%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV229^5 : 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 08:55:38 AM UTC 2026 % Result : Theorem 0.30s 0.54s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SEV229^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n010.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 18:21:25 EDT 2026 % 0.15/0.33 % CPUTime : % 0.30/0.47 %----Proving TH0 % 0.30/0.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.30/0.54 % SZS status Theorem % 0.30/0.54 % SZS output start Proof % 0.30/0.54 ( % 0.30/0.54 (declare-sort tptp.a 0) % 0.30/0.54 (declare-const tptp.cD (-> tptp.a Bool)) % 0.30/0.54 (declare-const tptp.cE (-> tptp.a Bool)) % 0.30/0.54 (define @t1 () (@var "Xx0" tptp.a)) % 0.30/0.54 (define @t2 () (_ tptp.cE @t1)) % 0.30/0.54 (define @t3 () (@var "Xx" (-> tptp.a Bool))) % 0.30/0.54 (define @t4 () (_ @t3 @t1)) % 0.30/0.54 (define @t5 () (@list @t1)) % 0.30/0.54 (define @t6 () (forall @t5 (=> @t4 @t2))) % 0.30/0.54 (define @t7 () (_ tptp.cD @t1)) % 0.30/0.54 (define @t8 () (forall @t5 (=> @t4 @t7))) % 0.30/0.54 (define @t9 () (and @t8 @t6)) % 0.30/0.54 (define @t10 () (@list @t3)) % 0.30/0.54 (define @t11 () (lambda @t10 @t9)) % 0.30/0.54 (define @t12 () (@var "Xx" tptp.a)) % 0.30/0.54 (define @t13 () (_ tptp.cE @t12)) % 0.30/0.54 (define @t14 () (_ tptp.cD @t12)) % 0.30/0.54 (define @t15 () (and @t14 @t13)) % 0.30/0.54 (define @t16 () (@var "R" (-> tptp.a Bool))) % 0.30/0.54 (define @t17 () (_ @t16 @t12)) % 0.30/0.54 (define @t18 () (@list @t12)) % 0.30/0.54 (define @t19 () (forall @t18 (=> @t17 @t15))) % 0.30/0.54 (define @t20 () (@list @t16)) % 0.30/0.54 (define @t21 () (lambda @t20 @t19)) % 0.30/0.54 (define @t22 () (= @t21 @t11)) % 0.30/0.54 (define @t23 () (not @t22)) % 0.30/0.54 (define @t24 () (tptp.cE @t12)) % 0.30/0.54 (define @t25 () (tptp.cD @t12)) % 0.30/0.54 (define @t26 () (and @t25 @t24)) % 0.30/0.54 (define @t27 () (_ @t16 @t12)) % 0.30/0.54 (define @t28 () (lambda @t20 (forall @t18 (or (not @t27) @t26)))) % 0.30/0.54 (define @t29 () (@purify @t28)) % 0.30/0.54 (define @t30 () (tptp.cE @t1)) % 0.30/0.54 (define @t31 () (_ @t3 @t1)) % 0.30/0.54 (define @t32 () (not @t31)) % 0.30/0.54 (define @t33 () (tptp.cD @t1)) % 0.30/0.54 (define @t34 () (lambda @t10 (and (forall @t5 (or @t32 @t33)) (forall @t5 (or @t32 @t30))))) % 0.30/0.54 (define @t35 () (@purify @t34)) % 0.30/0.54 (define @t36 () (= @t28 @t34)) % 0.30/0.54 (define @t37 () (not @t4)) % 0.30/0.54 (define @t38 () (or @t37 @t2)) % 0.30/0.54 (define @t39 () (or @t37 @t7)) % 0.30/0.54 (define @t40 () (not @t17)) % 0.30/0.54 (define @t41 () (or @t40 @t15)) % 0.30/0.54 (define @t42 () (@const 0 (-> tptp.a Bool))) % 0.30/0.54 (define @t43 () (not (_ @t42 @t1))) % 0.30/0.54 (define @t44 () (forall @t5 (or @t43 @t30))) % 0.30/0.54 (define @t45 () (forall @t5 (or @t43 @t33))) % 0.30/0.54 (define @t46 () (and @t45 @t44)) % 0.30/0.54 (define @t47 () (forall @t18 (or (not (_ @t42 @t12)) @t26))) % 0.30/0.54 (define @t48 () (= (_ @t28 @t42) @t47)) % 0.30/0.54 (define @t49 () (_ @t29 @t42)) % 0.30/0.54 (define @t50 () (= (_ @t34 @t42) @t46)) % 0.30/0.54 (define @t51 () (_ @t35 @t42)) % 0.30/0.54 (define @t52 () (= @t51 @t49)) % 0.30/0.54 (define @t53 () (not @t52)) % 0.30/0.54 (define @t54 () (= @t35 @t29)) % 0.30/0.54 (define @t55 () (or @t54 @t53)) % 0.30/0.54 (define @t56 () (= @t47 @t46)) % 0.30/0.54 (define @t57 () (@list true)) % 0.30/0.54 (define @t58 () (@quantifiers_skolemize @t45 0)) % 0.30/0.54 (define @t59 () (tptp.cD @t58)) % 0.30/0.54 (define @t60 () (and @t59 (tptp.cE @t58))) % 0.30/0.54 (define @t61 () (_ @t42 @t58)) % 0.30/0.54 (define @t62 () (not @t61)) % 0.30/0.54 (define @t63 () (or @t62 @t60)) % 0.30/0.54 (define @t64 () (or @t62 @t59)) % 0.30/0.54 (define @t65 () (not @t63)) % 0.30/0.54 (define @t66 () (not @t64)) % 0.30/0.54 (define @t67 () (not @t45)) % 0.30/0.54 (define @t68 () (@quantifiers_skolemize @t44 0)) % 0.30/0.54 (define @t69 () (tptp.cE @t68)) % 0.30/0.54 (define @t70 () (_ @t42 @t68)) % 0.30/0.54 (define @t71 () (not @t70)) % 0.30/0.54 (define @t72 () (or @t71 @t69)) % 0.30/0.54 (define @t73 () (not @t72)) % 0.30/0.54 (define @t74 () (not @t44)) % 0.30/0.54 (define @t75 () (and (tptp.cD @t68) @t69)) % 0.30/0.54 (define @t76 () (or @t71 @t75)) % 0.30/0.54 (define @t77 () (not @t47)) % 0.30/0.54 (define @t78 () (not @t46)) % 0.30/0.54 (define @t79 () (@list false)) % 0.30/0.54 (define @t80 () (@list @t46)) % 0.30/0.54 (define @t81 () (@quantifiers_skolemize @t47 0)) % 0.30/0.54 (define @t82 () (@list @t81)) % 0.30/0.54 (define @t83 () (tptp.cD @t81)) % 0.30/0.54 (define @t84 () (_ @t42 @t81)) % 0.30/0.54 (define @t85 () (not @t84)) % 0.30/0.54 (define @t86 () (or @t85 @t83)) % 0.30/0.54 (define @t87 () (tptp.cE @t81)) % 0.30/0.54 (define @t88 () (and @t83 @t87)) % 0.30/0.54 (define @t89 () (or @t85 @t88)) % 0.30/0.54 (define @t90 () (not @t89)) % 0.30/0.54 (define @t91 () (@list @t89)) % 0.30/0.54 (define @t92 () (@list true false)) % 0.30/0.54 (define @t93 () (or @t85 @t87)) % 0.30/0.54 (define @t94 () (not @t93)) % 0.30/0.54 (assume @p1 @t23) % 0.30/0.54 (assume @p2 true) % 0.30/0.54 (step @p3 :rule eq-symm :args (@t29 @t35)) % 0.30/0.54 (step @p4 :rule eq-refl :args (@t34)) % 0.30/0.54 (step @p5 :rule skolem_intro :args (@t35)) % 0.30/0.54 (step @p6 :rule refl :args (@t34)) % 0.30/0.54 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t34 @t35))) % 0.30/0.54 (step @p8 :rule trans :premises (@p7 @p4)) % 0.30/0.54 (step @p9 :rule true_elim :premises (@p8)) % 0.30/0.54 (step @p10 :rule eq-refl :args (@t28)) % 0.30/0.54 (step @p11 :rule skolem_intro :args (@t29)) % 0.30/0.54 (step @p12 :rule refl :args (@t28)) % 0.30/0.54 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t28 @t29))) % 0.30/0.54 (step @p14 :rule trans :premises (@p13 @p10)) % 0.30/0.54 (step @p15 :rule true_elim :premises (@p14)) % 0.30/0.54 (step @p16 :rule cong :premises (@p15 @p9) :args (@t36)) % 0.30/0.54 (step @p17 :rule trans :premises (@p16 @p3)) % 0.30/0.54 (step @p18 :rule cong :premises (@p17) :args ((not @t36))) % 0.30/0.54 (step @p19 :rule refl :args (@t30)) % 0.30/0.54 (step @p20 :rule refl :args (@t2)) % 0.30/0.54 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t2 @t30))) % 0.30/0.54 (step @p22 :rule symm :premises (@p21)) % 0.30/0.54 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.30/0.54 (step @p24 :rule refl :args (@t31)) % 0.30/0.54 (step @p25 :rule refl :args (@t4)) % 0.30/0.54 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t4 @t31))) % 0.30/0.54 (step @p27 :rule symm :premises (@p26)) % 0.30/0.54 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.30/0.54 (step @p29 :rule cong :premises (@p28) :args (@t37)) % 0.30/0.54 (step @p30 :rule nary_cong :premises (@p29 @p23) :args (@t38)) % 0.30/0.54 (step @p31 :rule cong :premises (@p30) :args ((forall @t5 @t38))) % 0.30/0.54 (step @p32 :rule bool-impl-elim :args (@t4 @t2)) % 0.30/0.54 (step @p33 :rule cong :premises (@p32) :args (@t6)) % 0.30/0.54 (step @p34 :rule trans :premises (@p33 @p31)) % 0.30/0.54 (step @p35 :rule refl :args (@t33)) % 0.30/0.54 (step @p36 :rule refl :args (@t7)) % 0.30/0.54 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t7 @t33))) % 0.30/0.54 (step @p38 :rule symm :premises (@p37)) % 0.30/0.54 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.30/0.54 (step @p40 :rule nary_cong :premises (@p29 @p39) :args (@t39)) % 0.30/0.54 (step @p41 :rule cong :premises (@p40) :args ((forall @t5 @t39))) % 0.30/0.54 (step @p42 :rule bool-impl-elim :args (@t4 @t7)) % 0.30/0.54 (step @p43 :rule cong :premises (@p42) :args (@t8)) % 0.30/0.54 (step @p44 :rule trans :premises (@p43 @p41)) % 0.30/0.54 (step @p45 :rule nary_cong :premises (@p44 @p34) :args (@t9)) % 0.30/0.54 (step @p46 :rule cong :premises (@p45) :args (@t11)) % 0.30/0.54 (step @p47 :rule refl :args (@t24)) % 0.30/0.54 (step @p48 :rule refl :args (@t13)) % 0.30/0.54 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t13 @t24))) % 0.30/0.54 (step @p50 :rule symm :premises (@p49)) % 0.30/0.54 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.30/0.54 (step @p52 :rule refl :args (@t25)) % 0.30/0.54 (step @p53 :rule refl :args (@t14)) % 0.30/0.54 (step @p54 :rule cong :premises (@p53 @p52) :args ((= @t14 @t25))) % 0.30/0.54 (step @p55 :rule symm :premises (@p54)) % 0.30/0.54 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 0.30/0.54 (step @p57 :rule nary_cong :premises (@p56 @p51) :args (@t15)) % 0.30/0.54 (step @p58 :rule refl :args (@t27)) % 0.30/0.54 (step @p59 :rule refl :args (@t17)) % 0.30/0.54 (step @p60 :rule cong :premises (@p59 @p58) :args ((= @t17 @t27))) % 0.30/0.54 (step @p61 :rule symm :premises (@p60)) % 0.30/0.54 (step @p62 :rule eq_resolve :premises (@p59 @p61)) % 0.30/0.54 (step @p63 :rule cong :premises (@p62) :args (@t40)) % 0.30/0.54 (step @p64 :rule nary_cong :premises (@p63 @p57) :args (@t41)) % 0.30/0.54 (step @p65 :rule cong :premises (@p64) :args ((forall @t18 @t41))) % 0.30/0.54 (step @p66 :rule bool-impl-elim :args (@t17 @t15)) % 0.30/0.54 (step @p67 :rule cong :premises (@p66) :args (@t19)) % 0.30/0.54 (step @p68 :rule trans :premises (@p67 @p65)) % 0.30/0.54 (step @p69 :rule cong :premises (@p68) :args (@t21)) % 0.30/0.54 (step @p70 :rule cong :premises (@p69 @p46) :args (@t22)) % 0.30/0.54 (step @p71 :rule cong :premises (@p70) :args (@t23)) % 0.30/0.54 (step @p72 :rule trans :premises (@p71 @p18)) % 0.30/0.54 (step @p73 :rule eq_resolve :premises (@p1 @p72)) % 0.30/0.54 (step @p74 :rule eq-symm :args (@t46 @t47)) % 0.30/0.54 (step @p75 :rule eq-refl :args (@t47)) % 0.30/0.54 (step @p76 :rule refl :args (@t47)) % 0.30/0.54 (step @p77 :rule beta-reduce :args (@t48)) % 0.30/0.54 (step @p78 :rule cong :premises (@p77 @p76) :args (@t48)) % 0.30/0.54 (step @p79 :rule trans :premises (@p78 @p75)) % 0.30/0.54 (step @p80 :rule refl :args (@t42)) % 0.30/0.54 (step @p81 :rule ho_cong :premises (@p11 @p80)) % 0.30/0.54 (step @p82 :rule cong :premises (@p81 @p76) :args ((= @t49 @t47))) % 0.30/0.54 (step @p83 :rule trans :premises (@p82 @p79)) % 0.30/0.54 (step @p84 :rule true_elim :premises (@p83)) % 0.30/0.54 (step @p85 :rule eq-refl :args (@t46)) % 0.30/0.54 (step @p86 :rule refl :args (@t46)) % 0.30/0.54 (step @p87 :rule beta-reduce :args (@t50)) % 0.30/0.54 (step @p88 :rule cong :premises (@p87 @p86) :args (@t50)) % 0.30/0.54 (step @p89 :rule trans :premises (@p88 @p85)) % 0.30/0.54 (step @p90 :rule ho_cong :premises (@p5 @p80)) % 0.30/0.54 (step @p91 :rule cong :premises (@p90 @p86) :args ((= @t51 @t46))) % 0.30/0.54 (step @p92 :rule trans :premises (@p91 @p89)) % 0.30/0.54 (step @p93 :rule true_elim :premises (@p92)) % 0.30/0.54 (step @p94 :rule cong :premises (@p93 @p84) :args (@t52)) % 0.30/0.54 (step @p95 :rule trans :premises (@p94 @p74)) % 0.30/0.54 (step @p96 :rule cong :premises (@p95) :args (@t53)) % 0.30/0.54 (step @p97 :rule refl :args (@t54)) % 0.30/0.54 (step @p98 :rule nary_cong :premises (@p97 @p96) :args (@t55)) % 0.30/0.54 ; WARNING: add trust step for TRUST % 0.30/0.54 ; trust TRUST THEORY_LEMMA % 0.30/0.54 (step @p99 :rule trust :premises () :args (@t55)) % 0.30/0.54 (step @p100 :rule eq_resolve :premises (@p99 @p98)) % 0.30/0.54 (step @p101 :rule chain_m_resolution :premises (@p100 @p73) :args ((not @t56) @t57 (@list @t54))) % 0.30/0.54 (step @p102 :rule cnf_equiv_neg2 :args (@t56)) % 0.30/0.54 (assume-push @p204 @t47) % 0.30/0.54 (step @p104 :rule instantiate :premises (@p204) :args ((@list @t58))) % 0.30/0.54 (step-pop @p205 :rule scope :premises (@p104)) % 0.30/0.54 (step @p105 :rule process_scope :premises (@p205) :args (@t63)) % 0.30/0.54 (step @p107 :rule implies_elim :premises (@p105)) % 0.30/0.54 (step @p108 :rule bool-double-not-elim :args (@t61)) % 0.30/0.54 (step @p109 :rule refl :args (@t64)) % 0.30/0.54 (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((or @t64 (not @t62)))) % 0.30/0.54 (step @p111 :rule cnf_or_neg :args (@t64 0)) % 0.30/0.54 (step @p112 :rule eq_resolve :premises (@p111 @p110)) % 0.30/0.54 (step @p113 :rule reordering :premises (@p112) :args ((or @t61 @t64))) % 0.30/0.54 (step @p114 :rule cnf_or_neg :args (@t64 1)) % 0.30/0.54 (step @p115 :rule cnf_or_pos :args (@t63)) % 0.30/0.54 (step @p116 :rule reordering :premises (@p115) :args ((or @t62 @t60 @t65))) % 0.30/0.54 (step @p117 :rule cnf_and_pos :args (@t60 0)) % 0.30/0.54 (step @p118 :rule reordering :premises (@p117) :args ((or @t59 (not @t60)))) % 0.30/0.54 (step @p119 :rule chain_m_resolution :premises (@p118 @p116 @p114 @p113) :args ((or @t64 @t65) (@list false true false) (@list @t60 @t59 @t61))) % 0.30/0.54 (step @p120 :rule refl :args (@t66)) % 0.30/0.54 (step @p121 :rule bool-double-not-elim :args (@t45)) % 0.30/0.54 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or (not @t67) @t66))) % 0.30/0.54 (assume-push @p206 @t67) % 0.30/0.54 (step @p124 :rule skolemize :premises (@p206)) % 0.30/0.54 (step-pop @p207 :rule scope :premises (@p124)) % 0.30/0.54 (step @p125 :rule process_scope :premises (@p207) :args (@t66)) % 0.30/0.54 (step @p127 :rule implies_elim :premises (@p125)) % 0.30/0.54 (step @p128 :rule eq_resolve :premises (@p127 @p122)) % 0.30/0.54 (step @p129 :rule cnf_and_neg :args (@t46)) % 0.30/0.54 (step @p130 :rule refl :args (@t73)) % 0.30/0.54 (step @p131 :rule bool-double-not-elim :args (@t44)) % 0.30/0.54 (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or (not @t74) @t73))) % 0.30/0.54 (assume-push @p208 @t74) % 0.30/0.54 (step @p134 :rule skolemize :premises (@p208)) % 0.30/0.54 (step-pop @p209 :rule scope :premises (@p134)) % 0.30/0.54 (step @p135 :rule process_scope :premises (@p209) :args (@t73)) % 0.30/0.54 (step @p137 :rule implies_elim :premises (@p135)) % 0.30/0.54 (step @p138 :rule eq_resolve :premises (@p137 @p132)) % 0.30/0.54 (step @p139 :rule bool-double-not-elim :args (@t70)) % 0.30/0.54 (step @p140 :rule refl :args (@t72)) % 0.30/0.54 (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or @t72 (not @t71)))) % 0.30/0.54 (step @p142 :rule cnf_or_neg :args (@t72 0)) % 0.30/0.54 (step @p143 :rule eq_resolve :premises (@p142 @p141)) % 0.30/0.54 (step @p144 :rule reordering :premises (@p143) :args ((or @t70 @t72))) % 0.30/0.54 (step @p145 :rule cnf_or_neg :args (@t72 1)) % 0.30/0.54 (step @p146 :rule cnf_and_pos :args (@t75 1)) % 0.30/0.54 (step @p147 :rule reordering :premises (@p146) :args ((or @t69 (not @t75)))) % 0.30/0.54 (assume-push @p210 @t47) % 0.30/0.54 (step @p149 :rule instantiate :premises (@p210) :args ((@list @t68))) % 0.30/0.54 (step-pop @p211 :rule scope :premises (@p149)) % 0.30/0.54 (step @p150 :rule process_scope :premises (@p211) :args (@t76)) % 0.30/0.54 (step @p152 :rule implies_elim :premises (@p150)) % 0.30/0.54 (step @p153 :rule cnf_or_pos :args (@t76)) % 0.30/0.54 (step @p154 :rule reordering :premises (@p153) :args ((or @t71 @t75 (not @t76)))) % 0.30/0.54 (step @p155 :rule chain_m_resolution :premises (@p154 @p152 @p147 @p145 @p144 @p138 @p129 @p128 @p119 @p107 @p102 @p101) :args (@t77 (@list false true true false true true false false false true true) (@list @t76 @t75 @t69 @t70 @t72 @t44 @t45 @t64 @t63 @t46 @t56))) % 0.30/0.54 (step @p156 :rule cnf_equiv_neg1 :args (@t56)) % 0.30/0.54 (step @p157 :rule reordering :premises (@p156) :args ((or @t47 @t46 @t56))) % 0.30/0.54 (step @p158 :rule chain_m_resolution :premises (@p157 @p155 @p101) :args (@t46 (@list true true) (@list @t47 @t56))) % 0.30/0.54 (step @p159 :rule cnf_and_pos :args (@t46 1)) % 0.30/0.54 (step @p160 :rule reordering :premises (@p159) :args ((or @t44 @t78))) % 0.30/0.54 (step @p161 :rule chain_m_resolution :premises (@p160 @p158) :args (@t44 @t79 @t80)) % 0.30/0.54 (step @p162 :rule cnf_and_pos :args (@t46 0)) % 0.30/0.54 (step @p163 :rule reordering :premises (@p162) :args ((or @t45 @t78))) % 0.30/0.54 (step @p164 :rule chain_m_resolution :premises (@p163 @p158) :args (@t45 @t79 @t80)) % 0.30/0.55 (assume-push @p212 @t45) % 0.30/0.55 (step @p166 :rule instantiate :premises (@p212) :args (@t82)) % 0.30/0.55 (step-pop @p213 :rule scope :premises (@p166)) % 0.30/0.55 (step @p167 :rule process_scope :premises (@p213) :args (@t86)) % 0.30/0.55 (step @p169 :rule implies_elim :premises (@p167)) % 0.30/0.55 (step @p170 :rule chain_m_resolution :premises (@p169 @p164) :args (@t86 @t79 (@list @t45))) % 0.30/0.55 (step @p171 :rule refl :args (@t90)) % 0.30/0.55 (step @p172 :rule bool-double-not-elim :args (@t47)) % 0.30/0.55 (step @p173 :rule nary_cong :premises (@p172 @p171) :args ((or (not @t77) @t90))) % 0.30/0.55 (assume-push @p214 @t77) % 0.30/0.55 (step @p175 :rule skolemize :premises (@p214)) % 0.30/0.55 (step-pop @p215 :rule scope :premises (@p175)) % 0.30/0.55 (step @p176 :rule process_scope :premises (@p215) :args (@t90)) % 0.30/0.55 (step @p178 :rule implies_elim :premises (@p176)) % 0.30/0.55 (step @p179 :rule eq_resolve :premises (@p178 @p173)) % 0.30/0.55 (step @p180 :rule chain_m_resolution :premises (@p179 @p155) :args (@t90 @t57 (@list @t47))) % 0.30/0.55 (step @p181 :rule bool-double-not-elim :args (@t84)) % 0.30/0.55 (step @p182 :rule refl :args (@t89)) % 0.30/0.55 (step @p183 :rule nary_cong :premises (@p182 @p181) :args ((or @t89 (not @t85)))) % 0.30/0.55 (step @p184 :rule cnf_or_neg :args (@t89 0)) % 0.30/0.55 (step @p185 :rule eq_resolve :premises (@p184 @p183)) % 0.30/0.55 (step @p186 :rule reordering :premises (@p185) :args ((or @t84 @t89))) % 0.30/0.55 (step @p187 :rule chain_m_resolution :premises (@p186 @p180) :args (@t84 @t57 @t91)) % 0.30/0.55 (step @p188 :rule cnf_or_pos :args (@t86)) % 0.30/0.55 (step @p189 :rule reordering :premises (@p188) :args ((or @t85 @t83 (not @t86)))) % 0.30/0.55 (step @p190 :rule chain_m_resolution :premises (@p189 @p187 @p170) :args (@t83 (@list false false) (@list @t84 @t86))) % 0.30/0.55 (step @p191 :rule cnf_or_neg :args (@t89 1)) % 0.30/0.55 (step @p192 :rule chain_m_resolution :premises (@p191 @p180) :args ((not @t88) @t57 @t91)) % 0.30/0.55 (step @p193 :rule cnf_and_neg :args (@t88)) % 0.30/0.55 (step @p194 :rule chain_m_resolution :premises (@p193 @p192 @p190) :args ((not @t87) @t92 (@list @t88 @t83))) % 0.30/0.55 (step @p195 :rule cnf_or_pos :args (@t93)) % 0.30/0.55 (step @p196 :rule reordering :premises (@p195) :args ((or @t85 @t87 @t94))) % 0.30/0.55 (step @p197 :rule chain_m_resolution :premises (@p196 @p187 @p194) :args (@t94 (@list false true) (@list @t84 @t87))) % 0.30/0.55 (assume-push @p216 @t44) % 0.30/0.55 (step @p199 :rule instantiate :premises (@p216) :args (@t82)) % 0.30/0.55 (step-pop @p217 :rule scope :premises (@p199)) % 0.30/0.55 (step @p200 :rule process_scope :premises (@p217) :args (@t93)) % 0.30/0.55 (step @p202 :rule implies_elim :premises (@p200)) % 0.30/0.55 (step @p203 false :rule chain_m_resolution :premises (@p202 @p197 @p161) :args (false @t92 (@list @t93 @t44))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------