%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET997+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:49:06 AM UTC 2026 % Result : Theorem 33.87s 34.07s % Output : Proof 33.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SET997+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n002.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:22:33 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 33.87/34.07 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 33.87/34.07 --- Run --no-e-matching --full-saturate-quant at 6... % 33.87/34.07 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 33.87/34.07 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.87/34.07 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 33.87/34.07 % SZS status Theorem % 33.87/34.07 % SZS output start Proof % 33.87/34.07 ( % 33.87/34.07 (declare-sort $$unsorted 0) % 33.87/34.07 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 33.87/34.07 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 33.87/34.07 (declare-const tptp.empty_set $$unsorted) % 33.87/34.07 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 33.87/34.07 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 33.87/34.07 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 33.87/34.07 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 33.87/34.07 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 33.87/34.07 (declare-const tptp.relation (-> $$unsorted Bool)) % 33.87/34.07 (declare-const tptp.empty (-> $$unsorted Bool)) % 33.87/34.07 (declare-const tptp.function (-> $$unsorted Bool)) % 33.87/34.07 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 33.87/34.07 (define @t1 () (@var "A" $$unsorted)) % 33.87/34.07 (define @t2 () (@var "B" $$unsorted)) % 33.87/34.07 (define @t3 () (tptp.in @t1 @t2)) % 33.87/34.07 (define @t4 () (@list @t1 @t2)) % 33.87/34.07 (define @t5 () (tptp.function @t1)) % 33.87/34.07 (define @t6 () (tptp.empty @t1)) % 33.87/34.07 (define @t7 () (@list @t1)) % 33.87/34.07 (define @t8 () (tptp.relation @t1)) % 33.87/34.07 (define @t9 () (@var "C" $$unsorted)) % 33.87/34.07 (define @t10 () (tptp.in @t9 @t2)) % 33.87/34.07 (define @t11 () (tptp.in @t9 @t1)) % 33.87/34.07 (define @t12 () (@list @t9)) % 33.87/34.07 (define @t13 () (forall @t12 (=> @t11 @t10))) % 33.87/34.07 (define @t14 () (tptp.subset @t1 @t2)) % 33.87/34.07 (define @t15 () (= @t14 @t13)) % 33.87/34.07 (define @t16 () (forall @t4 @t15)) % 33.87/34.07 (define @t17 () (@var "D" $$unsorted)) % 33.87/34.07 (define @t18 () (= @t9 (tptp.apply @t1 @t17))) % 33.87/34.07 (define @t19 () (tptp.relation_dom @t1)) % 33.87/34.07 (define @t20 () (tptp.in @t17 @t19)) % 33.87/34.07 (define @t21 () (and @t20 @t18)) % 33.87/34.07 (define @t22 () (@list @t17)) % 33.87/34.07 (define @t23 () (exists @t22 @t21)) % 33.87/34.07 (define @t24 () (= @t10 @t23)) % 33.87/34.07 (define @t25 () (forall @t12 @t24)) % 33.87/34.07 (define @t26 () (tptp.relation_rng @t1)) % 33.87/34.07 (define @t27 () (= @t2 @t26)) % 33.87/34.07 (define @t28 () (= @t27 @t25)) % 33.87/34.07 (define @t29 () (@list @t2)) % 33.87/34.07 (define @t30 () (forall @t29 @t28)) % 33.87/34.07 (define @t31 () (and @t8 @t5)) % 33.87/34.07 (define @t32 () (=> @t31 @t30)) % 33.87/34.07 (define @t33 () (forall @t7 @t32)) % 33.87/34.07 (define @t34 () (tptp.relation tptp.empty_set)) % 33.87/34.07 (define @t35 () (tptp.empty tptp.empty_set)) % 33.87/34.07 (define @t36 () (tptp.powerset @t1)) % 33.87/34.07 (define @t37 () (tptp.empty @t19)) % 33.87/34.07 (define @t38 () (not @t6)) % 33.87/34.07 (define @t39 () (and @t38 @t8)) % 33.87/34.07 (define @t40 () (tptp.empty @t26)) % 33.87/34.07 (define @t41 () (tptp.empty @t2)) % 33.87/34.07 (define @t42 () (tptp.element @t2 @t36)) % 33.87/34.07 (define @t43 () (tptp.subset @t1 (tptp.relation_rng @t2))) % 33.87/34.07 (define @t44 () (= @t9 (tptp.apply @t2 @t17))) % 33.87/34.07 (define @t45 () (tptp.in @t17 (tptp.relation_dom @t2))) % 33.87/34.07 (define @t46 () (forall @t22 (not (and @t45 @t44)))) % 33.87/34.07 (define @t47 () (and @t11 @t46)) % 33.87/34.07 (define @t48 () (not @t47)) % 33.87/34.07 (define @t49 () (forall @t12 @t48)) % 33.87/34.07 (define @t50 () (=> @t49 @t43)) % 33.87/34.07 (define @t51 () (tptp.function @t2)) % 33.87/34.07 (define @t52 () (tptp.relation @t2)) % 33.87/34.07 (define @t53 () (and @t52 @t51)) % 33.87/34.07 (define @t54 () (=> @t53 @t50)) % 33.87/34.07 (define @t55 () (forall @t4 @t54)) % 33.87/34.07 (define @t56 () (not @t55)) % 33.87/34.07 (define @t57 () (tptp.element @t1 @t2)) % 33.87/34.07 (define @t58 () (tptp.element @t2 (tptp.powerset @t9))) % 33.87/34.07 (define @t59 () (@list @t1 @t2 @t9)) % 33.87/34.07 (define @t60 () (@var "BOUND_VARIABLE_7604" $$unsorted)) % 33.87/34.07 (define @t61 () (tptp.in @t9 @t60)) % 33.87/34.07 (define @t62 () (not (forall @t22 (or (not @t20) (not @t18))))) % 33.87/34.07 (define @t63 () (forall @t12 (= @t61 @t62))) % 33.87/34.07 (define @t64 () (= (= @t60 @t26) @t63)) % 33.87/34.07 (define @t65 () (not @t5)) % 33.87/34.07 (define @t66 () (not @t8)) % 33.87/34.07 (define @t67 () (or @t66 @t65 @t64)) % 33.87/34.07 (define @t68 () (@list @t1 @t60)) % 33.87/34.07 (define @t69 () (forall @t68 @t67)) % 33.87/34.07 (define @t70 () (@list @t60)) % 33.87/34.07 (define @t71 () (forall @t70 @t67)) % 33.87/34.07 (define @t72 () (forall @t70 @t64)) % 33.87/34.07 (define @t73 () (or @t66 @t65 @t72)) % 33.87/34.07 (define @t74 () (forall @t29 (= @t27 (forall @t12 (= @t10 @t62))))) % 33.87/34.07 (define @t75 () (or @t66 @t65 @t74)) % 33.87/34.07 (define @t76 () (forall @t22 (not @t21))) % 33.87/34.07 (define @t77 () (not @t76)) % 33.87/34.07 (define @t78 () (forall @t22 (or (not @t45) (not @t44)))) % 33.87/34.07 (define @t79 () (forall @t12 (or (not @t11) (not @t78)))) % 33.87/34.07 (define @t80 () (not @t79)) % 33.87/34.07 (define @t81 () (not @t51)) % 33.87/34.07 (define @t82 () (not @t52)) % 33.87/34.07 (define @t83 () (or @t82 @t81 @t80 @t43)) % 33.87/34.07 (define @t84 () (forall @t4 @t83)) % 33.87/34.07 (define @t85 () (@quantifiers_skolemize @t84 1)) % 33.87/34.07 (define @t86 () (tptp.relation_rng @t85)) % 33.87/34.07 (define @t87 () (tptp.in @t9 @t86)) % 33.87/34.07 (define @t88 () (tptp.apply @t85 @t17)) % 33.87/34.07 (define @t89 () (not (tptp.in @t17 (tptp.relation_dom @t85)))) % 33.87/34.07 (define @t90 () (not (forall @t22 (or @t89 (not (= @t9 @t88)))))) % 33.87/34.07 (define @t91 () (forall @t12 (= @t90 @t87))) % 33.87/34.07 (define @t92 () (= (= @t86 @t86) @t91)) % 33.87/34.07 (define @t93 () (tptp.function @t85)) % 33.87/34.07 (define @t94 () (not @t93)) % 33.87/34.07 (define @t95 () (tptp.relation @t85)) % 33.87/34.07 (define @t96 () (not @t95)) % 33.87/34.07 (define @t97 () (or @t96 @t94 @t92)) % 33.87/34.07 (define @t98 () (forall @t68 (or @t66 @t65 (= (= @t26 @t60) (forall @t12 (= @t62 @t61)))))) % 33.87/34.07 (define @t99 () (or @t96 @t94 @t91)) % 33.87/34.07 (define @t100 () (@list false)) % 33.87/34.07 (define @t101 () (=> @t79 @t43)) % 33.87/34.07 (define @t102 () (@quantifiers_skolemize @t84 0)) % 33.87/34.07 (define @t103 () (tptp.subset @t102 @t86)) % 33.87/34.07 (define @t104 () (not (tptp.in @t9 @t102))) % 33.87/34.07 (define @t105 () (forall @t12 (or @t104 @t90))) % 33.87/34.07 (define @t106 () (not @t105)) % 33.87/34.07 (define @t107 () (or @t96 @t94 @t106 @t103)) % 33.87/34.07 (define @t108 () (@list true)) % 33.87/34.07 (define @t109 () (@list @t107)) % 33.87/34.07 (define @t110 () (forall @t12 (or @t104 @t87))) % 33.87/34.07 (define @t111 () (@quantifiers_skolemize @t110 0)) % 33.87/34.07 (define @t112 () (not (= @t111 @t88))) % 33.87/34.07 (define @t113 () (or @t89 @t112)) % 33.87/34.07 (define @t114 () (forall @t22 @t113)) % 33.87/34.07 (define @t115 () (not @t114)) % 33.87/34.07 (define @t116 () (tptp.in @t111 @t102)) % 33.87/34.07 (define @t117 () (not @t116)) % 33.87/34.07 (define @t118 () (or @t117 @t115)) % 33.87/34.07 (define @t119 () (@list @t111)) % 33.87/34.07 (define @t120 () (forall @t22 (or @t89 (not (= @t88 @t111))))) % 33.87/34.07 (define @t121 () (not @t120)) % 33.87/34.07 (define @t122 () (or @t117 @t121)) % 33.87/34.07 (define @t123 () (= @t103 @t110)) % 33.87/34.07 (define @t124 () (not @t110)) % 33.87/34.07 (define @t125 () (@list true false)) % 33.87/34.07 (define @t126 () (tptp.in @t111 @t86)) % 33.87/34.07 (define @t127 () (or @t117 @t126)) % 33.87/34.07 (define @t128 () (@list @t127)) % 33.87/34.07 (define @t129 () (= @t126 @t121)) % 33.87/34.07 (define @t130 () (not @t129)) % 33.87/34.07 (define @t131 () (= @t115 @t126)) % 33.87/34.07 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 33.87/34.07 (assume @p2 (forall @t7 (=> @t6 @t5))) % 33.87/34.07 (assume @p3 (forall @t7 (=> @t6 @t8))) % 33.87/34.07 (assume @p4 @t16) % 33.87/34.07 (assume @p5 @t33) % 33.87/34.07 (assume @p6 (forall @t7 (exists @t29 (tptp.element @t2 @t1)))) % 33.87/34.07 (assume @p7 (and @t35 @t34 (tptp.relation_empty_yielding tptp.empty_set))) % 33.87/34.07 (assume @p8 (forall @t7 (not (tptp.empty @t36)))) % 33.87/34.07 (assume @p9 @t35) % 33.87/34.07 (assume @p10 (and @t35 @t34)) % 33.87/34.07 (assume @p11 (forall @t7 (=> @t39 (not @t37)))) % 33.87/34.07 (assume @p12 (forall @t7 (=> @t39 (not @t40)))) % 33.87/34.07 (assume @p13 (forall @t7 (=> @t6 (and @t37 (tptp.relation @t19))))) % 33.87/34.07 (assume @p14 (forall @t7 (=> @t6 (and @t40 (tptp.relation @t26))))) % 33.87/34.07 (assume @p15 (exists @t7 @t31)) % 33.87/34.07 (assume @p16 (exists @t7 (and @t6 @t8))) % 33.87/34.07 (assume @p17 (forall @t7 (=> @t38 (exists @t29 (and @t42 (not @t41)))))) % 33.87/34.07 (assume @p18 (exists @t7 @t6)) % 33.87/34.07 (assume @p19 (exists @t7 @t39)) % 33.87/34.07 (assume @p20 (forall @t7 (exists @t29 (and @t42 @t41)))) % 33.87/34.07 (assume @p21 (exists @t7 @t38)) % 33.87/34.07 (assume @p22 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 33.87/34.07 (assume @p23 (forall @t4 (tptp.subset @t1 @t1))) % 33.87/34.07 (assume @p24 @t56) % 33.87/34.07 (assume @p25 (forall @t4 (=> @t3 @t57))) % 33.87/34.07 (assume @p26 (forall @t4 (=> @t57 (or @t41 @t3)))) % 33.87/34.07 (assume @p27 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) @t14))) % 33.87/34.07 (assume @p28 (forall @t59 (=> (and @t3 @t58) (tptp.element @t1 @t9)))) % 33.87/34.07 (assume @p29 (forall @t59 (not (and @t3 @t58 (tptp.empty @t9))))) % 33.87/34.07 (assume @p30 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 33.87/34.07 (assume @p31 (forall @t4 (not (and @t3 @t41)))) % 33.87/34.07 (assume @p32 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t41)))) % 33.87/34.07 (assume @p33 true) % 33.87/34.07 (step @p34 :rule eq-symm :args (@t61 @t62)) % 33.87/34.07 (step @p35 :rule cong :premises (@p34) :args (@t63)) % 33.87/34.07 (step @p36 :rule eq-symm :args (@t60 @t26)) % 33.87/34.07 (step @p37 :rule cong :premises (@p36 @p35) :args (@t64)) % 33.87/34.07 (step @p38 :rule refl :args (@t65)) % 33.87/34.07 (step @p39 :rule refl :args (@t66)) % 33.87/34.07 (step @p40 :rule nary_cong :premises (@p39 @p38 @p37) :args (@t67)) % 33.87/34.07 (step @p41 :rule cong :premises (@p40) :args (@t69)) % 33.87/34.07 (step @p42 :rule quant-merge-prenex :args ((= (forall @t7 @t71) @t69))) % 33.87/34.07 (step @p43 :rule alpha_equiv :args (@t72 (@list @t60) (@list @t2))) % 33.87/34.07 (step @p44 :rule refl :args (@t65)) % 33.87/34.07 (step @p45 :rule refl :args (@t66)) % 33.87/34.07 (step @p46 :rule nary_cong :premises (@p45 @p44 @p43) :args (@t73)) % 33.87/34.07 (step @p47 :rule quant-miniscope-or :args ((= @t71 @t73))) % 33.87/34.07 (step @p48 :rule trans :premises (@p47 @p46)) % 33.87/34.07 (step @p49 :rule symm :premises (@p48)) % 33.87/34.07 (step @p50 :rule cong :premises (@p49) :args ((forall @t7 @t75))) % 33.87/34.07 (step @p51 :rule trans :premises (@p50 @p42)) % 33.87/34.07 (step @p52 :rule trans :premises (@p51 @p41)) % 33.87/34.07 (step @p53 :rule aci_norm :args ((= (or (or @t66 @t65) @t74) @t75))) % 33.87/34.07 (step @p54 :rule refl :args (@t74)) % 33.87/34.07 (step @p55 :rule bool-and-de-morgan :args (@t8 @t5 true)) % 33.87/34.07 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or (not @t31) @t74))) % 33.87/34.07 (step @p57 :rule trans :premises (@p56 @p53)) % 33.87/34.07 (step @p58 :rule bool-impl-elim :args (@t31 @t74)) % 33.87/34.07 (step @p59 :rule trans :premises (@p58 @p57)) % 33.87/34.07 (step @p60 :rule cong :premises (@p59) :args ((forall @t7 (=> @t31 @t74)))) % 33.87/34.07 (step @p61 :rule trans :premises (@p60 @p52)) % 33.87/34.07 (step @p62 :rule bool-and-de-morgan :args (@t20 @t18 true)) % 33.87/34.07 (step @p63 :rule cong :premises (@p62) :args (@t76)) % 33.87/34.07 (step @p64 :rule cong :premises (@p63) :args (@t77)) % 33.87/34.07 (step @p65 :rule exists-elim :args ((= @t23 @t77))) % 33.87/34.07 (step @p66 :rule trans :premises (@p65 @p64)) % 33.87/34.07 (step @p67 :rule refl :args (@t10)) % 33.87/34.07 (step @p68 :rule cong :premises (@p67 @p66) :args (@t24)) % 33.87/34.07 (step @p69 :rule cong :premises (@p68) :args (@t25)) % 33.87/34.07 (step @p70 :rule refl :args (@t27)) % 33.87/34.07 (step @p71 :rule cong :premises (@p70 @p69) :args (@t28)) % 33.87/34.07 (step @p72 :rule cong :premises (@p71) :args (@t30)) % 33.87/34.07 (step @p73 :rule refl :args (@t31)) % 33.87/34.07 (step @p74 :rule cong :premises (@p73 @p72) :args (@t32)) % 33.87/34.07 (step @p75 :rule cong :premises (@p74) :args (@t33)) % 33.87/34.07 (step @p76 :rule trans :premises (@p75 @p61)) % 33.87/34.07 (step @p77 :rule eq_resolve :premises (@p5 @p76)) % 33.87/34.07 (step @p78 :rule bool-eq-true :args (@t91)) % 33.87/34.07 (step @p79 :rule eq-symm :args (true @t91)) % 33.87/34.07 (step @p80 :rule trans :premises (@p79 @p78)) % 33.87/34.07 (step @p81 :rule refl :args (@t91)) % 33.87/34.07 (step @p82 :rule eq-refl :args (@t86)) % 33.87/34.07 (step @p83 :rule cong :premises (@p82 @p81) :args (@t92)) % 33.87/34.07 (step @p84 :rule trans :premises (@p83 @p80)) % 33.87/34.07 (step @p85 :rule refl :args (@t94)) % 33.87/34.07 (step @p86 :rule refl :args (@t96)) % 33.87/34.07 (step @p87 :rule nary_cong :premises (@p86 @p85 @p84) :args (@t97)) % 33.87/34.07 (step @p88 :rule refl :args (@t98)) % 33.87/34.07 (step @p89 :rule cong :premises (@p88 @p87) :args ((=> @t98 @t97))) % 33.87/34.07 (assume-push @p206 @t98) % 33.87/34.07 (step @p91 :rule instantiate :premises (@p77) :args ((@list @t85 @t86))) % 33.87/34.07 (step-pop @p207 :rule scope :premises (@p91)) % 33.87/34.07 (step @p92 :rule process_scope :premises (@p207) :args (@t97)) % 33.87/34.07 (step @p94 :rule eq_resolve :premises (@p92 @p89)) % 33.87/34.07 (step @p95 :rule implies_elim :premises (@p94)) % 33.87/34.07 (step @p96 :rule chain_m_resolution :premises (@p95 @p77) :args (@t99 @t100 (@list @t98))) % 33.87/34.07 (step @p97 :rule aci_norm :args ((= (or (or @t82 @t81) (or @t80 @t43)) @t83))) % 33.87/34.07 (step @p98 :rule bool-impl-elim :args (@t79 @t43)) % 33.87/34.07 (step @p99 :rule bool-and-de-morgan :args (@t52 @t51 true)) % 33.87/34.07 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or (not @t53) @t101))) % 33.87/34.07 (step @p101 :rule trans :premises (@p100 @p97)) % 33.87/34.07 (step @p102 :rule bool-impl-elim :args (@t53 @t101)) % 33.87/34.07 (step @p103 :rule trans :premises (@p102 @p101)) % 33.87/34.07 (step @p104 :rule cong :premises (@p103) :args ((forall @t4 (=> @t53 @t101)))) % 33.87/34.07 (step @p105 :rule refl :args (@t43)) % 33.87/34.07 (step @p106 :rule bool-and-de-morgan :args (@t11 @t78 true)) % 33.87/34.07 (step @p107 :rule cong :premises (@p106) :args ((forall @t12 (not (and @t11 @t78))))) % 33.87/34.07 (step @p108 :rule bool-and-de-morgan :args (@t45 @t44 true)) % 33.87/34.07 (step @p109 :rule cong :premises (@p108) :args (@t46)) % 33.87/34.07 (step @p110 :rule refl :args (@t11)) % 33.87/34.07 (step @p111 :rule nary_cong :premises (@p110 @p109) :args (@t47)) % 33.87/34.07 (step @p112 :rule cong :premises (@p111) :args (@t48)) % 33.87/34.07 (step @p113 :rule cong :premises (@p112) :args (@t49)) % 33.87/34.07 (step @p114 :rule trans :premises (@p113 @p107)) % 33.87/34.07 (step @p115 :rule cong :premises (@p114 @p105) :args (@t50)) % 33.87/34.07 (step @p116 :rule refl :args (@t53)) % 33.87/34.07 (step @p117 :rule cong :premises (@p116 @p115) :args (@t54)) % 33.87/34.07 (step @p118 :rule cong :premises (@p117) :args (@t55)) % 33.87/34.07 (step @p119 :rule trans :premises (@p118 @p104)) % 33.87/34.07 (step @p120 :rule cong :premises (@p119) :args (@t56)) % 33.87/34.07 (step @p121 :rule eq_resolve :premises (@p24 @p120)) % 33.87/34.07 (step @p122 :rule skolemize :premises (@p121)) % 33.87/34.07 (step @p123 :rule bool-double-not-elim :args (@t93)) % 33.87/34.07 (step @p124 :rule refl :args (@t107)) % 33.87/34.07 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or @t107 (not @t94)))) % 33.87/34.07 (step @p126 :rule cnf_or_neg :args (@t107 1)) % 33.87/34.07 (step @p127 :rule eq_resolve :premises (@p126 @p125)) % 33.87/34.07 (step @p128 :rule reordering :premises (@p127) :args ((or @t93 @t107))) % 33.87/34.07 (step @p129 :rule chain_m_resolution :premises (@p128 @p122) :args (@t93 @t108 @t109)) % 33.87/34.07 (step @p130 :rule bool-double-not-elim :args (@t95)) % 33.87/34.07 (step @p131 :rule nary_cong :premises (@p124 @p130) :args ((or @t107 (not @t96)))) % 33.87/34.07 (step @p132 :rule cnf_or_neg :args (@t107 0)) % 33.87/34.07 (step @p133 :rule eq_resolve :premises (@p132 @p131)) % 33.87/34.07 (step @p134 :rule reordering :premises (@p133) :args ((or @t95 @t107))) % 33.87/34.07 (step @p135 :rule chain_m_resolution :premises (@p134 @p122) :args (@t95 @t108 @t109)) % 33.87/34.07 (step @p136 :rule cnf_or_pos :args (@t99)) % 33.87/34.07 (step @p137 :rule reordering :premises (@p136) :args ((or @t96 @t94 @t91 (not @t99)))) % 33.87/34.07 (step @p138 :rule chain_m_resolution :premises (@p137 @p135 @p129 @p96) :args (@t91 (@list false false false) (@list @t95 @t93 @t99))) % 33.87/34.07 (step @p139 :rule bool-double-not-elim :args (@t105)) % 33.87/34.07 (step @p140 :rule nary_cong :premises (@p124 @p139) :args ((or @t107 (not @t106)))) % 33.87/34.07 (step @p141 :rule cnf_or_neg :args (@t107 2)) % 33.87/34.07 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 33.87/34.07 (step @p143 :rule reordering :premises (@p142) :args ((or @t105 @t107))) % 33.87/34.07 (step @p144 :rule chain_m_resolution :premises (@p143 @p122) :args (@t105 @t108 @t109)) % 33.87/34.07 (step @p145 :rule eq-symm :args (@t111 @t88)) % 33.87/34.07 (step @p146 :rule cong :premises (@p145) :args (@t112)) % 33.87/34.07 (step @p147 :rule refl :args (@t89)) % 33.87/34.07 (step @p148 :rule nary_cong :premises (@p147 @p146) :args (@t113)) % 33.87/34.07 (step @p149 :rule cong :premises (@p148) :args (@t114)) % 33.87/34.07 (step @p150 :rule cong :premises (@p149) :args (@t115)) % 33.87/34.07 (step @p151 :rule refl :args (@t117)) % 33.87/34.07 (step @p152 :rule nary_cong :premises (@p151 @p150) :args (@t118)) % 33.87/34.07 (step @p153 :rule refl :args (@t105)) % 33.87/34.07 (step @p154 :rule cong :premises (@p153 @p152) :args ((=> @t105 @t118))) % 33.87/34.07 (assume-push @p208 @t105) % 33.87/34.07 (step @p156 :rule instantiate :premises (@p144) :args (@t119)) % 33.87/34.07 (step-pop @p209 :rule scope :premises (@p156)) % 33.87/34.07 (step @p157 :rule process_scope :premises (@p209) :args (@t118)) % 33.87/34.07 (step @p159 :rule eq_resolve :premises (@p157 @p154)) % 33.87/34.07 (step @p160 :rule implies_elim :premises (@p159)) % 33.87/34.07 (step @p161 :rule chain_m_resolution :premises (@p160 @p144) :args (@t122 @t100 (@list @t105))) % 33.87/34.07 (step @p162 :rule bool-impl-elim :args (@t11 @t10)) % 33.87/34.07 (step @p163 :rule cong :premises (@p162) :args (@t13)) % 33.87/34.07 (step @p164 :rule refl :args (@t14)) % 33.87/34.07 (step @p165 :rule cong :premises (@p164 @p163) :args (@t15)) % 33.87/34.07 (step @p166 :rule cong :premises (@p165) :args (@t16)) % 33.87/34.07 (step @p167 :rule eq_resolve :premises (@p4 @p166)) % 33.87/34.07 (step @p168 :rule instantiate :premises (@p167) :args ((@list @t102 @t86))) % 33.87/34.07 (step @p169 :rule cnf_or_neg :args (@t107 3)) % 33.87/34.07 (step @p170 :rule chain_m_resolution :premises (@p169 @p122) :args ((not @t103) @t108 @t109)) % 33.87/34.07 (step @p171 :rule cnf_equiv_pos2 :args (@t123)) % 33.87/34.07 (step @p172 :rule reordering :premises (@p171) :args ((or @t103 @t124 (not @t123)))) % 33.87/34.07 (step @p173 :rule chain_m_resolution :premises (@p172 @p170 @p168) :args (@t124 @t125 (@list @t103 @t123))) % 33.87/34.07 (step @p174 :rule skolemize :premises (@p173)) % 33.87/34.07 (step @p175 :rule bool-double-not-elim :args (@t116)) % 33.87/34.07 (step @p176 :rule refl :args (@t127)) % 33.87/34.07 (step @p177 :rule nary_cong :premises (@p176 @p175) :args ((or @t127 (not @t117)))) % 33.87/34.07 (step @p178 :rule cnf_or_neg :args (@t127 0)) % 33.87/34.07 (step @p179 :rule eq_resolve :premises (@p178 @p177)) % 33.87/34.07 (step @p180 :rule reordering :premises (@p179) :args ((or @t116 @t127))) % 33.87/34.07 (step @p181 :rule chain_m_resolution :premises (@p180 @p174) :args (@t116 @t108 @t128)) % 33.87/34.07 (step @p182 :rule cnf_or_pos :args (@t122)) % 33.87/34.07 (step @p183 :rule reordering :premises (@p182) :args ((or @t117 @t121 (not @t122)))) % 33.87/34.07 (step @p184 :rule chain_m_resolution :premises (@p183 @p181 @p161) :args (@t121 (@list false false) (@list @t116 @t122))) % 33.87/34.07 (step @p185 :rule cnf_or_neg :args (@t127 1)) % 33.87/34.08 (step @p186 :rule chain_m_resolution :premises (@p185 @p174) :args ((not @t126) @t108 @t128)) % 33.87/34.08 (step @p187 :rule bool-double-not-elim :args (@t120)) % 33.87/34.08 (step @p188 :rule refl :args (@t126)) % 33.87/34.08 (step @p189 :rule refl :args (@t130)) % 33.87/34.08 (step @p190 :rule nary_cong :premises (@p189 @p188 @p187) :args ((or @t130 @t126 (not @t121)))) % 33.87/34.08 (step @p191 :rule cnf_equiv_pos2 :args (@t129)) % 33.87/34.08 (step @p192 :rule eq_resolve :premises (@p191 @p190)) % 33.87/34.08 (step @p193 :rule reordering :premises (@p192) :args ((or @t126 @t120 @t130))) % 33.87/34.08 (step @p194 :rule chain_m_resolution :premises (@p193 @p186 @p184) :args (@t130 (@list true true) (@list @t126 @t120))) % 33.87/34.08 (step @p195 :rule cong :premises (@p188 @p150) :args ((= @t126 @t115))) % 33.87/34.08 (step @p196 :rule eq-symm :args (@t115 @t126)) % 33.87/34.08 (step @p197 :rule trans :premises (@p196 @p195)) % 33.87/34.08 (step @p198 :rule cong :premises (@p81 @p197) :args ((=> @t91 @t131))) % 33.87/34.08 (assume-push @p210 @t91) % 33.87/34.08 (step @p200 :rule instantiate :premises (@p138) :args (@t119)) % 33.87/34.08 (step-pop @p211 :rule scope :premises (@p200)) % 33.87/34.08 (step @p201 :rule process_scope :premises (@p211) :args (@t131)) % 33.87/34.08 (step @p203 :rule eq_resolve :premises (@p201 @p198)) % 33.87/34.08 (step @p204 :rule implies_elim :premises (@p203)) % 33.87/34.08 (step @p205 false :rule chain_m_resolution :premises (@p204 @p194 @p138) :args (false @t125 (@list @t129 @t91))) % 33.87/34.08 ) % 33.87/34.08 % SZS output end Proof % 33.87/34.08 % cvc5 exiting %------------------------------------------------------------------------------