%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET083+1 : TPTP v9.2.1. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 08:47:19 AM UTC 2026 % Result : Theorem 1.03s 1.21s % Output : Proof 1.03s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET083+1 : TPTP v9.2.1. Bugfixed v5.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n016.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 14:52:09 EDT 2026 % 0.16/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 1.03/1.21 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.03/1.21 % SZS status Theorem % 1.03/1.21 % SZS output start Proof % 1.03/1.21 ( % 1.03/1.21 (declare-sort $$unsorted 0) % 1.03/1.21 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.21 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 1.03/1.21 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.03/1.21 (declare-const tptp.element_relation $$unsorted) % 1.03/1.21 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 1.03/1.21 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.21 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 1.03/1.21 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 1.03/1.21 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.21 (declare-const tptp.universal_class $$unsorted) % 1.03/1.21 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.21 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.21 (declare-const tptp.inductive (-> $$unsorted Bool)) % 1.03/1.21 (declare-const tptp.function (-> $$unsorted Bool)) % 1.03/1.21 (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool)) % 1.03/1.21 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 1.03/1.21 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 1.03/1.21 (declare-const tptp.null_class $$unsorted) % 1.03/1.21 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 1.03/1.21 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 1.03/1.21 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 1.03/1.21 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 1.03/1.21 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.21 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 1.03/1.21 (declare-const tptp.successor_relation $$unsorted) % 1.03/1.21 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 1.03/1.21 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 1.03/1.21 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 1.03/1.21 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.21 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 1.03/1.21 (declare-const tptp.identity_relation $$unsorted) % 1.03/1.21 (define @t1 () (@var "Y" $$unsorted)) % 1.03/1.21 (define @t2 () (@var "U" $$unsorted)) % 1.03/1.21 (define @t3 () (tptp.member @t2 @t1)) % 1.03/1.21 (define @t4 () (@var "X" $$unsorted)) % 1.03/1.21 (define @t5 () (tptp.member @t2 @t4)) % 1.03/1.21 (define @t6 () (@list @t2)) % 1.03/1.21 (define @t7 () (tptp.subclass @t4 @t1)) % 1.03/1.21 (define @t8 () (@list @t4 @t1)) % 1.03/1.21 (define @t9 () (@list @t4)) % 1.03/1.21 (define @t10 () (= @t4 @t1)) % 1.03/1.21 (define @t11 () (or (= @t2 @t4) (= @t2 @t1))) % 1.03/1.21 (define @t12 () (tptp.member @t2 tptp.universal_class)) % 1.03/1.21 (define @t13 () (and @t12 @t11)) % 1.03/1.21 (define @t14 () (tptp.unordered_pair @t4 @t1)) % 1.03/1.21 (define @t15 () (tptp.member @t2 @t14)) % 1.03/1.21 (define @t16 () (= @t15 @t13)) % 1.03/1.21 (define @t17 () (@list @t2 @t4 @t1)) % 1.03/1.21 (define @t18 () (forall @t17 @t16)) % 1.03/1.21 (define @t19 () (tptp.singleton @t4)) % 1.03/1.21 (define @t20 () (tptp.singleton @t1)) % 1.03/1.21 (define @t21 () (tptp.ordered_pair @t4 @t1)) % 1.03/1.21 (define @t22 () (@var "V" $$unsorted)) % 1.03/1.21 (define @t23 () (tptp.cross_product @t4 @t1)) % 1.03/1.21 (define @t24 () (tptp.ordered_pair @t2 @t22)) % 1.03/1.21 (define @t25 () (tptp.member @t1 tptp.universal_class)) % 1.03/1.21 (define @t26 () (tptp.member @t4 tptp.universal_class)) % 1.03/1.21 (define @t27 () (@var "Z" $$unsorted)) % 1.03/1.21 (define @t28 () (@list @t4 @t1 @t27)) % 1.03/1.21 (define @t29 () (tptp.cross_product tptp.universal_class tptp.universal_class)) % 1.03/1.21 (define @t30 () (tptp.member @t27 @t1)) % 1.03/1.21 (define @t31 () (tptp.member @t27 @t4)) % 1.03/1.21 (define @t32 () (tptp.member @t27 tptp.universal_class)) % 1.03/1.21 (define @t33 () (@list @t4 @t27)) % 1.03/1.21 (define @t34 () (@var "XR" $$unsorted)) % 1.03/1.21 (define @t35 () (@var "W" $$unsorted)) % 1.03/1.21 (define @t36 () (tptp.cross_product @t29 tptp.universal_class)) % 1.03/1.21 (define @t37 () (tptp.ordered_pair @t24 @t35)) % 1.03/1.21 (define @t38 () (tptp.member @t37 @t36)) % 1.03/1.21 (define @t39 () (tptp.rotate @t4)) % 1.03/1.21 (define @t40 () (tptp.flip @t4)) % 1.03/1.21 (define @t41 () (tptp.successor @t4)) % 1.03/1.21 (define @t42 () (@list @t1)) % 1.03/1.21 (define @t43 () (@list @t27)) % 1.03/1.21 (define @t44 () (tptp.inductive @t4)) % 1.03/1.21 (define @t45 () (tptp.sum_class @t4)) % 1.03/1.21 (define @t46 () (@list @t2 @t4)) % 1.03/1.21 (define @t47 () (@var "YR" $$unsorted)) % 1.03/1.21 (define @t48 () (tptp.compose @t47 @t34)) % 1.03/1.21 (define @t49 () (@var "XF" $$unsorted)) % 1.03/1.21 (define @t50 () (tptp.function @t49)) % 1.03/1.21 (define @t51 () (@list @t49)) % 1.03/1.21 (define @t52 () (tptp.apply @t49 @t1)) % 1.03/1.21 (define @t53 () (= @t19 @t20)) % 1.03/1.21 (define @t54 () (and @t53 @t26)) % 1.03/1.21 (define @t55 () (forall @t8 (=> @t54 @t10))) % 1.03/1.21 (define @t56 () (not @t55)) % 1.03/1.21 (define @t57 () (not @t26)) % 1.03/1.21 (define @t58 () (not @t53)) % 1.03/1.21 (define @t59 () (or @t58 @t57 @t10)) % 1.03/1.21 (define @t60 () (forall @t8 @t59)) % 1.03/1.21 (define @t61 () (@quantifiers_skolemize @t60 0)) % 1.03/1.21 (define @t62 () (tptp.member @t61 (tptp.unordered_pair @t61 @t61))) % 1.03/1.21 (define @t63 () (tptp.member @t61 tptp.universal_class)) % 1.03/1.21 (define @t64 () (= @t61 @t61)) % 1.03/1.21 (define @t65 () (or @t64 @t64)) % 1.03/1.21 (define @t66 () (and @t63 @t65)) % 1.03/1.21 (define @t67 () (= @t62 @t66)) % 1.03/1.21 (define @t68 () (forall @t17 (= @t15 (and @t12 (or (= @t4 @t2) (= @t1 @t2)))))) % 1.03/1.21 (define @t69 () (= @t63 @t62)) % 1.03/1.21 (define @t70 () (@list false)) % 1.03/1.21 (define @t71 () (@list @t68)) % 1.03/1.21 (define @t72 () (@quantifiers_skolemize @t60 1)) % 1.03/1.21 (define @t73 () (= @t61 @t72)) % 1.03/1.21 (define @t74 () (not @t63)) % 1.03/1.21 (define @t75 () (= (tptp.singleton @t61) (tptp.singleton @t72))) % 1.03/1.21 (define @t76 () (not @t75)) % 1.03/1.21 (define @t77 () (or @t76 @t74 @t73)) % 1.03/1.21 (define @t78 () (@list true)) % 1.03/1.21 (define @t79 () (@list @t77)) % 1.03/1.21 (define @t80 () (tptp.member @t61 (tptp.unordered_pair @t72 @t72))) % 1.03/1.21 (define @t81 () (= @t72 @t61)) % 1.03/1.21 (define @t82 () (or @t81 @t81)) % 1.03/1.21 (define @t83 () (and @t63 @t82)) % 1.03/1.21 (define @t84 () (= @t80 @t83)) % 1.03/1.21 (define @t85 () (and @t63 @t73)) % 1.03/1.21 (define @t86 () (= @t80 @t85)) % 1.03/1.21 (define @t87 () (not @t85)) % 1.03/1.21 (define @t88 () (not @t80)) % 1.03/1.21 (assume @p1 (forall @t8 (= @t7 (forall @t6 (=> @t5 @t3))))) % 1.03/1.21 (assume @p2 (forall @t9 (tptp.subclass @t4 tptp.universal_class))) % 1.03/1.21 (assume @p3 (forall @t8 (= @t10 (and @t7 (tptp.subclass @t1 @t4))))) % 1.03/1.21 (assume @p4 @t18) % 1.03/1.21 (assume @p5 (forall @t8 (tptp.member @t14 tptp.universal_class))) % 1.03/1.21 (assume @p6 (forall @t9 (= @t19 (tptp.unordered_pair @t4 @t4)))) % 1.03/1.21 (assume @p7 (forall @t8 (= @t21 (tptp.unordered_pair @t19 (tptp.unordered_pair @t4 @t20))))) % 1.03/1.21 (assume @p8 (forall (@list @t2 @t22 @t4 @t1) (= (tptp.member @t24 @t23) (and @t5 (tptp.member @t22 @t1))))) % 1.03/1.21 (assume @p9 (forall @t8 (=> (and @t26 @t25) (and (= (tptp.first @t21) @t4) (= (tptp.second @t21) @t1))))) % 1.03/1.21 (assume @p10 (forall @t28 (=> (tptp.member @t27 @t23) (= @t27 (tptp.ordered_pair (tptp.first @t27) (tptp.second @t27)))))) % 1.03/1.21 (assume @p11 (forall @t8 (= (tptp.member @t21 tptp.element_relation) (and @t25 (tptp.member @t4 @t1))))) % 1.03/1.21 (assume @p12 (tptp.subclass tptp.element_relation @t29)) % 1.03/1.21 (assume @p13 (forall @t28 (= (tptp.member @t27 (tptp.intersection @t4 @t1)) (and @t31 @t30)))) % 1.03/1.21 (assume @p14 (forall @t33 (= (tptp.member @t27 (tptp.complement @t4)) (and @t32 (not @t31))))) % 1.03/1.21 (assume @p15 (forall (@list @t4 @t34 @t1) (= (tptp.restrict @t34 @t4 @t1) (tptp.intersection @t34 @t23)))) % 1.03/1.21 (assume @p16 (forall @t9 (not (tptp.member @t4 tptp.null_class)))) % 1.03/1.21 (assume @p17 (forall @t33 (= (tptp.member @t27 (tptp.domain_of @t4)) (and @t32 (not (= (tptp.restrict @t4 (tptp.singleton @t27) tptp.universal_class) tptp.null_class)))))) % 1.03/1.21 (assume @p18 (forall (@list @t4 @t2 @t22 @t35) (= (tptp.member @t37 @t39) (and @t38 (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t22 @t35) @t2) @t4))))) % 1.03/1.21 (assume @p19 (forall @t9 (tptp.subclass @t39 @t36))) % 1.03/1.21 (assume @p20 (forall (@list @t2 @t22 @t35 @t4) (= (tptp.member @t37 @t40) (and @t38 (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t22 @t2) @t35) @t4))))) % 1.03/1.21 (assume @p21 (forall @t9 (tptp.subclass @t40 @t36))) % 1.03/1.21 (assume @p22 (forall @t28 (= (tptp.member @t27 (tptp.union @t4 @t1)) (or @t31 @t30)))) % 1.03/1.21 (assume @p23 (forall @t9 (= @t41 (tptp.union @t4 @t19)))) % 1.03/1.21 (assume @p24 (tptp.subclass tptp.successor_relation @t29)) % 1.03/1.21 (assume @p25 (forall @t8 (= (tptp.member @t21 tptp.successor_relation) (and @t26 @t25 (= @t41 @t1))))) % 1.03/1.21 (assume @p26 (forall @t42 (= (tptp.inverse @t1) (tptp.domain_of (tptp.flip (tptp.cross_product @t1 tptp.universal_class)))))) % 1.03/1.21 (assume @p27 (forall @t43 (= (tptp.range_of @t27) (tptp.domain_of (tptp.inverse @t27))))) % 1.03/1.21 (assume @p28 (forall (@list @t4 @t34) (= (tptp.image @t34 @t4) (tptp.range_of (tptp.restrict @t34 @t4 tptp.universal_class))))) % 1.03/1.21 (assume @p29 (forall @t9 (= @t44 (and (tptp.member tptp.null_class @t4) (tptp.subclass (tptp.image tptp.successor_relation @t4) @t4))))) % 1.03/1.21 (assume @p30 (exists @t9 (and @t26 @t44 (forall @t42 (=> (tptp.inductive @t1) @t7))))) % 1.03/1.21 (assume @p31 (forall @t46 (= (tptp.member @t2 @t45) (exists @t42 (and @t3 (tptp.member @t1 @t4)))))) % 1.03/1.21 (assume @p32 (forall @t9 (=> @t26 (tptp.member @t45 tptp.universal_class)))) % 1.03/1.21 (assume @p33 (forall @t46 (= (tptp.member @t2 (tptp.power_class @t4)) (and @t12 (tptp.subclass @t2 @t4))))) % 1.03/1.21 (assume @p34 (forall @t6 (=> @t12 (tptp.member (tptp.power_class @t2) tptp.universal_class)))) % 1.03/1.21 (assume @p35 (forall (@list @t34 @t47) (tptp.subclass @t48 @t29))) % 1.03/1.21 (assume @p36 (forall (@list @t34 @t47 @t2 @t22) (= (tptp.member @t24 @t48) (and @t12 (tptp.member @t22 (tptp.image @t47 (tptp.image @t34 (tptp.singleton @t2)))))))) % 1.03/1.21 (assume @p37 (forall @t43 (= (tptp.member @t27 tptp.identity_relation) (exists @t9 (and @t26 (= @t27 (tptp.ordered_pair @t4 @t4))))))) % 1.03/1.21 (assume @p38 (forall @t51 (= @t50 (and (tptp.subclass @t49 @t29) (tptp.subclass (tptp.compose @t49 (tptp.inverse @t49)) tptp.identity_relation))))) % 1.03/1.21 (assume @p39 (forall (@list @t4 @t49) (=> (and @t26 @t50) (tptp.member (tptp.image @t49 @t4) tptp.universal_class)))) % 1.03/1.21 (assume @p40 (forall @t8 (= (tptp.disjoint @t4 @t1) (forall @t6 (not (and @t5 @t3)))))) % 1.03/1.21 (assume @p41 (forall @t9 (=> (not (= @t4 tptp.null_class)) (exists @t6 (and @t12 @t5 (tptp.disjoint @t2 @t4)))))) % 1.03/1.21 (assume @p42 (forall (@list @t49 @t1) (= @t52 (tptp.sum_class (tptp.image @t49 @t20))))) % 1.03/1.21 (assume @p43 (exists @t51 (and @t50 (forall @t42 (=> @t25 (or (= @t1 tptp.null_class) (tptp.member @t52 @t1))))))) % 1.03/1.21 (assume @p44 @t56) % 1.03/1.21 (assume @p45 true) % 1.03/1.21 (step @p46 :rule evaluate :args ((= false true))) % 1.03/1.21 (step @p47 :rule eq-symm :args (@t2 @t1)) % 1.03/1.21 (step @p48 :rule eq-symm :args (@t2 @t4)) % 1.03/1.21 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t11)) % 1.03/1.21 (step @p50 :rule refl :args (@t12)) % 1.03/1.21 (step @p51 :rule nary_cong :premises (@p50 @p49) :args (@t13)) % 1.03/1.21 (step @p52 :rule refl :args (@t15)) % 1.03/1.21 (step @p53 :rule cong :premises (@p52 @p51) :args (@t16)) % 1.03/1.21 (step @p54 :rule cong :premises (@p53) :args (@t18)) % 1.03/1.21 (step @p55 :rule eq_resolve :premises (@p4 @p54)) % 1.03/1.21 (step @p56 :rule eq-symm :args (@t62 @t63)) % 1.03/1.21 (step @p57 :rule aci_norm :args ((= (and @t63 true) @t63))) % 1.03/1.21 (step @p58 :rule eq-refl :args (@t61)) % 1.03/1.21 (step @p59 :rule aci_norm :args ((= @t65 @t64))) % 1.03/1.21 (step @p60 :rule trans :premises (@p59 @p58)) % 1.03/1.21 (step @p61 :rule refl :args (@t63)) % 1.03/1.21 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t66)) % 1.03/1.21 (step @p63 :rule trans :premises (@p62 @p57)) % 1.03/1.21 (step @p64 :rule refl :args (@t62)) % 1.03/1.21 (step @p65 :rule cong :premises (@p64 @p63) :args (@t67)) % 1.03/1.21 (step @p66 :rule trans :premises (@p65 @p56)) % 1.03/1.21 (step @p67 :rule refl :args (@t68)) % 1.03/1.21 (step @p68 :rule cong :premises (@p67 @p66) :args ((=> @t68 @t67))) % 1.03/1.21 (assume-push @p137 @t68) % 1.03/1.21 (step @p70 :rule instantiate :premises (@p55) :args ((@list @t61 @t61 @t61))) % 1.03/1.21 (step-pop @p138 :rule scope :premises (@p70)) % 1.03/1.21 (step @p71 :rule process_scope :premises (@p138) :args (@t67)) % 1.03/1.21 (step @p73 :rule eq_resolve :premises (@p71 @p68)) % 1.03/1.21 (step @p74 :rule implies_elim :premises (@p73)) % 1.03/1.21 (step @p75 :rule chain_m_resolution :premises (@p74 @p55) :args (@t69 @t70 @t71)) % 1.03/1.21 (step @p76 :rule aci_norm :args ((= (or (or @t58 @t57) @t10) @t59))) % 1.03/1.21 (step @p77 :rule refl :args (@t10)) % 1.03/1.21 (step @p78 :rule bool-and-de-morgan :args (@t53 @t26 true)) % 1.03/1.21 (step @p79 :rule nary_cong :premises (@p78 @p77) :args ((or (not @t54) @t10))) % 1.03/1.21 (step @p80 :rule trans :premises (@p79 @p76)) % 1.03/1.21 (step @p81 :rule bool-impl-elim :args (@t54 @t10)) % 1.03/1.21 (step @p82 :rule trans :premises (@p81 @p80)) % 1.03/1.21 (step @p83 :rule cong :premises (@p82) :args (@t55)) % 1.03/1.21 (step @p84 :rule cong :premises (@p83) :args (@t56)) % 1.03/1.21 (step @p85 :rule eq_resolve :premises (@p44 @p84)) % 1.03/1.21 (step @p86 :rule skolemize :premises (@p85)) % 1.03/1.21 (step @p87 :rule bool-double-not-elim :args (@t63)) % 1.03/1.21 (step @p88 :rule refl :args (@t77)) % 1.03/1.21 (step @p89 :rule nary_cong :premises (@p88 @p87) :args ((or @t77 (not @t74)))) % 1.03/1.21 (step @p90 :rule cnf_or_neg :args (@t77 1)) % 1.03/1.21 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 1.03/1.21 (step @p92 :rule reordering :premises (@p91) :args ((or @t63 @t77))) % 1.03/1.21 (step @p93 :rule chain_m_resolution :premises (@p92 @p86) :args (@t63 @t78 @t79)) % 1.03/1.21 (step @p94 :rule cnf_equiv_pos1 :args (@t69)) % 1.03/1.21 (step @p95 :rule reordering :premises (@p94) :args ((or @t74 @t62 (not @t69)))) % 1.03/1.22 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p75) :args (@t62 (@list false false) (@list @t63 @t69))) % 1.03/1.22 (step @p97 :rule true_intro :premises (@p96)) % 1.03/1.22 (step @p98 :rule instantiate :premises (@p6) :args ((@list @t61))) % 1.03/1.22 (step @p99 :rule bool-double-not-elim :args (@t75)) % 1.03/1.22 (step @p100 :rule nary_cong :premises (@p88 @p99) :args ((or @t77 (not @t76)))) % 1.03/1.22 (step @p101 :rule cnf_or_neg :args (@t77 0)) % 1.03/1.22 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 1.03/1.22 (step @p103 :rule reordering :premises (@p102) :args ((or @t75 @t77))) % 1.03/1.22 (step @p104 :rule chain_m_resolution :premises (@p103 @p86) :args (@t75 @t78 @t79)) % 1.03/1.22 (step @p105 :rule symm :premises (@p104)) % 1.03/1.22 (step @p106 :rule instantiate :premises (@p6) :args ((@list @t72))) % 1.03/1.22 (step @p107 :rule symm :premises (@p106)) % 1.03/1.22 (step @p108 :rule trans :premises (@p107 @p105 @p98)) % 1.03/1.22 (step @p109 :rule refl :args (@t61)) % 1.03/1.22 (step @p110 :rule cong :premises (@p109 @p108) :args (@t80)) % 1.03/1.22 (step @p111 :rule eq-symm :args (@t72 @t61)) % 1.03/1.22 (step @p112 :rule aci_norm :args ((= @t82 @t81))) % 1.03/1.22 (step @p113 :rule trans :premises (@p112 @p111)) % 1.03/1.22 (step @p114 :rule nary_cong :premises (@p61 @p113) :args (@t83)) % 1.03/1.22 (step @p115 :rule refl :args (@t80)) % 1.03/1.22 (step @p116 :rule cong :premises (@p115 @p114) :args (@t84)) % 1.03/1.22 (step @p117 :rule cong :premises (@p67 @p116) :args ((=> @t68 @t84))) % 1.03/1.22 (assume-push @p139 @t68) % 1.03/1.22 (step @p119 :rule instantiate :premises (@p55) :args ((@list @t61 @t72 @t72))) % 1.03/1.22 (step-pop @p140 :rule scope :premises (@p119)) % 1.03/1.22 (step @p120 :rule process_scope :premises (@p140) :args (@t84)) % 1.03/1.22 (step @p122 :rule eq_resolve :premises (@p120 @p117)) % 1.03/1.22 (step @p123 :rule implies_elim :premises (@p122)) % 1.03/1.22 (step @p124 :rule chain_m_resolution :premises (@p123 @p55) :args (@t86 @t70 @t71)) % 1.03/1.22 (step @p125 :rule cnf_or_neg :args (@t77 2)) % 1.03/1.22 (step @p126 :rule chain_m_resolution :premises (@p125 @p86) :args ((not @t73) @t78 @t79)) % 1.03/1.22 (step @p127 :rule cnf_and_pos :args (@t85 1)) % 1.03/1.22 (step @p128 :rule reordering :premises (@p127) :args ((or @t73 @t87))) % 1.03/1.22 (step @p129 :rule chain_m_resolution :premises (@p128 @p126) :args (@t87 @t78 (@list @t73))) % 1.03/1.22 (step @p130 :rule cnf_equiv_pos1 :args (@t86)) % 1.03/1.22 (step @p131 :rule reordering :premises (@p130) :args ((or @t85 @t88 (not @t86)))) % 1.03/1.22 (step @p132 :rule chain_m_resolution :premises (@p131 @p129 @p124) :args (@t88 (@list true false) (@list @t85 @t86))) % 1.03/1.22 (step @p133 :rule false_intro :premises (@p132)) % 1.03/1.22 (step @p134 :rule symm :premises (@p133)) % 1.03/1.22 (step @p135 :rule trans :premises (@p134 @p110 @p97)) % 1.03/1.22 (step @p136 false :rule eq_resolve :premises (@p135 @p46)) % 1.03/1.22 ) % 1.03/1.22 % SZS output end Proof % 1.03/1.22 % cvc5 exiting %------------------------------------------------------------------------------