%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU307+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:51:19 AM UTC 2026 % Result : Theorem 0.39s 0.60s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU307+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n008.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 16:55:33 EDT 2026 % 0.16/0.33 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.60 % SZS status Theorem % 0.39/0.60 % SZS output start Proof % 0.39/0.60 ( % 0.39/0.60 (declare-sort $$unsorted 0) % 0.39/0.60 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.empty_set $$unsorted) % 0.39/0.60 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 0.39/0.60 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.39/0.60 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.39/0.60 (define @t1 () (@var "A" $$unsorted)) % 0.39/0.60 (define @t2 () (@var "B" $$unsorted)) % 0.39/0.60 (define @t3 () (tptp.in @t1 @t2)) % 0.39/0.60 (define @t4 () (@list @t1 @t2)) % 0.39/0.60 (define @t5 () (tptp.v4_membered @t1)) % 0.39/0.60 (define @t6 () (tptp.v5_membered @t1)) % 0.39/0.60 (define @t7 () (@list @t1)) % 0.39/0.60 (define @t8 () (tptp.v3_membered @t1)) % 0.39/0.60 (define @t9 () (tptp.v2_membered @t1)) % 0.39/0.60 (define @t10 () (tptp.v1_membered @t1)) % 0.39/0.60 (define @t11 () (tptp.empty @t1)) % 0.39/0.60 (define @t12 () (not @t11)) % 0.39/0.60 (define @t13 () (tptp.v1_xcmplx_0 @t2)) % 0.39/0.60 (define @t14 () (tptp.element @t2 @t1)) % 0.39/0.60 (define @t15 () (@list @t2)) % 0.39/0.60 (define @t16 () (tptp.v1_xreal_0 @t2)) % 0.39/0.60 (define @t17 () (tptp.v1_rat_1 @t2)) % 0.39/0.60 (define @t18 () (tptp.v1_int_1 @t2)) % 0.39/0.60 (define @t19 () (tptp.v1_membered @t2)) % 0.39/0.60 (define @t20 () (tptp.powerset @t1)) % 0.39/0.60 (define @t21 () (tptp.element @t2 @t20)) % 0.39/0.60 (define @t22 () (tptp.v2_membered @t2)) % 0.39/0.60 (define @t23 () (tptp.v3_membered @t2)) % 0.39/0.60 (define @t24 () (tptp.v4_membered @t2)) % 0.39/0.60 (define @t25 () (tptp.set_intersection2 @t1 @t2)) % 0.39/0.60 (define @t26 () (tptp.v1_membered @t25)) % 0.39/0.60 (define @t27 () (tptp.set_intersection2 @t2 @t1)) % 0.39/0.60 (define @t28 () (tptp.v1_membered @t27)) % 0.39/0.60 (define @t29 () (tptp.v2_membered @t25)) % 0.39/0.60 (define @t30 () (tptp.v2_membered @t27)) % 0.39/0.60 (define @t31 () (tptp.v3_membered @t25)) % 0.39/0.60 (define @t32 () (tptp.v3_membered @t27)) % 0.39/0.60 (define @t33 () (tptp.v4_membered @t25)) % 0.39/0.60 (define @t34 () (tptp.v4_membered @t27)) % 0.39/0.60 (define @t35 () (tptp.element @t1 @t2)) % 0.39/0.60 (define @t36 () (@var "C" $$unsorted)) % 0.39/0.60 (define @t37 () (tptp.element @t2 (tptp.powerset @t36))) % 0.39/0.60 (define @t38 () (@list @t1 @t2 @t36)) % 0.39/0.60 (define @t39 () (tptp.empty @t2)) % 0.39/0.60 (define @t40 () (tptp.subset_intersection2 @t1 @t2 @t36)) % 0.39/0.60 (define @t41 () (tptp.element @t36 @t20)) % 0.39/0.60 (define @t42 () (and @t21 @t41)) % 0.39/0.60 (define @t43 () (tptp.one_sorted_str @t1)) % 0.39/0.60 (define @t44 () (= @t40 (tptp.set_intersection2 @t2 @t36))) % 0.39/0.60 (define @t45 () (forall @t38 (=> @t42 @t44))) % 0.39/0.60 (define @t46 () (tptp.the_carrier @t1)) % 0.39/0.60 (define @t47 () (tptp.powerset @t46)) % 0.39/0.60 (define @t48 () (tptp.cast_as_carrier_subset @t1)) % 0.39/0.60 (define @t49 () (tptp.element @t48 @t47)) % 0.39/0.60 (define @t50 () (forall @t7 (=> @t43 @t49))) % 0.39/0.60 (define @t51 () (tptp.subset @t1 @t2)) % 0.39/0.60 (define @t52 () (= @t48 @t46)) % 0.39/0.60 (define @t53 () (forall @t7 (=> @t43 @t52))) % 0.39/0.60 (define @t54 () (tptp.subset_intersection2 @t46 @t2 @t48)) % 0.39/0.60 (define @t55 () (tptp.element @t2 @t47)) % 0.39/0.60 (define @t56 () (=> @t55 (= @t54 @t2))) % 0.39/0.60 (define @t57 () (forall @t15 @t56)) % 0.39/0.60 (define @t58 () (=> @t43 @t57)) % 0.39/0.60 (define @t59 () (forall @t7 @t58)) % 0.39/0.60 (define @t60 () (not @t59)) % 0.39/0.60 (define @t61 () (=> @t51 (= @t25 @t1))) % 0.39/0.60 (define @t62 () (forall @t4 @t61)) % 0.39/0.60 (define @t63 () (@var "BOUND_VARIABLE_8039" $$unsorted)) % 0.39/0.60 (define @t64 () (= @t63 (tptp.subset_intersection2 @t46 @t63 @t48))) % 0.39/0.60 (define @t65 () (not (tptp.element @t63 @t47))) % 0.39/0.60 (define @t66 () (not @t43)) % 0.39/0.60 (define @t67 () (or @t66 @t65 @t64)) % 0.39/0.60 (define @t68 () (or @t65 @t64)) % 0.39/0.60 (define @t69 () (or @t66 @t68)) % 0.39/0.60 (define @t70 () (@list @t1 @t63)) % 0.39/0.60 (define @t71 () (forall @t70 @t69)) % 0.39/0.60 (define @t72 () (@list @t63)) % 0.39/0.60 (define @t73 () (forall @t72 @t69)) % 0.39/0.60 (define @t74 () (forall @t72 @t68)) % 0.39/0.60 (define @t75 () (or @t66 @t74)) % 0.39/0.60 (define @t76 () (= @t2 @t54)) % 0.39/0.60 (define @t77 () (forall @t15 (or (not @t55) @t76))) % 0.39/0.60 (define @t78 () (forall @t70 @t67)) % 0.39/0.60 (define @t79 () (@quantifiers_skolemize @t78 0)) % 0.39/0.60 (define @t80 () (tptp.cast_as_carrier_subset @t79)) % 0.39/0.60 (define @t81 () (@quantifiers_skolemize @t78 1)) % 0.39/0.60 (define @t82 () (tptp.the_carrier @t79)) % 0.39/0.60 (define @t83 () (tptp.subset_intersection2 @t82 @t81 @t80)) % 0.39/0.60 (define @t84 () (= @t81 @t83)) % 0.39/0.60 (define @t85 () (tptp.powerset @t82)) % 0.39/0.60 (define @t86 () (tptp.element @t81 @t85)) % 0.39/0.60 (define @t87 () (not @t86)) % 0.39/0.60 (define @t88 () (tptp.one_sorted_str @t79)) % 0.39/0.60 (define @t89 () (not @t88)) % 0.39/0.60 (define @t90 () (or @t89 @t87 @t84)) % 0.39/0.60 (define @t91 () (not @t84)) % 0.39/0.60 (define @t92 () (@list true)) % 0.39/0.60 (define @t93 () (@list @t90)) % 0.39/0.60 (define @t94 () (or @t89 (= @t80 @t82))) % 0.39/0.60 (define @t95 () (forall @t7 (or @t66 @t52))) % 0.39/0.60 (define @t96 () (@list @t79)) % 0.39/0.60 (define @t97 () (= @t82 @t80)) % 0.39/0.60 (define @t98 () (or @t89 @t97)) % 0.39/0.60 (define @t99 () (@list false false)) % 0.39/0.60 (define @t100 () (not @t41)) % 0.39/0.60 (define @t101 () (not @t21)) % 0.39/0.60 (define @t102 () (tptp.element @t80 @t85)) % 0.39/0.60 (define @t103 () (or @t89 @t102)) % 0.39/0.60 (define @t104 () (= @t83 (tptp.set_intersection2 @t81 @t80))) % 0.39/0.60 (define @t105 () (not @t102)) % 0.39/0.60 (define @t106 () (or @t87 @t105 @t104)) % 0.39/0.60 (define @t107 () (= @t1 @t25)) % 0.39/0.60 (define @t108 () (@list @t81 @t82)) % 0.39/0.60 (define @t109 () (tptp.subset @t81 @t82)) % 0.39/0.60 (define @t110 () (= @t86 @t109)) % 0.39/0.60 (define @t111 () (tptp.set_intersection2 @t81 @t82)) % 0.39/0.60 (define @t112 () (= @t81 @t111)) % 0.39/0.60 (define @t113 () (not @t109)) % 0.39/0.60 (define @t114 () (or @t113 @t112)) % 0.39/0.60 (define @t115 () (not @t112)) % 0.39/0.60 (define @t116 () (not @t97)) % 0.39/0.60 (define @t117 () (not @t104)) % 0.39/0.60 (define @t118 () (and @t115 @t112)) % 0.39/0.60 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.39/0.60 (assume @p2 true) % 0.39/0.60 (assume @p3 (forall @t7 (=> @t6 @t5))) % 0.39/0.60 (assume @p4 (forall @t7 (=> @t5 @t8))) % 0.39/0.60 (assume @p5 (forall @t7 (=> @t8 @t9))) % 0.39/0.60 (assume @p6 (forall @t7 (=> @t9 @t10))) % 0.39/0.60 (assume @p7 (exists @t7 (and @t12 @t10 @t9 @t8 @t5 @t6))) % 0.39/0.60 (assume @p8 (forall @t7 (=> @t10 (forall @t15 (=> @t14 @t13))))) % 0.39/0.60 (assume @p9 (forall @t7 (=> @t9 (forall @t15 (=> @t14 (and @t13 @t16)))))) % 0.39/0.60 (assume @p10 (forall @t7 (=> @t8 (forall @t15 (=> @t14 (and @t13 @t16 @t17)))))) % 0.39/0.60 (assume @p11 (forall @t7 (=> @t5 (forall @t15 (=> @t14 (and @t13 @t16 @t18 @t17)))))) % 0.39/0.60 (assume @p12 (forall @t7 (=> @t6 (forall @t15 (=> @t14 (and @t13 (tptp.natural @t2) @t16 @t18 @t17)))))) % 0.39/0.60 (assume @p13 (and (tptp.empty tptp.empty_set) (tptp.v1_membered tptp.empty_set) (tptp.v2_membered tptp.empty_set) (tptp.v3_membered tptp.empty_set) (tptp.v4_membered tptp.empty_set) (tptp.v5_membered tptp.empty_set))) % 0.39/0.60 (assume @p14 (forall @t7 (=> @t10 (forall @t15 (=> @t21 @t19))))) % 0.39/0.60 (assume @p15 (forall @t7 (=> @t9 (forall @t15 (=> @t21 (and @t19 @t22)))))) % 0.39/0.60 (assume @p16 (forall @t7 (=> @t8 (forall @t15 (=> @t21 (and @t19 @t22 @t23)))))) % 0.39/0.60 (assume @p17 (forall @t7 (=> @t5 (forall @t15 (=> @t21 (and @t19 @t22 @t23 @t24)))))) % 0.39/0.60 (assume @p18 (forall @t7 (=> @t6 (forall @t15 (=> @t21 (and @t19 @t22 @t23 @t24 (tptp.v5_membered @t2))))))) % 0.39/0.60 (assume @p19 (forall @t4 (=> @t10 @t26))) % 0.39/0.60 (assume @p20 (forall @t4 (=> @t10 @t28))) % 0.39/0.60 (assume @p21 (forall @t4 (=> @t9 (and @t26 @t29)))) % 0.39/0.60 (assume @p22 (forall @t4 (=> @t9 (and @t28 @t30)))) % 0.39/0.60 (assume @p23 (forall @t4 (=> @t8 (and @t26 @t29 @t31)))) % 0.39/0.60 (assume @p24 (forall @t4 (=> @t8 (and @t28 @t30 @t32)))) % 0.39/0.60 (assume @p25 (forall @t4 (=> @t5 (and @t26 @t29 @t31 @t33)))) % 0.39/0.60 (assume @p26 (forall @t4 (=> @t5 (and @t28 @t30 @t32 @t34)))) % 0.39/0.60 (assume @p27 (forall @t4 (=> @t6 (and @t26 @t29 @t31 @t33 (tptp.v5_membered @t25))))) % 0.39/0.60 (assume @p28 (forall @t4 (=> @t6 (and @t28 @t30 @t32 @t34 (tptp.v5_membered @t27))))) % 0.39/0.60 (assume @p29 (forall @t4 (=> @t3 @t35))) % 0.39/0.60 (assume @p30 (forall @t7 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.39/0.60 (assume @p31 (forall @t38 (=> (and @t3 @t37) (tptp.element @t1 @t36)))) % 0.39/0.60 (assume @p32 (forall @t38 (not (and @t3 @t37 (tptp.empty @t36))))) % 0.39/0.60 (assume @p33 (forall @t7 (=> @t12 (exists @t15 (and @t21 (not @t39)))))) % 0.39/0.60 (assume @p34 (forall @t7 (exists @t15 (and @t21 @t39)))) % 0.39/0.60 (assume @p35 (forall @t7 (=> @t11 (and @t10 @t9 @t8 @t5 @t6)))) % 0.39/0.60 (assume @p36 (forall @t4 (=> @t35 (or @t39 @t3)))) % 0.39/0.60 (assume @p37 (forall @t7 (=> @t11 (= @t1 tptp.empty_set)))) % 0.39/0.60 (assume @p38 (forall @t4 (not (and @t3 @t39)))) % 0.39/0.60 (assume @p39 (forall @t4 (not (and @t11 (not (= @t1 @t2)) @t39)))) % 0.39/0.60 (assume @p40 (forall @t4 (= @t25 @t27))) % 0.39/0.60 (assume @p41 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.39/0.60 (assume @p42 (forall @t38 (=> @t42 (= @t40 (tptp.subset_intersection2 @t1 @t36 @t2))))) % 0.39/0.60 (assume @p43 (forall @t38 (=> @t42 (= (tptp.subset_intersection2 @t1 @t2 @t2) @t2)))) % 0.39/0.60 (assume @p44 (forall @t4 (tptp.subset @t1 @t1))) % 0.39/0.60 (assume @p45 (exists @t7 @t43)) % 0.39/0.60 (assume @p46 (forall @t7 (exists @t15 @t14))) % 0.39/0.60 (assume @p47 @t45) % 0.39/0.60 (assume @p48 @t50) % 0.39/0.60 (assume @p49 (forall @t38 (=> @t42 (tptp.element @t40 @t20)))) % 0.39/0.60 (assume @p50 (forall @t7 (not (tptp.empty @t20)))) % 0.39/0.60 (assume @p51 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) @t51))) % 0.39/0.60 (assume @p52 @t53) % 0.39/0.60 (assume @p53 @t60) % 0.39/0.60 (assume @p54 @t62) % 0.39/0.60 (step @p55 :rule aci_norm :args ((= @t69 @t67))) % 0.39/0.60 (step @p56 :rule cong :premises (@p55) :args (@t71)) % 0.39/0.60 (step @p57 :rule quant-merge-prenex :args ((= (forall @t7 @t73) @t71))) % 0.39/0.60 (step @p58 :rule alpha_equiv :args (@t74 (@list @t63) (@list @t2))) % 0.39/0.60 (step @p59 :rule refl :args (@t66)) % 0.39/0.60 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t75)) % 0.39/0.60 (step @p61 :rule quant-miniscope-or :args ((= @t73 @t75))) % 0.39/0.60 (step @p62 :rule trans :premises (@p61 @p60)) % 0.39/0.60 (step @p63 :rule symm :premises (@p62)) % 0.39/0.60 (step @p64 :rule cong :premises (@p63) :args ((forall @t7 (or @t66 @t77)))) % 0.39/0.60 (step @p65 :rule trans :premises (@p64 @p57)) % 0.39/0.60 (step @p66 :rule trans :premises (@p65 @p56)) % 0.39/0.60 (step @p67 :rule bool-impl-elim :args (@t43 @t77)) % 0.39/0.60 (step @p68 :rule cong :premises (@p67) :args ((forall @t7 (=> @t43 @t77)))) % 0.39/0.60 (step @p69 :rule trans :premises (@p68 @p66)) % 0.39/0.60 (step @p70 :rule bool-impl-elim :args (@t55 @t76)) % 0.39/0.60 (step @p71 :rule cong :premises (@p70) :args ((forall @t15 (=> @t55 @t76)))) % 0.39/0.60 (step @p72 :rule eq-symm :args (@t54 @t2)) % 0.39/0.60 (step @p73 :rule refl :args (@t55)) % 0.39/0.60 (step @p74 :rule cong :premises (@p73 @p72) :args (@t56)) % 0.39/0.60 (step @p75 :rule cong :premises (@p74) :args (@t57)) % 0.39/0.60 (step @p76 :rule trans :premises (@p75 @p71)) % 0.39/0.60 (step @p77 :rule refl :args (@t43)) % 0.39/0.60 (step @p78 :rule cong :premises (@p77 @p76) :args (@t58)) % 0.39/0.60 (step @p79 :rule cong :premises (@p78) :args (@t59)) % 0.39/0.60 (step @p80 :rule trans :premises (@p79 @p69)) % 0.39/0.60 (step @p81 :rule cong :premises (@p80) :args (@t60)) % 0.39/0.60 (step @p82 :rule eq_resolve :premises (@p53 @p81)) % 0.39/0.60 (step @p83 :rule skolemize :premises (@p82)) % 0.39/0.60 (step @p84 :rule cnf_or_neg :args (@t90 2)) % 0.39/0.60 (step @p85 :rule chain_m_resolution :premises (@p84 @p83) :args (@t91 @t92 @t93)) % 0.39/0.60 (step @p86 :rule bool-impl-elim :args (@t43 @t52)) % 0.39/0.60 (step @p87 :rule cong :premises (@p86) :args (@t53)) % 0.39/0.60 (step @p88 :rule eq_resolve :premises (@p52 @p87)) % 0.39/0.60 (step @p89 :rule eq-symm :args (@t80 @t82)) % 0.39/0.60 (step @p90 :rule refl :args (@t89)) % 0.39/0.60 (step @p91 :rule nary_cong :premises (@p90 @p89) :args (@t94)) % 0.39/0.60 (step @p92 :rule refl :args (@t95)) % 0.39/0.60 (step @p93 :rule cong :premises (@p92 @p91) :args ((=> @t95 @t94))) % 0.39/0.60 (assume-push @p192 @t95) % 0.39/0.60 (step @p95 :rule instantiate :premises (@p88) :args (@t96)) % 0.39/0.60 (step-pop @p193 :rule scope :premises (@p95)) % 0.39/0.60 (step @p96 :rule process_scope :premises (@p193) :args (@t94)) % 0.39/0.60 (step @p98 :rule eq_resolve :premises (@p96 @p93)) % 0.39/0.60 (step @p99 :rule implies_elim :premises (@p98)) % 0.39/0.60 (step @p100 :rule chain_m_resolution :premises (@p99 @p88) :args (@t98 (@list false) (@list @t95))) % 0.39/0.60 (step @p101 :rule bool-double-not-elim :args (@t88)) % 0.39/0.60 (step @p102 :rule refl :args (@t90)) % 0.39/0.60 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((or @t90 (not @t89)))) % 0.39/0.60 (step @p104 :rule cnf_or_neg :args (@t90 0)) % 0.39/0.60 (step @p105 :rule eq_resolve :premises (@p104 @p103)) % 0.39/0.60 (step @p106 :rule reordering :premises (@p105) :args ((or @t88 @t90))) % 0.39/0.60 (step @p107 :rule chain_m_resolution :premises (@p106 @p83) :args (@t88 @t92 @t93)) % 0.39/0.60 (step @p108 :rule cnf_or_pos :args (@t98)) % 0.39/0.60 (step @p109 :rule reordering :premises (@p108) :args ((or @t89 @t97 (not @t98)))) % 0.39/0.60 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p100) :args (@t97 @t99 (@list @t88 @t98))) % 0.39/0.60 (step @p111 :rule aci_norm :args ((= (or (or @t101 @t100) @t44) (or @t101 @t100 @t44)))) % 0.39/0.60 (step @p112 :rule refl :args (@t44)) % 0.39/0.60 (step @p113 :rule bool-and-de-morgan :args (@t21 @t41 true)) % 0.39/0.60 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or (not @t42) @t44))) % 0.39/0.60 (step @p115 :rule trans :premises (@p114 @p111)) % 0.39/0.60 (step @p116 :rule bool-impl-elim :args (@t42 @t44)) % 0.39/0.60 (step @p117 :rule trans :premises (@p116 @p115)) % 0.39/0.60 (step @p118 :rule cong :premises (@p117) :args (@t45)) % 0.39/0.60 (step @p119 :rule eq_resolve :premises (@p47 @p118)) % 0.39/0.60 (step @p120 :rule instantiate :premises (@p119) :args ((@list @t82 @t81 @t80))) % 0.39/0.60 (step @p121 :rule bool-impl-elim :args (@t43 @t49)) % 0.39/0.60 (step @p122 :rule cong :premises (@p121) :args (@t50)) % 0.39/0.60 (step @p123 :rule eq_resolve :premises (@p48 @p122)) % 0.39/0.60 (step @p124 :rule instantiate :premises (@p123) :args (@t96)) % 0.39/0.60 (step @p125 :rule cnf_or_pos :args (@t103)) % 0.39/0.60 (step @p126 :rule reordering :premises (@p125) :args ((or @t89 @t102 (not @t103)))) % 0.39/0.60 (step @p127 :rule chain_m_resolution :premises (@p126 @p107 @p124) :args (@t102 @t99 (@list @t88 @t103))) % 0.39/0.60 (step @p128 :rule bool-double-not-elim :args (@t86)) % 0.39/0.60 (step @p129 :rule nary_cong :premises (@p102 @p128) :args ((or @t90 (not @t87)))) % 0.39/0.60 (step @p130 :rule cnf_or_neg :args (@t90 1)) % 0.39/0.60 (step @p131 :rule eq_resolve :premises (@p130 @p129)) % 0.39/0.60 (step @p132 :rule reordering :premises (@p131) :args ((or @t86 @t90))) % 0.39/0.60 (step @p133 :rule chain_m_resolution :premises (@p132 @p83) :args (@t86 @t92 @t93)) % 0.39/0.60 (step @p134 :rule cnf_or_pos :args (@t106)) % 0.39/0.60 (step @p135 :rule reordering :premises (@p134) :args ((or @t87 @t105 @t104 (not @t106)))) % 0.39/0.60 (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p127 @p120) :args (@t104 (@list false false false) (@list @t86 @t102 @t106))) % 0.39/0.60 (step @p137 :rule bool-impl-elim :args (@t51 @t107)) % 0.39/0.60 (step @p138 :rule cong :premises (@p137) :args ((forall @t4 (=> @t51 @t107)))) % 0.39/0.60 (step @p139 :rule eq-symm :args (@t25 @t1)) % 0.39/0.60 (step @p140 :rule refl :args (@t51)) % 0.39/0.60 (step @p141 :rule cong :premises (@p140 @p139) :args (@t61)) % 0.39/0.60 (step @p142 :rule cong :premises (@p141) :args (@t62)) % 0.39/0.60 (step @p143 :rule trans :premises (@p142 @p138)) % 0.39/0.60 (step @p144 :rule eq_resolve :premises (@p54 @p143)) % 0.39/0.60 (step @p145 :rule instantiate :premises (@p144) :args (@t108)) % 0.39/0.60 (step @p146 :rule instantiate :premises (@p51) :args (@t108)) % 0.39/0.60 (step @p147 :rule cnf_equiv_pos1 :args (@t110)) % 0.39/0.60 (step @p148 :rule reordering :premises (@p147) :args ((or @t87 @t109 (not @t110)))) % 0.39/0.60 (step @p149 :rule chain_m_resolution :premises (@p148 @p133 @p146) :args (@t109 @t99 (@list @t86 @t110))) % 0.39/0.60 (step @p150 :rule cnf_or_pos :args (@t114)) % 0.39/0.60 (step @p151 :rule reordering :premises (@p150) :args ((or @t113 @t112 (not @t114)))) % 0.39/0.60 (step @p152 :rule chain_m_resolution :premises (@p151 @p149 @p145) :args (@t112 @t99 (@list @t109 @t114))) % 0.39/0.60 (step @p153 :rule refl :args (@t115)) % 0.39/0.60 (step @p154 :rule refl :args (@t116)) % 0.39/0.60 (step @p155 :rule refl :args (@t117)) % 0.39/0.60 (step @p156 :rule bool-double-not-elim :args (@t84)) % 0.39/0.60 (step @p157 :rule nary_cong :premises (@p156 @p155 @p154 @p153) :args ((or (not @t91) @t117 @t116 @t115))) % 0.39/0.60 (assume-push @p194 @t115) % 0.39/0.60 (assume-push @p195 @t112) % 0.39/0.60 (step @p160 :rule evaluate :args ((= false true))) % 0.39/0.60 (step @p161 :rule true_intro :premises (@p152)) % 0.39/0.60 (step @p162 :rule false_intro :premises (@p85)) % 0.39/0.60 (step @p163 :rule symm :premises (@p136)) % 0.39/0.60 (step @p164 :rule refl :args (@t81)) % 0.39/0.60 (step @p165 :rule cong :premises (@p164 @p110) :args (@t111)) % 0.39/0.60 (step @p166 :rule trans :premises (@p165 @p163)) % 0.39/0.60 (step @p167 :rule cong :premises (@p164 @p166) :args (@t112)) % 0.39/0.60 (step @p168 :rule trans :premises (@p167 @p162)) % 0.39/0.60 (step @p169 :rule symm :premises (@p168)) % 0.39/0.60 (step @p170 :rule trans :premises (@p169 @p161)) % 0.39/0.60 (step @p171 false :rule eq_resolve :premises (@p170 @p160)) % 0.39/0.60 (step-pop @p196 :rule scope :premises (@p171)) % 0.39/0.60 (step-pop @p197 :rule scope :premises (@p196)) % 0.39/0.60 (step @p172 :rule process_scope :premises (@p197) :args (false)) % 0.39/0.60 (assume-push @p198 @t91) % 0.39/0.60 (assume-push @p199 @t104) % 0.39/0.60 (assume-push @p200 @t97) % 0.39/0.60 (assume-push @p201 @t112) % 0.39/0.60 (step @p162 :rule false_intro :premises (@p85)) % 0.39/0.61 (step @p163 :rule symm :premises (@p136)) % 0.39/0.61 (step @p164 :rule refl :args (@t81)) % 0.39/0.61 (step @p165 :rule cong :premises (@p164 @p110) :args (@t111)) % 0.39/0.61 (step @p166 :rule trans :premises (@p165 @p163)) % 0.39/0.61 (step @p167 :rule cong :premises (@p164 @p166) :args (@t112)) % 0.39/0.61 (step @p179 :rule trans :premises (@p167 @p162)) % 0.39/0.61 (step @p180 :rule false_elim :premises (@p179)) % 0.39/0.61 (step @p181 :rule and_intro :premises (@p180 @p152)) % 0.39/0.61 (step-pop @p202 :rule scope :premises (@p181)) % 0.39/0.61 (step-pop @p203 :rule scope :premises (@p202)) % 0.39/0.61 (step-pop @p204 :rule scope :premises (@p203)) % 0.39/0.61 (step-pop @p205 :rule scope :premises (@p204)) % 0.39/0.61 (step @p182 :rule process_scope :premises (@p205) :args (@t118)) % 0.39/0.61 (step @p187 :rule implies_elim :premises (@p182)) % 0.39/0.61 (step @p188 :rule resolution :premises (@p187 @p172) :args (true @t118)) % 0.39/0.61 (step @p189 :rule not_and :premises (@p188)) % 0.39/0.61 (step @p190 :rule eq_resolve :premises (@p189 @p157)) % 0.39/0.61 (step @p191 false :rule chain_m_resolution :premises (@p190 @p152 @p136 @p110 @p85) :args (false (@list false false false true) (@list @t112 @t104 @t97 @t84))) % 0.39/0.61 ) % 0.39/0.61 % SZS output end Proof % 0.39/0.61 % cvc5 exiting %------------------------------------------------------------------------------