TSTP Solution File: SET822-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET822-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n013.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 14:40:29 EDT 2023

% Result   : Unsatisfiable 0.21s 0.53s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SET822-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Aug 26 16:31:47 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.kSUCNXDXs7/cvc5---1.0.5_8424.p...
% 0.21/0.49  ------- get file name : TPTP file name is SET822-2
% 0.21/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_8424.smt2...
% 0.21/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53  % SZS status Unsatisfiable for SET822-2
% 0.21/0.53  % SZS output start Proof for SET822-2
% 0.21/0.53  (
% 0.21/0.53  (let ((_let_1 (forall ((V_U $$unsorted) (V_V $$unsorted)) (or (not (tptp.c_in (tptp.v_f V_U) V_V tptp.tc_IntDef_Oint)) (not (tptp.v_P (tptp.v_x V_U V_V))))))) (let ((_let_2 (forall ((V_U $$unsorted) (V_V $$unsorted)) (or (not (tptp.c_in (tptp.v_f V_U) V_V tptp.tc_IntDef_Oint)) (tptp.c_in (tptp.v_x V_U V_V) V_V tptp.tc_IntDef_Oint))))) (let ((_let_3 (tptp.v_f tptp.v_b))) (let ((_let_4 (tptp.v_P _let_3))) (let ((_let_5 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_a (tptp.c_insert V_b V_A T_a) T_a)) (tptp.c_in V_a V_A T_a) (= V_a V_b))))) (let ((_let_6 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_insert V_x V_B T_a) T_a)))) (let ((_let_7 (forall ((V_a $$unsorted) (T_a $$unsorted)) (not (tptp.c_in V_a tptp.c_emptyset T_a))))) (let ((_let_8 (tptp.c_insert _let_3 tptp.c_emptyset tptp.tc_IntDef_Oint))) (let ((_let_9 (tptp.v_x tptp.v_b _let_8))) (let ((_let_10 (tptp.c_in _let_9 tptp.c_emptyset tptp.tc_IntDef_Oint))) (let ((_let_11 (_let_7))) (let ((_let_12 (ASSUME :args _let_11))) (let ((_let_13 (= _let_3 _let_9))) (let ((_let_14 (tptp.c_in _let_9 _let_8 tptp.tc_IntDef_Oint))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_10 _let_13))) (let ((_let_17 (_let_5))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 (tptp.v_P _let_9))) (let ((_let_20 (not _let_13))) (let ((_let_21 (not _let_19))) (let ((_let_22 (tptp.c_in _let_3 _let_8 tptp.tc_IntDef_Oint))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_21))) (let ((_let_25 (_let_1))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 (_let_6))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_3 tptp.c_emptyset tptp.tc_IntDef_Oint QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_insert V_x V_B T_a)))) :args _let_27)) _let_28 :args (_let_22 false _let_6)))) (let ((_let_30 (ASSUME :args (_let_4)))) (let ((_let_31 (ASSUME :args (_let_13)))) (let ((_let_32 (ASSUME :args (_let_21)))) (let ((_let_33 (or _let_23 _let_14))) (let ((_let_34 (_let_2))) (let ((_let_35 (ASSUME :args _let_34))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (_let_9 tptp.tc_IntDef_Oint QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_in V_a tptp.c_emptyset T_a) false))))) :args _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_15 _let_10 _let_13 (not _let_16)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_23 _let_14 (not _let_33)))) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.v_b _let_8 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.v_f V_U) V_V tptp.tc_IntDef_Oint) false))))) :args _let_34)) _let_35 :args (_let_33 false _let_2)) :args (_let_14 false _let_22 false _let_33)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_30 _let_31 _let_32) :args (_let_4 _let_21 _let_13)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_32)) (CONG (SYMM _let_31) :args (APPLY_UF tptp.v_P)) (TRUE_INTRO _let_30))) :args (_let_4 _let_13 _let_21)) :args ((not (and _let_4 _let_21 _let_13)) SB_LITERAL))) (CONG (REFL :args ((not _let_4))) (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_19))) (REFL :args (_let_20)) :args (or))) _let_30 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_21 (not _let_24)))) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.v_b _let_8 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.v_f V_U) V_V tptp.tc_IntDef_Oint) false))))) :args _let_25)) _let_26 :args (_let_24 false _let_1)) :args (_let_21 false _let_22 false _let_24)) :args (_let_20 false _let_4 true _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_9 _let_3 tptp.c_emptyset tptp.tc_IntDef_Oint QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_a (tptp.c_insert V_b V_A T_a) T_a) false))))) :args _let_17))) _let_18 :args (_let_16 false _let_5)) :args (_let_10 false _let_14 true _let_13 false _let_16)) _let_12 :args (false false _let_10 false _let_7)) :args (_let_7 _let_6 _let_5 _let_4 _let_2 _let_1))))))))))))))))))))))))))))))))))))))
% 0.21/0.53  )
% 0.21/0.53  % SZS output end Proof for SET822-2
% 0.21/0.54  % cvc5---1.0.5 exiting
% 0.21/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------