%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU647^2 : 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 08:52:34 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 : SEU647^2 : 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 : n011.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 17:44:05 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 $$unsorted 0) % 0.37/0.57 (declare-const tptp.setukpairinjL1 Bool) % 0.37/0.57 (declare-const tptp.emptyset $$unsorted) % 0.37/0.57 (declare-const tptp.setadjoinIL Bool) % 0.37/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (define @t1 () (@var "Xy" $$unsorted)) % 0.37/0.57 (define @t2 () (@var "Xx" $$unsorted)) % 0.37/0.57 (define @t3 () (_ tptp.setadjoin @t2)) % 0.37/0.57 (define @t4 () (_ @t3 @t1)) % 0.37/0.57 (define @t5 () (_ tptp.in @t2)) % 0.37/0.57 (define @t6 () (_ @t5 @t4)) % 0.37/0.57 (define @t7 () (forall (@list @t2 @t1) @t6)) % 0.37/0.57 (define @t8 () (= tptp.setadjoinIL @t7)) % 0.37/0.57 (define @t9 () (@var "Xz" $$unsorted)) % 0.37/0.57 (define @t10 () (= @t2 @t9)) % 0.37/0.57 (define @t11 () (_ (_ tptp.setadjoin @t1) tptp.emptyset)) % 0.37/0.57 (define @t12 () (_ @t3 @t11)) % 0.37/0.57 (define @t13 () (_ (_ tptp.setadjoin @t12) tptp.emptyset)) % 0.37/0.57 (define @t14 () (_ @t3 tptp.emptyset)) % 0.37/0.57 (define @t15 () (_ (_ tptp.setadjoin @t14) @t13)) % 0.37/0.57 (define @t16 () (_ tptp.setadjoin @t9)) % 0.37/0.57 (define @t17 () (_ @t16 tptp.emptyset)) % 0.37/0.57 (define @t18 () (_ (_ tptp.in @t17) @t15)) % 0.37/0.57 (define @t19 () (@list @t2 @t1 @t9)) % 0.37/0.57 (define @t20 () (forall @t19 (=> @t18 @t10))) % 0.37/0.57 (define @t21 () (= tptp.setukpairinjL1 @t20)) % 0.37/0.57 (define @t22 () (@var "Xu" $$unsorted)) % 0.37/0.57 (define @t23 () (_ (_ tptp.setadjoin @t22) tptp.emptyset)) % 0.37/0.57 (define @t24 () (_ @t16 @t23)) % 0.37/0.57 (define @t25 () (_ (_ tptp.setadjoin @t24) tptp.emptyset)) % 0.37/0.57 (define @t26 () (_ (_ tptp.setadjoin @t17) @t25)) % 0.37/0.57 (define @t27 () (= @t15 @t26)) % 0.37/0.57 (define @t28 () (@list @t2 @t1 @t9 @t22)) % 0.37/0.57 (define @t29 () (forall @t28 (=> @t27 @t10))) % 0.37/0.57 (define @t30 () (=> tptp.setukpairinjL1 @t29)) % 0.37/0.57 (define @t31 () (=> tptp.setadjoinIL @t30)) % 0.37/0.57 (define @t32 () (not @t31)) % 0.37/0.57 (define @t33 () (tptp.setadjoin @t22 tptp.emptyset)) % 0.37/0.57 (define @t34 () (tptp.setadjoin @t9 @t33)) % 0.37/0.57 (define @t35 () (tptp.setadjoin @t34 tptp.emptyset)) % 0.37/0.57 (define @t36 () (tptp.setadjoin @t9 tptp.emptyset)) % 0.37/0.57 (define @t37 () (tptp.setadjoin @t36 @t35)) % 0.37/0.57 (define @t38 () (tptp.setadjoin @t1 tptp.emptyset)) % 0.37/0.57 (define @t39 () (tptp.setadjoin @t2 @t38)) % 0.37/0.57 (define @t40 () (tptp.setadjoin @t39 tptp.emptyset)) % 0.37/0.57 (define @t41 () (tptp.setadjoin @t2 tptp.emptyset)) % 0.37/0.57 (define @t42 () (tptp.setadjoin @t41 @t40)) % 0.37/0.57 (define @t43 () (forall @t28 (or (not (= @t42 @t37)) @t10))) % 0.37/0.57 (define @t44 () (tptp.in @t36 @t42)) % 0.37/0.57 (define @t45 () (not @t18)) % 0.37/0.57 (define @t46 () (or @t45 @t10)) % 0.37/0.57 (define @t47 () (=> tptp.setukpairinjL1 @t43)) % 0.37/0.57 (define @t48 () (tptp.setadjoin @t2 @t1)) % 0.37/0.57 (define @t49 () (tptp.in @t2 @t48)) % 0.37/0.57 (define @t50 () (=> tptp.setadjoinIL @t47)) % 0.37/0.57 (define @t51 () (not @t27)) % 0.37/0.57 (define @t52 () (or @t51 @t10)) % 0.37/0.57 (define @t53 () (@quantifiers_skolemize @t43 0)) % 0.37/0.57 (define @t54 () (tptp.setadjoin (tptp.setadjoin @t53 (tptp.setadjoin (@quantifiers_skolemize @t43 1) tptp.emptyset)) tptp.emptyset)) % 0.37/0.57 (define @t55 () (tptp.setadjoin @t53 tptp.emptyset)) % 0.37/0.57 (define @t56 () (@quantifiers_skolemize @t43 3)) % 0.37/0.57 (define @t57 () (@quantifiers_skolemize @t43 2)) % 0.37/0.57 (define @t58 () (tptp.setadjoin (tptp.setadjoin @t57 tptp.emptyset) (tptp.setadjoin (tptp.setadjoin @t57 (tptp.setadjoin @t56 tptp.emptyset)) tptp.emptyset))) % 0.37/0.57 (define @t59 () (= (tptp.setadjoin @t55 @t54) @t58)) % 0.37/0.57 (define @t60 () (= @t53 @t57)) % 0.37/0.57 (define @t61 () (not @t59)) % 0.37/0.57 (define @t62 () (or @t61 @t60)) % 0.37/0.57 (define @t63 () (@list true)) % 0.37/0.57 (define @t64 () (@list @t62)) % 0.37/0.57 (define @t65 () (tptp.in @t55 @t58)) % 0.37/0.57 (define @t66 () (not @t65)) % 0.37/0.57 (define @t67 () (or @t66 @t60)) % 0.37/0.57 (define @t68 () (not @t67)) % 0.37/0.57 (define @t69 () (@list true false)) % 0.37/0.57 (define @t70 () (or @t66 (= @t57 @t53))) % 0.37/0.57 (define @t71 () (forall @t19 (or (not @t44) @t10))) % 0.37/0.57 (assume @p1 @t8) % 0.37/0.57 (assume @p2 @t21) % 0.37/0.57 (assume @p3 @t32) % 0.37/0.57 (assume @p4 true) % 0.37/0.57 (step @p5 :rule refl :args (@t43)) % 0.37/0.57 (step @p6 :rule refl :args (@t10)) % 0.37/0.57 (step @p7 :rule refl :args ((tptp.in @t17 @t15))) % 0.37/0.57 (step @p8 :rule refl :args ((tptp.setadjoin @t14 @t13))) % 0.37/0.57 (step @p9 :rule refl :args ((tptp.setadjoin @t12 tptp.emptyset))) % 0.37/0.57 (step @p10 :rule refl :args (tptp.emptyset)) % 0.37/0.57 (step @p11 :rule refl :args ((tptp.setadjoin @t2 @t11))) % 0.37/0.57 (step @p12 :rule refl :args (@t38)) % 0.37/0.57 (step @p13 :rule refl :args (@t2)) % 0.37/0.57 (step @p14 :rule cong :premises (@p13 @p12) :args (@t39)) % 0.37/0.57 (step @p15 :rule trans :premises (@p14 @p11)) % 0.37/0.57 (step @p16 :rule cong :premises (@p15 @p10) :args (@t40)) % 0.37/0.57 (step @p17 :rule trans :premises (@p16 @p9)) % 0.37/0.57 (step @p18 :rule refl :args (@t41)) % 0.37/0.57 (step @p19 :rule cong :premises (@p18 @p17) :args (@t42)) % 0.37/0.57 (step @p20 :rule trans :premises (@p19 @p8)) % 0.37/0.57 (step @p21 :rule refl :args (@t36)) % 0.37/0.57 (step @p22 :rule cong :premises (@p21 @p20) :args (@t44)) % 0.37/0.57 (step @p23 :rule trans :premises (@p22 @p7)) % 0.37/0.57 (step @p24 :rule refl :args (tptp.in)) % 0.37/0.57 (step @p25 :rule ho_cong :premises (@p24 @p21)) % 0.37/0.57 (step @p26 :rule ho_cong :premises (@p25 @p20)) % 0.37/0.57 (step @p27 :rule cong :premises (@p26 @p23) :args ((= (_ (_ tptp.in @t36) @t42) @t44))) % 0.37/0.57 (step @p28 :rule symm :premises (@p27)) % 0.37/0.57 (step @p29 :rule refl :args (@t18)) % 0.37/0.57 (step @p30 :rule eq_resolve :premises (@p29 @p28)) % 0.37/0.57 (step @p31 :rule refl :args (tptp.setadjoin)) % 0.37/0.57 (step @p32 :rule ho_cong :premises (@p31 @p18)) % 0.37/0.57 (step @p33 :rule ho_cong :premises (@p32 @p17)) % 0.37/0.57 (step @p34 :rule cong :premises (@p33 @p20) :args ((= (_ (_ tptp.setadjoin @t41) @t40) @t42))) % 0.37/0.57 (step @p35 :rule symm :premises (@p34)) % 0.37/0.57 (step @p36 :rule refl :args (@t15)) % 0.37/0.57 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 0.37/0.57 (step @p38 :rule ho_cong :premises (@p31 @p15)) % 0.37/0.57 (step @p39 :rule ho_cong :premises (@p38 @p10)) % 0.37/0.57 (step @p40 :rule cong :premises (@p39 @p17) :args ((= (_ (_ tptp.setadjoin @t39) tptp.emptyset) @t40))) % 0.37/0.57 (step @p41 :rule symm :premises (@p40)) % 0.37/0.57 (step @p42 :rule refl :args (@t13)) % 0.37/0.57 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 0.37/0.57 (step @p44 :rule refl :args (@t3)) % 0.37/0.57 (step @p45 :rule ho_cong :premises (@p44 @p12)) % 0.37/0.57 (step @p46 :rule cong :premises (@p45 @p15) :args ((= (_ @t3 @t38) @t39))) % 0.37/0.57 (step @p47 :rule symm :premises (@p46)) % 0.37/0.57 (step @p48 :rule refl :args (@t12)) % 0.37/0.57 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 0.37/0.57 (step @p50 :rule refl :args (@t11)) % 0.37/0.57 (step @p51 :rule cong :premises (@p50 @p12) :args ((= @t11 @t38))) % 0.37/0.57 (step @p52 :rule symm :premises (@p51)) % 0.37/0.57 (step @p53 :rule eq_resolve :premises (@p50 @p52)) % 0.37/0.57 (step @p54 :rule ho_cong :premises (@p44 @p53)) % 0.37/0.57 (step @p55 :rule trans :premises (@p54 @p49)) % 0.37/0.57 (step @p56 :rule ho_cong :premises (@p31 @p55)) % 0.37/0.57 (step @p57 :rule ho_cong :premises (@p56 @p10)) % 0.37/0.57 (step @p58 :rule trans :premises (@p57 @p43)) % 0.37/0.57 (step @p59 :rule refl :args (@t14)) % 0.37/0.57 (step @p60 :rule cong :premises (@p59 @p18) :args ((= @t14 @t41))) % 0.37/0.57 (step @p61 :rule symm :premises (@p60)) % 0.37/0.57 (step @p62 :rule eq_resolve :premises (@p59 @p61)) % 0.37/0.57 (step @p63 :rule ho_cong :premises (@p31 @p62)) % 0.37/0.57 (step @p64 :rule ho_cong :premises (@p63 @p58)) % 0.37/0.57 (step @p65 :rule trans :premises (@p64 @p37)) % 0.37/0.57 (step @p66 :rule refl :args (@t17)) % 0.37/0.57 (step @p67 :rule cong :premises (@p66 @p21) :args ((= @t17 @t36))) % 0.37/0.57 (step @p68 :rule symm :premises (@p67)) % 0.37/0.57 (step @p69 :rule eq_resolve :premises (@p66 @p68)) % 0.37/0.57 (step @p70 :rule ho_cong :premises (@p24 @p69)) % 0.37/0.57 (step @p71 :rule ho_cong :premises (@p70 @p65)) % 0.37/0.57 (step @p72 :rule trans :premises (@p71 @p30)) % 0.37/0.57 (step @p73 :rule cong :premises (@p72) :args (@t45)) % 0.37/0.57 (step @p74 :rule nary_cong :premises (@p73 @p6) :args (@t46)) % 0.37/0.57 (step @p75 :rule cong :premises (@p74) :args ((forall @t19 @t46))) % 0.37/0.57 (step @p76 :rule bool-impl-elim :args (@t18 @t10)) % 0.37/0.57 (step @p77 :rule cong :premises (@p76) :args (@t20)) % 0.37/0.57 (step @p78 :rule trans :premises (@p77 @p75)) % 0.37/0.57 (step @p79 :rule refl :args (tptp.setukpairinjL1)) % 0.37/0.57 (step @p80 :rule cong :premises (@p79 @p78) :args (@t21)) % 0.37/0.57 (step @p81 :rule eq_resolve :premises (@p2 @p80)) % 0.37/0.57 (step @p82 :rule cong :premises (@p81 @p5) :args (@t47)) % 0.37/0.57 (step @p83 :rule refl :args ((tptp.in @t2 @t4))) % 0.37/0.57 (step @p84 :rule refl :args (@t48)) % 0.37/0.57 (step @p85 :rule cong :premises (@p13 @p84) :args (@t49)) % 0.37/0.57 (step @p86 :rule trans :premises (@p85 @p83)) % 0.37/0.57 (step @p87 :rule refl :args (@t5)) % 0.37/0.57 (step @p88 :rule ho_cong :premises (@p87 @p84)) % 0.37/0.57 (step @p89 :rule cong :premises (@p88 @p86) :args ((= (_ @t5 @t48) @t49))) % 0.37/0.57 (step @p90 :rule symm :premises (@p89)) % 0.37/0.57 (step @p91 :rule refl :args (@t6)) % 0.37/0.57 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 0.37/0.57 (step @p93 :rule refl :args (@t4)) % 0.37/0.57 (step @p94 :rule cong :premises (@p93 @p84) :args ((= @t4 @t48))) % 0.37/0.57 (step @p95 :rule symm :premises (@p94)) % 0.37/0.57 (step @p96 :rule eq_resolve :premises (@p93 @p95)) % 0.37/0.57 (step @p97 :rule ho_cong :premises (@p87 @p96)) % 0.37/0.57 (step @p98 :rule trans :premises (@p97 @p92)) % 0.37/0.57 (step @p99 :rule cong :premises (@p98) :args (@t7)) % 0.37/0.57 (step @p100 :rule refl :args (tptp.setadjoinIL)) % 0.37/0.57 (step @p101 :rule cong :premises (@p100 @p99) :args (@t8)) % 0.37/0.57 (step @p102 :rule eq_resolve :premises (@p1 @p101)) % 0.37/0.57 (step @p103 :rule cong :premises (@p102 @p82) :args (@t50)) % 0.37/0.57 (step @p104 :rule cong :premises (@p103) :args ((not @t50))) % 0.37/0.57 (step @p105 :rule refl :args ((tptp.setadjoin @t17 @t25))) % 0.37/0.57 (step @p106 :rule refl :args ((tptp.setadjoin @t24 tptp.emptyset))) % 0.37/0.57 (step @p107 :rule refl :args ((tptp.setadjoin @t9 @t23))) % 0.37/0.57 (step @p108 :rule refl :args (@t33)) % 0.37/0.57 (step @p109 :rule refl :args (@t9)) % 0.37/0.57 (step @p110 :rule cong :premises (@p109 @p108) :args (@t34)) % 0.37/0.57 (step @p111 :rule trans :premises (@p110 @p107)) % 0.37/0.57 (step @p112 :rule cong :premises (@p111 @p10) :args (@t35)) % 0.37/0.57 (step @p113 :rule trans :premises (@p112 @p106)) % 0.37/0.57 (step @p114 :rule cong :premises (@p21 @p113) :args (@t37)) % 0.37/0.57 (step @p115 :rule trans :premises (@p114 @p105)) % 0.37/0.57 (step @p116 :rule ho_cong :premises (@p31 @p21)) % 0.37/0.57 (step @p117 :rule ho_cong :premises (@p116 @p113)) % 0.37/0.57 (step @p118 :rule cong :premises (@p117 @p115) :args ((= (_ (_ tptp.setadjoin @t36) @t35) @t37))) % 0.37/0.57 (step @p119 :rule symm :premises (@p118)) % 0.37/0.57 (step @p120 :rule refl :args (@t26)) % 0.37/0.57 (step @p121 :rule eq_resolve :premises (@p120 @p119)) % 0.37/0.57 (step @p122 :rule ho_cong :premises (@p31 @p111)) % 0.37/0.57 (step @p123 :rule ho_cong :premises (@p122 @p10)) % 0.37/0.57 (step @p124 :rule cong :premises (@p123 @p113) :args ((= (_ (_ tptp.setadjoin @t34) tptp.emptyset) @t35))) % 0.37/0.57 (step @p125 :rule symm :premises (@p124)) % 0.37/0.57 (step @p126 :rule refl :args (@t25)) % 0.37/0.57 (step @p127 :rule eq_resolve :premises (@p126 @p125)) % 0.37/0.57 (step @p128 :rule refl :args (@t16)) % 0.37/0.57 (step @p129 :rule ho_cong :premises (@p128 @p108)) % 0.37/0.57 (step @p130 :rule cong :premises (@p129 @p111) :args ((= (_ @t16 @t33) @t34))) % 0.37/0.57 (step @p131 :rule symm :premises (@p130)) % 0.37/0.57 (step @p132 :rule refl :args (@t24)) % 0.37/0.57 (step @p133 :rule eq_resolve :premises (@p132 @p131)) % 0.37/0.57 (step @p134 :rule refl :args (@t23)) % 0.37/0.57 (step @p135 :rule cong :premises (@p134 @p108) :args ((= @t23 @t33))) % 0.37/0.57 (step @p136 :rule symm :premises (@p135)) % 0.37/0.57 (step @p137 :rule eq_resolve :premises (@p134 @p136)) % 0.37/0.57 (step @p138 :rule ho_cong :premises (@p128 @p137)) % 0.37/0.57 (step @p139 :rule trans :premises (@p138 @p133)) % 0.37/0.57 (step @p140 :rule ho_cong :premises (@p31 @p139)) % 0.37/0.57 (step @p141 :rule ho_cong :premises (@p140 @p10)) % 0.37/0.57 (step @p142 :rule trans :premises (@p141 @p127)) % 0.37/0.57 (step @p143 :rule ho_cong :premises (@p31 @p69)) % 0.37/0.57 (step @p144 :rule ho_cong :premises (@p143 @p142)) % 0.37/0.57 (step @p145 :rule trans :premises (@p144 @p121)) % 0.37/0.57 (step @p146 :rule cong :premises (@p65 @p145) :args (@t27)) % 0.37/0.57 (step @p147 :rule cong :premises (@p146) :args (@t51)) % 0.37/0.57 (step @p148 :rule nary_cong :premises (@p147 @p6) :args (@t52)) % 0.37/0.57 (step @p149 :rule cong :premises (@p148) :args ((forall @t28 @t52))) % 0.37/0.57 (step @p150 :rule bool-impl-elim :args (@t27 @t10)) % 0.37/0.57 (step @p151 :rule cong :premises (@p150) :args (@t29)) % 0.37/0.57 (step @p152 :rule trans :premises (@p151 @p149)) % 0.37/0.57 (step @p153 :rule cong :premises (@p79 @p152) :args (@t30)) % 0.37/0.57 (step @p154 :rule cong :premises (@p100 @p153) :args (@t31)) % 0.37/0.57 (step @p155 :rule cong :premises (@p154) :args (@t32)) % 0.37/0.57 (step @p156 :rule trans :premises (@p155 @p104)) % 0.37/0.57 (step @p157 :rule eq_resolve :premises (@p3 @p156)) % 0.37/0.57 (step @p158 :rule not_implies_elim2 :premises (@p157)) % 0.37/0.57 (step @p159 :rule not_implies_elim1 :premises (@p158)) % 0.37/0.57 (step @p160 :rule not_implies_elim1 :premises (@p157)) % 0.37/0.57 (step @p161 :rule instantiate :premises (@p160) :args ((@list @t55 @t54))) % 0.37/0.57 (step @p162 :rule true_intro :premises (@p161)) % 0.37/0.57 (step @p163 :rule not_implies_elim2 :premises (@p158)) % 0.37/0.57 (step @p164 :rule skolemize :premises (@p163)) % 0.37/0.57 (step @p165 :rule bool-double-not-elim :args (@t59)) % 0.37/0.57 (step @p166 :rule refl :args (@t62)) % 0.37/0.57 (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or @t62 (not @t61)))) % 0.37/0.57 (step @p168 :rule cnf_or_neg :args (@t62 0)) % 0.37/0.57 (step @p169 :rule eq_resolve :premises (@p168 @p167)) % 0.37/0.57 (step @p170 :rule reordering :premises (@p169) :args ((or @t59 @t62))) % 0.37/0.57 (step @p171 :rule chain_m_resolution :premises (@p170 @p164) :args (@t59 @t63 @t64)) % 0.37/0.57 (step @p172 :rule symm :premises (@p171)) % 0.37/0.57 (step @p173 :rule refl :args (@t55)) % 0.37/0.57 (step @p174 :rule cong :premises (@p173 @p172) :args (@t65)) % 0.37/0.57 (step @p175 :rule trans :premises (@p174 @p162)) % 0.37/0.57 (step @p176 :rule true_elim :premises (@p175)) % 0.37/0.57 (step @p177 :rule cnf_or_neg :args (@t62 1)) % 0.37/0.57 (step @p178 :rule chain_m_resolution :premises (@p177 @p164) :args ((not @t60) @t63 @t64)) % 0.37/0.57 (step @p179 :rule cnf_or_pos :args (@t67)) % 0.37/0.57 (step @p180 :rule reordering :premises (@p179) :args ((or @t60 @t66 @t68))) % 0.37/0.57 (step @p181 :rule chain_m_resolution :premises (@p180 @p178 @p176) :args (@t68 @t69 (@list @t60 @t65))) % 0.37/0.57 (step @p182 :rule eq-symm :args (@t57 @t53)) % 0.37/0.57 (step @p183 :rule refl :args (@t66)) % 0.37/0.57 (step @p184 :rule nary_cong :premises (@p183 @p182) :args (@t70)) % 0.37/0.57 (step @p185 :rule refl :args (@t71)) % 0.37/0.57 (step @p186 :rule cong :premises (@p185 @p184) :args ((=> @t71 @t70))) % 0.37/0.57 (assume-push @p194 @t71) % 0.37/0.57 (step @p188 :rule instantiate :premises (@p159) :args ((@list @t57 @t56 @t53))) % 0.37/0.57 (step-pop @p195 :rule scope :premises (@p188)) % 0.37/0.57 (step @p189 :rule process_scope :premises (@p195) :args (@t70)) % 0.37/0.57 (step @p191 :rule eq_resolve :premises (@p189 @p186)) % 0.37/0.57 (step @p192 :rule implies_elim :premises (@p191)) % 0.37/0.57 (step @p193 false :rule chain_m_resolution :premises (@p192 @p181 @p159) :args (false @t69 (@list @t67 @t71))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------