%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT002^1 : TPTP v9.2.1. Released v6.4.0. % 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 08:14:19 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 : DAT002^1 : TPTP v9.2.1. Released v6.4.0. % 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 : n010.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 : Mon Jun 1 22:24:55 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----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 tptp.list 0) % 0.37/0.57 (declare-const tptp.mycons (-> Int tptp.list tptp.list)) % 0.37/0.57 (declare-const tptp.fib_sorted (-> tptp.list Bool)) % 0.37/0.57 (declare-const tptp.nil tptp.list) % 0.37/0.57 (define @t1 () (@var "X" Int)) % 0.37/0.57 (define @t2 () (_ tptp.mycons @t1)) % 0.37/0.57 (define @t3 () (@var "Y" Int)) % 0.37/0.57 (define @t4 () (_ tptp.mycons @t3)) % 0.37/0.57 (define @t5 () (_ @t4 tptp.nil)) % 0.37/0.57 (define @t6 () (_ @t2 @t5)) % 0.37/0.57 (define @t7 () (_ tptp.fib_sorted @t6)) % 0.37/0.57 (define @t8 () (< @t1 @t3)) % 0.37/0.57 (define @t9 () (=> @t8 @t7)) % 0.37/0.57 (define @t10 () (@list @t1 @t3)) % 0.37/0.57 (define @t11 () (forall @t10 @t9)) % 0.37/0.57 (define @t12 () (@var "R" tptp.list)) % 0.37/0.57 (define @t13 () (@var "Z" Int)) % 0.37/0.57 (define @t14 () (_ (_ tptp.mycons @t13) @t12)) % 0.37/0.57 (define @t15 () (_ @t4 @t14)) % 0.37/0.57 (define @t16 () (_ @t2 @t15)) % 0.37/0.57 (define @t17 () (_ tptp.fib_sorted @t16)) % 0.37/0.57 (define @t18 () (_ tptp.fib_sorted @t15)) % 0.37/0.57 (define @t19 () (+ @t1 @t3)) % 0.37/0.57 (define @t20 () (>= @t13 @t19)) % 0.37/0.57 (define @t21 () (and @t8 @t20 @t18)) % 0.37/0.57 (define @t22 () (=> @t21 @t17)) % 0.37/0.57 (define @t23 () (@list @t1 @t3 @t13 @t12)) % 0.37/0.57 (define @t24 () (forall @t23 @t22)) % 0.37/0.57 (define @t25 () (_ (_ tptp.mycons 100) tptp.nil)) % 0.37/0.57 (define @t26 () (_ tptp.mycons 7)) % 0.37/0.57 (define @t27 () (_ @t26 @t25)) % 0.37/0.57 (define @t28 () (_ tptp.mycons 4)) % 0.37/0.57 (define @t29 () (_ @t28 @t27)) % 0.37/0.57 (define @t30 () (_ tptp.mycons 2)) % 0.37/0.57 (define @t31 () (_ @t30 @t29)) % 0.37/0.57 (define @t32 () (_ tptp.mycons 1)) % 0.37/0.57 (define @t33 () (_ @t32 @t31)) % 0.37/0.57 (define @t34 () (_ tptp.fib_sorted @t33)) % 0.37/0.57 (define @t35 () (not @t34)) % 0.37/0.57 (define @t36 () (tptp.mycons @t13 @t12)) % 0.37/0.57 (define @t37 () (tptp.mycons @t3 @t36)) % 0.37/0.57 (define @t38 () (tptp.mycons @t1 @t37)) % 0.37/0.57 (define @t39 () (tptp.fib_sorted @t38)) % 0.37/0.57 (define @t40 () (tptp.fib_sorted @t37)) % 0.37/0.57 (define @t41 () (not @t18)) % 0.37/0.57 (define @t42 () (+ @t1 @t3 (* -1 @t13))) % 0.37/0.57 (define @t43 () (>= @t42 1)) % 0.37/0.57 (define @t44 () (+ @t1 (* -1 @t3))) % 0.37/0.57 (define @t45 () (>= @t44 0)) % 0.37/0.57 (define @t46 () (or @t45 @t43 @t41 @t17)) % 0.37/0.57 (define @t47 () (not @t43)) % 0.37/0.57 (define @t48 () (not @t47)) % 0.37/0.57 (define @t49 () (not @t45)) % 0.37/0.57 (define @t50 () (not @t49)) % 0.37/0.57 (define @t51 () (or @t50 @t48 @t41)) % 0.37/0.57 (define @t52 () (and @t49 @t47 @t18)) % 0.37/0.57 (define @t53 () (+ @t42 1)) % 0.37/0.57 (define @t54 () (>= @t1 @t3)) % 0.37/0.57 (define @t55 () (tptp.mycons 100 tptp.nil)) % 0.37/0.57 (define @t56 () (tptp.mycons 7 @t55)) % 0.37/0.57 (define @t57 () (tptp.mycons 4 @t56)) % 0.37/0.57 (define @t58 () (tptp.mycons 2 @t57)) % 0.37/0.57 (define @t59 () (tptp.fib_sorted @t58)) % 0.37/0.57 (define @t60 () (tptp.fib_sorted @t57)) % 0.37/0.57 (define @t61 () (not @t60)) % 0.37/0.57 (define @t62 () (or @t61 @t59)) % 0.37/0.57 (define @t63 () (* -1 7)) % 0.37/0.57 (define @t64 () (+ 2 4 @t63)) % 0.37/0.57 (define @t65 () (>= @t64 1)) % 0.37/0.57 (define @t66 () (* -1 4)) % 0.37/0.57 (define @t67 () (+ 2 @t66)) % 0.37/0.57 (define @t68 () (>= @t67 0)) % 0.37/0.57 (define @t69 () (or @t68 @t65 @t61 @t59)) % 0.37/0.57 (define @t70 () (forall @t23 (or @t45 @t43 (not @t40) @t39))) % 0.37/0.57 (define @t71 () (@list false)) % 0.37/0.57 (define @t72 () (@list @t70)) % 0.37/0.57 (define @t73 () (tptp.fib_sorted @t56)) % 0.37/0.57 (define @t74 () (not @t73)) % 0.37/0.57 (define @t75 () (or @t74 @t60)) % 0.37/0.57 (define @t76 () (* -1 100)) % 0.37/0.57 (define @t77 () (+ 4 7 @t76)) % 0.37/0.57 (define @t78 () (>= @t77 1)) % 0.37/0.57 (define @t79 () (+ 4 @t63)) % 0.37/0.57 (define @t80 () (>= @t79 0)) % 0.37/0.57 (define @t81 () (or @t80 @t78 @t74 @t60)) % 0.37/0.57 (define @t82 () (tptp.mycons @t3 tptp.nil)) % 0.37/0.57 (define @t83 () (tptp.mycons @t1 @t82)) % 0.37/0.57 (define @t84 () (tptp.fib_sorted @t83)) % 0.37/0.57 (define @t85 () (or @t45 @t7)) % 0.37/0.57 (define @t86 () (+ 7 @t76)) % 0.37/0.57 (define @t87 () (>= @t86 0)) % 0.37/0.57 (define @t88 () (or @t87 @t73)) % 0.37/0.57 (define @t89 () (forall @t10 (or @t45 @t84))) % 0.37/0.57 (define @t90 () (tptp.mycons 1 @t58)) % 0.37/0.57 (define @t91 () (tptp.fib_sorted @t90)) % 0.37/0.57 (define @t92 () (not @t59)) % 0.37/0.57 (define @t93 () (or @t92 @t91)) % 0.37/0.57 (define @t94 () (+ 1 2 @t66)) % 0.37/0.57 (define @t95 () (>= @t94 1)) % 0.37/0.57 (define @t96 () (* -1 2)) % 0.37/0.57 (define @t97 () (+ 1 @t96)) % 0.37/0.57 (define @t98 () (>= @t97 0)) % 0.37/0.57 (define @t99 () (or @t98 @t95 @t92 @t91)) % 0.37/0.57 (assume @p1 (_ tptp.fib_sorted tptp.nil)) % 0.37/0.57 (assume @p2 (forall (@list @t1) (_ tptp.fib_sorted (_ @t2 tptp.nil)))) % 0.37/0.57 (assume @p3 @t11) % 0.37/0.57 (assume @p4 @t24) % 0.37/0.57 (assume @p5 @t35) % 0.37/0.57 (assume @p6 true) % 0.37/0.57 (step @p7 :rule refl :args ((tptp.fib_sorted @t16))) % 0.37/0.57 (step @p8 :rule refl :args ((tptp.mycons @t1 @t15))) % 0.37/0.57 (step @p9 :rule refl :args ((tptp.mycons @t3 @t14))) % 0.37/0.57 (step @p10 :rule refl :args (@t36)) % 0.37/0.57 (step @p11 :rule refl :args (@t3)) % 0.37/0.57 (step @p12 :rule cong :premises (@p11 @p10) :args (@t37)) % 0.37/0.57 (step @p13 :rule trans :premises (@p12 @p9)) % 0.37/0.57 (step @p14 :rule refl :args (@t1)) % 0.37/0.57 (step @p15 :rule cong :premises (@p14 @p13) :args (@t38)) % 0.37/0.57 (step @p16 :rule trans :premises (@p15 @p8)) % 0.37/0.57 (step @p17 :rule cong :premises (@p16) :args (@t39)) % 0.37/0.57 (step @p18 :rule trans :premises (@p17 @p7)) % 0.37/0.57 (step @p19 :rule refl :args (tptp.fib_sorted)) % 0.37/0.57 (step @p20 :rule ho_cong :premises (@p19 @p16)) % 0.37/0.57 (step @p21 :rule cong :premises (@p20 @p18) :args ((= (_ tptp.fib_sorted @t38) @t39))) % 0.37/0.57 (step @p22 :rule symm :premises (@p21)) % 0.37/0.57 (step @p23 :rule refl :args (@t17)) % 0.37/0.57 (step @p24 :rule eq_resolve :premises (@p23 @p22)) % 0.37/0.57 (step @p25 :rule refl :args (@t2)) % 0.37/0.57 (step @p26 :rule ho_cong :premises (@p25 @p13)) % 0.37/0.57 (step @p27 :rule cong :premises (@p26 @p16) :args ((= (_ @t2 @t37) @t38))) % 0.37/0.57 (step @p28 :rule symm :premises (@p27)) % 0.37/0.57 (step @p29 :rule refl :args (@t16)) % 0.37/0.57 (step @p30 :rule eq_resolve :premises (@p29 @p28)) % 0.37/0.57 (step @p31 :rule refl :args (@t4)) % 0.37/0.57 (step @p32 :rule ho_cong :premises (@p31 @p10)) % 0.37/0.57 (step @p33 :rule cong :premises (@p32 @p13) :args ((= (_ @t4 @t36) @t37))) % 0.37/0.57 (step @p34 :rule symm :premises (@p33)) % 0.37/0.57 (step @p35 :rule refl :args (@t15)) % 0.37/0.57 (step @p36 :rule eq_resolve :premises (@p35 @p34)) % 0.37/0.57 (step @p37 :rule refl :args (@t14)) % 0.37/0.57 (step @p38 :rule cong :premises (@p37 @p10) :args ((= @t14 @t36))) % 0.37/0.57 (step @p39 :rule symm :premises (@p38)) % 0.37/0.57 (step @p40 :rule eq_resolve :premises (@p37 @p39)) % 0.37/0.57 (step @p41 :rule ho_cong :premises (@p31 @p40)) % 0.37/0.57 (step @p42 :rule trans :premises (@p41 @p36)) % 0.37/0.57 (step @p43 :rule ho_cong :premises (@p25 @p42)) % 0.37/0.57 (step @p44 :rule trans :premises (@p43 @p30)) % 0.37/0.57 (step @p45 :rule ho_cong :premises (@p19 @p44)) % 0.37/0.57 (step @p46 :rule trans :premises (@p45 @p24)) % 0.37/0.57 (step @p47 :rule refl :args ((tptp.fib_sorted @t15))) % 0.37/0.57 (step @p48 :rule cong :premises (@p13) :args (@t40)) % 0.37/0.57 (step @p49 :rule trans :premises (@p48 @p47)) % 0.37/0.57 (step @p50 :rule ho_cong :premises (@p19 @p13)) % 0.37/0.57 (step @p51 :rule cong :premises (@p50 @p49) :args ((= (_ tptp.fib_sorted @t37) @t40))) % 0.37/0.57 (step @p52 :rule symm :premises (@p51)) % 0.37/0.57 (step @p53 :rule refl :args (@t18)) % 0.37/0.57 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.37/0.57 (step @p55 :rule ho_cong :premises (@p19 @p42)) % 0.37/0.57 (step @p56 :rule trans :premises (@p55 @p54)) % 0.37/0.57 (step @p57 :rule cong :premises (@p56) :args (@t41)) % 0.37/0.57 (step @p58 :rule refl :args (@t43)) % 0.37/0.57 (step @p59 :rule refl :args (@t45)) % 0.37/0.57 (step @p60 :rule nary_cong :premises (@p59 @p58 @p57 @p46) :args (@t46)) % 0.37/0.57 (step @p61 :rule cong :premises (@p60) :args ((forall @t23 @t46))) % 0.37/0.57 (step @p62 :rule aci_norm :args ((= (or (or @t45 @t43 @t41) @t17) @t46))) % 0.37/0.57 (step @p63 :rule refl :args (@t41)) % 0.37/0.57 (step @p64 :rule bool-double-not-elim :args (@t43)) % 0.37/0.57 (step @p65 :rule bool-double-not-elim :args (@t45)) % 0.37/0.57 (step @p66 :rule nary_cong :premises (@p65 @p64 @p63) :args (@t51)) % 0.37/0.57 (step @p67 :rule aci_norm :args ((= (or @t50 (or @t48 @t41)) @t51))) % 0.37/0.57 (step @p68 :rule trans :premises (@p67 @p66)) % 0.37/0.57 (step @p69 :rule bool-and-de-morgan :args (@t47 @t18 true)) % 0.37/0.57 (step @p70 :rule refl :args (@t50)) % 0.37/0.57 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or @t50 (not (and @t47 @t18))))) % 0.37/0.57 (step @p72 :rule bool-and-de-morgan :args (@t49 @t47 (and @t18))) % 0.37/0.57 (step @p73 :rule trans :premises (@p72 @p71)) % 0.37/0.57 (step @p74 :rule trans :premises (@p73 @p68)) % 0.37/0.57 (step @p75 :rule nary_cong :premises (@p74 @p23) :args ((or (not @t52) @t17))) % 0.37/0.57 (step @p76 :rule trans :premises (@p75 @p62)) % 0.37/0.57 (step @p77 :rule bool-impl-elim :args (@t52 @t17)) % 0.37/0.57 (step @p78 :rule trans :premises (@p77 @p76)) % 0.37/0.57 (step @p79 :rule cong :premises (@p78) :args ((forall @t23 (=> @t52 @t17)))) % 0.37/0.57 (step @p80 :rule trans :premises (@p79 @p61)) % 0.37/0.57 (step @p81 :rule refl :args (@t17)) % 0.37/0.57 (step @p82 :rule refl :args (@t18)) % 0.37/0.57 (step @p83 :rule arith_poly_norm :args ((= (* -1 (- 1 @t53)) (* -1 (- @t13 @t19))))) % 0.37/0.57 (step @p84 :rule arith_poly_norm_rel :premises (@p83) :args ((= (>= 1 @t53) @t20))) % 0.37/0.57 (step @p85 :rule arith-geq-tighten :args (@t42 1)) % 0.37/0.57 (step @p86 :rule trans :premises (@p85 @p84)) % 0.37/0.57 (step @p87 :rule symm :premises (@p86)) % 0.37/0.57 (step @p88 :rule arith_poly_norm :args ((= (* 1 (- @t1 @t3)) (* 1 (- @t44 0))))) % 0.37/0.57 (step @p89 :rule arith_poly_norm_rel :premises (@p88) :args ((= @t54 @t45))) % 0.37/0.57 (step @p90 :rule cong :premises (@p89) :args ((not @t54))) % 0.37/0.57 (step @p91 :rule arith-elim-lt :args (@t1 @t3)) % 0.37/0.57 (step @p92 :rule trans :premises (@p91 @p90)) % 0.37/0.57 (step @p93 :rule nary_cong :premises (@p92 @p87 @p82) :args (@t21)) % 0.37/0.57 (step @p94 :rule cong :premises (@p93 @p81) :args (@t22)) % 0.37/0.57 (step @p95 :rule cong :premises (@p94) :args (@t24)) % 0.37/0.57 (step @p96 :rule trans :premises (@p95 @p80)) % 0.37/0.57 (step @p97 :rule eq_resolve :premises (@p4 @p96)) % 0.37/0.57 (step @p98 :rule aci_norm :args ((= (or false false @t61 @t59) @t62))) % 0.37/0.57 (step @p99 :rule refl :args (@t59)) % 0.37/0.57 (step @p100 :rule refl :args (@t61)) % 0.37/0.57 (step @p101 :rule evaluate :args ((>= -1 1))) % 0.37/0.57 (step @p102 :rule refl :args (1)) % 0.37/0.57 (step @p103 :rule evaluate :args ((+ 2 4 -7))) % 0.37/0.57 (step @p104 :rule evaluate :args (@t63)) % 0.37/0.57 (step @p105 :rule refl :args (4)) % 0.37/0.57 (step @p106 :rule refl :args (2)) % 0.37/0.57 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104) :args (@t64)) % 0.37/0.57 (step @p108 :rule trans :premises (@p107 @p103)) % 0.37/0.57 (step @p109 :rule cong :premises (@p108 @p102) :args (@t65)) % 0.37/0.57 (step @p110 :rule trans :premises (@p109 @p101)) % 0.37/0.57 (step @p111 :rule evaluate :args ((>= -2 0))) % 0.37/0.57 (step @p112 :rule refl :args (0)) % 0.37/0.57 (step @p113 :rule evaluate :args ((+ 2 -4))) % 0.37/0.57 (step @p114 :rule evaluate :args (@t66)) % 0.37/0.57 (step @p115 :rule nary_cong :premises (@p106 @p114) :args (@t67)) % 0.37/0.57 (step @p116 :rule trans :premises (@p115 @p113)) % 0.37/0.57 (step @p117 :rule cong :premises (@p116 @p112) :args (@t68)) % 0.37/0.57 (step @p118 :rule trans :premises (@p117 @p111)) % 0.37/0.57 (step @p119 :rule nary_cong :premises (@p118 @p110 @p100 @p99) :args (@t69)) % 0.37/0.57 (step @p120 :rule trans :premises (@p119 @p98)) % 0.37/0.57 (step @p121 :rule refl :args (@t70)) % 0.37/0.57 (step @p122 :rule cong :premises (@p121 @p120) :args ((=> @t70 @t69))) % 0.37/0.57 (assume-push @p317 @t70) % 0.37/0.57 (step @p124 :rule instantiate :premises (@p97) :args ((@list 2 4 7 @t55))) % 0.37/0.57 (step-pop @p318 :rule scope :premises (@p124)) % 0.37/0.57 (step @p125 :rule process_scope :premises (@p318) :args (@t69)) % 0.37/0.57 (step @p127 :rule eq_resolve :premises (@p125 @p122)) % 0.37/0.57 (step @p128 :rule implies_elim :premises (@p127)) % 0.37/0.57 (step @p129 :rule chain_m_resolution :premises (@p128 @p97) :args (@t62 @t71 @t72)) % 0.37/0.57 (step @p130 :rule aci_norm :args ((= (or false false @t74 @t60) @t75))) % 0.37/0.57 (step @p131 :rule refl :args (@t60)) % 0.37/0.57 (step @p132 :rule refl :args (@t74)) % 0.37/0.57 (step @p133 :rule evaluate :args ((>= -89 1))) % 0.37/0.57 (step @p134 :rule evaluate :args ((+ 4 7 -100))) % 0.37/0.57 (step @p135 :rule evaluate :args (@t76)) % 0.37/0.57 (step @p136 :rule refl :args (7)) % 0.37/0.57 (step @p137 :rule nary_cong :premises (@p105 @p136 @p135) :args (@t77)) % 0.37/0.57 (step @p138 :rule trans :premises (@p137 @p134)) % 0.37/0.57 (step @p139 :rule cong :premises (@p138 @p102) :args (@t78)) % 0.37/0.57 (step @p140 :rule trans :premises (@p139 @p133)) % 0.37/0.57 (step @p141 :rule evaluate :args ((>= -3 0))) % 0.37/0.57 (step @p142 :rule evaluate :args ((+ 4 -7))) % 0.37/0.57 (step @p143 :rule nary_cong :premises (@p105 @p104) :args (@t79)) % 0.37/0.57 (step @p144 :rule trans :premises (@p143 @p142)) % 0.37/0.57 (step @p145 :rule cong :premises (@p144 @p112) :args (@t80)) % 0.37/0.57 (step @p146 :rule trans :premises (@p145 @p141)) % 0.37/0.57 (step @p147 :rule nary_cong :premises (@p146 @p140 @p132 @p131) :args (@t81)) % 0.37/0.57 (step @p148 :rule trans :premises (@p147 @p130)) % 0.37/0.57 (step @p149 :rule cong :premises (@p121 @p148) :args ((=> @t70 @t81))) % 0.37/0.57 (assume-push @p319 @t70) % 0.37/0.57 (step @p151 :rule instantiate :premises (@p97) :args ((@list 4 7 100 tptp.nil))) % 0.37/0.57 (step-pop @p320 :rule scope :premises (@p151)) % 0.37/0.57 (step @p152 :rule process_scope :premises (@p320) :args (@t81)) % 0.37/0.57 (step @p154 :rule eq_resolve :premises (@p152 @p149)) % 0.37/0.57 (step @p155 :rule implies_elim :premises (@p154)) % 0.37/0.57 (step @p156 :rule chain_m_resolution :premises (@p155 @p97) :args (@t75 @t71 @t72)) % 0.37/0.57 (step @p157 :rule refl :args ((tptp.fib_sorted @t6))) % 0.37/0.57 (step @p158 :rule refl :args ((tptp.mycons @t1 @t5))) % 0.37/0.57 (step @p159 :rule refl :args (@t82)) % 0.37/0.57 (step @p160 :rule cong :premises (@p14 @p159) :args (@t83)) % 0.37/0.57 (step @p161 :rule trans :premises (@p160 @p158)) % 0.37/0.57 (step @p162 :rule cong :premises (@p161) :args (@t84)) % 0.37/0.57 (step @p163 :rule trans :premises (@p162 @p157)) % 0.37/0.57 (step @p164 :rule ho_cong 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(step @p270 :rule refl :args (@t33)) % 0.37/0.58 (step @p271 :rule eq_resolve :premises (@p270 @p269)) % 0.37/0.58 (step @p272 :rule refl :args (@t30)) % 0.37/0.58 (step @p273 :rule ho_cong :premises (@p272 @p252)) % 0.37/0.58 (step @p274 :rule cong :premises (@p273 @p255) :args ((= (_ @t30 @t57) @t58))) % 0.37/0.58 (step @p275 :rule symm :premises (@p274)) % 0.37/0.58 (step @p276 :rule refl :args (@t31)) % 0.37/0.58 (step @p277 :rule eq_resolve :premises (@p276 @p275)) % 0.37/0.58 (step @p278 :rule refl :args (@t28)) % 0.37/0.58 (step @p279 :rule ho_cong :premises (@p278 @p249)) % 0.37/0.58 (step @p280 :rule cong :premises (@p279 @p252) :args ((= (_ @t28 @t56) @t57))) % 0.37/0.58 (step @p281 :rule symm :premises (@p280)) % 0.37/0.58 (step @p282 :rule refl :args (@t29)) % 0.37/0.58 (step @p283 :rule eq_resolve :premises (@p282 @p281)) % 0.37/0.58 (step @p284 :rule refl :args (@t26)) % 0.37/0.58 (step @p285 :rule ho_cong :premises (@p284 @p246)) % 0.37/0.58 (step @p286 :rule cong 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0.37/0.58 (step @p303 :rule refl :args (@t32)) % 0.37/0.58 (step @p304 :rule ho_cong :premises (@p303 @p302)) % 0.37/0.58 (step @p305 :rule trans :premises (@p304 @p271)) % 0.37/0.58 (step @p306 :rule refl :args (tptp.fib_sorted)) % 0.37/0.58 (step @p307 :rule ho_cong :premises (@p306 @p305)) % 0.37/0.58 (step @p308 :rule trans :premises (@p307 @p265)) % 0.37/0.58 (step @p309 :rule cong :premises (@p308) :args (@t35)) % 0.37/0.58 (step @p310 :rule eq_resolve :premises (@p5 @p309)) % 0.37/0.58 (step @p311 :rule cnf_or_pos :args (@t93)) % 0.37/0.58 (step @p312 :rule reordering :premises (@p311) :args ((or @t91 @t92 (not @t93)))) % 0.37/0.58 (step @p313 :rule chain_m_resolution :premises (@p312 @p310 @p240) :args (@t92 (@list true false) (@list @t91 @t93))) % 0.37/0.58 (step @p314 :rule cnf_or_pos :args (@t62)) % 0.37/0.58 (step @p315 :rule reordering :premises (@p314) :args ((or @t61 @t59 (not @t62)))) % 0.37/0.58 (step @p316 false :rule chain_m_resolution :premises (@p315 @p313 @p215 @p129) :args (false (@list true false false) (@list @t59 @t60 @t62))) % 0.37/0.58 ) % 0.37/0.58 % SZS output end Proof % 0.37/0.58 % cvc5 exiting %------------------------------------------------------------------------------