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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : KRS126+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n012.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 08:28:58 AM UTC 2026

% Result   : Unsatisfiable 0.15s 0.36s
% Output   : Proof 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : KRS126+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.07  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.25  % Computer : n012.cluster.edu
% 0.07/0.25  % Model    : x86_64 x86_64
% 0.07/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25  % Memory   : 8042.1875MB
% 0.07/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25  % CPULimit : 300
% 0.07/0.25  % WCLimit  : 300
% 0.07/0.25  % DateTime : Tue Jun  2 05:27:48 EDT 2026
% 0.07/0.25  % CPUTime  : 
% 0.15/0.33  %----Proving TF0_NAR, FOF, or CNF
% 0.15/0.33  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.15/0.36  % SZS status Unsatisfiable
% 0.15/0.36  % SZS output start Proof
% 0.15/0.36  (
% 0.15/0.36  (declare-sort $$unsorted 0)
% 0.15/0.36  (declare-const tptp.cowlNothing (-> $$unsorted Bool))
% 0.15/0.36  (declare-const tptp.cd (-> $$unsorted Bool))
% 0.15/0.36  (declare-const tptp.cowlThing (-> $$unsorted Bool))
% 0.15/0.36  (declare-const tptp.xsd_integer (-> $$unsorted Bool))
% 0.15/0.36  (declare-const tptp.ra_Px2 (-> $$unsorted $$unsorted Bool))
% 0.15/0.36  (declare-const tptp.i2003_11_14_17_22_23554 $$unsorted)
% 0.15/0.36  (declare-const tptp.xsd_string (-> $$unsorted Bool))
% 0.15/0.36  (declare-const tptp.cd1 (-> $$unsorted Bool))
% 0.15/0.36  (declare-const tptp.cd1xcomp (-> $$unsorted Bool))
% 0.15/0.36  (declare-const tptp.cUnsatisfiable (-> $$unsorted Bool))
% 0.15/0.36  (declare-const tptp.cdxcomp (-> $$unsorted Bool))
% 0.15/0.36  (declare-const tptp.cc (-> $$unsorted Bool))
% 0.15/0.36  (declare-const tptp.cf (-> $$unsorted Bool))
% 0.15/0.36  (declare-const tptp.ra_Px1 (-> $$unsorted $$unsorted Bool))
% 0.15/0.36  (declare-const tptp.ce3 (-> $$unsorted Bool))
% 0.15/0.36  (define @t1 () (@var "X" $$unsorted))
% 0.15/0.36  (define @t2 () (@list @t1))
% 0.15/0.36  (define @t3 () (tptp.cd1xcomp @t1))
% 0.15/0.36  (define @t4 () (tptp.cUnsatisfiable @t1))
% 0.15/0.36  (define @t5 () (forall @t2 (=> @t4 @t3)))
% 0.15/0.36  (define @t6 () (tptp.cd1 @t1))
% 0.15/0.36  (define @t7 () (forall @t2 (=> @t4 @t6)))
% 0.15/0.36  (define @t8 () (tptp.cdxcomp @t1))
% 0.15/0.36  (define @t9 () (tptp.cc @t1))
% 0.15/0.36  (define @t10 () (@var "Y" $$unsorted))
% 0.15/0.36  (define @t11 () (@list @t10))
% 0.15/0.36  (define @t12 () (tptp.cd @t1))
% 0.15/0.36  (define @t13 () (@var "Y0" $$unsorted))
% 0.15/0.36  (define @t14 () (@list @t13))
% 0.15/0.36  (define @t15 () (tptp.ra_Px2 @t1 @t13))
% 0.15/0.36  (define @t16 () (exists @t14 @t15))
% 0.15/0.36  (define @t17 () (= @t6 @t16))
% 0.15/0.36  (define @t18 () (forall @t2 @t17))
% 0.15/0.36  (define @t19 () (tptp.ra_Px2 @t1 @t10))
% 0.15/0.36  (define @t20 () (exists @t11 @t19))
% 0.15/0.36  (define @t21 () (not @t20))
% 0.15/0.36  (define @t22 () (= @t3 @t21))
% 0.15/0.36  (define @t23 () (forall @t2 @t22))
% 0.15/0.36  (define @t24 () (tptp.cUnsatisfiable tptp.i2003_11_14_17_22_23554))
% 0.15/0.36  (define @t25 () (@list tptp.i2003_11_14_17_22_23554))
% 0.15/0.36  (define @t26 () (tptp.cd1 tptp.i2003_11_14_17_22_23554))
% 0.15/0.36  (define @t27 () (not @t24))
% 0.15/0.36  (define @t28 () (or @t27 @t26))
% 0.15/0.36  (define @t29 () (@list false false))
% 0.15/0.36  (define @t30 () (forall @t14 (not (tptp.ra_Px2 tptp.i2003_11_14_17_22_23554 @t13))))
% 0.15/0.36  (define @t31 () (not @t30))
% 0.15/0.36  (define @t32 () (= @t26 @t31))
% 0.15/0.36  (define @t33 () (forall @t11 (not @t19)))
% 0.15/0.36  (define @t34 () (tptp.cd1xcomp tptp.i2003_11_14_17_22_23554))
% 0.15/0.36  (define @t35 () (or @t27 @t34))
% 0.15/0.36  (define @t36 () (forall @t11 (not (tptp.ra_Px2 tptp.i2003_11_14_17_22_23554 @t10))))
% 0.15/0.36  (define @t37 () (= @t34 @t36))
% 0.15/0.36  (assume @p1 (forall @t2 (and (tptp.cowlThing @t1) (not (tptp.cowlNothing @t1)))))
% 0.15/0.36  (assume @p2 (forall @t2 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1)))))
% 0.15/0.36  (assume @p3 @t5)
% 0.15/0.36  (assume @p4 @t7)
% 0.15/0.36  (assume @p5 (forall @t2 (=> @t9 @t8)))
% 0.15/0.36  (assume @p6 (forall @t2 (= @t12 (not (exists @t11 (tptp.ra_Px1 @t1 @t10))))))
% 0.15/0.36  (assume @p7 (forall @t2 (= @t8 (exists @t14 (tptp.ra_Px1 @t1 @t13)))))
% 0.15/0.36  (assume @p8 @t18)
% 0.15/0.36  (assume @p9 @t23)
% 0.15/0.36  (assume @p10 (forall @t2 (=> (tptp.ce3 @t1) @t9)))
% 0.15/0.36  (assume @p11 (forall @t2 (=> (tptp.cf @t1) @t12)))
% 0.15/0.36  (assume @p12 @t24)
% 0.15/0.36  (step @p13 :rule exists-elim :args ((= @t16 (not (forall @t14 (not @t15))))))
% 0.15/0.36  (step @p14 :rule refl :args (@t6))
% 0.15/0.36  (step @p15 :rule cong :premises (@p14 @p13) :args (@t17))
% 0.15/0.36  (step @p16 :rule cong :premises (@p15) :args (@t18))
% 0.15/0.36  (step @p17 :rule eq_resolve :premises (@p8 @p16))
% 0.15/0.36  (step @p18 :rule instantiate :premises (@p17) :args (@t25))
% 0.15/0.36  (step @p19 :rule bool-impl-elim :args (@t4 @t6))
% 0.15/0.36  (step @p20 :rule cong :premises (@p19) :args (@t7))
% 0.15/0.36  (step @p21 :rule eq_resolve :premises (@p4 @p20))
% 0.15/0.36  (step @p22 :rule instantiate :premises (@p21) :args (@t25))
% 0.15/0.36  (step @p23 :rule cnf_or_pos :args (@t28))
% 0.15/0.36  (step @p24 :rule reordering :premises (@p23) :args ((or @t27 @t26 (not @t28))))
% 0.15/0.36  (step @p25 :rule chain_m_resolution :premises (@p24 @p12 @p22) :args (@t26 @t29 (@list @t24 @t28)))
% 0.15/0.36  (step @p26 :rule cnf_equiv_pos1 :args (@t32))
% 0.15/0.36  (step @p27 :rule reordering :premises (@p26) :args ((or (not @t26) @t31 (not @t32))))
% 0.15/0.36  (step @p28 :rule chain_m_resolution :premises (@p27 @p25 @p18) :args (@t31 @t29 (@list @t26 @t32)))
% 0.15/0.36  (step @p29 :rule bool-double-not-elim :args (@t33))
% 0.15/0.36  (step @p30 :rule exists-elim :args ((= @t20 (not @t33))))
% 0.15/0.36  (step @p31 :rule cong :premises (@p30) :args (@t21))
% 0.15/0.36  (step @p32 :rule trans :premises (@p31 @p29))
% 0.15/0.36  (step @p33 :rule refl :args (@t3))
% 0.15/0.36  (step @p34 :rule cong :premises (@p33 @p32) :args (@t22))
% 0.15/0.36  (step @p35 :rule cong :premises (@p34) :args (@t23))
% 0.15/0.36  (step @p36 :rule eq_resolve :premises (@p9 @p35))
% 0.15/0.36  (step @p37 :rule instantiate :premises (@p36) :args (@t25))
% 0.15/0.36  (step @p38 :rule bool-impl-elim :args (@t4 @t3))
% 0.15/0.36  (step @p39 :rule cong :premises (@p38) :args (@t5))
% 0.15/0.36  (step @p40 :rule eq_resolve :premises (@p3 @p39))
% 0.15/0.36  (step @p41 :rule instantiate :premises (@p40) :args (@t25))
% 0.15/0.36  (step @p42 :rule cnf_or_pos :args (@t35))
% 0.15/0.36  (step @p43 :rule reordering :premises (@p42) :args ((or @t27 @t34 (not @t35))))
% 0.15/0.36  (step @p44 :rule chain_m_resolution :premises (@p43 @p12 @p41) :args (@t34 @t29 (@list @t24 @t35)))
% 0.15/0.36  (step @p45 :rule cnf_equiv_pos1 :args (@t37))
% 0.15/0.36  (step @p46 :rule reordering :premises (@p45) :args ((or (not @t34) @t36 (not @t37))))
% 0.15/0.36  (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p37) :args (@t36 @t29 (@list @t34 @t37)))
% 0.15/0.36  (step @p48 :rule alpha_equiv :args (@t30 (@list @t13) (@list @t10)))
% 0.15/0.36  (step @p49 :rule equiv_elim2 :premises (@p48))
% 0.15/0.36  (step @p50 false :rule chain_m_resolution :premises (@p49 @p47 @p28) :args (false (@list false true) (@list @t36 @t30)))
% 0.15/0.36  )
% 0.15/0.36  % SZS output end Proof
% 0.15/0.36  % cvc5 exiting
%------------------------------------------------------------------------------