%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM698^1 : 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 : n011.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 08:40:25 AM UTC 2026 % Result : Theorem 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM698^1 : 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 % 0.16/0.34 % Computer : n011.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 11:57:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.39/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort tptp.nat 0) % 0.39/0.56 (declare-const tptp.pl (-> tptp.nat tptp.nat tptp.nat)) % 0.39/0.56 (declare-const tptp.n_1 tptp.nat) % 0.39/0.56 (declare-const tptp.lessis (-> tptp.nat tptp.nat Bool)) % 0.39/0.56 (declare-const tptp.some (-> (-> tptp.nat Bool) Bool)) % 0.39/0.56 (declare-const tptp.diffprop (-> tptp.nat tptp.nat tptp.nat Bool)) % 0.39/0.56 (declare-const tptp.moreis (-> tptp.nat tptp.nat Bool)) % 0.39/0.56 (declare-const tptp.x tptp.nat) % 0.39/0.56 (declare-const tptp.y tptp.nat) % 0.39/0.56 (define @t1 () (@var "Xv" tptp.nat)) % 0.39/0.56 (define @t2 () (_ (_ tptp.diffprop tptp.x) tptp.y)) % 0.39/0.56 (define @t3 () (_ @t2 @t1)) % 0.39/0.56 (define @t4 () (@list @t1)) % 0.39/0.56 (define @t5 () (lambda @t4 @t3)) % 0.39/0.56 (define @t6 () (@var "Xx" tptp.nat)) % 0.39/0.56 (define @t7 () (@var "Xy" tptp.nat)) % 0.39/0.56 (define @t8 () (_ (_ tptp.lessis @t7) @t6)) % 0.39/0.56 (define @t9 () (_ (_ tptp.moreis @t6) @t7)) % 0.39/0.56 (define @t10 () (@list @t6 @t7)) % 0.39/0.56 (define @t11 () (forall @t10 (=> @t9 @t8))) % 0.39/0.56 (define @t12 () (_ (_ tptp.pl @t6) tptp.n_1)) % 0.39/0.56 (define @t13 () (_ tptp.moreis @t7)) % 0.39/0.56 (define @t14 () (_ @t13 @t12)) % 0.39/0.56 (define @t15 () (@var "Xu" tptp.nat)) % 0.39/0.56 (define @t16 () (_ (_ (_ tptp.diffprop @t7) @t6) @t15)) % 0.39/0.56 (define @t17 () (@list @t15)) % 0.39/0.56 (define @t18 () (lambda @t17 @t16)) % 0.39/0.56 (define @t19 () (_ tptp.some @t18)) % 0.39/0.56 (define @t20 () (forall @t10 (=> @t19 @t14))) % 0.39/0.56 (define @t21 () (_ (_ tptp.pl tptp.y) tptp.n_1)) % 0.39/0.56 (define @t22 () (_ (_ tptp.lessis @t21) tptp.x)) % 0.39/0.56 (define @t23 () (not @t22)) % 0.39/0.56 (define @t24 () (tptp.diffprop tptp.x tptp.y @t1)) % 0.39/0.56 (define @t25 () (@purify @t5)) % 0.39/0.56 (define @t26 () (_ @t25 @t1)) % 0.39/0.56 (define @t27 () (= @t3 @t26)) % 0.39/0.56 (define @t28 () (_ @t5 @t1)) % 0.39/0.56 (define @t29 () (= @t26 @t28)) % 0.39/0.56 (define @t30 () (forall @t4 @t29)) % 0.39/0.56 (define @t31 () (tptp.pl @t6 tptp.n_1)) % 0.39/0.56 (define @t32 () (tptp.moreis @t7 @t31)) % 0.39/0.56 (define @t33 () (tptp.diffprop @t7 @t6 @t15)) % 0.39/0.56 (define @t34 () (lambda @t17 @t33)) % 0.39/0.56 (define @t35 () (tptp.some @t34)) % 0.39/0.56 (define @t36 () (not @t19)) % 0.39/0.56 (define @t37 () (or @t36 @t14)) % 0.39/0.56 (define @t38 () (tptp.pl tptp.y tptp.n_1)) % 0.39/0.56 (define @t39 () (tptp.moreis tptp.x @t38)) % 0.39/0.56 (define @t40 () (lambda @t17 (tptp.diffprop tptp.x tptp.y @t15))) % 0.39/0.56 (define @t41 () (tptp.some @t40)) % 0.39/0.56 (define @t42 () (not @t41)) % 0.39/0.56 (define @t43 () (or @t42 @t39)) % 0.39/0.56 (define @t44 () (forall @t10 (or (not @t35) @t32))) % 0.39/0.56 (define @t45 () (tptp.some @t2)) % 0.39/0.56 (define @t46 () (not @t45)) % 0.39/0.56 (define @t47 () (or @t46 @t39)) % 0.39/0.56 (define @t48 () (tptp.lessis @t7 @t6)) % 0.39/0.56 (define @t49 () (tptp.moreis @t6 @t7)) % 0.39/0.56 (define @t50 () (not @t9)) % 0.39/0.56 (define @t51 () (or @t50 @t8)) % 0.39/0.56 (define @t52 () (tptp.lessis @t38 tptp.x)) % 0.39/0.56 (define @t53 () (not @t39)) % 0.39/0.56 (define @t54 () (or @t53 @t52)) % 0.39/0.56 (define @t55 () (@list true false)) % 0.39/0.56 (define @t56 () (tptp.some @t25)) % 0.39/0.56 (define @t57 () (_ tptp.some @t25)) % 0.39/0.56 (define @t58 () (= @t2 @t25)) % 0.39/0.56 (define @t59 () (not @t58)) % 0.39/0.56 (define @t60 () (not @t56)) % 0.39/0.56 (define @t61 () (and @t46 @t58 @t56)) % 0.39/0.56 (define @t62 () (@const 0 tptp.nat)) % 0.39/0.56 (define @t63 () (_ @t25 @t62)) % 0.39/0.56 (define @t64 () (tptp.diffprop tptp.x tptp.y @t62)) % 0.39/0.56 (define @t65 () (= @t64 @t63)) % 0.39/0.56 (define @t66 () (not @t65)) % 0.39/0.56 (define @t67 () (forall @t4 (= @t26 @t24))) % 0.39/0.56 (define @t68 () (= @t63 @t64)) % 0.39/0.56 (assume @p1 (_ tptp.some @t5)) % 0.39/0.56 (assume @p2 @t11) % 0.39/0.56 (assume @p3 @t20) % 0.39/0.56 (assume @p4 @t23) % 0.39/0.56 (assume @p5 true) % 0.39/0.56 (step @p6 :rule eq-symm :args (@t24 @t26)) % 0.39/0.56 (step @p7 :rule cong :premises (@p6) :args ((forall @t4 (= @t24 @t26)))) % 0.39/0.56 (step @p8 :rule refl :args (@t26)) % 0.39/0.56 (step @p9 :rule refl :args (@t24)) % 0.39/0.56 (step @p10 :rule refl :args (@t3)) % 0.39/0.56 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t3 @t24))) % 0.39/0.56 (step @p12 :rule symm :premises (@p11)) % 0.39/0.56 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.39/0.56 (step @p14 :rule cong :premises (@p13 @p8) :args (@t27)) % 0.39/0.56 (step @p15 :rule cong :premises (@p14) :args ((forall @t4 @t27))) % 0.39/0.56 (step @p16 :rule trans :premises (@p15 @p7)) % 0.39/0.56 (step @p17 :rule eq-symm :args (@t26 @t3)) % 0.39/0.56 (step @p18 :rule beta-reduce :args ((= @t28 @t3))) % 0.39/0.56 (step @p19 :rule refl :args (@t26)) % 0.39/0.56 (step @p20 :rule cong :premises (@p19 @p18) :args (@t29)) % 0.39/0.56 (step @p21 :rule trans :premises (@p20 @p17)) % 0.39/0.56 (step @p22 :rule cong :premises (@p21) :args (@t30)) % 0.39/0.56 (step @p23 :rule trans :premises (@p22 @p16)) % 0.39/0.56 (step @p24 :rule quant-unused-vars :args ((= (forall @t4 true) true))) % 0.39/0.56 (step @p25 :rule eq-refl :args (@t28)) % 0.39/0.56 (step @p26 :rule cong :premises (@p25) :args ((forall @t4 (= @t28 @t28)))) % 0.39/0.56 (step @p27 :rule trans :premises (@p26 @p24)) % 0.39/0.56 (step @p28 :rule refl :args (@t28)) % 0.39/0.56 (step @p29 :rule refl :args (@t1)) % 0.39/0.56 (step @p30 :rule skolem_intro :args (@t25)) % 0.39/0.56 (step @p31 :rule ho_cong :premises (@p30 @p29)) % 0.39/0.56 (step @p32 :rule cong :premises (@p31 @p28) :args (@t29)) % 0.39/0.56 (step @p33 :rule cong :premises (@p32) :args (@t30)) % 0.39/0.56 (step @p34 :rule trans :premises (@p33 @p27)) % 0.39/0.56 (step @p35 :rule true_elim :premises (@p34)) % 0.39/0.56 (step @p36 :rule eq_resolve :premises (@p35 @p23)) % 0.39/0.56 (step @p37 :rule refl :args ((tptp.moreis @t7 @t12))) % 0.39/0.56 (step @p38 :rule refl :args (@t31)) % 0.39/0.56 (step @p39 :rule refl :args (@t7)) % 0.39/0.56 (step @p40 :rule cong :premises (@p39 @p38) :args (@t32)) % 0.39/0.56 (step @p41 :rule trans :premises (@p40 @p37)) % 0.39/0.56 (step @p42 :rule refl :args (@t13)) % 0.39/0.56 (step @p43 :rule ho_cong :premises (@p42 @p38)) % 0.39/0.56 (step @p44 :rule cong :premises (@p43 @p41) :args ((= (_ @t13 @t31) @t32))) % 0.39/0.56 (step @p45 :rule symm :premises (@p44)) % 0.39/0.56 (step @p46 :rule refl :args (@t14)) % 0.39/0.56 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 0.39/0.56 (step @p48 :rule refl :args (@t12)) % 0.39/0.56 (step @p49 :rule cong :premises (@p48 @p38) :args ((= @t12 @t31))) % 0.39/0.56 (step @p50 :rule symm :premises (@p49)) % 0.39/0.56 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.39/0.56 (step @p52 :rule ho_cong :premises (@p42 @p51)) % 0.39/0.56 (step @p53 :rule trans :premises (@p52 @p47)) % 0.39/0.56 (step @p54 :rule refl :args ((tptp.some @t18))) % 0.39/0.56 (step @p55 :rule refl :args (@t33)) % 0.39/0.56 (step @p56 :rule cong :premises (@p55) :args (@t34)) % 0.39/0.56 (step @p57 :rule cong :premises (@p56) :args (@t35)) % 0.39/0.56 (step @p58 :rule trans :premises (@p57 @p54)) % 0.39/0.56 (step @p59 :rule refl :args (tptp.some)) % 0.39/0.56 (step @p60 :rule ho_cong :premises (@p59 @p56)) % 0.39/0.56 (step @p61 :rule cong :premises (@p60 @p58) :args ((= (_ tptp.some @t34) @t35))) % 0.39/0.56 (step @p62 :rule symm :premises (@p61)) % 0.39/0.56 (step @p63 :rule refl :args (@t19)) % 0.39/0.56 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.39/0.56 (step @p65 :rule refl :args (@t16)) % 0.39/0.56 (step @p66 :rule cong :premises (@p65 @p55) :args ((= @t16 @t33))) % 0.39/0.56 (step @p67 :rule symm :premises (@p66)) % 0.39/0.56 (step @p68 :rule eq_resolve :premises (@p65 @p67)) % 0.39/0.56 (step @p69 :rule cong :premises (@p68) :args (@t18)) % 0.39/0.56 (step @p70 :rule ho_cong :premises (@p59 @p69)) % 0.39/0.56 (step @p71 :rule trans :premises (@p70 @p64)) % 0.39/0.56 (step @p72 :rule cong :premises (@p71) :args (@t36)) % 0.39/0.56 (step @p73 :rule nary_cong :premises (@p72 @p53) :args (@t37)) % 0.39/0.56 (step @p74 :rule cong :premises (@p73) :args ((forall @t10 @t37))) % 0.39/0.56 (step @p75 :rule bool-impl-elim :args (@t19 @t14)) % 0.39/0.56 (step @p76 :rule cong :premises (@p75) :args (@t20)) % 0.39/0.56 (step @p77 :rule trans :premises (@p76 @p74)) % 0.39/0.56 (step @p78 :rule eq_resolve :premises (@p3 @p77)) % 0.39/0.56 (step @p79 :rule refl :args (@t39)) % 0.39/0.56 (step @p80 :rule lambda-elim :args ((= @t40 @t2))) % 0.39/0.56 (step @p81 :rule cong :premises (@p80) :args (@t41)) % 0.39/0.56 (step @p82 :rule cong :premises (@p81) :args (@t42)) % 0.39/0.56 (step @p83 :rule nary_cong :premises (@p82 @p79) :args (@t43)) % 0.39/0.56 (step @p84 :rule refl :args (@t44)) % 0.39/0.56 (step @p85 :rule cong :premises (@p84 @p83) :args ((=> @t44 @t43))) % 0.39/0.56 (assume-push @p198 @t44) % 0.39/0.56 (step @p87 :rule instantiate :premises (@p78) :args ((@list tptp.y tptp.x))) % 0.39/0.56 (step-pop @p199 :rule scope :premises (@p87)) % 0.39/0.56 (step @p88 :rule process_scope :premises (@p199) :args (@t43)) % 0.39/0.56 (step @p90 :rule eq_resolve :premises (@p88 @p85)) % 0.39/0.56 (step @p91 :rule implies_elim :premises (@p90)) % 0.39/0.56 (step @p92 :rule chain_m_resolution :premises (@p91 @p78) :args (@t47 (@list false) (@list @t44))) % 0.39/0.56 (step @p93 :rule refl :args (@t48)) % 0.39/0.56 (step @p94 :rule refl :args (@t8)) % 0.39/0.56 (step @p95 :rule cong :premises (@p94 @p93) :args ((= @t8 @t48))) % 0.39/0.56 (step @p96 :rule symm :premises (@p95)) % 0.39/0.56 (step @p97 :rule eq_resolve :premises (@p94 @p96)) % 0.39/0.56 (step @p98 :rule refl :args (@t49)) % 0.39/0.56 (step @p99 :rule refl :args (@t9)) % 0.39/0.56 (step @p100 :rule cong :premises (@p99 @p98) :args ((= @t9 @t49))) % 0.39/0.56 (step @p101 :rule symm :premises (@p100)) % 0.39/0.56 (step @p102 :rule eq_resolve :premises (@p99 @p101)) % 0.39/0.56 (step @p103 :rule cong :premises (@p102) :args (@t50)) % 0.39/0.56 (step @p104 :rule nary_cong :premises (@p103 @p97) :args (@t51)) % 0.39/0.56 (step @p105 :rule cong :premises (@p104) :args ((forall @t10 @t51))) % 0.39/0.56 (step @p106 :rule bool-impl-elim :args (@t9 @t8)) % 0.39/0.56 (step @p107 :rule cong :premises (@p106) :args (@t11)) % 0.39/0.56 (step @p108 :rule trans :premises (@p107 @p105)) % 0.39/0.56 (step @p109 :rule eq_resolve :premises (@p2 @p108)) % 0.39/0.56 (step @p110 :rule instantiate :premises (@p109) :args ((@list tptp.x @t38))) % 0.39/0.56 (step @p111 :rule refl :args ((tptp.lessis @t21 tptp.x))) % 0.39/0.56 (step @p112 :rule refl :args (tptp.x)) % 0.39/0.56 (step @p113 :rule refl :args (@t38)) % 0.39/0.56 (step @p114 :rule cong :premises (@p113 @p112) :args (@t52)) % 0.39/0.56 (step @p115 :rule trans :premises (@p114 @p111)) % 0.39/0.56 (step @p116 :rule refl :args (tptp.lessis)) % 0.39/0.56 (step @p117 :rule ho_cong :premises (@p116 @p113)) % 0.39/0.56 (step @p118 :rule ho_cong :premises (@p117 @p112)) % 0.39/0.56 (step @p119 :rule cong :premises (@p118 @p115) :args ((= (_ (_ tptp.lessis @t38) tptp.x) @t52))) % 0.39/0.56 (step @p120 :rule symm :premises (@p119)) % 0.39/0.56 (step @p121 :rule refl :args (@t22)) % 0.39/0.56 (step @p122 :rule eq_resolve :premises (@p121 @p120)) % 0.39/0.56 (step @p123 :rule refl :args (tptp.x)) % 0.39/0.56 (step @p124 :rule refl :args (@t21)) % 0.39/0.56 (step @p125 :rule cong :premises (@p124 @p113) :args ((= @t21 @t38))) % 0.39/0.56 (step @p126 :rule symm :premises (@p125)) % 0.39/0.56 (step @p127 :rule eq_resolve :premises (@p124 @p126)) % 0.39/0.56 (step @p128 :rule refl :args (tptp.lessis)) % 0.39/0.56 (step @p129 :rule ho_cong :premises (@p128 @p127)) % 0.39/0.56 (step @p130 :rule ho_cong :premises (@p129 @p123)) % 0.39/0.56 (step @p131 :rule trans :premises (@p130 @p122)) % 0.39/0.56 (step @p132 :rule cong :premises (@p131) :args (@t23)) % 0.39/0.56 (step @p133 :rule eq_resolve :premises (@p4 @p132)) % 0.39/0.56 (step @p134 :rule cnf_or_pos :args (@t54)) % 0.39/0.56 (step @p135 :rule reordering :premises (@p134) :args ((or @t52 @t53 (not @t54)))) % 0.39/0.56 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p110) :args (@t53 @t55 (@list @t52 @t54))) % 0.39/0.56 (step @p137 :rule cnf_or_pos :args (@t47)) % 0.39/0.56 (step @p138 :rule reordering :premises (@p137) :args ((or @t39 @t46 (not @t47)))) % 0.39/0.56 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p92) :args (@t46 @t55 (@list @t39 @t47))) % 0.39/0.56 (step @p140 :rule refl :args (@t56)) % 0.39/0.56 (step @p141 :rule refl :args (@t57)) % 0.39/0.56 (step @p142 :rule cong :premises (@p141 @p140) :args ((= @t57 @t56))) % 0.39/0.56 (step @p143 :rule symm :premises (@p142)) % 0.39/0.56 (step @p144 :rule eq_resolve :premises (@p141 @p143)) % 0.39/0.56 (step @p145 :rule eq-refl :args (@t5)) % 0.39/0.56 (step @p146 :rule refl :args (@t5)) % 0.39/0.56 (step @p147 :rule cong :premises (@p146 @p30) :args ((= @t5 @t25))) % 0.39/0.56 (step @p148 :rule trans :premises (@p147 @p145)) % 0.39/0.56 (step @p149 :rule true_elim :premises (@p148)) % 0.39/0.56 (step @p150 :rule refl :args (tptp.some)) % 0.39/0.56 (step @p151 :rule ho_cong :premises (@p150 @p149)) % 0.39/0.56 (step @p152 :rule trans :premises (@p151 @p144)) % 0.39/0.56 (step @p153 :rule eq_resolve :premises (@p1 @p152)) % 0.39/0.56 (step @p154 :rule refl :args (@t59)) % 0.39/0.56 (step @p155 :rule bool-double-not-elim :args (@t45)) % 0.39/0.56 (step @p156 :rule refl :args (@t60)) % 0.39/0.56 (step @p157 :rule nary_cong :premises (@p156 @p155 @p154) :args ((or @t60 (not @t46) @t59))) % 0.39/0.56 (assume-push @p200 @t46) % 0.39/0.56 (assume-push @p201 @t58) % 0.39/0.56 (assume-push @p202 @t56) % 0.39/0.56 (step @p161 :rule evaluate :args ((= true false))) % 0.39/0.56 (step @p162 :rule false_intro :premises (@p139)) % 0.39/0.56 (step @p163 :rule symm :premises (@p201)) % 0.39/0.56 (step @p164 :rule cong :premises (@p163) :args (@t56)) % 0.39/0.56 (step @p165 :rule true_intro :premises (@p153)) % 0.39/0.56 (step @p166 :rule symm :premises (@p165)) % 0.39/0.56 (step @p167 :rule trans :premises (@p166 @p164 @p162)) % 0.39/0.56 (step @p168 false :rule eq_resolve :premises (@p167 @p161)) % 0.39/0.56 (step-pop @p203 :rule scope :premises (@p168)) % 0.39/0.56 (step-pop @p204 :rule scope :premises (@p203)) % 0.39/0.56 (step-pop @p205 :rule scope :premises (@p204)) % 0.39/0.56 (step @p169 :rule process_scope :premises (@p205) :args (false)) % 0.39/0.56 (assume-push @p206 @t56) % 0.39/0.56 (assume-push @p207 @t46) % 0.39/0.56 (assume-push @p208 @t58) % 0.39/0.56 (step @p176 :rule and_intro :premises (@p139 @p208 @p153)) % 0.39/0.56 (step-pop @p209 :rule scope :premises (@p176)) % 0.39/0.56 (step-pop @p210 :rule scope :premises (@p209)) % 0.39/0.56 (step-pop @p211 :rule scope :premises (@p210)) % 0.39/0.56 (step @p177 :rule process_scope :premises (@p211) :args (@t61)) % 0.39/0.56 (step @p181 :rule implies_elim :premises (@p177)) % 0.39/0.56 (step @p182 :rule resolution :premises (@p181 @p169) :args (true @t61)) % 0.39/0.56 (step @p183 :rule not_and :premises (@p182)) % 0.39/0.56 (step @p184 :rule eq_resolve :premises (@p183 @p157)) % 0.39/0.56 (step @p185 :rule chain_m_resolution :premises (@p184 @p153 @p139) :args (@t59 (@list false true) (@list @t56 @t45))) % 0.39/0.56 ; WARNING: add trust step for TRUST % 0.39/0.56 ; trust TRUST THEORY_LEMMA % 0.39/0.56 (step @p186 :rule trust :premises () :args ((or @t58 @t66))) % 0.39/0.56 (step @p187 :rule chain_m_resolution :premises (@p186 @p185) :args (@t66 (@list true) (@list @t58))) % 0.39/0.56 (step @p188 :rule eq-symm :args (@t63 @t64)) % 0.39/0.56 (step @p189 :rule refl :args (@t67)) % 0.39/0.56 (step @p190 :rule cong :premises (@p189 @p188) :args ((=> @t67 @t68))) % 0.39/0.56 (assume-push @p212 @t67) % 0.39/0.56 (step @p192 :rule instantiate :premises (@p36) :args ((@list @t62))) % 0.39/0.56 (step-pop @p213 :rule scope :premises (@p192)) % 0.39/0.56 (step @p193 :rule process_scope :premises (@p213) :args (@t68)) % 0.39/0.56 (step @p195 :rule eq_resolve :premises (@p193 @p190)) % 0.39/0.56 (step @p196 :rule implies_elim :premises (@p195)) % 0.39/0.56 (step @p197 false :rule chain_m_resolution :premises (@p196 @p187 @p36) :args (false @t55 (@list @t65 @t67))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------