TSTP Solution File: LAT281-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT281-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n015.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 06:03:34 EDT 2023

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LAT281-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Thu Aug 24 06:09:50 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.47  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.orG0NTHngH/cvc5---1.0.5_4714.p...
% 0.20/0.48  ------- get file name : TPTP file name is LAT281-2
% 0.20/0.48  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4714.smt2...
% 0.20/0.48  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.50  % SZS status Unsatisfiable for LAT281-2
% 0.20/0.50  % SZS output start Proof for LAT281-2
% 0.20/0.50  (
% 0.20/0.50  (let ((_let_1 (tptp.c_Tarski_Opotype_Oorder tptp.v_cl tptp.t_a tptp.tc_Product__Type_Ounit))) (let ((_let_2 (= tptp.v_r _let_1))) (let ((_let_3 (tptp.c_in tptp.v_cl tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type tptp.t_a tptp.tc_Product__Type_Ounit)))) (let ((_let_4 (forall ((V_P $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_P tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit))) (tptp.c_Relation_Otrans (tptp.c_Tarski_Opotype_Oorder V_P T_a tptp.tc_Product__Type_Ounit) T_a))))) (let ((_let_5 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_V $$unsorted) (V_W $$unsorted) (V_U $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (not (tptp.c_Relation_Otrans V_r T_a)) (not (tptp.c_in (tptp.c_Pair V_V V_W T_a T_a) V_r _let_1)) (not (tptp.c_in (tptp.c_Pair V_U V_V T_a T_a) V_r _let_1)) (tptp.c_in (tptp.c_Pair V_U V_W T_a T_a) V_r _let_1)))))) (let ((_let_6 (tptp.tc_prod tptp.t_a tptp.t_a))) (let ((_let_7 (tptp.c_Pair tptp.v_a tptp.v_c tptp.t_a tptp.t_a))) (let ((_let_8 (tptp.c_in _let_7 tptp.v_r _let_6))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.c_Pair tptp.v_b tptp.v_c tptp.t_a tptp.t_a))) (let ((_let_11 (tptp.c_in _let_10 tptp.v_r _let_6))) (let ((_let_12 (tptp.c_Pair tptp.v_a tptp.v_b tptp.t_a tptp.t_a))) (let ((_let_13 (tptp.c_in _let_12 tptp.v_r _let_6))) (let ((_let_14 (tptp.c_in _let_7 _let_1 _let_6))) (let ((_let_15 (tptp.c_in _let_12 _let_1 _let_6))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.c_in _let_10 _let_1 _let_6))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.c_Relation_Otrans _let_1 tptp.t_a))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18 _let_16 _let_14))) (let ((_let_22 (_let_5))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (not _let_21))) (let ((_let_25 (not _let_14))) (let ((_let_26 (ASSUME :args (_let_2)))) (let ((_let_27 (ASSUME :args (_let_9)))) (let ((_let_28 (and _let_9 _let_2))) (let ((_let_29 (_let_9 _let_2))) (let ((_let_30 (APPLY_UF tptp.c_in))) (let ((_let_31 (REFL :args (_let_6)))) (let ((_let_32 (SYMM _let_26))) (let ((_let_33 (ASSUME :args (_let_13)))) (let ((_let_34 (and _let_13 _let_2))) (let ((_let_35 (_let_13 _let_2))) (let ((_let_36 (ASSUME :args (_let_11)))) (let ((_let_37 (and _let_11 _let_2))) (let ((_let_38 (_let_11 _let_2))) (let ((_let_39 (not _let_3))) (let ((_let_40 (or _let_39 _let_19))) (let ((_let_41 (_let_4))) (let ((_let_42 (ASSUME :args _let_41))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_1 tptp.t_a tptp.v_b tptp.v_c tptp.v_a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_Relation_Otrans V_r T_a) false)) (tptp.c_Pair V_V V_W T_a T_a) (tptp.c_Pair V_U V_V T_a T_a)))) :args _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_18 _let_16 _let_14 _let_24))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_19 (not _let_40)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.v_cl tptp.t_a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_P tptp.c_Tarski_OPartialOrder (tptp.tc_Tarski_Opotype_Opotype__ext__type T_a tptp.tc_Product__Type_Ounit)) false))))) :args _let_41)) _let_42 :args (_let_40 false _let_4)) :args (_let_19 false _let_3 false _let_40)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_37)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_36 _let_26) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_10)) _let_32 _let_31 :args _let_30) (TRUE_INTRO _let_36))) :args _let_38)) :args _let_38)) :args (true _let_37)) _let_36 _let_26 :args (_let_17 false _let_11 false _let_2)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_34)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_33 _let_26) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_12)) _let_32 _let_31 :args _let_30) (TRUE_INTRO _let_33))) :args _let_35)) :args _let_35)) :args (true _let_34)) _let_33 _let_26 :args (_let_15 false _let_13 false _let_2)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_28)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_27 _let_26) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (_let_7)) _let_32 _let_31 :args _let_30) (FALSE_INTRO _let_27))) :args _let_29)) :args _let_29)) :args (true _let_28)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) (REFL :args ((not _let_2))) (REFL :args (_let_25)) :args (or))) _let_27 _let_26 :args (_let_25 true _let_8 false _let_2)) :args (_let_24 false _let_19 false _let_17 false _let_15 true _let_14)) _let_23 :args (false true _let_21 false _let_5)) :args (_let_13 _let_11 _let_9 _let_5 _let_4 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.50  )
% 0.20/0.50  % SZS output end Proof for LAT281-2
% 0.20/0.51  % cvc5---1.0.5 exiting
% 0.20/0.51  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------