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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LCL132-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n031.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 11:22:13 AM UTC 2026

% Result   : Unsatisfiable 0.19s 0.46s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL132-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.34  % Computer : n031.cluster.edu
% 0.08/0.34  % Model    : x86_64 x86_64
% 0.08/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34  % Memory   : 8046.5625MB
% 0.08/0.34  % OS       : Linux 6.8.0-71-generic
% 0.08/0.34  % CPULimit : 300
% 0.08/0.34  % WCLimit  : 300
% 0.08/0.34  % DateTime : Fri Sep  4 20:21:09 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...
% 0.19/0.46  % SZS status Unsatisfiable
% 0.19/0.46  % SZS output start Proof
% 0.19/0.46  (
% 0.19/0.46  (declare-sort $$unsorted 0)
% 0.19/0.46  (declare-const tptp.x $$unsorted)
% 0.19/0.46  (declare-const tptp.not (-> $$unsorted $$unsorted))
% 0.19/0.46  (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted))
% 0.19/0.46  (declare-const tptp.truth $$unsorted)
% 0.19/0.46  (define @t1 () (@var "X" $$unsorted))
% 0.19/0.46  (define @t2 () (tptp.implies tptp.truth @t1))
% 0.19/0.46  (define @t3 () (@list @t1))
% 0.19/0.46  (define @t4 () (forall @t3 (= @t2 @t1)))
% 0.19/0.46  (define @t5 () (@var "Z" $$unsorted))
% 0.19/0.46  (define @t6 () (@var "Y" $$unsorted))
% 0.19/0.46  (define @t7 () (tptp.implies @t1 @t6))
% 0.19/0.46  (define @t8 () (tptp.implies @t7 (tptp.implies (tptp.implies @t6 @t5) (tptp.implies @t1 @t5))))
% 0.19/0.46  (define @t9 () (forall (@list @t1 @t6 @t5) (= @t8 tptp.truth)))
% 0.19/0.46  (define @t10 () (tptp.implies @t6 @t1))
% 0.19/0.46  (define @t11 () (@list @t1 @t6))
% 0.19/0.46  (define @t12 () (tptp.implies tptp.truth tptp.x))
% 0.19/0.46  (define @t13 () (tptp.implies @t12 @t12))
% 0.19/0.46  (define @t14 () (tptp.implies tptp.truth @t13))
% 0.19/0.46  (define @t15 () (= @t13 @t14))
% 0.19/0.46  (define @t16 () (= @t14 @t13))
% 0.19/0.46  (define @t17 () (forall @t3 (= @t1 @t2)))
% 0.19/0.46  (assume @p1 @t4)
% 0.19/0.46  (assume @p2 @t9)
% 0.19/0.46  (assume @p3 (forall @t11 (= (tptp.implies @t7 @t6) (tptp.implies @t10 @t1))))
% 0.19/0.46  (assume @p4 (forall @t11 (= (tptp.implies (tptp.implies (tptp.not @t1) (tptp.not @t6)) @t10) tptp.truth)))
% 0.19/0.46  (assume @p5 (not (= (tptp.implies tptp.x tptp.x) tptp.truth)))
% 0.19/0.46  (step @p6 :rule eq-symm :args (@t2 @t1))
% 0.19/0.46  (step @p7 :rule cong :premises (@p6) :args (@t4))
% 0.19/0.46  (step @p8 :rule eq_resolve :premises (@p1 @p7))
% 0.19/0.46  (step @p9 :rule bool-eq-false :args (@t15))
% 0.19/0.46  (step @p10 :rule symm :premises (@p9))
% 0.19/0.46  (step @p11 :rule eq-symm :args (@t14 @t13))
% 0.19/0.46  (step @p12 :rule cong :premises (@p11) :args ((not @t16)))
% 0.19/0.46  (step @p13 :rule bool-eq-false :args (@t16))
% 0.19/0.46  (step @p14 :rule trans :premises (@p13 @p12))
% 0.19/0.46  (step @p15 :rule trans :premises (@p14 @p10))
% 0.19/0.46  (step @p16 :rule symm :premises (@p5))
% 0.19/0.46  (step @p17 :rule false_intro :premises (@p16))
% 0.19/0.46  (step @p18 :rule instantiate :premises (@p8) :args ((@list tptp.x)))
% 0.19/0.46  (step @p19 :rule symm :premises (@p18))
% 0.19/0.46  (step @p20 :rule cong :premises (@p19 @p19) :args (@t13))
% 0.19/0.46  (step @p21 :rule eq-symm :args (@t8 tptp.truth))
% 0.19/0.46  (step @p22 :rule cong :premises (@p21) :args (@t9))
% 0.19/0.46  (step @p23 :rule eq_resolve :premises (@p2 @p22))
% 0.19/0.46  (step @p24 :rule instantiate :premises (@p23) :args ((@list tptp.truth tptp.truth tptp.x)))
% 0.19/0.46  (step @p25 :rule symm :premises (@p24))
% 0.19/0.46  (step @p26 :rule refl :args (@t13))
% 0.19/0.46  (step @p27 :rule instantiate :premises (@p8) :args ((@list tptp.truth)))
% 0.19/0.46  (step @p28 :rule cong :premises (@p27 @p26) :args (@t14))
% 0.19/0.46  (step @p29 :rule trans :premises (@p28 @p25))
% 0.19/0.46  (step @p30 :rule cong :premises (@p29 @p20) :args (@t16))
% 0.19/0.46  (step @p31 :rule trans :premises (@p30 @p17))
% 0.19/0.46  (step @p32 :rule eq_resolve :premises (@p31 @p15))
% 0.19/0.46  (step @p33 :rule false_elim :premises (@p32))
% 0.19/0.46  (assume-push @p40 @t17)
% 0.19/0.46  (step @p35 :rule instantiate :premises (@p8) :args ((@list @t13)))
% 0.19/0.46  (step-pop @p41 :rule scope :premises (@p35))
% 0.19/0.46  (step @p36 :rule process_scope :premises (@p41) :args (@t15))
% 0.19/0.46  (step @p38 :rule implies_elim :premises (@p36))
% 0.19/0.46  (step @p39 false :rule chain_m_resolution :premises (@p38 @p33 @p8) :args (false (@list true false) (@list @t15 @t17)))
% 0.19/0.46  )
% 0.19/0.47  % SZS output end Proof
% 0.19/0.47  % cvc5 exiting
%------------------------------------------------------------------------------