%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO042^1 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 09:11:51 AM UTC 2026 % Result : Unsatisfiable 0.27s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO042^1 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 23:52:10 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TH0 % 0.27/0.51 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.27/0.55 % SZS status Unsatisfiable % 0.27/0.55 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-const tptp.y Bool) % 0.37/0.56 (declare-const tptp.x Bool) % 0.37/0.56 (declare-const tptp.g (-> Bool Bool)) % 0.37/0.56 (declare-const tptp.p (-> (-> Bool Bool) Bool)) % 0.37/0.56 (define @t1 () (@var "_lvar_0" Bool)) % 0.37/0.56 (define @t2 () (lambda (@list @t1) (not @t1))) % 0.37/0.56 (define @t3 () (not (_ tptp.p @t2))) % 0.37/0.56 (define @t4 () (_ tptp.p tptp.g)) % 0.37/0.56 (define @t5 () (_ tptp.g tptp.y)) % 0.37/0.56 (define @t6 () (_ tptp.g tptp.x)) % 0.37/0.56 (define @t7 () (= tptp.x tptp.y)) % 0.37/0.56 (define @t8 () (not @t7)) % 0.37/0.56 (define @t9 () (@purify tptp.x)) % 0.37/0.56 (define @t10 () (tptp.g @t9)) % 0.37/0.56 (define @t11 () (_ tptp.g @t9)) % 0.37/0.56 (define @t12 () (= tptp.x @t6)) % 0.37/0.56 (define @t13 () (@purify @t6)) % 0.37/0.56 (define @t14 () (tptp.g @t13)) % 0.37/0.56 (define @t15 () (_ tptp.g @t13)) % 0.37/0.56 (define @t16 () (= @t6 @t13)) % 0.37/0.56 (define @t17 () (not tptp.x)) % 0.37/0.56 (define @t18 () (tptp.p tptp.g)) % 0.37/0.56 (define @t19 () (@var "BOUND_VARIABLE_7488" Bool)) % 0.37/0.56 (define @t20 () (= @t19 true)) % 0.37/0.56 (define @t21 () (@list @t19)) % 0.37/0.56 (define @t22 () (lambda @t21 (ite @t20 false true))) % 0.37/0.56 (define @t23 () (@purify @t22)) % 0.37/0.56 (define @t24 () (tptp.p @t23)) % 0.37/0.56 (define @t25 () (_ tptp.p @t23)) % 0.37/0.56 (define @t26 () (not @t20)) % 0.37/0.56 (define @t27 () (= tptp.g @t23)) % 0.37/0.56 (define @t28 () (not @t27)) % 0.37/0.56 (define @t29 () (not @t18)) % 0.37/0.56 (define @t30 () (not @t24)) % 0.37/0.56 (define @t31 () (and @t18 @t27 @t30)) % 0.37/0.56 (define @t32 () (@const 0 Bool)) % 0.37/0.56 (define @t33 () (@purify @t32)) % 0.37/0.56 (define @t34 () (tptp.g @t33)) % 0.37/0.56 (define @t35 () (not @t33)) % 0.37/0.56 (define @t36 () (not @t32)) % 0.37/0.56 (define @t37 () (= @t32 true)) % 0.37/0.56 (define @t38 () (not @t37)) % 0.37/0.56 (define @t39 () (_ @t22 @t32)) % 0.37/0.56 (define @t40 () (_ @t23 @t32)) % 0.37/0.56 (define @t41 () (tptp.g @t32)) % 0.37/0.56 (define @t42 () (= @t41 @t40)) % 0.37/0.56 (define @t43 () (not @t42)) % 0.37/0.56 (define @t44 () (or @t27 @t43)) % 0.37/0.56 (define @t45 () (= @t35 @t34)) % 0.37/0.56 (define @t46 () (@list true)) % 0.37/0.56 (define @t47 () (not @t34)) % 0.37/0.56 (define @t48 () (not @t35)) % 0.37/0.56 (define @t49 () (not @t14)) % 0.37/0.56 (define @t50 () (not @t13)) % 0.37/0.56 (define @t51 () (and @t14 @t50 @t35)) % 0.37/0.56 (define @t52 () (not @t9)) % 0.37/0.56 (define @t53 () (not @t10)) % 0.37/0.56 (define @t54 () (and @t9 @t53 @t33)) % 0.37/0.56 (define @t55 () (@list tptp.x)) % 0.37/0.56 (define @t56 () (and @t10 @t52 @t35)) % 0.37/0.56 (define @t57 () (and @t13 @t49 @t33)) % 0.37/0.56 (assume @p1 (and @t8 (= @t6 tptp.y) (= @t5 tptp.x) @t4 @t3)) % 0.37/0.56 (step @p2 :rule refl :args (@t10)) % 0.37/0.56 (step @p3 :rule refl :args (@t11)) % 0.37/0.56 (step @p4 :rule cong :premises (@p3 @p2) :args ((= @t11 @t10))) % 0.37/0.56 (step @p5 :rule symm :premises (@p4)) % 0.37/0.56 (step @p6 :rule eq_resolve :premises (@p3 @p5)) % 0.37/0.56 (step @p7 :rule eq-refl :args (tptp.x)) % 0.37/0.56 (step @p8 :rule skolem_intro :args (@t9)) % 0.37/0.56 (step @p9 :rule refl :args (tptp.x)) % 0.37/0.56 (step @p10 :rule cong :premises (@p9 @p8) :args ((= tptp.x @t9))) % 0.37/0.56 (step @p11 :rule trans :premises (@p10 @p7)) % 0.37/0.56 (step @p12 :rule true_elim :premises (@p11)) % 0.37/0.56 (step @p13 :rule refl :args (tptp.g)) % 0.37/0.56 (step @p14 :rule ho_cong :premises (@p13 @p12)) % 0.37/0.56 (step @p15 :rule trans :premises (@p14 @p6)) % 0.37/0.56 (step @p16 :rule cong :premises (@p9 @p15) :args (@t12)) % 0.37/0.56 (step @p17 :rule cong :premises (@p16) :args ((not @t12))) % 0.37/0.56 (step @p18 :rule and_elim :premises (@p1) :args (1)) % 0.37/0.56 (step @p19 :rule symm :premises (@p18)) % 0.37/0.56 (step @p20 :rule cong :premises (@p9 @p19) :args (@t7)) % 0.37/0.56 (step @p21 :rule cong :premises (@p20) :args (@t8)) % 0.37/0.56 (step @p22 :rule trans :premises (@p21 @p17)) % 0.37/0.56 (step @p23 :rule and_elim :premises (@p1) :args (0)) % 0.37/0.56 (step @p24 :rule eq_resolve :premises (@p23 @p22)) % 0.37/0.56 (step @p25 :rule not_equiv_elim2 :premises (@p24)) % 0.37/0.56 (step @p26 :rule refl :args (@t14)) % 0.37/0.56 (step @p27 :rule refl :args (@t15)) % 0.37/0.56 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t15 @t14))) % 0.37/0.56 (step @p29 :rule symm :premises (@p28)) % 0.37/0.56 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.37/0.56 (step @p31 :rule eq-refl :args (@t6)) % 0.37/0.56 (step @p32 :rule skolem_intro :args (@t13)) % 0.37/0.56 (step @p33 :rule refl :args (@t6)) % 0.37/0.56 (step @p34 :rule cong :premises (@p33 @p32) :args (@t16)) % 0.37/0.56 (step @p35 :rule trans :premises (@p34 @p31)) % 0.37/0.56 (step @p36 :rule true_elim :premises (@p35)) % 0.37/0.56 (step @p37 :rule ho_cong :premises (@p13 @p36)) % 0.37/0.56 (step @p38 :rule trans :premises (@p37 @p30)) % 0.37/0.56 (step @p39 :rule cong :premises (@p9 @p38) :args ((= tptp.x (_ tptp.g @t6)))) % 0.37/0.56 (step @p40 :rule ho_cong :premises (@p13 @p19)) % 0.37/0.56 (step @p41 :rule cong :premises (@p9 @p40) :args ((= tptp.x @t5))) % 0.37/0.56 (step @p42 :rule eq-symm :args (@t5 tptp.x)) % 0.37/0.56 (step @p43 :rule trans :premises (@p42 @p41 @p39)) % 0.37/0.56 (step @p44 :rule and_elim :premises (@p1) :args (2)) % 0.37/0.56 (step @p45 :rule eq_resolve :premises (@p44 @p43)) % 0.37/0.56 (step @p46 :rule equiv_elim1 :premises (@p45)) % 0.37/0.56 (step @p47 :rule reordering :premises (@p46) :args ((or @t14 @t17))) % 0.37/0.56 (step @p48 :rule equiv_elim1 :premises (@p12)) % 0.37/0.56 (step @p49 :rule reordering :premises (@p48) :args ((or @t9 @t17))) % 0.37/0.56 (step @p50 :rule refl :args (@t13)) % 0.37/0.56 (step @p51 :rule cong :premises (@p15 @p50) :args (@t16)) % 0.37/0.56 (step @p52 :rule eq-symm :args (@t13 @t6)) % 0.37/0.56 (step @p53 :rule trans :premises (@p52 @p51)) % 0.37/0.56 (step @p54 :rule eq_resolve :premises (@p32 @p53)) % 0.37/0.56 (step @p55 :rule equiv_elim2 :premises (@p54)) % 0.37/0.56 (step @p56 :rule refl :args (@t18)) % 0.37/0.56 (step @p57 :rule refl :args (@t4)) % 0.37/0.56 (step @p58 :rule cong :premises (@p57 @p56) :args ((= @t4 @t18))) % 0.37/0.56 (step @p59 :rule symm :premises (@p58)) % 0.37/0.56 (step @p60 :rule eq_resolve :premises (@p57 @p59)) % 0.37/0.56 (step @p61 :rule and_elim :premises (@p1) :args (3)) % 0.37/0.56 (step @p62 :rule eq_resolve :premises (@p61 @p60)) % 0.37/0.56 (step @p63 :rule refl :args (@t24)) % 0.37/0.56 (step @p64 :rule refl :args (@t25)) % 0.37/0.56 (step @p65 :rule cong :premises (@p64 @p63) :args ((= @t25 @t24))) % 0.37/0.56 (step @p66 :rule symm :premises (@p65)) % 0.37/0.56 (step @p67 :rule eq_resolve :premises (@p64 @p66)) % 0.37/0.56 (step @p68 :rule eq-refl :args (@t22)) % 0.37/0.56 (step @p69 :rule refl :args (@t22)) % 0.37/0.56 (step @p70 :rule symm :premises (@p69)) % 0.37/0.56 (step @p71 :rule bool-eq-true :args (@t19)) % 0.37/0.56 (step @p72 :rule cong :premises (@p71) :args (@t26)) % 0.37/0.56 (step @p73 :rule bool-eq-false :args (@t20)) % 0.37/0.56 (step @p74 :rule trans :premises (@p73 @p72)) % 0.37/0.56 (step @p75 :rule evaluate :args ((not true))) % 0.37/0.56 (step @p76 :rule ite-neg-branch :premises (@p75) :args (@t20 false true)) % 0.37/0.56 (step @p77 :rule trans :premises (@p76 @p74)) % 0.37/0.56 (step @p78 :rule symm :premises (@p77)) % 0.37/0.56 (step @p79 :rule cong :premises (@p78) :args ((lambda @t21 (not @t19)))) % 0.37/0.56 (step @p80 :rule trans :premises (@p79 @p70)) % 0.37/0.56 (step @p81 :rule bool-eq-true :args (@t19)) % 0.37/0.56 (step @p82 :rule cong :premises (@p81) :args (@t26)) % 0.37/0.56 (step @p83 :rule aci_norm :args ((= (and @t26 true) @t26))) % 0.37/0.56 (step @p84 :rule ite-then-false :args (@t20 true)) % 0.37/0.56 (step @p85 :rule trans :premises (@p84 @p83)) % 0.37/0.56 (step @p86 :rule trans :premises (@p85 @p82)) % 0.37/0.56 (step @p87 :rule cong :premises (@p86) :args (@t22)) % 0.37/0.56 (step @p88 :rule trans :premises (@p87 @p80)) % 0.37/0.56 (step @p89 :rule refl :args (@t22)) % 0.37/0.56 (step @p90 :rule cong :premises (@p89 @p88) :args ((= @t22 @t22))) % 0.37/0.56 (step @p91 :rule trans :premises (@p90 @p68)) % 0.37/0.56 (step @p92 :rule skolem_intro :args (@t23)) % 0.37/0.56 (step @p93 :rule cong :premises (@p89 @p92) :args ((= @t22 @t23))) % 0.37/0.56 (step @p94 :rule trans :premises (@p93 @p91)) % 0.37/0.56 (step @p95 :rule true_elim :premises (@p94)) % 0.37/0.56 (step @p96 :rule refl :args (tptp.p)) % 0.37/0.56 (step @p97 :rule ho_cong :premises (@p96 @p95)) % 0.37/0.56 (step @p98 :rule trans :premises (@p97 @p67)) % 0.37/0.56 (step @p99 :rule cong :premises (@p98) :args ((not (_ tptp.p @t22)))) % 0.37/0.56 (step @p100 :rule alpha_equiv :args (@t2 (@list @t1) (@list @t19))) % 0.37/0.56 (step @p101 :rule trans :premises (@p100 @p79)) % 0.37/0.56 (step @p102 :rule trans :premises (@p101 @p70)) % 0.37/0.56 (step @p103 :rule ho_cong :premises (@p96 @p102)) % 0.37/0.56 (step @p104 :rule cong :premises (@p103) :args (@t3)) % 0.37/0.56 (step @p105 :rule trans :premises (@p104 @p99)) % 0.37/0.56 (step @p106 :rule and_elim :premises (@p1) :args (4)) % 0.37/0.56 (step @p107 :rule eq_resolve :premises (@p106 @p105)) % 0.37/0.56 (step @p108 :rule refl :args (@t28)) % 0.37/0.56 (step @p109 :rule bool-double-not-elim :args (@t24)) % 0.37/0.56 (step @p110 :rule refl :args (@t29)) % 0.37/0.56 (step @p111 :rule nary_cong :premises (@p110 @p109 @p108) :args ((or @t29 (not @t30) @t28))) % 0.37/0.56 (assume-push @p331 @t18) % 0.37/0.56 (assume-push @p332 @t27) % 0.37/0.56 (assume-push @p333 @t30) % 0.37/0.56 (step @p115 :rule evaluate :args ((= false true))) % 0.37/0.56 (step @p116 :rule true_intro :premises (@p62)) % 0.37/0.56 (step @p117 :rule symm :premises (@p332)) % 0.37/0.56 (step @p118 :rule cong :premises (@p117) :args (@t24)) % 0.37/0.56 (step @p119 :rule false_intro :premises (@p107)) % 0.37/0.56 (step @p120 :rule symm :premises (@p119)) % 0.37/0.56 (step @p121 :rule trans :premises (@p120 @p118 @p116)) % 0.37/0.56 (step @p122 false :rule eq_resolve :premises (@p121 @p115)) % 0.37/0.56 (step-pop @p334 :rule scope :premises (@p122)) % 0.37/0.56 (step-pop @p335 :rule scope :premises (@p334)) % 0.37/0.56 (step-pop @p336 :rule scope :premises (@p335)) % 0.37/0.56 (step @p123 :rule process_scope :premises (@p336) :args (false)) % 0.37/0.56 (assume-push @p337 @t18) % 0.37/0.56 (assume-push @p338 @t30) % 0.37/0.56 (assume-push @p339 @t27) % 0.37/0.56 (step @p130 :rule and_intro :premises (@p62 @p339 @p107)) % 0.37/0.56 (step-pop @p340 :rule scope :premises (@p130)) % 0.37/0.56 (step-pop @p341 :rule scope :premises (@p340)) % 0.37/0.56 (step-pop @p342 :rule scope :premises (@p341)) % 0.37/0.56 (step @p131 :rule process_scope :premises (@p342) :args (@t31)) % 0.37/0.56 (step @p135 :rule implies_elim :premises (@p131)) % 0.37/0.56 (step @p136 :rule resolution :premises (@p135 @p123) :args (true @t31)) % 0.37/0.56 (step @p137 :rule not_and :premises (@p136)) % 0.37/0.56 (step @p138 :rule eq_resolve :premises (@p137 @p111)) % 0.37/0.56 (step @p139 :rule reordering :premises (@p138) :args ((or @t24 @t29 @t28))) % 0.37/0.56 (step @p140 :rule chain_m_resolution :premises (@p139 @p107 @p62) :args (@t28 (@list true false) (@list @t24 @t18))) % 0.37/0.56 (step @p141 :rule eq-symm :args (@t34 @t35)) % 0.37/0.56 (step @p142 :rule eq-refl :args (@t36)) % 0.37/0.56 (step @p143 :rule bool-eq-true :args (@t32)) % 0.37/0.56 (step @p144 :rule cong :premises (@p143) :args (@t38)) % 0.37/0.56 (step @p145 :rule aci_norm :args ((= (and @t38 true) @t38))) % 0.37/0.56 (step @p146 :rule ite-then-false :args (@t37 true)) % 0.37/0.56 (step @p147 :rule trans :premises (@p146 @p145)) % 0.37/0.56 (step @p148 :rule trans :premises (@p147 @p144)) % 0.37/0.56 (step @p149 :rule beta-reduce :args ((= @t39 (ite @t37 false true)))) % 0.37/0.56 (step @p150 :rule trans :premises (@p149 @p148)) % 0.37/0.56 (step @p151 :rule refl :args (@t36)) % 0.37/0.56 (step @p152 :rule cong :premises (@p151 @p150) :args ((= @t36 @t39))) % 0.37/0.56 (step @p153 :rule trans :premises (@p152 @p142)) % 0.37/0.56 (step @p154 :rule eq-symm :args (@t39 @t36)) % 0.37/0.56 (step @p155 :rule trans :premises (@p154 @p153)) % 0.37/0.56 (step @p156 :rule skolem_intro :args (@t33)) % 0.37/0.56 (step @p157 :rule cong :premises (@p156) :args (@t35)) % 0.37/0.56 (step @p158 :rule ho_cong :premises (@p92 @p156)) % 0.37/0.56 (step @p159 :rule cong :premises (@p158 @p157) :args ((= (_ @t23 @t33) @t35))) % 0.37/0.56 (step @p160 :rule trans :premises (@p159 @p155)) % 0.37/0.56 (step @p161 :rule true_elim :premises (@p160)) % 0.37/0.56 (step @p162 :rule eq-refl :args (@t32)) % 0.37/0.56 (step @p163 :rule refl :args (@t32)) % 0.37/0.56 (step @p164 :rule cong :premises (@p163 @p156) :args ((= @t32 @t33))) % 0.37/0.56 (step @p165 :rule trans :premises (@p164 @p162)) % 0.37/0.56 (step @p166 :rule true_elim :premises (@p165)) % 0.37/0.56 (step @p167 :rule cong :premises (@p166) :args (@t40)) % 0.37/0.56 (step @p168 :rule trans :premises (@p167 @p161)) % 0.37/0.56 (step @p169 :rule cong :premises (@p166) :args (@t41)) % 0.37/0.56 (step @p170 :rule cong :premises (@p169 @p168) :args (@t42)) % 0.37/0.56 (step @p171 :rule trans :premises (@p170 @p141)) % 0.37/0.56 (step @p172 :rule cong :premises (@p171) :args (@t43)) % 0.37/0.56 (step @p173 :rule refl :args (@t27)) % 0.37/0.56 (step @p174 :rule nary_cong :premises (@p173 @p172) :args (@t44)) % 0.37/0.56 ; WARNING: add trust step for TRUST % 0.37/0.56 ; trust TRUST THEORY_LEMMA % 0.37/0.56 (step @p175 :rule trust :premises () :args (@t44)) % 0.37/0.56 (step @p176 :rule eq_resolve :premises (@p175 @p174)) % 0.37/0.56 (step @p177 :rule chain_m_resolution :premises (@p176 @p140) :args ((not @t45) @t46 (@list @t27))) % 0.37/0.56 (step @p178 :rule refl :args (@t47)) % 0.37/0.56 (step @p179 :rule bool-double-not-elim :args (@t33)) % 0.37/0.56 (step @p180 :rule refl :args (@t45)) % 0.37/0.56 (step @p181 :rule nary_cong :premises (@p180 @p179 @p178) :args ((or @t45 @t48 @t47))) % 0.37/0.56 (step @p182 :rule cnf_equiv_neg2 :args (@t45)) % 0.37/0.56 (step @p183 :rule eq_resolve :premises (@p182 @p181)) % 0.37/0.56 (step @p184 :rule reordering :premises (@p183) :args ((or @t33 @t45 @t47))) % 0.37/0.56 (step @p185 :rule refl :args (@t34)) % 0.37/0.56 (step @p186 :rule bool-double-not-elim :args (@t13)) % 0.37/0.56 (step @p187 :rule refl :args (@t49)) % 0.37/0.56 (step @p188 :rule nary_cong :premises (@p187 @p186 @p179 @p185) :args ((or @t49 (not @t50) @t48 @t34))) % 0.37/0.56 (assume-push @p343 @t14) % 0.37/0.56 (assume-push @p344 @t50) % 0.37/0.56 (assume-push @p345 @t35) % 0.37/0.56 (assume-push @p346 @t14) % 0.37/0.56 (assume-push @p347 @t50) % 0.37/0.56 (assume-push @p348 @t35) % 0.37/0.56 (step @p195 :rule true_intro :premises (@p343)) % 0.37/0.56 (step @p196 :rule false_intro :premises (@p344)) % 0.37/0.56 (step @p197 :rule symm :premises (@p196)) % 0.37/0.56 (step @p198 :rule false_intro :premises (@p345)) % 0.37/0.56 (step @p199 :rule trans :premises (@p198 @p197)) % 0.37/0.56 (step @p200 :rule cong :premises (@p199) :args (@t34)) % 0.37/0.56 (step @p201 :rule trans :premises (@p200 @p195)) % 0.37/0.56 (step @p202 :rule true_elim :premises (@p201)) % 0.37/0.56 (step-pop @p349 :rule scope :premises (@p202)) % 0.37/0.56 (step-pop @p350 :rule scope :premises (@p349)) % 0.37/0.56 (step-pop @p351 :rule scope :premises (@p350)) % 0.37/0.56 (step @p203 :rule process_scope :premises (@p351) :args (@t34)) % 0.37/0.56 (step @p207 :rule and_intro :premises (@p343 @p344 @p345)) % 0.37/0.56 (step @p208 :rule modus_ponens :premises (@p207 @p203)) % 0.37/0.56 (step-pop @p352 :rule scope :premises (@p208)) % 0.37/0.56 (step-pop @p353 :rule scope :premises (@p352)) % 0.37/0.56 (step-pop @p354 :rule scope :premises (@p353)) % 0.37/0.56 (step @p209 :rule process_scope :premises (@p354) :args (@t34)) % 0.37/0.56 (step @p213 :rule implies_elim :premises (@p209)) % 0.37/0.56 (step @p214 :rule cnf_and_neg :args (@t51)) % 0.37/0.56 (step @p215 :rule resolution :premises (@p214 @p213) :args (true @t51)) % 0.37/0.56 (step @p216 :rule eq_resolve :premises (@p215 @p188)) % 0.37/0.56 (step @p217 :rule reordering :premises (@p216) :args ((or @t13 @t49 @t33 @t34))) % 0.37/0.56 (step @p218 :rule chain_m_resolution :premises (@p217 @p184 @p177) :args ((or @t13 @t49 @t33) (@list true true) (@list @t34 @t45))) % 0.37/0.56 (step @p219 :rule cnf_equiv_neg1 :args (@t45)) % 0.37/0.56 (step @p220 :rule reordering :premises (@p219) :args ((or @t35 @t34 @t45))) % 0.37/0.56 (step @p221 :rule refl :args (@t35)) % 0.37/0.56 (step @p222 :rule bool-double-not-elim :args (@t10)) % 0.37/0.56 (step @p223 :rule refl :args (@t52)) % 0.37/0.56 (step @p224 :rule nary_cong :premises (@p223 @p222 @p221 @p178) :args ((or @t52 (not @t53) @t35 @t47))) % 0.37/0.56 (assume-push @p355 @t9) % 0.37/0.56 (assume-push @p356 @t53) % 0.37/0.56 (assume-push @p357 @t33) % 0.37/0.56 (assume-push @p358 @t53) % 0.37/0.56 (assume-push @p359 @t9) % 0.37/0.56 (assume-push @p360 @t33) % 0.37/0.56 (step @p231 :rule false_intro :premises (@p356)) % 0.37/0.56 (step @p232 :rule true_intro :premises (@p355)) % 0.37/0.56 (step @p233 :rule symm :premises (@p232)) % 0.37/0.56 (step @p234 :rule true_intro :premises (@p357)) % 0.37/0.56 (step @p235 :rule trans :premises (@p234 @p233)) % 0.37/0.56 (step @p236 :rule cong :premises (@p235) :args (@t34)) % 0.37/0.56 (step @p237 :rule trans :premises (@p236 @p231)) % 0.37/0.56 (step @p238 :rule false_elim :premises (@p237)) % 0.37/0.56 (step-pop @p361 :rule scope :premises (@p238)) % 0.37/0.56 (step-pop @p362 :rule scope :premises (@p361)) % 0.37/0.56 (step-pop @p363 :rule scope :premises (@p362)) % 0.37/0.56 (step @p239 :rule process_scope :premises (@p363) :args (@t47)) % 0.37/0.56 (step @p243 :rule and_intro :premises (@p356 @p355 @p357)) % 0.37/0.56 (step @p244 :rule modus_ponens :premises (@p243 @p239)) % 0.37/0.56 (step-pop @p364 :rule scope :premises (@p244)) % 0.37/0.56 (step-pop @p365 :rule scope :premises (@p364)) % 0.37/0.56 (step-pop @p366 :rule scope :premises (@p365)) % 0.37/0.56 (step @p245 :rule process_scope :premises (@p366) :args (@t47)) % 0.37/0.56 (step @p249 :rule implies_elim :premises (@p245)) % 0.37/0.56 (step @p250 :rule cnf_and_neg :args (@t54)) % 0.37/0.56 (step @p251 :rule resolution :premises (@p250 @p249) :args (true @t54)) % 0.37/0.56 (step @p252 :rule eq_resolve :premises (@p251 @p224)) % 0.37/0.56 (step @p253 :rule reordering :premises (@p252) :args ((or @t10 @t52 @t35 @t47))) % 0.37/0.56 (step @p254 :rule chain_m_resolution :premises (@p253 @p220 @p177 @p218 @p55 @p49 @p47 @p25) :args (@t17 (@list false true false true false false true) (@list @t34 @t45 @t33 @t13 @t9 @t14 @t10))) % 0.37/0.56 (step @p255 :rule equiv_elim2 :premises (@p45)) % 0.37/0.56 (step @p256 :rule chain_m_resolution :premises (@p255 @p254) :args (@t49 @t46 @t55)) % 0.37/0.56 (step @p257 :rule not_equiv_elim1 :premises (@p24)) % 0.37/0.56 (step @p258 :rule chain_m_resolution :premises (@p257 @p254) :args (@t10 @t46 @t55)) % 0.37/0.56 (step @p259 :rule equiv_elim1 :premises (@p54)) % 0.37/0.56 (step @p260 :rule reordering :premises (@p259) :args ((or @t13 @t53))) % 0.37/0.56 (step @p261 :rule chain_m_resolution :premises (@p260 @p258) :args (@t13 (@list false) (@list @t10))) % 0.37/0.56 (step @p262 :rule equiv_elim2 :premises (@p12)) % 0.37/0.56 (step @p263 :rule chain_m_resolution :premises (@p262 @p254) :args (@t52 @t46 @t55)) % 0.37/0.56 (step @p264 :rule bool-double-not-elim :args (@t9)) % 0.37/0.56 (step @p265 :rule refl :args (@t53)) % 0.37/0.56 (step @p266 :rule nary_cong :premises (@p265 @p264 @p179 @p185) :args ((or @t53 (not @t52) @t48 @t34))) % 0.37/0.56 (assume-push @p367 @t10) % 0.37/0.56 (assume-push @p368 @t52) % 0.37/0.56 (assume-push @p369 @t35) % 0.37/0.56 (assume-push @p370 @t10) % 0.37/0.56 (assume-push @p371 @t52) % 0.37/0.56 (assume-push @p372 @t35) % 0.37/0.56 (step @p273 :rule true_intro :premises (@p367)) % 0.37/0.56 (step @p274 :rule false_intro :premises (@p368)) % 0.37/0.56 (step @p275 :rule symm :premises (@p274)) % 0.37/0.56 (step @p276 :rule false_intro :premises (@p369)) % 0.37/0.56 (step @p277 :rule trans :premises (@p276 @p275)) % 0.37/0.56 (step @p278 :rule cong :premises (@p277) :args (@t34)) % 0.37/0.56 (step @p279 :rule trans :premises (@p278 @p273)) % 0.37/0.56 (step @p280 :rule true_elim :premises (@p279)) % 0.37/0.56 (step-pop @p373 :rule scope :premises (@p280)) % 0.37/0.56 (step-pop @p374 :rule scope :premises (@p373)) % 0.37/0.56 (step-pop @p375 :rule scope :premises (@p374)) % 0.37/0.56 (step @p281 :rule process_scope :premises (@p375) :args (@t34)) % 0.37/0.56 (step @p285 :rule and_intro :premises (@p367 @p368 @p369)) % 0.37/0.56 (step @p286 :rule modus_ponens :premises (@p285 @p281)) % 0.37/0.56 (step-pop @p376 :rule scope :premises (@p286)) % 0.37/0.56 (step-pop @p377 :rule scope :premises (@p376)) % 0.37/0.56 (step-pop @p378 :rule scope :premises (@p377)) % 0.37/0.56 (step @p287 :rule process_scope :premises (@p378) :args (@t34)) % 0.37/0.56 (step @p291 :rule implies_elim :premises (@p287)) % 0.37/0.56 (step @p292 :rule cnf_and_neg :args (@t56)) % 0.37/0.56 (step @p293 :rule resolution :premises (@p292 @p291) :args (true @t56)) % 0.37/0.56 (step @p294 :rule eq_resolve :premises (@p293 @p266)) % 0.37/0.56 (step @p295 :rule reordering :premises (@p294) :args ((or @t9 @t53 @t33 @t34))) % 0.37/0.56 (step @p296 :rule chain_m_resolution :premises (@p295 @p263 @p258 @p184 @p177) :args (@t33 (@list true false true true) (@list @t9 @t10 @t34 @t45))) % 0.37/0.56 (step @p297 :rule chain_m_resolution :premises (@p220 @p296 @p177) :args (@t34 (@list false true) (@list @t33 @t45))) % 0.37/0.56 (step @p298 :rule bool-double-not-elim :args (@t14)) % 0.37/0.56 (step @p299 :rule refl :args (@t50)) % 0.37/0.56 (step @p300 :rule nary_cong :premises (@p299 @p298 @p221 @p178) :args ((or @t50 (not @t49) @t35 @t47))) % 0.37/0.56 (assume-push @p379 @t13) % 0.37/0.56 (assume-push @p380 @t49) % 0.37/0.56 (assume-push @p381 @t33) % 0.37/0.56 (assume-push @p382 @t49) % 0.37/0.56 (assume-push @p383 @t13) % 0.37/0.56 (assume-push @p384 @t33) % 0.37/0.56 (step @p307 :rule false_intro :premises (@p380)) % 0.37/0.56 (step @p308 :rule true_intro :premises (@p379)) % 0.37/0.56 (step @p309 :rule symm :premises (@p308)) % 0.37/0.56 (step @p310 :rule true_intro :premises (@p381)) % 0.37/0.56 (step @p311 :rule trans :premises (@p310 @p309)) % 0.37/0.56 (step @p312 :rule cong :premises (@p311) :args (@t34)) % 0.37/0.56 (step @p313 :rule trans :premises (@p312 @p307)) % 0.37/0.56 (step @p314 :rule false_elim :premises (@p313)) % 0.37/0.56 (step-pop @p385 :rule scope :premises (@p314)) % 0.37/0.56 (step-pop @p386 :rule scope :premises (@p385)) % 0.37/0.56 (step-pop @p387 :rule scope :premises (@p386)) % 0.37/0.56 (step @p315 :rule process_scope :premises (@p387) :args (@t47)) % 0.37/0.56 (step @p319 :rule and_intro :premises (@p380 @p379 @p381)) % 0.37/0.56 (step @p320 :rule modus_ponens :premises (@p319 @p315)) % 0.37/0.56 (step-pop @p388 :rule scope :premises (@p320)) % 0.37/0.56 (step-pop @p389 :rule scope :premises (@p388)) % 0.37/0.56 (step-pop @p390 :rule scope :premises (@p389)) % 0.37/0.56 (step @p321 :rule process_scope :premises (@p390) :args (@t47)) % 0.37/0.56 (step @p325 :rule implies_elim :premises (@p321)) % 0.37/0.56 (step @p326 :rule cnf_and_neg :args (@t57)) % 0.37/0.56 (step @p327 :rule resolution :premises (@p326 @p325) :args (true @t57)) % 0.37/0.56 (step @p328 :rule eq_resolve :premises (@p327 @p300)) % 0.37/0.56 (step @p329 :rule reordering :premises (@p328) :args ((or @t14 @t50 @t35 @t47))) % 0.37/0.56 (step @p330 false :rule chain_m_resolution :premises (@p329 @p297 @p296 @p261 @p256) :args (false (@list false false false true) (@list @t34 @t33 @t13 @t14))) % 0.37/0.56 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------