TSTP Solution File: COL123-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COL123-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n025.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 : Wed Aug 30 18:23:36 EDT 2023

% Result   : Unsatisfiable 0.20s 0.68s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : COL123-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n025.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   : Sun Aug 27 04:47:38 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.BqZVgXOOXP/cvc5---1.0.5_23425.p...
% 0.20/0.49  ------- get file name : TPTP file name is COL123-2
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_23425.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.68  % SZS status Unsatisfiable for COL123-2
% 0.20/0.68  % SZS output start Proof for COL123-2
% 0.20/0.68  (
% 0.20/0.68  (let ((_let_1 (forall ((V_W $$unsorted) (V_U $$unsorted) (V_V $$unsorted)) (let ((_let_1 (tptp.tc_prod tptp.t_a tptp.t_a))) (or (tptp.c_in (tptp.c_Pair V_W (tptp.v_xa V_U V_V V_W) tptp.t_a tptp.t_a) tptp.v_r _let_1) (not (tptp.c_in (tptp.c_Pair V_U V_W tptp.t_a tptp.t_a) tptp.v_r _let_1)) (not (tptp.c_in (tptp.c_Pair V_U V_V tptp.t_a tptp.t_a) tptp.v_r _let_1))))))) (let ((_let_2 (forall ((V_V $$unsorted) (V_U $$unsorted) (V_W $$unsorted)) (let ((_let_1 (tptp.tc_prod tptp.t_a tptp.t_a))) (or (tptp.c_in (tptp.c_Pair V_V (tptp.v_xa V_U V_V V_W) tptp.t_a tptp.t_a) tptp.v_r _let_1) (not (tptp.c_in (tptp.c_Pair V_U V_W tptp.t_a tptp.t_a) tptp.v_r _let_1)) (not (tptp.c_in (tptp.c_Pair V_U V_V tptp.t_a tptp.t_a) tptp.v_r _let_1))))))) (let ((_let_3 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_prod tptp.t_a tptp.t_a))) (or (not (tptp.c_in (tptp.c_Pair tptp.v_z V_U tptp.t_a tptp.t_a) tptp.v_r _let_1)) (not (tptp.c_in (tptp.c_Pair tptp.v_xb V_U tptp.t_a tptp.t_a) (tptp.c_Transitive__Closure_Ortrancl tptp.v_r tptp.t_a) _let_1))))))) (let ((_let_4 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_prod tptp.t_a tptp.t_a))) (or (tptp.c_in (tptp.c_Pair tptp.v_y (tptp.v_xaa V_U) tptp.t_a tptp.t_a) tptp.v_r _let_1) (not (tptp.c_in (tptp.c_Pair tptp.v_x V_U tptp.t_a tptp.t_a) tptp.v_r _let_1))))))) (let ((_let_5 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_prod tptp.t_a tptp.t_a))) (or (tptp.c_in (tptp.c_Pair V_U (tptp.v_xaa V_U) tptp.t_a tptp.t_a) (tptp.c_Transitive__Closure_Ortrancl tptp.v_r tptp.t_a) _let_1) (not (tptp.c_in (tptp.c_Pair tptp.v_x V_U tptp.t_a tptp.t_a) tptp.v_r _let_1))))))) (let ((_let_6 (tptp.tc_prod tptp.t_a tptp.t_a))) (let ((_let_7 (tptp.c_in (tptp.c_Pair tptp.v_x tptp.v_xb tptp.t_a tptp.t_a) tptp.v_r _let_6))) (let ((_let_8 (tptp.c_in (tptp.c_Pair tptp.v_y tptp.v_z tptp.t_a tptp.t_a) tptp.v_r _let_6))) (let ((_let_9 (forall ((V_b $$unsorted) (V_c $$unsorted) (T_a $$unsorted) (V_r $$unsorted) (V_a $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (or (not (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) _let_2 _let_1)) (not (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) _let_2 _let_1)) (tptp.c_in (tptp.c_Pair V_a V_c T_a T_a) _let_2 _let_1))))))) (let ((_let_10 (forall ((V_p $$unsorted) (V_r $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (not (tptp.c_in V_p V_r _let_1)) (tptp.c_in V_p (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1)))))) (let ((_let_11 (tptp.c_Transitive__Closure_Ortrancl tptp.v_r tptp.t_a))) (let ((_let_12 (tptp.v_xaa tptp.v_xb))) (let ((_let_13 (tptp.v_xa tptp.v_y tptp.v_z _let_12))) (let ((_let_14 (tptp.c_Pair _let_12 _let_13 tptp.t_a tptp.t_a))) (let ((_let_15 (tptp.c_in _let_14 _let_11 _let_6))) (let ((_let_16 (tptp.c_in _let_14 tptp.v_r _let_6))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15))) (let ((_let_19 (_let_10))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 (not _let_18))) (let ((_let_22 (tptp.c_in (tptp.c_Pair tptp.v_xb _let_13 tptp.t_a tptp.t_a) _let_11 _let_6))) (let ((_let_23 (tptp.c_in (tptp.c_Pair tptp.v_xb _let_12 tptp.t_a tptp.t_a) _let_11 _let_6))) (let ((_let_24 (not _let_23))) (let ((_let_25 (not _let_15))) (let ((_let_26 (or _let_25 _let_24 _let_22))) (let ((_let_27 (_let_9))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (not _let_22))) (let ((_let_30 (tptp.c_in (tptp.c_Pair tptp.v_z _let_13 tptp.t_a tptp.t_a) tptp.v_r _let_6))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_29))) (let ((_let_33 (_let_3))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (not _let_8))) (let ((_let_36 (tptp.c_in (tptp.c_Pair tptp.v_y _let_12 tptp.t_a tptp.t_a) tptp.v_r _let_6))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_30 _let_37 _let_35))) (let ((_let_39 (_let_2))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (not _let_7))) (let ((_let_42 (or _let_36 _let_41))) (let ((_let_43 (_let_4))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (ASSUME :args (_let_7)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_41 _let_36 (not _let_42)))) _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.v_xb QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Pair tptp.v_x V_U tptp.t_a tptp.t_a)))) :args _let_43)) _let_44 :args (_let_42 false _let_4)) :args (_let_36 false _let_7 false _let_42)))) (let ((_let_47 (ASSUME :args (_let_8)))) (let ((_let_48 (or _let_23 _let_41))) (let ((_let_49 (_let_5))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (or _let_16 _let_37 _let_35))) (let ((_let_52 (_let_1))) (let ((_let_53 (ASSUME :args _let_52))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (_let_14 tptp.v_r tptp.t_a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_p (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a)) true))))) :args _let_19)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_17 _let_15 _let_21))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_35 _let_37 _let_16 (not _let_51)))) _let_47 _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_12 tptp.v_y tptp.v_z QUANTIFIERS_INST_E_MATCHING ((tptp.c_Pair V_U V_W tptp.t_a tptp.t_a) (tptp.c_Pair V_U V_V tptp.t_a tptp.t_a)))) :args _let_52)) _let_53 :args (_let_51 false _let_1)) :args (_let_16 false _let_8 false _let_36 false _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_24 _let_22 _let_25 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_41 _let_23 (not _let_48)))) _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.v_xb QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Pair tptp.v_x V_U tptp.t_a tptp.t_a)))) :args _let_49)) _let_50 :args (_let_48 false _let_5)) :args (_let_23 false _let_7 false _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_31 _let_29 (not _let_32)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_35 _let_37 _let_30 (not _let_38)))) _let_47 _let_46 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.v_z tptp.v_y _let_12 QUANTIFIERS_INST_E_MATCHING ((tptp.c_Pair V_U V_W tptp.t_a tptp.t_a) (tptp.c_Pair V_U V_V tptp.t_a tptp.t_a)))) :args _let_39)) _let_40 :args (_let_38 false _let_2)) :args (_let_30 false _let_8 false _let_36 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Pair tptp.v_z V_U tptp.t_a tptp.t_a)))) :args _let_33)) _let_34 :args (_let_32 false _let_3)) :args (_let_29 false _let_30 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_12 _let_13 tptp.t_a tptp.v_r tptp.v_xb QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) (tptp.tc_prod T_a T_a)) false)) (tptp.c_Pair V_a V_c T_a T_a)))) :args _let_27)) _let_28 :args (_let_26 false _let_9)) :args (_let_25 false _let_23 true _let_22 false _let_26)) :args (_let_21 false _let_16 true _let_15)) _let_20 :args (false true _let_18 false _let_10)) :args (_let_10 _let_9 _let_8 _let_7 _let_5 _let_4 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.68  )
% 0.20/0.68  % SZS output end Proof for COL123-2
% 0.20/0.69  % cvc5---1.0.5 exiting
% 0.20/0.69  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------