TSTP Solution File: SET845-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET845-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n011.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 0.22s 0.53s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET845-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.16/0.36  % Computer : n011.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 16:09:09 EDT 2023
% 0.16/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.vHR8XeGvBp/cvc5---1.0.5_7227.p...
% 0.22/0.51  ------- get file name : TPTP file name is SET845-2
% 0.22/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_7227.smt2...
% 0.22/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.53  % SZS status Unsatisfiable for SET845-2
% 0.22/0.53  % SZS output start Proof for SET845-2
% 0.22/0.53  (
% 0.22/0.53  (let ((_let_1 (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a))) (let ((_let_2 (= tptp.v_m _let_1))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.tc_set tptp.t_a))) (let ((_let_5 (tptp.c_Zorn_OTFin tptp.v_S tptp.t_a))) (let ((_let_6 (tptp.c_Union _let_5 _let_4))) (let ((_let_7 (= tptp.v_m _let_6))) (let ((_let_8 (tptp.tc_set _let_4))) (let ((_let_9 (tptp.c_in tptp.v_m _let_5 _let_8))) (let ((_let_10 (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set T_a)))) (let ((_let_2 (tptp.c_Zorn_OTFin V_S T_a))) (or (not (tptp.c_in V_x _let_2 _let_1)) (tptp.c_in (tptp.c_Zorn_Osucc V_S V_x T_a) _let_2 _let_1))))))) (let ((_let_11 (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x (tptp.c_Zorn_Osucc V_S V_x T_a) (tptp.tc_set (tptp.tc_set T_a)))))) (let ((_let_12 (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (or (not (tptp.c_lessequals V_B V_A _let_1)) (not (tptp.c_lessequals V_A V_B _let_1)) (= V_A V_B)))))) (let ((_let_13 (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (or (not (tptp.c_in V_B V_A _let_1)) (tptp.c_lessequals V_B (tptp.c_Union V_A T_a) _let_1)))))) (let ((_let_14 (tptp.c_lessequals _let_1 _let_6 _let_8))) (let ((_let_15 (tptp.c_lessequals _let_1 tptp.v_m _let_8))) (let ((_let_16 (ASSUME :args (_let_7)))) (let ((_let_17 (tptp.c_in _let_1 _let_5 _let_8))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_14))) (let ((_let_20 (_let_13))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (not _let_9))) (let ((_let_23 (or _let_22 _let_17))) (let ((_let_24 (_let_10))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (not _let_15))) (let ((_let_27 (tptp.c_lessequals tptp.v_m _let_1 _let_8))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_26 _let_2))) (let ((_let_30 (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (or (not (tptp.c_lessequals V_B V_A _let_1)) (not (tptp.c_lessequals V_A V_B _let_1)) (= V_B V_A)))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (_let_11))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (and _let_7 _let_14))) (let ((_let_35 (ASSUME :args (_let_14)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_34)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_35 _let_16) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_1)) (SYMM (SYMM _let_16)) (REFL :args (_let_8)) :args (APPLY_UF tptp.c_lessequals)) (TRUE_INTRO _let_35))) :args (_let_14 _let_7))) :args (_let_7 _let_14))) :args (true _let_34)) :args ((or (not _let_7) _let_15 (not _let_14)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_2 _let_28 _let_26 (not _let_29)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.v_m tptp.v_S tptp.t_a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Zorn_Osucc V_S V_x T_a)))) :args _let_32)) _let_33 :args (_let_27 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.v_m _let_1 _let_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_B V_A (tptp.tc_set T_a)) false))))) :args (_let_30))) _let_31 :args (_let_29 false _let_30)) :args (_let_26 true _let_2 false _let_27 false _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_14 (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_22 _let_17 (not _let_23)))) (ASSUME :args (_let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.v_m tptp.v_S tptp.t_a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Zorn_Osucc V_S V_x T_a)))) :args _let_24)) _let_25 :args (_let_23 false _let_10)) :args (_let_17 false _let_9 false _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_1 _let_5 _let_4 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_B V_A (tptp.tc_set T_a)) false))))) :args _let_20)) _let_21 :args (_let_19 false _let_13)) :args (_let_14 false _let_17 false _let_19)) _let_16 :args (false true _let_15 false _let_14 false _let_7)) :args (_let_13 _let_12 _let_11 _let_10 _let_9 _let_7 _let_3))))))))))))))))))))))))))))))))))))))
% 0.22/0.53  )
% 0.22/0.53  % SZS output end Proof for SET845-2
% 0.22/0.54  % cvc5---1.0.5 exiting
% 0.22/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------