%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ005+1 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:43:55 AM UTC 2026 % Result : Theorem 0.15s 0.39s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : PUZ005+1 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 13:11:48 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.39 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.39 % SZS status Theorem % 0.15/0.39 % SZS output start Proof % 0.15/0.39 ( % 0.15/0.39 (declare-sort $$unsorted 0) % 0.15/0.39 (declare-const tptp.a_unicorn $$unsorted) % 0.15/0.39 (declare-const tptp.lies_on_one_of (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.a_lion $$unsorted) % 0.15/0.39 (declare-const tptp.unicorn_lies (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.day (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.yesterday (-> $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.sunday (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.a_sunday $$unsorted) % 0.15/0.39 (declare-const tptp.monday (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.wednesday (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.a_tuesday $$unsorted) % 0.15/0.39 (declare-const tptp.saturday (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.tuesday (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.a_monday $$unsorted) % 0.15/0.39 (declare-const tptp.a_wednesday $$unsorted) % 0.15/0.39 (declare-const tptp.a_thursday $$unsorted) % 0.15/0.39 (declare-const tptp.thursday (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.a_friday $$unsorted) % 0.15/0.39 (declare-const tptp.lion_lies (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.friday (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.a_saturday $$unsorted) % 0.15/0.39 (define @t1 () (tptp.thursday tptp.a_thursday)) % 0.15/0.39 (define @t2 () (@var "X" $$unsorted)) % 0.15/0.39 (define @t3 () (tptp.day @t2)) % 0.15/0.39 (define @t4 () (tptp.monday @t2)) % 0.15/0.39 (define @t5 () (@list @t2)) % 0.15/0.39 (define @t6 () (tptp.tuesday @t2)) % 0.15/0.39 (define @t7 () (tptp.wednesday @t2)) % 0.15/0.39 (define @t8 () (forall @t5 (=> @t7 @t3))) % 0.15/0.39 (define @t9 () (tptp.thursday @t2)) % 0.15/0.39 (define @t10 () (forall @t5 (=> @t9 @t3))) % 0.15/0.39 (define @t11 () (tptp.friday @t2)) % 0.15/0.39 (define @t12 () (tptp.saturday @t2)) % 0.15/0.39 (define @t13 () (tptp.sunday @t2)) % 0.15/0.39 (define @t14 () (tptp.yesterday @t2)) % 0.15/0.39 (define @t15 () (tptp.wednesday @t14)) % 0.15/0.39 (define @t16 () (forall @t5 (=> @t9 @t15))) % 0.15/0.39 (define @t17 () (tptp.lion_lies @t2)) % 0.15/0.39 (define @t18 () (forall @t5 (=> @t7 @t17))) % 0.15/0.39 (define @t19 () (not @t17)) % 0.15/0.39 (define @t20 () (forall @t5 (=> @t9 @t19))) % 0.15/0.39 (define @t21 () (tptp.unicorn_lies @t2)) % 0.15/0.39 (define @t22 () (not @t21)) % 0.15/0.39 (define @t23 () (forall @t5 (=> @t7 @t22))) % 0.15/0.39 (define @t24 () (forall @t5 (=> @t9 @t21))) % 0.15/0.39 (define @t25 () (@var "Y" $$unsorted)) % 0.15/0.39 (define @t26 () (tptp.lion_lies @t25)) % 0.15/0.39 (define @t27 () (not @t26)) % 0.15/0.39 (define @t28 () (tptp.lies_on_one_of tptp.a_lion @t2 @t25)) % 0.15/0.39 (define @t29 () (tptp.day @t25)) % 0.15/0.39 (define @t30 () (@list @t25)) % 0.15/0.39 (define @t31 () (not @t28)) % 0.15/0.39 (define @t32 () (and @t19 @t31)) % 0.15/0.39 (define @t33 () (=> @t32 @t27)) % 0.15/0.39 (define @t34 () (forall @t30 (=> @t29 @t33))) % 0.15/0.39 (define @t35 () (=> @t3 @t34)) % 0.15/0.39 (define @t36 () (forall @t5 @t35)) % 0.15/0.39 (define @t37 () (tptp.unicorn_lies @t25)) % 0.15/0.39 (define @t38 () (not @t37)) % 0.15/0.39 (define @t39 () (tptp.lies_on_one_of tptp.a_unicorn @t2 @t25)) % 0.15/0.39 (define @t40 () (not @t39)) % 0.15/0.39 (define @t41 () (and @t21 @t40)) % 0.15/0.39 (define @t42 () (=> @t41 @t37)) % 0.15/0.39 (define @t43 () (forall @t30 (=> @t29 @t42))) % 0.15/0.39 (define @t44 () (=> @t3 @t43)) % 0.15/0.39 (define @t45 () (forall @t5 @t44)) % 0.15/0.39 (define @t46 () (tptp.lies_on_one_of tptp.a_unicorn @t2 @t14)) % 0.15/0.39 (define @t47 () (tptp.lies_on_one_of tptp.a_lion @t2 @t14)) % 0.15/0.39 (define @t48 () (and @t3 @t47 @t46)) % 0.15/0.39 (define @t49 () (exists @t5 @t48)) % 0.15/0.39 (define @t50 () (not @t49)) % 0.15/0.39 (define @t51 () (@list tptp.a_thursday)) % 0.15/0.39 (define @t52 () (tptp.day tptp.a_thursday)) % 0.15/0.39 (define @t53 () (not @t1)) % 0.15/0.39 (define @t54 () (or @t53 @t52)) % 0.15/0.39 (define @t55 () (@list false false)) % 0.15/0.39 (define @t56 () (not @t46)) % 0.15/0.39 (define @t57 () (not @t47)) % 0.15/0.39 (define @t58 () (not @t3)) % 0.15/0.39 (define @t59 () (or @t58 @t57 @t56)) % 0.15/0.39 (define @t60 () (forall @t5 (not @t48))) % 0.15/0.39 (define @t61 () (not @t60)) % 0.15/0.39 (define @t62 () (@var "BOUND_VARIABLE_7748" $$unsorted)) % 0.15/0.39 (define @t63 () (not (tptp.lion_lies @t62))) % 0.15/0.39 (define @t64 () (tptp.lies_on_one_of tptp.a_lion @t2 @t62)) % 0.15/0.39 (define @t65 () (not (tptp.day @t62))) % 0.15/0.39 (define @t66 () (or @t65 @t64 @t63)) % 0.15/0.39 (define @t67 () (or @t58 @t17 @t66)) % 0.15/0.39 (define @t68 () (forall (@list @t2 @t62) @t67)) % 0.15/0.39 (define @t69 () (@list @t62)) % 0.15/0.39 (define @t70 () (forall @t69 @t67)) % 0.15/0.39 (define @t71 () (forall @t69 @t66)) % 0.15/0.39 (define @t72 () (@list @t25)) % 0.15/0.39 (define @t73 () (or @t58 @t17 @t71)) % 0.15/0.39 (define @t74 () (not @t29)) % 0.15/0.39 (define @t75 () (or @t74 @t28 @t27)) % 0.15/0.39 (define @t76 () (forall @t30 @t75)) % 0.15/0.39 (define @t77 () (or @t58 @t17 @t76)) % 0.15/0.39 (define @t78 () (or @t17 @t76)) % 0.15/0.39 (define @t79 () (or @t17 @t75)) % 0.15/0.39 (define @t80 () (or @t74 @t17 @t28 @t27)) % 0.15/0.39 (define @t81 () (or @t17 @t28 @t27)) % 0.15/0.39 (define @t82 () (tptp.yesterday tptp.a_thursday)) % 0.15/0.39 (define @t83 () (@list tptp.a_thursday @t82)) % 0.15/0.39 (define @t84 () (@list @t82)) % 0.15/0.39 (define @t85 () (tptp.wednesday @t82)) % 0.15/0.39 (define @t86 () (or @t53 @t85)) % 0.15/0.39 (define @t87 () (tptp.lion_lies @t82)) % 0.15/0.39 (define @t88 () (not @t85)) % 0.15/0.39 (define @t89 () (or @t88 @t87)) % 0.15/0.39 (define @t90 () (tptp.day @t82)) % 0.15/0.39 (define @t91 () (or @t88 @t90)) % 0.15/0.39 (define @t92 () (tptp.lion_lies tptp.a_thursday)) % 0.15/0.39 (define @t93 () (not @t92)) % 0.15/0.39 (define @t94 () (or @t53 @t93)) % 0.15/0.39 (define @t95 () (not @t87)) % 0.15/0.39 (define @t96 () (tptp.lies_on_one_of tptp.a_lion tptp.a_thursday @t82)) % 0.15/0.39 (define @t97 () (not @t90)) % 0.15/0.39 (define @t98 () (not @t52)) % 0.15/0.39 (define @t99 () (or @t98 @t92 @t97 @t96 @t95)) % 0.15/0.39 (define @t100 () (@var "BOUND_VARIABLE_7878" $$unsorted)) % 0.15/0.39 (define @t101 () (tptp.unicorn_lies @t100)) % 0.15/0.39 (define @t102 () (tptp.lies_on_one_of tptp.a_unicorn @t2 @t100)) % 0.15/0.39 (define @t103 () (not (tptp.day @t100))) % 0.15/0.39 (define @t104 () (or @t103 @t102 @t101)) % 0.15/0.39 (define @t105 () (or @t58 @t22 @t104)) % 0.15/0.39 (define @t106 () (forall (@list @t2 @t100) @t105)) % 0.15/0.39 (define @t107 () (@list @t100)) % 0.15/0.39 (define @t108 () (forall @t107 @t105)) % 0.15/0.39 (define @t109 () (forall @t107 @t104)) % 0.15/0.39 (define @t110 () (or @t58 @t22 @t109)) % 0.15/0.39 (define @t111 () (or @t74 @t39 @t37)) % 0.15/0.39 (define @t112 () (forall @t30 @t111)) % 0.15/0.39 (define @t113 () (or @t58 @t22 @t112)) % 0.15/0.39 (define @t114 () (or @t22 @t112)) % 0.15/0.39 (define @t115 () (or @t22 @t111)) % 0.15/0.39 (define @t116 () (or @t74 @t22 @t39 @t37)) % 0.15/0.39 (define @t117 () (or @t22 @t39 @t37)) % 0.15/0.39 (define @t118 () (tptp.unicorn_lies @t82)) % 0.15/0.39 (define @t119 () (not @t118)) % 0.15/0.39 (define @t120 () (or @t88 @t119)) % 0.15/0.39 (define @t121 () (tptp.unicorn_lies tptp.a_thursday)) % 0.15/0.39 (define @t122 () (or @t53 @t121)) % 0.15/0.39 (define @t123 () (tptp.lies_on_one_of tptp.a_unicorn tptp.a_thursday @t82)) % 0.15/0.39 (define @t124 () (not @t121)) % 0.15/0.39 (define @t125 () (or @t98 @t124 @t97 @t123 @t118)) % 0.15/0.39 (define @t126 () (not @t123)) % 0.15/0.39 (define @t127 () (not @t96)) % 0.15/0.39 (define @t128 () (or @t98 @t127 @t126)) % 0.15/0.39 (assume @p1 (tptp.monday tptp.a_monday)) % 0.15/0.39 (assume @p2 (tptp.tuesday tptp.a_tuesday)) % 0.15/0.39 (assume @p3 (tptp.wednesday tptp.a_wednesday)) % 0.15/0.39 (assume @p4 @t1) % 0.15/0.39 (assume @p5 (tptp.friday tptp.a_friday)) % 0.15/0.39 (assume @p6 (tptp.saturday tptp.a_saturday)) % 0.15/0.39 (assume @p7 (tptp.sunday tptp.a_sunday)) % 0.15/0.39 (assume @p8 (forall @t5 (=> @t4 @t3))) % 0.15/0.39 (assume @p9 (forall @t5 (=> @t6 @t3))) % 0.15/0.39 (assume @p10 @t8) % 0.15/0.39 (assume @p11 @t10) % 0.15/0.39 (assume @p12 (forall @t5 (=> @t11 @t3))) % 0.15/0.39 (assume @p13 (forall @t5 (=> @t12 @t3))) % 0.15/0.39 (assume @p14 (forall @t5 (=> @t13 @t3))) % 0.15/0.39 (assume @p15 (forall @t5 (=> @t4 (tptp.sunday @t14)))) % 0.15/0.39 (assume @p16 (forall @t5 (=> @t6 (tptp.monday @t14)))) % 0.15/0.39 (assume @p17 (forall @t5 (=> @t7 (tptp.tuesday @t14)))) % 0.15/0.39 (assume @p18 @t16) % 0.15/0.39 (assume @p19 (forall @t5 (=> @t11 (tptp.thursday @t14)))) % 0.15/0.39 (assume @p20 (forall @t5 (=> @t12 (tptp.friday @t14)))) % 0.15/0.39 (assume @p21 (forall @t5 (=> @t13 (tptp.saturday @t14)))) % 0.15/0.39 (assume @p22 (forall @t5 (=> @t4 @t17))) % 0.15/0.39 (assume @p23 (forall @t5 (=> @t6 @t17))) % 0.15/0.39 (assume @p24 @t18) % 0.15/0.39 (assume @p25 @t20) % 0.15/0.39 (assume @p26 (forall @t5 (=> @t11 @t19))) % 0.15/0.39 (assume @p27 (forall @t5 (=> @t12 @t19))) % 0.15/0.39 (assume @p28 (forall @t5 (=> @t13 @t19))) % 0.15/0.39 (assume @p29 (forall @t5 (=> @t4 @t22))) % 0.15/0.39 (assume @p30 (forall @t5 (=> @t6 @t22))) % 0.15/0.39 (assume @p31 @t23) % 0.15/0.39 (assume @p32 @t24) % 0.15/0.39 (assume @p33 (forall @t5 (=> @t11 @t21))) % 0.15/0.39 (assume @p34 (forall @t5 (=> @t12 @t21))) % 0.15/0.39 (assume @p35 (forall @t5 (=> @t13 @t22))) % 0.15/0.39 (assume @p36 (forall @t5 (=> @t17 @t3))) % 0.15/0.39 (assume @p37 (forall @t5 (=> @t21 @t3))) % 0.15/0.39 (assume @p38 (forall @t5 (=> @t3 (forall @t30 (=> @t29 (=> (and @t17 @t28) @t27)))))) % 0.15/0.39 (assume @p39 (forall @t5 (=> @t3 (forall @t30 (=> @t29 (=> (and @t19 @t28) @t26)))))) % 0.15/0.39 (assume @p40 @t36) % 0.15/0.39 (assume @p41 (forall @t5 (=> @t3 (forall @t30 (=> @t29 (=> (and @t17 @t31) @t26)))))) % 0.15/0.39 (assume @p42 (forall @t5 (=> @t3 (forall @t30 (=> @t29 (=> (and @t21 @t39) @t38)))))) % 0.15/0.39 (assume @p43 (forall @t5 (=> @t3 (forall @t30 (=> @t29 (=> (and @t22 @t39) @t37)))))) % 0.15/0.39 (assume @p44 (forall @t5 (=> @t3 (forall @t30 (=> @t29 (=> (and @t22 @t40) @t38)))))) % 0.15/0.39 (assume @p45 @t45) % 0.15/0.39 (assume @p46 @t50) % 0.15/0.39 (assume @p47 true) % 0.15/0.39 (step @p48 :rule bool-impl-elim :args (@t9 @t3)) % 0.15/0.39 (step @p49 :rule cong :premises (@p48) :args (@t10)) % 0.15/0.39 (step @p50 :rule eq_resolve :premises (@p11 @p49)) % 0.15/0.39 (step @p51 :rule instantiate :premises (@p50) :args (@t51)) % 0.15/0.39 (step @p52 :rule cnf_or_pos :args (@t54)) % 0.15/0.39 (step @p53 :rule reordering :premises (@p52) :args ((or @t53 @t52 (not @t54)))) % 0.15/0.39 (step @p54 :rule chain_m_resolution :premises (@p53 @p4 @p51) :args (@t52 @t55 (@list @t1 @t54))) % 0.15/0.39 (step @p55 :rule bool-double-not-elim :args ((forall @t5 @t59))) % 0.15/0.39 (step @p56 :rule aci_norm :args ((= (or @t58 (or @t57 @t56)) @t59))) % 0.15/0.39 (step @p57 :rule bool-and-de-morgan :args (@t47 @t46 true)) % 0.15/0.39 (step @p58 :rule refl :args (@t58)) % 0.15/0.39 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t58 (not (and @t47 @t46))))) % 0.15/0.39 (step @p60 :rule bool-and-de-morgan :args (@t3 @t47 (and @t46))) % 0.15/0.39 (step @p61 :rule trans :premises (@p60 @p59)) % 0.15/0.39 (step @p62 :rule trans :premises (@p61 @p56)) % 0.15/0.39 (step @p63 :rule cong :premises (@p62) :args (@t60)) % 0.15/0.39 (step @p64 :rule cong :premises (@p63) :args (@t61)) % 0.15/0.39 (step @p65 :rule exists-elim :args ((= @t49 @t61))) % 0.15/0.39 (step @p66 :rule trans :premises (@p65 @p64)) % 0.15/0.39 (step @p67 :rule cong :premises (@p66) :args (@t50)) % 0.15/0.39 (step @p68 :rule trans :premises (@p67 @p55)) % 0.15/0.39 (step @p69 :rule eq_resolve :premises (@p46 @p68)) % 0.15/0.39 (step @p70 :rule instantiate :premises (@p69) :args (@t51)) % 0.15/0.39 (step @p71 :rule aci_norm :args ((= @t67 (or @t58 @t17 @t65 @t64 @t63)))) % 0.15/0.39 (step @p72 :rule cong :premises (@p71) :args (@t68)) % 0.15/0.39 (step @p73 :rule quant-merge-prenex :args ((= (forall @t5 @t70) @t68))) % 0.15/0.39 (step @p74 :rule alpha_equiv :args (@t71 (@list @t62) @t72)) % 0.15/0.39 (step @p75 :rule refl :args (@t17)) % 0.15/0.39 (step @p76 :rule nary_cong :premises (@p58 @p75 @p74) :args (@t73)) % 0.15/0.39 (step @p77 :rule quant-miniscope-or :args ((= @t70 @t73))) % 0.15/0.39 (step @p78 :rule trans :premises (@p77 @p76)) % 0.15/0.39 (step @p79 :rule symm :premises (@p78)) % 0.15/0.39 (step @p80 :rule cong :premises (@p79) :args ((forall @t5 @t77))) % 0.15/0.39 (step @p81 :rule trans :premises (@p80 @p73)) % 0.15/0.39 (step @p82 :rule trans :premises (@p81 @p72)) % 0.15/0.39 (step @p83 :rule aci_norm :args ((= (or @t58 @t78) @t77))) % 0.15/0.39 (step @p84 :rule bool-impl-elim :args (@t3 @t78)) % 0.15/0.39 (step @p85 :rule trans :premises (@p84 @p83)) % 0.15/0.39 (step @p86 :rule cong :premises (@p85) :args ((forall @t5 (=> @t3 @t78)))) % 0.15/0.39 (step @p87 :rule trans :premises (@p86 @p82)) % 0.15/0.39 (step @p88 :rule quant-miniscope-or :args ((= (forall @t30 @t79) @t78))) % 0.15/0.39 (step @p89 :rule aci_norm :args ((= @t80 @t79))) % 0.15/0.39 (step @p90 :rule cong :premises (@p89) :args ((forall @t30 @t80))) % 0.15/0.39 (step @p91 :rule trans :premises (@p90 @p88)) % 0.15/0.39 (step @p92 :rule aci_norm :args ((= (or @t74 @t81) @t80))) % 0.15/0.39 (step @p93 :rule aci_norm :args ((= (or (or @t17 @t28) @t27) @t81))) % 0.15/0.39 (step @p94 :rule refl :args (@t27)) % 0.15/0.39 (step @p95 :rule bool-double-not-elim :args (@t28)) % 0.15/0.39 (step @p96 :rule bool-double-not-elim :args (@t17)) % 0.15/0.39 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or (not @t19) (not @t31)))) % 0.15/0.39 (step @p98 :rule bool-and-de-morgan :args (@t19 @t31 true)) % 0.15/0.39 (step @p99 :rule trans :premises (@p98 @p97)) % 0.15/0.39 (step @p100 :rule nary_cong :premises (@p99 @p94) :args ((or (not @t32) @t27))) % 0.15/0.39 (step @p101 :rule trans :premises (@p100 @p93)) % 0.15/0.39 (step @p102 :rule bool-impl-elim :args (@t32 @t27)) % 0.15/0.39 (step @p103 :rule trans :premises (@p102 @p101)) % 0.15/0.39 (step @p104 :rule refl :args (@t74)) % 0.15/0.39 (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t74 @t33))) % 0.15/0.39 (step @p106 :rule trans :premises (@p105 @p92)) % 0.15/0.39 (step @p107 :rule bool-impl-elim :args (@t29 @t33)) % 0.15/0.39 (step @p108 :rule trans :premises (@p107 @p106)) % 0.15/0.39 (step @p109 :rule cong :premises (@p108) :args (@t34)) % 0.15/0.39 (step @p110 :rule trans :premises (@p109 @p91)) % 0.15/0.39 (step @p111 :rule refl :args (@t3)) % 0.15/0.39 (step @p112 :rule cong :premises (@p111 @p110) :args (@t35)) % 0.15/0.39 (step @p113 :rule cong :premises (@p112) :args (@t36)) % 0.15/0.39 (step @p114 :rule trans :premises (@p113 @p87)) % 0.15/0.39 (step @p115 :rule eq_resolve :premises (@p40 @p114)) % 0.15/0.39 (step @p116 :rule instantiate :premises (@p115) :args (@t83)) % 0.15/0.39 (step @p117 :rule bool-impl-elim :args (@t7 @t17)) % 0.15/0.39 (step @p118 :rule cong :premises (@p117) :args (@t18)) % 0.15/0.39 (step @p119 :rule eq_resolve :premises (@p24 @p118)) % 0.15/0.39 (step @p120 :rule instantiate :premises (@p119) :args (@t84)) % 0.15/0.39 (step @p121 :rule bool-impl-elim :args (@t9 @t15)) % 0.15/0.39 (step @p122 :rule cong :premises (@p121) :args (@t16)) % 0.15/0.39 (step @p123 :rule eq_resolve :premises (@p18 @p122)) % 0.15/0.39 (step @p124 :rule instantiate :premises (@p123) :args (@t51)) % 0.15/0.39 (step @p125 :rule cnf_or_pos :args (@t86)) % 0.15/0.39 (step @p126 :rule reordering :premises (@p125) :args ((or @t53 @t85 (not @t86)))) % 0.15/0.39 (step @p127 :rule chain_m_resolution :premises (@p126 @p4 @p124) :args (@t85 @t55 (@list @t1 @t86))) % 0.15/0.39 (step @p128 :rule cnf_or_pos :args (@t89)) % 0.15/0.39 (step @p129 :rule reordering :premises (@p128) :args ((or @t88 @t87 (not @t89)))) % 0.15/0.39 (step @p130 :rule chain_m_resolution :premises (@p129 @p127 @p120) :args (@t87 @t55 (@list @t85 @t89))) % 0.15/0.39 (step @p131 :rule bool-impl-elim :args (@t7 @t3)) % 0.15/0.39 (step @p132 :rule cong :premises (@p131) :args (@t8)) % 0.15/0.39 (step @p133 :rule eq_resolve :premises (@p10 @p132)) % 0.15/0.39 (step @p134 :rule instantiate :premises (@p133) :args (@t84)) % 0.15/0.39 (step @p135 :rule cnf_or_pos :args (@t91)) % 0.15/0.39 (step @p136 :rule reordering :premises (@p135) :args ((or @t88 @t90 (not @t91)))) % 0.15/0.39 (step @p137 :rule chain_m_resolution :premises (@p136 @p127 @p134) :args (@t90 @t55 (@list @t85 @t91))) % 0.15/0.39 (step @p138 :rule bool-impl-elim :args (@t9 @t19)) % 0.15/0.39 (step @p139 :rule cong :premises (@p138) :args (@t20)) % 0.15/0.39 (step @p140 :rule eq_resolve :premises (@p25 @p139)) % 0.15/0.39 (step @p141 :rule instantiate :premises (@p140) :args (@t51)) % 0.15/0.39 (step @p142 :rule cnf_or_pos :args (@t94)) % 0.15/0.39 (step @p143 :rule reordering :premises (@p142) :args ((or @t53 @t93 (not @t94)))) % 0.15/0.39 (step @p144 :rule chain_m_resolution :premises (@p143 @p4 @p141) :args (@t93 @t55 (@list @t1 @t94))) % 0.15/0.39 (step @p145 :rule cnf_or_pos :args (@t99)) % 0.15/0.39 (step @p146 :rule reordering :premises (@p145) :args ((or @t92 @t98 @t96 @t97 @t95 (not @t99)))) % 0.15/0.39 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p54 @p137 @p130 @p116) :args (@t96 (@list true false false false false) (@list @t92 @t52 @t90 @t87 @t99))) % 0.15/0.39 (step @p148 :rule aci_norm :args ((= @t105 (or @t58 @t22 @t103 @t102 @t101)))) % 0.15/0.39 (step @p149 :rule cong :premises (@p148) :args (@t106)) % 0.15/0.39 (step @p150 :rule quant-merge-prenex :args ((= (forall @t5 @t108) @t106))) % 0.15/0.39 (step @p151 :rule alpha_equiv :args (@t109 (@list @t100) @t72)) % 0.15/0.39 (step @p152 :rule refl :args (@t22)) % 0.15/0.39 (step @p153 :rule nary_cong :premises (@p58 @p152 @p151) :args (@t110)) % 0.15/0.39 (step @p154 :rule quant-miniscope-or :args ((= @t108 @t110))) % 0.15/0.39 (step @p155 :rule trans :premises (@p154 @p153)) % 0.15/0.39 (step @p156 :rule symm :premises (@p155)) % 0.15/0.39 (step @p157 :rule cong :premises (@p156) :args ((forall @t5 @t113))) % 0.15/0.39 (step @p158 :rule trans :premises (@p157 @p150)) % 0.15/0.39 (step @p159 :rule trans :premises (@p158 @p149)) % 0.15/0.39 (step @p160 :rule aci_norm :args ((= (or @t58 @t114) @t113))) % 0.15/0.39 (step @p161 :rule bool-impl-elim :args (@t3 @t114)) % 0.15/0.39 (step @p162 :rule trans :premises (@p161 @p160)) % 0.15/0.39 (step @p163 :rule cong :premises (@p162) :args ((forall @t5 (=> @t3 @t114)))) % 0.15/0.39 (step @p164 :rule trans :premises (@p163 @p159)) % 0.15/0.39 (step @p165 :rule quant-miniscope-or :args ((= (forall @t30 @t115) @t114))) % 0.15/0.39 (step @p166 :rule aci_norm :args ((= @t116 @t115))) % 0.15/0.39 (step @p167 :rule cong :premises (@p166) :args ((forall @t30 @t116))) % 0.15/0.39 (step @p168 :rule trans :premises (@p167 @p165)) % 0.15/0.39 (step @p169 :rule aci_norm :args ((= (or @t74 @t117) @t116))) % 0.15/0.39 (step @p170 :rule aci_norm :args ((= (or (or @t22 @t39) @t37) @t117))) % 0.15/0.39 (step @p171 :rule refl :args (@t37)) % 0.15/0.39 (step @p172 :rule bool-double-not-elim :args (@t39)) % 0.15/0.39 (step @p173 :rule nary_cong :premises (@p152 @p172) :args ((or @t22 (not @t40)))) % 0.15/0.39 (step @p174 :rule bool-and-de-morgan :args (@t21 @t40 true)) % 0.15/0.39 (step @p175 :rule trans :premises (@p174 @p173)) % 0.15/0.39 (step @p176 :rule nary_cong :premises (@p175 @p171) :args ((or (not @t41) @t37))) % 0.15/0.39 (step @p177 :rule trans :premises (@p176 @p170)) % 0.15/0.39 (step @p178 :rule bool-impl-elim :args (@t41 @t37)) % 0.15/0.39 (step @p179 :rule trans :premises (@p178 @p177)) % 0.15/0.39 (step @p180 :rule nary_cong :premises (@p104 @p179) :args ((or @t74 @t42))) % 0.15/0.39 (step @p181 :rule trans :premises (@p180 @p169)) % 0.15/0.39 (step @p182 :rule bool-impl-elim :args (@t29 @t42)) % 0.15/0.39 (step @p183 :rule trans :premises (@p182 @p181)) % 0.15/0.39 (step @p184 :rule cong :premises (@p183) :args (@t43)) % 0.15/0.39 (step @p185 :rule trans :premises (@p184 @p168)) % 0.15/0.39 (step @p186 :rule cong :premises (@p111 @p185) :args (@t44)) % 0.15/0.39 (step @p187 :rule cong :premises (@p186) :args (@t45)) % 0.15/0.39 (step @p188 :rule trans :premises (@p187 @p164)) % 0.15/0.39 (step @p189 :rule eq_resolve :premises (@p45 @p188)) % 0.15/0.39 (step @p190 :rule instantiate :premises (@p189) :args (@t83)) % 0.15/0.39 (step @p191 :rule bool-impl-elim :args (@t7 @t22)) % 0.15/0.39 (step @p192 :rule cong :premises (@p191) :args (@t23)) % 0.15/0.39 (step @p193 :rule eq_resolve :premises (@p31 @p192)) % 0.15/0.39 (step @p194 :rule instantiate :premises (@p193) :args (@t84)) % 0.15/0.39 (step @p195 :rule cnf_or_pos :args (@t120)) % 0.15/0.39 (step @p196 :rule reordering :premises (@p195) :args ((or @t88 @t119 (not @t120)))) % 0.15/0.39 (step @p197 :rule chain_m_resolution :premises (@p196 @p127 @p194) :args (@t119 @t55 (@list @t85 @t120))) % 0.15/0.39 (step @p198 :rule bool-impl-elim :args (@t9 @t21)) % 0.15/0.39 (step @p199 :rule cong :premises (@p198) :args (@t24)) % 0.15/0.39 (step @p200 :rule eq_resolve :premises (@p32 @p199)) % 0.15/0.39 (step @p201 :rule instantiate :premises (@p200) :args (@t51)) % 0.15/0.39 (step @p202 :rule cnf_or_pos :args (@t122)) % 0.15/0.39 (step @p203 :rule reordering :premises (@p202) :args ((or @t53 @t121 (not @t122)))) % 0.15/0.39 (step @p204 :rule chain_m_resolution :premises (@p203 @p4 @p201) :args (@t121 @t55 (@list @t1 @t122))) % 0.15/0.39 (step @p205 :rule cnf_or_pos :args (@t125)) % 0.15/0.39 (step @p206 :rule reordering :premises (@p205) :args ((or @t98 @t124 @t118 @t123 @t97 (not @t125)))) % 0.15/0.39 (step @p207 :rule chain_m_resolution :premises (@p206 @p54 @p204 @p197 @p137 @p190) :args (@t123 (@list false false true false false) (@list @t52 @t121 @t118 @t90 @t125))) % 0.15/0.39 (step @p208 :rule cnf_or_pos :args (@t128)) % 0.15/0.39 (step @p209 :rule reordering :premises (@p208) :args ((or @t98 @t127 @t126 (not @t128)))) % 0.15/0.39 (step @p210 false :rule chain_m_resolution :premises (@p209 @p207 @p147 @p70 @p54) :args (false (@list false false false false) (@list @t123 @t96 @t128 @t52))) % 0.15/0.39 ) % 0.15/0.39 % SZS output end Proof % 0.15/0.39 % cvc5 exiting %------------------------------------------------------------------------------