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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SET899+1 : TPTP v9.2.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 08:48:56 AM UTC 2026

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

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET899+1 : TPTP v9.2.1. Released v3.2.0.
% 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 : n009.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 16:16:44 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.29/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.29/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.29/0.55  % SZS status Theorem
% 0.29/0.55  % SZS output start Proof
% 0.29/0.55  (
% 0.29/0.55  (declare-sort $$unsorted 0)
% 0.29/0.55  (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted))
% 0.29/0.55  (declare-const tptp.singleton (-> $$unsorted $$unsorted))
% 0.29/0.55  (declare-const tptp.empty (-> $$unsorted Bool))
% 0.29/0.55  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 0.29/0.55  (declare-const tptp.subset (-> $$unsorted $$unsorted Bool))
% 0.29/0.55  (define @t1 () (@var "A" $$unsorted))
% 0.29/0.55  (define @t2 () (@var "B" $$unsorted))
% 0.29/0.55  (define @t3 () (@list @t1 @t2))
% 0.29/0.55  (define @t4 () (tptp.empty @t1))
% 0.29/0.55  (define @t5 () (@list @t1))
% 0.29/0.55  (define @t6 () (@var "C" $$unsorted))
% 0.29/0.55  (define @t7 () (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t6))))
% 0.29/0.55  (define @t8 () (tptp.in @t6 @t1))
% 0.29/0.55  (define @t9 () (or @t8 @t7))
% 0.29/0.55  (define @t10 () (tptp.subset @t1 @t2))
% 0.29/0.55  (define @t11 () (@list @t1 @t2 @t6))
% 0.29/0.55  (define @t12 () (forall @t11 (=> @t10 @t9)))
% 0.29/0.55  (define @t13 () (not @t12))
% 0.29/0.55  (define @t14 () (not @t10))
% 0.29/0.55  (define @t15 () (or @t14 @t8 @t7))
% 0.29/0.55  (assume @p1 (forall @t3 (tptp.subset @t1 @t1)))
% 0.29/0.55  (assume @p2 (forall @t3 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1)))))
% 0.29/0.55  (assume @p3 (exists @t5 @t4))
% 0.29/0.55  (assume @p4 (exists @t5 (not @t4)))
% 0.29/0.55  (assume @p5 @t13)
% 0.29/0.55  (assume @p6 @t12)
% 0.29/0.55  (assume @p7 true)
% 0.29/0.55  (step @p8 :rule aci_norm :args ((= (or @t14 @t9) @t15)))
% 0.29/0.55  (step @p9 :rule bool-impl-elim :args (@t10 @t9))
% 0.29/0.55  (step @p10 :rule trans :premises (@p9 @p8))
% 0.29/0.55  (step @p11 :rule cong :premises (@p10) :args (@t12))
% 0.29/0.55  (step @p12 :rule cong :premises (@p11) :args (@t13))
% 0.29/0.55  (step @p13 :rule eq_resolve :premises (@p5 @p12))
% 0.29/0.55  (step @p14 :rule eq_resolve :premises (@p6 @p11))
% 0.29/0.55  (step @p15 false :rule chain_m_resolution :premises (@p14 @p13) :args (false (@list true) (@list (forall @t11 @t15))))
% 0.29/0.55  )
% 0.29/0.55  % SZS output end Proof
% 0.29/0.55  % cvc5 exiting
%------------------------------------------------------------------------------