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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LCL161-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 11:22:16 AM UTC 2026

% Result   : Unsatisfiable 0.17s 0.51s
% Output   : Proof 0.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL161-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.35  % Computer : n001.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Sat Sep  5 08:59:31 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.13/0.42  %----Proving TF0_NAR, FOF, or CNF
% 0.13/0.43  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.17/0.51  % SZS status Unsatisfiable
% 0.17/0.51  % SZS output start Proof
% 0.17/0.51  (
% 0.17/0.51  (declare-sort $$unsorted 0)
% 0.17/0.51  (declare-const tptp.x $$unsorted)
% 0.17/0.51  (declare-const tptp.falsehood $$unsorted)
% 0.17/0.51  (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted))
% 0.17/0.51  (declare-const tptp.not (-> $$unsorted $$unsorted))
% 0.17/0.51  (declare-const tptp.xor (-> $$unsorted $$unsorted $$unsorted))
% 0.17/0.51  (declare-const tptp.and_star (-> $$unsorted $$unsorted $$unsorted))
% 0.17/0.51  (declare-const tptp.truth $$unsorted)
% 0.17/0.51  (define @t1 () (@var "X" $$unsorted))
% 0.17/0.51  (define @t2 () (tptp.xor @t1 tptp.truth))
% 0.17/0.51  (define @t3 () (@list @t1))
% 0.17/0.51  (define @t4 () (tptp.xor @t1 tptp.falsehood))
% 0.17/0.51  (define @t5 () (forall @t3 (= @t4 @t1)))
% 0.17/0.51  (define @t6 () (tptp.and_star @t1 tptp.truth))
% 0.17/0.51  (define @t7 () (forall @t3 (= @t6 @t1)))
% 0.17/0.51  (define @t8 () (tptp.xor tptp.truth @t1))
% 0.17/0.51  (define @t9 () (@var "Y" $$unsorted))
% 0.17/0.51  (define @t10 () (tptp.xor tptp.truth @t9))
% 0.17/0.51  (define @t11 () (@list @t1 @t9))
% 0.17/0.51  (define @t12 () (@var "Z" $$unsorted))
% 0.17/0.51  (define @t13 () (tptp.and_star @t1 @t9))
% 0.17/0.51  (define @t14 () (@list tptp.truth tptp.x))
% 0.17/0.51  (define @t15 () (tptp.xor tptp.truth tptp.x))
% 0.17/0.51  (define @t16 () (tptp.xor tptp.x tptp.falsehood))
% 0.17/0.51  (define @t17 () (= tptp.x @t16))
% 0.17/0.51  (define @t18 () (forall @t3 (= @t1 @t4)))
% 0.17/0.51  (assume @p1 (forall @t3 (= (tptp.not @t1) @t2)))
% 0.17/0.51  (assume @p2 @t5)
% 0.17/0.51  (assume @p3 (forall @t3 (= (tptp.xor @t1 @t1) tptp.falsehood)))
% 0.17/0.51  (assume @p4 @t7)
% 0.17/0.51  (assume @p5 (forall @t3 (= (tptp.and_star @t1 tptp.falsehood) tptp.falsehood)))
% 0.17/0.51  (assume @p6 (forall @t3 (= (tptp.and_star @t8 @t1) tptp.falsehood)))
% 0.17/0.51  (assume @p7 (forall @t11 (= (tptp.xor @t1 @t10) (tptp.xor @t2 @t9))))
% 0.17/0.51  (assume @p8 (forall @t11 (= (tptp.and_star (tptp.xor (tptp.and_star @t8 @t9) tptp.truth) @t9) (tptp.and_star (tptp.xor (tptp.and_star @t10 @t1) tptp.truth) @t1))))
% 0.17/0.51  (assume @p9 (forall @t11 (= (tptp.xor @t1 @t9) (tptp.xor @t9 @t1))))
% 0.17/0.51  (assume @p10 (forall (@list @t1 @t9 @t12) (= (tptp.and_star @t13 @t12) (tptp.and_star @t1 (tptp.and_star @t9 @t12)))))
% 0.17/0.51  (assume @p11 (forall @t11 (= @t13 (tptp.and_star @t9 @t1))))
% 0.17/0.51  (assume @p12 (= (tptp.not tptp.truth) tptp.falsehood))
% 0.17/0.51  (assume @p13 (forall @t11 (= (tptp.implies @t1 @t9) (tptp.xor tptp.truth (tptp.and_star @t1 @t10)))))
% 0.17/0.51  (assume @p14 (not (= (tptp.implies tptp.truth tptp.x) tptp.x)))
% 0.17/0.51  (step @p15 :rule eq-symm :args (@t4 @t1))
% 0.17/0.51  (step @p16 :rule cong :premises (@p15) :args (@t5))
% 0.17/0.51  (step @p17 :rule eq_resolve :premises (@p2 @p16))
% 0.17/0.51  (step @p18 :rule symm :premises (@p14))
% 0.17/0.51  (step @p19 :rule false_intro :premises (@p18))
% 0.17/0.51  (step @p20 :rule instantiate :premises (@p13) :args (@t14))
% 0.17/0.51  (step @p21 :rule symm :premises (@p20))
% 0.17/0.51  (step @p22 :rule instantiate :premises (@p9) :args ((@list tptp.truth (tptp.and_star tptp.truth @t15))))
% 0.17/0.51  (step @p23 :rule symm :premises (@p22))
% 0.17/0.51  (step @p24 :rule refl :args (tptp.truth))
% 0.17/0.51  (step @p25 :rule instantiate :premises (@p11) :args ((@list tptp.truth @t15)))
% 0.17/0.51  (step @p26 :rule symm :premises (@p25))
% 0.17/0.51  (step @p27 :rule cong :premises (@p26 @p24) :args ((tptp.xor (tptp.and_star @t15 tptp.truth) tptp.truth)))
% 0.17/0.51  (step @p28 :rule eq-symm :args (@t6 @t1))
% 0.17/0.51  (step @p29 :rule cong :premises (@p28) :args (@t7))
% 0.17/0.51  (step @p30 :rule eq_resolve :premises (@p4 @p29))
% 0.17/0.51  (step @p31 :rule instantiate :premises (@p30) :args ((@list @t15)))
% 0.17/0.51  (step @p32 :rule instantiate :premises (@p9) :args (@t14))
% 0.17/0.51  (step @p33 :rule symm :premises (@p32))
% 0.17/0.51  (step @p34 :rule trans :premises (@p33 @p31 @p26))
% 0.17/0.51  (step @p35 :rule trans :premises (@p34 @p25))
% 0.17/0.51  (step @p36 :rule cong :premises (@p35 @p24) :args ((tptp.xor (tptp.xor tptp.x tptp.truth) tptp.truth)))
% 0.17/0.51  (step @p37 :rule instantiate :premises (@p7) :args ((@list tptp.x tptp.truth)))
% 0.17/0.51  (step @p38 :rule instantiate :premises (@p1) :args ((@list tptp.truth)))
% 0.17/0.51  (step @p39 :rule symm :premises (@p12))
% 0.17/0.51  (step @p40 :rule trans :premises (@p39 @p38))
% 0.17/0.51  (step @p41 :rule refl :args (tptp.x))
% 0.17/0.51  (step @p42 :rule cong :premises (@p41 @p40) :args (@t16))
% 0.17/0.51  (step @p43 :rule trans :premises (@p42 @p37 @p36 @p27 @p23 @p21))
% 0.17/0.51  (step @p44 :rule cong :premises (@p41 @p43) :args (@t17))
% 0.17/0.51  (step @p45 :rule trans :premises (@p44 @p19))
% 0.17/0.51  (step @p46 :rule false_elim :premises (@p45))
% 0.17/0.51  (assume-push @p53 @t18)
% 0.17/0.51  (step @p48 :rule instantiate :premises (@p17) :args ((@list tptp.x)))
% 0.17/0.51  (step-pop @p54 :rule scope :premises (@p48))
% 0.17/0.51  (step @p49 :rule process_scope :premises (@p54) :args (@t17))
% 0.17/0.51  (step @p51 :rule implies_elim :premises (@p49))
% 0.17/0.51  (step @p52 false :rule chain_m_resolution :premises (@p51 @p46 @p17) :args (false (@list true false) (@list @t17 @t18)))
% 0.17/0.51  )
% 0.17/0.51  % SZS output end Proof
% 0.17/0.52  % cvc5 exiting
%------------------------------------------------------------------------------