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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWW407-1 : TPTP v9.2.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n017.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 09:04:52 AM UTC 2026

% Result   : Unsatisfiable 33.59s 33.96s
% Output   : Proof 33.59s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWW407-1 : TPTP v9.2.1. Released v5.2.0.
% 0.11/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.34  % Computer : n017.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Tue Jun  2 21:55:01 EDT 2026
% 0.15/0.35  % CPUTime  : 
% 0.29/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.29/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.32/15.59  --- Run --no-e-matching --full-saturate-quant at 6...
% 21.42/21.61  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 27.42/27.63  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 33.54/33.73  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 33.59/33.96  % SZS status Unsatisfiable
% 33.59/33.96  % SZS output start Proof
% 33.59/33.96  (
% 33.59/33.96  (declare-sort $$unsorted 0)
% 33.59/33.96  (declare-const tptp.x4 $$unsorted)
% 33.59/33.96  (declare-const tptp.x3 $$unsorted)
% 33.59/33.96  (declare-const tptp.x2 $$unsorted)
% 33.59/33.96  (declare-const tptp.heap (-> $$unsorted Bool))
% 33.59/33.96  (declare-const tptp.next (-> $$unsorted $$unsorted $$unsorted))
% 33.59/33.96  (declare-const tptp.x1 $$unsorted)
% 33.59/33.96  (declare-const tptp.lseg (-> $$unsorted $$unsorted $$unsorted))
% 33.59/33.96  (declare-const tptp.emp $$unsorted)
% 33.59/33.96  (declare-const tptp.nil $$unsorted)
% 33.59/33.96  (declare-const tptp.sep (-> $$unsorted $$unsorted $$unsorted))
% 33.59/33.96  (define @t1 () (@var "Sigma" $$unsorted))
% 33.59/33.96  (define @t2 () (@var "S" $$unsorted))
% 33.59/33.96  (define @t3 () (@var "T" $$unsorted))
% 33.59/33.96  (define @t4 () (@var "X" $$unsorted))
% 33.59/33.96  (define @t5 () (tptp.sep (tptp.lseg @t4 @t4) @t1))
% 33.59/33.96  (define @t6 () (forall (@list @t4 @t1) (= @t5 @t1)))
% 33.59/33.96  (define @t7 () (@var "Y" $$unsorted))
% 33.59/33.96  (define @t8 () (@list @t7 @t1))
% 33.59/33.96  (define @t9 () (@var "Z" $$unsorted))
% 33.59/33.96  (define @t10 () (tptp.next @t4 @t7))
% 33.59/33.96  (define @t11 () (@list @t4 @t7 @t9 @t1))
% 33.59/33.96  (define @t12 () (= @t4 @t9))
% 33.59/33.96  (define @t13 () (tptp.lseg @t4 @t9))
% 33.59/33.96  (define @t14 () (tptp.sep @t13 @t1))
% 33.59/33.96  (define @t15 () (= @t4 @t7))
% 33.59/33.96  (define @t16 () (tptp.lseg @t4 @t7))
% 33.59/33.96  (define @t17 () (tptp.lseg @t7 @t9))
% 33.59/33.96  (define @t18 () (@var "W" $$unsorted))
% 33.59/33.96  (define @t19 () (tptp.sep (tptp.next @t9 @t18) @t1))
% 33.59/33.96  (define @t20 () (@list @t4 @t7 @t9 @t18 @t1))
% 33.59/33.96  (define @t21 () (tptp.sep (tptp.lseg @t9 @t18) @t1))
% 33.59/33.96  (define @t22 () (= tptp.x1 tptp.x2))
% 33.59/33.96  (define @t23 () (tptp.next tptp.x2 tptp.x4))
% 33.59/33.96  (define @t24 () (tptp.sep @t23 tptp.emp))
% 33.59/33.96  (define @t25 () (tptp.lseg tptp.x4 tptp.nil))
% 33.59/33.96  (define @t26 () (tptp.lseg tptp.x3 tptp.x1))
% 33.59/33.96  (define @t27 () (tptp.next tptp.x1 tptp.x2))
% 33.59/33.96  (define @t28 () (tptp.lseg tptp.x3 tptp.x2))
% 33.59/33.96  (define @t29 () (tptp.sep @t25 tptp.emp))
% 33.59/33.96  (define @t30 () (tptp.sep @t23 @t29))
% 33.59/33.96  (define @t31 () (tptp.sep @t26 @t30))
% 33.59/33.96  (define @t32 () (tptp.lseg tptp.x2 tptp.x2))
% 33.59/33.96  (define @t33 () (tptp.sep @t32 @t30))
% 33.59/33.96  (define @t34 () (tptp.sep @t27 (tptp.sep @t32 @t31)))
% 33.59/33.96  (define @t35 () (tptp.heap @t34))
% 33.59/33.96  (define @t36 () (tptp.sep @t28 @t30))
% 33.59/33.96  (define @t37 () (tptp.sep @t28 @t33))
% 33.59/33.96  (define @t38 () (tptp.heap @t36))
% 33.59/33.96  (define @t39 () (tptp.lseg tptp.x1 tptp.x2))
% 33.59/33.96  (define @t40 () (not (tptp.heap (tptp.sep @t26 (tptp.sep @t39 @t30)))))
% 33.59/33.96  (define @t41 () (or @t40 @t38))
% 33.59/33.96  (define @t42 () (tptp.heap (tptp.sep @t39 @t31)))
% 33.59/33.96  (define @t43 () (not @t35))
% 33.59/33.96  (define @t44 () (or @t43 @t22 @t42))
% 33.59/33.96  (assume @p1 (forall (@list @t2 @t3 @t1) (= (tptp.sep @t2 (tptp.sep @t3 @t1)) (tptp.sep @t3 (tptp.sep @t2 @t1)))))
% 33.59/33.96  (assume @p2 @t6)
% 33.59/33.96  (assume @p3 (forall @t8 (not (tptp.heap (tptp.sep (tptp.next tptp.nil @t7) @t1)))))
% 33.59/33.96  (assume @p4 (forall @t8 (or (not (tptp.heap (tptp.sep (tptp.lseg tptp.nil @t7) @t1))) (= @t7 tptp.nil))))
% 33.59/33.96  (assume @p5 (forall @t11 (not (tptp.heap (tptp.sep @t10 (tptp.sep (tptp.next @t4 @t9) @t1))))))
% 33.59/33.96  (assume @p6 (forall @t11 (or (not (tptp.heap (tptp.sep @t10 @t14))) @t12)))
% 33.59/33.96  (assume @p7 (forall @t11 (or (not (tptp.heap (tptp.sep @t16 @t14))) @t15 @t12)))
% 33.59/33.96  (assume @p8 (forall @t11 (or (not (tptp.heap (tptp.sep @t10 (tptp.sep @t17 @t1)))) @t15 (tptp.heap @t14))))
% 33.59/33.96  (assume @p9 (forall (@list @t4 @t7 @t1) (or (not (tptp.heap (tptp.sep @t16 (tptp.sep (tptp.lseg @t7 tptp.nil) @t1)))) (tptp.heap (tptp.sep (tptp.lseg @t4 tptp.nil) @t1)))))
% 33.59/33.96  (assume @p10 (forall @t20 (or (not (tptp.heap (tptp.sep @t16 (tptp.sep @t17 @t19)))) (tptp.heap (tptp.sep @t13 @t19)))))
% 33.59/33.96  (assume @p11 (forall @t20 (or (not (tptp.heap (tptp.sep @t16 (tptp.sep @t17 @t21)))) (= @t9 @t18) (tptp.heap (tptp.sep @t13 @t21)))))
% 33.59/33.96  (assume @p12 (not (= tptp.nil tptp.x1)))
% 33.59/33.96  (assume @p13 (not (= tptp.nil tptp.x2)))
% 33.59/33.96  (assume @p14 (not (= tptp.nil tptp.x3)))
% 33.59/33.96  (assume @p15 (not (= tptp.x1 tptp.x4)))
% 33.59/33.96  (assume @p16 (not @t22))
% 33.59/33.96  (assume @p17 (not (= tptp.x4 tptp.x2)))
% 33.59/33.96  (assume @p18 (not (= tptp.x4 tptp.x3)))
% 33.59/33.96  (assume @p19 (not (= tptp.x2 tptp.x3)))
% 33.59/33.96  (assume @p20 (tptp.heap (tptp.sep @t27 (tptp.sep @t26 (tptp.sep @t25 @t24)))))
% 33.59/33.96  (assume @p21 (not (tptp.heap (tptp.sep @t25 (tptp.sep @t23 (tptp.sep @t28 tptp.emp))))))
% 33.59/33.96  (step @p22 :rule instantiate :premises (@p8) :args ((@list tptp.x1 tptp.x2 tptp.x2 @t31)))
% 33.59/33.96  (step @p23 :rule true_intro :premises (@p20))
% 33.59/33.96  (step @p24 :rule instantiate :premises (@p1) :args ((@list @t23 @t25 tptp.emp)))
% 33.59/33.96  (step @p25 :rule eq-symm :args (@t5 @t1))
% 33.59/33.96  (step @p26 :rule cong :premises (@p25) :args (@t6))
% 33.59/33.96  (step @p27 :rule eq_resolve :premises (@p2 @p26))
% 33.59/33.96  (step @p28 :rule instantiate :premises (@p27) :args ((@list tptp.x2 @t30)))
% 33.59/33.96  (step @p29 :rule symm :premises (@p28))
% 33.59/33.96  (step @p30 :rule trans :premises (@p29 @p24))
% 33.59/33.96  (step @p31 :rule refl :args (@t26))
% 33.59/33.96  (step @p32 :rule cong :premises (@p31 @p30) :args ((tptp.sep @t26 @t33)))
% 33.59/33.96  (step @p33 :rule instantiate :premises (@p1) :args ((@list @t32 @t26 @t30)))
% 33.59/33.96  (step @p34 :rule trans :premises (@p33 @p32))
% 33.59/33.96  (step @p35 :rule refl :args (@t27))
% 33.59/33.96  (step @p36 :rule cong :premises (@p35 @p34) :args (@t34))
% 33.59/33.96  (step @p37 :rule cong :premises (@p36) :args (@t35))
% 33.59/33.96  (step @p38 :rule trans :premises (@p37 @p23))
% 33.59/33.96  (step @p39 :rule true_elim :premises (@p38))
% 33.59/33.96  (step @p40 :rule instantiate :premises (@p10) :args ((@list tptp.x3 tptp.x1 tptp.x2 tptp.x4 @t29)))
% 33.59/33.96  (step @p41 :rule false_intro :premises (@p21))
% 33.59/33.96  (step @p42 :rule instantiate :premises (@p1) :args ((@list @t28 @t23 tptp.emp)))
% 33.59/33.96  (step @p43 :rule refl :args (@t25))
% 33.59/33.96  (step @p44 :rule cong :premises (@p43 @p42) :args ((tptp.sep @t25 (tptp.sep @t28 @t24))))
% 33.59/33.96  (step @p45 :rule instantiate :premises (@p1) :args ((@list @t25 @t28 @t24)))
% 33.59/33.96  (step @p46 :rule symm :premises (@p45))
% 33.59/33.96  (step @p47 :rule refl :args (@t28))
% 33.59/33.96  (step @p48 :rule cong :premises (@p47 @p24) :args (@t36))
% 33.59/33.96  (step @p49 :rule cong :premises (@p47 @p29) :args (@t37))
% 33.59/33.96  (step @p50 :rule trans :premises (@p49 @p48 @p46 @p44))
% 33.59/33.96  (step @p51 :rule cong :premises (@p50) :args ((tptp.heap @t37)))
% 33.59/33.96  (step @p52 :rule symm :premises (@p49))
% 33.59/33.96  (step @p53 :rule cong :premises (@p52) :args (@t38))
% 33.59/33.96  (step @p54 :rule trans :premises (@p53 @p51 @p41))
% 33.59/33.96  (step @p55 :rule false_elim :premises (@p54))
% 33.59/33.96  (step @p56 :rule cnf_or_pos :args (@t41))
% 33.59/33.96  (step @p57 :rule reordering :premises (@p56) :args ((or @t38 @t40 (not @t41))))
% 33.59/33.96  (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p40) :args (@t40 (@list true false) (@list @t38 @t41)))
% 33.59/33.96  (step @p59 :rule false_intro :premises (@p58))
% 33.59/33.96  (step @p60 :rule instantiate :premises (@p1) :args ((@list @t39 @t26 @t30)))
% 33.59/33.96  (step @p61 :rule cong :premises (@p60) :args (@t42))
% 33.59/33.96  (step @p62 :rule trans :premises (@p61 @p59))
% 33.59/33.96  (step @p63 :rule false_elim :premises (@p62))
% 33.59/33.96  (step @p64 :rule cnf_or_pos :args (@t44))
% 33.59/33.96  (step @p65 :rule reordering :premises (@p64) :args ((or @t22 @t43 @t42 (not @t44))))
% 33.59/33.96  (step @p66 false :rule chain_m_resolution :premises (@p65 @p63 @p39 @p22 @p16) :args (false (@list true false false true) (@list @t42 @t35 @t44 @t22)))
% 33.59/33.96  )
% 33.59/33.96  % SZS output end Proof
% 33.59/33.96  % cvc5 exiting
%------------------------------------------------------------------------------