%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ081^2 : TPTP v9.2.1. Bugfixed v7.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:44:10 AM UTC 2026 % Result : Theorem 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ081^2 : TPTP v9.2.1. Bugfixed v7.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 13:18:50 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.36/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.56 % SZS status Theorem % 0.36/0.56 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (declare-sort $$unsorted 0) % 0.36/0.56 (declare-const tptp.zoey $$unsorted) % 0.36/0.56 (declare-const tptp.mel $$unsorted) % 0.36/0.56 (declare-const tptp.says (-> $$unsorted Bool Bool)) % 0.36/0.56 (declare-const tptp.knight (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.knave (-> $$unsorted Bool)) % 0.36/0.56 (define @t1 () (@var "P" $$unsorted)) % 0.36/0.56 (define @t2 () (_ tptp.knave @t1)) % 0.36/0.56 (define @t3 () (_ tptp.knight @t1)) % 0.36/0.56 (define @t4 () (@list @t1)) % 0.36/0.56 (define @t5 () (forall @t4 (xor @t3 @t2))) % 0.36/0.56 (define @t6 () (@var "S" Bool)) % 0.36/0.56 (define @t7 () (_ (_ tptp.says @t1) @t6)) % 0.36/0.56 (define @t8 () (@list @t1 @t6)) % 0.36/0.56 (define @t9 () (_ tptp.knave tptp.mel)) % 0.36/0.56 (define @t10 () (@var "TM" (-> $$unsorted Bool))) % 0.36/0.56 (define @t11 () (_ @t10 tptp.mel)) % 0.36/0.56 (define @t12 () (@var "TZ" (-> $$unsorted Bool))) % 0.36/0.56 (define @t13 () (_ @t12 tptp.zoey)) % 0.36/0.56 (define @t14 () (or (= @t10 tptp.knight) (= @t10 tptp.knave))) % 0.36/0.56 (define @t15 () (or (= @t12 tptp.knight) (= @t12 tptp.knave))) % 0.36/0.56 (define @t16 () (and @t15 @t14 @t13 @t11)) % 0.36/0.56 (define @t17 () (@list @t12 @t10)) % 0.36/0.56 (define @t18 () (exists @t17 @t16)) % 0.36/0.56 (define @t19 () (not @t18)) % 0.36/0.56 (define @t20 () (tptp.knight @t1)) % 0.36/0.56 (define @t21 () (not @t3)) % 0.36/0.56 (define @t22 () (tptp.knave @t1)) % 0.36/0.56 (define @t23 () (= @t2 @t21)) % 0.36/0.56 (define @t24 () (tptp.knave tptp.zoey)) % 0.36/0.56 (define @t25 () (not @t24)) % 0.36/0.56 (define @t26 () (tptp.knight tptp.zoey)) % 0.36/0.56 (define @t27 () (not @t26)) % 0.36/0.56 (define @t28 () (and @t27 @t25)) % 0.36/0.56 (define @t29 () (not @t28)) % 0.36/0.56 (define @t30 () (forall @t4 (= @t22 (not @t20)))) % 0.36/0.56 (define @t31 () (= @t24 @t27)) % 0.36/0.56 (define @t32 () (= @t27 @t24)) % 0.36/0.56 (define @t33 () (@list false)) % 0.36/0.56 (define @t34 () (not @t32)) % 0.36/0.56 (define @t35 () (tptp.knave tptp.mel)) % 0.36/0.56 (define @t36 () (not @t35)) % 0.36/0.56 (define @t37 () (tptp.knight tptp.mel)) % 0.36/0.56 (define @t38 () (not @t37)) % 0.36/0.56 (define @t39 () (and @t38 @t36)) % 0.36/0.56 (define @t40 () (not (= tptp.knave tptp.knave))) % 0.36/0.56 (define @t41 () (or @t40 @t36)) % 0.36/0.56 (define @t42 () (@var "BOUND_VARIABLE_7584" (-> $$unsorted Bool))) % 0.36/0.56 (define @t43 () (not (_ @t42 tptp.mel))) % 0.36/0.56 (define @t44 () (not (= tptp.knave @t42))) % 0.36/0.56 (define @t45 () (@list @t42)) % 0.36/0.56 (define @t46 () (or @t44 @t44 @t43)) % 0.36/0.56 (define @t47 () (or @t44 @t43)) % 0.36/0.56 (define @t48 () (forall @t45 @t47)) % 0.36/0.56 (define @t49 () (not (= tptp.knight tptp.knight))) % 0.36/0.56 (define @t50 () (or @t49 @t38)) % 0.36/0.56 (define @t51 () (@var "BOUND_VARIABLE_7575" (-> $$unsorted Bool))) % 0.36/0.56 (define @t52 () (not (_ @t51 tptp.mel))) % 0.36/0.56 (define @t53 () (not (= tptp.knight @t51))) % 0.36/0.56 (define @t54 () (@list @t51)) % 0.36/0.56 (define @t55 () (or @t53 @t53 @t52)) % 0.36/0.56 (define @t56 () (or @t53 @t52)) % 0.36/0.56 (define @t57 () (forall @t54 @t56)) % 0.36/0.56 (define @t58 () (_ @t10 tptp.mel)) % 0.36/0.56 (define @t59 () (not @t58)) % 0.36/0.56 (define @t60 () (= tptp.knave @t10)) % 0.36/0.56 (define @t61 () (not @t60)) % 0.36/0.56 (define @t62 () (or @t61 @t59)) % 0.36/0.56 (define @t63 () (@list @t10)) % 0.36/0.56 (define @t64 () (forall @t63 @t62)) % 0.36/0.56 (define @t65 () (@list @t10)) % 0.36/0.56 (define @t66 () (= tptp.knight @t10)) % 0.36/0.56 (define @t67 () (not @t66)) % 0.36/0.56 (define @t68 () (or @t67 @t59)) % 0.36/0.56 (define @t69 () (forall @t63 @t68)) % 0.36/0.56 (define @t70 () (and @t69 @t64)) % 0.36/0.56 (define @t71 () (and @t67 @t61)) % 0.36/0.56 (define @t72 () (not @t11)) % 0.36/0.56 (define @t73 () (or @t71 @t72)) % 0.36/0.56 (define @t74 () (forall @t63 @t73)) % 0.36/0.56 (define @t75 () (or @t40 @t25)) % 0.36/0.56 (define @t76 () (@var "BOUND_VARIABLE_7544" (-> $$unsorted Bool))) % 0.36/0.56 (define @t77 () (not (_ @t76 tptp.zoey))) % 0.36/0.56 (define @t78 () (not (= tptp.knave @t76))) % 0.36/0.56 (define @t79 () (@list @t76)) % 0.36/0.56 (define @t80 () (or @t78 @t78 @t77)) % 0.36/0.56 (define @t81 () (or @t78 @t77)) % 0.36/0.56 (define @t82 () (forall @t79 @t81)) % 0.36/0.56 (define @t83 () (or @t49 @t27)) % 0.36/0.56 (define @t84 () (@var "BOUND_VARIABLE_7535" (-> $$unsorted Bool))) % 0.36/0.56 (define @t85 () (not (_ @t84 tptp.zoey))) % 0.36/0.56 (define @t86 () (not (= tptp.knight @t84))) % 0.36/0.56 (define @t87 () (@list @t84)) % 0.36/0.56 (define @t88 () (or @t86 @t86 @t85)) % 0.36/0.56 (define @t89 () (or @t86 @t85)) % 0.36/0.56 (define @t90 () (forall @t87 @t89)) % 0.36/0.56 (define @t91 () (_ @t12 tptp.zoey)) % 0.36/0.56 (define @t92 () (not @t91)) % 0.36/0.56 (define @t93 () (= tptp.knave @t12)) % 0.36/0.56 (define @t94 () (not @t93)) % 0.36/0.56 (define @t95 () (or @t94 @t92)) % 0.36/0.56 (define @t96 () (@list @t12)) % 0.36/0.56 (define @t97 () (forall @t96 @t95)) % 0.36/0.56 (define @t98 () (@list @t12)) % 0.36/0.56 (define @t99 () (= tptp.knight @t12)) % 0.36/0.56 (define @t100 () (not @t99)) % 0.36/0.56 (define @t101 () (or @t100 @t92)) % 0.36/0.56 (define @t102 () (forall @t96 @t101)) % 0.36/0.56 (define @t103 () (and @t102 @t97)) % 0.36/0.56 (define @t104 () (and @t100 @t94)) % 0.36/0.56 (define @t105 () (not @t13)) % 0.36/0.56 (define @t106 () (or @t104 @t105)) % 0.36/0.56 (define @t107 () (forall @t96 @t106)) % 0.36/0.56 (define @t108 () (or @t107 @t74)) % 0.36/0.56 (define @t109 () (or @t106 @t73)) % 0.36/0.56 (define @t110 () (or @t104 @t71 @t105 @t72)) % 0.36/0.56 (define @t111 () (or @t66 @t60)) % 0.36/0.56 (define @t112 () (not @t111)) % 0.36/0.56 (define @t113 () (or @t99 @t93)) % 0.36/0.56 (define @t114 () (not @t113)) % 0.36/0.56 (define @t115 () (or @t114 @t112 @t105 @t72)) % 0.36/0.56 (define @t116 () (and @t113 @t111 @t13 @t11)) % 0.36/0.56 (define @t117 () (forall @t17 (not @t116))) % 0.36/0.56 (define @t118 () (not @t117)) % 0.36/0.56 (define @t119 () (not @t39)) % 0.36/0.56 (define @t120 () (@list @t39)) % 0.36/0.56 (define @t121 () (= @t38 @t35)) % 0.36/0.56 (define @t122 () (not @t121)) % 0.36/0.56 (define @t123 () (= @t35 @t38)) % 0.36/0.56 (assume @p1 @t5) % 0.36/0.56 (assume @p2 (forall @t8 (=> (and @t3 @t7) @t6))) % 0.36/0.56 (assume @p3 (forall @t8 (=> (and @t2 @t7) (not @t6)))) % 0.36/0.56 (assume @p4 (_ (_ tptp.says tptp.zoey) @t9)) % 0.36/0.56 (assume @p5 (_ (_ tptp.says tptp.mel) (and (not (_ tptp.knave tptp.zoey)) (not @t9)))) % 0.36/0.56 (assume @p6 @t19) % 0.36/0.56 (assume @p7 true) % 0.36/0.56 (step @p8 :rule refl :args (@t20)) % 0.36/0.56 (step @p9 :rule refl :args (@t3)) % 0.36/0.56 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t3 @t20))) % 0.36/0.56 (step @p11 :rule symm :premises (@p10)) % 0.36/0.56 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.36/0.56 (step @p13 :rule cong :premises (@p12) :args (@t21)) % 0.36/0.56 (step @p14 :rule refl :args (@t22)) % 0.36/0.56 (step @p15 :rule refl :args (@t2)) % 0.36/0.56 (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t2 @t22))) % 0.36/0.56 (step @p17 :rule symm :premises (@p16)) % 0.36/0.56 (step @p18 :rule eq_resolve :premises (@p15 @p17)) % 0.36/0.56 (step @p19 :rule cong :premises (@p18 @p13) :args (@t23)) % 0.36/0.56 (step @p20 :rule cong :premises (@p19) :args ((forall @t4 @t23))) % 0.36/0.56 (step @p21 :rule eq-symm :args (@t21 @t2)) % 0.36/0.56 (step @p22 :rule cong :premises (@p21) :args ((forall @t4 (= @t21 @t2)))) % 0.36/0.56 (step @p23 :rule trans :premises (@p22 @p20)) % 0.36/0.56 (step @p24 :rule bool-xor-elim :args (@t3 @t2)) % 0.36/0.56 (step @p25 :rule cong :premises (@p24) :args (@t5)) % 0.36/0.56 (step @p26 :rule trans :premises (@p25 @p23)) % 0.36/0.56 (step @p27 :rule eq_resolve :premises (@p1 @p26)) % 0.36/0.56 (step @p28 :rule cnf_and_pos :args (@t28 0)) % 0.36/0.56 (step @p29 :rule reordering :premises (@p28) :args ((or @t27 @t29))) % 0.36/0.56 (step @p30 :rule cnf_and_pos :args (@t28 1)) % 0.36/0.56 (step @p31 :rule reordering :premises (@p30) :args ((or @t25 @t29))) % 0.36/0.56 (step @p32 :rule eq-symm :args (@t24 @t27)) % 0.36/0.56 (step @p33 :rule refl :args (@t30)) % 0.36/0.56 (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t30 @t31))) % 0.36/0.56 (assume-push @p224 @t30) % 0.36/0.56 (step @p36 :rule instantiate :premises (@p27) :args ((@list tptp.zoey))) % 0.36/0.56 (step-pop @p225 :rule scope :premises (@p36)) % 0.36/0.56 (step @p37 :rule process_scope :premises (@p225) :args (@t31)) % 0.36/0.56 (step @p39 :rule eq_resolve :premises (@p37 @p34)) % 0.36/0.56 (step @p40 :rule implies_elim :premises (@p39)) % 0.36/0.56 (step @p41 :rule chain_m_resolution :premises (@p40 @p27) :args (@t32 @t33 (@list @t30))) % 0.36/0.56 (step @p42 :rule refl :args (@t24)) % 0.36/0.56 (step @p43 :rule bool-double-not-elim :args (@t26)) % 0.36/0.56 (step @p44 :rule refl :args (@t34)) % 0.36/0.56 (step @p45 :rule nary_cong :premises (@p44 @p43 @p42) :args ((or @t34 (not @t27) @t24))) % 0.36/0.56 (step @p46 :rule cnf_equiv_pos1 :args (@t32)) % 0.36/0.56 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 0.36/0.56 (step @p48 :rule reordering :premises (@p47) :args ((or @t26 @t24 @t34))) % 0.36/0.56 (step @p49 :rule chain_m_resolution :premises (@p48 @p41 @p31 @p29) :args (@t29 (@list false true true) (@list @t32 @t24 @t26))) % 0.36/0.56 (step @p50 :rule bool-double-not-elim :args ((or @t28 @t39))) % 0.36/0.56 (step @p51 :rule aci_norm :args ((= (or false @t36) @t36))) % 0.36/0.56 (step @p52 :rule refl :args (@t36)) % 0.36/0.56 (step @p53 :rule evaluate :args ((not true))) % 0.36/0.56 (step @p54 :rule eq-refl :args (tptp.knave)) % 0.36/0.56 (step @p55 :rule cong :premises (@p54) :args (@t40)) % 0.36/0.56 (step @p56 :rule trans :premises (@p55 @p53)) % 0.36/0.56 (step @p57 :rule nary_cong :premises (@p56 @p52) :args (@t41)) % 0.36/0.56 (step @p58 :rule trans :premises (@p57 @p51)) % 0.36/0.56 (step @p59 :rule quant-var-elim-eq :args ((= (forall @t45 (or (not (= @t42 tptp.knave)) @t44 @t43)) @t41))) % 0.36/0.56 (step @p60 :rule refl :args (@t43)) % 0.36/0.56 (step @p61 :rule refl :args (@t44)) % 0.36/0.56 (step @p62 :rule eq-symm :args (tptp.knave @t42)) % 0.36/0.56 (step @p63 :rule cong :premises (@p62) :args (@t44)) % 0.36/0.56 (step @p64 :rule nary_cong :premises (@p63 @p61 @p60) :args (@t46)) % 0.36/0.56 (step @p65 :rule aci_norm :args ((= @t47 @t46))) % 0.36/0.56 (step @p66 :rule trans :premises (@p65 @p64)) % 0.36/0.56 (step @p67 :rule cong :premises (@p66) :args (@t48)) % 0.36/0.56 (step @p68 :rule trans :premises (@p67 @p59)) % 0.36/0.56 (step @p69 :rule trans :premises (@p68 @p58)) % 0.36/0.56 (step @p70 :rule aci_norm :args ((= (or false @t38) @t38))) % 0.36/0.56 (step @p71 :rule refl :args (@t38)) % 0.36/0.56 (step @p72 :rule eq-refl :args (tptp.knight)) % 0.36/0.56 (step @p73 :rule cong :premises (@p72) :args (@t49)) % 0.36/0.56 (step @p74 :rule trans :premises (@p73 @p53)) % 0.36/0.56 (step @p75 :rule nary_cong :premises (@p74 @p71) :args (@t50)) % 0.36/0.56 (step @p76 :rule trans :premises (@p75 @p70)) % 0.36/0.56 (step @p77 :rule quant-var-elim-eq :args ((= (forall @t54 (or (not (= @t51 tptp.knight)) @t53 @t52)) @t50))) % 0.36/0.56 (step @p78 :rule refl :args (@t52)) % 0.36/0.56 (step @p79 :rule refl :args (@t53)) % 0.36/0.56 (step @p80 :rule eq-symm :args (tptp.knight @t51)) % 0.36/0.56 (step @p81 :rule cong :premises (@p80) :args (@t53)) % 0.36/0.56 (step @p82 :rule nary_cong :premises (@p81 @p79 @p78) :args (@t55)) % 0.36/0.56 (step @p83 :rule aci_norm :args ((= @t56 @t55))) % 0.36/0.56 (step @p84 :rule trans :premises (@p83 @p82)) % 0.36/0.56 (step @p85 :rule cong :premises (@p84) :args (@t57)) % 0.36/0.56 (step @p86 :rule trans :premises (@p85 @p77)) % 0.36/0.56 (step @p87 :rule trans :premises (@p86 @p76)) % 0.36/0.56 (step @p88 :rule nary_cong :premises (@p87 @p69) :args ((and @t57 @t48))) % 0.36/0.56 (step @p89 :rule alpha_equiv :args (@t64 @t65 (@list @t42))) % 0.36/0.56 (step @p90 :rule alpha_equiv :args (@t69 @t65 (@list @t51))) % 0.36/0.56 (step @p91 :rule nary_cong :premises (@p90 @p89) :args (@t70)) % 0.36/0.56 (step @p92 :rule quant-miniscope-and :args ((= (forall @t63 (and @t68 @t62)) @t70))) % 0.36/0.56 (step @p93 :rule trans :premises (@p92 @p91)) % 0.36/0.56 (step @p94 :rule trans :premises (@p93 @p88)) % 0.36/0.56 (step @p95 :rule bool-or-and-distrib :args (@t67 @t61 true @t59 false)) % 0.36/0.56 (step @p96 :rule cong :premises (@p95) :args ((forall @t63 (or @t71 @t59)))) % 0.36/0.56 (step @p97 :rule trans :premises (@p96 @p94)) % 0.36/0.56 (step @p98 :rule refl :args (@t58)) % 0.36/0.56 (step @p99 :rule refl :args (@t11)) % 0.36/0.56 (step @p100 :rule cong :premises (@p99 @p98) :args ((= @t11 @t58))) % 0.36/0.56 (step @p101 :rule symm :premises (@p100)) % 0.36/0.56 (step @p102 :rule eq_resolve :premises (@p99 @p101)) % 0.36/0.56 (step @p103 :rule cong :premises (@p102) :args (@t72)) % 0.36/0.56 (step @p104 :rule refl :args (@t71)) % 0.36/0.56 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t73)) % 0.36/0.56 (step @p106 :rule cong :premises (@p105) :args (@t74)) % 0.36/0.56 (step @p107 :rule trans :premises (@p106 @p97)) % 0.36/0.56 (step @p108 :rule aci_norm :args ((= (or false @t25) @t25))) % 0.36/0.56 (step @p109 :rule refl :args (@t25)) % 0.36/0.56 (step @p110 :rule nary_cong :premises (@p56 @p109) :args (@t75)) % 0.36/0.56 (step @p111 :rule trans :premises (@p110 @p108)) % 0.36/0.56 (step @p112 :rule quant-var-elim-eq :args ((= (forall @t79 (or (not (= @t76 tptp.knave)) @t78 @t77)) @t75))) % 0.36/0.56 (step @p113 :rule refl :args (@t77)) % 0.36/0.56 (step @p114 :rule refl :args (@t78)) % 0.36/0.56 (step @p115 :rule eq-symm :args (tptp.knave @t76)) % 0.36/0.56 (step @p116 :rule cong :premises (@p115) :args (@t78)) % 0.36/0.56 (step @p117 :rule nary_cong :premises (@p116 @p114 @p113) :args (@t80)) % 0.36/0.56 (step @p118 :rule aci_norm :args ((= @t81 @t80))) % 0.36/0.56 (step @p119 :rule trans :premises (@p118 @p117)) % 0.36/0.56 (step @p120 :rule cong :premises (@p119) :args (@t82)) % 0.36/0.56 (step @p121 :rule trans :premises (@p120 @p112)) % 0.36/0.56 (step @p122 :rule trans :premises (@p121 @p111)) % 0.36/0.56 (step @p123 :rule aci_norm :args ((= (or false @t27) @t27))) % 0.36/0.56 (step @p124 :rule refl :args (@t27)) % 0.36/0.56 (step @p125 :rule nary_cong :premises (@p74 @p124) :args (@t83)) % 0.36/0.56 (step @p126 :rule trans :premises (@p125 @p123)) % 0.36/0.56 (step @p127 :rule quant-var-elim-eq :args ((= (forall @t87 (or (not (= @t84 tptp.knight)) @t86 @t85)) @t83))) % 0.36/0.56 (step @p128 :rule refl :args (@t85)) % 0.36/0.56 (step @p129 :rule refl :args (@t86)) % 0.36/0.56 (step @p130 :rule eq-symm :args (tptp.knight @t84)) % 0.36/0.56 (step @p131 :rule cong :premises (@p130) :args (@t86)) % 0.36/0.56 (step @p132 :rule nary_cong :premises (@p131 @p129 @p128) :args (@t88)) % 0.36/0.56 (step @p133 :rule aci_norm :args ((= @t89 @t88))) % 0.36/0.56 (step @p134 :rule trans :premises (@p133 @p132)) % 0.36/0.56 (step @p135 :rule cong :premises (@p134) :args (@t90)) % 0.36/0.56 (step @p136 :rule trans :premises (@p135 @p127)) % 0.36/0.56 (step @p137 :rule trans :premises (@p136 @p126)) % 0.36/0.56 (step @p138 :rule nary_cong :premises (@p137 @p122) :args ((and @t90 @t82))) % 0.36/0.56 (step @p139 :rule alpha_equiv :args (@t97 @t98 (@list @t76))) % 0.36/0.56 (step @p140 :rule alpha_equiv :args (@t102 @t98 (@list @t84))) % 0.36/0.56 (step @p141 :rule nary_cong :premises (@p140 @p139) :args (@t103)) % 0.36/0.56 (step @p142 :rule quant-miniscope-and :args ((= (forall @t96 (and @t101 @t95)) @t103))) % 0.36/0.56 (step @p143 :rule trans :premises (@p142 @p141)) % 0.36/0.56 (step @p144 :rule trans :premises (@p143 @p138)) % 0.36/0.56 (step @p145 :rule bool-or-and-distrib :args (@t100 @t94 true @t92 false)) % 0.36/0.56 (step @p146 :rule cong :premises (@p145) :args ((forall @t96 (or @t104 @t92)))) % 0.36/0.56 (step @p147 :rule trans :premises (@p146 @p144)) % 0.36/0.56 (step @p148 :rule refl :args (@t91)) % 0.36/0.56 (step @p149 :rule refl :args (@t13)) % 0.36/0.56 (step @p150 :rule cong :premises (@p149 @p148) :args ((= @t13 @t91))) % 0.36/0.56 (step @p151 :rule symm :premises (@p150)) % 0.36/0.56 (step @p152 :rule eq_resolve :premises (@p149 @p151)) % 0.36/0.56 (step @p153 :rule cong :premises (@p152) :args (@t105)) % 0.36/0.56 (step @p154 :rule refl :args (@t104)) % 0.36/0.56 (step @p155 :rule nary_cong :premises (@p154 @p153) :args (@t106)) % 0.36/0.56 (step @p156 :rule cong :premises (@p155) :args (@t107)) % 0.36/0.56 (step @p157 :rule trans :premises (@p156 @p147)) % 0.36/0.56 (step @p158 :rule nary_cong :premises (@p157 @p107) :args (@t108)) % 0.36/0.56 (step @p159 :rule quant-miniscope-or :args ((= (forall @t17 @t109) @t108))) % 0.36/0.56 (step @p160 :rule aci_norm :args ((= @t110 @t109))) % 0.36/0.56 (step @p161 :rule cong :premises (@p160) :args ((forall @t17 @t110))) % 0.36/0.56 (step @p162 :rule trans :premises (@p161 @p159)) % 0.36/0.56 (step @p163 :rule trans :premises (@p162 @p158)) % 0.36/0.56 (step @p164 :rule refl :args (@t72)) % 0.36/0.56 (step @p165 :rule refl :args (@t105)) % 0.36/0.56 (step @p166 :rule bool-or-de-morgan :args (@t66 @t60 false)) % 0.36/0.56 (step @p167 :rule bool-or-de-morgan :args (@t99 @t93 false)) % 0.36/0.56 (step @p168 :rule nary_cong :premises (@p167 @p166 @p165 @p164) :args (@t115)) % 0.36/0.56 (step @p169 :rule aci_norm :args ((= (or @t114 (or @t112 (or @t105 @t72))) @t115))) % 0.36/0.56 (step @p170 :rule bool-and-de-morgan :args (@t13 @t11 true)) % 0.36/0.56 (step @p171 :rule refl :args (@t112)) % 0.36/0.56 (step @p172 :rule nary_cong :premises (@p171 @p170) :args ((or @t112 (not (and @t13 @t11))))) % 0.36/0.56 (step @p173 :rule bool-and-de-morgan :args (@t111 @t13 (and @t11))) % 0.36/0.56 (step @p174 :rule trans :premises (@p173 @p172)) % 0.36/0.56 (step @p175 :rule refl :args (@t114)) % 0.36/0.56 (step @p176 :rule nary_cong :premises (@p175 @p174) :args ((or @t114 (not (and @t111 @t13 @t11))))) % 0.36/0.56 (step @p177 :rule bool-and-de-morgan :args (@t113 @t111 (and @t13 @t11))) % 0.36/0.56 (step @p178 :rule trans :premises (@p177 @p176)) % 0.36/0.56 (step @p179 :rule trans :premises (@p178 @p169)) % 0.36/0.56 (step @p180 :rule trans :premises (@p179 @p168)) % 0.36/0.56 (step @p181 :rule cong :premises (@p180) :args (@t117)) % 0.36/0.56 (step @p182 :rule trans :premises (@p181 @p163)) % 0.36/0.56 (step @p183 :rule cong :premises (@p182) :args (@t118)) % 0.36/0.56 (step @p184 :rule exists-elim :args ((= (exists @t17 @t116) @t118))) % 0.36/0.56 (step @p185 :rule trans :premises (@p184 @p183)) % 0.36/0.56 (step @p186 :rule refl :args (@t11)) % 0.36/0.56 (step @p187 :rule refl :args (@t13)) % 0.36/0.56 (step @p188 :rule eq-symm :args (@t10 tptp.knave)) % 0.36/0.56 (step @p189 :rule eq-symm :args (@t10 tptp.knight)) % 0.36/0.56 (step @p190 :rule nary_cong :premises (@p189 @p188) :args (@t14)) % 0.36/0.56 (step @p191 :rule eq-symm :args (@t12 tptp.knave)) % 0.36/0.56 (step @p192 :rule eq-symm :args (@t12 tptp.knight)) % 0.36/0.56 (step @p193 :rule nary_cong :premises (@p192 @p191) :args (@t15)) % 0.36/0.56 (step @p194 :rule nary_cong :premises (@p193 @p190 @p187 @p186) :args (@t16)) % 0.36/0.56 (step @p195 :rule cong :premises (@p194) :args (@t18)) % 0.36/0.56 (step @p196 :rule trans :premises (@p195 @p185)) % 0.36/0.56 (step @p197 :rule cong :premises (@p196) :args (@t19)) % 0.36/0.56 (step @p198 :rule trans :premises (@p197 @p50)) % 0.36/0.56 (step @p199 :rule eq_resolve :premises (@p6 @p198)) % 0.36/0.56 (step @p200 :rule chain_m_resolution :premises (@p199 @p49) :args (@t39 (@list true) (@list @t28))) % 0.36/0.56 (step @p201 :rule cnf_and_pos :args (@t39 1)) % 0.36/0.56 (step @p202 :rule reordering :premises (@p201) :args ((or @t36 @t119))) % 0.36/0.56 (step @p203 :rule chain_m_resolution :premises (@p202 @p200) :args (@t36 @t33 @t120)) % 0.36/0.56 (step @p204 :rule cnf_and_pos :args (@t39 0)) % 0.36/0.56 (step @p205 :rule reordering :premises (@p204) :args ((or @t38 @t119))) % 0.36/0.56 (step @p206 :rule chain_m_resolution :premises (@p205 @p200) :args (@t38 @t33 @t120)) % 0.36/0.56 (step @p207 :rule refl :args (@t35)) % 0.36/0.56 (step @p208 :rule bool-double-not-elim :args (@t37)) % 0.36/0.56 (step @p209 :rule refl :args (@t122)) % 0.36/0.56 (step @p210 :rule nary_cong :premises (@p209 @p208 @p207) :args ((or @t122 (not @t38) @t35))) % 0.36/0.56 (step @p211 :rule cnf_equiv_pos1 :args (@t121)) % 0.36/0.56 (step @p212 :rule eq_resolve :premises (@p211 @p210)) % 0.36/0.56 (step @p213 :rule reordering :premises (@p212) :args ((or @t37 @t35 @t122))) % 0.36/0.56 (step @p214 :rule chain_m_resolution :premises (@p213 @p206 @p203) :args (@t122 (@list true true) (@list @t37 @t35))) % 0.36/0.56 (step @p215 :rule eq-symm :args (@t35 @t38)) % 0.36/0.56 (step @p216 :rule cong :premises (@p33 @p215) :args ((=> @t30 @t123))) % 0.36/0.56 (assume-push @p226 @t30) % 0.36/0.56 (step @p218 :rule instantiate :premises (@p27) :args ((@list tptp.mel))) % 0.36/0.56 (step-pop @p227 :rule scope :premises (@p218)) % 0.36/0.56 (step @p219 :rule process_scope :premises (@p227) :args (@t123)) % 0.36/0.56 (step @p221 :rule eq_resolve :premises (@p219 @p216)) % 0.36/0.56 (step @p222 :rule implies_elim :premises (@p221)) % 0.36/0.56 (step @p223 false :rule chain_m_resolution :premises (@p222 @p214 @p27) :args (false (@list true false) (@list @t121 @t30))) % 0.36/0.56 ) % 0.36/0.56 % SZS output end Proof % 0.36/0.56 % cvc5 exiting %------------------------------------------------------------------------------