.37/0.57 (assume-push @p789 @t27) % 0.37/0.57 (assume-push @p790 @t32) % 0.37/0.57 (step @p68 :rule evaluate :args (@t25)) % 0.37/0.57 (step @p127 :rule true_intro :premises (@p787)) % 0.37/0.57 (step @p128 :rule true_intro :premises (@p788)) % 0.37/0.57 (step @p129 :rule symm :premises (@p128)) % 0.37/0.57 (step @p130 :rule true_intro :premises (@p789)) % 0.37/0.57 (step @p131 :rule trans :premises (@p130 @p129)) % 0.37/0.57 (step @p132 :rule cong :premises (@p131) :args (@t28)) % 0.37/0.57 (step @p133 :rule false_intro :premises (@p790)) % 0.37/0.57 (step @p134 :rule symm :premises (@p133)) % 0.37/0.57 (step @p135 :rule trans :premises (@p134 @p132 @p127)) % 0.37/0.57 (step @p136 false :rule eq_resolve :premises (@p135 @p68)) % 0.37/0.57 (step-pop @p791 :rule scope :premises (@p136)) % 0.37/0.57 (step-pop @p792 :rule scope :premises (@p791)) % 0.37/0.57 (step-pop @p793 :rule scope :premises (@p792)) % 0.37/0.57 (step-pop @p794 :rule scope :premises (@p793)) % 0.37/0.57 (step @p137 :rule process_scope :premises (@p794) :args (false)) % 0.37/0.57 (assume-push @p795 @t10) % 0.37/0.57 (assume-push @p796 @t11) % 0.37/0.57 (assume-push @p797 @t27) % 0.37/0.57 (assume-push @p798 @t32) % 0.37/0.57 (step @p146 :rule and_intro :premises (@p796 @p795 @p797 @p798)) % 0.37/0.57 (step-pop @p799 :rule scope :premises (@p146)) % 0.37/0.57 (step-pop @p800 :rule scope :premises (@p799)) % 0.37/0.57 (step-pop @p801 :rule scope :premises (@p800)) % 0.37/0.57 (step-pop @p802 :rule scope :premises (@p801)) % 0.37/0.57 (step @p147 :rule process_scope :premises (@p802) :args (@t34)) % 0.37/0.57 (step @p152 :rule implies_elim :premises (@p147)) % 0.37/0.57 (step @p153 :rule resolution :premises (@p152 @p137) :args (true @t34)) % 0.37/0.57 (step @p154 :rule not_and :premises (@p153)) % 0.37/0.57 (step @p155 :rule eq_resolve :premises (@p154 @p122)) % 0.37/0.57 (step @p156 :rule reordering :premises (@p155) :args ((or @t28 @t22 @t20 @t31))) % 0.37/0.57 (step @p157 :rule eq-symm :args (@t36 @t27)) % 0.37/0.57 (step @p158 :rule refl :args (@t27)) % 0.37/0.57 (step @p159 :rule refl :args (@t36)) % 0.37/0.57 (step @p160 :rule refl :args (@t37)) % 0.37/0.57 (step @p161 :rule cong :premises (@p160 @p159) :args ((= @t37 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@p692 :rule and_intro :premises (@p1002 @p999 @p1000 @p1001)) % 0.37/0.58 (step-pop @p1003 :rule scope :premises (@p692)) % 0.37/0.58 (step-pop @p1004 :rule scope :premises (@p1003)) % 0.37/0.58 (step-pop @p1005 :rule scope :premises (@p1004)) % 0.37/0.58 (step-pop @p1006 :rule scope :premises (@p1005)) % 0.37/0.58 (step @p693 :rule process_scope :premises (@p1006) :args (@t78)) % 0.37/0.58 (step @p698 :rule implies_elim :premises (@p693)) % 0.37/0.58 (step @p699 :rule resolution :premises (@p698 @p683) :args (true @t78)) % 0.37/0.58 (step @p700 :rule not_and :premises (@p699)) % 0.37/0.58 (step @p701 :rule eq_resolve :premises (@p700 @p668)) % 0.37/0.58 (step @p702 :rule reordering :premises (@p701) :args ((or @t11 @t20 @t40 @t39))) % 0.37/0.58 (step @p703 :rule chain_m_resolution :premises (@p362 @p330 @p329 @p702 @p589 @p666 @p664 @p591 @p119 @p628 @p591 @p589 @p58) :args (@t20 (@list true true true true false false false true true false true false) (@list @t46 @t16 @t35 @t11 @t36 @t27 @t9 @t28 @t8 @t9 @t11 @t17))) % 0.37/0.58 (step @p704 :rule chain_m_resolution :premises (@p364 @p703) :args (@t50 @t73 (@list @t10))) % 0.37/0.58 (step @p705 :rule chain_m_resolution :premises (@p477 @p704) :args (@t39 @t73 (@list @t17))) % 0.37/0.58 (step @p706 :rule nary_cong :premises (@p592 @p478 @p292 @p667) :args ((or @t74 @t67 @t56 @t40))) % 0.37/0.58 (assume-push @p1007 @t22) % 0.37/0.58 (assume-push @p1008 @t20) % 0.37/0.58 (assume-push @p1009 @t39) % 0.37/0.58 (assume-push @p1010 @t22) % 0.37/0.58 (assume-push @p1011 @t20) % 0.37/0.58 (assume-push @p1012 @t39) % 0.37/0.58 (step @p713 :rule false_intro :premises (@p1007)) % 0.37/0.58 (step @p714 :rule false_intro :premises (@p1008)) % 0.37/0.58 (step @p715 :rule symm :premises (@p714)) % 0.37/0.58 (step @p716 :rule false_intro :premises (@p1009)) % 0.37/0.58 (step @p717 :rule trans :premises (@p716 @p715)) % 0.37/0.58 (step @p718 :rule cong :premises (@p717) :args (@t36)) % 0.37/0.58 (step @p719 :rule trans :premises (@p718 @p713)) % 0.37/0.58 (step @p720 :rule false_elim :premises (@p719)) % 0.37/0.58 (step-pop @p1013 :rule scope :premises (@p720)) % 0.37/0.58 (step-pop @p1014 :rule scope :premises (@p1013)) % 0.37/0.58 (step-pop @p1015 :rule scope :premises (@p1014)) % 0.37/0.58 (step @p721 :rule process_scope :premises (@p1015) :args (@t40)) % 0.37/0.58 (step @p725 :rule and_intro :premises (@p1007 @p1008 @p1009)) % 0.37/0.58 (step @p726 :rule modus_ponens :premises (@p725 @p721)) % 0.37/0.58 (step-pop @p1016 :rule scope :premises (@p726)) % 0.37/0.58 (step-pop @p1017 :rule scope :premises (@p1016)) % 0.37/0.58 (step-pop @p1018 :rule scope :premises (@p1017)) % 0.37/0.58 (step @p727 :rule process_scope :premises (@p1018) :args (@t40)) % 0.37/0.58 (step @p731 :rule implies_elim :premises (@p727)) % 0.37/0.58 (step @p732 :rule cnf_and_neg :args (@t79)) % 0.37/0.58 (step @p733 :rule resolution :premises (@p732 @p731) :args (true @t79)) % 0.37/0.58 (step @p734 :rule eq_resolve :premises (@p733 @p706)) % 0.37/0.58 (step @p735 :rule reordering :premises (@p734) :args ((or @t10 @t11 @t35 @t40))) % 0.37/0.58 (step @p736 :rule chain_m_resolution :premises (@p735 @p703 @p589 @p705) :args (@t40 @t80 (@list @t10 @t11 @t35))) % 0.37/0.58 (step @p737 :rule chain_m_resolution :premises (@p666 @p736) :args (@t31 @t73 (@list @t36))) % 0.37/0.58 (step @p738 :rule nary_cong :premises (@p592 @p478 @p629 @p516) :args ((or @t74 @t67 @t76 @t32))) % 0.37/0.58 (assume-push @p1019 @t22) % 0.37/0.58 (assume-push @p1020 @t20) % 0.37/0.58 (assume-push @p1021 @t31) % 0.37/0.58 (assume-push @p1022 @t22) % 0.37/0.58 (assume-push @p1023 @t20) % 0.37/0.58 (assume-push @p1024 @t31) % 0.37/0.58 (step @p745 :rule false_intro :premises (@p1019)) % 0.37/0.58 (step @p746 :rule false_intro :premises (@p1020)) % 0.37/0.58 (step @p747 :rule symm :premises (@p746)) % 0.37/0.58 (step @p748 :rule false_intro :premises (@p1021)) % 0.37/0.58 (step @p749 :rule trans :premises (@p748 @p747)) % 0.37/0.58 (step @p750 :rule cong :premises (@p749) :args (@t28)) % 0.37/0.58 (step @p751 :rule trans :premises (@p750 @p745)) % 0.37/0.58 (step @p752 :rule false_elim :premises (@p751)) % 0.37/0.58 (step-pop @p1025 :rule scope :premises (@p752)) % 0.37/0.58 (step-pop @p1026 :rule scope :premises (@p1025)) % 0.37/0.58 (step-pop @p1027 :rule scope :premises (@p1026)) % 0.37/0.58 (step @p753 :rule process_scope :premises (@p1027) :args (@t32)) % 0.37/0.58 (step @p757 :rule and_intro :premises (@p1019 @p1020 @p1021)) % 0.37/0.58 (step @p758 :rule modus_ponens :premises (@p757 @p753)) % 0.37/0.58 (step-pop @p1028 :rule scope :premises (@p758)) % 0.37/0.58 (step-pop @p1029 :rule scope :premises (@p1028)) % 0.37/0.58 (step-pop @p1030 :rule scope :premises (@p1029)) % 0.37/0.58 (step @p759 :rule process_scope :premises (@p1030) :args (@t32)) % 0.37/0.58 (step @p763 :rule implies_elim :premises (@p759)) % 0.37/0.58 (step @p764 :rule cnf_and_neg :args (@t81)) % 0.37/0.58 (step @p765 :rule resolution :premises (@p764 @p763) :args (true @t81)) % 0.37/0.58 (step @p766 :rule eq_resolve :premises (@p765 @p738)) % 0.37/0.58 (step @p767 :rule reordering :premises (@p766) :args ((or @t10 @t11 @t27 @t32))) % 0.37/0.58 (step @p768 :rule chain_m_resolution :premises (@p767 @p703 @p589 @p737) :args (@t32 @t80 (@list @t10 @t11 @t27))) % 0.37/0.58 (step @p769 :rule chain_m_resolution :premises (@p515 @p768) :args (@t21 @t73 @t70)) % 0.37/0.58 (step @p770 false :rule chain_m_resolution :premises (@p664 @p769 @p768 @p737 @p591) :args (false @t66 (@list @t8 @t28 @t27 @t9))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------