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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU165+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:50:48 AM UTC 2026

% Result   : Theorem 0.37s 0.56s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SEU165+1 : TPTP v9.2.1. Released v3.3.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.35  % Computer : n007.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Tue Jun  2 16:32:41 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.28/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.37/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.37/0.56  % SZS status Theorem
% 0.37/0.56  % SZS output start Proof
% 0.37/0.56  (
% 0.37/0.56  (declare-sort $$unsorted 0)
% 0.37/0.56  (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.56  (declare-const tptp.singleton (-> $$unsorted $$unsorted))
% 0.37/0.56  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 0.37/0.56  (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.56  (declare-const tptp.empty (-> $$unsorted Bool))
% 0.37/0.56  (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.56  (define @t1 () (@var "A" $$unsorted))
% 0.37/0.56  (define @t2 () (@var "B" $$unsorted))
% 0.37/0.56  (define @t3 () (tptp.unordered_pair @t1 @t2))
% 0.37/0.56  (define @t4 () (@list @t1 @t2))
% 0.37/0.56  (define @t5 () (tptp.empty @t1))
% 0.37/0.56  (define @t6 () (@list @t1))
% 0.37/0.56  (define @t7 () (tptp.ordered_pair @t1 @t2))
% 0.37/0.56  (define @t8 () (@var "D" $$unsorted))
% 0.37/0.56  (define @t9 () (@var "C" $$unsorted))
% 0.37/0.56  (define @t10 () (forall (@list @t1 @t2 @t9 @t8) (= (tptp.in @t7 (tptp.cartesian_product2 @t9 @t8)) (and (tptp.in @t1 @t9) (tptp.in @t2 @t8)))))
% 0.37/0.56  (assume @p1 (forall @t4 (= @t3 (tptp.unordered_pair @t2 @t1))))
% 0.37/0.56  (assume @p2 true)
% 0.37/0.56  (assume @p3 (exists @t6 @t5))
% 0.37/0.56  (assume @p4 (exists @t6 (not @t5)))
% 0.37/0.56  (assume @p5 (forall @t4 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1)))))
% 0.37/0.56  (assume @p6 (forall @t4 (not (tptp.empty @t7))))
% 0.37/0.56  (assume @p7 (forall @t4 (= @t7 (tptp.unordered_pair @t3 (tptp.singleton @t1)))))
% 0.37/0.56  (assume @p8 (not @t10))
% 0.37/0.56  (assume @p9 @t10)
% 0.37/0.56  (step @p10 false :rule chain_m_resolution :premises (@p9 @p8) :args (false (@list true) (@list @t10)))
% 0.37/0.56  )
% 0.37/0.56  % SZS output end Proof
% 0.37/0.56  % cvc5 exiting
%------------------------------------------------------------------------------