%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU108+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:50:35 AM UTC 2026 % Result : Theorem 0.86s 1.08s % Output : Proof 0.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU108+1 : TPTP v9.2.1. Released v3.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n005.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:29:33 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.86/1.08 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.86/1.08 % SZS status Theorem % 0.86/1.08 % SZS output start Proof % 0.86/1.08 ( % 0.86/1.08 (declare-sort $$unsorted 0) % 0.86/1.08 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.86/1.08 (declare-const tptp.function (-> $$unsorted Bool)) % 0.86/1.08 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.86/1.08 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.86/1.08 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.86/1.08 (declare-const tptp.cap_closed (-> $$unsorted Bool)) % 0.86/1.08 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.86/1.08 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 0.86/1.08 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.86/1.08 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 0.86/1.08 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.86/1.08 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.86/1.08 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.86/1.08 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.86/1.08 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.08 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.86/1.08 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.86/1.08 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.86/1.08 (declare-const tptp.empty_set $$unsorted) % 0.86/1.08 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 0.86/1.08 (declare-const tptp.subset_union2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.08 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.86/1.08 (define @t1 () (@var "A" $$unsorted)) % 0.86/1.08 (define @t2 () (@var "B" $$unsorted)) % 0.86/1.08 (define @t3 () (tptp.in @t2 @t1)) % 0.86/1.08 (define @t4 () (not @t3)) % 0.86/1.08 (define @t5 () (tptp.in @t1 @t2)) % 0.86/1.08 (define @t6 () (@list @t1 @t2)) % 0.86/1.08 (define @t7 () (tptp.finite @t1)) % 0.86/1.08 (define @t8 () (tptp.empty @t1)) % 0.86/1.08 (define @t9 () (@list @t1)) % 0.86/1.08 (define @t10 () (tptp.diff_closed @t1)) % 0.86/1.08 (define @t11 () (tptp.cup_closed @t1)) % 0.86/1.08 (define @t12 () (and @t11 @t10)) % 0.86/1.08 (define @t13 () (tptp.preboolean @t1)) % 0.86/1.08 (define @t14 () (tptp.finite @t2)) % 0.86/1.08 (define @t15 () (tptp.powerset @t1)) % 0.86/1.08 (define @t16 () (tptp.element @t2 @t15)) % 0.86/1.08 (define @t17 () (@list @t2)) % 0.86/1.08 (define @t18 () (tptp.set_union2 @t2 @t1)) % 0.86/1.08 (define @t19 () (tptp.set_union2 @t1 @t2)) % 0.86/1.08 (define @t20 () (@var "C" $$unsorted)) % 0.86/1.08 (define @t21 () (tptp.subset_union2 @t1 @t2 @t20)) % 0.86/1.08 (define @t22 () (tptp.element @t20 @t15)) % 0.86/1.08 (define @t23 () (and @t16 @t22)) % 0.86/1.08 (define @t24 () (@list @t1 @t2 @t20)) % 0.86/1.08 (define @t25 () (tptp.element @t21 @t15)) % 0.86/1.08 (define @t26 () (forall @t24 (=> @t23 @t25))) % 0.86/1.08 (define @t27 () (tptp.subset_difference @t1 @t2 @t20)) % 0.86/1.08 (define @t28 () (tptp.element @t27 @t15)) % 0.86/1.08 (define @t29 () (forall @t24 (=> @t23 @t28))) % 0.86/1.08 (define @t30 () (not @t8)) % 0.86/1.08 (define @t31 () (tptp.empty @t2)) % 0.86/1.08 (define @t32 () (not @t31)) % 0.86/1.08 (define @t33 () (tptp.set_union2 @t2 @t20)) % 0.86/1.08 (define @t34 () (= @t21 @t33)) % 0.86/1.08 (define @t35 () (forall @t24 (=> @t23 @t34))) % 0.86/1.08 (define @t36 () (tptp.set_difference @t2 @t20)) % 0.86/1.08 (define @t37 () (= @t27 @t36)) % 0.86/1.08 (define @t38 () (forall @t24 (=> @t23 @t37))) % 0.86/1.08 (define @t39 () (and (tptp.in @t33 @t1) (tptp.in @t36 @t1))) % 0.86/1.08 (define @t40 () (tptp.in @t20 @t1)) % 0.86/1.08 (define @t41 () (and @t3 @t40)) % 0.86/1.08 (define @t42 () (@list @t2 @t20)) % 0.86/1.08 (define @t43 () (forall @t42 (=> @t41 @t39))) % 0.86/1.08 (define @t44 () (= @t13 @t43)) % 0.86/1.08 (define @t45 () (forall @t9 @t44)) % 0.86/1.08 (define @t46 () (tptp.element @t1 @t2)) % 0.86/1.08 (define @t47 () (forall @t6 (=> @t5 @t46))) % 0.86/1.08 (define @t48 () (forall @t9 (tptp.preboolean @t15))) % 0.86/1.08 (define @t49 () (or @t31 @t5)) % 0.86/1.08 (define @t50 () (forall @t6 (=> @t46 @t49))) % 0.86/1.08 (define @t51 () (tptp.element @t2 (tptp.powerset @t20))) % 0.86/1.08 (define @t52 () (not @t40)) % 0.86/1.08 (define @t53 () (@quantifiers_skolemize @t48 0)) % 0.86/1.08 (define @t54 () (tptp.powerset @t53)) % 0.86/1.08 (define @t55 () (forall @t42 (or (not (tptp.in @t2 @t54)) (not (tptp.in @t20 @t54)) (and (tptp.in @t33 @t54) (tptp.in @t36 @t54))))) % 0.86/1.08 (define @t56 () (tptp.preboolean @t54)) % 0.86/1.08 (define @t57 () (= @t56 @t55)) % 0.86/1.08 (define @t58 () (not @t55)) % 0.86/1.08 (define @t59 () (@quantifiers_skolemize @t55 1)) % 0.86/1.08 (define @t60 () (@quantifiers_skolemize @t55 0)) % 0.86/1.08 (define @t61 () (tptp.set_difference @t60 @t59)) % 0.86/1.08 (define @t62 () (tptp.in @t61 @t54)) % 0.86/1.08 (define @t63 () (tptp.set_union2 @t60 @t59)) % 0.86/1.08 (define @t64 () (tptp.in @t63 @t54)) % 0.86/1.08 (define @t65 () (and @t64 @t62)) % 0.86/1.08 (define @t66 () (tptp.in @t59 @t54)) % 0.86/1.08 (define @t67 () (not @t66)) % 0.86/1.08 (define @t68 () (tptp.in @t60 @t54)) % 0.86/1.08 (define @t69 () (not @t68)) % 0.86/1.08 (define @t70 () (or @t69 @t67 @t65)) % 0.86/1.08 (define @t71 () (@list true)) % 0.86/1.08 (define @t72 () (@list @t70)) % 0.86/1.08 (define @t73 () (not @t46)) % 0.86/1.08 (define @t74 () (not @t22)) % 0.86/1.08 (define @t75 () (not @t16)) % 0.86/1.08 (define @t76 () (or @t75 @t74)) % 0.86/1.08 (define @t77 () (not @t23)) % 0.86/1.08 (define @t78 () (@list @t53 @t60 @t59)) % 0.86/1.08 (define @t79 () (tptp.element @t59 @t54)) % 0.86/1.08 (define @t80 () (or @t67 @t79)) % 0.86/1.08 (define @t81 () (@list false false)) % 0.86/1.08 (define @t82 () (tptp.element @t60 @t54)) % 0.86/1.08 (define @t83 () (or @t69 @t82)) % 0.86/1.08 (define @t84 () (tptp.subset_union2 @t53 @t60 @t59)) % 0.86/1.08 (define @t85 () (tptp.element @t84 @t54)) % 0.86/1.08 (define @t86 () (not @t79)) % 0.86/1.08 (define @t87 () (not @t82)) % 0.86/1.08 (define @t88 () (or @t87 @t86 @t85)) % 0.86/1.08 (define @t89 () (@list false false false)) % 0.86/1.08 (define @t90 () (or @t75 @t74 @t34)) % 0.86/1.08 (define @t91 () (or @t87 @t86 (= @t84 @t63))) % 0.86/1.08 (define @t92 () (forall @t24 @t90)) % 0.86/1.08 (define @t93 () (= @t63 @t84)) % 0.86/1.08 (define @t94 () (or @t87 @t86 @t93)) % 0.86/1.08 (define @t95 () (@list false)) % 0.86/1.08 (define @t96 () (tptp.element @t63 @t54)) % 0.86/1.08 (define @t97 () (tptp.empty @t54)) % 0.86/1.08 (define @t98 () (not @t96)) % 0.86/1.08 (define @t99 () (or @t98 @t97 @t64)) % 0.86/1.08 (define @t100 () (@list true false false)) % 0.86/1.08 (define @t101 () (tptp.subset_difference @t53 @t60 @t59)) % 0.86/1.08 (define @t102 () (tptp.element @t101 @t54)) % 0.86/1.08 (define @t103 () (or @t87 @t86 @t102)) % 0.86/1.08 (define @t104 () (or @t75 @t74 @t37)) % 0.86/1.08 (define @t105 () (or @t87 @t86 (= @t101 @t61))) % 0.86/1.08 (define @t106 () (forall @t24 @t104)) % 0.86/1.08 (define @t107 () (= @t61 @t101)) % 0.86/1.08 (define @t108 () (or @t87 @t86 @t107)) % 0.86/1.08 (define @t109 () (tptp.element @t61 @t54)) % 0.86/1.08 (define @t110 () (not @t109)) % 0.86/1.08 (define @t111 () (or @t110 @t97 @t62)) % 0.86/1.08 (assume @p1 (forall @t6 (=> @t5 @t4))) % 0.86/1.08 (assume @p2 (forall @t9 (=> @t8 @t7))) % 0.86/1.08 (assume @p3 (forall @t9 (=> @t13 @t12))) % 0.86/1.08 (assume @p4 (forall @t9 (=> @t7 (forall @t17 (=> @t16 @t14))))) % 0.86/1.08 (assume @p5 (forall @t9 (=> @t12 @t13))) % 0.86/1.08 (assume @p6 (forall @t6 (= @t19 @t18))) % 0.86/1.08 (assume @p7 (forall @t24 (=> @t23 (= @t21 (tptp.subset_union2 @t1 @t20 @t2))))) % 0.86/1.08 (assume @p8 @t26) % 0.86/1.08 (assume @p9 @t29) % 0.86/1.08 (assume @p10 (forall @t9 (exists @t17 (tptp.element @t2 @t1)))) % 0.86/1.08 (assume @p11 (forall @t6 (=> @t7 (tptp.finite (tptp.set_difference @t1 @t2))))) % 0.86/1.08 (assume @p12 (forall @t9 (not (tptp.empty @t15)))) % 0.86/1.08 (assume @p13 (tptp.empty tptp.empty_set)) % 0.86/1.08 (assume @p14 (forall @t6 (=> @t30 (not (tptp.empty @t19))))) % 0.86/1.08 (assume @p15 (forall @t6 (=> @t30 (not (tptp.empty @t18))))) % 0.86/1.08 (assume @p16 (forall @t6 (=> (and @t7 @t14) (tptp.finite @t19)))) % 0.86/1.08 (assume @p17 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.86/1.08 (assume @p18 (forall @t24 (=> @t23 (= (tptp.subset_union2 @t1 @t2 @t2) @t2)))) % 0.86/1.08 (assume @p19 (exists @t9 (and @t30 @t7))) % 0.86/1.08 (assume @p20 (exists @t9 (and @t30 @t11 (tptp.cap_closed @t1) @t10 @t13))) % 0.86/1.08 (assume @p21 (forall @t9 (=> @t30 (exists @t17 (and @t16 @t32))))) % 0.86/1.08 (assume @p22 (exists @t9 @t8)) % 0.86/1.08 (assume @p23 (forall @t9 (exists @t17 (and @t16 @t31 (tptp.relation @t2) (tptp.function @t2) (tptp.one_to_one @t2) (tptp.epsilon_transitive @t2) (tptp.epsilon_connected @t2) (tptp.ordinal @t2) (tptp.natural @t2) @t14)))) % 0.86/1.08 (assume @p24 (forall @t9 (exists @t17 (and @t16 @t31)))) % 0.86/1.08 (assume @p25 (exists @t9 @t30)) % 0.86/1.08 (assume @p26 (forall @t9 (=> @t30 (exists @t17 (and @t16 @t32 @t14))))) % 0.86/1.08 (assume @p27 @t35) % 0.86/1.08 (assume @p28 @t38) % 0.86/1.08 (assume @p29 (forall @t6 (tptp.subset @t1 @t1))) % 0.86/1.08 (assume @p30 @t45) % 0.86/1.08 (assume @p31 (forall @t9 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.86/1.08 (assume @p32 @t47) % 0.86/1.08 (assume @p33 (not @t48)) % 0.86/1.08 (assume @p34 @t50) % 0.86/1.08 (assume @p35 (forall @t9 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.86/1.08 (assume @p36 (forall @t6 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.86/1.08 (assume @p37 (forall @t9 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.86/1.08 (assume @p38 (forall @t24 (=> (and @t5 @t51) (tptp.element @t1 @t20)))) % 0.86/1.08 (assume @p39 (forall @t24 (not (and @t5 @t51 (tptp.empty @t20))))) % 0.86/1.08 (assume @p40 (forall @t9 (=> @t8 (= @t1 tptp.empty_set)))) % 0.86/1.08 (assume @p41 (forall @t6 (not (and @t5 @t31)))) % 0.86/1.08 (assume @p42 (forall @t6 (not (and @t8 (not (= @t1 @t2)) @t31)))) % 0.86/1.08 (assume @p43 true) % 0.86/1.08 (step @p44 :rule aci_norm :args ((= (or (or @t4 @t52) @t39) (or @t4 @t52 @t39)))) % 0.86/1.08 (step @p45 :rule refl :args (@t39)) % 0.86/1.08 (step @p46 :rule bool-and-de-morgan :args (@t3 @t40 true)) % 0.86/1.08 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or (not @t41) @t39))) % 0.86/1.08 (step @p48 :rule trans :premises (@p47 @p44)) % 0.86/1.08 (step @p49 :rule bool-impl-elim :args (@t41 @t39)) % 0.86/1.08 (step @p50 :rule trans :premises (@p49 @p48)) % 0.86/1.08 (step @p51 :rule cong :premises (@p50) :args (@t43)) % 0.86/1.08 (step @p52 :rule refl :args (@t13)) % 0.86/1.08 (step @p53 :rule cong :premises (@p52 @p51) :args (@t44)) % 0.86/1.08 (step @p54 :rule cong :premises (@p53) :args (@t45)) % 0.86/1.08 (step @p55 :rule eq_resolve :premises (@p30 @p54)) % 0.86/1.08 (step @p56 :rule instantiate :premises (@p55) :args ((@list @t54))) % 0.86/1.08 (step @p57 :rule skolemize :premises (@p33)) % 0.86/1.08 (step @p58 :rule cnf_equiv_pos2 :args (@t57)) % 0.86/1.08 (step @p59 :rule reordering :premises (@p58) :args ((or @t56 @t58 (not @t57)))) % 0.86/1.08 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p56) :args (@t58 (@list true false) (@list @t56 @t57))) % 0.86/1.08 (step @p61 :rule skolemize :premises (@p60)) % 0.86/1.08 (step @p62 :rule cnf_or_neg :args (@t70 2)) % 0.86/1.08 (step @p63 :rule chain_m_resolution :premises (@p62 @p61) :args ((not @t65) @t71 @t72)) % 0.86/1.08 (step @p64 :rule aci_norm :args ((= (or @t73 @t49) (or @t73 @t31 @t5)))) % 0.86/1.08 (step @p65 :rule bool-impl-elim :args (@t46 @t49)) % 0.86/1.08 (step @p66 :rule trans :premises (@p65 @p64)) % 0.86/1.08 (step @p67 :rule cong :premises (@p66) :args (@t50)) % 0.86/1.08 (step @p68 :rule eq_resolve :premises (@p34 @p67)) % 0.86/1.08 (step @p69 :rule instantiate :premises (@p68) :args ((@list @t63 @t54))) % 0.86/1.08 (step @p70 :rule aci_norm :args ((= (or @t76 @t25) (or @t75 @t74 @t25)))) % 0.86/1.08 (step @p71 :rule refl :args (@t25)) % 0.86/1.08 (step @p72 :rule bool-and-de-morgan :args (@t16 @t22 true)) % 0.86/1.08 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t77 @t25))) % 0.86/1.08 (step @p74 :rule trans :premises (@p73 @p70)) % 0.86/1.08 (step @p75 :rule bool-impl-elim :args (@t23 @t25)) % 0.86/1.08 (step @p76 :rule trans :premises (@p75 @p74)) % 0.86/1.08 (step @p77 :rule cong :premises (@p76) :args (@t26)) % 0.86/1.08 (step @p78 :rule eq_resolve :premises (@p8 @p77)) % 0.86/1.08 (step @p79 :rule instantiate :premises (@p78) :args (@t78)) % 0.86/1.08 (step @p80 :rule bool-impl-elim :args (@t5 @t46)) % 0.86/1.08 (step @p81 :rule cong :premises (@p80) :args (@t47)) % 0.86/1.08 (step @p82 :rule eq_resolve :premises (@p32 @p81)) % 0.86/1.08 (step @p83 :rule instantiate :premises (@p82) :args ((@list @t59 @t54))) % 0.86/1.08 (step @p84 :rule bool-double-not-elim :args (@t66)) % 0.86/1.08 (step @p85 :rule refl :args (@t70)) % 0.86/1.08 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t70 (not @t67)))) % 0.86/1.08 (step @p87 :rule cnf_or_neg :args (@t70 1)) % 0.86/1.08 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.86/1.08 (step @p89 :rule reordering :premises (@p88) :args ((or @t66 @t70))) % 0.86/1.08 (step @p90 :rule chain_m_resolution :premises (@p89 @p61) :args (@t66 @t71 @t72)) % 0.86/1.08 (step @p91 :rule cnf_or_pos :args (@t80)) % 0.86/1.08 (step @p92 :rule reordering :premises (@p91) :args ((or @t67 @t79 (not @t80)))) % 0.86/1.08 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p83) :args (@t79 @t81 (@list @t66 @t80))) % 0.86/1.08 (step @p94 :rule instantiate :premises (@p82) :args ((@list @t60 @t54))) % 0.86/1.08 (step @p95 :rule bool-double-not-elim :args (@t68)) % 0.86/1.08 (step @p96 :rule nary_cong :premises (@p85 @p95) :args ((or @t70 (not @t69)))) % 0.86/1.08 (step @p97 :rule cnf_or_neg :args (@t70 0)) % 0.86/1.08 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 0.86/1.08 (step @p99 :rule reordering :premises (@p98) :args ((or @t68 @t70))) % 0.86/1.08 (step @p100 :rule chain_m_resolution :premises (@p99 @p61) :args (@t68 @t71 @t72)) % 0.86/1.08 (step @p101 :rule cnf_or_pos :args (@t83)) % 0.86/1.08 (step @p102 :rule reordering :premises (@p101) :args ((or @t69 @t82 (not @t83)))) % 0.86/1.08 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p94) :args (@t82 @t81 (@list @t68 @t83))) % 0.86/1.08 (step @p104 :rule cnf_or_pos :args (@t88)) % 0.86/1.08 (step @p105 :rule reordering :premises (@p104) :args ((or @t87 @t86 @t85 (not @t88)))) % 0.86/1.08 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p93 @p79) :args (@t85 @t89 (@list @t82 @t79 @t88))) % 0.86/1.08 (step @p107 :rule true_intro :premises (@p106)) % 0.86/1.08 (step @p108 :rule refl :args (@t54)) % 0.86/1.08 (step @p109 :rule aci_norm :args ((= (or @t76 @t34) @t90))) % 0.86/1.08 (step @p110 :rule refl :args (@t34)) % 0.86/1.08 (step @p111 :rule nary_cong :premises (@p72 @p110) :args ((or @t77 @t34))) % 0.86/1.08 (step @p112 :rule trans :premises (@p111 @p109)) % 0.86/1.08 (step @p113 :rule bool-impl-elim :args (@t23 @t34)) % 0.86/1.08 (step @p114 :rule trans :premises (@p113 @p112)) % 0.86/1.08 (step @p115 :rule cong :premises (@p114) :args (@t35)) % 0.86/1.08 (step @p116 :rule eq_resolve :premises (@p27 @p115)) % 0.86/1.08 (step @p117 :rule eq-symm :args (@t84 @t63)) % 0.86/1.08 (step @p118 :rule refl :args (@t86)) % 0.86/1.08 (step @p119 :rule refl :args (@t87)) % 0.86/1.08 (step @p120 :rule nary_cong :premises (@p119 @p118 @p117) :args (@t91)) % 0.86/1.08 (step @p121 :rule refl :args (@t92)) % 0.86/1.08 (step @p122 :rule cong :premises (@p121 @p120) :args ((=> @t92 @t91))) % 0.86/1.08 (assume-push @p184 @t92) % 0.86/1.08 (step @p124 :rule instantiate :premises (@p116) :args (@t78)) % 0.86/1.08 (step-pop @p185 :rule scope :premises (@p124)) % 0.86/1.08 (step @p125 :rule process_scope :premises (@p185) :args (@t91)) % 0.86/1.08 (step @p127 :rule eq_resolve :premises (@p125 @p122)) % 0.86/1.08 (step @p128 :rule implies_elim :premises (@p127)) % 0.86/1.08 (step @p129 :rule chain_m_resolution :premises (@p128 @p116) :args (@t94 @t95 (@list @t92))) % 0.86/1.08 (step @p130 :rule cnf_or_pos :args (@t94)) % 0.86/1.08 (step @p131 :rule reordering :premises (@p130) :args ((or @t87 @t86 @t93 (not @t94)))) % 0.86/1.08 (step @p132 :rule chain_m_resolution :premises (@p131 @p103 @p93 @p129) :args (@t93 @t89 (@list @t82 @t79 @t94))) % 0.86/1.08 (step @p133 :rule cong :premises (@p132 @p108) :args (@t96)) % 0.86/1.08 (step @p134 :rule trans :premises (@p133 @p107)) % 0.86/1.08 (step @p135 :rule true_elim :premises (@p134)) % 0.86/1.08 (step @p136 :rule instantiate :premises (@p12) :args ((@list @t53))) % 0.86/1.08 (step @p137 :rule cnf_or_pos :args (@t99)) % 0.86/1.08 (step @p138 :rule reordering :premises (@p137) :args ((or @t97 @t64 @t98 (not @t99)))) % 0.86/1.08 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p135 @p69) :args (@t64 @t100 (@list @t97 @t96 @t99))) % 0.86/1.08 (step @p140 :rule instantiate :premises (@p68) :args ((@list @t61 @t54))) % 0.86/1.08 (step @p141 :rule aci_norm :args ((= (or @t76 @t28) (or @t75 @t74 @t28)))) % 0.86/1.08 (step @p142 :rule refl :args (@t28)) % 0.86/1.08 (step @p143 :rule nary_cong :premises (@p72 @p142) :args ((or @t77 @t28))) % 0.86/1.08 (step @p144 :rule trans :premises (@p143 @p141)) % 0.86/1.08 (step @p145 :rule bool-impl-elim :args (@t23 @t28)) % 0.86/1.08 (step @p146 :rule trans :premises (@p145 @p144)) % 0.86/1.08 (step @p147 :rule cong :premises (@p146) :args (@t29)) % 0.86/1.08 (step @p148 :rule eq_resolve :premises (@p9 @p147)) % 0.86/1.08 (step @p149 :rule instantiate :premises (@p148) :args (@t78)) % 0.86/1.08 (step @p150 :rule cnf_or_pos :args (@t103)) % 0.86/1.08 (step @p151 :rule reordering :premises (@p150) :args ((or @t87 @t86 @t102 (not @t103)))) % 0.86/1.08 (step @p152 :rule chain_m_resolution :premises (@p151 @p103 @p93 @p149) :args (@t102 @t89 (@list @t82 @t79 @t103))) % 0.86/1.08 (step @p153 :rule true_intro :premises (@p152)) % 0.86/1.08 (step @p154 :rule aci_norm :args ((= (or @t76 @t37) @t104))) % 0.86/1.08 (step @p155 :rule refl :args (@t37)) % 0.86/1.08 (step @p156 :rule nary_cong :premises (@p72 @p155) :args ((or @t77 @t37))) % 0.86/1.08 (step @p157 :rule trans :premises (@p156 @p154)) % 0.86/1.08 (step @p158 :rule bool-impl-elim :args (@t23 @t37)) % 0.86/1.08 (step @p159 :rule trans :premises (@p158 @p157)) % 0.86/1.08 (step @p160 :rule cong :premises (@p159) :args (@t38)) % 0.86/1.08 (step @p161 :rule eq_resolve :premises (@p28 @p160)) % 0.86/1.08 (step @p162 :rule eq-symm :args (@t101 @t61)) % 0.86/1.08 (step @p163 :rule nary_cong :premises (@p119 @p118 @p162) :args (@t105)) % 0.86/1.08 (step @p164 :rule refl :args (@t106)) % 0.86/1.08 (step @p165 :rule cong :premises (@p164 @p163) :args ((=> @t106 @t105))) % 0.86/1.08 (assume-push @p186 @t106) % 0.86/1.08 (step @p167 :rule instantiate :premises (@p161) :args (@t78)) % 0.86/1.08 (step-pop @p187 :rule scope :premises (@p167)) % 0.86/1.08 (step @p168 :rule process_scope :premises (@p187) :args (@t105)) % 0.86/1.08 (step @p170 :rule eq_resolve :premises (@p168 @p165)) % 0.86/1.08 (step @p171 :rule implies_elim :premises (@p170)) % 0.86/1.08 (step @p172 :rule chain_m_resolution :premises (@p171 @p161) :args (@t108 @t95 (@list @t106))) % 0.86/1.08 (step @p173 :rule cnf_or_pos :args (@t108)) % 0.86/1.08 (step @p174 :rule reordering :premises (@p173) :args ((or @t87 @t86 @t107 (not @t108)))) % 0.86/1.08 (step @p175 :rule chain_m_resolution :premises (@p174 @p103 @p93 @p172) :args (@t107 @t89 (@list @t82 @t79 @t108))) % 0.86/1.08 (step @p176 :rule cong :premises (@p175 @p108) :args (@t109)) % 0.86/1.08 (step @p177 :rule trans :premises (@p176 @p153)) % 0.86/1.08 (step @p178 :rule true_elim :premises (@p177)) % 0.86/1.08 (step @p179 :rule cnf_or_pos :args (@t111)) % 0.86/1.08 (step @p180 :rule reordering :premises (@p179) :args ((or @t97 @t62 @t110 (not @t111)))) % 0.86/1.08 (step @p181 :rule chain_m_resolution :premises (@p180 @p136 @p178 @p140) :args (@t62 @t100 (@list @t97 @t109 @t111))) % 0.86/1.08 (step @p182 :rule cnf_and_neg :args (@t65)) % 0.86/1.08 (step @p183 false :rule chain_m_resolution :premises (@p182 @p181 @p139 @p63) :args (false (@list false false true) (@list @t62 @t64 @t65))) % 0.86/1.08 ) % 0.86/1.08 % SZS output end Proof % 0.86/1.09 % cvc5 exiting %------------------------------------------------------------------------------