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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SET927+1 : TPTP v9.2.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n016.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 08:49:00 AM UTC 2026

% Result   : Theorem 0.30s 0.55s
% Output   : Proof 0.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET927+1 : TPTP v9.2.1. Released v3.2.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.35  % Computer : n016.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Tue Jun  2 16:18:39 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.30/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.30/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.30/0.55  % SZS status Theorem
% 0.30/0.55  % SZS output start Proof
% 0.30/0.55  (
% 0.30/0.55  (declare-sort $$unsorted 0)
% 0.30/0.55  (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted))
% 0.30/0.55  (declare-const tptp.singleton (-> $$unsorted $$unsorted))
% 0.30/0.55  (declare-const tptp.empty (-> $$unsorted Bool))
% 0.30/0.55  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 0.30/0.55  (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted))
% 0.30/0.55  (define @t1 () (@var "A" $$unsorted))
% 0.30/0.55  (define @t2 () (@var "B" $$unsorted))
% 0.30/0.55  (define @t3 () (tptp.unordered_pair @t1 @t2))
% 0.30/0.55  (define @t4 () (@list @t1 @t2))
% 0.30/0.55  (define @t5 () (tptp.empty @t1))
% 0.30/0.55  (define @t6 () (@list @t1))
% 0.30/0.55  (define @t7 () (@var "C" $$unsorted))
% 0.30/0.55  (define @t8 () (forall (@list @t1 @t2 @t7) (= (= (tptp.set_difference @t3 @t7) (tptp.singleton @t1)) (and (not (tptp.in @t1 @t7)) (or (tptp.in @t2 @t7) (= @t1 @t2))))))
% 0.30/0.55  (assume @p1 (forall @t4 (= @t3 (tptp.unordered_pair @t2 @t1))))
% 0.30/0.55  (assume @p2 (forall @t4 (=> (tptp.in @t1 @t2) (not (tptp.in @t2 @t1)))))
% 0.30/0.55  (assume @p3 (exists @t6 @t5))
% 0.30/0.55  (assume @p4 (exists @t6 (not @t5)))
% 0.30/0.55  (assume @p5 (not @t8))
% 0.30/0.55  (assume @p6 @t8)
% 0.30/0.55  (assume @p7 true)
% 0.30/0.55  (step @p8 false :rule chain_m_resolution :premises (@p6 @p5) :args (false (@list true) (@list @t8)))
% 0.30/0.55  )
% 0.30/0.55  % SZS output end Proof
% 0.30/0.56  % cvc5 exiting
%------------------------------------------------------------------------------