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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SET063+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 : n010.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 08:47:12 AM UTC 2026

% Result   : Theorem 0.45s 0.63s
% Output   : Proof 0.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET063+1 : TPTP v9.2.1. Bugfixed v5.4.0.
% 0.00/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n010.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
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 14:48:55 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.27/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.45/0.63  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.45/0.63  % SZS status Theorem
% 0.45/0.63  % SZS output start Proof
% 0.45/0.63  (
% 0.45/0.63  (declare-sort $$unsorted 0)
% 0.45/0.63  (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted))
% 0.45/0.63  (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool))
% 0.45/0.63  (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.45/0.63  (declare-const tptp.element_relation $$unsorted)
% 0.45/0.63  (declare-const tptp.first (-> $$unsorted $$unsorted))
% 0.45/0.63  (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted))
% 0.45/0.63  (declare-const tptp.domain_of (-> $$unsorted $$unsorted))
% 0.45/0.63  (declare-const tptp.second (-> $$unsorted $$unsorted))
% 0.45/0.63  (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted))
% 0.45/0.63  (declare-const tptp.universal_class $$unsorted)
% 0.45/0.63  (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted))
% 0.45/0.63  (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted))
% 0.45/0.63  (declare-const tptp.inductive (-> $$unsorted Bool))
% 0.45/0.63  (declare-const tptp.function (-> $$unsorted Bool))
% 0.45/0.63  (declare-const tptp.subclass (-> $$unsorted $$unsorted Bool))
% 0.45/0.63  (declare-const tptp.member (-> $$unsorted $$unsorted Bool))
% 0.45/0.63  (declare-const tptp.sum_class (-> $$unsorted $$unsorted))
% 0.45/0.63  (declare-const tptp.null_class $$unsorted)
% 0.45/0.63  (declare-const tptp.rotate (-> $$unsorted $$unsorted))
% 0.45/0.63  (declare-const tptp.flip (-> $$unsorted $$unsorted))
% 0.45/0.63  (declare-const tptp.singleton (-> $$unsorted $$unsorted))
% 0.45/0.63  (declare-const tptp.complement (-> $$unsorted $$unsorted))
% 0.45/0.63  (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted))
% 0.45/0.63  (declare-const tptp.successor (-> $$unsorted $$unsorted))
% 0.45/0.63  (declare-const tptp.successor_relation $$unsorted)
% 0.45/0.63  (declare-const tptp.range_of (-> $$unsorted $$unsorted))
% 0.45/0.63  (declare-const tptp.power_class (-> $$unsorted $$unsorted))
% 0.45/0.63  (declare-const tptp.inverse (-> $$unsorted $$unsorted))
% 0.45/0.63  (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted))
% 0.45/0.63  (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted))
% 0.45/0.63  (declare-const tptp.identity_relation $$unsorted)
% 0.45/0.63  (define @t1 () (@var "Y" $$unsorted))
% 0.45/0.63  (define @t2 () (@var "U" $$unsorted))
% 0.45/0.63  (define @t3 () (tptp.member @t2 @t1))
% 0.45/0.63  (define @t4 () (@var "X" $$unsorted))
% 0.45/0.63  (define @t5 () (tptp.member @t2 @t4))
% 0.45/0.63  (define @t6 () (@list @t2))
% 0.45/0.63  (define @t7 () (forall @t6 (=> @t5 @t3)))
% 0.45/0.63  (define @t8 () (tptp.subclass @t4 @t1))
% 0.45/0.63  (define @t9 () (= @t8 @t7))
% 0.45/0.63  (define @t10 () (@list @t4 @t1))
% 0.45/0.63  (define @t11 () (forall @t10 @t9))
% 0.45/0.63  (define @t12 () (@list @t4))
% 0.45/0.63  (define @t13 () (forall @t10 (= (= @t4 @t1) (and @t8 (tptp.subclass @t1 @t4)))))
% 0.45/0.63  (define @t14 () (tptp.member @t2 tptp.universal_class))
% 0.45/0.63  (define @t15 () (tptp.unordered_pair @t4 @t1))
% 0.45/0.63  (define @t16 () (tptp.singleton @t4))
% 0.45/0.63  (define @t17 () (tptp.singleton @t1))
% 0.45/0.63  (define @t18 () (tptp.ordered_pair @t4 @t1))
% 0.45/0.63  (define @t19 () (@var "V" $$unsorted))
% 0.45/0.63  (define @t20 () (tptp.cross_product @t4 @t1))
% 0.45/0.63  (define @t21 () (tptp.ordered_pair @t2 @t19))
% 0.45/0.63  (define @t22 () (tptp.member @t1 tptp.universal_class))
% 0.45/0.63  (define @t23 () (tptp.member @t4 tptp.universal_class))
% 0.45/0.63  (define @t24 () (@var "Z" $$unsorted))
% 0.45/0.63  (define @t25 () (@list @t4 @t1 @t24))
% 0.45/0.63  (define @t26 () (tptp.cross_product tptp.universal_class tptp.universal_class))
% 0.45/0.63  (define @t27 () (tptp.member @t24 @t1))
% 0.45/0.63  (define @t28 () (tptp.member @t24 @t4))
% 0.45/0.63  (define @t29 () (tptp.member @t24 tptp.universal_class))
% 0.45/0.63  (define @t30 () (@list @t4 @t24))
% 0.45/0.63  (define @t31 () (@var "XR" $$unsorted))
% 0.45/0.63  (define @t32 () (forall @t12 (not (tptp.member @t4 tptp.null_class))))
% 0.45/0.63  (define @t33 () (@var "W" $$unsorted))
% 0.45/0.63  (define @t34 () (tptp.cross_product @t26 tptp.universal_class))
% 0.45/0.63  (define @t35 () (tptp.ordered_pair @t21 @t33))
% 0.45/0.63  (define @t36 () (tptp.member @t35 @t34))
% 0.45/0.63  (define @t37 () (tptp.rotate @t4))
% 0.45/0.63  (define @t38 () (tptp.flip @t4))
% 0.45/0.63  (define @t39 () (tptp.successor @t4))
% 0.45/0.63  (define @t40 () (@list @t1))
% 0.45/0.63  (define @t41 () (@list @t24))
% 0.45/0.63  (define @t42 () (tptp.inductive @t4))
% 0.45/0.63  (define @t43 () (tptp.sum_class @t4))
% 0.45/0.63  (define @t44 () (@list @t2 @t4))
% 0.45/0.63  (define @t45 () (@var "YR" $$unsorted))
% 0.45/0.63  (define @t46 () (tptp.compose @t45 @t31))
% 0.45/0.63  (define @t47 () (@var "XF" $$unsorted))
% 0.45/0.63  (define @t48 () (tptp.function @t47))
% 0.45/0.63  (define @t49 () (@list @t47))
% 0.45/0.63  (define @t50 () (= @t4 tptp.null_class))
% 0.45/0.63  (define @t51 () (tptp.apply @t47 @t1))
% 0.45/0.63  (define @t52 () (tptp.subclass @t4 tptp.null_class))
% 0.45/0.63  (define @t53 () (forall @t12 (=> @t52 @t50)))
% 0.45/0.63  (define @t54 () (not @t53))
% 0.45/0.63  (define @t55 () (forall @t12 (or (not @t52) @t50)))
% 0.45/0.63  (define @t56 () (@quantifiers_skolemize @t55 0))
% 0.45/0.63  (define @t57 () (tptp.subclass tptp.null_class @t56))
% 0.45/0.63  (define @t58 () (tptp.subclass @t56 tptp.null_class))
% 0.45/0.63  (define @t59 () (and @t58 @t57))
% 0.45/0.63  (define @t60 () (= @t56 tptp.null_class))
% 0.45/0.63  (define @t61 () (= @t60 @t59))
% 0.45/0.63  (define @t62 () (= tptp.null_class @t56))
% 0.45/0.63  (define @t63 () (= @t62 @t59))
% 0.45/0.63  (define @t64 () (not @t58))
% 0.45/0.63  (define @t65 () (or @t64 @t62))
% 0.45/0.63  (define @t66 () (not @t65))
% 0.45/0.63  (define @t67 () (not @t55))
% 0.45/0.63  (define @t68 () (or @t64 @t60))
% 0.45/0.63  (define @t69 () (not @t68))
% 0.45/0.63  (define @t70 () (@list true))
% 0.45/0.63  (define @t71 () (@list @t65))
% 0.45/0.63  (define @t72 () (not @t59))
% 0.45/0.63  (define @t73 () (@list true false))
% 0.45/0.63  (define @t74 () (not @t57))
% 0.45/0.63  (define @t75 () (forall @t6 (or (not (tptp.member @t2 tptp.null_class)) (tptp.member @t2 @t56))))
% 0.45/0.63  (define @t76 () (= @t57 @t75))
% 0.45/0.63  (define @t77 () (not @t75))
% 0.45/0.63  (define @t78 () (@quantifiers_skolemize @t75 0))
% 0.45/0.63  (define @t79 () (tptp.member @t78 tptp.null_class))
% 0.45/0.63  (define @t80 () (not @t79))
% 0.45/0.63  (define @t81 () (or @t80 (tptp.member @t78 @t56)))
% 0.45/0.63  (assume @p1 @t11)
% 0.45/0.63  (assume @p2 (forall @t12 (tptp.subclass @t4 tptp.universal_class)))
% 0.45/0.63  (assume @p3 @t13)
% 0.45/0.63  (assume @p4 (forall (@list @t2 @t4 @t1) (= (tptp.member @t2 @t15) (and @t14 (or (= @t2 @t4) (= @t2 @t1))))))
% 0.45/0.63  (assume @p5 (forall @t10 (tptp.member @t15 tptp.universal_class)))
% 0.45/0.63  (assume @p6 (forall @t12 (= @t16 (tptp.unordered_pair @t4 @t4))))
% 0.45/0.63  (assume @p7 (forall @t10 (= @t18 (tptp.unordered_pair @t16 (tptp.unordered_pair @t4 @t17)))))
% 0.45/0.63  (assume @p8 (forall (@list @t2 @t19 @t4 @t1) (= (tptp.member @t21 @t20) (and @t5 (tptp.member @t19 @t1)))))
% 0.45/0.63  (assume @p9 (forall @t10 (=> (and @t23 @t22) (and (= (tptp.first @t18) @t4) (= (tptp.second @t18) @t1)))))
% 0.45/0.63  (assume @p10 (forall @t25 (=> (tptp.member @t24 @t20) (= @t24 (tptp.ordered_pair (tptp.first @t24) (tptp.second @t24))))))
% 0.45/0.63  (assume @p11 (forall @t10 (= (tptp.member @t18 tptp.element_relation) (and @t22 (tptp.member @t4 @t1)))))
% 0.45/0.63  (assume @p12 (tptp.subclass tptp.element_relation @t26))
% 0.45/0.63  (assume @p13 (forall @t25 (= (tptp.member @t24 (tptp.intersection @t4 @t1)) (and @t28 @t27))))
% 0.45/0.63  (assume @p14 (forall @t30 (= (tptp.member @t24 (tptp.complement @t4)) (and @t29 (not @t28)))))
% 0.45/0.63  (assume @p15 (forall (@list @t4 @t31 @t1) (= (tptp.restrict @t31 @t4 @t1) (tptp.intersection @t31 @t20))))
% 0.45/0.63  (assume @p16 @t32)
% 0.45/0.63  (assume @p17 (forall @t30 (= (tptp.member @t24 (tptp.domain_of @t4)) (and @t29 (not (= (tptp.restrict @t4 (tptp.singleton @t24) tptp.universal_class) tptp.null_class))))))
% 0.45/0.63  (assume @p18 (forall (@list @t4 @t2 @t19 @t33) (= (tptp.member @t35 @t37) (and @t36 (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t19 @t33) @t2) @t4)))))
% 0.45/0.63  (assume @p19 (forall @t12 (tptp.subclass @t37 @t34)))
% 0.45/0.63  (assume @p20 (forall (@list @t2 @t19 @t33 @t4) (= (tptp.member @t35 @t38) (and @t36 (tptp.member (tptp.ordered_pair (tptp.ordered_pair @t19 @t2) @t33) @t4)))))
% 0.45/0.63  (assume @p21 (forall @t12 (tptp.subclass @t38 @t34)))
% 0.45/0.63  (assume @p22 (forall @t25 (= (tptp.member @t24 (tptp.union @t4 @t1)) (or @t28 @t27))))
% 0.45/0.63  (assume @p23 (forall @t12 (= @t39 (tptp.union @t4 @t16))))
% 0.45/0.63  (assume @p24 (tptp.subclass tptp.successor_relation @t26))
% 0.45/0.63  (assume @p25 (forall @t10 (= (tptp.member @t18 tptp.successor_relation) (and @t23 @t22 (= @t39 @t1)))))
% 0.45/0.63  (assume @p26 (forall @t40 (= (tptp.inverse @t1) (tptp.domain_of (tptp.flip (tptp.cross_product @t1 tptp.universal_class))))))
% 0.45/0.63  (assume @p27 (forall @t41 (= (tptp.range_of @t24) (tptp.domain_of (tptp.inverse @t24)))))
% 0.45/0.63  (assume @p28 (forall (@list @t4 @t31) (= (tptp.image @t31 @t4) (tptp.range_of (tptp.restrict @t31 @t4 tptp.universal_class)))))
% 0.45/0.63  (assume @p29 (forall @t12 (= @t42 (and (tptp.member tptp.null_class @t4) (tptp.subclass (tptp.image tptp.successor_relation @t4) @t4)))))
% 0.45/0.63  (assume @p30 (exists @t12 (and @t23 @t42 (forall @t40 (=> (tptp.inductive @t1) @t8)))))
% 0.45/0.63  (assume @p31 (forall @t44 (= (tptp.member @t2 @t43) (exists @t40 (and @t3 (tptp.member @t1 @t4))))))
% 0.45/0.63  (assume @p32 (forall @t12 (=> @t23 (tptp.member @t43 tptp.universal_class))))
% 0.45/0.63  (assume @p33 (forall @t44 (= (tptp.member @t2 (tptp.power_class @t4)) (and @t14 (tptp.subclass @t2 @t4)))))
% 0.45/0.63  (assume @p34 (forall @t6 (=> @t14 (tptp.member (tptp.power_class @t2) tptp.universal_class))))
% 0.45/0.63  (assume @p35 (forall (@list @t31 @t45) (tptp.subclass @t46 @t26)))
% 0.45/0.63  (assume @p36 (forall (@list @t31 @t45 @t2 @t19) (= (tptp.member @t21 @t46) (and @t14 (tptp.member @t19 (tptp.image @t45 (tptp.image @t31 (tptp.singleton @t2))))))))
% 0.45/0.63  (assume @p37 (forall @t41 (= (tptp.member @t24 tptp.identity_relation) (exists @t12 (and @t23 (= @t24 (tptp.ordered_pair @t4 @t4)))))))
% 0.45/0.63  (assume @p38 (forall @t49 (= @t48 (and (tptp.subclass @t47 @t26) (tptp.subclass (tptp.compose @t47 (tptp.inverse @t47)) tptp.identity_relation)))))
% 0.45/0.63  (assume @p39 (forall (@list @t4 @t47) (=> (and @t23 @t48) (tptp.member (tptp.image @t47 @t4) tptp.universal_class))))
% 0.45/0.63  (assume @p40 (forall @t10 (= (tptp.disjoint @t4 @t1) (forall @t6 (not (and @t5 @t3))))))
% 0.45/0.63  (assume @p41 (forall @t12 (=> (not @t50) (exists @t6 (and @t14 @t5 (tptp.disjoint @t2 @t4))))))
% 0.45/0.63  (assume @p42 (forall (@list @t47 @t1) (= @t51 (tptp.sum_class (tptp.image @t47 @t17)))))
% 0.45/0.63  (assume @p43 (exists @t49 (and @t48 (forall @t40 (=> @t22 (or (= @t1 tptp.null_class) (tptp.member @t51 @t1)))))))
% 0.45/0.63  (assume @p44 @t54)
% 0.45/0.63  (assume @p45 true)
% 0.45/0.63  (step @p46 :rule bool-impl-elim :args (@t5 @t3))
% 0.45/0.63  (step @p47 :rule cong :premises (@p46) :args (@t7))
% 0.45/0.63  (step @p48 :rule refl :args (@t8))
% 0.45/0.63  (step @p49 :rule cong :premises (@p48 @p47) :args (@t9))
% 0.45/0.63  (step @p50 :rule cong :premises (@p49) :args (@t11))
% 0.45/0.63  (step @p51 :rule eq_resolve :premises (@p1 @p50))
% 0.45/0.63  (step @p52 :rule instantiate :premises (@p51) :args ((@list tptp.null_class @t56)))
% 0.45/0.63  (step @p53 :rule refl :args (@t59))
% 0.45/0.63  (step @p54 :rule eq-symm :args (@t56 tptp.null_class))
% 0.45/0.63  (step @p55 :rule cong :premises (@p54 @p53) :args (@t61))
% 0.45/0.63  (step @p56 :rule refl :args (@t13))
% 0.45/0.63  (step @p57 :rule cong :premises (@p56 @p55) :args ((=> @t13 @t61)))
% 0.45/0.63  (assume-push @p117 @t13)
% 0.45/0.63  (step @p59 :rule instantiate :premises (@p3) :args ((@list @t56 tptp.null_class)))
% 0.45/0.63  (step-pop @p118 :rule scope :premises (@p59))
% 0.45/0.63  (step @p60 :rule process_scope :premises (@p118) :args (@t61))
% 0.45/0.63  (step @p62 :rule eq_resolve :premises (@p60 @p57))
% 0.45/0.63  (step @p63 :rule implies_elim :premises (@p62))
% 0.45/0.63  (step @p64 :rule chain_m_resolution :premises (@p63 @p3) :args (@t63 (@list false) (@list @t13)))
% 0.45/0.63  (step @p65 :rule bool-impl-elim :args (@t52 @t50))
% 0.45/0.63  (step @p66 :rule cong :premises (@p65) :args (@t53))
% 0.45/0.63  (step @p67 :rule cong :premises (@p66) :args (@t54))
% 0.45/0.63  (step @p68 :rule eq_resolve :premises (@p44 @p67))
% 0.45/0.63  (step @p69 :rule refl :args (@t66))
% 0.45/0.63  (step @p70 :rule bool-double-not-elim :args (@t55))
% 0.45/0.63  (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or (not @t67) @t66)))
% 0.45/0.63  (step @p72 :rule refl :args (@t64))
% 0.45/0.63  (step @p73 :rule nary_cong :premises (@p72 @p54) :args (@t68))
% 0.45/0.63  (step @p74 :rule cong :premises (@p73) :args (@t69))
% 0.45/0.63  (step @p75 :rule refl :args (@t67))
% 0.45/0.63  (step @p76 :rule cong :premises (@p75 @p74) :args ((=> @t67 @t69)))
% 0.45/0.63  (assume-push @p119 @t67)
% 0.45/0.63  (step @p78 :rule skolemize :premises (@p68))
% 0.45/0.63  (step-pop @p120 :rule scope :premises (@p78))
% 0.45/0.63  (step @p79 :rule process_scope :premises (@p120) :args (@t69))
% 0.45/0.63  (step @p81 :rule eq_resolve :premises (@p79 @p76))
% 0.45/0.63  (step @p82 :rule implies_elim :premises (@p81))
% 0.45/0.63  (step @p83 :rule eq_resolve :premises (@p82 @p71))
% 0.45/0.63  (step @p84 :rule chain_m_resolution :premises (@p83 @p68) :args (@t66 @t70 (@list @t55)))
% 0.45/0.63  (step @p85 :rule cnf_or_neg :args (@t65 1))
% 0.45/0.63  (step @p86 :rule chain_m_resolution :premises (@p85 @p84) :args ((not @t62) @t70 @t71))
% 0.45/0.63  (step @p87 :rule cnf_equiv_pos2 :args (@t63))
% 0.45/0.63  (step @p88 :rule reordering :premises (@p87) :args ((or @t62 @t72 (not @t63))))
% 0.45/0.63  (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p64) :args (@t72 @t73 (@list @t62 @t63)))
% 0.45/0.63  (step @p90 :rule bool-double-not-elim :args (@t58))
% 0.45/0.63  (step @p91 :rule refl :args (@t65))
% 0.45/0.63  (step @p92 :rule nary_cong :premises (@p91 @p90) :args ((or @t65 (not @t64))))
% 0.45/0.63  (step @p93 :rule cnf_or_neg :args (@t65 0))
% 0.45/0.63  (step @p94 :rule eq_resolve :premises (@p93 @p92))
% 0.45/0.63  (step @p95 :rule reordering :premises (@p94) :args ((or @t58 @t65)))
% 0.45/0.64  (step @p96 :rule chain_m_resolution :premises (@p95 @p84) :args (@t58 @t70 @t71))
% 0.45/0.64  (step @p97 :rule cnf_and_neg :args (@t59))
% 0.45/0.64  (step @p98 :rule reordering :premises (@p97) :args ((or @t64 @t59 @t74)))
% 0.45/0.64  (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p89) :args (@t74 (@list false true) (@list @t58 @t59)))
% 0.45/0.64  (step @p100 :rule cnf_equiv_pos2 :args (@t76))
% 0.45/0.64  (step @p101 :rule reordering :premises (@p100) :args ((or @t57 @t77 (not @t76))))
% 0.45/0.64  (step @p102 :rule chain_m_resolution :premises (@p101 @p99 @p52) :args (@t77 @t73 (@list @t57 @t76)))
% 0.45/0.64  (step @p103 :rule skolemize :premises (@p102))
% 0.45/0.64  (step @p104 :rule bool-double-not-elim :args (@t79))
% 0.45/0.64  (step @p105 :rule refl :args (@t81))
% 0.45/0.64  (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or @t81 (not @t80))))
% 0.45/0.64  (step @p107 :rule cnf_or_neg :args (@t81 0))
% 0.45/0.64  (step @p108 :rule eq_resolve :premises (@p107 @p106))
% 0.45/0.64  (step @p109 :rule reordering :premises (@p108) :args ((or @t79 @t81)))
% 0.45/0.64  (step @p110 :rule chain_m_resolution :premises (@p109 @p103) :args (@t79 @t70 (@list @t81)))
% 0.45/0.64  (assume-push @p121 @t32)
% 0.45/0.64  (step @p112 :rule instantiate :premises (@p16) :args ((@list @t78)))
% 0.45/0.64  (step-pop @p122 :rule scope :premises (@p112))
% 0.45/0.64  (step @p113 :rule process_scope :premises (@p122) :args (@t80))
% 0.45/0.64  (step @p115 :rule implies_elim :premises (@p113))
% 0.45/0.64  (step @p116 false :rule chain_m_resolution :premises (@p115 @p110 @p16) :args (false (@list false false) (@list @t79 @t32)))
% 0.45/0.64  )
% 0.45/0.64  % SZS output end Proof
% 0.45/0.64  % cvc5 exiting
%------------------------------------------------------------------------------