%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU105+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 : n020.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 08:50:34 AM UTC 2026 % Result : Theorem 0.46s 0.69s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU105+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n020.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 16:29:41 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.69 % SZS status Theorem % 0.46/0.69 % SZS output start Proof % 0.46/0.69 ( % 0.46/0.69 (declare-sort $$unsorted 0) % 0.46/0.69 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.cap_closed (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.cup_closed (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.diff_closed (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.69 (declare-const tptp.preboolean (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.46/0.69 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.69 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.69 (declare-const tptp.empty_set $$unsorted) % 0.46/0.69 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.function (-> $$unsorted Bool)) % 0.46/0.69 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.69 (define @t1 () (@var "A" $$unsorted)) % 0.46/0.69 (define @t2 () (@var "B" $$unsorted)) % 0.46/0.69 (define @t3 () (tptp.in @t2 @t1)) % 0.46/0.69 (define @t4 () (not @t3)) % 0.46/0.69 (define @t5 () (tptp.in @t1 @t2)) % 0.46/0.69 (define @t6 () (@list @t1 @t2)) % 0.46/0.69 (define @t7 () (tptp.finite @t1)) % 0.46/0.69 (define @t8 () (tptp.empty @t1)) % 0.46/0.69 (define @t9 () (@list @t1)) % 0.46/0.69 (define @t10 () (tptp.diff_closed @t1)) % 0.46/0.69 (define @t11 () (tptp.cup_closed @t1)) % 0.46/0.69 (define @t12 () (and @t11 @t10)) % 0.46/0.69 (define @t13 () (tptp.preboolean @t1)) % 0.46/0.69 (define @t14 () (tptp.finite @t2)) % 0.46/0.69 (define @t15 () (tptp.powerset @t1)) % 0.46/0.69 (define @t16 () (tptp.element @t2 @t15)) % 0.46/0.69 (define @t17 () (@list @t2)) % 0.46/0.69 (define @t18 () (tptp.set_union2 @t2 @t1)) % 0.46/0.69 (define @t19 () (tptp.set_union2 @t1 @t2)) % 0.46/0.69 (define @t20 () (tptp.set_intersection2 @t1 @t2)) % 0.46/0.69 (define @t21 () (tptp.symmetric_difference @t1 @t2)) % 0.46/0.69 (define @t22 () (tptp.set_difference @t1 @t2)) % 0.46/0.69 (define @t23 () (tptp.element @t2 @t1)) % 0.46/0.69 (define @t24 () (tptp.finite @t20)) % 0.46/0.69 (define @t25 () (and @t7 @t14)) % 0.46/0.69 (define @t26 () (not @t8)) % 0.46/0.69 (define @t27 () (tptp.empty @t2)) % 0.46/0.69 (define @t28 () (not @t27)) % 0.46/0.69 (define @t29 () (@var "C" $$unsorted)) % 0.46/0.69 (define @t30 () (tptp.set_difference @t2 @t29)) % 0.46/0.69 (define @t31 () (tptp.set_union2 @t2 @t29)) % 0.46/0.69 (define @t32 () (and (tptp.in @t31 @t1) (tptp.in @t30 @t1))) % 0.46/0.69 (define @t33 () (tptp.in @t29 @t1)) % 0.46/0.69 (define @t34 () (and @t3 @t33)) % 0.46/0.69 (define @t35 () (@list @t2 @t29)) % 0.46/0.69 (define @t36 () (forall @t35 (=> @t34 @t32))) % 0.46/0.69 (define @t37 () (= @t13 @t36)) % 0.46/0.69 (define @t38 () (forall @t9 @t37)) % 0.46/0.69 (define @t39 () (and (tptp.in (tptp.symmetric_difference @t2 @t29) @t1) (tptp.in (tptp.set_intersection2 @t2 @t29) @t1))) % 0.46/0.69 (define @t40 () (tptp.element @t29 @t1)) % 0.46/0.69 (define @t41 () (@list @t29)) % 0.46/0.69 (define @t42 () (forall @t41 (=> @t40 @t39))) % 0.46/0.69 (define @t43 () (=> @t23 @t42)) % 0.46/0.69 (define @t44 () (forall @t17 @t43)) % 0.46/0.69 (define @t45 () (=> @t44 @t13)) % 0.46/0.69 (define @t46 () (=> @t26 @t45)) % 0.46/0.69 (define @t47 () (forall @t9 @t46)) % 0.46/0.69 (define @t48 () (not @t47)) % 0.46/0.69 (define @t49 () (tptp.element @t1 @t2)) % 0.46/0.69 (define @t50 () (forall @t6 (=> @t5 @t49))) % 0.46/0.69 (define @t51 () (tptp.element @t2 (tptp.powerset @t29))) % 0.46/0.69 (define @t52 () (@list @t1 @t2 @t29)) % 0.46/0.69 (define @t53 () (not @t33)) % 0.46/0.69 (define @t54 () (@var "BOUND_VARIABLE_7791" $$unsorted)) % 0.46/0.69 (define @t55 () (tptp.set_intersection2 @t2 @t54)) % 0.46/0.69 (define @t56 () (tptp.symmetric_difference @t2 @t54)) % 0.46/0.69 (define @t57 () (and (tptp.in @t56 @t1) (tptp.in @t55 @t1))) % 0.46/0.69 (define @t58 () (not (tptp.element @t54 @t1))) % 0.46/0.69 (define @t59 () (not @t23)) % 0.46/0.69 (define @t60 () (or @t59 @t58 @t57)) % 0.46/0.69 (define @t61 () (@list @t2 @t54)) % 0.46/0.69 (define @t62 () (forall @t61 @t60)) % 0.46/0.69 (define @t63 () (not @t62)) % 0.46/0.69 (define @t64 () (or @t8 @t63 @t13)) % 0.46/0.69 (define @t65 () (@quantifiers_skolemize (forall @t9 @t64) 0)) % 0.46/0.69 (define @t66 () (=> @t62 @t13)) % 0.46/0.69 (define @t67 () (or @t58 @t57)) % 0.46/0.69 (define @t68 () (or @t59 @t67)) % 0.46/0.69 (define @t69 () (forall @t61 @t68)) % 0.46/0.69 (define @t70 () (@list @t54)) % 0.46/0.69 (define @t71 () (forall @t70 @t68)) % 0.46/0.69 (define @t72 () (forall @t70 @t67)) % 0.46/0.69 (define @t73 () (or @t59 @t72)) % 0.46/0.69 (define @t74 () (forall @t41 (or (not @t40) @t39))) % 0.46/0.69 (define @t75 () (tptp.preboolean @t65)) % 0.46/0.69 (define @t76 () (forall @t61 (or (not (tptp.element @t2 @t65)) (not (tptp.element @t54 @t65)) (and (tptp.in @t56 @t65) (tptp.in @t55 @t65))))) % 0.46/0.69 (define @t77 () (not @t76)) % 0.46/0.69 (define @t78 () (or (tptp.empty @t65) @t77 @t75)) % 0.46/0.69 (define @t79 () (@list true)) % 0.46/0.69 (define @t80 () (@list @t78)) % 0.46/0.69 (define @t81 () (forall @t35 (or (not (tptp.in @t2 @t65)) (not (tptp.in @t29 @t65)) (and (tptp.in @t31 @t65) (tptp.in @t30 @t65))))) % 0.46/0.69 (define @t82 () (= @t75 @t81)) % 0.46/0.69 (define @t83 () (not @t81)) % 0.46/0.69 (define @t84 () (@quantifiers_skolemize @t81 1)) % 0.46/0.69 (define @t85 () (@quantifiers_skolemize @t81 0)) % 0.46/0.69 (define @t86 () (tptp.in (tptp.set_difference @t85 @t84) @t65)) % 0.46/0.69 (define @t87 () (tptp.in (tptp.set_union2 @t85 @t84) @t65)) % 0.46/0.69 (define @t88 () (and @t87 @t86)) % 0.46/0.69 (define @t89 () (tptp.in @t84 @t65)) % 0.46/0.69 (define @t90 () (not @t89)) % 0.46/0.69 (define @t91 () (tptp.in @t85 @t65)) % 0.46/0.69 (define @t92 () (not @t91)) % 0.46/0.69 (define @t93 () (or @t92 @t90 @t88)) % 0.46/0.69 (define @t94 () (@list @t93)) % 0.46/0.69 (define @t95 () (tptp.set_intersection2 @t85 @t84)) % 0.46/0.69 (define @t96 () (@list @t85 @t84)) % 0.46/0.69 (define @t97 () (tptp.element @t84 @t65)) % 0.46/0.69 (define @t98 () (or @t90 @t97)) % 0.46/0.69 (define @t99 () (@list false false)) % 0.46/0.69 (define @t100 () (tptp.element @t85 @t65)) % 0.46/0.69 (define @t101 () (or @t92 @t100)) % 0.46/0.69 (define @t102 () (tptp.in @t95 @t65)) % 0.46/0.69 (define @t103 () (tptp.symmetric_difference @t85 @t84)) % 0.46/0.69 (define @t104 () (tptp.in @t103 @t65)) % 0.46/0.69 (define @t105 () (and @t104 @t102)) % 0.46/0.69 (define @t106 () (not @t97)) % 0.46/0.69 (define @t107 () (not @t100)) % 0.46/0.69 (define @t108 () (or @t107 @t106 @t105)) % 0.46/0.69 (define @t109 () (@list false false false)) % 0.46/0.69 (define @t110 () (not @t105)) % 0.46/0.69 (define @t111 () (@list false)) % 0.46/0.69 (define @t112 () (@list @t105)) % 0.46/0.69 (define @t113 () (tptp.element @t95 @t65)) % 0.46/0.69 (define @t114 () (not @t102)) % 0.46/0.69 (define @t115 () (or @t114 @t113)) % 0.46/0.69 (define @t116 () (tptp.in (tptp.symmetric_difference @t85 @t95) @t65)) % 0.46/0.69 (define @t117 () (and @t116 (tptp.in (tptp.set_intersection2 @t85 @t95) @t65))) % 0.46/0.69 (define @t118 () (not @t113)) % 0.46/0.69 (define @t119 () (or @t107 @t118 @t117)) % 0.46/0.69 (define @t120 () (tptp.element @t103 @t65)) % 0.46/0.69 (define @t121 () (not @t104)) % 0.46/0.69 (define @t122 () (or @t121 @t120)) % 0.46/0.69 (define @t123 () (tptp.in (tptp.symmetric_difference @t103 @t95) @t65)) % 0.46/0.69 (define @t124 () (and @t123 (tptp.in (tptp.set_intersection2 @t103 @t95) @t65))) % 0.46/0.69 (define @t125 () (not @t120)) % 0.46/0.69 (define @t126 () (or @t125 @t118 @t124)) % 0.46/0.69 (assume @p1 (forall @t6 (=> @t5 @t4))) % 0.46/0.69 (assume @p2 (forall @t9 (=> @t8 @t7))) % 0.46/0.69 (assume @p3 (forall @t9 (=> @t13 @t12))) % 0.46/0.69 (assume @p4 (forall @t9 (=> @t7 (forall @t17 (=> @t16 @t14))))) % 0.46/0.69 (assume @p5 (forall @t9 (=> @t12 @t13))) % 0.46/0.69 (assume @p6 (forall @t6 (= @t19 @t18))) % 0.46/0.69 (assume @p7 (forall @t6 (= @t20 (tptp.set_intersection2 @t2 @t1)))) % 0.46/0.69 (assume @p8 (forall @t6 (= @t21 (tptp.symmetric_difference @t2 @t1)))) % 0.46/0.69 (assume @p9 (forall @t6 (= @t21 (tptp.set_union2 @t22 (tptp.set_difference @t2 @t1))))) % 0.46/0.69 (assume @p10 (forall @t9 (exists @t17 @t23))) % 0.46/0.69 (assume @p11 (forall @t6 (=> @t14 @t24))) % 0.46/0.69 (assume @p12 (forall @t6 (=> @t7 @t24))) % 0.46/0.69 (assume @p13 (forall @t6 (=> @t7 (tptp.finite @t22)))) % 0.46/0.69 (assume @p14 (forall @t6 (=> @t25 (tptp.finite @t21)))) % 0.46/0.69 (assume @p15 (forall @t9 (not (tptp.empty @t15)))) % 0.46/0.69 (assume @p16 (tptp.empty tptp.empty_set)) % 0.46/0.69 (assume @p17 (forall @t6 (=> @t26 (not (tptp.empty @t19))))) % 0.46/0.69 (assume @p18 (forall @t6 (=> @t26 (not (tptp.empty @t18))))) % 0.46/0.69 (assume @p19 (forall @t6 (=> @t25 (tptp.finite @t19)))) % 0.46/0.69 (assume @p20 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.46/0.69 (assume @p21 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.46/0.69 (assume @p22 (exists @t9 (and @t26 @t7))) % 0.46/0.69 (assume @p23 (exists @t9 (and @t26 @t11 (tptp.cap_closed @t1) @t10 @t13))) % 0.46/0.69 (assume @p24 (forall @t9 (=> @t26 (exists @t17 (and @t16 @t28))))) % 0.46/0.69 (assume @p25 (exists @t9 @t8)) % 0.46/0.69 (assume @p26 (forall @t9 (exists @t17 (and @t16 @t27 (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)))) % 0.46/0.69 (assume @p27 (forall @t9 (exists @t17 (and @t16 @t27)))) % 0.46/0.69 (assume @p28 (exists @t9 @t26)) % 0.46/0.69 (assume @p29 (forall @t9 (=> @t26 (exists @t17 (and @t16 @t28 @t14))))) % 0.46/0.69 (assume @p30 (forall @t6 (tptp.subset @t1 @t1))) % 0.46/0.69 (assume @p31 (forall @t6 (= @t22 (tptp.symmetric_difference @t1 @t20)))) % 0.46/0.69 (assume @p32 @t38) % 0.46/0.69 (assume @p33 @t48) % 0.46/0.69 (assume @p34 (forall @t9 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.46/0.69 (assume @p35 @t50) % 0.46/0.69 (assume @p36 (forall @t9 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.46/0.69 (assume @p37 (forall @t6 (=> @t49 (or @t27 @t5)))) % 0.46/0.69 (assume @p38 (forall @t9 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.46/0.69 (assume @p39 (forall @t6 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.46/0.69 (assume @p40 (forall @t9 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.46/0.69 (assume @p41 (forall @t52 (=> (and @t5 @t51) (tptp.element @t1 @t29)))) % 0.46/0.69 (assume @p42 (forall @t9 (= (tptp.symmetric_difference @t1 tptp.empty_set) @t1))) % 0.46/0.69 (assume @p43 (forall @t52 (not (and @t5 @t51 (tptp.empty @t29))))) % 0.46/0.69 (assume @p44 (forall @t9 (=> @t8 (= @t1 tptp.empty_set)))) % 0.46/0.69 (assume @p45 (forall @t6 (not (and @t5 @t27)))) % 0.46/0.69 (assume @p46 (forall @t6 (not (and @t8 (not (= @t1 @t2)) @t27)))) % 0.46/0.69 (assume @p47 (forall @t6 (= @t19 (tptp.symmetric_difference @t21 @t20)))) % 0.46/0.69 (assume @p48 true) % 0.46/0.69 (step @p49 :rule aci_norm :args ((= (or (or @t4 @t53) @t32) (or @t4 @t53 @t32)))) % 0.46/0.69 (step @p50 :rule refl :args (@t32)) % 0.46/0.69 (step @p51 :rule bool-and-de-morgan :args (@t3 @t33 true)) % 0.46/0.69 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or (not @t34) @t32))) % 0.46/0.69 (step @p53 :rule trans :premises (@p52 @p49)) % 0.46/0.69 (step @p54 :rule bool-impl-elim :args (@t34 @t32)) % 0.46/0.69 (step @p55 :rule trans :premises (@p54 @p53)) % 0.46/0.69 (step @p56 :rule cong :premises (@p55) :args (@t36)) % 0.46/0.69 (step @p57 :rule refl :args (@t13)) % 0.46/0.69 (step @p58 :rule cong :premises (@p57 @p56) :args (@t37)) % 0.46/0.69 (step @p59 :rule cong :premises (@p58) :args (@t38)) % 0.46/0.69 (step @p60 :rule eq_resolve :premises (@p32 @p59)) % 0.46/0.69 (step @p61 :rule instantiate :premises (@p60) :args ((@list @t65))) % 0.46/0.69 (step @p62 :rule aci_norm :args ((= (or @t8 (or @t63 @t13)) @t64))) % 0.46/0.69 (step @p63 :rule bool-impl-elim :args (@t62 @t13)) % 0.46/0.69 (step @p64 :rule refl :args (@t8)) % 0.46/0.69 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t8 @t66))) % 0.46/0.69 (step @p66 :rule trans :premises (@p65 @p62)) % 0.46/0.69 (step @p67 :rule refl :args (@t66)) % 0.46/0.69 (step @p68 :rule bool-double-not-elim :args (@t8)) % 0.46/0.69 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or (not @t26) @t66))) % 0.46/0.69 (step @p70 :rule bool-impl-elim :args (@t26 @t66)) % 0.46/0.69 (step @p71 :rule trans :premises (@p70 @p69)) % 0.46/0.69 (step @p72 :rule trans :premises (@p71 @p66)) % 0.46/0.69 (step @p73 :rule cong :premises (@p72) :args ((forall @t9 (=> @t26 @t66)))) % 0.46/0.69 (step @p74 :rule aci_norm :args ((= @t68 @t60))) % 0.46/0.69 (step @p75 :rule cong :premises (@p74) :args (@t69)) % 0.46/0.69 (step @p76 :rule quant-merge-prenex :args ((= (forall @t17 @t71) @t69))) % 0.46/0.69 (step @p77 :rule alpha_equiv :args (@t72 (@list @t54) (@list @t29))) % 0.46/0.69 (step @p78 :rule refl :args (@t59)) % 0.46/0.69 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t73)) % 0.46/0.69 (step @p80 :rule quant-miniscope-or :args ((= @t71 @t73))) % 0.46/0.69 (step @p81 :rule trans :premises (@p80 @p79)) % 0.46/0.69 (step @p82 :rule symm :premises (@p81)) % 0.46/0.69 (step @p83 :rule cong :premises (@p82) :args ((forall @t17 (or @t59 @t74)))) % 0.46/0.69 (step @p84 :rule trans :premises (@p83 @p76)) % 0.46/0.69 (step @p85 :rule trans :premises (@p84 @p75)) % 0.46/0.69 (step @p86 :rule bool-impl-elim :args (@t23 @t74)) % 0.46/0.69 (step @p87 :rule cong :premises (@p86) :args ((forall @t17 (=> @t23 @t74)))) % 0.46/0.69 (step @p88 :rule trans :premises (@p87 @p85)) % 0.46/0.69 (step @p89 :rule bool-impl-elim :args (@t40 @t39)) % 0.46/0.69 (step @p90 :rule cong :premises (@p89) :args (@t42)) % 0.46/0.69 (step @p91 :rule refl :args (@t23)) % 0.46/0.69 (step @p92 :rule cong :premises (@p91 @p90) :args (@t43)) % 0.46/0.69 (step @p93 :rule cong :premises (@p92) :args (@t44)) % 0.46/0.69 (step @p94 :rule trans :premises (@p93 @p88)) % 0.46/0.69 (step @p95 :rule cong :premises (@p94 @p57) :args (@t45)) % 0.46/0.69 (step @p96 :rule refl :args (@t26)) % 0.46/0.69 (step @p97 :rule cong :premises (@p96 @p95) :args (@t46)) % 0.46/0.69 (step @p98 :rule cong :premises (@p97) :args (@t47)) % 0.46/0.69 (step @p99 :rule trans :premises (@p98 @p73)) % 0.46/0.69 (step @p100 :rule cong :premises (@p99) :args (@t48)) % 0.46/0.69 (step @p101 :rule eq_resolve :premises (@p33 @p100)) % 0.46/0.69 (step @p102 :rule skolemize :premises (@p101)) % 0.46/0.69 (step @p103 :rule cnf_or_neg :args (@t78 2)) % 0.46/0.69 (step @p104 :rule chain_m_resolution :premises (@p103 @p102) :args ((not @t75) @t79 @t80)) % 0.46/0.69 (step @p105 :rule cnf_equiv_pos2 :args (@t82)) % 0.46/0.69 (step @p106 :rule reordering :premises (@p105) :args ((or @t75 @t83 (not @t82)))) % 0.46/0.69 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p61) :args (@t83 (@list true false) (@list @t75 @t82))) % 0.46/0.69 (step @p108 :rule skolemize :premises (@p107)) % 0.46/0.69 (step @p109 :rule cnf_or_neg :args (@t93 2)) % 0.46/0.69 (step @p110 :rule chain_m_resolution :premises (@p109 @p108) :args ((not @t88) @t79 @t94)) % 0.46/0.69 (step @p111 :rule bool-double-not-elim :args (@t76)) % 0.46/0.69 (step @p112 :rule refl :args (@t78)) % 0.46/0.69 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or @t78 (not @t77)))) % 0.46/0.69 (step @p114 :rule cnf_or_neg :args (@t78 1)) % 0.46/0.69 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 0.46/0.69 (step @p116 :rule reordering :premises (@p115) :args ((or @t76 @t78))) % 0.46/0.69 (step @p117 :rule chain_m_resolution :premises (@p116 @p102) :args (@t76 @t79 @t80)) % 0.46/0.69 (step @p118 :rule instantiate :premises (@p117) :args ((@list @t85 @t95))) % 0.46/0.69 (step @p119 :rule bool-impl-elim :args (@t5 @t49)) % 0.46/0.69 (step @p120 :rule cong :premises (@p119) :args (@t50)) % 0.46/0.69 (step @p121 :rule eq_resolve :premises (@p35 @p120)) % 0.46/0.69 (step @p122 :rule instantiate :premises (@p121) :args ((@list @t95 @t65))) % 0.46/0.69 (step @p123 :rule instantiate :premises (@p117) :args (@t96)) % 0.46/0.69 (step @p124 :rule instantiate :premises (@p121) :args ((@list @t84 @t65))) % 0.46/0.69 (step @p125 :rule bool-double-not-elim :args (@t89)) % 0.46/0.69 (step @p126 :rule refl :args (@t93)) % 0.46/0.69 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or @t93 (not @t90)))) % 0.46/0.69 (step @p128 :rule cnf_or_neg :args (@t93 1)) % 0.46/0.69 (step @p129 :rule eq_resolve :premises (@p128 @p127)) % 0.46/0.69 (step @p130 :rule reordering :premises (@p129) :args ((or @t89 @t93))) % 0.46/0.69 (step @p131 :rule chain_m_resolution :premises (@p130 @p108) :args (@t89 @t79 @t94)) % 0.46/0.69 (step @p132 :rule cnf_or_pos :args (@t98)) % 0.46/0.69 (step @p133 :rule reordering :premises (@p132) :args ((or @t90 @t97 (not @t98)))) % 0.46/0.69 (step @p134 :rule chain_m_resolution :premises (@p133 @p131 @p124) :args (@t97 @t99 (@list @t89 @t98))) % 0.46/0.69 (step @p135 :rule instantiate :premises (@p121) :args ((@list @t85 @t65))) % 0.46/0.69 (step @p136 :rule bool-double-not-elim :args (@t91)) % 0.46/0.69 (step @p137 :rule nary_cong :premises (@p126 @p136) :args ((or @t93 (not @t92)))) % 0.46/0.69 (step @p138 :rule cnf_or_neg :args (@t93 0)) % 0.46/0.69 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 0.46/0.69 (step @p140 :rule reordering :premises (@p139) :args ((or @t91 @t93))) % 0.46/0.69 (step @p141 :rule chain_m_resolution :premises (@p140 @p108) :args (@t91 @t79 @t94)) % 0.46/0.69 (step @p142 :rule cnf_or_pos :args (@t101)) % 0.46/0.69 (step @p143 :rule reordering :premises (@p142) :args ((or @t92 @t100 (not @t101)))) % 0.46/0.69 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p135) :args (@t100 @t99 (@list @t91 @t101))) % 0.46/0.69 (step @p145 :rule cnf_or_pos :args (@t108)) % 0.46/0.69 (step @p146 :rule reordering :premises (@p145) :args ((or @t107 @t106 @t105 (not @t108)))) % 0.46/0.69 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p134 @p123) :args (@t105 @t109 (@list @t100 @t97 @t108))) % 0.46/0.69 (step @p148 :rule cnf_and_pos :args (@t105 1)) % 0.46/0.69 (step @p149 :rule reordering :premises (@p148) :args ((or @t102 @t110))) % 0.46/0.69 (step @p150 :rule chain_m_resolution :premises (@p149 @p147) :args (@t102 @t111 @t112)) % 0.46/0.69 (step @p151 :rule cnf_or_pos :args (@t115)) % 0.46/0.69 (step @p152 :rule reordering :premises (@p151) :args ((or @t113 @t114 (not @t115)))) % 0.46/0.69 (step @p153 :rule chain_m_resolution :premises (@p152 @p150 @p122) :args (@t113 @t99 (@list @t102 @t115))) % 0.46/0.69 (step @p154 :rule cnf_or_pos :args (@t119)) % 0.46/0.69 (step @p155 :rule reordering :premises (@p154) :args ((or @t107 @t118 @t117 (not @t119)))) % 0.46/0.69 (step @p156 :rule chain_m_resolution :premises (@p155 @p144 @p153 @p118) :args (@t117 @t109 (@list @t100 @t113 @t119))) % 0.46/0.69 (step @p157 :rule cnf_and_pos :args (@t117 0)) % 0.46/0.69 (step @p158 :rule reordering :premises (@p157) :args ((or @t116 (not @t117)))) % 0.46/0.69 (step @p159 :rule chain_m_resolution :premises (@p158 @p156) :args (@t116 @t111 (@list @t117))) % 0.46/0.69 (step @p160 :rule true_intro :premises (@p159)) % 0.46/0.69 (step @p161 :rule refl :args (@t65)) % 0.46/0.69 (step @p162 :rule instantiate :premises (@p31) :args (@t96)) % 0.46/0.69 (step @p163 :rule cong :premises (@p162 @p161) :args (@t86)) % 0.46/0.69 (step @p164 :rule trans :premises (@p163 @p160)) % 0.46/0.69 (step @p165 :rule true_elim :premises (@p164)) % 0.46/0.69 (step @p166 :rule instantiate :premises (@p117) :args ((@list @t103 @t95))) % 0.46/0.69 (step @p167 :rule instantiate :premises (@p121) :args ((@list @t103 @t65))) % 0.46/0.69 (step @p168 :rule cnf_and_pos :args (@t105 0)) % 0.46/0.69 (step @p169 :rule reordering :premises (@p168) :args ((or @t104 @t110))) % 0.46/0.69 (step @p170 :rule chain_m_resolution :premises (@p169 @p147) :args (@t104 @t111 @t112)) % 0.46/0.69 (step @p171 :rule cnf_or_pos :args (@t122)) % 0.46/0.69 (step @p172 :rule reordering :premises (@p171) :args ((or @t120 @t121 (not @t122)))) % 0.46/0.69 (step @p173 :rule chain_m_resolution :premises (@p172 @p170 @p167) :args (@t120 @t99 (@list @t104 @t122))) % 0.46/0.69 (step @p174 :rule cnf_or_pos :args (@t126)) % 0.46/0.69 (step @p175 :rule reordering :premises (@p174) :args ((or @t118 @t125 @t124 (not @t126)))) % 0.46/0.69 (step @p176 :rule chain_m_resolution :premises (@p175 @p153 @p173 @p166) :args (@t124 @t109 (@list @t113 @t120 @t126))) % 0.46/0.69 (step @p177 :rule cnf_and_pos :args (@t124 0)) % 0.46/0.69 (step @p178 :rule reordering :premises (@p177) :args ((or @t123 (not @t124)))) % 0.46/0.69 (step @p179 :rule chain_m_resolution :premises (@p178 @p176) :args (@t123 @t111 (@list @t124))) % 0.46/0.69 (step @p180 :rule true_intro :premises (@p179)) % 0.46/0.69 (step @p181 :rule instantiate :premises (@p47) :args (@t96)) % 0.46/0.69 (step @p182 :rule cong :premises (@p181 @p161) :args (@t87)) % 0.46/0.69 (step @p183 :rule trans :premises (@p182 @p180)) % 0.46/0.69 (step @p184 :rule true_elim :premises (@p183)) % 0.46/0.69 (step @p185 :rule cnf_and_neg :args (@t88)) % 0.46/0.69 (step @p186 false :rule chain_m_resolution :premises (@p185 @p184 @p165 @p110) :args (false (@list false false true) (@list @t87 @t86 @t88))) % 0.46/0.69 ) % 0.46/0.69 % SZS output end Proof % 0.46/0.69 % cvc5 exiting %------------------------------------------------------------------------------