%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM765^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:40:37 AM UTC 2026 % Result : Theorem 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM765^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n025.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 12:16:16 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----Proving TH0 % 0.39/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort tptp.frac 0) % 0.39/0.58 (declare-const tptp.z tptp.frac) % 0.39/0.58 (declare-const tptp.u tptp.frac) % 0.39/0.58 (declare-const tptp.moref (-> tptp.frac tptp.frac Bool)) % 0.39/0.58 (declare-const tptp.eq (-> tptp.frac tptp.frac Bool)) % 0.39/0.58 (declare-const tptp.x tptp.frac) % 0.39/0.58 (declare-const tptp.pf (-> tptp.frac tptp.frac tptp.frac)) % 0.39/0.58 (declare-const tptp.y tptp.frac) % 0.39/0.58 (define @t1 () (_ (_ tptp.eq tptp.x) tptp.y)) % 0.39/0.58 (define @t2 () (_ (_ tptp.moref tptp.x) tptp.y)) % 0.39/0.58 (define @t3 () (not @t2)) % 0.39/0.58 (define @t4 () (=> @t3 @t1)) % 0.39/0.58 (define @t5 () (_ (_ tptp.eq tptp.z) tptp.u)) % 0.39/0.58 (define @t6 () (_ (_ tptp.moref tptp.z) tptp.u)) % 0.39/0.58 (define @t7 () (not @t6)) % 0.39/0.58 (define @t8 () (=> @t7 @t5)) % 0.39/0.58 (define @t9 () (@var "Xa" Bool)) % 0.39/0.58 (define @t10 () (@var "Xu" tptp.frac)) % 0.39/0.58 (define @t11 () (@var "Xy" tptp.frac)) % 0.39/0.58 (define @t12 () (_ (_ tptp.pf @t11) @t10)) % 0.39/0.58 (define @t13 () (@var "Xz" tptp.frac)) % 0.39/0.58 (define @t14 () (@var "Xx" tptp.frac)) % 0.39/0.58 (define @t15 () (_ (_ tptp.pf @t14) @t13)) % 0.39/0.58 (define @t16 () (_ (_ tptp.eq @t15) @t12)) % 0.39/0.58 (define @t17 () (_ (_ tptp.eq @t13) @t10)) % 0.39/0.58 (define @t18 () (=> @t17 @t16)) % 0.39/0.58 (define @t19 () (_ (_ tptp.eq @t14) @t11)) % 0.39/0.58 (define @t20 () (@list @t14 @t11 @t13 @t10)) % 0.39/0.58 (define @t21 () (forall @t20 (=> @t19 @t18))) % 0.39/0.58 (define @t22 () (_ (_ tptp.moref @t15) @t12)) % 0.39/0.58 (define @t23 () (_ (_ tptp.moref @t13) @t10)) % 0.39/0.58 (define @t24 () (not @t23)) % 0.39/0.58 (define @t25 () (=> @t24 @t17)) % 0.39/0.58 (define @t26 () (=> @t25 @t22)) % 0.39/0.58 (define @t27 () (_ (_ tptp.moref @t14) @t11)) % 0.39/0.58 (define @t28 () (forall @t20 (=> @t27 @t26))) % 0.39/0.58 (define @t29 () (=> @t23 @t22)) % 0.39/0.58 (define @t30 () (not @t27)) % 0.39/0.58 (define @t31 () (=> @t30 @t19)) % 0.39/0.58 (define @t32 () (forall @t20 (=> @t31 @t29))) % 0.39/0.58 (define @t33 () (_ (_ tptp.pf tptp.y) tptp.u)) % 0.39/0.58 (define @t34 () (_ (_ tptp.pf tptp.x) tptp.z)) % 0.39/0.58 (define @t35 () (_ (_ tptp.eq @t34) @t33)) % 0.39/0.58 (define @t36 () (_ (_ tptp.moref @t34) @t33)) % 0.39/0.58 (define @t37 () (not @t36)) % 0.39/0.58 (define @t38 () (=> @t37 @t35)) % 0.39/0.58 (define @t39 () (not @t38)) % 0.39/0.58 (define @t40 () (tptp.pf @t11 @t10)) % 0.39/0.58 (define @t41 () (tptp.pf @t14 @t13)) % 0.39/0.58 (define @t42 () (tptp.eq @t41 @t40)) % 0.39/0.58 (define @t43 () (tptp.eq @t13 @t10)) % 0.39/0.58 (define @t44 () (not @t17)) % 0.39/0.58 (define @t45 () (tptp.eq @t14 @t11)) % 0.39/0.58 (define @t46 () (not @t19)) % 0.39/0.58 (define @t47 () (or @t46 @t44 @t16)) % 0.39/0.58 (define @t48 () (tptp.moref @t41 @t40)) % 0.39/0.58 (define @t49 () (tptp.moref @t13 @t10)) % 0.39/0.58 (define @t50 () (tptp.moref @t14 @t11)) % 0.39/0.58 (define @t51 () (and @t30 @t46)) % 0.39/0.58 (define @t52 () (or @t51 @t24 @t22)) % 0.39/0.58 (define @t53 () (@list tptp.x tptp.y tptp.z tptp.u)) % 0.39/0.58 (define @t54 () (and @t24 @t44)) % 0.39/0.58 (define @t55 () (or @t30 @t54 @t22)) % 0.39/0.58 (define @t56 () (tptp.eq tptp.z tptp.u)) % 0.39/0.58 (define @t57 () (not @t56)) % 0.39/0.58 (define @t58 () (tptp.moref tptp.z tptp.u)) % 0.39/0.58 (define @t59 () (not @t58)) % 0.39/0.58 (define @t60 () (and @t59 @t57)) % 0.39/0.58 (define @t61 () (not @t60)) % 0.39/0.58 (define @t62 () (tptp.pf tptp.y tptp.u)) % 0.39/0.58 (define @t63 () (tptp.pf tptp.x tptp.z)) % 0.39/0.58 (define @t64 () (tptp.eq @t63 @t62)) % 0.39/0.58 (define @t65 () (tptp.moref @t63 @t62)) % 0.39/0.58 (define @t66 () (tptp.moref tptp.x tptp.y)) % 0.39/0.58 (define @t67 () (not @t66)) % 0.39/0.58 (define @t68 () (or @t67 @t60 @t65)) % 0.39/0.58 (define @t69 () (@list true true false)) % 0.39/0.58 (define @t70 () (tptp.eq tptp.x tptp.y)) % 0.39/0.58 (define @t71 () (@list true)) % 0.39/0.58 (define @t72 () (not @t70)) % 0.39/0.58 (define @t73 () (and @t67 @t72)) % 0.39/0.58 (define @t74 () (not @t73)) % 0.39/0.58 (define @t75 () (or @t73 @t59 @t65)) % 0.39/0.58 (define @t76 () (or @t72 @t57 @t64)) % 0.39/0.58 (define @t77 () (not @t76)) % 0.39/0.58 (define @t78 () (forall @t20 (or (not @t45) (not @t43) @t42))) % 0.39/0.58 (assume @p1 @t4) % 0.39/0.58 (assume @p2 @t8) % 0.39/0.58 (assume @p3 (forall (@list @t9) (=> (not (not @t9)) @t9))) % 0.39/0.58 (assume @p4 @t21) % 0.39/0.58 (assume @p5 @t28) % 0.39/0.58 (assume @p6 @t32) % 0.39/0.58 (assume @p7 @t39) % 0.39/0.58 (assume @p8 true) % 0.39/0.58 (step @p9 :rule refl :args ((tptp.eq @t15 @t12))) % 0.39/0.58 (step @p10 :rule refl :args (@t40)) % 0.39/0.58 (step @p11 :rule refl :args (@t41)) % 0.39/0.58 (step @p12 :rule cong :premises (@p11 @p10) :args (@t42)) % 0.39/0.58 (step @p13 :rule trans :premises (@p12 @p9)) % 0.39/0.58 (step @p14 :rule refl :args (tptp.eq)) % 0.39/0.58 (step @p15 :rule ho_cong :premises (@p14 @p11)) % 0.39/0.58 (step @p16 :rule ho_cong :premises (@p15 @p10)) % 0.39/0.58 (step @p17 :rule cong :premises (@p16 @p13) :args ((= (_ (_ tptp.eq @t41) @t40) @t42))) % 0.39/0.58 (step @p18 :rule symm :premises (@p17)) % 0.39/0.58 (step @p19 :rule refl :args (@t16)) % 0.39/0.58 (step @p20 :rule eq_resolve :premises (@p19 @p18)) % 0.39/0.58 (step @p21 :rule refl :args (@t12)) % 0.39/0.58 (step @p22 :rule cong :premises (@p21 @p10) :args ((= @t12 @t40))) % 0.39/0.58 (step @p23 :rule symm :premises (@p22)) % 0.39/0.58 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.39/0.58 (step @p25 :rule refl :args (@t15)) % 0.39/0.58 (step @p26 :rule cong :premises (@p25 @p11) :args ((= @t15 @t41))) % 0.39/0.58 (step @p27 :rule symm :premises (@p26)) % 0.39/0.58 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.39/0.58 (step @p29 :rule ho_cong :premises (@p14 @p28)) % 0.39/0.58 (step @p30 :rule ho_cong :premises (@p29 @p24)) % 0.39/0.58 (step @p31 :rule trans :premises (@p30 @p20)) % 0.39/0.58 (step @p32 :rule refl :args (@t43)) % 0.39/0.58 (step @p33 :rule refl :args (@t17)) % 0.39/0.58 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t17 @t43))) % 0.39/0.58 (step @p35 :rule symm :premises (@p34)) % 0.39/0.58 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 0.39/0.58 (step @p37 :rule cong :premises (@p36) :args (@t44)) % 0.39/0.58 (step @p38 :rule refl :args (@t45)) % 0.39/0.58 (step @p39 :rule refl :args (@t19)) % 0.39/0.58 (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t19 @t45))) % 0.39/0.58 (step @p41 :rule symm :premises (@p40)) % 0.39/0.58 (step @p42 :rule eq_resolve :premises (@p39 @p41)) % 0.39/0.58 (step @p43 :rule cong :premises (@p42) :args (@t46)) % 0.39/0.58 (step @p44 :rule nary_cong :premises (@p43 @p37 @p31) :args (@t47)) % 0.39/0.58 (step @p45 :rule cong :premises (@p44) :args ((forall @t20 @t47))) % 0.39/0.58 (step @p46 :rule aci_norm :args ((= (or @t46 (or @t44 @t16)) @t47))) % 0.39/0.58 (step @p47 :rule bool-impl-elim :args (@t17 @t16)) % 0.39/0.58 (step @p48 :rule refl :args (@t46)) % 0.39/0.58 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t46 @t18))) % 0.39/0.58 (step @p50 :rule trans :premises (@p49 @p46)) % 0.39/0.58 (step @p51 :rule bool-impl-elim :args (@t19 @t18)) % 0.39/0.58 (step @p52 :rule trans :premises (@p51 @p50)) % 0.39/0.58 (step @p53 :rule cong :premises (@p52) :args (@t21)) % 0.39/0.58 (step @p54 :rule trans :premises (@p53 @p45)) % 0.39/0.58 (step @p55 :rule eq_resolve :premises (@p4 @p54)) % 0.39/0.58 (step @p56 :rule refl :args ((tptp.moref @t15 @t12))) % 0.39/0.58 (step @p57 :rule cong :premises (@p11 @p10) :args (@t48)) % 0.39/0.58 (step @p58 :rule trans :premises (@p57 @p56)) % 0.39/0.58 (step @p59 :rule refl :args (tptp.moref)) % 0.39/0.58 (step @p60 :rule ho_cong :premises (@p59 @p11)) % 0.39/0.58 (step @p61 :rule ho_cong :premises (@p60 @p10)) % 0.39/0.58 (step @p62 :rule cong :premises (@p61 @p58) :args ((= (_ (_ tptp.moref @t41) @t40) @t48))) % 0.39/0.58 (step @p63 :rule symm :premises (@p62)) % 0.39/0.58 (step @p64 :rule refl :args (@t22)) % 0.39/0.58 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.39/0.58 (step @p66 :rule ho_cong :premises (@p59 @p28)) % 0.39/0.58 (step @p67 :rule ho_cong :premises (@p66 @p24)) % 0.39/0.58 (step @p68 :rule trans :premises (@p67 @p65)) % 0.39/0.58 (step @p69 :rule refl :args (@t49)) % 0.39/0.58 (step @p70 :rule refl :args (@t23)) % 0.39/0.58 (step @p71 :rule cong :premises (@p70 @p69) :args ((= @t23 @t49))) % 0.39/0.58 (step @p72 :rule symm :premises (@p71)) % 0.39/0.58 (step @p73 :rule eq_resolve :premises (@p70 @p72)) % 0.39/0.58 (step @p74 :rule cong :premises (@p73) :args (@t24)) % 0.39/0.58 (step @p75 :rule refl :args (@t50)) % 0.39/0.58 (step @p76 :rule refl :args (@t27)) % 0.39/0.58 (step @p77 :rule cong :premises (@p76 @p75) :args ((= @t27 @t50))) % 0.39/0.58 (step @p78 :rule symm :premises (@p77)) % 0.39/0.58 (step @p79 :rule eq_resolve :premises (@p76 @p78)) % 0.39/0.58 (step @p80 :rule cong :premises (@p79) :args (@t30)) % 0.39/0.58 (step @p81 :rule nary_cong :premises (@p80 @p43) :args (@t51)) % 0.39/0.58 (step @p82 :rule nary_cong :premises (@p81 @p74 @p68) :args (@t52)) % 0.39/0.58 (step @p83 :rule cong :premises (@p82) :args ((forall @t20 @t52))) % 0.39/0.58 (step @p84 :rule aci_norm :args ((= (or @t51 (or @t24 @t22)) @t52))) % 0.39/0.58 (step @p85 :rule bool-impl-elim :args (@t23 @t22)) % 0.39/0.58 (step @p86 :rule bool-implies-de-morgan :args (@t30 @t19)) % 0.39/0.58 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or (not @t31) @t29))) % 0.39/0.58 (step @p88 :rule trans :premises (@p87 @p84)) % 0.39/0.58 (step @p89 :rule bool-impl-elim :args (@t31 @t29)) % 0.39/0.58 (step @p90 :rule trans :premises (@p89 @p88)) % 0.39/0.58 (step @p91 :rule cong :premises (@p90) :args (@t32)) % 0.39/0.58 (step @p92 :rule trans :premises (@p91 @p83)) % 0.39/0.58 (step @p93 :rule eq_resolve :premises (@p6 @p92)) % 0.39/0.58 (step @p94 :rule instantiate :premises (@p93) :args (@t53)) % 0.39/0.58 (step @p95 :rule nary_cong :premises (@p74 @p37) :args (@t54)) % 0.39/0.58 (step @p96 :rule nary_cong :premises (@p80 @p95 @p68) :args (@t55)) % 0.39/0.58 (step @p97 :rule cong :premises (@p96) :args ((forall @t20 @t55))) % 0.39/0.58 (step @p98 :rule aci_norm :args ((= (or @t30 (or @t54 @t22)) @t55))) % 0.39/0.58 (step @p99 :rule bool-implies-de-morgan :args (@t24 @t17)) % 0.39/0.58 (step @p100 :rule nary_cong :premises (@p99 @p64) :args ((or (not @t25) @t22))) % 0.39/0.58 (step @p101 :rule bool-impl-elim :args (@t25 @t22)) % 0.39/0.58 (step @p102 :rule trans :premises (@p101 @p100)) % 0.39/0.58 (step @p103 :rule refl :args (@t30)) % 0.39/0.58 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or @t30 @t26))) % 0.39/0.58 (step @p105 :rule trans :premises (@p104 @p98)) % 0.39/0.58 (step @p106 :rule bool-impl-elim :args (@t27 @t26)) % 0.39/0.58 (step @p107 :rule trans :premises (@p106 @p105)) % 0.39/0.58 (step @p108 :rule cong :premises (@p107) :args (@t28)) % 0.39/0.58 (step @p109 :rule trans :premises (@p108 @p97)) % 0.39/0.58 (step @p110 :rule eq_resolve :premises (@p5 @p109)) % 0.39/0.58 (step @p111 :rule instantiate :premises (@p110) :args (@t53)) % 0.39/0.58 (step @p112 :rule cnf_and_pos :args (@t60 0)) % 0.39/0.58 (step @p113 :rule reordering :premises (@p112) :args ((or @t59 @t61))) % 0.39/0.58 (step @p114 :rule cnf_and_pos :args (@t60 1)) % 0.39/0.58 (step @p115 :rule reordering :premises (@p114) :args ((or @t57 @t61))) % 0.39/0.58 (step @p116 :rule refl :args (@t56)) % 0.39/0.58 (step @p117 :rule bool-double-not-elim :args (@t58)) % 0.39/0.58 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or (not @t59) @t56))) % 0.39/0.58 (step @p119 :rule refl :args (@t56)) % 0.39/0.58 (step @p120 :rule refl :args (@t5)) % 0.39/0.58 (step @p121 :rule cong :premises (@p120 @p119) :args ((= @t5 @t56))) % 0.39/0.58 (step @p122 :rule symm :premises (@p121)) % 0.39/0.58 (step @p123 :rule eq_resolve :premises (@p120 @p122)) % 0.39/0.58 (step @p124 :rule refl :args (@t58)) % 0.39/0.58 (step @p125 :rule refl :args (@t6)) % 0.39/0.58 (step @p126 :rule cong :premises (@p125 @p124) :args ((= @t6 @t58))) % 0.39/0.58 (step @p127 :rule symm :premises (@p126)) % 0.39/0.58 (step @p128 :rule eq_resolve :premises (@p125 @p127)) % 0.39/0.58 (step @p129 :rule cong :premises (@p128) :args (@t7)) % 0.39/0.58 (step @p130 :rule cong :premises (@p129 @p123) :args (@t8)) % 0.39/0.58 (step @p131 :rule eq_resolve :premises (@p2 @p130)) % 0.39/0.58 (step @p132 :rule implies_elim :premises (@p131)) % 0.39/0.58 (step @p133 :rule eq_resolve :premises (@p132 @p118)) % 0.39/0.58 (step @p134 :rule reordering :premises (@p133) :args ((or @t56 @t58))) % 0.39/0.58 (step @p135 :rule chain_m_resolution :premises (@p134 @p115 @p113) :args (@t61 (@list true true) (@list @t56 @t58))) % 0.39/0.58 (step @p136 :rule refl :args ((tptp.eq @t34 @t33))) % 0.39/0.58 (step @p137 :rule refl :args (@t62)) % 0.39/0.58 (step @p138 :rule refl :args (@t63)) % 0.39/0.58 (step @p139 :rule cong :premises (@p138 @p137) :args (@t64)) % 0.39/0.58 (step @p140 :rule trans :premises (@p139 @p136)) % 0.39/0.58 (step @p141 :rule ho_cong :premises (@p14 @p138)) % 0.39/0.58 (step @p142 :rule ho_cong :premises (@p141 @p137)) % 0.39/0.58 (step @p143 :rule cong :premises (@p142 @p140) :args ((= (_ (_ tptp.eq @t63) @t62) @t64))) % 0.39/0.58 (step @p144 :rule symm :premises (@p143)) % 0.39/0.58 (step @p145 :rule refl :args (@t35)) % 0.39/0.58 (step @p146 :rule eq_resolve :premises (@p145 @p144)) % 0.39/0.58 (step @p147 :rule refl :args (@t33)) % 0.39/0.58 (step @p148 :rule cong :premises (@p147 @p137) :args ((= @t33 @t62))) % 0.39/0.58 (step @p149 :rule symm :premises (@p148)) % 0.39/0.58 (step @p150 :rule eq_resolve :premises (@p147 @p149)) % 0.39/0.58 (step @p151 :rule refl :args (@t34)) % 0.39/0.58 (step @p152 :rule cong :premises (@p151 @p138) :args ((= @t34 @t63))) % 0.39/0.58 (step @p153 :rule symm :premises (@p152)) % 0.39/0.58 (step @p154 :rule eq_resolve :premises (@p151 @p153)) % 0.39/0.58 (step @p155 :rule refl :args (tptp.eq)) % 0.39/0.58 (step @p156 :rule ho_cong :premises (@p155 @p154)) % 0.39/0.58 (step @p157 :rule ho_cong :premises (@p156 @p150)) % 0.39/0.58 (step @p158 :rule trans :premises (@p157 @p146)) % 0.39/0.58 (step @p159 :rule refl :args ((tptp.moref @t34 @t33))) % 0.39/0.58 (step @p160 :rule cong :premises (@p138 @p137) :args (@t65)) % 0.39/0.58 (step @p161 :rule trans :premises (@p160 @p159)) % 0.39/0.58 (step @p162 :rule ho_cong :premises (@p59 @p138)) % 0.39/0.58 (step @p163 :rule ho_cong :premises (@p162 @p137)) % 0.39/0.58 (step @p164 :rule cong :premises (@p163 @p161) :args ((= (_ (_ tptp.moref @t63) @t62) @t65))) % 0.39/0.58 (step @p165 :rule symm :premises (@p164)) % 0.39/0.58 (step @p166 :rule refl :args (@t36)) % 0.39/0.58 (step @p167 :rule eq_resolve :premises (@p166 @p165)) % 0.39/0.58 (step @p168 :rule refl :args (tptp.moref)) % 0.39/0.58 (step @p169 :rule ho_cong :premises (@p168 @p154)) % 0.39/0.58 (step @p170 :rule ho_cong :premises (@p169 @p150)) % 0.39/0.58 (step @p171 :rule trans :premises (@p170 @p167)) % 0.39/0.58 (step @p172 :rule cong :premises (@p171) :args (@t37)) % 0.39/0.58 (step @p173 :rule cong :premises (@p172 @p158) :args (@t38)) % 0.39/0.58 (step @p174 :rule cong :premises (@p173) :args (@t39)) % 0.39/0.58 (step @p175 :rule eq_resolve :premises (@p7 @p174)) % 0.39/0.58 (step @p176 :rule not_implies_elim1 :premises (@p175)) % 0.39/0.58 (step @p177 :rule cnf_or_pos :args (@t68)) % 0.39/0.58 (step @p178 :rule reordering :premises (@p177) :args ((or @t67 @t65 @t60 (not @t68)))) % 0.39/0.58 (step @p179 :rule chain_m_resolution :premises (@p178 @p176 @p135 @p111) :args (@t67 @t69 (@list @t65 @t60 @t68))) % 0.39/0.58 (step @p180 :rule refl :args (@t70)) % 0.39/0.58 (step @p181 :rule bool-double-not-elim :args (@t66)) % 0.39/0.58 (step @p182 :rule nary_cong :premises (@p181 @p180) :args ((or (not @t67) @t70))) % 0.39/0.58 (step @p183 :rule refl :args (@t70)) % 0.39/0.58 (step @p184 :rule refl :args (@t1)) % 0.39/0.58 (step @p185 :rule cong :premises (@p184 @p183) :args ((= @t1 @t70))) % 0.39/0.58 (step @p186 :rule symm :premises (@p185)) % 0.39/0.58 (step @p187 :rule eq_resolve :premises (@p184 @p186)) % 0.39/0.58 (step @p188 :rule refl :args (@t66)) % 0.39/0.58 (step @p189 :rule refl :args (@t2)) % 0.39/0.58 (step @p190 :rule cong :premises (@p189 @p188) :args ((= @t2 @t66))) % 0.39/0.58 (step @p191 :rule symm :premises (@p190)) % 0.39/0.58 (step @p192 :rule eq_resolve :premises (@p189 @p191)) % 0.39/0.58 (step @p193 :rule cong :premises (@p192) :args (@t3)) % 0.39/0.58 (step @p194 :rule cong :premises (@p193 @p187) :args (@t4)) % 0.39/0.58 (step @p195 :rule eq_resolve :premises (@p1 @p194)) % 0.39/0.58 (step @p196 :rule implies_elim :premises (@p195)) % 0.39/0.58 (step @p197 :rule eq_resolve :premises (@p196 @p182)) % 0.39/0.58 (step @p198 :rule reordering :premises (@p197) :args ((or @t70 @t66))) % 0.39/0.58 (step @p199 :rule chain_m_resolution :premises (@p198 @p179) :args (@t70 @t71 (@list @t66))) % 0.39/0.58 (step @p200 :rule cnf_and_pos :args (@t73 1)) % 0.39/0.58 (step @p201 :rule reordering :premises (@p200) :args ((or @t72 @t74))) % 0.39/0.58 (step @p202 :rule chain_m_resolution :premises (@p201 @p199) :args (@t74 (@list false) (@list @t70))) % 0.39/0.58 (step @p203 :rule cnf_or_pos :args (@t75)) % 0.39/0.58 (step @p204 :rule reordering :premises (@p203) :args ((or @t59 @t65 @t73 (not @t75)))) % 0.39/0.58 (step @p205 :rule chain_m_resolution :premises (@p204 @p176 @p202 @p94) :args (@t59 @t69 (@list @t65 @t73 @t75))) % 0.39/0.58 (step @p206 :rule chain_m_resolution :premises (@p134 @p205) :args (@t56 @t71 (@list @t58))) % 0.39/0.58 (step @p207 :rule not_implies_elim2 :premises (@p175)) % 0.39/0.58 (step @p208 :rule cnf_or_pos :args (@t76)) % 0.39/0.58 (step @p209 :rule reordering :premises (@p208) :args ((or @t64 @t72 @t57 @t77))) % 0.39/0.58 (step @p210 :rule chain_m_resolution :premises (@p209 @p207 @p199 @p206) :args (@t77 (@list true false false) (@list @t64 @t70 @t56))) % 0.39/0.58 (assume-push @p217 @t78) % 0.39/0.58 (step @p212 :rule instantiate :premises (@p55) :args (@t53)) % 0.39/0.58 (step-pop @p218 :rule scope :premises (@p212)) % 0.39/0.58 (step @p213 :rule process_scope :premises (@p218) :args (@t76)) % 0.39/0.58 (step @p215 :rule implies_elim :premises (@p213)) % 0.39/0.58 (step @p216 false :rule chain_m_resolution :premises (@p215 @p210 @p55) :args (false (@list true false) (@list @t76 @t78))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------