%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : PUZ063-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n031.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 : Thu Aug 31 13:13:13 EDT 2023

% Result   : Unsatisfiable 0.23s 0.56s
% Output   : Proof 0.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem    : PUZ063-2 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.37  % Computer : n031.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Sat Aug 26 22:29:38 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.23/0.53  %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.53  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.mrtpOQuvs3/cvc5---1.0.5_4377.p...
% 0.23/0.54  ------- get file name : TPTP file name is PUZ063-2
% 0.23/0.54  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4377.smt2...
% 0.23/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.23/0.56  % SZS status Unsatisfiable for PUZ063-2
% 0.23/0.56  % SZS output start Proof for PUZ063-2
% 0.23/0.56  (
% 0.23/0.56  (let ((_let_1 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= (tptp.c_union tptp.c_emptyset V_y T_a) V_y)))) (let ((_let_2 (tptp.tc_set tptp.t_a))) (let ((_let_3 (tptp.c_Mutil_Otiling tptp.v_A tptp.t_a))) (let ((_let_4 (tptp.c_union tptp.c_emptyset tptp.v_u tptp.t_a))) (let ((_let_5 (tptp.c_in _let_4 _let_3 _let_2))) (let ((_let_6 (not _let_5))) (let ((_let_7 (tptp.c_in tptp.v_u _let_3 _let_2))) (let ((_let_8 (= tptp.v_u _let_4))) (let ((_let_9 (ASSUME :args (_let_7)))) (let ((_let_10 (ASSUME :args (_let_6)))) (let ((_let_11 (forall ((V_y $$unsorted) (T_a $$unsorted)) (= V_y (tptp.c_union tptp.c_emptyset V_y T_a))))) (let ((_let_12 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_13 (not _let_8))) (let ((_let_14 (not _let_7))) (let ((_let_15 (ASSUME :args (_let_8)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_9 _let_15 _let_10) :args (_let_7 _let_6 _let_8)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_10)) (CONG (SYMM _let_15) (REFL :args (_let_3)) (REFL :args (_let_2)) :args (APPLY_UF tptp.c_in)) (TRUE_INTRO _let_9))) :args (_let_7 _let_8 _let_6)) :args ((not (and _let_7 _let_6 _let_8)) SB_LITERAL))) (CONG (REFL :args (_let_14)) (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) (REFL :args (_let_13)) :args (or))) :args ((or _let_5 _let_14 _let_13))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (tptp.v_u tptp.t_a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_union tptp.c_emptyset V_y T_a)))) :args (_let_11))) _let_12 :args (_let_8 false _let_11)) _let_10 _let_9 :args (false false _let_8 true _let_5 false _let_7)) :args (_let_7 _let_6 _let_1))))))))))))))))))
% 0.23/0.56  )
% 0.23/0.56  % SZS output end Proof for PUZ063-2
% 0.23/0.56  % cvc5---1.0.5 exiting
% 0.23/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------