%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO018^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.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 09:11:47 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 : SYO018^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 23:51:48 EDT 2026 % 0.17/0.34 % 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-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.p (-> (-> $$unsorted $$unsorted) Bool)) % 0.37/0.57 (declare-const tptp.a (-> (-> $$unsorted $$unsorted) Bool)) % 0.37/0.57 (declare-const tptp.f (-> Bool $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.b Bool) % 0.37/0.57 (define @t1 () (_ tptp.f tptp.b)) % 0.37/0.57 (define @t2 () (and tptp.b (_ tptp.a @t1))) % 0.37/0.57 (define @t3 () (_ tptp.p (_ tptp.f @t2))) % 0.37/0.57 (define @t4 () (@var "X" $$unsorted)) % 0.37/0.57 (define @t5 () (@list @t4)) % 0.37/0.57 (define @t6 () (lambda @t5 (_ (_ tptp.f (and (_ tptp.a (lambda @t5 (_ @t1 @t4))) tptp.b)) @t4))) % 0.37/0.57 (define @t7 () (=> (_ tptp.p @t6) @t3)) % 0.37/0.57 (define @t8 () (not @t7)) % 0.37/0.57 (define @t9 () (@purify tptp.b)) % 0.37/0.57 (define @t10 () (_ tptp.f @t9)) % 0.37/0.57 (define @t11 () (tptp.a @t10)) % 0.37/0.57 (define @t12 () (and tptp.b @t11)) % 0.37/0.57 (define @t13 () (@purify @t2)) % 0.37/0.57 (define @t14 () (_ tptp.a @t10)) % 0.37/0.57 (define @t15 () (= @t2 @t13)) % 0.37/0.57 (define @t16 () (not @t13)) % 0.37/0.57 (define @t17 () (not @t12)) % 0.37/0.57 (define @t18 () (and @t11 tptp.b)) % 0.37/0.57 (define @t19 () (@var "BOUND_VARIABLE_7430" $$unsorted)) % 0.37/0.57 (define @t20 () (tptp.f tptp.b @t19)) % 0.37/0.57 (define @t21 () (@list @t19)) % 0.37/0.57 (define @t22 () (lambda @t21 @t20)) % 0.37/0.57 (define @t23 () (tptp.a @t22)) % 0.37/0.57 (define @t24 () (and @t23 tptp.b)) % 0.37/0.57 (define @t25 () (@purify @t24)) % 0.37/0.57 (define @t26 () (= @t24 @t25)) % 0.37/0.57 (define @t27 () (not @t18)) % 0.37/0.57 (define @t28 () (_ tptp.f @t13)) % 0.37/0.57 (define @t29 () (tptp.p @t28)) % 0.37/0.57 (define @t30 () (_ tptp.p @t28)) % 0.37/0.57 (define @t31 () (_ @t1 @t19)) % 0.37/0.57 (define @t32 () (lambda @t21 @t31)) % 0.37/0.57 (define @t33 () (_ tptp.a @t32)) % 0.37/0.57 (define @t34 () (and @t33 tptp.b)) % 0.37/0.57 (define @t35 () (_ (_ tptp.f @t34) @t4)) % 0.37/0.57 (define @t36 () (lambda @t5 @t35)) % 0.37/0.57 (define @t37 () (@purify @t36)) % 0.37/0.57 (define @t38 () (tptp.p @t37)) % 0.37/0.57 (define @t39 () (_ tptp.p @t37)) % 0.37/0.57 (define @t40 () (=> (_ tptp.p @t36) @t3)) % 0.37/0.57 (define @t41 () (= @t28 @t37)) % 0.37/0.57 (define @t42 () (not @t41)) % 0.37/0.57 (define @t43 () (not @t38)) % 0.37/0.57 (define @t44 () (not @t29)) % 0.37/0.57 (define @t45 () (and @t44 @t41 @t38)) % 0.37/0.57 (define @t46 () (@const 0 $$unsorted)) % 0.37/0.57 (define @t47 () (_ @t37 @t46)) % 0.37/0.57 (define @t48 () (tptp.f @t13 @t46)) % 0.37/0.57 (define @t49 () (= @t48 @t47)) % 0.37/0.57 (define @t50 () (not @t49)) % 0.37/0.57 (define @t51 () (@list true)) % 0.37/0.57 (define @t52 () (tptp.f @t24 @t4)) % 0.37/0.57 (define @t53 () (_ @t37 @t4)) % 0.37/0.57 (define @t54 () (= @t35 @t53)) % 0.37/0.57 (define @t55 () (_ @t36 @t4)) % 0.37/0.57 (define @t56 () (= @t53 @t55)) % 0.37/0.57 (define @t57 () (forall @t5 @t56)) % 0.37/0.57 (define @t58 () (tptp.f @t24 @t46)) % 0.37/0.57 (define @t59 () (= @t47 @t58)) % 0.37/0.57 (define @t60 () (forall @t5 (= @t53 @t52))) % 0.37/0.57 (define @t61 () (= @t47 (tptp.f @t25 @t46))) % 0.37/0.57 (define @t62 () (@list false)) % 0.37/0.57 (define @t63 () (and @t13 @t25 @t61)) % 0.37/0.57 (define @t64 () (not @t61)) % 0.37/0.57 (define @t65 () (not @t25)) % 0.37/0.57 (define @t66 () (and @t16 @t65 @t61)) % 0.37/0.57 (define @t67 () (@list @t18)) % 0.37/0.57 (assume @p1 @t8) % 0.37/0.57 (assume @p2 true) % 0.37/0.57 (step @p3 :rule eq-symm :args (@t12 @t13)) % 0.37/0.57 (step @p4 :rule refl :args (@t13)) % 0.37/0.57 (step @p5 :rule refl :args (@t11)) % 0.37/0.57 (step @p6 :rule refl :args (@t14)) % 0.37/0.57 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t14 @t11))) % 0.37/0.57 (step @p8 :rule symm :premises (@p7)) % 0.37/0.57 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.37/0.57 (step @p10 :rule eq-refl :args (tptp.b)) % 0.37/0.57 (step @p11 :rule skolem_intro :args (@t9)) % 0.37/0.57 (step @p12 :rule refl :args (tptp.b)) % 0.37/0.57 (step @p13 :rule cong :premises (@p12 @p11) :args ((= tptp.b @t9))) % 0.37/0.57 (step @p14 :rule trans :premises (@p13 @p10)) % 0.37/0.57 (step @p15 :rule true_elim :premises (@p14)) % 0.37/0.57 (step @p16 :rule refl :args (tptp.f)) % 0.37/0.57 (step @p17 :rule ho_cong :premises (@p16 @p15)) % 0.37/0.57 (step @p18 :rule refl :args (tptp.a)) % 0.37/0.57 (step @p19 :rule ho_cong :premises (@p18 @p17)) % 0.37/0.57 (step @p20 :rule trans :premises (@p19 @p9)) % 0.37/0.57 (step @p21 :rule nary_cong :premises (@p12 @p20) :args (@t2)) % 0.37/0.57 (step @p22 :rule cong :premises (@p21 @p4) :args (@t15)) % 0.37/0.57 (step @p23 :rule trans :premises (@p22 @p3)) % 0.37/0.57 (step @p24 :rule eq-symm :args (@t13 @t2)) % 0.37/0.57 (step @p25 :rule trans :premises (@p24 @p23)) % 0.37/0.57 (step @p26 :rule skolem_intro :args (@t13)) % 0.37/0.57 (step @p27 :rule eq_resolve :premises (@p26 @p25)) % 0.37/0.57 (step @p28 :rule equiv_elim1 :premises (@p27)) % 0.37/0.57 (step @p29 :rule reordering :premises (@p28) :args ((or @t12 @t16))) % 0.37/0.57 (step @p30 :rule cnf_and_pos :args (@t12 0)) % 0.37/0.57 (step @p31 :rule reordering :premises (@p30) :args ((or tptp.b @t17))) % 0.37/0.57 (step @p32 :rule cnf_and_pos :args (@t12 1)) % 0.37/0.57 (step @p33 :rule reordering :premises (@p32) :args ((or @t11 @t17))) % 0.37/0.57 (step @p34 :rule cnf_and_neg :args (@t18)) % 0.37/0.57 (step @p35 :rule reordering :premises (@p34) :args ((or (not tptp.b) (not @t11) @t18))) % 0.37/0.57 (step @p36 :rule refl :args (@t25)) % 0.37/0.57 (step @p37 :rule lambda-elim :args ((= @t22 @t1))) % 0.37/0.57 (step @p38 :rule trans :premises (@p37 @p17)) % 0.37/0.57 (step @p39 :rule cong :premises (@p38) :args (@t23)) % 0.37/0.57 (step @p40 :rule nary_cong :premises (@p39 @p12) :args (@t24)) % 0.37/0.57 (step @p41 :rule cong :premises (@p40 @p36) :args (@t26)) % 0.37/0.57 (step @p42 :rule eq-symm :args (@t25 @t24)) % 0.37/0.57 (step @p43 :rule trans :premises (@p42 @p41)) % 0.37/0.57 (step @p44 :rule skolem_intro :args (@t25)) % 0.37/0.57 (step @p45 :rule eq_resolve :premises (@p44 @p43)) % 0.37/0.57 (step @p46 :rule equiv_elim1 :premises (@p45)) % 0.37/0.57 (step @p47 :rule reordering :premises (@p46) :args ((or @t25 @t27))) % 0.37/0.57 (step @p48 :rule refl :args (@t29)) % 0.37/0.57 (step @p49 :rule refl :args (@t30)) % 0.37/0.57 (step @p50 :rule cong :premises (@p49 @p48) :args ((= @t30 @t29))) % 0.37/0.57 (step @p51 :rule symm :premises (@p50)) % 0.37/0.57 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.37/0.57 (step @p53 :rule eq-refl :args (@t2)) % 0.37/0.57 (step @p54 :rule refl :args (@t2)) % 0.37/0.57 (step @p55 :rule cong :premises (@p54 @p26) :args (@t15)) % 0.37/0.57 (step @p56 :rule trans :premises (@p55 @p53)) % 0.37/0.57 (step @p57 :rule true_elim :premises (@p56)) % 0.37/0.57 (step @p58 :rule ho_cong :premises (@p16 @p57)) % 0.37/0.57 (step @p59 :rule refl :args (tptp.p)) % 0.37/0.57 (step @p60 :rule ho_cong :premises (@p59 @p58)) % 0.37/0.57 (step @p61 :rule trans :premises (@p60 @p52)) % 0.37/0.57 (step @p62 :rule refl :args (@t38)) % 0.37/0.57 (step @p63 :rule refl :args (@t39)) % 0.37/0.57 (step @p64 :rule cong :premises (@p63 @p62) :args ((= @t39 @t38))) % 0.37/0.57 (step @p65 :rule symm :premises (@p64)) % 0.37/0.57 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 0.37/0.57 (step @p67 :rule eq-refl :args (@t36)) % 0.37/0.57 (step @p68 :rule skolem_intro :args (@t37)) % 0.37/0.57 (step @p69 :rule refl :args (@t36)) % 0.37/0.57 (step @p70 :rule cong :premises (@p69 @p68) :args ((= @t36 @t37))) % 0.37/0.57 (step @p71 :rule trans :premises (@p70 @p67)) % 0.37/0.57 (step @p72 :rule true_elim :premises (@p71)) % 0.37/0.57 (step @p73 :rule ho_cong :premises (@p59 @p72)) % 0.37/0.57 (step @p74 :rule trans :premises (@p73 @p66)) % 0.37/0.57 (step @p75 :rule cong :premises (@p74 @p61) :args (@t40)) % 0.37/0.57 (step @p76 :rule cong :premises (@p75) :args ((not @t40))) % 0.37/0.57 (step @p77 :rule refl :args (@t3)) % 0.37/0.57 ; WARNING: add trust step for TRUST_THEORY_REWRITE % 0.37/0.57 ; trust TRUST_THEORY_REWRITE % 0.37/0.57 (step @p78 :rule trust :premises () :args ((= @t6 @t36))) % 0.37/0.57 (step @p79 :rule ho_cong :premises (@p59 @p78)) % 0.37/0.57 (step @p80 :rule cong :premises (@p79 @p77) :args (@t7)) % 0.37/0.57 (step @p81 :rule cong :premises (@p80) :args (@t8)) % 0.37/0.57 (step @p82 :rule trans :premises (@p81 @p76)) % 0.37/0.57 (step @p83 :rule eq_resolve :premises (@p1 @p82)) % 0.37/0.57 (step @p84 :rule not_implies_elim1 :premises (@p83)) % 0.37/0.57 (step @p85 :rule not_implies_elim2 :premises (@p83)) % 0.37/0.57 (step @p86 :rule refl :args (@t42)) % 0.37/0.57 (step @p87 :rule bool-double-not-elim :args (@t29)) % 0.37/0.57 (step @p88 :rule refl :args (@t43)) % 0.37/0.57 (step @p89 :rule nary_cong :premises (@p88 @p87 @p86) :args ((or @t43 (not @t44) @t42))) % 0.37/0.57 (assume-push @p272 @t44) % 0.37/0.57 (assume-push @p273 @t41) % 0.37/0.57 (assume-push @p274 @t38) % 0.37/0.57 (step @p93 :rule evaluate :args ((= true false))) % 0.37/0.57 (step @p94 :rule false_intro :premises (@p85)) % 0.37/0.57 (step @p95 :rule symm :premises (@p273)) % 0.37/0.57 (step @p96 :rule cong :premises (@p95) :args (@t38)) % 0.37/0.57 (step @p97 :rule true_intro :premises (@p84)) % 0.37/0.57 (step @p98 :rule symm :premises (@p97)) % 0.37/0.57 (step @p99 :rule trans :premises (@p98 @p96 @p94)) % 0.37/0.57 (step @p100 false :rule eq_resolve :premises (@p99 @p93)) % 0.37/0.57 (step-pop @p275 :rule scope :premises (@p100)) % 0.37/0.57 (step-pop @p276 :rule scope :premises (@p275)) % 0.37/0.57 (step-pop @p277 :rule scope :premises (@p276)) % 0.37/0.57 (step @p101 :rule process_scope :premises (@p277) :args (false)) % 0.37/0.57 (assume-push @p278 @t38) % 0.37/0.57 (assume-push @p279 @t44) % 0.37/0.57 (assume-push @p280 @t41) % 0.37/0.57 (step @p108 :rule and_intro :premises (@p85 @p280 @p84)) % 0.37/0.57 (step-pop @p281 :rule scope :premises (@p108)) % 0.37/0.57 (step-pop @p282 :rule scope :premises (@p281)) % 0.37/0.57 (step-pop @p283 :rule scope :premises (@p282)) % 0.37/0.57 (step @p109 :rule process_scope :premises (@p283) :args (@t45)) % 0.37/0.57 (step @p113 :rule implies_elim :premises (@p109)) % 0.37/0.57 (step @p114 :rule resolution :premises (@p113 @p101) :args (true @t45)) % 0.37/0.57 (step @p115 :rule not_and :premises (@p114)) % 0.37/0.57 (step @p116 :rule eq_resolve :premises (@p115 @p89)) % 0.37/0.57 (step @p117 :rule reordering :premises (@p116) :args ((or @t29 @t43 @t42))) % 0.37/0.57 (step @p118 :rule chain_m_resolution :premises (@p117 @p85 @p84) :args (@t42 (@list true false) (@list @t29 @t38))) % 0.37/0.57 ; WARNING: add trust step for TRUST % 0.37/0.57 ; trust TRUST THEORY_LEMMA % 0.37/0.57 (step @p119 :rule trust :premises () :args ((or @t41 @t50))) % 0.37/0.57 (step @p120 :rule chain_m_resolution :premises (@p119 @p118) :args (@t50 @t51 (@list @t41))) % 0.37/0.57 (step @p121 :rule eq-symm :args (@t52 @t53)) % 0.37/0.57 (step @p122 :rule cong :premises (@p121) :args ((forall @t5 (= @t52 @t53)))) % 0.37/0.57 (step @p123 :rule refl :args (@t53)) % 0.37/0.57 (step @p124 :rule refl :args ((tptp.f @t34 @t4))) % 0.37/0.57 (step @p125 :rule refl :args (@t4)) % 0.37/0.57 (step @p126 :rule refl :args (tptp.b)) % 0.37/0.57 (step @p127 :rule refl :args ((tptp.a @t32))) % 0.37/0.57 (step @p128 :rule refl :args (@t20)) % 0.37/0.57 (step @p129 :rule cong :premises (@p128) :args (@t22)) % 0.37/0.57 (step @p130 :rule cong :premises (@p129) :args (@t23)) % 0.37/0.57 (step @p131 :rule trans :premises (@p130 @p127)) % 0.37/0.57 (step @p132 :rule nary_cong :premises (@p131 @p126) :args (@t24)) % 0.37/0.57 (step @p133 :rule cong :premises (@p132 @p125) :args (@t52)) % 0.37/0.57 (step @p134 :rule trans :premises (@p133 @p124)) % 0.37/0.57 (step @p135 :rule refl :args (tptp.f)) % 0.37/0.57 (step @p136 :rule ho_cong :premises (@p135 @p132)) % 0.37/0.57 (step @p137 :rule ho_cong :premises (@p136 @p125)) % 0.37/0.57 (step @p138 :rule cong :premises (@p137 @p134) :args ((= (_ (_ tptp.f @t24) @t4) @t52))) % 0.37/0.57 (step @p139 :rule symm :premises (@p138)) % 0.37/0.57 (step @p140 :rule refl :args (@t35)) % 0.37/0.57 (step @p141 :rule eq_resolve :premises (@p140 @p139)) % 0.37/0.57 (step @p142 :rule refl :args (tptp.a)) % 0.37/0.57 (step @p143 :rule ho_cong :premises (@p142 @p129)) % 0.37/0.57 (step @p144 :rule cong :premises (@p143 @p131) :args ((= (_ tptp.a @t22) @t23))) % 0.37/0.57 (step @p145 :rule symm :premises (@p144)) % 0.37/0.57 (step @p146 :rule refl :args (@t33)) % 0.37/0.57 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 0.37/0.57 (step @p148 :rule refl :args (@t31)) % 0.37/0.57 (step @p149 :rule cong :premises (@p148 @p128) :args ((= @t31 @t20))) % 0.37/0.57 (step @p150 :rule symm :premises (@p149)) % 0.37/0.57 (step @p151 :rule eq_resolve :premises (@p148 @p150)) % 0.37/0.57 (step @p152 :rule cong :premises (@p151) :args (@t32)) % 0.37/0.57 (step @p153 :rule ho_cong :premises (@p142 @p152)) % 0.37/0.57 (step @p154 :rule trans :premises (@p153 @p147)) % 0.37/0.57 (step @p155 :rule nary_cong :premises (@p154 @p126) :args (@t34)) % 0.37/0.57 (step @p156 :rule ho_cong :premises (@p135 @p155)) % 0.37/0.57 (step @p157 :rule ho_cong :premises (@p156 @p125)) % 0.37/0.57 (step @p158 :rule trans :premises (@p157 @p141)) % 0.37/0.57 (step @p159 :rule cong :premises (@p158 @p123) :args (@t54)) % 0.37/0.57 (step @p160 :rule cong :premises (@p159) :args ((forall @t5 @t54))) % 0.37/0.57 (step @p161 :rule trans :premises (@p160 @p122)) % 0.37/0.57 (step @p162 :rule eq-symm :args (@t53 @t35)) % 0.37/0.57 (step @p163 :rule beta-reduce :args ((= @t55 @t35))) % 0.37/0.57 (step @p164 :rule refl :args (@t53)) % 0.37/0.57 (step @p165 :rule cong :premises (@p164 @p163) :args (@t56)) % 0.37/0.57 (step @p166 :rule trans :premises (@p165 @p162)) % 0.37/0.57 (step @p167 :rule cong :premises (@p166) :args (@t57)) % 0.37/0.57 (step @p168 :rule trans :premises (@p167 @p161)) % 0.37/0.57 (step @p169 :rule quant-unused-vars :args ((= (forall @t5 true) true))) % 0.37/0.57 (step @p170 :rule eq-refl :args (@t55)) % 0.37/0.57 (step @p171 :rule cong :premises (@p170) :args ((forall @t5 (= @t55 @t55)))) % 0.37/0.57 (step @p172 :rule trans :premises (@p171 @p169)) % 0.37/0.57 (step @p173 :rule refl :args (@t55)) % 0.37/0.57 (step @p174 :rule refl :args (@t4)) % 0.37/0.57 (step @p175 :rule ho_cong :premises (@p68 @p174)) % 0.37/0.57 (step @p176 :rule cong :premises (@p175 @p173) :args (@t56)) % 0.37/0.57 (step @p177 :rule cong :premises (@p176) :args (@t57)) % 0.37/0.57 (step @p178 :rule trans :premises (@p177 @p172)) % 0.37/0.57 (step @p179 :rule true_elim :premises (@p178)) % 0.37/0.57 (step @p180 :rule eq_resolve :premises (@p179 @p168)) % 0.37/0.57 (step @p181 :rule refl :args (@t46)) % 0.37/0.57 (step @p182 :rule eq-refl :args (@t24)) % 0.37/0.57 (step @p183 :rule refl :args (@t24)) % 0.37/0.57 (step @p184 :rule cong :premises (@p183 @p44) :args (@t26)) % 0.37/0.57 (step @p185 :rule trans :premises (@p184 @p182)) % 0.37/0.57 (step @p186 :rule true_elim :premises (@p185)) % 0.37/0.57 (step @p187 :rule cong :premises (@p186 @p181) :args (@t58)) % 0.37/0.57 (step @p188 :rule refl :args (@t47)) % 0.37/0.57 (step @p189 :rule cong :premises (@p188 @p187) :args (@t59)) % 0.37/0.57 (step @p190 :rule refl :args (@t60)) % 0.37/0.57 (step @p191 :rule cong :premises (@p190 @p189) :args ((=> @t60 @t59))) % 0.37/0.57 (assume-push @p284 @t60) % 0.37/0.57 (step @p193 :rule instantiate :premises (@p180) :args ((@list @t46))) % 0.37/0.57 (step-pop @p285 :rule scope :premises (@p193)) % 0.37/0.57 (step @p194 :rule process_scope :premises (@p285) :args (@t59)) % 0.37/0.57 (step @p196 :rule eq_resolve :premises (@p194 @p191)) % 0.37/0.57 (step @p197 :rule implies_elim :premises (@p196)) % 0.37/0.57 (step @p198 :rule chain_m_resolution :premises (@p197 @p180) :args (@t61 @t62 (@list @t60))) % 0.37/0.57 (assume-push @p286 @t13) % 0.37/0.57 (assume-push @p287 @t25) % 0.37/0.57 (assume-push @p288 @t61) % 0.37/0.57 (assume-push @p289 @t61) % 0.37/0.57 (assume-push @p290 @t25) % 0.37/0.57 (assume-push @p291 @t13) % 0.37/0.57 (step @p205 :rule symm :premises (@p198)) % 0.37/0.57 (step @p206 :rule true_intro :premises (@p287)) % 0.37/0.57 (step @p207 :rule symm :premises (@p206)) % 0.37/0.57 (step @p208 :rule true_intro :premises (@p286)) % 0.37/0.57 (step @p209 :rule trans :premises (@p208 @p207)) % 0.37/0.57 (step @p210 :rule cong :premises (@p209 @p181) :args (@t48)) % 0.37/0.57 (step @p211 :rule trans :premises (@p210 @p205)) % 0.37/0.57 (step-pop @p292 :rule scope :premises (@p211)) % 0.37/0.57 (step-pop @p293 :rule scope :premises (@p292)) % 0.37/0.57 (step-pop @p294 :rule scope :premises (@p293)) % 0.37/0.57 (step @p212 :rule process_scope :premises (@p294) :args (@t49)) % 0.37/0.57 (step @p216 :rule and_intro :premises (@p198 @p287 @p286)) % 0.37/0.57 (step @p217 :rule modus_ponens :premises (@p216 @p212)) % 0.37/0.57 (step-pop @p295 :rule scope :premises (@p217)) % 0.37/0.57 (step-pop @p296 :rule scope :premises (@p295)) % 0.37/0.57 (step-pop @p297 :rule scope :premises (@p296)) % 0.37/0.57 (step @p218 :rule process_scope :premises (@p297) :args (@t49)) % 0.37/0.57 (step @p222 :rule implies_elim :premises (@p218)) % 0.37/0.57 (step @p223 :rule cnf_and_neg :args (@t63)) % 0.37/0.57 (step @p224 :rule resolution :premises (@p223 @p222) :args (true @t63)) % 0.37/0.57 (step @p225 :rule reordering :premises (@p224) :args ((or @t16 @t49 @t65 @t64))) % 0.37/0.57 (step @p226 :rule chain_m_resolution :premises (@p225 @p198 @p120 @p47 @p35 @p33 @p31 @p29) :args (@t16 (@list false true false false false false false) (@list @t61 @t49 @t25 @t18 @t11 tptp.b @t12))) % 0.37/0.57 (step @p227 :rule equiv_elim2 :premises (@p27)) % 0.37/0.57 (step @p228 :rule chain_m_resolution :premises (@p227 @p226) :args (@t17 @t51 (@list @t13))) % 0.37/0.57 (step @p229 :rule refl :args (@t49)) % 0.37/0.57 (step @p230 :rule refl :args (@t64)) % 0.37/0.57 (step @p231 :rule bool-double-not-elim :args (@t25)) % 0.37/0.57 (step @p232 :rule bool-double-not-elim :args (@t13)) % 0.37/0.57 (step @p233 :rule nary_cong :premises (@p232 @p231 @p230 @p229) :args ((or (not @t16) (not @t65) @t64 @t49))) % 0.37/0.57 (assume-push @p298 @t16) % 0.37/0.57 (assume-push @p299 @t65) % 0.37/0.57 (assume-push @p300 @t61) % 0.37/0.57 (assume-push @p301 @t61) % 0.37/0.57 (assume-push @p302 @t65) % 0.37/0.57 (assume-push @p303 @t16) % 0.37/0.57 (step @p205 :rule symm :premises (@p198)) % 0.37/0.57 (step @p240 :rule false_intro :premises (@p299)) % 0.37/0.57 (step @p241 :rule symm :premises (@p240)) % 0.37/0.57 (step @p242 :rule false_intro :premises (@p298)) % 0.37/0.57 (step @p243 :rule trans :premises (@p242 @p241)) % 0.37/0.57 (step @p244 :rule cong :premises (@p243 @p181) :args (@t48)) % 0.37/0.57 (step @p245 :rule trans :premises (@p244 @p205)) % 0.37/0.57 (step-pop @p304 :rule scope :premises (@p245)) % 0.37/0.57 (step-pop @p305 :rule scope :premises (@p304)) % 0.37/0.57 (step-pop @p306 :rule scope :premises (@p305)) % 0.37/0.57 (step @p246 :rule process_scope :premises (@p306) :args (@t49)) % 0.37/0.57 (step @p250 :rule and_intro :premises (@p198 @p299 @p298)) % 0.37/0.57 (step @p251 :rule modus_ponens :premises (@p250 @p246)) % 0.37/0.57 (step-pop @p307 :rule scope :premises (@p251)) % 0.37/0.57 (step-pop @p308 :rule scope :premises (@p307)) % 0.37/0.57 (step-pop @p309 :rule scope :premises (@p308)) % 0.37/0.57 (step @p252 :rule process_scope :premises (@p309) :args (@t49)) % 0.37/0.57 (step @p256 :rule implies_elim :premises (@p252)) % 0.37/0.57 (step @p257 :rule cnf_and_neg :args (@t66)) % 0.37/0.57 (step @p258 :rule resolution :premises (@p257 @p256) :args (true @t66)) % 0.37/0.57 (step @p259 :rule eq_resolve :premises (@p258 @p233)) % 0.37/0.57 (step @p260 :rule reordering :premises (@p259) :args ((or @t13 @t49 @t25 @t64))) % 0.37/0.57 (step @p261 :rule chain_m_resolution :premises (@p260 @p226 @p120 @p198) :args (@t25 (@list true true false) (@list @t13 @t49 @t61))) % 0.37/0.57 (step @p262 :rule equiv_elim2 :premises (@p45)) % 0.37/0.57 (step @p263 :rule chain_m_resolution :premises (@p262 @p261) :args (@t18 @t62 (@list @t25))) % 0.37/0.57 (step @p264 :rule cnf_and_pos :args (@t18 0)) % 0.37/0.57 (step @p265 :rule reordering :premises (@p264) :args ((or @t11 @t27))) % 0.37/0.57 (step @p266 :rule chain_m_resolution :premises (@p265 @p263) :args (@t11 @t62 @t67)) % 0.37/0.57 (step @p267 :rule cnf_and_pos :args (@t18 1)) % 0.37/0.57 (step @p268 :rule reordering :premises (@p267) :args ((or tptp.b @t27))) % 0.37/0.57 (step @p269 :rule chain_m_resolution :premises (@p268 @p263) :args (tptp.b @t62 @t67)) % 0.37/0.57 (step @p270 :rule cnf_and_neg :args (@t12)) % 0.37/0.57 (step @p271 false :rule chain_m_resolution :premises (@p270 @p269 @p266 @p228) :args (false (@list false false true) (@list tptp.b @t11 @t12))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------