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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU134+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 08:50:39 AM UTC 2026

% Result   : Theorem 0.37s 0.57s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SEU134+1 : TPTP v9.2.1. Released v3.3.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n015.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Tue Jun  2 16:31:34 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.27/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.37/0.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.37/0.57  % SZS status Theorem
% 0.37/0.57  % SZS output start Proof
% 0.37/0.57  (
% 0.37/0.57  (declare-sort $$unsorted 0)
% 0.37/0.57  (declare-const tptp.empty_set $$unsorted)
% 0.37/0.57  (declare-const tptp.subset (-> $$unsorted $$unsorted Bool))
% 0.37/0.57  (declare-const tptp.empty (-> $$unsorted Bool))
% 0.37/0.57  (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted))
% 0.37/0.57  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 0.37/0.57  (define @t1 () (@var "A" $$unsorted))
% 0.37/0.57  (define @t2 () (@var "B" $$unsorted))
% 0.37/0.57  (define @t3 () (tptp.in @t1 @t2))
% 0.37/0.57  (define @t4 () (@list @t1 @t2))
% 0.37/0.57  (define @t5 () (tptp.empty @t1))
% 0.37/0.57  (define @t6 () (@list @t1))
% 0.37/0.57  (define @t7 () (tptp.empty @t2))
% 0.37/0.57  (define @t8 () (tptp.subset @t1 @t2))
% 0.37/0.57  (define @t9 () (tptp.set_difference @t1 @t2))
% 0.37/0.57  (define @t10 () (= (= @t9 tptp.empty_set) @t8))
% 0.37/0.57  (define @t11 () (forall @t4 @t10))
% 0.37/0.57  (define @t12 () (not @t11))
% 0.37/0.57  (define @t13 () (= tptp.empty_set @t9))
% 0.37/0.57  (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1)))))
% 0.37/0.57  (assume @p2 (exists @t6 @t5))
% 0.37/0.57  (assume @p3 (exists @t6 (not @t5)))
% 0.37/0.57  (assume @p4 (forall @t4 (not (and @t3 @t7))))
% 0.37/0.57  (assume @p5 (forall @t4 (not (and @t5 (not (= @t1 @t2)) @t7))))
% 0.37/0.57  (assume @p6 (forall @t4 (tptp.subset @t1 @t1)))
% 0.37/0.57  (assume @p7 true)
% 0.37/0.57  (assume @p8 (tptp.empty tptp.empty_set))
% 0.37/0.57  (assume @p9 (forall @t6 (= (tptp.set_difference @t1 tptp.empty_set) @t1)))
% 0.37/0.57  (assume @p10 (forall @t6 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set)))
% 0.37/0.57  (assume @p11 (forall @t6 (=> @t5 (= @t1 tptp.empty_set))))
% 0.37/0.57  (assume @p12 @t12)
% 0.37/0.57  (assume @p13 @t11)
% 0.37/0.57  (step @p14 :rule eq-symm :args (@t13 @t8))
% 0.37/0.57  (step @p15 :rule refl :args (@t8))
% 0.37/0.57  (step @p16 :rule eq-symm :args (@t9 tptp.empty_set))
% 0.37/0.57  (step @p17 :rule cong :premises (@p16 @p15) :args (@t10))
% 0.37/0.57  (step @p18 :rule trans :premises (@p17 @p14))
% 0.37/0.57  (step @p19 :rule cong :premises (@p18) :args (@t11))
% 0.37/0.57  (step @p20 :rule cong :premises (@p19) :args (@t12))
% 0.37/0.57  (step @p21 :rule eq_resolve :premises (@p12 @p20))
% 0.37/0.57  (step @p22 :rule eq_resolve :premises (@p13 @p19))
% 0.37/0.57  (step @p23 false :rule chain_m_resolution :premises (@p22 @p21) :args (false (@list true) (@list (forall @t4 (= @t8 @t13)))))
% 0.37/0.57  )
% 0.37/0.57  % SZS output end Proof
% 0.37/0.57  % cvc5 exiting
%------------------------------------------------------------------------------