TSTP Solution File: COL121-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COL121-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.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 18:23:35 EDT 2023
% Result : Unsatisfiable 0.21s 0.58s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : COL121-2 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 05:17:53 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.CbZVpmbvTV/cvc5---1.0.5_30877.p...
% 0.21/0.49 ------- get file name : TPTP file name is COL121-2
% 0.21/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30877.smt2...
% 0.21/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.58 % SZS status Unsatisfiable for COL121-2
% 0.21/0.58 % SZS output start Proof for COL121-2
% 0.21/0.58 (
% 0.21/0.58 (let ((_let_1 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_prod tptp.t_a tptp.t_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl tptp.v_r tptp.t_a))) (or (not (tptp.c_in (tptp.c_Pair tptp.v_xaa V_U tptp.t_a tptp.t_a) _let_2 _let_1)) (not (tptp.c_in (tptp.c_Pair tptp.v_z V_U tptp.t_a tptp.t_a) _let_2 _let_1)))))))) (let ((_let_2 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_prod tptp.t_a tptp.t_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl tptp.v_r tptp.t_a))) (or (tptp.c_in (tptp.c_Pair V_U (tptp.v_x V_U) tptp.t_a tptp.t_a) _let_2 _let_1) (not (tptp.c_in (tptp.c_Pair tptp.v_y V_U tptp.t_a tptp.t_a) _let_2 _let_1)))))))) (let ((_let_3 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_prod tptp.t_a tptp.t_a))) (let ((_let_2 (tptp.c_Transitive__Closure_Ortrancl tptp.v_r tptp.t_a))) (or (tptp.c_in (tptp.c_Pair tptp.v_ya (tptp.v_x V_U) tptp.t_a tptp.t_a) _let_2 _let_1) (not (tptp.c_in (tptp.c_Pair tptp.v_y V_U tptp.t_a tptp.t_a) _let_2 _let_1)))))))) (let ((_let_4 (tptp.tc_prod tptp.t_a tptp.t_a))) (let ((_let_5 (tptp.c_Transitive__Closure_Ortrancl tptp.v_r tptp.t_a))) (let ((_let_6 (tptp.c_in (tptp.c_Pair tptp.v_y tptp.v_xaa tptp.t_a tptp.t_a) _let_5 _let_4))) (let ((_let_7 (tptp.c_in (tptp.c_Pair tptp.v_ya tptp.v_z tptp.t_a tptp.t_a) tptp.v_r _let_4))) (let ((_let_8 (tptp.c_Comb_Odiamond tptp.v_r tptp.t_a))) (let ((_let_9 (forall ((V_b $$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 $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (not (tptp.c_in V_p V_r _let_1)) (tptp.c_in V_p (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1)))))) (let ((_let_11 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_y_H $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.tc_prod T_a T_a))) (or (not (tptp.c_Comb_Odiamond V_r T_a)) (not (tptp.c_in (tptp.c_Pair V_x V_y_H T_a T_a) V_r _let_1)) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) (tptp.c_Transitive__Closure_Ortrancl V_r T_a) _let_1)) (tptp.c_in (tptp.c_Pair V_y (tptp.c_Comb_Odiamond__strip__lemmaE__1 V_r V_y V_y_H T_a) T_a T_a) V_r _let_1)))))) (let ((_let_12 (forall ((V_r $$unsorted) (T_a $$unsorted) (V_x $$unsorted) (V_y_H $$unsorted) (V_y $$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_Comb_Odiamond V_r T_a)) (not (tptp.c_in (tptp.c_Pair V_x V_y_H T_a T_a) V_r _let_1)) (not (tptp.c_in (tptp.c_Pair V_x V_y T_a T_a) _let_2 _let_1)) (tptp.c_in (tptp.c_Pair V_y_H (tptp.c_Comb_Odiamond__strip__lemmaE__1 V_r V_y V_y_H T_a) T_a T_a) _let_2 _let_1))))))) (let ((_let_13 (tptp.v_x tptp.v_xaa))) (let ((_let_14 (tptp.c_Comb_Odiamond__strip__lemmaE__1 tptp.v_r _let_13 tptp.v_z tptp.t_a))) (let ((_let_15 (tptp.c_in (tptp.c_Pair tptp.v_xaa _let_14 tptp.t_a tptp.t_a) _let_5 _let_4))) (let ((_let_16 (tptp.c_in (tptp.c_Pair tptp.v_xaa _let_13 tptp.t_a tptp.t_a) _let_5 _let_4))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.c_Pair _let_13 _let_14 tptp.t_a tptp.t_a))) (let ((_let_19 (tptp.c_in _let_18 _let_5 _let_4))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_17 _let_15))) (let ((_let_22 (_let_9))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (not _let_21))) (let ((_let_25 (tptp.c_in _let_18 tptp.v_r _let_4))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_19))) (let ((_let_28 (_let_10))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (tptp.c_in (tptp.c_Pair tptp.v_ya _let_13 tptp.t_a tptp.t_a) _let_5 _let_4))) (let ((_let_31 (not _let_30))) (let ((_let_32 (not _let_7))) (let ((_let_33 (not _let_8))) (let ((_let_34 (or _let_33 _let_32 _let_31 _let_25))) (let ((_let_35 (_let_11))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (not _let_6))) (let ((_let_38 (or _let_30 _let_37))) (let ((_let_39 (_let_3))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (ASSUME :args (_let_6)))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_30 (not _let_38)))) _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.v_xaa QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Pair tptp.v_y V_U tptp.t_a tptp.t_a)))) :args _let_39)) _let_40 :args (_let_38 false _let_3)) :args (_let_30 false _let_6 false _let_38)))) (let ((_let_43 (ASSUME :args (_let_7)))) (let ((_let_44 (ASSUME :args (_let_8)))) (let ((_let_45 (tptp.c_in (tptp.c_Pair tptp.v_z _let_14 tptp.t_a tptp.t_a) _let_5 _let_4))) (let ((_let_46 (not _let_45))) (let ((_let_47 (not _let_15))) (let ((_let_48 (or _let_47 _let_46))) (let ((_let_49 (_let_1))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (or _let_33 _let_32 _let_31 _let_45))) (let ((_let_52 (_let_12))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 (or _let_16 _let_37))) (let ((_let_55 (_let_2))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (tptp.tc_prod T_a T_a))) (let ((_let_58 (tptp.c_Transitive__Closure_Ortrancl V_r T_a))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_13 _let_14 tptp.t_a tptp.v_r tptp.v_xaa QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_Pair V_b V_c T_a T_a) _let_58 _let_57) false)) (not (= (tptp.c_in (tptp.c_Pair V_a V_b T_a T_a) _let_58 _let_57) false))))) :args _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_17 _let_15 _let_20 _let_24))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_37 _let_16 (not _let_54)))) _let_41 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.v_xaa QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Pair tptp.v_y V_U tptp.t_a tptp.t_a)))) :args _let_55)) _let_56 :args (_let_54 false _let_2)) :args (_let_16 false _let_6 false _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_46 _let_47 (not _let_48)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_33 _let_32 _let_31 _let_45 (not _let_51)))) _let_44 _let_43 _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (tptp.v_r tptp.t_a tptp.v_ya tptp.v_z _let_13 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_Comb_Odiamond V_r T_a) false)) (tptp.c_Pair V_x V_y_H T_a T_a) (tptp.c_Pair V_x V_y T_a T_a)))) :args _let_52)) _let_53 :args (_let_51 false _let_12)) :args (_let_45 false _let_8 false _let_7 false _let_30 false _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Pair tptp.v_z V_U tptp.t_a tptp.t_a)))) :args _let_49)) _let_50 :args (_let_48 false _let_1)) :args (_let_47 false _let_45 false _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_26 _let_19 (not _let_27)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_32 _let_31 _let_25 (not _let_34)))) _let_44 _let_43 _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.v_r tptp.t_a tptp.v_ya tptp.v_z _let_13 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_Comb_Odiamond V_r T_a) false)) (tptp.c_Pair V_x V_y_H T_a T_a) (tptp.c_Pair V_x V_y T_a T_a)))) :args _let_35)) _let_36 :args (_let_34 false _let_11)) :args (_let_25 false _let_8 false _let_7 false _let_30 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_18 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_28)) _let_29 :args (_let_27 false _let_10)) :args (_let_19 false _let_25 false _let_27)) :args (_let_24 false _let_16 true _let_15 false _let_19)) _let_23 :args (false true _let_21 false _let_9)) :args (_let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.58 )
% 0.21/0.58 % SZS output end Proof for COL121-2
% 0.21/0.58 % cvc5---1.0.5 exiting
% 0.21/0.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------