%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO889_16 : TPTP v9.2.1. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n026.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 09:13:42 AM UTC 2026 % Result : Theorem 0.34s 0.58s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO889_16 : TPTP v9.2.1. Released v8.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n026.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 01:09:10 EDT 2026 % 0.16/0.35 % CPUTime : % 0.34/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/0.58 % SZS status Theorem % 0.34/0.58 % SZS output start Proof % 0.34/0.58 ( % 0.34/0.58 (declare-sort |tptp.'$ki_world'| 0) % 0.34/0.58 (declare-sort $$unsorted 0) % 0.34/0.58 (declare-const tptp.a (-> |tptp.'$ki_world'| $$unsorted Bool)) % 0.34/0.58 (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|) % 0.34/0.58 (declare-const tptp.b (-> |tptp.'$ki_world'| $$unsorted Bool)) % 0.34/0.58 (declare-const |tptp.'$ki_exists_in_world_$i'| (-> |tptp.'$ki_world'| $$unsorted Bool)) % 0.34/0.58 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 0.34/0.58 (define @t1 () (@var "W" |tptp.'$ki_world'|)) % 0.34/0.58 (define @t2 () (@list @t1)) % 0.34/0.58 (define @t3 () (@var "U" |tptp.'$ki_world'|)) % 0.34/0.58 (define @t4 () (@var "V" |tptp.'$ki_world'|)) % 0.34/0.58 (define @t5 () (|tptp.'$ki_accessible'| @t1 @t4)) % 0.34/0.58 (define @t6 () (@var "X" $$unsorted)) % 0.34/0.58 (define @t7 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t6)) % 0.34/0.58 (define @t8 () (@list @t6)) % 0.34/0.58 (define @t9 () (@var "W0" |tptp.'$ki_world'|)) % 0.34/0.58 (define @t10 () (tptp.b @t9 @t6)) % 0.34/0.58 (define @t11 () (tptp.a @t9 @t6)) % 0.34/0.59 (define @t12 () (|tptp.'$ki_accessible'| @t1 @t9)) % 0.34/0.59 (define @t13 () (and @t12 @t11 @t10)) % 0.34/0.59 (define @t14 () (@list @t9)) % 0.34/0.59 (define @t15 () (exists @t14 @t13)) % 0.34/0.59 (define @t16 () (and @t7 @t15)) % 0.34/0.59 (define @t17 () (exists @t8 @t16)) % 0.34/0.59 (define @t18 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t1)) % 0.34/0.59 (define @t19 () (and @t18 @t17)) % 0.34/0.59 (define @t20 () (exists @t2 @t19)) % 0.34/0.59 (define @t21 () (and @t12 @t10)) % 0.34/0.59 (define @t22 () (exists @t14 @t21)) % 0.34/0.59 (define @t23 () (=> @t7 @t22)) % 0.34/0.59 (define @t24 () (forall @t8 @t23)) % 0.34/0.59 (define @t25 () (=> @t18 @t24)) % 0.34/0.59 (define @t26 () (forall @t2 @t25)) % 0.34/0.59 (define @t27 () (forall @t14 (=> @t12 @t11))) % 0.34/0.59 (define @t28 () (and @t7 @t27)) % 0.34/0.59 (define @t29 () (exists @t8 @t28)) % 0.34/0.59 (define @t30 () (and @t18 @t29)) % 0.34/0.59 (define @t31 () (exists @t2 @t30)) % 0.34/0.59 (define @t32 () (and @t31 @t26)) % 0.34/0.59 (define @t33 () (=> @t32 @t20)) % 0.34/0.59 (define @t34 () (not @t33)) % 0.34/0.59 (define @t35 () (@var "BOUND_VARIABLE_7584" $$unsorted)) % 0.34/0.59 (define @t36 () (@var "BOUND_VARIABLE_7586" |tptp.'$ki_world'|)) % 0.34/0.59 (define @t37 () (not (tptp.b @t36 @t35))) % 0.34/0.59 (define @t38 () (not (tptp.a @t36 @t35))) % 0.34/0.59 (define @t39 () (not (|tptp.'$ki_accessible'| @t1 @t36))) % 0.34/0.59 (define @t40 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t35))) % 0.34/0.59 (define @t41 () (not @t18)) % 0.34/0.59 (define @t42 () (or @t40 @t39 @t38 @t37)) % 0.34/0.59 (define @t43 () (or @t41 @t42)) % 0.34/0.59 (define @t44 () (forall (@list @t1 @t35 @t36) @t43)) % 0.34/0.59 (define @t45 () (@list @t35 @t36)) % 0.34/0.59 (define @t46 () (forall @t45 @t43)) % 0.34/0.59 (define @t47 () (forall @t45 @t42)) % 0.34/0.59 (define @t48 () (@var "BOUND_VARIABLE_7562" |tptp.'$ki_world'|)) % 0.34/0.59 (define @t49 () (or @t41 @t47)) % 0.34/0.59 (define @t50 () (not (tptp.b @t48 @t6))) % 0.34/0.59 (define @t51 () (not (tptp.a @t48 @t6))) % 0.34/0.59 (define @t52 () (not (|tptp.'$ki_accessible'| @t1 @t48))) % 0.34/0.59 (define @t53 () (not @t7)) % 0.34/0.59 (define @t54 () (or @t53 @t52 @t51 @t50)) % 0.34/0.59 (define @t55 () (@list @t6 @t48)) % 0.34/0.59 (define @t56 () (forall @t55 @t54)) % 0.34/0.59 (define @t57 () (not @t56)) % 0.34/0.59 (define @t58 () (and @t18 @t57)) % 0.34/0.59 (define @t59 () (forall @t2 (not @t58))) % 0.34/0.59 (define @t60 () (not @t59)) % 0.34/0.59 (define @t61 () (or @t52 @t51 @t50)) % 0.34/0.59 (define @t62 () (or @t53 @t61)) % 0.34/0.59 (define @t63 () (forall @t55 @t62)) % 0.34/0.59 (define @t64 () (@list @t48)) % 0.34/0.59 (define @t65 () (forall @t64 @t62)) % 0.34/0.59 (define @t66 () (forall @t64 @t61)) % 0.34/0.59 (define @t67 () (or @t53 @t66)) % 0.34/0.59 (define @t68 () (not @t10)) % 0.34/0.59 (define @t69 () (not @t11)) % 0.34/0.59 (define @t70 () (not @t12)) % 0.34/0.59 (define @t71 () (or @t70 @t69 @t68)) % 0.34/0.59 (define @t72 () (forall @t14 @t71)) % 0.34/0.59 (define @t73 () (not @t72)) % 0.34/0.59 (define @t74 () (and @t7 @t73)) % 0.34/0.59 (define @t75 () (forall @t8 (not @t74))) % 0.34/0.59 (define @t76 () (not @t75)) % 0.34/0.59 (define @t77 () (forall @t14 (not @t13))) % 0.34/0.59 (define @t78 () (not @t77)) % 0.34/0.59 (define @t79 () (@var "BOUND_VARIABLE_7532" $$unsorted)) % 0.34/0.59 (define @t80 () (not (forall @t14 (or @t70 (not (tptp.b @t9 @t79)))))) % 0.34/0.59 (define @t81 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t79))) % 0.34/0.59 (define @t82 () (or @t81 @t80)) % 0.34/0.59 (define @t83 () (or @t41 @t82)) % 0.34/0.59 (define @t84 () (forall (@list @t1 @t79) @t83)) % 0.34/0.59 (define @t85 () (@list @t79)) % 0.34/0.59 (define @t86 () (forall @t85 @t83)) % 0.34/0.59 (define @t87 () (forall @t85 @t82)) % 0.34/0.59 (define @t88 () (@list @t6)) % 0.34/0.59 (define @t89 () (or @t41 @t87)) % 0.34/0.59 (define @t90 () (not (forall @t14 (or @t70 @t68)))) % 0.34/0.59 (define @t91 () (forall @t8 (or @t53 @t90))) % 0.34/0.59 (define @t92 () (forall @t14 (not @t21))) % 0.34/0.59 (define @t93 () (not @t92)) % 0.34/0.59 (define @t94 () (@var "BOUND_VARIABLE_7502" $$unsorted)) % 0.34/0.59 (define @t95 () (not (forall @t14 (or @t70 (tptp.a @t9 @t94))))) % 0.34/0.59 (define @t96 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t94))) % 0.34/0.59 (define @t97 () (or @t41 @t96 @t95)) % 0.34/0.59 (define @t98 () (or @t96 @t95)) % 0.34/0.59 (define @t99 () (or @t41 @t98)) % 0.34/0.59 (define @t100 () (@list @t1 @t94)) % 0.34/0.59 (define @t101 () (forall @t100 @t99)) % 0.34/0.59 (define @t102 () (@list @t94)) % 0.34/0.59 (define @t103 () (forall @t102 @t99)) % 0.34/0.59 (define @t104 () (forall @t102 @t98)) % 0.34/0.59 (define @t105 () (or @t41 @t104)) % 0.34/0.59 (define @t106 () (forall @t14 (or @t70 @t11))) % 0.34/0.59 (define @t107 () (forall @t8 (or @t53 (not @t106)))) % 0.34/0.59 (define @t108 () (not @t107)) % 0.34/0.59 (define @t109 () (and @t18 @t108)) % 0.34/0.59 (define @t110 () (forall @t2 (not @t109))) % 0.34/0.59 (define @t111 () (not @t110)) % 0.34/0.59 (define @t112 () (and @t7 @t106)) % 0.34/0.59 (define @t113 () (forall @t8 (not @t112))) % 0.34/0.59 (define @t114 () (not @t113)) % 0.34/0.59 (define @t115 () (forall @t100 @t97)) % 0.34/0.59 (define @t116 () (@quantifiers_skolemize @t115 1)) % 0.34/0.59 (define @t117 () (@quantifiers_skolemize @t115 0)) % 0.34/0.59 (define @t118 () (|tptp.'$ki_exists_in_world_$i'| @t117 @t116)) % 0.34/0.59 (define @t119 () (not (|tptp.'$ki_accessible'| @t117 @t9))) % 0.34/0.59 (define @t120 () (forall @t14 (or @t119 (tptp.a @t9 @t116)))) % 0.34/0.59 (define @t121 () (not @t120)) % 0.34/0.59 (define @t122 () (not @t118)) % 0.34/0.59 (define @t123 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t117)) % 0.34/0.59 (define @t124 () (not @t123)) % 0.34/0.59 (define @t125 () (or @t124 @t122 @t121)) % 0.34/0.59 (define @t126 () (@list true)) % 0.34/0.59 (define @t127 () (@list @t125)) % 0.34/0.59 (define @t128 () (forall @t14 (or @t119 (not (tptp.b @t9 @t116))))) % 0.34/0.59 (define @t129 () (not @t128)) % 0.34/0.59 (define @t130 () (or @t124 @t122 @t129)) % 0.34/0.59 (define @t131 () (@quantifiers_skolemize @t128 0)) % 0.34/0.59 (define @t132 () (|tptp.'$ki_accessible'| @t117 @t131)) % 0.34/0.59 (define @t133 () (tptp.b @t131 @t116)) % 0.34/0.59 (define @t134 () (not @t133)) % 0.34/0.59 (define @t135 () (not @t132)) % 0.34/0.59 (define @t136 () (or @t135 @t134)) % 0.34/0.59 (define @t137 () (@list @t136)) % 0.34/0.59 (define @t138 () (tptp.a @t131 @t116)) % 0.34/0.59 (define @t139 () (not @t138)) % 0.34/0.59 (define @t140 () (or @t124 @t122 @t135 @t139 @t134)) % 0.34/0.59 (define @t141 () (or @t135 @t138)) % 0.34/0.59 (assume @p1 (forall @t2 (|tptp.'$ki_accessible'| @t1 @t1))) % 0.34/0.59 (assume @p2 (forall (@list @t1 @t4 @t3) (=> (and @t5 (|tptp.'$ki_accessible'| @t4 @t3)) (|tptp.'$ki_accessible'| @t1 @t3)))) % 0.34/0.59 (assume @p3 (forall (@list @t1 @t4 @t6) (=> (and @t7 @t5) (|tptp.'$ki_exists_in_world_$i'| @t4 @t6)))) % 0.34/0.59 (assume @p4 (forall @t2 (exists @t8 @t7))) % 0.34/0.59 (assume @p5 @t34) % 0.34/0.59 (assume @p6 true) % 0.34/0.59 (step @p7 :rule aci_norm :args ((= @t43 (or @t41 @t40 @t39 @t38 @t37)))) % 0.34/0.59 (step @p8 :rule cong :premises (@p7) :args (@t44)) % 0.34/0.59 (step @p9 :rule quant-merge-prenex :args ((= (forall @t2 @t46) @t44))) % 0.34/0.59 (step @p10 :rule alpha_equiv :args (@t47 (@list @t35 @t36) (@list @t6 @t48))) % 0.34/0.59 (step @p11 :rule refl :args (@t41)) % 0.34/0.59 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t49)) % 0.34/0.59 (step @p13 :rule quant-miniscope-or :args ((= @t46 @t49))) % 0.34/0.59 (step @p14 :rule trans :premises (@p13 @p12)) % 0.34/0.59 (step @p15 :rule symm :premises (@p14)) % 0.34/0.59 (step @p16 :rule cong :premises (@p15) :args ((forall @t2 (or @t41 @t56)))) % 0.34/0.59 (step @p17 :rule trans :premises (@p16 @p9)) % 0.34/0.59 (step @p18 :rule trans :premises (@p17 @p8)) % 0.34/0.59 (step @p19 :rule bool-double-not-elim :args (@t56)) % 0.34/0.59 (step @p20 :rule nary_cong :premises (@p11 @p19) :args ((or @t41 (not @t57)))) % 0.34/0.59 (step @p21 :rule bool-and-de-morgan :args (@t18 @t57 true)) % 0.34/0.59 (step @p22 :rule trans :premises (@p21 @p20)) % 0.34/0.59 (step @p23 :rule cong :premises (@p22) :args (@t59)) % 0.34/0.59 (step @p24 :rule trans :premises (@p23 @p18)) % 0.34/0.59 (step @p25 :rule cong :premises (@p24) :args (@t60)) % 0.34/0.59 (step @p26 :rule exists-elim :args ((= (exists @t2 @t58) @t60))) % 0.34/0.59 (step @p27 :rule trans :premises (@p26 @p25)) % 0.34/0.59 (step @p28 :rule aci_norm :args ((= @t62 @t54))) % 0.34/0.59 (step @p29 :rule cong :premises (@p28) :args (@t63)) % 0.34/0.59 (step @p30 :rule quant-merge-prenex :args ((= (forall @t8 @t65) @t63))) % 0.34/0.59 (step @p31 :rule alpha_equiv :args (@t66 (@list @t48) (@list @t9))) % 0.34/0.59 (step @p32 :rule refl :args (@t53)) % 0.34/0.59 (step @p33 :rule nary_cong :premises (@p32 @p31) :args (@t67)) % 0.34/0.59 (step @p34 :rule quant-miniscope-or :args ((= @t65 @t67))) % 0.34/0.59 (step @p35 :rule trans :premises (@p34 @p33)) % 0.34/0.59 (step @p36 :rule symm :premises (@p35)) % 0.34/0.59 (step @p37 :rule cong :premises (@p36) :args ((forall @t8 (or @t53 @t72)))) % 0.34/0.59 (step @p38 :rule trans :premises (@p37 @p30)) % 0.34/0.59 (step @p39 :rule trans :premises (@p38 @p29)) % 0.34/0.59 (step @p40 :rule bool-double-not-elim :args (@t72)) % 0.34/0.59 (step @p41 :rule nary_cong :premises (@p32 @p40) :args ((or @t53 (not @t73)))) % 0.34/0.59 (step @p42 :rule bool-and-de-morgan :args (@t7 @t73 true)) % 0.34/0.59 (step @p43 :rule trans :premises (@p42 @p41)) % 0.34/0.59 (step @p44 :rule cong :premises (@p43) :args (@t75)) % 0.34/0.59 (step @p45 :rule trans :premises (@p44 @p39)) % 0.34/0.59 (step @p46 :rule cong :premises (@p45) :args (@t76)) % 0.34/0.59 (step @p47 :rule exists-elim :args ((= (exists @t8 @t74) @t76))) % 0.34/0.59 (step @p48 :rule trans :premises (@p47 @p46)) % 0.34/0.59 (step @p49 :rule aci_norm :args ((= (or @t70 (or @t69 @t68)) @t71))) % 0.34/0.59 (step @p50 :rule bool-and-de-morgan :args (@t11 @t10 true)) % 0.34/0.59 (step @p51 :rule refl :args (@t70)) % 0.34/0.59 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t70 (not (and @t11 @t10))))) % 0.34/0.59 (step @p53 :rule bool-and-de-morgan :args (@t12 @t11 (and @t10))) % 0.34/0.59 (step @p54 :rule trans :premises (@p53 @p52)) % 0.34/0.59 (step @p55 :rule trans :premises (@p54 @p49)) % 0.34/0.59 (step @p56 :rule cong :premises (@p55) :args (@t77)) % 0.34/0.59 (step @p57 :rule cong :premises (@p56) :args (@t78)) % 0.34/0.59 (step @p58 :rule exists-elim :args ((= @t15 @t78))) % 0.34/0.59 (step @p59 :rule trans :premises (@p58 @p57)) % 0.34/0.59 (step @p60 :rule refl :args (@t7)) % 0.34/0.59 (step @p61 :rule nary_cong :premises (@p60 @p59) :args (@t16)) % 0.34/0.59 (step @p62 :rule cong :premises (@p61) :args (@t17)) % 0.34/0.59 (step @p63 :rule trans :premises (@p62 @p48)) % 0.34/0.59 (step @p64 :rule refl :args (@t18)) % 0.34/0.59 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t19)) % 0.34/0.59 (step @p66 :rule cong :premises (@p65) :args (@t20)) % 0.34/0.59 (step @p67 :rule trans :premises (@p66 @p27)) % 0.34/0.59 (step @p68 :rule aci_norm :args ((= @t83 (or @t41 @t81 @t80)))) % 0.34/0.59 (step @p69 :rule cong :premises (@p68) :args (@t84)) % 0.34/0.59 (step @p70 :rule quant-merge-prenex :args ((= (forall @t2 @t86) @t84))) % 0.34/0.59 (step @p71 :rule alpha_equiv :args (@t87 (@list @t79) @t88)) % 0.34/0.59 (step @p72 :rule nary_cong :premises (@p11 @p71) :args (@t89)) % 0.34/0.59 (step @p73 :rule quant-miniscope-or :args ((= @t86 @t89))) % 0.34/0.59 (step @p74 :rule trans :premises (@p73 @p72)) % 0.34/0.59 (step @p75 :rule symm :premises (@p74)) % 0.34/0.59 (step @p76 :rule cong :premises (@p75) :args ((forall @t2 (or @t41 @t91)))) % 0.34/0.59 (step @p77 :rule trans :premises (@p76 @p70)) % 0.34/0.59 (step @p78 :rule trans :premises (@p77 @p69)) % 0.34/0.59 (step @p79 :rule bool-impl-elim :args (@t18 @t91)) % 0.34/0.59 (step @p80 :rule cong :premises (@p79) :args ((forall @t2 (=> @t18 @t91)))) % 0.34/0.59 (step @p81 :rule trans :premises (@p80 @p78)) % 0.34/0.59 (step @p82 :rule bool-impl-elim :args (@t7 @t90)) % 0.34/0.59 (step @p83 :rule cong :premises (@p82) :args ((forall @t8 (=> @t7 @t90)))) % 0.34/0.59 (step @p84 :rule bool-and-de-morgan :args (@t12 @t10 true)) % 0.34/0.59 (step @p85 :rule cong :premises (@p84) :args (@t92)) % 0.34/0.59 (step @p86 :rule cong :premises (@p85) :args (@t93)) % 0.34/0.59 (step @p87 :rule exists-elim :args ((= @t22 @t93))) % 0.34/0.59 (step @p88 :rule trans :premises (@p87 @p86)) % 0.34/0.59 (step @p89 :rule cong :premises (@p60 @p88) :args (@t23)) % 0.34/0.59 (step @p90 :rule cong :premises (@p89) :args (@t24)) % 0.34/0.59 (step @p91 :rule trans :premises (@p90 @p83)) % 0.34/0.59 (step @p92 :rule cong :premises (@p64 @p91) :args (@t25)) % 0.34/0.59 (step @p93 :rule cong :premises (@p92) :args (@t26)) % 0.34/0.59 (step @p94 :rule trans :premises (@p93 @p81)) % 0.34/0.59 (step @p95 :rule aci_norm :args ((= @t99 @t97))) % 0.34/0.59 (step @p96 :rule cong :premises (@p95) :args (@t101)) % 0.34/0.59 (step @p97 :rule quant-merge-prenex :args ((= (forall @t2 @t103) @t101))) % 0.34/0.59 (step @p98 :rule alpha_equiv :args (@t104 (@list @t94) @t88)) % 0.34/0.59 (step @p99 :rule nary_cong :premises (@p11 @p98) :args (@t105)) % 0.34/0.59 (step @p100 :rule quant-miniscope-or :args ((= @t103 @t105))) % 0.34/0.59 (step @p101 :rule trans :premises (@p100 @p99)) % 0.34/0.59 (step @p102 :rule symm :premises (@p101)) % 0.34/0.59 (step @p103 :rule cong :premises (@p102) :args ((forall @t2 (or @t41 @t107)))) % 0.34/0.59 (step @p104 :rule trans :premises (@p103 @p97)) % 0.34/0.59 (step @p105 :rule trans :premises (@p104 @p96)) % 0.34/0.59 (step @p106 :rule bool-double-not-elim :args (@t107)) % 0.34/0.59 (step @p107 :rule nary_cong :premises (@p11 @p106) :args ((or @t41 (not @t108)))) % 0.34/0.59 (step @p108 :rule bool-and-de-morgan :args (@t18 @t108 true)) % 0.34/0.59 (step @p109 :rule trans :premises (@p108 @p107)) % 0.34/0.59 (step @p110 :rule cong :premises (@p109) :args (@t110)) % 0.34/0.59 (step @p111 :rule trans :premises (@p110 @p105)) % 0.34/0.59 (step @p112 :rule cong :premises (@p111) :args (@t111)) % 0.34/0.59 (step @p113 :rule exists-elim :args ((= (exists @t2 @t109) @t111))) % 0.34/0.59 (step @p114 :rule trans :premises (@p113 @p112)) % 0.34/0.59 (step @p115 :rule bool-and-de-morgan :args (@t7 @t106 true)) % 0.34/0.59 (step @p116 :rule cong :premises (@p115) :args (@t113)) % 0.34/0.59 (step @p117 :rule cong :premises (@p116) :args (@t114)) % 0.34/0.59 (step @p118 :rule exists-elim :args ((= (exists @t8 @t112) @t114))) % 0.34/0.59 (step @p119 :rule trans :premises (@p118 @p117)) % 0.34/0.59 (step @p120 :rule bool-impl-elim :args (@t12 @t11)) % 0.34/0.59 (step @p121 :rule cong :premises (@p120) :args (@t27)) % 0.34/0.59 (step @p122 :rule nary_cong :premises (@p60 @p121) :args (@t28)) % 0.34/0.59 (step @p123 :rule cong :premises (@p122) :args (@t29)) % 0.34/0.59 (step @p124 :rule trans :premises (@p123 @p119)) % 0.34/0.59 (step @p125 :rule nary_cong :premises (@p64 @p124) :args (@t30)) % 0.34/0.59 (step @p126 :rule cong :premises (@p125) :args (@t31)) % 0.34/0.59 (step @p127 :rule trans :premises (@p126 @p114)) % 0.34/0.59 (step @p128 :rule nary_cong :premises (@p127 @p94) :args (@t32)) % 0.34/0.59 (step @p129 :rule cong :premises (@p128 @p67) :args (@t33)) % 0.34/0.59 (step @p130 :rule cong :premises (@p129) :args (@t34)) % 0.34/0.59 (step @p131 :rule eq_resolve :premises (@p5 @p130)) % 0.34/0.59 (step @p132 :rule not_implies_elim1 :premises (@p131)) % 0.34/0.59 (step @p133 :rule and_elim :premises (@p132) :args (1)) % 0.34/0.59 (step @p134 :rule instantiate :premises (@p133) :args ((@list @t117 @t116))) % 0.34/0.59 (step @p135 :rule and_elim :premises (@p132) :args (0)) % 0.34/0.59 (step @p136 :rule skolemize :premises (@p135)) % 0.34/0.59 (step @p137 :rule bool-double-not-elim :args (@t118)) % 0.34/0.59 (step @p138 :rule refl :args (@t125)) % 0.34/0.59 (step @p139 :rule nary_cong :premises (@p138 @p137) :args ((or @t125 (not @t122)))) % 0.34/0.59 (step @p140 :rule cnf_or_neg :args (@t125 1)) % 0.34/0.59 (step @p141 :rule eq_resolve :premises (@p140 @p139)) % 0.34/0.59 (step @p142 :rule reordering :premises (@p141) :args ((or @t118 @t125))) % 0.34/0.59 (step @p143 :rule chain_m_resolution :premises (@p142 @p136) :args (@t118 @t126 @t127)) % 0.34/0.59 (step @p144 :rule bool-double-not-elim :args (@t123)) % 0.34/0.59 (step @p145 :rule nary_cong :premises (@p138 @p144) :args ((or @t125 (not @t124)))) % 0.34/0.59 (step @p146 :rule cnf_or_neg :args (@t125 0)) % 0.34/0.59 (step @p147 :rule eq_resolve :premises (@p146 @p145)) % 0.34/0.59 (step @p148 :rule reordering :premises (@p147) :args ((or @t123 @t125))) % 0.34/0.59 (step @p149 :rule chain_m_resolution :premises (@p148 @p136) :args (@t123 @t126 @t127)) % 0.34/0.59 (step @p150 :rule cnf_or_pos :args (@t130)) % 0.34/0.59 (step @p151 :rule reordering :premises (@p150) :args ((or @t124 @t122 @t129 (not @t130)))) % 0.34/0.59 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p143 @p134) :args (@t129 (@list false false false) (@list @t123 @t118 @t130))) % 0.34/0.59 (step @p153 :rule skolemize :premises (@p152)) % 0.34/0.59 (step @p154 :rule bool-double-not-elim :args (@t132)) % 0.34/0.59 (step @p155 :rule refl :args (@t136)) % 0.34/0.59 (step @p156 :rule nary_cong :premises (@p155 @p154) :args ((or @t136 (not @t135)))) % 0.34/0.59 (step @p157 :rule cnf_or_neg :args (@t136 0)) % 0.34/0.59 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 0.34/0.59 (step @p159 :rule reordering :premises (@p158) :args ((or @t132 @t136))) % 0.34/0.59 (step @p160 :rule chain_m_resolution :premises (@p159 @p153) :args (@t132 @t126 @t137)) % 0.34/0.59 (step @p161 :rule bool-double-not-elim :args (@t120)) % 0.34/0.59 (step @p162 :rule nary_cong :premises (@p138 @p161) :args ((or @t125 (not @t121)))) % 0.34/0.59 (step @p163 :rule cnf_or_neg :args (@t125 2)) % 0.34/0.59 (step @p164 :rule eq_resolve :premises (@p163 @p162)) % 0.34/0.59 (step @p165 :rule reordering :premises (@p164) :args ((or @t120 @t125))) % 0.34/0.59 (step @p166 :rule chain_m_resolution :premises (@p165 @p136) :args (@t120 @t126 @t127)) % 0.34/0.59 (step @p167 :rule instantiate :premises (@p166) :args ((@list @t131))) % 0.34/0.59 (step @p168 :rule not_implies_elim2 :premises (@p131)) % 0.34/0.59 (step @p169 :rule not_not_elim :premises (@p168)) % 0.34/0.59 (step @p170 :rule instantiate :premises (@p169) :args ((@list @t117 @t116 @t131))) % 0.34/0.59 (step @p171 :rule bool-double-not-elim :args (@t133)) % 0.34/0.59 (step @p172 :rule nary_cong :premises (@p155 @p171) :args ((or @t136 (not @t134)))) % 0.34/0.59 (step @p173 :rule cnf_or_neg :args (@t136 1)) % 0.34/0.59 (step @p174 :rule eq_resolve :premises (@p173 @p172)) % 0.34/0.59 (step @p175 :rule reordering :premises (@p174) :args ((or @t133 @t136))) % 0.34/0.59 (step @p176 :rule chain_m_resolution :premises (@p175 @p153) :args (@t133 @t126 @t137)) % 0.34/0.59 (step @p177 :rule cnf_or_pos :args (@t140)) % 0.34/0.59 (step @p178 :rule reordering :premises (@p177) :args ((or @t124 @t122 @t135 @t134 @t139 (not @t140)))) % 0.34/0.59 (step @p179 :rule chain_m_resolution :premises (@p178 @p149 @p143 @p160 @p176 @p170) :args (@t139 (@list false false false false false) (@list @t123 @t118 @t132 @t133 @t140))) % 0.34/0.59 (step @p180 :rule cnf_or_pos :args (@t141)) % 0.34/0.59 (step @p181 :rule reordering :premises (@p180) :args ((or @t135 @t138 (not @t141)))) % 0.34/0.59 (step @p182 false :rule chain_m_resolution :premises (@p181 @p179 @p167 @p160) :args (false (@list true false false) (@list @t138 @t141 @t132))) % 0.34/0.59 ) % 0.34/0.59 % SZS output end Proof % 0.34/0.59 % cvc5 exiting %------------------------------------------------------------------------------