%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO891_16 : TPTP v9.2.1. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 09:13:43 AM UTC 2026 % Result : Theorem 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SYO891_16 : TPTP v9.2.1. Released v8.2.0. % 0.12/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n019.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Wed Jun 3 01:09:04 EDT 2026 % 0.15/0.33 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.57 % SZS status Theorem % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort |tptp.'$ki_world'| 0) % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.p (-> |tptp.'$ki_world'| $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.qmltpeq (-> |tptp.'$ki_world'| $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|) % 0.36/0.57 (declare-const |tptp.'$ki_exists_in_world_$i'| (-> |tptp.'$ki_world'| $$unsorted Bool)) % 0.36/0.57 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 0.36/0.57 (define @t1 () (@var "W" |tptp.'$ki_world'|)) % 0.36/0.57 (define @t2 () (@list @t1)) % 0.36/0.57 (define @t3 () (@var "U" |tptp.'$ki_world'|)) % 0.36/0.57 (define @t4 () (@var "V" |tptp.'$ki_world'|)) % 0.36/0.57 (define @t5 () (|tptp.'$ki_accessible'| @t1 @t4)) % 0.36/0.57 (define @t6 () (@var "X" $$unsorted)) % 0.36/0.57 (define @t7 () (|tptp.'$ki_exists_in_world_$i'| @t4 @t6)) % 0.36/0.57 (define @t8 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t6)) % 0.36/0.57 (define @t9 () (and @t8 @t5)) % 0.36/0.57 (define @t10 () (forall (@list @t1 @t4 @t6) (=> @t9 @t7))) % 0.36/0.57 (define @t11 () (@list @t6)) % 0.36/0.57 (define @t12 () (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t6)) % 0.36/0.57 (define @t13 () (@var "Y" $$unsorted)) % 0.36/0.57 (define @t14 () (tptp.qmltpeq |tptp.'$ki_local_world'| @t6 @t13)) % 0.36/0.57 (define @t15 () (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t13)) % 0.36/0.57 (define @t16 () (@list @t13)) % 0.36/0.57 (define @t17 () (@var "Z" $$unsorted)) % 0.36/0.57 (define @t18 () (@var "B" $$unsorted)) % 0.36/0.57 (define @t19 () (@var "A" $$unsorted)) % 0.36/0.57 (define @t20 () (tptp.p @t1 @t6)) % 0.36/0.57 (define @t21 () (and @t8 @t20)) % 0.36/0.57 (define @t22 () (exists @t11 @t21)) % 0.36/0.57 (define @t23 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t1)) % 0.36/0.57 (define @t24 () (and @t23 @t22)) % 0.36/0.57 (define @t25 () (exists @t2 @t24)) % 0.36/0.57 (define @t26 () (and @t23 @t20)) % 0.36/0.57 (define @t27 () (exists @t2 @t26)) % 0.36/0.57 (define @t28 () (and @t12 @t27)) % 0.36/0.57 (define @t29 () (exists @t11 @t28)) % 0.36/0.57 (define @t30 () (=> @t29 @t25)) % 0.36/0.57 (define @t31 () (tptp.qmltpeq @t1 @t6 @t13)) % 0.36/0.57 (define @t32 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t13)) % 0.36/0.57 (define @t33 () (and @t32 @t31)) % 0.36/0.57 (define @t34 () (exists @t16 @t33)) % 0.36/0.57 (define @t35 () (=> @t23 @t34)) % 0.36/0.57 (define @t36 () (forall @t2 @t35)) % 0.36/0.57 (define @t37 () (=> @t12 @t36)) % 0.36/0.57 (define @t38 () (forall @t11 @t37)) % 0.36/0.57 (define @t39 () (=> @t38 @t30)) % 0.36/0.57 (define @t40 () (not @t39)) % 0.36/0.57 (define @t41 () (@var "BOUND_VARIABLE_7701" $$unsorted)) % 0.36/0.57 (define @t42 () (not (tptp.p @t1 @t41))) % 0.36/0.57 (define @t43 () (not (|tptp.'$ki_exists_in_world_$i'| @t1 @t41))) % 0.36/0.57 (define @t44 () (not @t23)) % 0.36/0.57 (define @t45 () (or @t43 @t42)) % 0.36/0.57 (define @t46 () (or @t44 @t45)) % 0.36/0.57 (define @t47 () (forall (@list @t1 @t41) @t46)) % 0.36/0.57 (define @t48 () (@list @t41)) % 0.36/0.57 (define @t49 () (forall @t48 @t46)) % 0.36/0.57 (define @t50 () (forall @t48 @t45)) % 0.36/0.57 (define @t51 () (or @t44 @t50)) % 0.36/0.57 (define @t52 () (not @t20)) % 0.36/0.57 (define @t53 () (not @t8)) % 0.36/0.57 (define @t54 () (forall @t11 (or @t53 @t52))) % 0.36/0.57 (define @t55 () (not @t54)) % 0.36/0.57 (define @t56 () (and @t23 @t55)) % 0.36/0.57 (define @t57 () (forall @t2 (not @t56))) % 0.36/0.57 (define @t58 () (not @t57)) % 0.36/0.57 (define @t59 () (forall @t11 (not @t21))) % 0.36/0.57 (define @t60 () (not @t59)) % 0.36/0.57 (define @t61 () (@var "BOUND_VARIABLE_7675" |tptp.'$ki_world'|)) % 0.36/0.57 (define @t62 () (not (tptp.p @t61 @t6))) % 0.36/0.57 (define @t63 () (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t61))) % 0.36/0.57 (define @t64 () (not @t12)) % 0.36/0.57 (define @t65 () (or @t64 @t63 @t62)) % 0.36/0.57 (define @t66 () (or @t63 @t62)) % 0.36/0.57 (define @t67 () (or @t64 @t66)) % 0.36/0.57 (define @t68 () (@list @t6 @t61)) % 0.36/0.57 (define @t69 () (forall @t68 @t67)) % 0.36/0.57 (define @t70 () (@list @t61)) % 0.36/0.57 (define @t71 () (forall @t70 @t67)) % 0.36/0.57 (define @t72 () (forall @t70 @t66)) % 0.36/0.57 (define @t73 () (@list @t1)) % 0.36/0.57 (define @t74 () (or @t64 @t72)) % 0.36/0.57 (define @t75 () (forall @t2 (or @t44 @t52))) % 0.36/0.57 (define @t76 () (not @t75)) % 0.36/0.57 (define @t77 () (and @t12 @t76)) % 0.36/0.57 (define @t78 () (forall @t11 (not @t77))) % 0.36/0.57 (define @t79 () (not @t78)) % 0.36/0.57 (define @t80 () (forall @t2 (not @t26))) % 0.36/0.57 (define @t81 () (not @t80)) % 0.36/0.57 (define @t82 () (@var "BOUND_VARIABLE_7644" |tptp.'$ki_world'|)) % 0.36/0.57 (define @t83 () (not (forall @t16 (or (not (|tptp.'$ki_exists_in_world_$i'| @t82 @t13)) (not (tptp.qmltpeq @t82 @t6 @t13)))))) % 0.36/0.57 (define @t84 () (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t82))) % 0.36/0.57 (define @t85 () (or @t84 @t83)) % 0.36/0.57 (define @t86 () (or @t64 @t85)) % 0.36/0.57 (define @t87 () (forall (@list @t6 @t82) @t86)) % 0.36/0.57 (define @t88 () (@list @t82)) % 0.36/0.57 (define @t89 () (forall @t88 @t86)) % 0.36/0.57 (define @t90 () (forall @t88 @t85)) % 0.36/0.57 (define @t91 () (or @t64 @t90)) % 0.36/0.57 (define @t92 () (not (forall @t16 (or (not @t32) (not @t31))))) % 0.36/0.57 (define @t93 () (forall @t2 (or @t44 @t92))) % 0.36/0.57 (define @t94 () (forall @t16 (not @t33))) % 0.36/0.57 (define @t95 () (not @t94)) % 0.36/0.57 (define @t96 () (forall @t68 @t65)) % 0.36/0.57 (define @t97 () (@quantifiers_skolemize @t96 1)) % 0.36/0.57 (define @t98 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t97)) % 0.36/0.57 (define @t99 () (@quantifiers_skolemize @t96 0)) % 0.36/0.57 (define @t100 () (tptp.p @t97 @t99)) % 0.36/0.57 (define @t101 () (not @t100)) % 0.36/0.57 (define @t102 () (not @t98)) % 0.36/0.57 (define @t103 () (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t99)) % 0.36/0.57 (define @t104 () (not @t103)) % 0.36/0.57 (define @t105 () (or @t104 @t102 @t101)) % 0.36/0.57 (define @t106 () (@list true)) % 0.36/0.57 (define @t107 () (@list @t105)) % 0.36/0.57 (define @t108 () (not @t5)) % 0.36/0.57 (define @t109 () (|tptp.'$ki_exists_in_world_$i'| @t97 @t99)) % 0.36/0.57 (define @t110 () (or @t104 @t102 @t109)) % 0.36/0.57 (define @t111 () (not @t109)) % 0.36/0.57 (define @t112 () (or @t102 @t111 @t101)) % 0.36/0.57 (assume @p1 (forall @t2 (|tptp.'$ki_accessible'| @t1 @t1))) % 0.36/0.57 (assume @p2 (forall (@list @t1 @t4 @t3) (=> (and @t5 (|tptp.'$ki_accessible'| @t4 @t3)) (|tptp.'$ki_accessible'| @t1 @t3)))) % 0.36/0.57 (assume @p3 @t10) % 0.36/0.57 (assume @p4 (forall @t2 (exists @t11 @t8))) % 0.36/0.57 (assume @p5 (forall @t11 (=> @t12 (tptp.qmltpeq |tptp.'$ki_local_world'| @t6 @t6)))) % 0.36/0.57 (assume @p6 (forall @t11 (=> @t12 (forall @t16 (=> @t15 (=> @t14 (tptp.qmltpeq |tptp.'$ki_local_world'| @t13 @t6))))))) % 0.36/0.57 (assume @p7 (forall @t11 (=> @t12 (forall @t16 (=> @t15 (forall (@list @t17) (=> (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t17) (=> (and @t14 (tptp.qmltpeq |tptp.'$ki_local_world'| @t13 @t17)) (tptp.qmltpeq |tptp.'$ki_local_world'| @t6 @t17))))))))) % 0.36/0.57 (assume @p8 (forall (@list @t19) (=> (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t19) (forall (@list @t18) (=> (|tptp.'$ki_exists_in_world_$i'| |tptp.'$ki_local_world'| @t18) (=> (and (tptp.qmltpeq |tptp.'$ki_local_world'| @t19 @t18) (tptp.p |tptp.'$ki_local_world'| @t19)) (tptp.p |tptp.'$ki_local_world'| @t18))))))) % 0.36/0.57 (assume @p9 @t40) % 0.36/0.57 (assume @p10 true) % 0.36/0.57 (step @p11 :rule aci_norm :args ((= @t46 (or @t44 @t43 @t42)))) % 0.36/0.57 (step @p12 :rule cong :premises (@p11) :args (@t47)) % 0.36/0.57 (step @p13 :rule quant-merge-prenex :args ((= (forall @t2 @t49) @t47))) % 0.36/0.57 (step @p14 :rule alpha_equiv :args (@t50 (@list @t41) (@list @t6))) % 0.36/0.57 (step @p15 :rule refl :args (@t44)) % 0.36/0.57 (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t51)) % 0.36/0.57 (step @p17 :rule quant-miniscope-or :args ((= @t49 @t51))) % 0.36/0.57 (step @p18 :rule trans :premises (@p17 @p16)) % 0.36/0.57 (step @p19 :rule symm :premises (@p18)) % 0.36/0.57 (step @p20 :rule cong :premises (@p19) :args ((forall @t2 (or @t44 @t54)))) % 0.36/0.57 (step @p21 :rule trans :premises (@p20 @p13)) % 0.36/0.57 (step @p22 :rule trans :premises (@p21 @p12)) % 0.36/0.57 (step @p23 :rule bool-double-not-elim :args (@t54)) % 0.36/0.57 (step @p24 :rule nary_cong :premises (@p15 @p23) :args ((or @t44 (not @t55)))) % 0.36/0.57 (step @p25 :rule bool-and-de-morgan :args (@t23 @t55 true)) % 0.36/0.57 (step @p26 :rule trans :premises (@p25 @p24)) % 0.36/0.57 (step @p27 :rule cong :premises (@p26) :args (@t57)) % 0.36/0.57 (step @p28 :rule trans :premises (@p27 @p22)) % 0.36/0.57 (step @p29 :rule cong :premises (@p28) :args (@t58)) % 0.36/0.57 (step @p30 :rule exists-elim :args ((= (exists @t2 @t56) @t58))) % 0.36/0.57 (step @p31 :rule trans :premises (@p30 @p29)) % 0.36/0.57 (step @p32 :rule bool-and-de-morgan :args (@t8 @t20 true)) % 0.36/0.57 (step @p33 :rule cong :premises (@p32) :args (@t59)) % 0.36/0.57 (step @p34 :rule cong :premises (@p33) :args (@t60)) % 0.36/0.57 (step @p35 :rule exists-elim :args ((= @t22 @t60))) % 0.36/0.57 (step @p36 :rule trans :premises (@p35 @p34)) % 0.36/0.57 (step @p37 :rule refl :args (@t23)) % 0.36/0.57 (step @p38 :rule nary_cong :premises (@p37 @p36) :args (@t24)) % 0.36/0.57 (step @p39 :rule cong :premises (@p38) :args (@t25)) % 0.36/0.57 (step @p40 :rule trans :premises (@p39 @p31)) % 0.36/0.57 (step @p41 :rule aci_norm :args ((= @t67 @t65))) % 0.36/0.57 (step @p42 :rule cong :premises (@p41) :args (@t69)) % 0.36/0.57 (step @p43 :rule quant-merge-prenex :args ((= (forall @t11 @t71) @t69))) % 0.36/0.57 (step @p44 :rule alpha_equiv :args (@t72 (@list @t61) @t73)) % 0.36/0.57 (step @p45 :rule refl :args (@t64)) % 0.36/0.57 (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t74)) % 0.36/0.57 (step @p47 :rule quant-miniscope-or :args ((= @t71 @t74))) % 0.36/0.57 (step @p48 :rule trans :premises (@p47 @p46)) % 0.36/0.57 (step @p49 :rule symm :premises (@p48)) % 0.36/0.57 (step @p50 :rule cong :premises (@p49) :args ((forall @t11 (or @t64 @t75)))) % 0.36/0.57 (step @p51 :rule trans :premises (@p50 @p43)) % 0.36/0.57 (step @p52 :rule trans :premises (@p51 @p42)) % 0.36/0.57 (step @p53 :rule bool-double-not-elim :args (@t75)) % 0.36/0.57 (step @p54 :rule nary_cong :premises (@p45 @p53) :args ((or @t64 (not @t76)))) % 0.36/0.57 (step @p55 :rule bool-and-de-morgan :args (@t12 @t76 true)) % 0.36/0.57 (step @p56 :rule trans :premises (@p55 @p54)) % 0.36/0.57 (step @p57 :rule cong :premises (@p56) :args (@t78)) % 0.36/0.57 (step @p58 :rule trans :premises (@p57 @p52)) % 0.36/0.57 (step @p59 :rule cong :premises (@p58) :args (@t79)) % 0.36/0.57 (step @p60 :rule exists-elim :args ((= (exists @t11 @t77) @t79))) % 0.36/0.57 (step @p61 :rule trans :premises (@p60 @p59)) % 0.36/0.57 (step @p62 :rule bool-and-de-morgan :args (@t23 @t20 true)) % 0.36/0.57 (step @p63 :rule cong :premises (@p62) :args (@t80)) % 0.36/0.57 (step @p64 :rule cong :premises (@p63) :args (@t81)) % 0.36/0.57 (step @p65 :rule exists-elim :args ((= @t27 @t81))) % 0.36/0.57 (step @p66 :rule trans :premises (@p65 @p64)) % 0.36/0.57 (step @p67 :rule refl :args (@t12)) % 0.36/0.57 (step @p68 :rule nary_cong :premises (@p67 @p66) :args (@t28)) % 0.36/0.57 (step @p69 :rule cong :premises (@p68) :args (@t29)) % 0.36/0.57 (step @p70 :rule trans :premises (@p69 @p61)) % 0.36/0.57 (step @p71 :rule cong :premises (@p70 @p40) :args (@t30)) % 0.36/0.57 (step @p72 :rule aci_norm :args ((= @t86 (or @t64 @t84 @t83)))) % 0.36/0.57 (step @p73 :rule cong :premises (@p72) :args (@t87)) % 0.36/0.57 (step @p74 :rule quant-merge-prenex :args ((= (forall @t11 @t89) @t87))) % 0.36/0.57 (step @p75 :rule alpha_equiv :args (@t90 (@list @t82) @t73)) % 0.36/0.57 (step @p76 :rule nary_cong :premises (@p45 @p75) :args (@t91)) % 0.36/0.57 (step @p77 :rule quant-miniscope-or :args ((= @t89 @t91))) % 0.36/0.57 (step @p78 :rule trans :premises (@p77 @p76)) % 0.36/0.57 (step @p79 :rule symm :premises (@p78)) % 0.36/0.57 (step @p80 :rule cong :premises (@p79) :args ((forall @t11 (or @t64 @t93)))) % 0.36/0.57 (step @p81 :rule trans :premises (@p80 @p74)) % 0.36/0.57 (step @p82 :rule trans :premises (@p81 @p73)) % 0.36/0.57 (step @p83 :rule bool-impl-elim :args (@t12 @t93)) % 0.36/0.57 (step @p84 :rule cong :premises (@p83) :args ((forall @t11 (=> @t12 @t93)))) % 0.36/0.57 (step @p85 :rule trans :premises (@p84 @p82)) % 0.36/0.57 (step @p86 :rule bool-impl-elim :args (@t23 @t92)) % 0.36/0.57 (step @p87 :rule cong :premises (@p86) :args ((forall @t2 (=> @t23 @t92)))) % 0.36/0.57 (step @p88 :rule bool-and-de-morgan :args (@t32 @t31 true)) % 0.36/0.57 (step @p89 :rule cong :premises (@p88) :args (@t94)) % 0.36/0.57 (step @p90 :rule cong :premises (@p89) :args (@t95)) % 0.36/0.57 (step @p91 :rule exists-elim :args ((= @t34 @t95))) % 0.36/0.57 (step @p92 :rule trans :premises (@p91 @p90)) % 0.36/0.57 (step @p93 :rule cong :premises (@p37 @p92) :args (@t35)) % 0.36/0.57 (step @p94 :rule cong :premises (@p93) :args (@t36)) % 0.36/0.57 (step @p95 :rule trans :premises (@p94 @p87)) % 0.36/0.57 (step @p96 :rule cong :premises (@p67 @p95) :args (@t37)) % 0.36/0.57 (step @p97 :rule cong :premises (@p96) :args (@t38)) % 0.36/0.57 (step @p98 :rule trans :premises (@p97 @p85)) % 0.36/0.57 (step @p99 :rule cong :premises (@p98 @p71) :args (@t39)) % 0.36/0.57 (step @p100 :rule cong :premises (@p99) :args (@t40)) % 0.36/0.57 (step @p101 :rule eq_resolve :premises (@p9 @p100)) % 0.36/0.57 (step @p102 :rule not_implies_elim2 :premises (@p101)) % 0.36/0.57 (step @p103 :rule not_implies_elim1 :premises (@p102)) % 0.36/0.57 (step @p104 :rule skolemize :premises (@p103)) % 0.36/0.57 (step @p105 :rule bool-double-not-elim :args (@t98)) % 0.36/0.57 (step @p106 :rule refl :args (@t105)) % 0.36/0.57 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or @t105 (not @t102)))) % 0.36/0.57 (step @p108 :rule cnf_or_neg :args (@t105 1)) % 0.36/0.57 (step @p109 :rule eq_resolve :premises (@p108 @p107)) % 0.36/0.57 (step @p110 :rule reordering :premises (@p109) :args ((or @t98 @t105))) % 0.36/0.57 (step @p111 :rule chain_m_resolution :premises (@p110 @p104) :args (@t98 @t106 @t107)) % 0.36/0.57 (step @p112 :rule bool-double-not-elim :args (@t100)) % 0.36/0.57 (step @p113 :rule nary_cong :premises (@p106 @p112) :args ((or @t105 (not @t101)))) % 0.36/0.57 (step @p114 :rule cnf_or_neg :args (@t105 2)) % 0.36/0.57 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 0.36/0.57 (step @p116 :rule reordering :premises (@p115) :args ((or @t100 @t105))) % 0.36/0.57 (step @p117 :rule chain_m_resolution :premises (@p116 @p104) :args (@t100 @t106 @t107)) % 0.36/0.57 (step @p118 :rule not_implies_elim2 :premises (@p102)) % 0.36/0.57 (step @p119 :rule not_not_elim :premises (@p118)) % 0.36/0.57 (step @p120 :rule instantiate :premises (@p119) :args ((@list @t97 @t99))) % 0.36/0.57 (step @p121 :rule aci_norm :args ((= (or (or @t53 @t108) @t7) (or @t53 @t108 @t7)))) % 0.36/0.57 (step @p122 :rule refl :args (@t7)) % 0.36/0.57 (step @p123 :rule bool-and-de-morgan :args (@t8 @t5 true)) % 0.36/0.57 (step @p124 :rule nary_cong :premises (@p123 @p122) :args ((or (not @t9) @t7))) % 0.36/0.57 (step @p125 :rule trans :premises (@p124 @p121)) % 0.36/0.57 (step @p126 :rule bool-impl-elim :args (@t9 @t7)) % 0.36/0.57 (step @p127 :rule trans :premises (@p126 @p125)) % 0.36/0.57 (step @p128 :rule cong :premises (@p127) :args (@t10)) % 0.36/0.57 (step @p129 :rule eq_resolve :premises (@p3 @p128)) % 0.36/0.57 (step @p130 :rule instantiate :premises (@p129) :args ((@list |tptp.'$ki_local_world'| @t97 @t99))) % 0.36/0.57 (step @p131 :rule bool-double-not-elim :args (@t103)) % 0.36/0.57 (step @p132 :rule nary_cong :premises (@p106 @p131) :args ((or @t105 (not @t104)))) % 0.36/0.57 (step @p133 :rule cnf_or_neg :args (@t105 0)) % 0.36/0.57 (step @p134 :rule eq_resolve :premises (@p133 @p132)) % 0.36/0.57 (step @p135 :rule reordering :premises (@p134) :args ((or @t103 @t105))) % 0.36/0.57 (step @p136 :rule chain_m_resolution :premises (@p135 @p104) :args (@t103 @t106 @t107)) % 0.36/0.57 (step @p137 :rule cnf_or_pos :args (@t110)) % 0.36/0.57 (step @p138 :rule reordering :premises (@p137) :args ((or @t104 @t102 @t109 (not @t110)))) % 0.36/0.57 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p111 @p130) :args (@t109 (@list false false false) (@list @t103 @t98 @t110))) % 0.36/0.57 (step @p140 :rule cnf_or_pos :args (@t112)) % 0.36/0.57 (step @p141 :rule reordering :premises (@p140) :args ((or @t102 @t101 @t111 (not @t112)))) % 0.36/0.57 (step @p142 false :rule chain_m_resolution :premises (@p141 @p139 @p120 @p117 @p111) :args (false (@list false false false false) (@list @t109 @t112 @t100 @t98))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------