TSTP Solution File: SET844-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET844-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n018.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 14:40:39 EDT 2023

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SET844-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat Aug 26 14:28:45 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.DnlJrI9eEp/cvc5---1.0.5_11791.p...
% 0.20/0.49  ------- get file name : TPTP file name is SET844-2
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_11791.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.52  % SZS status Unsatisfiable for SET844-2
% 0.20/0.52  % SZS output start Proof for SET844-2
% 0.20/0.52  (
% 0.20/0.52  (let ((_let_1 (tptp.tc_set tptp.t_a))) (let ((_let_2 (tptp.tc_set _let_1))) (let ((_let_3 (tptp.c_Zorn_OTFin tptp.v_S tptp.t_a))) (let ((_let_4 (tptp.c_Union _let_3 _let_1))) (let ((_let_5 (tptp.c_lessequals _let_4 tptp.v_m _let_2))) (let ((_let_6 (not _let_5))) (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_3 _let_2))) (let ((_let_9 (forall ((V_m $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_n $$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_m _let_2 _let_1)) (not (tptp.c_in V_n _let_2 _let_1)) (not (= V_m (tptp.c_Zorn_Osucc V_S V_m T_a))) (tptp.c_lessequals V_n V_m _let_1))))))) (let ((_let_10 (forall ((V_Y $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (let ((_let_2 (tptp.tc_set _let_1))) (let ((_let_3 (tptp.c_Zorn_OTFin V_S T_a))) (or (not (tptp.c_lessequals V_Y _let_3 (tptp.tc_set _let_2))) (tptp.c_in (tptp.c_Union V_Y _let_1) _let_3 _let_2)))))))) (let ((_let_11 (forall ((V_A $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_A V_A (tptp.tc_set T_a))))) (let ((_let_12 (not _let_7))) (let ((_let_13 (tptp.c_in _let_4 _let_3 _let_2))) (let ((_let_14 (not _let_13))) (let ((_let_15 (not _let_8))) (let ((_let_16 (or _let_15 _let_14 _let_12 _let_5))) (let ((_let_17 (_let_9))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 (not _let_16))) (let ((_let_20 (tptp.c_lessequals _let_3 _let_3 (tptp.tc_set _let_2)))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_13))) (let ((_let_23 (_let_10))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (_let_11))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 (tptp.tc_set (tptp.tc_set T_a)))) (let ((_let_28 (tptp.c_Zorn_OTFin V_S T_a))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args (tptp.v_m tptp.v_S tptp.t_a _let_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_m _let_28 _let_27) false)) (not (= (tptp.c_in V_n _let_28 _let_27) false))))) :args _let_17)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_5 _let_15 _let_12 _let_14 _let_19))) (ASSUME :args (_let_6)) (ASSUME :args (_let_8)) (ASSUME :args (_let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_13 (not _let_22)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (_let_3 _let_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_A V_A (tptp.tc_set T_a)) true))))) :args _let_25)) _let_26 :args (_let_20 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_3 tptp.v_S tptp.t_a QUANTIFIERS_INST_E_MATCHING ((tptp.c_Zorn_OTFin V_S T_a) (tptp.c_Union V_Y (tptp.tc_set T_a))))) :args _let_23)) _let_24 :args (_let_22 false _let_10)) :args (_let_13 false _let_20 false _let_22)) :args (_let_19 true _let_5 false _let_8 false _let_7 false _let_13)) _let_18 :args (false true _let_16 false _let_9)) :args (_let_11 _let_10 _let_9 _let_8 _let_7 _let_6)))))))))))))))))))))))))))))))
% 0.20/0.53  )
% 0.20/0.53  % SZS output end Proof for SET844-2
% 0.20/0.53  % cvc5---1.0.5 exiting
% 0.20/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------