TSTP Solution File: SET864-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET864-2 : 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 14:40:48 EDT 2023

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SET864-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.15/0.34  % Computer : n018.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Sat Aug 26 15:07:15 EDT 2023
% 0.15/0.34  % CPUTime    : 
% 0.19/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.47  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.wmvX6qtvfo/cvc5---1.0.5_30358.p...
% 0.19/0.48  ------- get file name : TPTP file name is SET864-2
% 0.19/0.48  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30358.smt2...
% 0.19/0.48  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.50  % SZS status Unsatisfiable for SET864-2
% 0.19/0.50  % SZS output start Proof for SET864-2
% 0.19/0.50  (
% 0.19/0.50  (let ((_let_1 (forall ((V_U $$unsorted)) (or (not (= V_U (tptp.v_x V_U))) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))))) (let ((_let_2 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_set tptp.t_a))) (or (tptp.c_lessequals V_U (tptp.v_x V_U) _let_1) (not (tptp.c_in V_U tptp.v_S _let_1))))))) (let ((_let_3 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_set tptp.t_a))) (or (tptp.c_in (tptp.v_x V_U) tptp.v_S _let_1) (not (tptp.c_in V_U tptp.v_S _let_1))))))) (let ((_let_4 (tptp.tc_set tptp.t_a))) (let ((_let_5 (tptp.c_Union tptp.v_c tptp.t_a))) (let ((_let_6 (tptp.c_in _let_5 tptp.v_S _let_4))) (let ((_let_7 (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) (tptp.tc_set _let_4)))) (let ((_let_8 (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_Union V_c T_a))) (let ((_let_2 (tptp.tc_set T_a))) (or (not (tptp.c_in V_u V_S _let_2)) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set _let_2))) (not (tptp.c_lessequals _let_1 V_u _let_2)) (= _let_1 V_u))))))) (let ((_let_9 (forall ((V_u $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.c_Union V_c T_a))) (let ((_let_2 (tptp.tc_set T_a))) (or (not (tptp.c_in V_u V_S _let_2)) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set _let_2))) (not (tptp.c_lessequals _let_1 V_u _let_2)) (= V_u _let_1))))))) (let ((_let_10 (tptp.v_x _let_5))) (let ((_let_11 (= _let_5 _let_10))) (let ((_let_12 (tptp.c_lessequals _let_5 _let_10 _let_4))) (let ((_let_13 (not _let_12))) (let ((_let_14 (not _let_7))) (let ((_let_15 (tptp.c_in _let_10 tptp.v_S _let_4))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_14 _let_13 _let_11))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (not _let_17))) (let ((_let_20 (not _let_6))) (let ((_let_21 (or _let_15 _let_20))) (let ((_let_22 (_let_3))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (ASSUME :args (_let_6)))) (let ((_let_25 (or _let_12 _let_20))) (let ((_let_26 (_let_2))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (not _let_11))) (let ((_let_29 (or _let_28 _let_20))) (let ((_let_30 (_let_1))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (tptp.tc_set T_a))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_10 tptp.v_S tptp.t_a tptp.v_c QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_u V_S _let_32) false)) (not (= (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set _let_32)) false))))) :args (_let_9)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_14 _let_11 _let_13 _let_16 _let_19))) (ASSUME :args (_let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_20 _let_28 (not _let_29)))) _let_24 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_in V_U tptp.v_S _let_4) false))))) :args _let_30)) _let_31 :args (_let_29 false _let_1)) :args (_let_28 false _let_6 false _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_20 _let_12 (not _let_25)))) _let_24 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_in V_U tptp.v_S _let_4) false))))) :args _let_26)) _let_27 :args (_let_25 false _let_2)) :args (_let_12 false _let_6 false _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_15 (not _let_21)))) _let_24 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.v_x V_U)))) :args _let_22)) _let_23 :args (_let_21 false _let_3)) :args (_let_15 false _let_6 false _let_21)) :args (_let_19 false _let_7 true _let_11 false _let_12 false _let_15)) _let_18 :args (false true _let_17 false _let_9)) :args (_let_8 _let_7 _let_6 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))
% 0.19/0.50  )
% 0.19/0.51  % SZS output end Proof for SET864-2
% 0.19/0.51  % cvc5---1.0.5 exiting
% 0.19/0.51  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------