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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : CAT019-2 : TPTP v9.2.1. 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 : n007.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 08:09:27 AM UTC 2026

% Result   : Unsatisfiable 0.29s 0.55s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : CAT019-2 : TPTP v9.2.1. Released v1.0.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.36  % Computer : n007.cluster.edu
% 0.19/0.36  % Model    : x86_64 x86_64
% 0.19/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.36  % Memory   : 8042.1875MB
% 0.19/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36  % CPULimit : 300
% 0.19/0.36  % WCLimit  : 300
% 0.19/0.36  % DateTime : Wed Jun  3 02:55:11 EDT 2026
% 0.19/0.36  % CPUTime  : 
% 0.29/0.52  %----Proving TF0_NAR, FOF, or CNF
% 0.29/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.29/0.55  % SZS status Unsatisfiable
% 0.29/0.55  % SZS output start Proof
% 0.29/0.55  (
% 0.29/0.55  (declare-sort $$unsorted 0)
% 0.29/0.55  (declare-const tptp.c2 $$unsorted)
% 0.29/0.55  (declare-const tptp.c1 $$unsorted)
% 0.29/0.55  (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted))
% 0.29/0.55  (declare-const tptp.codomain (-> $$unsorted $$unsorted))
% 0.29/0.55  (declare-const tptp.domain (-> $$unsorted $$unsorted))
% 0.29/0.55  (define @t1 () (@var "X" $$unsorted))
% 0.29/0.55  (define @t2 () (tptp.domain @t1))
% 0.29/0.55  (define @t3 () (@list @t1))
% 0.29/0.55  (define @t4 () (tptp.codomain @t1))
% 0.29/0.55  (define @t5 () (@var "Y" $$unsorted))
% 0.29/0.55  (define @t6 () (tptp.compose @t1 @t5))
% 0.29/0.55  (define @t7 () (not (= @t4 (tptp.domain @t5))))
% 0.29/0.55  (define @t8 () (@list @t1 @t5))
% 0.29/0.55  (define @t9 () (tptp.codomain @t5))
% 0.29/0.55  (define @t10 () (@var "Z" $$unsorted))
% 0.29/0.55  (define @t11 () (= tptp.c1 @t10))
% 0.29/0.55  (define @t12 () (= tptp.c2 @t10))
% 0.29/0.55  (define @t13 () (not @t12))
% 0.29/0.55  (define @t14 () (or @t13 @t11))
% 0.29/0.55  (define @t15 () (@list @t10))
% 0.29/0.55  (define @t16 () (forall @t15 @t14))
% 0.29/0.55  (define @t17 () (= tptp.c2 tptp.c1))
% 0.29/0.55  (define @t18 () (not (= tptp.c2 tptp.c2)))
% 0.29/0.55  (define @t19 () (or @t18 @t17))
% 0.29/0.55  (define @t20 () (= @t10 tptp.c1))
% 0.29/0.55  (define @t21 () (not (= @t10 tptp.c2)))
% 0.29/0.55  (define @t22 () (or @t21 @t21 @t20))
% 0.29/0.55  (define @t23 () (or @t21 @t20))
% 0.29/0.55  (assume @p1 (forall @t3 (= (tptp.codomain @t2) @t2)))
% 0.29/0.55  (assume @p2 (forall @t3 (= (tptp.domain @t4) @t4)))
% 0.29/0.55  (assume @p3 (forall @t3 (= (tptp.compose @t2 @t1) @t1)))
% 0.29/0.55  (assume @p4 (forall @t3 (= (tptp.compose @t1 @t4) @t1)))
% 0.29/0.55  (assume @p5 (forall @t8 (or @t7 (= (tptp.domain @t6) @t2))))
% 0.29/0.55  (assume @p6 (forall @t8 (or @t7 (= (tptp.codomain @t6) @t9))))
% 0.29/0.55  (assume @p7 (forall (@list @t1 @t5 @t10) (or @t7 (not (= @t9 (tptp.domain @t10))) (= (tptp.compose @t1 (tptp.compose @t5 @t10)) (tptp.compose @t6 @t10)))))
% 0.29/0.55  (assume @p8 @t16)
% 0.29/0.55  (assume @p9 (forall @t15 (or @t12 (not @t11))))
% 0.29/0.55  (assume @p10 (not @t17))
% 0.29/0.55  (step @p11 :rule aci_norm :args ((= (or false @t17) @t17)))
% 0.29/0.55  (step @p12 :rule refl :args (@t17))
% 0.29/0.55  (step @p13 :rule evaluate :args ((not true)))
% 0.29/0.55  (step @p14 :rule eq-refl :args (tptp.c2))
% 0.29/0.55  (step @p15 :rule cong :premises (@p14) :args (@t18))
% 0.29/0.55  (step @p16 :rule trans :premises (@p15 @p13))
% 0.29/0.55  (step @p17 :rule nary_cong :premises (@p16 @p12) :args (@t19))
% 0.29/0.55  (step @p18 :rule trans :premises (@p17 @p11))
% 0.29/0.55  (step @p19 :rule quant-var-elim-eq :args ((= (forall @t15 @t22) @t19)))
% 0.29/0.55  (step @p20 :rule aci_norm :args ((= @t23 @t22)))
% 0.29/0.55  (step @p21 :rule cong :premises (@p20) :args ((forall @t15 @t23)))
% 0.29/0.55  (step @p22 :rule trans :premises (@p21 @p19))
% 0.29/0.55  (step @p23 :rule trans :premises (@p22 @p18))
% 0.29/0.55  (step @p24 :rule eq-symm :args (tptp.c1 @t10))
% 0.29/0.55  (step @p25 :rule eq-symm :args (tptp.c2 @t10))
% 0.29/0.55  (step @p26 :rule cong :premises (@p25) :args (@t13))
% 0.29/0.55  (step @p27 :rule nary_cong :premises (@p26 @p24) :args (@t14))
% 0.29/0.55  (step @p28 :rule cong :premises (@p27) :args (@t16))
% 0.29/0.55  (step @p29 :rule trans :premises (@p28 @p23))
% 0.29/0.55  (step @p30 :rule eq_resolve :premises (@p8 @p29))
% 0.29/0.55  (step @p31 false :rule chain_m_resolution :premises (@p10 @p30) :args (false (@list false) (@list @t17)))
% 0.29/0.55  )
% 0.36/0.55  % SZS output end Proof
% 0.36/0.56  % cvc5 exiting
%------------------------------------------------------------------------------