TSTP Solution File: SET841-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET841-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n029.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 14:40:37 EDT 2023

% Result   : Unsatisfiable 0.22s 0.53s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SET841-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.16/0.36  % Computer : n029.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Sat Aug 26 10:20:54 EDT 2023
% 0.16/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.CLv5WZ1DW3/cvc5---1.0.5_9156.p...
% 0.22/0.51  ------- get file name : TPTP file name is SET841-2
% 0.22/0.52  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9156.smt2...
% 0.22/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.53  % SZS status Unsatisfiable for SET841-2
% 0.22/0.53  % SZS output start Proof for SET841-2
% 0.22/0.54  (
% 0.22/0.54  (let ((_let_1 (tptp.tc_set (tptp.tc_set tptp.t_a)))) (let ((_let_2 (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S tptp.v_x tptp.t_a) tptp.v_m _let_1))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.c_lessequals tptp.v_x tptp.v_m _let_1))) (let ((_let_5 (tptp.c_Zorn_OTFin tptp.v_S tptp.t_a))) (let ((_let_6 (tptp.c_in tptp.v_x _let_5 _let_1))) (let ((_let_7 (= tptp.v_m (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a)))) (let ((_let_8 (tptp.c_in tptp.v_m _let_5 _let_1))) (let ((_let_9 (forall ((V_n $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_m $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set T_a)))) (let ((_let_2 (tptp.c_Zorn_OTFin V_S T_a))) (or (not (tptp.c_in V_n _let_2 _let_1)) (not (tptp.c_in V_m _let_2 _let_1)) (not (tptp.c_lessequals V_n V_m _let_1)) (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_n T_a) V_m _let_1) (= V_n V_m))))))) (let ((_let_10 (= tptp.v_m tptp.v_x))) (let ((_let_11 (ASSUME :args (_let_7)))) (let ((_let_12 (ASSUME :args (_let_4)))) (let ((_let_13 (ASSUME :args (_let_3)))) (let ((_let_14 (not _let_4))) (let ((_let_15 (not _let_8))) (let ((_let_16 (not _let_6))) (let ((_let_17 (or _let_16 _let_15 _let_14 _let_2 _let_10))) (let ((_let_18 (_let_9))) (let ((_let_19 (ASSUME :args _let_18))) (let ((_let_20 (not _let_10))) (let ((_let_21 (not _let_7))) (let ((_let_22 (ASSUME :args (_let_10)))) (let ((_let_23 (SYMM _let_22))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_12 _let_22 _let_11 _let_13) :args (_let_7 _let_4 _let_3 _let_10)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_13)) (CONG (TRANS (CONG (REFL :args (tptp.v_S)) _let_23 (REFL :args (tptp.t_a)) :args (APPLY_UF tptp.c_Zorn_Osucc)) (SYMM _let_11) (SYMM _let_23)) (REFL :args (tptp.v_m)) (REFL :args (_let_1)) :args (APPLY_UF tptp.c_lessequals)) (TRUE_INTRO _let_12))) :args (_let_4 _let_10 _let_7 _let_3)) :args ((not (and _let_7 _let_4 _let_3 _let_10)) SB_LITERAL))) (CONG (REFL :args (_let_21)) (REFL :args (_let_14)) (MACRO_SR_PRED_INTRO :args ((= (not _let_3) _let_2))) (REFL :args (_let_20)) :args (or))) :args ((or _let_2 _let_21 _let_14 _let_20))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_2 _let_15 _let_16 _let_14 _let_10 (not _let_17)))) _let_13 (ASSUME :args (_let_8)) (ASSUME :args (_let_6)) _let_12 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.v_x tptp.v_S tptp.t_a tptp.v_m QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_n T_a) V_m (tptp.tc_set (tptp.tc_set T_a))) true))))) :args _let_18))) _let_19 :args (_let_17 false _let_9)) :args (_let_10 true _let_2 false _let_8 false _let_6 false _let_4 false _let_17)) _let_13 _let_12 _let_11 :args (false false _let_10 true _let_2 false _let_4 false _let_7)) :args ((forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_A V_A (tptp.tc_set T_a))) _let_9 _let_8 _let_7 _let_6 _let_4 _let_3))))))))))))))))))))))))))
% 0.22/0.54  )
% 0.22/0.54  % SZS output end Proof for SET841-2
% 0.22/0.54  % cvc5---1.0.5 exiting
% 0.22/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------