%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL731^5 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:23:43 AM UTC 2026 % Result : Theorem 0.63s 1.01s % Output : Proof 0.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL731^5 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.11/0.36 % Computer : n014.cluster.edu % 0.11/0.36 % Model : x86_64 x86_64 % 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.36 % Memory : 8046.5625MB % 0.11/0.36 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Fri Sep 4 21:56:42 UTC 2026 % 0.11/0.37 % CPUTime : % 0.14/0.43 %----Proving TH0 % 0.63/1.01 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.63/1.01 % SZS status Theorem % 0.63/1.01 % SZS output start Proof % 0.63/1.01 ( % 0.63/1.01 (declare-sort tptp.a 0) % 0.63/1.01 (define @t1 () (@var "X" (-> tptp.a Bool))) % 0.63/1.01 (define @t2 () (@var "Xf" (-> (-> tptp.a Bool) tptp.a))) % 0.63/1.01 (define @t3 () (_ @t2 @t1)) % 0.63/1.01 (define @t4 () (_ @t1 @t3)) % 0.63/1.01 (define @t5 () (@var "Xs" (-> (-> tptp.a Bool) Bool))) % 0.63/1.01 (define @t6 () (_ @t5 @t1)) % 0.63/1.01 (define @t7 () (@list @t1)) % 0.63/1.01 (define @t8 () (forall @t7 (=> @t6 @t4))) % 0.63/1.01 (define @t9 () (@list @t2)) % 0.63/1.01 (define @t10 () (exists @t9 @t8)) % 0.63/1.01 (define @t11 () (@var "Xt" tptp.a)) % 0.63/1.01 (define @t12 () (_ @t1 @t11)) % 0.63/1.01 (define @t13 () (@list @t11)) % 0.63/1.01 (define @t14 () (exists @t13 @t12)) % 0.63/1.01 (define @t15 () (=> @t6 @t14)) % 0.63/1.01 (define @t16 () (forall @t7 @t15)) % 0.63/1.01 (define @t17 () (=> @t16 @t10)) % 0.63/1.01 (define @t18 () (@list @t5)) % 0.63/1.01 (define @t19 () (forall @t18 @t17)) % 0.63/1.01 (define @t20 () (=> @t14 @t4)) % 0.63/1.01 (define @t21 () (forall @t7 @t20)) % 0.63/1.01 (define @t22 () (exists @t9 @t21)) % 0.63/1.01 (define @t23 () (= @t22 @t19)) % 0.63/1.01 (define @t24 () (not @t23)) % 0.63/1.01 (define @t25 () (_ @t2 @t1)) % 0.63/1.01 (define @t26 () (_ @t1 @t25)) % 0.63/1.01 (define @t27 () (_ @t5 @t1)) % 0.63/1.01 (define @t28 () (not @t27)) % 0.63/1.01 (define @t29 () (forall @t7 (or @t28 @t26))) % 0.63/1.01 (define @t30 () (not (forall @t9 (not @t29)))) % 0.63/1.01 (define @t31 () (_ @t1 @t11)) % 0.63/1.01 (define @t32 () (forall @t13 (not @t31))) % 0.63/1.01 (define @t33 () (not @t32)) % 0.63/1.01 (define @t34 () (forall @t7 (or @t28 @t33))) % 0.63/1.01 (define @t35 () (forall @t18 (or (not @t34) @t30))) % 0.63/1.01 (define @t36 () (not @t35)) % 0.63/1.01 (define @t37 () (@var "BOUND_VARIABLE_7451" tptp.a)) % 0.63/1.01 (define @t38 () (not (_ @t1 @t37))) % 0.63/1.01 (define @t39 () (or @t38 @t26)) % 0.63/1.01 (define @t40 () (@list @t1 @t37)) % 0.63/1.01 (define @t41 () (forall @t40 @t39)) % 0.63/1.01 (define @t42 () (forall @t9 (not @t41))) % 0.63/1.01 (define @t43 () (not @t42)) % 0.63/1.01 (define @t44 () (not @t43)) % 0.63/1.01 (define @t45 () (not @t6)) % 0.63/1.01 (define @t46 () (or @t45 @t4)) % 0.63/1.01 (define @t47 () (or @t45 @t33)) % 0.63/1.01 (define @t48 () (not @t12)) % 0.63/1.01 (define @t49 () (forall @t13 @t48)) % 0.63/1.01 (define @t50 () (not @t49)) % 0.63/1.01 (define @t51 () (@list @t37)) % 0.63/1.01 (define @t52 () (forall @t51 @t39)) % 0.63/1.01 (define @t53 () (forall @t51 @t38)) % 0.63/1.01 (define @t54 () (or @t53 @t26)) % 0.63/1.01 (define @t55 () (or @t32 @t4)) % 0.63/1.01 (define @t56 () (@quantifiers_skolemize @t42 0)) % 0.63/1.01 (define @t57 () (_ @t56 @t1)) % 0.63/1.01 (define @t58 () (_ @t1 @t57)) % 0.63/1.01 (define @t59 () (forall @t40 (or @t38 @t58))) % 0.63/1.01 (define @t60 () (not (not @t59))) % 0.63/1.01 (define @t61 () (@quantifiers_skolemize @t35 0)) % 0.63/1.01 (define @t62 () (not (_ @t61 @t1))) % 0.63/1.01 (define @t63 () (forall @t9 (not (forall @t7 (or @t62 @t26))))) % 0.63/1.01 (define @t64 () (not @t63)) % 0.63/1.01 (define @t65 () (forall @t7 (or @t62 @t33))) % 0.63/1.01 (define @t66 () (not @t65)) % 0.63/1.01 (define @t67 () (or @t66 @t64)) % 0.63/1.01 (define @t68 () (not @t67)) % 0.63/1.01 (define @t69 () (forall @t7 (or @t62 @t58))) % 0.63/1.01 (define @t70 () (@quantifiers_skolemize @t69 0)) % 0.63/1.01 (define @t71 () (forall @t13 (not (_ @t70 @t11)))) % 0.63/1.01 (define @t72 () (not @t71)) % 0.63/1.01 (define @t73 () (_ @t61 @t70)) % 0.63/1.01 (define @t74 () (not @t73)) % 0.63/1.01 (define @t75 () (or @t74 @t72)) % 0.63/1.01 (define @t76 () (@var "BOUND_VARIABLE_21652" (-> tptp.a Bool))) % 0.63/1.01 (define @t77 () (lambda (@list @t76) (_ @t56 @t76))) % 0.63/1.01 (define @t78 () (_ @t77 @t1)) % 0.63/1.01 (define @t79 () (_ @t1 @t78)) % 0.63/1.01 (define @t80 () (or @t62 @t79)) % 0.63/1.01 (define @t81 () (forall @t7 @t80)) % 0.63/1.01 (define @t82 () (not @t81)) % 0.63/1.01 (define @t83 () (_ @t70 (_ @t56 @t70))) % 0.63/1.01 (define @t84 () (or @t74 @t83)) % 0.63/1.01 (define @t85 () (not @t84)) % 0.63/1.01 (define @t86 () (not @t69)) % 0.63/1.01 (define @t87 () (@quantifiers_skolemize @t71 0)) % 0.63/1.01 (define @t88 () (_ @t70 @t87)) % 0.63/1.01 (define @t89 () (not @t88)) % 0.63/1.01 (define @t90 () (not @t89)) % 0.63/1.01 (define @t91 () (or @t89 @t83)) % 0.63/1.01 (define @t92 () (@const 0 (-> (-> tptp.a Bool) tptp.a))) % 0.63/1.01 (define @t93 () (_ @t92 @t1)) % 0.63/1.01 (define @t94 () (@var "BOUND_VARIABLE_37857" (-> tptp.a Bool))) % 0.63/1.01 (define @t95 () (_ @t92 @t94)) % 0.63/1.01 (define @t96 () (@list @t94)) % 0.63/1.01 (define @t97 () (lambda @t96 @t95)) % 0.63/1.01 (define @t98 () (_ @t97 @t1)) % 0.63/1.01 (define @t99 () (_ @t1 @t98)) % 0.63/1.01 (define @t100 () (or @t38 @t99)) % 0.63/1.01 (define @t101 () (forall @t40 @t100)) % 0.63/1.01 (define @t102 () (not @t101)) % 0.63/1.01 (define @t103 () (forall @t40 (or @t38 (_ @t1 @t93)))) % 0.63/1.01 (define @t104 () (not @t103)) % 0.63/1.01 (define @t105 () (@quantifiers_skolemize @t103 0)) % 0.63/1.01 (define @t106 () (_ @t105 (_ @t92 @t105))) % 0.63/1.01 (define @t107 () (@quantifiers_skolemize @t103 1)) % 0.63/1.01 (define @t108 () (_ @t105 @t107)) % 0.63/1.01 (define @t109 () (not @t108)) % 0.63/1.01 (define @t110 () (or @t109 @t106)) % 0.63/1.01 (define @t111 () (not @t110)) % 0.63/1.01 (define @t112 () (@list true)) % 0.63/1.01 (define @t113 () (@list @t110)) % 0.63/1.01 (define @t114 () (@var "x" tptp.a)) % 0.63/1.01 (define @t115 () (@list @t114)) % 0.63/1.01 (define @t116 () (forall @t115 (not (_ @t105 @t114)))) % 0.63/1.01 (define @t117 () (or @t116 @t106)) % 0.63/1.01 (assume @p1 @t24) % 0.63/1.01 (assume @p2 true) % 0.63/1.01 (step @p3 :rule refl :args (@t36)) % 0.63/1.01 (step @p4 :rule bool-double-not-elim :args (@t42)) % 0.63/1.01 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t44 @t36))) % 0.63/1.01 (step @p6 :rule bool-impl-elim :args (@t34 @t30)) % 0.63/1.01 (step @p7 :rule cong :premises (@p6) :args ((forall @t18 (=> @t34 @t30)))) % 0.63/1.01 (step @p8 :rule exists-elim :args ((= (exists @t9 @t29) @t30))) % 0.63/1.01 (step @p9 :rule refl :args ((_ @t1 @t3))) % 0.63/1.01 (step @p10 :rule refl :args (@t25)) % 0.63/1.01 (step @p11 :rule cong :premises (@p10) :args (@t26)) % 0.63/1.01 (step @p12 :rule trans :premises (@p11 @p9)) % 0.63/1.01 (step @p13 :rule refl :args (@t1)) % 0.63/1.01 (step @p14 :rule ho_cong :premises (@p13 @p10)) % 0.63/1.01 (step @p15 :rule cong :premises (@p14 @p12) :args ((= (_ @t1 @t25) @t26))) % 0.63/1.01 (step @p16 :rule symm :premises (@p15)) % 0.63/1.01 (step @p17 :rule refl :args (@t4)) % 0.63/1.01 (step @p18 :rule eq_resolve :premises (@p17 @p16)) % 0.63/1.01 (step @p19 :rule refl :args (@t3)) % 0.63/1.01 (step @p20 :rule cong :premises (@p19 @p10) :args ((= @t3 @t25))) % 0.63/1.01 (step @p21 :rule symm :premises (@p20)) % 0.63/1.01 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.63/1.01 (step @p23 :rule ho_cong :premises (@p13 @p22)) % 0.63/1.01 (step @p24 :rule trans :premises (@p23 @p18)) % 0.63/1.01 (step @p25 :rule refl :args (@t27)) % 0.63/1.01 (step @p26 :rule refl :args (@t6)) % 0.63/1.01 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t6 @t27))) % 0.63/1.01 (step @p28 :rule symm :premises (@p27)) % 0.63/1.01 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.63/1.01 (step @p30 :rule cong :premises (@p29) :args (@t45)) % 0.63/1.01 (step @p31 :rule nary_cong :premises (@p30 @p24) :args (@t46)) % 0.63/1.01 (step @p32 :rule cong :premises (@p31) :args ((forall @t7 @t46))) % 0.63/1.01 (step @p33 :rule bool-impl-elim :args (@t6 @t4)) % 0.63/1.01 (step @p34 :rule cong :premises (@p33) :args (@t8)) % 0.63/1.01 (step @p35 :rule trans :premises (@p34 @p32)) % 0.63/1.01 (step @p36 :rule cong :premises (@p35) :args (@t10)) % 0.63/1.01 (step @p37 :rule trans :premises (@p36 @p8)) % 0.63/1.01 (step @p38 :rule refl :args (@t33)) % 0.63/1.01 (step @p39 :rule nary_cong :premises (@p30 @p38) :args (@t47)) % 0.63/1.01 (step @p40 :rule cong :premises (@p39) :args ((forall @t7 @t47))) % 0.63/1.01 (step @p41 :rule bool-impl-elim :args (@t6 @t33)) % 0.63/1.01 (step @p42 :rule cong :premises (@p41) :args ((forall @t7 (=> @t6 @t33)))) % 0.63/1.01 (step @p43 :rule trans :premises (@p42 @p40)) % 0.63/1.01 (step @p44 :rule refl :args (@t31)) % 0.63/1.01 (step @p45 :rule refl :args (@t12)) % 0.63/1.01 (step @p46 :rule cong :premises (@p45 @p44) :args ((= @t12 @t31))) % 0.63/1.01 (step @p47 :rule symm :premises (@p46)) % 0.63/1.01 (step @p48 :rule eq_resolve :premises (@p45 @p47)) % 0.63/1.01 (step @p49 :rule cong :premises (@p48) :args (@t48)) % 0.63/1.01 (step @p50 :rule cong :premises (@p49) :args (@t49)) % 0.63/1.01 (step @p51 :rule cong :premises (@p50) :args (@t50)) % 0.63/1.01 (step @p52 :rule exists-elim :args ((= @t14 @t50))) % 0.63/1.01 (step @p53 :rule trans :premises (@p52 @p51)) % 0.63/1.01 (step @p54 :rule refl :args (@t6)) % 0.63/1.01 (step @p55 :rule cong :premises (@p54 @p53) :args (@t15)) % 0.63/1.01 (step @p56 :rule cong :premises (@p55) :args (@t16)) % 0.63/1.01 (step @p57 :rule trans :premises (@p56 @p43)) % 0.63/1.01 (step @p58 :rule cong :premises (@p57 @p37) :args (@t17)) % 0.63/1.01 (step @p59 :rule cong :premises (@p58) :args (@t19)) % 0.63/1.01 (step @p60 :rule trans :premises (@p59 @p7)) % 0.63/1.01 (step @p61 :rule exists-elim :args ((= (exists @t9 @t41) @t43))) % 0.63/1.01 (step @p62 :rule quant-merge-prenex :args ((= (forall @t7 @t52) @t41))) % 0.63/1.01 (step @p63 :rule refl :args (@t26)) % 0.63/1.01 (step @p64 :rule alpha_equiv :args (@t53 (@list @t37) (@list @t11))) % 0.63/1.01 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t54)) % 0.63/1.01 (step @p66 :rule quant-miniscope-or :args ((= @t52 @t54))) % 0.63/1.01 (step @p67 :rule trans :premises (@p66 @p65)) % 0.63/1.01 (step @p68 :rule symm :premises (@p67)) % 0.63/1.01 (step @p69 :rule cong :premises (@p68) :args ((forall @t7 (or @t32 @t26)))) % 0.63/1.01 (step @p70 :rule trans :premises (@p69 @p62)) % 0.63/1.01 (step @p71 :rule refl :args (@t32)) % 0.63/1.01 (step @p72 :rule nary_cong :premises (@p71 @p24) :args (@t55)) % 0.63/1.01 (step @p73 :rule cong :premises (@p72) :args ((forall @t7 @t55))) % 0.63/1.01 (step @p74 :rule trans :premises (@p73 @p70)) % 0.63/1.01 (step @p75 :rule bool-double-not-elim :args (@t32)) % 0.63/1.01 (step @p76 :rule nary_cong :premises (@p75 @p17) :args ((or (not @t33) @t4))) % 0.63/1.01 (step @p77 :rule bool-impl-elim :args (@t33 @t4)) % 0.63/1.01 (step @p78 :rule trans :premises (@p77 @p76)) % 0.63/1.01 (step @p79 :rule cong :premises (@p78) :args ((forall @t7 (=> @t33 @t4)))) % 0.63/1.01 (step @p80 :rule trans :premises (@p79 @p74)) % 0.63/1.01 (step @p81 :rule refl :args (@t4)) % 0.63/1.01 (step @p82 :rule cong :premises (@p53 @p81) :args (@t20)) % 0.63/1.01 (step @p83 :rule cong :premises (@p82) :args (@t21)) % 0.63/1.01 (step @p84 :rule trans :premises (@p83 @p80)) % 0.63/1.01 (step @p85 :rule cong :premises (@p84) :args (@t22)) % 0.63/1.01 (step @p86 :rule trans :premises (@p85 @p61)) % 0.63/1.01 (step @p87 :rule cong :premises (@p86 @p60) :args (@t23)) % 0.63/1.01 (step @p88 :rule cong :premises (@p87) :args (@t24)) % 0.63/1.01 (step @p89 :rule eq_resolve :premises (@p1 @p88)) % 0.63/1.01 (step @p90 :rule not_equiv_elim2 :premises (@p89)) % 0.63/1.01 (step @p91 :rule eq_resolve :premises (@p90 @p5)) % 0.63/1.01 (step @p92 :rule refl :args (@t59)) % 0.63/1.01 (step @p93 :rule nary_cong :premises (@p4 @p92) :args ((or @t44 @t59))) % 0.63/1.01 (step @p94 :rule bool-double-not-elim :args (@t59)) % 0.63/1.01 (step @p95 :rule refl :args (@t43)) % 0.63/1.01 (step @p96 :rule cong :premises (@p95 @p94) :args ((=> @t43 @t60))) % 0.63/1.01 (assume-push @p228 @t43) % 0.63/1.01 (step @p98 :rule skolemize :premises (@p228)) % 0.63/1.01 (step-pop @p229 :rule scope :premises (@p98)) % 0.63/1.01 (step @p99 :rule process_scope :premises (@p229) :args (@t60)) % 0.63/1.01 (step @p101 :rule eq_resolve :premises (@p99 @p96)) % 0.63/1.01 (step @p102 :rule implies_elim :premises (@p101)) % 0.63/1.01 (step @p103 :rule eq_resolve :premises (@p102 @p93)) % 0.63/1.01 (step @p104 :rule refl :args (@t68)) % 0.63/1.01 (step @p105 :rule bool-double-not-elim :args (@t35)) % 0.63/1.01 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or (not @t36) @t68))) % 0.63/1.01 (assume-push @p230 @t36) % 0.63/1.01 (step @p108 :rule skolemize :premises (@p230)) % 0.63/1.01 (step-pop @p231 :rule scope :premises (@p108)) % 0.63/1.01 (step @p109 :rule process_scope :premises (@p231) :args (@t68)) % 0.63/1.01 (step @p111 :rule implies_elim :premises (@p109)) % 0.63/1.01 (step @p112 :rule eq_resolve :premises (@p111 @p106)) % 0.63/1.01 (step @p113 :rule bool-double-not-elim :args (@t65)) % 0.63/1.01 (step @p114 :rule refl :args (@t67)) % 0.63/1.01 (step @p115 :rule nary_cong :premises (@p114 @p113) :args ((or @t67 (not @t66)))) % 0.63/1.01 (step @p116 :rule cnf_or_neg :args (@t67 0)) % 0.63/1.01 (step @p117 :rule eq_resolve :premises (@p116 @p115)) % 0.63/1.01 (step @p118 :rule reordering :premises (@p117) :args ((or @t65 @t67))) % 0.63/1.01 (step @p119 :rule bool-double-not-elim :args (@t63)) % 0.63/1.01 (step @p120 :rule nary_cong :premises (@p114 @p119) :args ((or @t67 (not @t64)))) % 0.63/1.01 (step @p121 :rule cnf_or_neg :args (@t67 1)) % 0.63/1.01 (step @p122 :rule eq_resolve :premises (@p121 @p120)) % 0.63/1.01 (step @p123 :rule reordering :premises (@p122) :args ((or @t63 @t67))) % 0.63/1.01 (assume-push @p232 @t65) % 0.63/1.01 (step @p125 :rule instantiate :premises (@p232) :args ((@list @t70))) % 0.63/1.01 (step-pop @p233 :rule scope :premises (@p125)) % 0.63/1.01 (step @p126 :rule process_scope :premises (@p233) :args (@t75)) % 0.63/1.01 (step @p128 :rule implies_elim :premises (@p126)) % 0.63/1.01 (step @p129 :rule beta-reduce :args ((= @t78 @t57))) % 0.63/1.01 (step @p130 :rule cong :premises (@p129) :args (@t79)) % 0.63/1.01 (step @p131 :rule refl :args (@t62)) % 0.63/1.01 (step @p132 :rule nary_cong :premises (@p131 @p130) :args (@t80)) % 0.63/1.01 (step @p133 :rule cong :premises (@p132) :args (@t81)) % 0.63/1.01 (step @p134 :rule cong :premises (@p133) :args (@t82)) % 0.63/1.01 (step @p135 :rule refl :args (@t63)) % 0.63/1.01 (step @p136 :rule cong :premises (@p135 @p134) :args ((=> @t63 @t82))) % 0.63/1.01 (assume-push @p234 @t63) % 0.63/1.01 (step @p138 :rule instantiate :premises (@p234) :args ((@list @t77))) % 0.63/1.01 (step-pop @p235 :rule scope :premises (@p138)) % 0.63/1.01 (step @p139 :rule process_scope :premises (@p235) :args (@t82)) % 0.63/1.01 (step @p141 :rule eq_resolve :premises (@p139 @p136)) % 0.63/1.01 (step @p142 :rule implies_elim :premises (@p141)) % 0.63/1.01 (step @p143 :rule refl :args (@t85)) % 0.63/1.01 (step @p144 :rule bool-double-not-elim :args (@t69)) % 0.63/1.01 (step @p145 :rule nary_cong :premises (@p144 @p143) :args ((or (not @t86) @t85))) % 0.63/1.01 (assume-push @p236 @t86) % 0.63/1.01 (step @p147 :rule skolemize :premises (@p236)) % 0.63/1.01 (step-pop @p237 :rule scope :premises (@p147)) % 0.63/1.01 (step @p148 :rule process_scope :premises (@p237) :args (@t85)) % 0.63/1.01 (step @p150 :rule implies_elim :premises (@p148)) % 0.63/1.01 (step @p151 :rule eq_resolve :premises (@p150 @p145)) % 0.63/1.01 (step @p152 :rule bool-double-not-elim :args (@t73)) % 0.63/1.01 (step @p153 :rule refl :args (@t84)) % 0.63/1.01 (step @p154 :rule nary_cong :premises (@p153 @p152) :args ((or @t84 (not @t74)))) % 0.63/1.01 (step @p155 :rule cnf_or_neg :args (@t84 0)) % 0.63/1.01 (step @p156 :rule eq_resolve :premises (@p155 @p154)) % 0.63/1.01 (step @p157 :rule reordering :premises (@p156) :args ((or @t73 @t84))) % 0.63/1.01 (step @p158 :rule cnf_or_neg :args (@t84 1)) % 0.63/1.01 (step @p159 :rule cnf_or_pos :args (@t75)) % 0.63/1.01 (step @p160 :rule reordering :premises (@p159) :args ((or @t74 @t72 (not @t75)))) % 0.63/1.01 (step @p161 :rule refl :args (@t88)) % 0.63/1.01 (step @p162 :rule bool-double-not-elim :args (@t71)) % 0.63/1.01 (step @p163 :rule nary_cong :premises (@p162 @p161) :args ((or (not @t72) @t88))) % 0.63/1.01 (step @p164 :rule bool-double-not-elim :args (@t88)) % 0.63/1.01 (step @p165 :rule refl :args (@t72)) % 0.63/1.01 (step @p166 :rule cong :premises (@p165 @p164) :args ((=> @t72 @t90))) % 0.63/1.01 (assume-push @p238 @t72) % 0.63/1.01 (step @p168 :rule skolemize :premises (@p238)) % 0.63/1.01 (step-pop @p239 :rule scope :premises (@p168)) % 0.63/1.01 (step @p169 :rule process_scope :premises (@p239) :args (@t90)) % 0.63/1.01 (step @p171 :rule eq_resolve :premises (@p169 @p166)) % 0.63/1.01 (step @p172 :rule implies_elim :premises (@p171)) % 0.63/1.01 (step @p173 :rule eq_resolve :premises (@p172 @p163)) % 0.63/1.01 (step @p174 :rule cnf_or_pos :args (@t91)) % 0.63/1.01 (step @p175 :rule reordering :premises (@p174) :args ((or @t83 @t89 (not @t91)))) % 0.63/1.01 (assume-push @p240 @t59) % 0.63/1.01 (step @p177 :rule instantiate :premises (@p240) :args ((@list @t70 @t87))) % 0.63/1.01 (step-pop @p241 :rule scope :premises (@p177)) % 0.63/1.01 (step @p178 :rule process_scope :premises (@p241) :args (@t91)) % 0.63/1.01 (step @p180 :rule implies_elim :premises (@p178)) % 0.63/1.01 (step @p181 :rule chain_m_resolution :premises (@p180 @p175 @p173 @p160 @p158 @p157 @p151 @p142 @p128 @p123 @p118 @p112 @p103 @p91) :args (@t42 (@list true false true true false true true false false false true false true) (@list @t91 @t88 @t71 @t83 @t73 @t84 @t69 @t75 @t63 @t65 @t67 @t59 @t35))) % 0.63/1.01 (step @p182 :rule beta-reduce :args ((= @t98 @t93))) % 0.63/1.01 (step @p183 :rule cong :premises (@p182) :args (@t99)) % 0.63/1.01 (step @p184 :rule refl :args (@t38)) % 0.63/1.01 (step @p185 :rule nary_cong :premises (@p184 @p183) :args (@t100)) % 0.63/1.01 (step @p186 :rule cong :premises (@p185) :args (@t101)) % 0.63/1.01 (step @p187 :rule cong :premises (@p186) :args (@t102)) % 0.63/1.01 (step @p188 :rule refl :args (@t42)) % 0.63/1.01 (step @p189 :rule cong :premises (@p188 @p187) :args ((=> @t42 @t102))) % 0.63/1.01 (assume-push @p242 @t42) % 0.63/1.01 (step @p191 :rule instantiate :premises (@p242) :args ((@list @t97))) % 0.63/1.01 (step-pop @p243 :rule scope :premises (@p191)) % 0.63/1.01 (step @p192 :rule process_scope :premises (@p243) :args (@t102)) % 0.63/1.01 (step @p194 :rule eq_resolve :premises (@p192 @p189)) % 0.63/1.01 (step @p195 :rule implies_elim :premises (@p194)) % 0.63/1.01 (step @p196 :rule chain_m_resolution :premises (@p195 @p181) :args (@t104 (@list false) (@list @t42))) % 0.63/1.01 (step @p197 :rule refl :args (@t111)) % 0.63/1.01 (step @p198 :rule bool-double-not-elim :args (@t103)) % 0.63/1.01 (step @p199 :rule nary_cong :premises (@p198 @p197) :args ((or (not @t104) @t111))) % 0.63/1.01 (assume-push @p244 @t104) % 0.63/1.01 (step @p201 :rule skolemize :premises (@p244)) % 0.63/1.01 (step-pop @p245 :rule scope :premises (@p201)) % 0.63/1.01 (step @p202 :rule process_scope :premises (@p245) :args (@t111)) % 0.63/1.01 (step @p204 :rule implies_elim :premises (@p202)) % 0.63/1.02 (step @p205 :rule eq_resolve :premises (@p204 @p199)) % 0.63/1.02 (step @p206 :rule chain_m_resolution :premises (@p205 @p196) :args (@t111 @t112 (@list @t103))) % 0.63/1.02 (step @p207 :rule bool-double-not-elim :args (@t108)) % 0.63/1.02 (step @p208 :rule refl :args (@t110)) % 0.63/1.02 (step @p209 :rule nary_cong :premises (@p208 @p207) :args ((or @t110 (not @t109)))) % 0.63/1.02 (step @p210 :rule cnf_or_neg :args (@t110 0)) % 0.63/1.02 (step @p211 :rule eq_resolve :premises (@p210 @p209)) % 0.63/1.02 (step @p212 :rule reordering :premises (@p211) :args ((or @t108 @t110))) % 0.63/1.02 (step @p213 :rule chain_m_resolution :premises (@p212 @p206) :args (@t108 @t112 @t113)) % 0.63/1.02 ; WARNING: add trust step for TRUST % 0.63/1.02 ; trust TRUST THEORY_LEMMA % 0.63/1.02 (step @p214 :rule trust :premises () :args ((forall @t96 (or (forall @t115 (not (_ @t94 @t114))) (_ @t94 @t95))))) % 0.63/1.02 (step @p215 :rule instantiate :premises (@p214) :args ((@list @t105))) % 0.63/1.02 (step @p216 :rule cnf_or_neg :args (@t110 1)) % 0.63/1.02 (step @p217 :rule chain_m_resolution :premises (@p216 @p206) :args ((not @t106) @t112 @t113)) % 0.63/1.02 (step @p218 :rule cnf_or_pos :args (@t117)) % 0.63/1.02 (step @p219 :rule reordering :premises (@p218) :args ((or @t106 @t116 (not @t117)))) % 0.63/1.02 (step @p220 :rule chain_m_resolution :premises (@p219 @p217 @p215) :args (@t116 (@list true false) (@list @t106 @t117))) % 0.63/1.02 (assume-push @p246 @t116) % 0.63/1.02 (step @p222 :rule instantiate :premises (@p246) :args ((@list @t107))) % 0.63/1.02 (step-pop @p247 :rule scope :premises (@p222)) % 0.63/1.02 (step @p223 :rule process_scope :premises (@p247) :args (@t109)) % 0.63/1.02 (step @p225 :rule implies_elim :premises (@p223)) % 0.63/1.02 (step @p226 :rule reordering :premises (@p225) :args ((or @t109 (not @t116)))) % 0.63/1.02 (step @p227 false :rule chain_m_resolution :premises (@p226 @p220 @p213) :args (false (@list false false) (@list @t116 @t108))) % 0.63/1.02 ) % 0.63/1.02 % SZS output end Proof % 0.63/1.02 % cvc5 exiting %------------------------------------------------------------------------------