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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU161+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 : n011.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 08:50:47 AM UTC 2026

% Result   : Theorem 0.34s 0.57s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SEU161+1 : TPTP v9.2.1. Released v3.3.0.
% 0.11/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n011.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 16:32:50 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.34/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.34/0.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.34/0.57  % SZS status Theorem
% 0.34/0.57  % SZS output start Proof
% 0.34/0.57  (
% 0.34/0.57  (declare-sort $$unsorted 0)
% 0.34/0.57  (declare-const tptp.singleton (-> $$unsorted $$unsorted))
% 0.34/0.57  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 0.34/0.57  (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted))
% 0.34/0.57  (define @t1 () (@var "A" $$unsorted))
% 0.34/0.57  (define @t2 () (@var "B" $$unsorted))
% 0.34/0.57  (define @t3 () (@list @t1 @t2))
% 0.34/0.57  (define @t4 () (tptp.in @t1 @t2))
% 0.34/0.57  (define @t5 () (tptp.set_union2 (tptp.singleton @t1) @t2))
% 0.34/0.57  (define @t6 () (=> @t4 (= @t5 @t2)))
% 0.34/0.57  (define @t7 () (forall @t3 @t6))
% 0.34/0.57  (define @t8 () (not @t7))
% 0.34/0.57  (define @t9 () (= @t2 @t5))
% 0.34/0.57  (assume @p1 (forall @t3 (= (tptp.set_union2 @t1 @t2) (tptp.set_union2 @t2 @t1))))
% 0.34/0.57  (assume @p2 (forall @t3 (= (tptp.set_union2 @t1 @t1) @t1)))
% 0.34/0.57  (assume @p3 (forall @t3 (=> @t4 (not (tptp.in @t2 @t1)))))
% 0.34/0.57  (assume @p4 true)
% 0.34/0.57  (assume @p5 @t8)
% 0.34/0.57  (assume @p6 @t7)
% 0.34/0.57  (step @p7 :rule bool-impl-elim :args (@t4 @t9))
% 0.34/0.57  (step @p8 :rule cong :premises (@p7) :args ((forall @t3 (=> @t4 @t9))))
% 0.34/0.57  (step @p9 :rule eq-symm :args (@t5 @t2))
% 0.34/0.57  (step @p10 :rule refl :args (@t4))
% 0.34/0.57  (step @p11 :rule cong :premises (@p10 @p9) :args (@t6))
% 0.34/0.57  (step @p12 :rule cong :premises (@p11) :args (@t7))
% 0.34/0.57  (step @p13 :rule trans :premises (@p12 @p8))
% 0.34/0.57  (step @p14 :rule cong :premises (@p13) :args (@t8))
% 0.34/0.57  (step @p15 :rule eq_resolve :premises (@p5 @p14))
% 0.34/0.57  (step @p16 :rule eq_resolve :premises (@p6 @p13))
% 0.34/0.57  (step @p17 false :rule chain_m_resolution :premises (@p16 @p15) :args (false (@list true) (@list (forall @t3 (or (not @t4) @t9)))))
% 0.34/0.57  )
% 0.34/0.57  % SZS output end Proof
% 0.34/0.57  % cvc5 exiting
%------------------------------------------------------------------------------