%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV074^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:55:24 AM UTC 2026 % Result : Theorem 3.42s 3.69s % Output : Proof 3.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV074^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.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 18:11:04 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.49 %----Proving TH0 % 3.42/3.69 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 3.42/3.69 % SZS status Theorem % 3.42/3.69 % SZS output start Proof % 3.42/3.69 ( % 3.42/3.69 (declare-sort tptp.a 0) % 3.42/3.69 (define @t1 () (@var "Xy" tptp.a)) % 3.42/3.69 (define @t2 () (@var "Xx" tptp.a)) % 3.42/3.69 (define @t3 () (@var "Xp" (-> tptp.a tptp.a Bool))) % 3.42/3.69 (define @t4 () (_ (_ @t3 @t2) @t1)) % 3.42/3.69 (define @t5 () (@var "Xx0" tptp.a)) % 3.42/3.69 (define @t6 () (_ @t3 @t5)) % 3.42/3.69 (define @t7 () (_ @t6 @t5)) % 3.42/3.69 (define @t8 () (@list @t5)) % 3.42/3.69 (define @t9 () (forall @t8 @t7)) % 3.42/3.69 (define @t10 () (@var "Xy0" tptp.a)) % 3.42/3.69 (define @t11 () (_ @t6 @t10)) % 3.42/3.69 (define @t12 () (@var "Xr" (-> tptp.a tptp.a Bool))) % 3.42/3.69 (define @t13 () (_ (_ @t12 @t5) @t10)) % 3.42/3.69 (define @t14 () (@list @t5 @t10)) % 3.42/3.69 (define @t15 () (forall @t14 (=> @t13 @t11))) % 3.42/3.69 (define @t16 () (and @t15 @t9)) % 3.42/3.69 (define @t17 () (=> @t16 @t4)) % 3.42/3.69 (define @t18 () (@list @t3)) % 3.42/3.69 (define @t19 () (forall @t18 @t17)) % 3.42/3.69 (define @t20 () (= @t2 @t1)) % 3.42/3.69 (define @t21 () (_ (_ @t12 @t2) @t1)) % 3.42/3.69 (define @t22 () (or @t21 @t20)) % 3.42/3.69 (define @t23 () (= @t22 @t19)) % 3.42/3.69 (define @t24 () (@list @t12 @t2 @t1)) % 3.42/3.69 (define @t25 () (forall @t24 @t23)) % 3.42/3.69 (define @t26 () (not @t25)) % 3.42/3.69 (define @t27 () (_ @t12 @t2 @t1)) % 3.42/3.69 (define @t28 () (or @t27 @t20)) % 3.42/3.69 (define @t29 () (_ @t3 @t2 @t1)) % 3.42/3.69 (define @t30 () (_ @t3 @t5 @t5)) % 3.42/3.69 (define @t31 () (forall @t8 @t30)) % 3.42/3.69 (define @t32 () (not @t31)) % 3.42/3.69 (define @t33 () (_ @t3 @t5 @t10)) % 3.42/3.69 (define @t34 () (_ @t12 @t5 @t10)) % 3.42/3.69 (define @t35 () (forall @t14 (or (not @t34) @t33))) % 3.42/3.69 (define @t36 () (not @t35)) % 3.42/3.69 (define @t37 () (forall @t18 (or @t36 @t32 @t29))) % 3.42/3.69 (define @t38 () (= @t22 @t37)) % 3.42/3.69 (define @t39 () (or @t36 @t32 @t4)) % 3.42/3.69 (define @t40 () (and @t35 @t31)) % 3.42/3.69 (define @t41 () (not @t13)) % 3.42/3.69 (define @t42 () (or @t41 @t11)) % 3.42/3.69 (define @t43 () (forall @t24 (= @t37 @t28))) % 3.42/3.69 (define @t44 () (@quantifiers_skolemize @t43 2)) % 3.42/3.69 (define @t45 () (@quantifiers_skolemize @t43 1)) % 3.42/3.69 (define @t46 () (= @t45 @t44)) % 3.42/3.69 (define @t47 () (@quantifiers_skolemize @t43 0)) % 3.42/3.69 (define @t48 () (_ @t47 @t45 @t44)) % 3.42/3.69 (define @t49 () (or @t48 @t46)) % 3.42/3.69 (define @t50 () (_ @t47 @t5 @t10)) % 3.42/3.69 (define @t51 () (not @t50)) % 3.42/3.69 (define @t52 () (forall @t18 (or (not (forall @t14 (or @t51 @t33))) @t32 (_ @t3 @t45 @t44)))) % 3.42/3.69 (define @t53 () (= @t52 @t49)) % 3.42/3.69 (define @t54 () (or @t46 @t48)) % 3.42/3.69 (define @t55 () (@var "BOUND_VARIABLE_74864" tptp.a)) % 3.42/3.69 (define @t56 () (@var "BOUND_VARIABLE_74863" tptp.a)) % 3.42/3.69 (define @t57 () (lambda (@list @t56 @t55) (or (= @t56 @t55) (_ @t47 @t56 @t55)))) % 3.42/3.69 (define @t58 () (_ @t57 @t45 @t44)) % 3.42/3.69 (define @t59 () (_ @t47 @t5 @t5)) % 3.42/3.69 (define @t60 () (or (= @t5 @t5) @t59)) % 3.42/3.69 (define @t61 () (_ @t57 @t5 @t5)) % 3.42/3.69 (define @t62 () (forall @t8 @t61)) % 3.42/3.69 (define @t63 () (not @t62)) % 3.42/3.69 (define @t64 () (= @t5 @t10)) % 3.42/3.69 (define @t65 () (or @t51 @t64 @t50)) % 3.42/3.69 (define @t66 () (or @t64 @t50)) % 3.42/3.69 (define @t67 () (_ @t57 @t5 @t10)) % 3.42/3.69 (define @t68 () (or @t51 @t67)) % 3.42/3.69 (define @t69 () (forall @t14 @t68)) % 3.42/3.69 (define @t70 () (not @t69)) % 3.42/3.69 (define @t71 () (or @t70 @t63 @t58)) % 3.42/3.69 (define @t72 () (not @t52)) % 3.42/3.69 (define @t73 () (@quantifiers_skolemize @t52 0)) % 3.42/3.69 (define @t74 () (_ @t73 @t45 @t44)) % 3.42/3.69 (define @t75 () (forall @t8 (_ @t73 @t5 @t5))) % 3.42/3.69 (define @t76 () (not @t75)) % 3.42/3.69 (define @t77 () (forall @t14 (or @t51 (_ @t73 @t5 @t10)))) % 3.42/3.69 (define @t78 () (not @t77)) % 3.42/3.69 (define @t79 () (or @t78 @t76 @t74)) % 3.42/3.69 (define @t80 () (not @t79)) % 3.42/3.69 (define @t81 () (@list true)) % 3.42/3.69 (define @t82 () (not @t74)) % 3.42/3.69 (define @t83 () (@list @t79)) % 3.42/3.69 (define @t84 () (not @t48)) % 3.42/3.69 (define @t85 () (or @t84 @t74)) % 3.42/3.69 (define @t86 () (@list false)) % 3.42/3.69 (define @t87 () (@list true false)) % 3.42/3.69 (define @t88 () (_ @t73 @t45 @t45)) % 3.42/3.69 (define @t89 () (not @t88)) % 3.42/3.69 (define @t90 () (not @t46)) % 3.42/3.69 (define @t91 () (and @t88 @t46 @t82)) % 3.42/3.69 (assume @p1 @t26) % 3.42/3.69 (assume @p2 true) % 3.42/3.69 (step @p3 :rule eq-symm :args (@t28 @t37)) % 3.42/3.69 (step @p4 :rule cong :premises (@p3) :args ((forall @t24 (= @t28 @t37)))) % 3.42/3.69 (step @p5 :rule refl :args (@t37)) % 3.42/3.69 (step @p6 :rule refl :args (@t20)) % 3.42/3.69 (step @p7 :rule refl :args (@t27)) % 3.42/3.69 (step @p8 :rule refl :args (@t21)) % 3.42/3.69 (step @p9 :rule cong :premises (@p8 @p7) :args ((= @t21 @t27))) % 3.42/3.69 (step @p10 :rule symm :premises (@p9)) % 3.42/3.69 (step @p11 :rule eq_resolve :premises (@p8 @p10)) % 3.42/3.69 (step @p12 :rule nary_cong :premises (@p11 @p6) :args (@t22)) % 3.42/3.69 (step @p13 :rule cong :premises (@p12 @p5) :args (@t38)) % 3.42/3.69 (step @p14 :rule cong :premises (@p13) :args ((forall @t24 @t38))) % 3.42/3.69 (step @p15 :rule trans :premises (@p14 @p4)) % 3.42/3.69 (step @p16 :rule refl :args (@t29)) % 3.42/3.69 (step @p17 :rule refl :args (@t4)) % 3.42/3.69 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t4 @t29))) % 3.42/3.69 (step @p19 :rule symm :premises (@p18)) % 3.42/3.69 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 3.42/3.69 (step @p21 :rule refl :args (@t32)) % 3.42/3.69 (step @p22 :rule refl :args (@t36)) % 3.42/3.69 (step @p23 :rule nary_cong :premises (@p22 @p21 @p20) :args (@t39)) % 3.42/3.69 (step @p24 :rule cong :premises (@p23) :args ((forall @t18 @t39))) % 3.42/3.69 (step @p25 :rule aci_norm :args ((= (or (or @t36 @t32) @t4) @t39))) % 3.42/3.69 (step @p26 :rule bool-and-de-morgan :args (@t35 @t31 true)) % 3.42/3.69 (step @p27 :rule nary_cong :premises (@p26 @p17) :args ((or (not @t40) @t4))) % 3.42/3.69 (step @p28 :rule trans :premises (@p27 @p25)) % 3.42/3.69 (step @p29 :rule bool-impl-elim :args (@t40 @t4)) % 3.42/3.69 (step @p30 :rule trans :premises (@p29 @p28)) % 3.42/3.69 (step @p31 :rule cong :premises (@p30) :args ((forall @t18 (=> @t40 @t4)))) % 3.42/3.69 (step @p32 :rule trans :premises (@p31 @p24)) % 3.42/3.69 (step @p33 :rule refl :args (@t4)) % 3.42/3.69 (step @p34 :rule refl :args (@t30)) % 3.42/3.69 (step @p35 :rule refl :args (@t7)) % 3.42/3.69 (step @p36 :rule cong :premises (@p35 @p34) :args ((= @t7 @t30))) % 3.42/3.69 (step @p37 :rule symm :premises (@p36)) % 3.42/3.69 (step @p38 :rule eq_resolve :premises (@p35 @p37)) % 3.42/3.69 (step @p39 :rule cong :premises (@p38) :args (@t9)) % 3.42/3.69 (step @p40 :rule refl :args (@t33)) % 3.42/3.69 (step @p41 :rule refl :args (@t11)) % 3.42/3.69 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t11 @t33))) % 3.42/3.69 (step @p43 :rule symm :premises (@p42)) % 3.42/3.69 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 3.42/3.69 (step @p45 :rule refl :args (@t34)) % 3.42/3.69 (step @p46 :rule refl :args (@t13)) % 3.42/3.69 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t13 @t34))) % 3.42/3.69 (step @p48 :rule symm :premises (@p47)) % 3.42/3.69 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 3.42/3.69 (step @p50 :rule cong :premises (@p49) :args (@t41)) % 3.42/3.69 (step @p51 :rule nary_cong :premises (@p50 @p44) :args (@t42)) % 3.42/3.69 (step @p52 :rule cong :premises (@p51) :args ((forall @t14 @t42))) % 3.42/3.69 (step @p53 :rule bool-impl-elim :args (@t13 @t11)) % 3.42/3.69 (step @p54 :rule cong :premises (@p53) :args (@t15)) % 3.42/3.69 (step @p55 :rule trans :premises (@p54 @p52)) % 3.42/3.69 (step @p56 :rule nary_cong :premises (@p55 @p39) :args (@t16)) % 3.42/3.69 (step @p57 :rule cong :premises (@p56 @p33) :args (@t17)) % 3.42/3.69 (step @p58 :rule cong :premises (@p57) :args (@t19)) % 3.42/3.69 (step @p59 :rule trans :premises (@p58 @p32)) % 3.42/3.69 (step @p60 :rule refl :args (@t22)) % 3.42/3.69 (step @p61 :rule cong :premises (@p60 @p59) :args (@t23)) % 3.42/3.69 (step @p62 :rule cong :premises (@p61) :args (@t25)) % 3.42/3.69 (step @p63 :rule trans :premises (@p62 @p15)) % 3.42/3.69 (step @p64 :rule cong :premises (@p63) :args (@t26)) % 3.42/3.69 (step @p65 :rule eq_resolve :premises (@p1 @p64)) % 3.42/3.69 (step @p66 :rule skolemize :premises (@p65)) % 3.42/3.69 (step @p67 :rule cnf_equiv_neg2 :args (@t53)) % 3.42/3.69 (step @p68 :rule cnf_or_neg :args (@t49 0)) % 3.42/3.69 (step @p69 :rule cnf_or_neg :args (@t49 1)) % 3.42/3.69 (step @p70 :rule cnf_or_pos :args (@t54)) % 3.42/3.69 (step @p71 :rule reordering :premises (@p70) :args ((or @t48 @t46 (not @t54)))) % 3.42/3.69 (step @p72 :rule aci_norm :args ((= (or false false @t54) @t54))) % 3.42/3.69 (step @p73 :rule beta-reduce :args ((= @t58 @t54))) % 3.42/3.69 (step @p74 :rule evaluate :args ((not true))) % 3.42/3.69 (step @p75 :rule quant-unused-vars :args ((= (forall @t8 true) true))) % 3.42/3.69 (step @p76 :rule absorb :args ((= (or true @t59) true))) % 3.42/3.69 (step @p77 :rule refl :args (@t59)) % 3.42/3.69 (step @p78 :rule eq-refl :args (@t5)) % 3.42/3.69 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t60)) % 3.42/3.69 (step @p80 :rule trans :premises (@p79 @p76)) % 3.42/3.69 (step @p81 :rule beta-reduce :args ((= @t61 @t60))) % 3.42/3.69 (step @p82 :rule trans :premises (@p81 @p80)) % 3.42/3.69 (step @p83 :rule cong :premises (@p82) :args (@t62)) % 3.42/3.69 (step @p84 :rule trans :premises (@p83 @p75)) % 3.42/3.69 (step @p85 :rule cong :premises (@p84) :args (@t63)) % 3.42/3.69 (step @p86 :rule trans :premises (@p85 @p74)) % 3.42/3.69 (step @p87 :rule quant-unused-vars :args ((= (forall @t14 true) true))) % 3.42/3.69 (step @p88 :rule bool-or-taut2 :args (false @t50 (or @t64) false)) % 3.42/3.69 (step @p89 :rule cong :premises (@p88) :args ((forall @t14 @t65))) % 3.42/3.69 (step @p90 :rule trans :premises (@p89 @p87)) % 3.42/3.69 (step @p91 :rule aci_norm :args ((= (or @t51 @t66) @t65))) % 3.42/3.69 (step @p92 :rule beta-reduce :args ((= @t67 @t66))) % 3.42/3.69 (step @p93 :rule refl :args (@t51)) % 3.42/3.69 (step @p94 :rule nary_cong :premises (@p93 @p92) :args (@t68)) % 3.42/3.69 (step @p95 :rule trans :premises (@p94 @p91)) % 3.42/3.69 (step @p96 :rule cong :premises (@p95) :args (@t69)) % 3.42/3.69 (step @p97 :rule trans :premises (@p96 @p90)) % 3.42/3.69 (step @p98 :rule cong :premises (@p97) :args (@t70)) % 3.42/3.69 (step @p99 :rule trans :premises (@p98 @p74)) % 3.42/3.69 (step @p100 :rule nary_cong :premises (@p99 @p86 @p73) :args (@t71)) % 3.42/3.69 (step @p101 :rule trans :premises (@p100 @p72)) % 3.42/3.69 (step @p102 :rule refl :args (@t52)) % 3.42/3.69 (step @p103 :rule cong :premises (@p102 @p101) :args ((=> @t52 @t71))) % 3.42/3.69 (assume-push @p190 @t52) % 3.42/3.69 (step @p105 :rule instantiate :premises (@p190) :args ((@list @t57))) % 3.42/3.69 (step-pop @p191 :rule scope :premises (@p105)) % 3.42/3.69 (step @p106 :rule process_scope :premises (@p191) :args (@t71)) % 3.42/3.69 (step @p108 :rule eq_resolve :premises (@p106 @p103)) % 3.42/3.69 (step @p109 :rule implies_elim :premises (@p108)) % 3.42/3.69 (step @p110 :rule chain_m_resolution :premises (@p109 @p71 @p69 @p68 @p67 @p66) :args (@t72 (@list true true true true true) (@list @t54 @t46 @t48 @t49 @t53))) % 3.42/3.69 (step @p111 :rule refl :args (@t80)) % 3.42/3.69 (step @p112 :rule bool-double-not-elim :args (@t52)) % 3.42/3.69 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or (not @t72) @t80))) % 3.42/3.69 (assume-push @p192 @t72) % 3.42/3.69 (step @p115 :rule skolemize :premises (@p192)) % 3.42/3.69 (step-pop @p193 :rule scope :premises (@p115)) % 3.42/3.69 (step @p116 :rule process_scope :premises (@p193) :args (@t80)) % 3.42/3.69 (step @p118 :rule implies_elim :premises (@p116)) % 3.42/3.69 (step @p119 :rule eq_resolve :premises (@p118 @p113)) % 3.42/3.69 (step @p120 :rule chain_m_resolution :premises (@p119 @p110) :args (@t80 @t81 (@list @t52))) % 3.42/3.69 (step @p121 :rule cnf_or_neg :args (@t79 2)) % 3.42/3.69 (step @p122 :rule chain_m_resolution :premises (@p121 @p120) :args (@t82 @t81 @t83)) % 3.42/3.69 (step @p123 :rule cnf_equiv_neg1 :args (@t53)) % 3.42/3.69 (step @p124 :rule reordering :premises (@p123) :args ((or @t52 @t49 @t53))) % 3.42/3.69 (step @p125 :rule chain_m_resolution :premises (@p124 @p110 @p66) :args (@t49 (@list true true) (@list @t52 @t53))) % 3.42/3.69 (step @p126 :rule bool-double-not-elim :args (@t77)) % 3.42/3.69 (step @p127 :rule refl :args (@t79)) % 3.42/3.69 (step @p128 :rule nary_cong :premises (@p127 @p126) :args ((or @t79 (not @t78)))) % 3.42/3.69 (step @p129 :rule cnf_or_neg :args (@t79 0)) % 3.42/3.69 (step @p130 :rule eq_resolve :premises (@p129 @p128)) % 3.42/3.69 (step @p131 :rule reordering :premises (@p130) :args ((or @t77 @t79))) % 3.42/3.69 (step @p132 :rule chain_m_resolution :premises (@p131 @p120) :args (@t77 @t81 @t83)) % 3.42/3.69 (assume-push @p194 @t77) % 3.42/3.69 (step @p134 :rule instantiate :premises (@p194) :args ((@list @t45 @t44))) % 3.42/3.69 (step-pop @p195 :rule scope :premises (@p134)) % 3.42/3.69 (step @p135 :rule process_scope :premises (@p195) :args (@t85)) % 3.42/3.69 (step @p137 :rule implies_elim :premises (@p135)) % 3.42/3.69 (step @p138 :rule chain_m_resolution :premises (@p137 @p132) :args (@t85 @t86 (@list @t77))) % 3.42/3.69 (step @p139 :rule cnf_or_pos :args (@t85)) % 3.42/3.69 (step @p140 :rule reordering :premises (@p139) :args ((or @t84 @t74 (not @t85)))) % 3.42/3.69 (step @p141 :rule chain_m_resolution :premises (@p140 @p122 @p138) :args (@t84 @t87 (@list @t74 @t85))) % 3.42/3.69 (step @p142 :rule cnf_or_pos :args (@t49)) % 3.42/3.69 (step @p143 :rule reordering :premises (@p142) :args ((or @t48 @t46 (not @t49)))) % 3.42/3.69 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p125) :args (@t46 @t87 (@list @t48 @t49))) % 3.42/3.69 (step @p145 :rule bool-double-not-elim :args (@t75)) % 3.42/3.69 (step @p146 :rule nary_cong :premises (@p127 @p145) :args ((or @t79 (not @t76)))) % 3.42/3.69 (step @p147 :rule cnf_or_neg :args (@t79 1)) % 3.42/3.69 (step @p148 :rule eq_resolve :premises (@p147 @p146)) % 3.42/3.69 (step @p149 :rule reordering :premises (@p148) :args ((or @t75 @t79))) % 3.42/3.69 (step @p150 :rule chain_m_resolution :premises (@p149 @p120) :args (@t75 @t81 @t83)) % 3.42/3.69 (assume-push @p196 @t75) % 3.42/3.69 (step @p152 :rule instantiate :premises (@p196) :args ((@list @t45))) % 3.42/3.69 (step-pop @p197 :rule scope :premises (@p152)) % 3.42/3.69 (step @p153 :rule process_scope :premises (@p197) :args (@t88)) % 3.42/3.69 (step @p155 :rule implies_elim :premises (@p153)) % 3.42/3.69 (step @p156 :rule chain_m_resolution :premises (@p155 @p150) :args (@t88 @t86 (@list @t75))) % 3.42/3.69 (step @p157 :rule refl :args (@t89)) % 3.42/3.69 (step @p158 :rule bool-double-not-elim :args (@t74)) % 3.42/3.69 (step @p159 :rule refl :args (@t90)) % 3.42/3.69 (step @p160 :rule nary_cong :premises (@p159 @p158 @p157) :args ((or @t90 (not @t82) @t89))) % 3.42/3.70 (assume-push @p198 @t88) % 3.42/3.70 (assume-push @p199 @t46) % 3.42/3.70 (assume-push @p200 @t82) % 3.42/3.70 (step @p164 :rule evaluate :args ((= false true))) % 3.42/3.70 (step @p165 :rule true_intro :premises (@p198)) % 3.42/3.70 (step @p166 :rule symm :premises (@p199)) % 3.42/3.70 (step @p167 :rule refl :args (@t45)) % 3.42/3.70 (step @p168 :rule cong :premises (@p167 @p166) :args (@t74)) % 3.42/3.70 (step @p169 :rule false_intro :premises (@p200)) % 3.42/3.70 (step @p170 :rule symm :premises (@p169)) % 3.42/3.70 (step @p171 :rule trans :premises (@p170 @p168 @p165)) % 3.42/3.70 (step @p172 false :rule eq_resolve :premises (@p171 @p164)) % 3.42/3.70 (step-pop @p201 :rule scope :premises (@p172)) % 3.42/3.70 (step-pop @p202 :rule scope :premises (@p201)) % 3.42/3.70 (step-pop @p203 :rule scope :premises (@p202)) % 3.42/3.70 (step @p173 :rule process_scope :premises (@p203) :args (false)) % 3.42/3.70 (assume-push @p204 @t46) % 3.42/3.70 (assume-push @p205 @t82) % 3.42/3.70 (assume-push @p206 @t88) % 3.42/3.70 (step @p180 :rule and_intro :premises (@p206 @p204 @p205)) % 3.42/3.70 (step-pop @p207 :rule scope :premises (@p180)) % 3.42/3.70 (step-pop @p208 :rule scope :premises (@p207)) % 3.42/3.70 (step-pop @p209 :rule scope :premises (@p208)) % 3.42/3.70 (step @p181 :rule process_scope :premises (@p209) :args (@t91)) % 3.42/3.70 (step @p185 :rule implies_elim :premises (@p181)) % 3.42/3.70 (step @p186 :rule resolution :premises (@p185 @p173) :args (true @t91)) % 3.42/3.70 (step @p187 :rule not_and :premises (@p186)) % 3.42/3.70 (step @p188 :rule eq_resolve :premises (@p187 @p160)) % 3.42/3.70 (step @p189 false :rule chain_m_resolution :premises (@p188 @p156 @p144 @p122) :args (false (@list false false true) (@list @t88 @t46 @t74))) % 3.42/3.70 ) % 3.42/3.70 % SZS output end Proof % 3.42/3.70 % cvc5 exiting %------------------------------------------------------------------------------