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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : REL049-1 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n005.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 08:45:05 AM UTC 2026

% Result   : Unsatisfiable 0.30s 0.54s
% Output   : Proof 0.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : REL049-1 : TPTP v9.2.1. Released v4.0.0.
% 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 : n005.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 13:52:33 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.30/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.30/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.30/0.54  % SZS status Unsatisfiable
% 0.30/0.54  % SZS output start Proof
% 0.30/0.55  (
% 0.30/0.55  (declare-sort $$unsorted 0)
% 0.30/0.55  (declare-const tptp.sk1 $$unsorted)
% 0.30/0.55  (declare-const tptp.sk2 $$unsorted)
% 0.30/0.55  (declare-const tptp.top $$unsorted)
% 0.30/0.55  (declare-const tptp.converse (-> $$unsorted $$unsorted))
% 0.30/0.55  (declare-const tptp.one $$unsorted)
% 0.30/0.55  (declare-const tptp.composition (-> $$unsorted $$unsorted $$unsorted))
% 0.30/0.55  (declare-const tptp.sk3 $$unsorted)
% 0.30/0.55  (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted))
% 0.30/0.55  (declare-const tptp.complement (-> $$unsorted $$unsorted))
% 0.30/0.55  (declare-const tptp.zero $$unsorted)
% 0.30/0.55  (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted))
% 0.30/0.55  (define @t1 () (@var "A" $$unsorted))
% 0.30/0.55  (define @t2 () (@var "B" $$unsorted))
% 0.30/0.55  (define @t3 () (tptp.join @t1 @t2))
% 0.30/0.55  (define @t4 () (@list @t1 @t2))
% 0.30/0.55  (define @t5 () (@var "C" $$unsorted))
% 0.30/0.55  (define @t6 () (@list @t1 @t2 @t5))
% 0.30/0.55  (define @t7 () (forall @t6 (= (tptp.join @t1 (tptp.join @t2 @t5)) (tptp.join @t3 @t5))))
% 0.30/0.55  (define @t8 () (tptp.complement @t1))
% 0.30/0.55  (define @t9 () (tptp.complement @t2))
% 0.30/0.55  (define @t10 () (tptp.complement (tptp.join @t8 @t9)))
% 0.30/0.55  (define @t11 () (tptp.composition @t1 @t2))
% 0.30/0.55  (define @t12 () (tptp.composition @t2 @t5))
% 0.30/0.55  (define @t13 () (@list @t1))
% 0.30/0.55  (define @t14 () (tptp.converse @t1))
% 0.30/0.55  (define @t15 () (tptp.converse @t2))
% 0.30/0.55  (define @t16 () (tptp.join tptp.sk3 tptp.sk2))
% 0.30/0.55  (define @t17 () (tptp.join (tptp.join tptp.sk1 tptp.sk3) tptp.sk2))
% 0.30/0.55  (define @t18 () (tptp.join tptp.sk1 @t16))
% 0.30/0.55  (define @t19 () (= @t17 @t18))
% 0.30/0.55  (define @t20 () (= @t18 @t17))
% 0.30/0.55  (assume @p1 (forall @t4 (= @t3 (tptp.join @t2 @t1))))
% 0.30/0.55  (assume @p2 @t7)
% 0.30/0.55  (assume @p3 (forall @t4 (= @t1 (tptp.join @t10 (tptp.complement (tptp.join @t8 @t2))))))
% 0.30/0.55  (assume @p4 (forall @t4 (= (tptp.meet @t1 @t2) @t10)))
% 0.30/0.55  (assume @p5 (forall @t6 (= (tptp.composition @t1 @t12) (tptp.composition @t11 @t5))))
% 0.30/0.55  (assume @p6 (forall @t13 (= (tptp.composition @t1 tptp.one) @t1)))
% 0.30/0.55  (assume @p7 (forall @t6 (= (tptp.composition @t3 @t5) (tptp.join (tptp.composition @t1 @t5) @t12))))
% 0.30/0.55  (assume @p8 (forall @t13 (= (tptp.converse @t14) @t1)))
% 0.30/0.55  (assume @p9 (forall @t4 (= (tptp.converse @t3) (tptp.join @t14 @t15))))
% 0.30/0.55  (assume @p10 (forall @t4 (= (tptp.converse @t11) (tptp.composition @t15 @t14))))
% 0.30/0.55  (assume @p11 (forall @t4 (= (tptp.join (tptp.composition @t14 (tptp.complement @t11)) @t9) @t9)))
% 0.30/0.55  (assume @p12 (forall @t13 (= tptp.top (tptp.join @t1 @t8))))
% 0.30/0.55  (assume @p13 (forall @t13 (= tptp.zero (tptp.meet @t1 @t8))))
% 0.30/0.55  (assume @p14 (= (tptp.join tptp.sk1 tptp.sk2) tptp.sk2))
% 0.30/0.55  (assume @p15 (= @t16 tptp.sk2))
% 0.30/0.55  (assume @p16 (not (= @t17 tptp.sk2)))
% 0.30/0.55  (step @p17 :rule bool-eq-false :args (@t19))
% 0.30/0.55  (step @p18 :rule symm :premises (@p17))
% 0.30/0.55  (step @p19 :rule eq-symm :args (@t18 @t17))
% 0.30/0.55  (step @p20 :rule cong :premises (@p19) :args ((not @t20)))
% 0.30/0.55  (step @p21 :rule bool-eq-false :args (@t20))
% 0.30/0.55  (step @p22 :rule trans :premises (@p21 @p20))
% 0.30/0.55  (step @p23 :rule trans :premises (@p22 @p18))
% 0.30/0.55  (step @p24 :rule symm :premises (@p16))
% 0.30/0.55  (step @p25 :rule false_intro :premises (@p24))
% 0.30/0.55  (step @p26 :rule refl :args (@t17))
% 0.30/0.55  (step @p27 :rule refl :args (tptp.sk1))
% 0.30/0.55  (step @p28 :rule cong :premises (@p27 @p15) :args (@t18))
% 0.30/0.55  (step @p29 :rule trans :premises (@p28 @p14))
% 0.30/0.55  (step @p30 :rule cong :premises (@p29 @p26) :args (@t20))
% 0.30/0.55  (step @p31 :rule trans :premises (@p30 @p25))
% 0.30/0.55  (step @p32 :rule eq_resolve :premises (@p31 @p23))
% 0.30/0.55  (step @p33 :rule false_elim :premises (@p32))
% 0.30/0.55  (step @p34 :rule refl :args (@t7))
% 0.30/0.55  (step @p35 :rule cong :premises (@p34 @p19) :args ((=> @t7 @t20)))
% 0.30/0.55  (assume-push @p43 @t7)
% 0.30/0.55  (step @p37 :rule instantiate :premises (@p2) :args ((@list tptp.sk1 tptp.sk3 tptp.sk2)))
% 0.30/0.55  (step-pop @p44 :rule scope :premises (@p37))
% 0.30/0.55  (step @p38 :rule process_scope :premises (@p44) :args (@t20))
% 0.30/0.55  (step @p40 :rule eq_resolve :premises (@p38 @p35))
% 0.30/0.55  (step @p41 :rule implies_elim :premises (@p40))
% 0.30/0.55  (step @p42 false :rule chain_m_resolution :premises (@p41 @p33 @p2) :args (false (@list true false) (@list @t19 @t7)))
% 0.30/0.55  )
% 0.30/0.55  % SZS output end Proof
% 0.30/0.55  % cvc5 exiting
%------------------------------------------------------------------------------