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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWX089_1 : TPTP v9.2.1. Released v9.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.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 09:07:07 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  : SWX089_1 : TPTP v9.2.1. Released v9.1.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.33  % Computer : n019.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit : 300
% 0.15/0.33  % WCLimit  : 300
% 0.15/0.33  % DateTime : Tue Jun  2 22:56:04 EDT 2026
% 0.15/0.33  % CPUTime  : 
% 0.29/0.49  %----Proving TF0_ARI
% 0.29/0.55  --- Run --finite-model-find --decision=internal at 45...
% 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 tptp.symbol 0)
% 0.29/0.55  (declare-sort tptp.general 0)
% 0.29/0.55  (declare-const tptp.hp Bool)
% 0.29/0.55  (declare-const tptp.f__integer__ (-> Int tptp.general))
% 0.29/0.55  (declare-const tptp.f__symbolic__ (-> tptp.symbol tptp.general))
% 0.29/0.55  (declare-const tptp.c__supremum__ tptp.general)
% 0.29/0.55  (declare-const tptp.p__is_symbolic__ (-> tptp.general Bool))
% 0.29/0.55  (declare-const tptp.tq Bool)
% 0.29/0.55  (declare-const tptp.c__infimum__ tptp.general)
% 0.29/0.55  (declare-const tptp.p__is_integer__ (-> tptp.general Bool))
% 0.29/0.55  (declare-const tptp.hq Bool)
% 0.29/0.55  (declare-const tptp.tp Bool)
% 0.29/0.55  (declare-const tptp.p__less_equal__ (-> tptp.general tptp.general Bool))
% 0.29/0.55  (declare-const tptp.p__less__ (-> tptp.general tptp.general Bool))
% 0.29/0.55  (declare-const tptp.p__greater_equal__ (-> tptp.general tptp.general Bool))
% 0.29/0.55  (declare-const tptp.p__greater__ (-> tptp.general tptp.general Bool))
% 0.29/0.55  (define @t1 () (@var "N" Int))
% 0.29/0.55  (define @t2 () (tptp.f__integer__ @t1))
% 0.29/0.55  (define @t3 () (@var "X" tptp.general))
% 0.29/0.55  (define @t4 () (@list @t1))
% 0.29/0.55  (define @t5 () (tptp.p__is_integer__ @t3))
% 0.29/0.55  (define @t6 () (@list @t3))
% 0.29/0.55  (define @t7 () (@var "X2" tptp.symbol))
% 0.29/0.55  (define @t8 () (@var "X1" tptp.general))
% 0.29/0.55  (define @t9 () (@var "N2" Int))
% 0.29/0.55  (define @t10 () (@var "N1" Int))
% 0.29/0.55  (define @t11 () (tptp.f__integer__ @t9))
% 0.29/0.55  (define @t12 () (tptp.f__integer__ @t10))
% 0.29/0.55  (define @t13 () (@list @t10 @t9))
% 0.29/0.55  (define @t14 () (@var "S2" tptp.symbol))
% 0.29/0.55  (define @t15 () (@var "S1" tptp.symbol))
% 0.29/0.55  (define @t16 () (@var "X2" tptp.general))
% 0.29/0.55  (define @t17 () (= @t8 @t16))
% 0.29/0.55  (define @t18 () (tptp.p__less_equal__ @t16 @t8))
% 0.29/0.55  (define @t19 () (tptp.p__less_equal__ @t8 @t16))
% 0.29/0.55  (define @t20 () (@list @t8 @t16))
% 0.29/0.55  (define @t21 () (@var "X3" tptp.general))
% 0.29/0.55  (define @t22 () (not @t17))
% 0.29/0.55  (define @t23 () (@var "S" tptp.symbol))
% 0.29/0.55  (define @t24 () (tptp.f__symbolic__ @t23))
% 0.29/0.55  (define @t25 () (and (=> tptp.hp tptp.hq) (=> tptp.tp tptp.tq)))
% 0.29/0.55  (assume @p1 (forall @t6 (= @t5 (exists @t4 (= @t3 @t2)))))
% 0.29/0.55  (assume @p2 (forall (@list @t8) (= (tptp.p__is_symbolic__ @t8) (exists (@list @t7) (= @t8 (tptp.f__symbolic__ @t7))))))
% 0.29/0.55  (assume @p3 (forall @t6 (or (= @t3 tptp.c__infimum__) @t5 (tptp.p__is_symbolic__ @t3) (= @t3 tptp.c__supremum__))))
% 0.29/0.55  (assume @p4 (forall @t13 (= (= @t12 @t11) (= @t10 @t9))))
% 0.29/0.55  (assume @p5 (forall (@list @t15 @t14) (= (= (tptp.f__symbolic__ @t15) (tptp.f__symbolic__ @t14)) (= @t15 @t14))))
% 0.29/0.55  (assume @p6 (forall @t13 (= (tptp.p__less_equal__ @t12 @t11) (<= @t10 @t9))))
% 0.29/0.55  (assume @p7 (forall @t20 (=> (and @t19 @t18) @t17)))
% 0.29/0.55  (assume @p8 (forall (@list @t8 @t16 @t21) (=> (and @t19 (tptp.p__less_equal__ @t16 @t21)) (tptp.p__less_equal__ @t8 @t21))))
% 0.29/0.55  (assume @p9 (forall @t20 (or @t19 @t18)))
% 0.29/0.55  (assume @p10 (forall @t20 (= (tptp.p__less__ @t8 @t16) (and @t19 @t22))))
% 0.29/0.55  (assume @p11 (forall @t20 (= (tptp.p__greater_equal__ @t8 @t16) @t18)))
% 0.29/0.55  (assume @p12 (forall @t20 (= (tptp.p__greater__ @t8 @t16) (and @t18 @t22))))
% 0.29/0.55  (assume @p13 (forall @t4 (tptp.p__less__ tptp.c__infimum__ @t2)))
% 0.29/0.55  (assume @p14 (forall (@list @t1 @t23) (tptp.p__less__ @t2 @t24)))
% 0.29/0.55  (assume @p15 (forall (@list @t23) (tptp.p__less__ @t24 tptp.c__supremum__)))
% 0.29/0.55  (assume @p16 (=> tptp.hq tptp.tq))
% 0.29/0.55  (assume @p17 (=> tptp.hp tptp.tp))
% 0.29/0.55  (assume @p18 @t25)
% 0.29/0.55  (assume @p19 (not @t25))
% 0.29/0.55  (assume @p20 true)
% 0.29/0.55  (step @p21 false :rule contra :premises (@p18 @p19))
% 0.29/0.55  )
% 0.29/0.55  % SZS output end Proof
% 0.29/0.55  % cvc5 exiting
%------------------------------------------------------------------------------