%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ141^1 : TPTP v9.2.1. Released v6.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:44:18 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ141^1 : TPTP v9.2.1. Released v6.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.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 13:19:48 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.38/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort tptp.movelist 0) % 0.38/0.58 (declare-sort tptp.direction 0) % 0.38/0.58 (declare-sort tptp.position 0) % 0.38/0.58 (declare-const tptp.playerpos (-> tptp.movelist tptp.position)) % 0.38/0.58 (declare-const tptp.c10 tptp.position) % 0.38/0.58 (declare-const tptp.movedir (-> tptp.movelist tptp.direction tptp.movelist)) % 0.38/0.58 (declare-const tptp.nomove tptp.movelist) % 0.38/0.58 (declare-const tptp.top tptp.direction) % 0.38/0.58 (declare-const tptp.c00 tptp.position) % 0.38/0.58 (declare-const tptp.bottom tptp.direction) % 0.38/0.58 (declare-const tptp.wall (-> tptp.position Bool)) % 0.38/0.58 (declare-const tptp.left tptp.direction) % 0.38/0.58 (declare-const tptp.right tptp.direction) % 0.38/0.58 (declare-const tptp.c20 tptp.position) % 0.38/0.58 (declare-const tptp.next (-> tptp.position tptp.direction tptp.position)) % 0.38/0.58 (define @t1 () (@var "D1" tptp.direction)) % 0.38/0.58 (define @t2 () (@var "D2" tptp.direction)) % 0.38/0.58 (define @t3 () (@var "P" tptp.position)) % 0.38/0.58 (define @t4 () (_ tptp.next @t3)) % 0.38/0.58 (define @t5 () (@list @t3)) % 0.38/0.58 (define @t6 () (@var "D" tptp.direction)) % 0.38/0.58 (define @t7 () (@var "PO" tptp.position)) % 0.38/0.58 (define @t8 () (_ (_ tptp.next @t7) @t6)) % 0.38/0.58 (define @t9 () (@var "M" tptp.movelist)) % 0.38/0.58 (define @t10 () (_ (_ tptp.movedir @t9) @t6)) % 0.38/0.58 (define @t11 () (_ tptp.playerpos @t10)) % 0.38/0.58 (define @t12 () (_ tptp.wall @t8)) % 0.38/0.58 (define @t13 () (not @t12)) % 0.38/0.58 (define @t14 () (=> @t13 (= @t11 @t8))) % 0.38/0.58 (define @t15 () (_ tptp.playerpos @t9)) % 0.38/0.58 (define @t16 () (= @t15 @t7)) % 0.38/0.58 (define @t17 () (=> @t16 @t14)) % 0.38/0.58 (define @t18 () (@list @t7 @t9 @t6)) % 0.38/0.58 (define @t19 () (forall @t18 @t17)) % 0.38/0.58 (define @t20 () (= tptp.c20 (_ (_ tptp.next tptp.c10) tptp.right))) % 0.38/0.58 (define @t21 () (_ tptp.wall tptp.c10)) % 0.38/0.58 (define @t22 () (_ tptp.wall tptp.c20)) % 0.38/0.58 (define @t23 () (_ tptp.playerpos tptp.nomove)) % 0.38/0.58 (define @t24 () (= @t15 tptp.c20)) % 0.38/0.58 (define @t25 () (@list @t9)) % 0.38/0.58 (define @t26 () (exists @t25 @t24)) % 0.38/0.58 (define @t27 () (not @t26)) % 0.38/0.58 (define @t28 () (_ (_ tptp.next @t23) tptp.right)) % 0.38/0.58 (define @t29 () (tptp.playerpos tptp.nomove)) % 0.38/0.58 (define @t30 () (tptp.next @t29 tptp.right)) % 0.38/0.58 (define @t31 () (tptp.next @t30 tptp.right)) % 0.38/0.58 (define @t32 () (_ (_ tptp.next @t28) tptp.right)) % 0.38/0.58 (define @t33 () (tptp.playerpos @t9)) % 0.38/0.58 (define @t34 () (= @t33 @t32)) % 0.38/0.58 (define @t35 () (not @t34)) % 0.38/0.58 (define @t36 () (not (= @t32 @t33))) % 0.38/0.58 (define @t37 () (= tptp.c20 @t33)) % 0.38/0.58 (define @t38 () (not @t37)) % 0.38/0.58 (define @t39 () (forall @t25 @t38)) % 0.38/0.58 (define @t40 () (not (= @t33 tptp.c20))) % 0.38/0.58 (define @t41 () (not @t24)) % 0.38/0.58 (define @t42 () (forall @t25 @t41)) % 0.38/0.58 (define @t43 () (not @t42)) % 0.38/0.58 (define @t44 () (tptp.next @t33 @t6)) % 0.38/0.58 (define @t45 () (tptp.movedir @t9 @t6)) % 0.38/0.58 (define @t46 () (tptp.playerpos @t45)) % 0.38/0.58 (define @t47 () (= @t46 @t44)) % 0.38/0.58 (define @t48 () (tptp.wall @t44)) % 0.38/0.58 (define @t49 () (or @t48 @t47)) % 0.38/0.58 (define @t50 () (not (= @t33 @t33))) % 0.38/0.58 (define @t51 () (or @t50 @t48 (= @t44 @t46))) % 0.38/0.58 (define @t52 () (@list @t9 @t6)) % 0.38/0.58 (define @t53 () (tptp.next @t7 @t6)) % 0.38/0.58 (define @t54 () (= @t53 @t46)) % 0.38/0.58 (define @t55 () (tptp.wall @t53)) % 0.38/0.58 (define @t56 () (not (= @t7 @t33))) % 0.38/0.58 (define @t57 () (or @t56 @t56 @t55 @t54)) % 0.38/0.58 (define @t58 () (@list @t7)) % 0.38/0.58 (define @t59 () (or @t56 @t55 @t54)) % 0.38/0.58 (define @t60 () (forall @t58 @t59)) % 0.38/0.58 (define @t61 () (forall @t52 @t60)) % 0.38/0.58 (define @t62 () (forall (@list @t9 @t6 @t7) @t59)) % 0.38/0.58 (define @t63 () (= @t8 @t11)) % 0.38/0.58 (define @t64 () (= @t7 @t15)) % 0.38/0.58 (define @t65 () (not @t64)) % 0.38/0.58 (define @t66 () (or @t65 @t12 @t63)) % 0.38/0.58 (define @t67 () (=> @t13 @t63)) % 0.38/0.58 (define @t68 () (tptp.movedir tptp.nomove tptp.right)) % 0.38/0.58 (define @t69 () (tptp.movedir @t68 tptp.right)) % 0.38/0.58 (define @t70 () (tptp.playerpos @t69)) % 0.38/0.58 (define @t71 () (tptp.playerpos @t68)) % 0.38/0.58 (define @t72 () (tptp.next @t71 tptp.right)) % 0.38/0.58 (define @t73 () (tptp.wall @t72)) % 0.38/0.58 (define @t74 () (or @t73 (= @t70 @t72))) % 0.38/0.58 (define @t75 () (forall @t52 @t49)) % 0.38/0.58 (define @t76 () (= @t72 @t70)) % 0.38/0.58 (define @t77 () (or @t73 @t76)) % 0.38/0.58 (define @t78 () (@list false)) % 0.38/0.58 (define @t79 () (@list @t75)) % 0.38/0.58 (define @t80 () (tptp.wall @t31)) % 0.38/0.58 (define @t81 () (_ tptp.wall @t32)) % 0.38/0.58 (define @t82 () (tptp.wall @t30)) % 0.38/0.58 (define @t83 () (or @t82 (= @t71 @t30))) % 0.38/0.58 (define @t84 () (= @t30 @t71)) % 0.38/0.58 (define @t85 () (or @t82 @t84)) % 0.38/0.58 (define @t86 () (_ tptp.wall @t28)) % 0.38/0.58 (define @t87 () (@list true false)) % 0.38/0.58 (define @t88 () (not (= @t70 @t31))) % 0.38/0.58 (define @t89 () (forall @t25 (not (= @t33 @t31)))) % 0.38/0.58 (assume @p1 (forall (@list @t1 @t2 @t3) (= (_ (_ tptp.next (_ @t4 @t1)) @t2) (_ (_ tptp.next (_ @t4 @t2)) @t1)))) % 0.38/0.58 (assume @p2 (forall @t5 (= (_ (_ tptp.next (_ @t4 tptp.left)) tptp.right) @t3))) % 0.38/0.58 (assume @p3 (forall @t5 (= (_ (_ tptp.next (_ @t4 tptp.top)) tptp.bottom) @t3))) % 0.38/0.58 (assume @p4 @t19) % 0.38/0.58 (assume @p5 (forall @t18 (=> @t16 (=> @t12 (= @t11 @t7))))) % 0.38/0.58 (assume @p6 (= tptp.c10 (_ (_ tptp.next tptp.c00) tptp.right))) % 0.38/0.58 (assume @p7 @t20) % 0.38/0.58 (assume @p8 (= (_ tptp.wall tptp.c00) false)) % 0.38/0.58 (assume @p9 (= @t21 false)) % 0.38/0.58 (assume @p10 (= @t22 false)) % 0.38/0.58 (assume @p11 (= @t23 tptp.c00)) % 0.38/0.58 (assume @p12 @t27) % 0.38/0.58 (assume @p13 true) % 0.38/0.58 (step @p14 :rule refl :args ((tptp.next @t28 tptp.right))) % 0.38/0.58 (step @p15 :rule refl :args (tptp.right)) % 0.38/0.58 (step @p16 :rule refl :args ((tptp.next @t23 tptp.right))) % 0.38/0.58 (step @p17 :rule refl :args (@t29)) % 0.38/0.58 (step @p18 :rule cong :premises (@p17 @p15) :args (@t30)) % 0.38/0.58 (step @p19 :rule trans :premises (@p18 @p16)) % 0.38/0.58 (step @p20 :rule cong :premises (@p19 @p15) :args (@t31)) % 0.38/0.58 (step @p21 :rule trans :premises (@p20 @p14)) % 0.38/0.58 (step @p22 :rule refl :args (tptp.next)) % 0.38/0.58 (step @p23 :rule ho_cong :premises (@p22 @p19)) % 0.38/0.58 (step @p24 :rule ho_cong :premises (@p23 @p15)) % 0.38/0.58 (step @p25 :rule cong :premises (@p24 @p21) :args ((= (_ (_ tptp.next @t30) tptp.right) @t31))) % 0.38/0.58 (step @p26 :rule symm :premises (@p25)) % 0.38/0.58 (step @p27 :rule refl :args (@t32)) % 0.38/0.58 (step @p28 :rule eq_resolve :premises (@p27 @p26)) % 0.38/0.58 (step @p29 :rule ho_cong :premises (@p22 @p17)) % 0.38/0.58 (step @p30 :rule ho_cong :premises (@p29 @p15)) % 0.38/0.58 (step @p31 :rule cong :premises (@p30 @p19) :args ((= (_ (_ tptp.next @t29) tptp.right) @t30))) % 0.38/0.58 (step @p32 :rule symm :premises (@p31)) % 0.38/0.58 (step @p33 :rule refl :args (@t28)) % 0.38/0.58 (step @p34 :rule eq_resolve :premises (@p33 @p32)) % 0.38/0.58 (step @p35 :rule refl :args (@t23)) % 0.38/0.58 (step @p36 :rule cong :premises (@p35 @p17) :args ((= @t23 @t29))) % 0.38/0.58 (step @p37 :rule symm :premises (@p36)) % 0.38/0.58 (step @p38 :rule eq_resolve :premises (@p35 @p37)) % 0.38/0.58 (step @p39 :rule ho_cong :premises (@p22 @p38)) % 0.38/0.58 (step @p40 :rule ho_cong :premises (@p39 @p15)) % 0.38/0.58 (step @p41 :rule trans :premises (@p40 @p34)) % 0.38/0.58 (step @p42 :rule ho_cong :premises (@p22 @p41)) % 0.38/0.58 (step @p43 :rule ho_cong :premises (@p42 @p15)) % 0.38/0.58 (step @p44 :rule trans :premises (@p43 @p28)) % 0.38/0.58 (step @p45 :rule refl :args (@t33)) % 0.38/0.58 (step @p46 :rule cong :premises (@p45 @p44) :args (@t34)) % 0.38/0.58 (step @p47 :rule cong :premises (@p46) :args (@t35)) % 0.38/0.58 (step @p48 :rule cong :premises (@p47) :args ((forall @t25 @t35))) % 0.38/0.58 (step @p49 :rule eq-symm :args (@t32 @t33)) % 0.38/0.58 (step @p50 :rule cong :premises (@p49) :args (@t36)) % 0.38/0.58 (step @p51 :rule cong :premises (@p50) :args ((forall @t25 @t36))) % 0.38/0.58 (step @p52 :rule trans :premises (@p51 @p48)) % 0.38/0.58 (step @p53 :rule refl :args (@t33)) % 0.38/0.58 (step @p54 :rule refl :args (tptp.right)) % 0.38/0.58 (step @p55 :rule symm :premises (@p11)) % 0.38/0.58 (step @p56 :rule refl :args (tptp.next)) % 0.38/0.58 (step @p57 :rule ho_cong :premises (@p56 @p55)) % 0.38/0.58 (step @p58 :rule ho_cong :premises (@p57 @p54)) % 0.38/0.58 (step @p59 :rule ho_cong :premises (@p56 @p58)) % 0.38/0.58 (step @p60 :rule ho_cong :premises (@p59 @p54)) % 0.38/0.58 (step @p61 :rule ho_cong :premises (@p56 @p6)) % 0.38/0.58 (step @p62 :rule ho_cong :premises (@p61 @p54)) % 0.38/0.58 (step @p63 :rule refl :args (tptp.c20)) % 0.38/0.58 (step @p64 :rule cong :premises (@p63 @p62) :args (@t20)) % 0.38/0.58 (step @p65 :rule eq_resolve :premises (@p7 @p64)) % 0.38/0.58 (step @p66 :rule trans :premises (@p65 @p60)) % 0.38/0.58 (step @p67 :rule cong :premises (@p66 @p53) :args (@t37)) % 0.38/0.58 (step @p68 :rule cong :premises (@p67) :args (@t38)) % 0.38/0.58 (step @p69 :rule cong :premises (@p68) :args (@t39)) % 0.38/0.58 (step @p70 :rule trans :premises (@p69 @p52)) % 0.38/0.58 (step @p71 :rule bool-double-not-elim :args (@t39)) % 0.38/0.58 (step @p72 :rule eq-symm :args (@t33 tptp.c20)) % 0.38/0.58 (step @p73 :rule cong :premises (@p72) :args (@t40)) % 0.38/0.58 (step @p74 :rule cong :premises (@p73) :args ((forall @t25 @t40))) % 0.38/0.58 (step @p75 :rule refl :args (tptp.c20)) % 0.38/0.58 (step @p76 :rule refl :args (@t33)) % 0.38/0.58 (step @p77 :rule refl :args (@t15)) % 0.38/0.58 (step @p78 :rule cong :premises (@p77 @p76) :args ((= @t15 @t33))) % 0.38/0.58 (step @p79 :rule symm :premises (@p78)) % 0.38/0.58 (step @p80 :rule eq_resolve :premises (@p77 @p79)) % 0.38/0.58 (step @p81 :rule cong :premises (@p80 @p75) :args (@t24)) % 0.38/0.58 (step @p82 :rule cong :premises (@p81) :args (@t41)) % 0.38/0.58 (step @p83 :rule cong :premises (@p82) :args (@t42)) % 0.38/0.58 (step @p84 :rule trans :premises (@p83 @p74)) % 0.38/0.58 (step @p85 :rule cong :premises (@p84) :args (@t43)) % 0.38/0.58 (step @p86 :rule exists-elim :args ((= @t26 @t43))) % 0.38/0.58 (step @p87 :rule trans :premises (@p86 @p85)) % 0.38/0.58 (step @p88 :rule cong :premises (@p87) :args (@t27)) % 0.38/0.58 (step @p89 :rule trans :premises (@p88 @p71)) % 0.38/0.58 (step @p90 :rule trans :premises (@p89 @p70)) % 0.38/0.58 (step @p91 :rule eq_resolve :premises (@p12 @p90)) % 0.38/0.58 (step @p92 :rule aci_norm :args ((= (or false @t48 @t47) @t49))) % 0.38/0.58 (step @p93 :rule eq-symm :args (@t44 @t46)) % 0.38/0.58 (step @p94 :rule refl :args (@t48)) % 0.38/0.58 (step @p95 :rule evaluate :args ((not true))) % 0.38/0.58 (step @p96 :rule eq-refl :args (@t33)) % 0.38/0.58 (step @p97 :rule cong :premises (@p96) :args (@t50)) % 0.38/0.58 (step @p98 :rule trans :premises (@p97 @p95)) % 0.38/0.58 (step @p99 :rule nary_cong :premises (@p98 @p94 @p93) :args (@t51)) % 0.38/0.58 (step @p100 :rule trans :premises (@p99 @p92)) % 0.38/0.58 (step @p101 :rule cong :premises (@p100) :args ((forall @t52 @t51))) % 0.38/0.58 (step @p102 :rule quant-var-elim-eq :args ((= (forall @t58 @t57) @t51))) % 0.38/0.58 (step @p103 :rule aci_norm :args ((= @t59 @t57))) % 0.38/0.58 (step @p104 :rule cong :premises (@p103) :args (@t60)) % 0.38/0.58 (step @p105 :rule trans :premises (@p104 @p102)) % 0.38/0.58 (step @p106 :rule cong :premises (@p105) :args (@t61)) % 0.38/0.58 (step @p107 :rule quant-merge-prenex :args ((= @t61 @t62))) % 0.38/0.58 (step @p108 :rule symm :premises (@p107)) % 0.38/0.58 (step @p109 :rule quant_var_reordering :args ((= (forall @t18 @t59) @t62))) % 0.38/0.58 (step @p110 :rule trans :premises (@p109 @p108 @p106)) % 0.38/0.58 (step @p111 :rule trans :premises (@p110 @p101)) % 0.38/0.58 (step @p112 :rule refl :args ((tptp.playerpos @t10))) % 0.38/0.58 (step @p113 :rule refl :args (@t45)) % 0.38/0.58 (step @p114 :rule cong :premises (@p113) :args (@t46)) % 0.38/0.58 (step @p115 :rule trans :premises (@p114 @p112)) % 0.38/0.58 (step @p116 :rule refl :args (tptp.playerpos)) % 0.38/0.58 (step @p117 :rule ho_cong :premises (@p116 @p113)) % 0.38/0.58 (step @p118 :rule cong :premises (@p117 @p115) :args ((= (_ tptp.playerpos @t45) @t46))) % 0.38/0.58 (step @p119 :rule symm :premises (@p118)) % 0.38/0.58 (step @p120 :rule refl :args (@t11)) % 0.38/0.58 (step @p121 :rule eq_resolve :premises (@p120 @p119)) % 0.38/0.58 (step @p122 :rule refl :args (@t10)) % 0.38/0.58 (step @p123 :rule cong :premises (@p122 @p113) :args ((= @t10 @t45))) % 0.38/0.58 (step @p124 :rule symm :premises (@p123)) % 0.38/0.58 (step @p125 :rule eq_resolve :premises (@p122 @p124)) % 0.38/0.58 (step @p126 :rule ho_cong :premises (@p116 @p125)) % 0.38/0.58 (step @p127 :rule trans :premises (@p126 @p121)) % 0.38/0.58 (step @p128 :rule refl :args (@t53)) % 0.38/0.58 (step @p129 :rule refl :args (@t8)) % 0.38/0.58 (step @p130 :rule cong :premises (@p129 @p128) :args ((= @t8 @t53))) % 0.38/0.58 (step @p131 :rule symm :premises (@p130)) % 0.38/0.58 (step @p132 :rule eq_resolve :premises (@p129 @p131)) % 0.38/0.58 (step @p133 :rule cong :premises (@p132 @p127) :args (@t63)) % 0.38/0.58 (step @p134 :rule refl :args ((tptp.wall @t8))) % 0.38/0.58 (step @p135 :rule cong :premises (@p128) :args (@t55)) % 0.38/0.58 (step @p136 :rule trans :premises (@p135 @p134)) % 0.38/0.58 (step @p137 :rule refl :args (tptp.wall)) % 0.38/0.58 (step @p138 :rule ho_cong :premises (@p137 @p128)) % 0.38/0.58 (step @p139 :rule cong :premises (@p138 @p136) :args ((= (_ tptp.wall @t53) @t55))) % 0.38/0.58 (step @p140 :rule symm :premises (@p139)) % 0.38/0.58 (step @p141 :rule refl :args (@t12)) % 0.38/0.58 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 0.38/0.58 (step @p143 :rule ho_cong :premises (@p137 @p132)) % 0.38/0.58 (step @p144 :rule trans :premises (@p143 @p142)) % 0.38/0.58 (step @p145 :rule refl :args (@t7)) % 0.38/0.58 (step @p146 :rule cong :premises (@p145 @p80) :args (@t64)) % 0.38/0.58 (step @p147 :rule cong :premises (@p146) :args (@t65)) % 0.38/0.58 (step @p148 :rule nary_cong :premises (@p147 @p144 @p133) :args (@t66)) % 0.38/0.58 (step @p149 :rule cong :premises (@p148) :args ((forall @t18 @t66))) % 0.38/0.58 (step @p150 :rule trans :premises (@p149 @p111)) % 0.38/0.58 (step @p151 :rule aci_norm :args ((= (or @t65 (or @t12 @t63)) @t66))) % 0.38/0.58 (step @p152 :rule refl :args (@t63)) % 0.38/0.58 (step @p153 :rule bool-double-not-elim :args (@t12)) % 0.38/0.58 (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((or (not @t13) @t63))) % 0.38/0.58 (step @p155 :rule bool-impl-elim :args (@t13 @t63)) % 0.38/0.58 (step @p156 :rule trans :premises (@p155 @p154)) % 0.38/0.58 (step @p157 :rule refl :args (@t65)) % 0.38/0.58 (step @p158 :rule nary_cong :premises (@p157 @p156) :args ((or @t65 @t67))) % 0.38/0.58 (step @p159 :rule trans :premises (@p158 @p151)) % 0.38/0.58 (step @p160 :rule bool-impl-elim :args (@t64 @t67)) % 0.38/0.58 (step @p161 :rule trans :premises (@p160 @p159)) % 0.38/0.58 (step @p162 :rule cong :premises (@p161) :args ((forall @t18 (=> @t64 @t67)))) % 0.38/0.58 (step @p163 :rule trans :premises (@p162 @p150)) % 0.38/0.58 (step @p164 :rule eq-symm :args (@t11 @t8)) % 0.38/0.58 (step @p165 :rule refl :args (@t13)) % 0.38/0.58 (step @p166 :rule cong :premises (@p165 @p164) :args (@t14)) % 0.38/0.58 (step @p167 :rule eq-symm :args (@t15 @t7)) % 0.38/0.58 (step @p168 :rule cong :premises (@p167 @p166) :args (@t17)) % 0.38/0.58 (step @p169 :rule cong :premises (@p168) :args (@t19)) % 0.38/0.58 (step @p170 :rule trans :premises (@p169 @p163)) % 0.38/0.58 (step @p171 :rule eq_resolve :premises (@p4 @p170)) % 0.38/0.58 (step @p172 :rule eq-symm :args (@t70 @t72)) % 0.38/0.58 (step @p173 :rule refl :args (@t73)) % 0.38/0.58 (step @p174 :rule nary_cong :premises (@p173 @p172) :args (@t74)) % 0.38/0.58 (step @p175 :rule refl :args (@t75)) % 0.38/0.58 (step @p176 :rule cong :premises (@p175 @p174) :args ((=> @t75 @t74))) % 0.38/0.58 (assume-push @p260 @t75) % 0.38/0.58 (step @p178 :rule instantiate :premises (@p171) :args ((@list @t68 tptp.right))) % 0.38/0.58 (step-pop @p261 :rule scope :premises (@p178)) % 0.38/0.58 (step @p179 :rule process_scope :premises (@p261) :args (@t74)) % 0.38/0.58 (step @p181 :rule eq_resolve :premises (@p179 @p176)) % 0.38/0.58 (step @p182 :rule implies_elim :premises (@p181)) % 0.38/0.58 (step @p183 :rule chain_m_resolution :premises (@p182 @p171) :args (@t77 @t78 @t79)) % 0.38/0.58 (step @p184 :rule refl :args ((tptp.wall @t32))) % 0.38/0.58 (step @p185 :rule cong :premises (@p21) :args (@t80)) % 0.38/0.58 (step @p186 :rule trans :premises (@p185 @p184)) % 0.38/0.58 (step @p187 :rule ho_cong :premises (@p137 @p21)) % 0.38/0.58 (step @p188 :rule cong :premises (@p187 @p186) :args ((= (_ tptp.wall @t31) @t80))) % 0.38/0.58 (step @p189 :rule symm :premises (@p188)) % 0.38/0.58 (step @p190 :rule refl :args (@t81)) % 0.38/0.58 (step @p191 :rule eq_resolve :premises (@p190 @p189)) % 0.38/0.58 (step @p192 :rule ho_cong :premises (@p56 @p38)) % 0.38/0.58 (step @p193 :rule ho_cong :premises (@p192 @p54)) % 0.38/0.58 (step @p194 :rule trans :premises (@p193 @p34)) % 0.38/0.58 (step @p195 :rule ho_cong :premises (@p56 @p194)) % 0.38/0.58 (step @p196 :rule ho_cong :premises (@p195 @p54)) % 0.38/0.58 (step @p197 :rule trans :premises (@p196 @p28)) % 0.38/0.58 (step @p198 :rule refl :args (tptp.wall)) % 0.38/0.58 (step @p199 :rule ho_cong :premises (@p198 @p197)) % 0.38/0.58 (step @p200 :rule trans :premises (@p199 @p191)) % 0.38/0.58 (step @p201 :rule cong :premises (@p200) :args ((not @t81))) % 0.38/0.58 (step @p202 :rule ho_cong :premises (@p198 @p66)) % 0.38/0.58 (step @p203 :rule cong :premises (@p202) :args ((not @t22))) % 0.38/0.58 (step @p204 :rule bool-eq-false :args (@t22)) % 0.38/0.58 (step @p205 :rule trans :premises (@p204 @p203 @p201)) % 0.38/0.58 (step @p206 :rule eq_resolve :premises (@p10 @p205)) % 0.38/0.58 (step @p207 :rule false_intro :premises (@p206)) % 0.38/0.58 (step @p208 :rule eq-symm :args (@t71 @t30)) % 0.38/0.58 (step @p209 :rule refl :args (@t82)) % 0.38/0.58 (step @p210 :rule nary_cong :premises (@p209 @p208) :args (@t83)) % 0.38/0.58 (step @p211 :rule cong :premises (@p175 @p210) :args ((=> @t75 @t83))) % 0.38/0.58 (assume-push @p262 @t75) % 0.38/0.58 (step @p213 :rule instantiate :premises (@p171) :args ((@list tptp.nomove tptp.right))) % 0.38/0.58 (step-pop @p263 :rule scope :premises (@p213)) % 0.38/0.58 (step @p214 :rule process_scope :premises (@p263) :args (@t83)) % 0.38/0.58 (step @p216 :rule eq_resolve :premises (@p214 @p211)) % 0.38/0.58 (step @p217 :rule implies_elim :premises (@p216)) % 0.38/0.58 (step @p218 :rule chain_m_resolution :premises (@p217 @p171) :args (@t85 @t78 @t79)) % 0.38/0.58 (step @p219 :rule refl :args ((tptp.wall @t28))) % 0.38/0.58 (step @p220 :rule cong :premises (@p19) :args (@t82)) % 0.38/0.58 (step @p221 :rule trans :premises (@p220 @p219)) % 0.38/0.58 (step @p222 :rule ho_cong :premises (@p137 @p19)) % 0.38/0.58 (step @p223 :rule cong :premises (@p222 @p221) :args ((= (_ tptp.wall @t30) @t82))) % 0.38/0.58 (step @p224 :rule symm :premises (@p223)) % 0.38/0.58 (step @p225 :rule refl :args (@t86)) % 0.38/0.58 (step @p226 :rule eq_resolve :premises (@p225 @p224)) % 0.38/0.58 (step @p227 :rule ho_cong :premises (@p198 @p194)) % 0.38/0.58 (step @p228 :rule trans :premises (@p227 @p226)) % 0.38/0.58 (step @p229 :rule cong :premises (@p228) :args ((not @t86))) % 0.38/0.58 (step @p230 :rule trans :premises (@p6 @p58)) % 0.38/0.58 (step @p231 :rule ho_cong :premises (@p198 @p230)) % 0.38/0.58 (step @p232 :rule cong :premises (@p231) :args ((not @t21))) % 0.38/0.58 (step @p233 :rule bool-eq-false :args (@t21)) % 0.38/0.58 (step @p234 :rule trans :premises (@p233 @p232 @p229)) % 0.38/0.58 (step @p235 :rule eq_resolve :premises (@p9 @p234)) % 0.38/0.58 (step @p236 :rule cnf_or_pos :args (@t85)) % 0.38/0.59 (step @p237 :rule reordering :premises (@p236) :args ((or @t82 @t84 (not @t85)))) % 0.38/0.59 (step @p238 :rule chain_m_resolution :premises (@p237 @p235 @p218) :args (@t84 @t87 (@list @t82 @t85))) % 0.38/0.59 (step @p239 :rule symm :premises (@p238)) % 0.38/0.59 (step @p240 :rule cong :premises (@p239 @p54) :args (@t72)) % 0.38/0.59 (step @p241 :rule cong :premises (@p240) :args (@t73)) % 0.38/0.59 (step @p242 :rule trans :premises (@p241 @p207)) % 0.38/0.59 (step @p243 :rule false_elim :premises (@p242)) % 0.38/0.59 (step @p244 :rule cnf_or_pos :args (@t77)) % 0.38/0.59 (step @p245 :rule reordering :premises (@p244) :args ((or @t73 @t76 (not @t77)))) % 0.38/0.59 (step @p246 :rule chain_m_resolution :premises (@p245 @p243 @p183) :args (@t76 @t87 (@list @t73 @t77))) % 0.38/0.59 (step @p247 :rule cong :premises (@p238 @p54) :args (@t31)) % 0.38/0.59 (step @p248 :rule trans :premises (@p247 @p246)) % 0.38/0.59 (step @p249 :rule eq-symm :args (@t70 @t31)) % 0.38/0.59 (step @p250 :rule cong :premises (@p249) :args (@t88)) % 0.38/0.59 (step @p251 :rule refl :args (@t89)) % 0.38/0.59 (step @p252 :rule cong :premises (@p251 @p250) :args ((=> @t89 @t88))) % 0.38/0.59 (assume-push @p264 @t89) % 0.38/0.59 (step @p254 :rule instantiate :premises (@p91) :args ((@list @t69))) % 0.38/0.59 (step-pop @p265 :rule scope :premises (@p254)) % 0.38/0.59 (step @p255 :rule process_scope :premises (@p265) :args (@t88)) % 0.38/0.59 (step @p257 :rule eq_resolve :premises (@p255 @p252)) % 0.38/0.59 (step @p258 :rule implies_elim :premises (@p257)) % 0.38/0.59 (step @p259 false :rule chain_m_resolution :premises (@p258 @p248 @p91) :args (false (@list false false) (@list (= @t31 @t70) @t89))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------