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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWW409-1 : TPTP v9.2.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n022.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 09:04:53 AM UTC 2026

% Result   : Unsatisfiable 0.38s 0.58s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWW409-1 : TPTP v9.2.1. Released v5.2.0.
% 0.13/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.35  % Computer : n022.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Tue Jun  2 21:56:38 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.27/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.27/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.38/0.58  % SZS status Unsatisfiable
% 0.38/0.58  % SZS output start Proof
% 0.38/0.58  (
% 0.38/0.58  (declare-sort $$unsorted 0)
% 0.38/0.58  (declare-const tptp.emp $$unsorted)
% 0.38/0.58  (declare-const tptp.x3 $$unsorted)
% 0.38/0.58  (declare-const tptp.x2 $$unsorted)
% 0.38/0.58  (declare-const tptp.heap (-> $$unsorted Bool))
% 0.38/0.58  (declare-const tptp.next (-> $$unsorted $$unsorted $$unsorted))
% 0.38/0.58  (declare-const tptp.x1 $$unsorted)
% 0.38/0.58  (declare-const tptp.lseg (-> $$unsorted $$unsorted $$unsorted))
% 0.38/0.58  (declare-const tptp.nil $$unsorted)
% 0.38/0.58  (declare-const tptp.sep (-> $$unsorted $$unsorted $$unsorted))
% 0.38/0.58  (define @t1 () (@var "Sigma" $$unsorted))
% 0.38/0.58  (define @t2 () (@var "S" $$unsorted))
% 0.38/0.58  (define @t3 () (@var "T" $$unsorted))
% 0.38/0.58  (define @t4 () (@var "X" $$unsorted))
% 0.38/0.58  (define @t5 () (@var "Y" $$unsorted))
% 0.38/0.58  (define @t6 () (@list @t5 @t1))
% 0.38/0.58  (define @t7 () (@var "Z" $$unsorted))
% 0.38/0.58  (define @t8 () (tptp.next @t4 @t5))
% 0.38/0.58  (define @t9 () (@list @t4 @t5 @t7 @t1))
% 0.38/0.58  (define @t10 () (= @t4 @t7))
% 0.38/0.58  (define @t11 () (tptp.lseg @t4 @t7))
% 0.38/0.58  (define @t12 () (tptp.sep @t11 @t1))
% 0.38/0.58  (define @t13 () (= @t4 @t5))
% 0.38/0.58  (define @t14 () (tptp.lseg @t4 @t5))
% 0.38/0.58  (define @t15 () (tptp.lseg @t5 @t7))
% 0.38/0.58  (define @t16 () (@var "W" $$unsorted))
% 0.38/0.58  (define @t17 () (tptp.sep (tptp.next @t7 @t16) @t1))
% 0.38/0.58  (define @t18 () (@list @t4 @t5 @t7 @t16 @t1))
% 0.38/0.58  (define @t19 () (tptp.sep (tptp.lseg @t7 @t16) @t1))
% 0.38/0.58  (define @t20 () (= tptp.x1 tptp.x3))
% 0.38/0.58  (define @t21 () (tptp.next tptp.x1 tptp.x3))
% 0.38/0.58  (define @t22 () (tptp.sep @t21 tptp.emp))
% 0.38/0.58  (define @t23 () (tptp.lseg tptp.x3 tptp.nil))
% 0.38/0.58  (define @t24 () (tptp.lseg tptp.x2 tptp.x1))
% 0.38/0.58  (define @t25 () (tptp.heap (tptp.sep (tptp.lseg tptp.x2 tptp.nil) tptp.emp)))
% 0.38/0.58  (define @t26 () (tptp.sep @t24 tptp.emp))
% 0.38/0.58  (define @t27 () (tptp.heap (tptp.sep @t21 (tptp.sep @t23 @t26))))
% 0.38/0.58  (define @t28 () (tptp.lseg tptp.x1 tptp.nil))
% 0.38/0.58  (define @t29 () (tptp.heap (tptp.sep @t28 @t26)))
% 0.38/0.58  (define @t30 () (not @t27))
% 0.38/0.58  (define @t31 () (or @t30 @t20 @t29))
% 0.38/0.58  (define @t32 () (tptp.heap (tptp.sep @t24 (tptp.sep @t28 tptp.emp))))
% 0.38/0.58  (define @t33 () (not @t32))
% 0.38/0.58  (define @t34 () (or @t33 @t25))
% 0.38/0.58  (assume @p1 (forall (@list @t2 @t3 @t1) (= (tptp.sep @t2 (tptp.sep @t3 @t1)) (tptp.sep @t3 (tptp.sep @t2 @t1)))))
% 0.38/0.58  (assume @p2 (forall (@list @t4 @t1) (= (tptp.sep (tptp.lseg @t4 @t4) @t1) @t1)))
% 0.38/0.58  (assume @p3 (forall @t6 (not (tptp.heap (tptp.sep (tptp.next tptp.nil @t5) @t1)))))
% 0.38/0.58  (assume @p4 (forall @t6 (or (not (tptp.heap (tptp.sep (tptp.lseg tptp.nil @t5) @t1))) (= @t5 tptp.nil))))
% 0.38/0.58  (assume @p5 (forall @t9 (not (tptp.heap (tptp.sep @t8 (tptp.sep (tptp.next @t4 @t7) @t1))))))
% 0.38/0.58  (assume @p6 (forall @t9 (or (not (tptp.heap (tptp.sep @t8 @t12))) @t10)))
% 0.38/0.58  (assume @p7 (forall @t9 (or (not (tptp.heap (tptp.sep @t14 @t12))) @t13 @t10)))
% 0.38/0.58  (assume @p8 (forall @t9 (or (not (tptp.heap (tptp.sep @t8 (tptp.sep @t15 @t1)))) @t13 (tptp.heap @t12))))
% 0.38/0.58  (assume @p9 (forall (@list @t4 @t5 @t1) (or (not (tptp.heap (tptp.sep @t14 (tptp.sep (tptp.lseg @t5 tptp.nil) @t1)))) (tptp.heap (tptp.sep (tptp.lseg @t4 tptp.nil) @t1)))))
% 0.38/0.58  (assume @p10 (forall @t18 (or (not (tptp.heap (tptp.sep @t14 (tptp.sep @t15 @t17)))) (tptp.heap (tptp.sep @t11 @t17)))))
% 0.38/0.58  (assume @p11 (forall @t18 (or (not (tptp.heap (tptp.sep @t14 (tptp.sep @t15 @t19)))) (= @t7 @t16) (tptp.heap (tptp.sep @t11 @t19)))))
% 0.38/0.58  (assume @p12 (not (= tptp.nil tptp.x1)))
% 0.38/0.58  (assume @p13 (not (= tptp.nil tptp.x2)))
% 0.38/0.58  (assume @p14 (not @t20))
% 0.38/0.58  (assume @p15 (not (= tptp.x2 tptp.x3)))
% 0.38/0.58  (assume @p16 (tptp.heap (tptp.sep @t24 (tptp.sep @t23 @t22))))
% 0.38/0.58  (assume @p17 (not @t25))
% 0.38/0.58  (step @p18 :rule evaluate :args ((= false true)))
% 0.38/0.58  (step @p19 :rule instantiate :premises (@p8) :args ((@list tptp.x1 tptp.x3 tptp.nil @t26)))
% 0.38/0.58  (step @p20 :rule true_intro :premises (@p16))
% 0.38/0.58  (step @p21 :rule instantiate :premises (@p1) :args ((@list @t24 @t23 @t22)))
% 0.38/0.58  (step @p22 :rule symm :premises (@p21))
% 0.38/0.58  (step @p23 :rule instantiate :premises (@p1) :args ((@list @t24 @t21 tptp.emp)))
% 0.38/0.58  (step @p24 :rule symm :premises (@p23))
% 0.38/0.58  (step @p25 :rule refl :args (@t23))
% 0.38/0.58  (step @p26 :rule cong :premises (@p25 @p24) :args ((tptp.sep @t23 (tptp.sep @t21 @t26))))
% 0.38/0.58  (step @p27 :rule instantiate :premises (@p1) :args ((@list @t23 @t21 @t26)))
% 0.38/0.58  (step @p28 :rule symm :premises (@p27))
% 0.38/0.58  (step @p29 :rule trans :premises (@p28 @p26 @p22))
% 0.38/0.58  (step @p30 :rule cong :premises (@p29) :args (@t27))
% 0.38/0.58  (step @p31 :rule trans :premises (@p30 @p20))
% 0.38/0.58  (step @p32 :rule true_elim :premises (@p31))
% 0.38/0.58  (step @p33 :rule cnf_or_pos :args (@t31))
% 0.38/0.58  (step @p34 :rule reordering :premises (@p33) :args ((or @t20 @t30 @t29 (not @t31))))
% 0.38/0.58  (step @p35 :rule chain_m_resolution :premises (@p34 @p14 @p32 @p19) :args (@t29 (@list true false false) (@list @t20 @t27 @t31)))
% 0.38/0.58  (step @p36 :rule true_intro :premises (@p35))
% 0.38/0.58  (step @p37 :rule instantiate :premises (@p1) :args ((@list @t24 @t28 tptp.emp)))
% 0.38/0.58  (step @p38 :rule cong :premises (@p37) :args (@t32))
% 0.38/0.58  (step @p39 :rule instantiate :premises (@p9) :args ((@list tptp.x2 tptp.x1 tptp.emp)))
% 0.38/0.58  (step @p40 :rule cnf_or_pos :args (@t34))
% 0.38/0.58  (step @p41 :rule reordering :premises (@p40) :args ((or @t25 @t33 (not @t34))))
% 0.38/0.58  (step @p42 :rule chain_m_resolution :premises (@p41 @p17 @p39) :args (@t33 (@list true false) (@list @t25 @t34)))
% 0.38/0.58  (step @p43 :rule false_intro :premises (@p42))
% 0.38/0.58  (step @p44 :rule symm :premises (@p43))
% 0.38/0.58  (step @p45 :rule trans :premises (@p44 @p38 @p36))
% 0.38/0.58  (step @p46 false :rule eq_resolve :premises (@p45 @p18))
% 0.38/0.58  )
% 0.38/0.58  % SZS output end Proof
% 0.38/0.58  % cvc5 exiting
%------------------------------------------------------------------------------