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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ITP001_2 : TPTP v9.2.1. Bugfixed v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 08:24:20 AM UTC 2026

% Result   : Theorem 0.30s 0.55s
% Output   : Proof 0.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP001_2 : TPTP v9.2.1. Bugfixed v7.5.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n020.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 03:32:55 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.30/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.30/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.30/0.55  % SZS status Theorem
% 0.30/0.55  % SZS output start Proof
% 0.30/0.55  (
% 0.30/0.55  (declare-sort tptp.tp__o 0)
% 0.30/0.55  (declare-sort tptp.del 0)
% 0.30/0.55  (declare-sort $$unsorted 0)
% 0.30/0.55  (declare-const tptp.c_2Emin_2E_3D (-> tptp.del $$unsorted))
% 0.30/0.55  (declare-const tptp.fo__c_2Ebool_2ET tptp.tp__o)
% 0.30/0.55  (declare-const tptp.c_2Ebool_2ET $$unsorted)
% 0.30/0.55  (declare-const tptp.surj__o (-> $$unsorted tptp.tp__o))
% 0.30/0.55  (declare-const tptp.inj__o (-> tptp.tp__o $$unsorted))
% 0.30/0.55  (declare-const tptp.i (-> tptp.del $$unsorted))
% 0.30/0.55  (declare-const tptp.k (-> tptp.del $$unsorted $$unsorted))
% 0.30/0.55  (declare-const tptp.bool tptp.del)
% 0.30/0.55  (declare-const tptp.p (-> $$unsorted Bool))
% 0.30/0.55  (declare-const tptp.arr (-> tptp.del tptp.del tptp.del))
% 0.30/0.55  (declare-const tptp.mem (-> $$unsorted tptp.del Bool))
% 0.30/0.55  (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted))
% 0.30/0.55  (define @t1 () (@var "B" tptp.del))
% 0.30/0.55  (define @t2 () (@var "X" $$unsorted))
% 0.30/0.55  (define @t3 () (@var "F" $$unsorted))
% 0.30/0.55  (define @t4 () (tptp.ap @t3 @t2))
% 0.30/0.55  (define @t5 () (@var "A" tptp.del))
% 0.30/0.55  (define @t6 () (tptp.mem @t2 @t5))
% 0.30/0.55  (define @t7 () (@list @t2))
% 0.30/0.55  (define @t8 () (tptp.arr @t5 @t1))
% 0.30/0.55  (define @t9 () (tptp.mem @t3 @t8))
% 0.30/0.55  (define @t10 () (@list @t5 @t1 @t3))
% 0.30/0.55  (define @t11 () (@var "R" $$unsorted))
% 0.30/0.55  (define @t12 () (@var "Q" $$unsorted))
% 0.30/0.55  (define @t13 () (@var "G" $$unsorted))
% 0.30/0.55  (define @t14 () (@var "Y" $$unsorted))
% 0.30/0.55  (define @t15 () (@list @t5 @t2))
% 0.30/0.55  (define @t16 () (@var "X" tptp.tp__o))
% 0.30/0.55  (define @t17 () (tptp.inj__o @t16))
% 0.30/0.55  (define @t18 () (@list @t16))
% 0.30/0.55  (define @t19 () (@var "A_27a" tptp.del))
% 0.30/0.55  (define @t20 () (tptp.i tptp.bool))
% 0.30/0.55  (define @t21 () (not true))
% 0.30/0.55  (assume @p1 (forall @t10 (=> @t9 (forall @t7 (=> @t6 (tptp.mem @t4 @t1))))))
% 0.30/0.55  (assume @p2 (forall (@list @t12) (=> (tptp.mem @t12 tptp.bool) (forall (@list @t11) (=> (tptp.mem @t11 tptp.bool) (=> (= (tptp.p @t12) (tptp.p @t11)) (= @t12 @t11)))))))
% 0.30/0.55  (assume @p3 (forall @t10 (=> @t9 (forall (@list @t13) (=> (tptp.mem @t13 @t8) (=> (forall @t7 (=> @t6 (= @t4 (tptp.ap @t13 @t2)))) (= @t3 @t13)))))))
% 0.30/0.55  (assume @p4 (forall (@list @t5 @t14 @t2) (=> @t6 (= (tptp.ap (tptp.k @t5 @t14) @t2) @t14))))
% 0.30/0.55  (assume @p5 (forall @t15 (=> @t6 (= (tptp.ap (tptp.i @t5) @t2) @t2))))
% 0.30/0.55  (assume @p6 (forall @t18 (= (tptp.surj__o @t17) @t16)))
% 0.30/0.55  (assume @p7 (forall @t18 (tptp.mem @t17 tptp.bool)))
% 0.30/0.55  (assume @p8 (forall @t7 (=> (tptp.mem @t2 tptp.bool) (= @t2 (tptp.inj__o (tptp.surj__o @t2))))))
% 0.30/0.55  (assume @p9 (tptp.mem tptp.c_2Ebool_2ET tptp.bool))
% 0.30/0.55  (assume @p10 (= (tptp.inj__o tptp.fo__c_2Ebool_2ET) tptp.c_2Ebool_2ET))
% 0.30/0.55  (assume @p11 (tptp.p tptp.c_2Ebool_2ET))
% 0.30/0.55  (assume @p12 (forall (@list @t19) (tptp.mem (tptp.c_2Emin_2E_3D @t19) (tptp.arr @t19 (tptp.arr @t19 tptp.bool)))))
% 0.30/0.55  (assume @p13 (forall @t15 (=> @t6 (forall (@list @t14) (=> (tptp.mem @t14 @t5) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2Emin_2E_3D @t5) @t2) @t14)) (= @t2 @t14)))))))
% 0.30/0.55  (assume @p14 (= true (= @t20 @t20)))
% 0.30/0.55  (assume @p15 @t21)
% 0.30/0.55  (assume @p16 true)
% 0.30/0.55  (step @p17 :rule evaluate :args (@t21))
% 0.30/0.55  (step @p18 false :rule eq_resolve :premises (@p15 @p17))
% 0.30/0.55  )
% 0.30/0.55  % SZS output end Proof
% 0.30/0.55  % cvc5 exiting
%------------------------------------------------------------------------------