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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/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n025.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 08:24:19 AM UTC 2026

% Result   : Theorem 0.29s 0.54s
% Output   : Proof 0.29s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : ITP001+2 : TPTP v9.2.1. Bugfixed v7.5.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.33  % Computer : n025.cluster.edu
% 0.17/0.33  % Model    : x86_64 x86_64
% 0.17/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33  % Memory   : 8042.1875MB
% 0.17/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33  % CPULimit : 300
% 0.17/0.33  % WCLimit  : 300
% 0.17/0.33  % DateTime : Tue Jun  2 03:32:46 EDT 2026
% 0.17/0.33  % CPUTime  : 
% 0.29/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.29/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.29/0.54  % SZS status Theorem
% 0.29/0.54  % SZS output start Proof
% 0.29/0.54  (
% 0.29/0.54  (declare-sort $$unsorted 0)
% 0.29/0.54  (declare-const tptp.c_2Ebool_2ET $$unsorted)
% 0.29/0.54  (declare-const tptp.k (-> $$unsorted $$unsorted $$unsorted))
% 0.29/0.54  (declare-const tptp.i (-> $$unsorted $$unsorted))
% 0.29/0.54  (declare-const tptp.mem (-> $$unsorted $$unsorted Bool))
% 0.29/0.54  (declare-const tptp.p (-> $$unsorted Bool))
% 0.29/0.54  (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted))
% 0.29/0.54  (declare-const tptp.arr (-> $$unsorted $$unsorted $$unsorted))
% 0.29/0.54  (declare-const tptp.ind $$unsorted)
% 0.29/0.54  (declare-const tptp.ne (-> $$unsorted Bool))
% 0.29/0.54  (declare-const tptp.c_2Emin_2E_3D (-> $$unsorted $$unsorted))
% 0.29/0.54  (declare-const tptp.bool $$unsorted)
% 0.29/0.54  (define @t1 () (@var "B" $$unsorted))
% 0.29/0.54  (define @t2 () (@var "A" $$unsorted))
% 0.29/0.54  (define @t3 () (tptp.arr @t2 @t1))
% 0.29/0.54  (define @t4 () (tptp.ne @t2))
% 0.29/0.54  (define @t5 () (@list @t2))
% 0.29/0.54  (define @t6 () (@var "X" $$unsorted))
% 0.29/0.54  (define @t7 () (@var "F" $$unsorted))
% 0.29/0.54  (define @t8 () (tptp.ap @t7 @t6))
% 0.29/0.54  (define @t9 () (tptp.mem @t6 @t2))
% 0.29/0.54  (define @t10 () (@list @t6))
% 0.29/0.54  (define @t11 () (tptp.mem @t7 @t3))
% 0.29/0.54  (define @t12 () (@list @t2 @t1 @t7))
% 0.29/0.54  (define @t13 () (@var "R" $$unsorted))
% 0.29/0.54  (define @t14 () (@var "Q" $$unsorted))
% 0.29/0.54  (define @t15 () (@var "G" $$unsorted))
% 0.29/0.54  (define @t16 () (@var "Y" $$unsorted))
% 0.29/0.54  (define @t17 () (@var "A_27a" $$unsorted))
% 0.29/0.54  (define @t18 () (tptp.i tptp.bool))
% 0.29/0.54  (define @t19 () (not true))
% 0.29/0.54  (assume @p1 (tptp.ne tptp.bool))
% 0.29/0.54  (assume @p2 (tptp.ne tptp.ind))
% 0.29/0.54  (assume @p3 (forall @t5 (=> @t4 (forall (@list @t1) (=> (tptp.ne @t1) (tptp.ne @t3))))))
% 0.29/0.54  (assume @p4 (forall @t12 (=> @t11 (forall @t10 (=> @t9 (tptp.mem @t8 @t1))))))
% 0.29/0.54  (assume @p5 (forall (@list @t14) (=> (tptp.mem @t14 tptp.bool) (forall (@list @t13) (=> (tptp.mem @t13 tptp.bool) (=> (= (tptp.p @t14) (tptp.p @t13)) (= @t14 @t13)))))))
% 0.29/0.54  (assume @p6 (forall @t12 (=> @t11 (forall (@list @t15) (=> (tptp.mem @t15 @t3) (=> (forall @t10 (=> @t9 (= @t8 (tptp.ap @t15 @t6)))) (= @t7 @t15)))))))
% 0.29/0.54  (assume @p7 (forall (@list @t2 @t16 @t6) (=> @t9 (= (tptp.ap (tptp.k @t2 @t16) @t6) @t16))))
% 0.29/0.54  (assume @p8 (forall (@list @t2 @t6) (=> @t9 (= (tptp.ap (tptp.i @t2) @t6) @t6))))
% 0.29/0.54  (assume @p9 (tptp.mem tptp.c_2Ebool_2ET tptp.bool))
% 0.29/0.54  (assume @p10 (tptp.p tptp.c_2Ebool_2ET))
% 0.29/0.54  (assume @p11 (forall (@list @t17) (=> (tptp.ne @t17) (tptp.mem (tptp.c_2Emin_2E_3D @t17) (tptp.arr @t17 (tptp.arr @t17 tptp.bool))))))
% 0.29/0.54  (assume @p12 (forall @t5 (=> @t4 (forall @t10 (=> @t9 (forall (@list @t16) (=> (tptp.mem @t16 @t2) (= (tptp.p (tptp.ap (tptp.ap (tptp.c_2Emin_2E_3D @t2) @t6) @t16)) (= @t6 @t16)))))))))
% 0.29/0.54  (assume @p13 (= true (= @t18 @t18)))
% 0.29/0.54  (assume @p14 @t19)
% 0.29/0.54  (assume @p15 true)
% 0.29/0.54  (step @p16 :rule evaluate :args (@t19))
% 0.29/0.54  (step @p17 false :rule eq_resolve :premises (@p14 @p16))
% 0.29/0.54  )
% 0.29/0.54  % SZS output end Proof
% 0.29/0.54  % cvc5 exiting
%------------------------------------------------------------------------------