TSTP Solution File: LAT259-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : LAT259-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n004.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 06:03:23 EDT 2023

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : LAT259-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n004.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   : Thu Aug 24 09:40:38 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ienBIVmdiD/cvc5---1.0.5_27117.p...
% 0.20/0.49  ------- get file name : TPTP file name is LAT259-2
% 0.20/0.49  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_27117.smt2...
% 0.20/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.51  % SZS status Unsatisfiable for LAT259-2
% 0.20/0.51  % SZS output start Proof for LAT259-2
% 0.20/0.51  (
% 0.20/0.51  (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_Oantisym (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 $$unsorted) (V_U $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (not (tptp.c_Relation_Oantisym V_r T_a)) (not (tptp.c_in (tptp.c_Pair V_V V_U 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)) (= V_U V_V)))))) (let ((_let_6 (= tptp.v_a tptp.v_b))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.tc_prod tptp.t_a tptp.t_a))) (let ((_let_9 (tptp.c_in (tptp.c_Pair tptp.v_b tptp.v_a tptp.t_a tptp.t_a) tptp.v_r _let_8))) (let ((_let_10 (tptp.c_in (tptp.c_Pair tptp.v_a tptp.v_b tptp.t_a tptp.t_a) tptp.v_r _let_8))) (let ((_let_11 (tptp.c_Relation_Oantisym tptp.v_r tptp.t_a))) (let ((_let_12 (tptp.c_Relation_Oantisym _let_1 tptp.t_a))) (let ((_let_13 (ASSUME :args (_let_2)))) (let ((_let_14 (not _let_9))) (let ((_let_15 (not _let_10))) (let ((_let_16 (not _let_11))) (let ((_let_17 (or _let_16 _let_15 _let_14 _let_6))) (let ((_let_18 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_V $$unsorted) (V_U $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (not (tptp.c_Relation_Oantisym V_r T_a)) (not (tptp.c_in (tptp.c_Pair V_V V_U 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)) (= V_V V_U)))))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (not _let_3))) (let ((_let_21 (or _let_20 _let_12))) (let ((_let_22 (_let_4))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (and _let_2 _let_16))) (let ((_let_25 (ASSUME :args (_let_16)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_24)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_25 _let_13) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_13) (REFL :args (tptp.t_a)) :args (APPLY_UF tptp.c_Relation_Oantisym)) (FALSE_INTRO _let_25))) :args (_let_16 _let_2))) :args (_let_2 _let_16))) :args (true _let_24)) (CONG (REFL :args ((not _let_2))) (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_11))) (REFL :args ((not _let_12))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_12 (not _let_21)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :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_22)) _let_23 :args (_let_21 false _let_4)) :args (_let_12 false _let_3 false _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_6 _let_15 _let_14 _let_16 (not _let_17)))) (ASSUME :args (_let_7)) (ASSUME :args (_let_10)) (ASSUME :args (_let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.v_r tptp.t_a tptp.v_a tptp.v_b QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_Pair V_V V_U T_a T_a) V_r (tptp.tc_prod T_a T_a)) false))))) :args (_let_18))) _let_19 :args (_let_17 false _let_18)) :args (_let_16 true _let_6 false _let_10 false _let_9 false _let_17)) _let_13 :args (false false _let_12 true _let_11 false _let_2)) :args (_let_10 _let_9 _let_7 _let_5 _let_4 _let_3 _let_2))))))))))))))))))))))))))))
% 0.20/0.51  )
% 0.20/0.51  % SZS output end Proof for LAT259-2
% 0.20/0.51  % cvc5---1.0.5 exiting
% 0.20/0.52  % cvc5---1.0.5 exiting
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