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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : KRS136+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 : n009.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 08:28:59 AM UTC 2026

% Result   : Theorem 0.33s 0.55s
% Output   : Proof 0.33s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KRS136+1 : TPTP v9.2.1. Released v3.1.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n009.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 05:27:59 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.33/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.33/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.33/0.55  % SZS status Theorem
% 0.33/0.55  % SZS output start Proof
% 0.33/0.55  (
% 0.33/0.55  (declare-sort $$unsorted 0)
% 0.33/0.55  (declare-const tptp.xsd_string (-> $$unsorted Bool))
% 0.33/0.55  (declare-const tptp.xsd_integer (-> $$unsorted Bool))
% 0.33/0.55  (declare-const tptp.cowlThing (-> $$unsorted Bool))
% 0.33/0.55  (declare-const tptp.cowlNothing (-> $$unsorted Bool))
% 0.33/0.55  (define @t1 () (@var "X" $$unsorted))
% 0.33/0.55  (define @t2 () (not (tptp.cowlNothing @t1)))
% 0.33/0.55  (define @t3 () (tptp.cowlThing @t1))
% 0.33/0.55  (define @t4 () (@list @t1))
% 0.33/0.55  (define @t5 () (forall @t4 (and @t3 @t2)))
% 0.33/0.55  (define @t6 () (forall @t4 (= (tptp.xsd_string @t1) (not (tptp.xsd_integer @t1)))))
% 0.33/0.55  (define @t7 () (and @t5 @t6))
% 0.33/0.55  (define @t8 () (not @t7))
% 0.33/0.55  (define @t9 () (forall @t4 @t2))
% 0.33/0.55  (define @t10 () (@list @t1))
% 0.33/0.55  (define @t11 () (@var "BOUND_VARIABLE_7431" $$unsorted))
% 0.33/0.55  (define @t12 () (forall @t4 @t3))
% 0.33/0.55  (define @t13 () (@var "BOUND_VARIABLE_7426" $$unsorted))
% 0.33/0.55  (define @t14 () (and @t12 @t9))
% 0.33/0.55  (define @t15 () (forall (@list @t11) (not (tptp.cowlNothing @t11))))
% 0.33/0.55  (define @t16 () (forall (@list @t13) (tptp.cowlThing @t13)))
% 0.33/0.55  (assume @p1 @t5)
% 0.33/0.55  (assume @p2 @t6)
% 0.33/0.55  (assume @p3 @t8)
% 0.33/0.55  (assume @p4 true)
% 0.33/0.55  (step @p5 :rule alpha_equiv :args (@t9 @t10 (@list @t11)))
% 0.33/0.55  (step @p6 :rule alpha_equiv :args (@t12 @t10 (@list @t13)))
% 0.33/0.55  (step @p7 :rule nary_cong :premises (@p6 @p5) :args (@t14))
% 0.33/0.55  (step @p8 :rule quant-miniscope-and :args ((= @t5 @t14)))
% 0.33/0.55  (step @p9 :rule trans :premises (@p8 @p7))
% 0.33/0.55  (step @p10 :rule eq_resolve :premises (@p1 @p9))
% 0.33/0.55  (step @p11 :rule and_elim :premises (@p10) :args (0))
% 0.33/0.55  (step @p12 :rule and_elim :premises (@p10) :args (1))
% 0.33/0.55  (step @p13 :rule aci_norm :args ((= (and (and @t16 @t15) @t6) (and @t6 @t16 @t15))))
% 0.33/0.55  (step @p14 :rule refl :args (@t6))
% 0.33/0.55  (step @p15 :rule nary_cong :premises (@p9 @p14) :args (@t7))
% 0.33/0.55  (step @p16 :rule trans :premises (@p15 @p13))
% 0.33/0.55  (step @p17 :rule cong :premises (@p16) :args (@t8))
% 0.33/0.55  (step @p18 :rule eq_resolve :premises (@p3 @p17))
% 0.33/0.55  (step @p19 :rule not_and :premises (@p18))
% 0.33/0.55  (step @p20 :rule reordering :premises (@p19) :args ((or (not @t16) (not @t15) (not @t6))))
% 0.33/0.55  (step @p21 false :rule chain_m_resolution :premises (@p20 @p2 @p12 @p11) :args (false (@list false false false) (@list @t6 @t15 @t16)))
% 0.33/0.55  )
% 0.33/0.55  % SZS output end Proof
% 0.33/0.55  % cvc5 exiting
%------------------------------------------------------------------------------