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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : DAT067_1 : TPTP v9.2.1. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n024.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 08:14:27 AM UTC 2026

% Result   : Theorem 0.15s 0.35s
% Output   : Proof 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : DAT067_1 : TPTP v9.2.1. Released v5.5.0.
% 0.00/0.06  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.24  % Computer : n024.cluster.edu
% 0.07/0.24  % Model    : x86_64 x86_64
% 0.07/0.24  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.24  % Memory   : 8042.1875MB
% 0.07/0.24  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.24  % CPULimit : 300
% 0.07/0.24  % WCLimit  : 300
% 0.07/0.24  % DateTime : Mon Jun  1 17:27:30 EDT 2026
% 0.07/0.25  % CPUTime  : 
% 0.07/0.32  %----Proving TF0_ARI
% 0.15/0.35  --- Run --finite-model-find --decision=internal at 45...
% 0.15/0.35  % SZS status Theorem
% 0.15/0.35  % SZS output start Proof
% 0.15/0.35  (
% 0.15/0.35  (declare-sort tptp.heap 0)
% 0.15/0.35  (declare-const tptp.lsls (-> tptp.heap tptp.heap Bool))
% 0.15/0.35  (declare-const tptp.toop (-> tptp.heap Int))
% 0.15/0.35  (declare-const tptp.get (-> tptp.heap tptp.heap))
% 0.15/0.35  (declare-const tptp.length (-> tptp.heap Int))
% 0.15/0.35  (declare-const tptp.app (-> tptp.heap Int tptp.heap))
% 0.15/0.35  (declare-const tptp.sel (-> tptp.heap Int Int))
% 0.15/0.35  (declare-const tptp.empty tptp.heap)
% 0.15/0.35  (define @t1 () (@var "M" Int))
% 0.15/0.35  (define @t2 () (@var "N" Int))
% 0.15/0.35  (define @t3 () (@var "H" tptp.heap))
% 0.15/0.35  (define @t4 () (tptp.app @t3 @t2))
% 0.15/0.35  (define @t5 () (tptp.sel @t4 @t1))
% 0.15/0.35  (define @t6 () (+ 1 (tptp.length @t3)))
% 0.15/0.35  (define @t7 () (= @t1 @t6))
% 0.15/0.35  (define @t8 () (= @t5 (tptp.sel @t3 @t1)))
% 0.15/0.35  (define @t9 () (not @t7))
% 0.15/0.35  (define @t10 () (@list @t2 @t3 @t1))
% 0.15/0.35  (define @t11 () (forall @t10 (=> @t9 @t8)))
% 0.15/0.35  (define @t12 () (@list @t2 @t3))
% 0.15/0.35  (define @t13 () (@list @t3 @t2))
% 0.15/0.35  (define @t14 () (@var "N0" Int))
% 0.15/0.35  (define @t15 () (@var "H0" tptp.heap))
% 0.15/0.35  (define @t16 () (@list @t3))
% 0.15/0.35  (define @t17 () (@var "H1" tptp.heap))
% 0.15/0.35  (define @t18 () (or @t8 @t7))
% 0.15/0.35  (define @t19 () (@list @t2 @t1 @t3))
% 0.15/0.35  (define @t20 () (forall @t19 @t18))
% 0.15/0.35  (define @t21 () (or @t7 @t8))
% 0.15/0.35  (define @t22 () (forall @t19 @t21))
% 0.15/0.35  (define @t23 () (forall @t10 @t21))
% 0.15/0.35  (define @t24 () (@list false))
% 0.15/0.35  (assume @p1 (forall (@list @t1) (= (tptp.sel tptp.empty @t1) 0)))
% 0.15/0.35  (assume @p2 (forall (@list @t3 @t1 @t2) (=> @t7 (= @t5 @t2))))
% 0.15/0.35  (assume @p3 @t11)
% 0.15/0.35  (assume @p4 (forall @t12 (= (tptp.get @t4) @t3)))
% 0.15/0.35  (assume @p5 (forall @t13 (= (tptp.toop @t4) @t2)))
% 0.15/0.35  (assume @p6 (forall (@list @t3 @t15 @t2 @t14) (= (= @t4 (tptp.app @t15 @t14)) (and (= @t3 @t15) (= @t2 @t14)))))
% 0.15/0.35  (assume @p7 (forall @t13 (not (= tptp.empty @t4))))
% 0.15/0.35  (assume @p8 (forall @t16 (or (= @t3 tptp.empty) (= @t3 (tptp.app (tptp.get @t3) (tptp.toop @t3))))))
% 0.15/0.35  (assume @p9 (= (tptp.length tptp.empty) 0))
% 0.15/0.35  (assume @p10 (forall @t12 (= (tptp.length @t4) @t6)))
% 0.15/0.35  (assume @p11 (forall @t16 (not (tptp.lsls @t3 @t3))))
% 0.15/0.35  (assume @p12 (forall (@list @t15 @t3 @t17) (=> (and (tptp.lsls @t3 @t15) (tptp.lsls @t15 @t17)) (tptp.lsls @t3 @t17))))
% 0.15/0.35  (assume @p13 (forall @t16 (not (tptp.lsls @t3 tptp.empty))))
% 0.15/0.35  (assume @p14 (forall (@list @t2 @t15 @t3) (= (tptp.lsls @t15 @t4) (or (= @t15 @t3) (tptp.lsls @t15 @t3)))))
% 0.15/0.35  (assume @p15 (not @t20))
% 0.15/0.35  (assume @p16 true)
% 0.15/0.35  (step @p17 :rule refl :args (@t8))
% 0.15/0.35  (step @p18 :rule bool-double-not-elim :args (@t7))
% 0.15/0.35  (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or (not @t9) @t8)))
% 0.15/0.35  (step @p20 :rule bool-impl-elim :args (@t9 @t8))
% 0.15/0.35  (step @p21 :rule trans :premises (@p20 @p19))
% 0.15/0.35  (step @p22 :rule cong :premises (@p21) :args (@t11))
% 0.15/0.35  (step @p23 :rule eq_resolve :premises (@p3 @p22))
% 0.15/0.35  (step @p24 :rule aci_norm :args ((= @t18 @t21)))
% 0.15/0.35  (step @p25 :rule cong :premises (@p24) :args (@t20))
% 0.15/0.35  (step @p26 :rule symm :premises (@p25))
% 0.15/0.35  (step @p27 :rule true_intro :premises (@p26))
% 0.15/0.35  (step @p28 :rule eq-symm :args (@t20 @t22))
% 0.15/0.35  (step @p29 :rule trans :premises (@p28 @p27))
% 0.15/0.35  (step @p30 :rule cong :premises (@p26 @p25) :args ((= @t22 @t20)))
% 0.15/0.35  (step @p31 :rule trans :premises (@p30 @p29))
% 0.15/0.35  (step @p32 :rule true_elim :premises (@p31))
% 0.15/0.35  (step @p33 :rule quant_var_reordering :args ((= @t23 @t22)))
% 0.15/0.35  (step @p34 :rule alpha_equiv :args (@t23 (@list @t1 @t3 @t2) (@list (@var "BOUND_VARIABLE_7662" Int) (@var "BOUND_VARIABLE_7663" tptp.heap) (@var "BOUND_VARIABLE_7664" Int))))
% 0.15/0.35  (step @p35 :rule symm :premises (@p34))
% 0.15/0.35  (step @p36 :rule trans :premises (@p34 @p35 @p33 @p32))
% 0.15/0.35  (step @p37 :rule symm :premises (@p36))
% 0.15/0.35  (step @p38 :rule equiv_elim2 :premises (@p37))
% 0.15/0.35  (step @p39 :rule chain_m_resolution :premises (@p38 @p23) :args (@t20 @t24 (@list @t23)))
% 0.15/0.35  (step @p40 false :rule chain_m_resolution :premises (@p15 @p39) :args (false @t24 (@list @t20)))
% 0.15/0.35  )
% 0.15/0.35  % SZS output end Proof
% 0.15/0.35  % cvc5 exiting
%------------------------------------------------------------------------------