TSTP Solution File: COL098-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COL098-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n020.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 18:23:26 EDT 2023

% Result   : Unsatisfiable 0.22s 0.66s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : COL098-1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sun Aug 27 04:36:44 EDT 2023
% 0.22/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.WoyvBbinq9/cvc5---1.0.5_31456.p...
% 0.22/0.51  ------- get file name : TPTP file name is COL098-1
% 0.22/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_31456.smt2...
% 0.22/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.66  % SZS status Unsatisfiable for COL098-1
% 0.22/0.66  % SZS output start Proof for COL098-1
% 0.22/0.66  (
% 0.22/0.66  (let ((_let_1 (forall ((ZA $$unsorted)) (or (not (tptp.member (tptp.pair tptp.sk3 ZA) (tptp.trancl tptp.r))) (not (tptp.member (tptp.pair tptp.z ZA) tptp.r)))))) (let ((_let_2 (tptp.member (tptp.pair tptp.x tptp.sk3) tptp.r))) (let ((_let_3 (forall ((YP $$unsorted)) (or (not (tptp.member (tptp.pair tptp.x YP) tptp.r)) (tptp.member (tptp.pair tptp.y (tptp.sk2 YP)) tptp.r))))) (let ((_let_4 (forall ((YP $$unsorted)) (or (not (tptp.member (tptp.pair tptp.x YP) tptp.r)) (tptp.member (tptp.pair YP (tptp.sk2 YP)) (tptp.trancl tptp.r)))))) (let ((_let_5 (tptp.member (tptp.pair tptp.y tptp.z) tptp.r))) (let ((_let_6 (tptp.trancl tptp.r))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (YP $$unsorted)) (or (not (tptp.member (tptp.pair X Y) tptp.r)) (not (tptp.member (tptp.pair X YP) tptp.r)) (tptp.member (tptp.pair YP (tptp.sk1 X Y YP)) tptp.r))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (YP $$unsorted)) (or (not (tptp.member (tptp.pair X Y) tptp.r)) (not (tptp.member (tptp.pair X YP) tptp.r)) (tptp.member (tptp.pair Y (tptp.sk1 X Y YP)) tptp.r))))) (let ((_let_9 (forall ((R $$unsorted) (A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.trans R)) (not (tptp.member (tptp.pair A B) R)) (not (tptp.member (tptp.pair B C) R)) (tptp.member (tptp.pair A C) R))))) (let ((_let_10 (forall ((R $$unsorted)) (tptp.trans (tptp.trancl R))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (R $$unsorted)) (let ((_let_1 (tptp.pair A B))) (or (not (tptp.member _let_1 R)) (tptp.member _let_1 (tptp.trancl R))))))) (let ((_let_12 (tptp.sk2 tptp.sk3))) (let ((_let_13 (tptp.sk1 tptp.y tptp.z _let_12))) (let ((_let_14 (tptp.member (tptp.pair tptp.sk3 _let_13) _let_6))) (let ((_let_15 (tptp.pair _let_12 _let_13))) (let ((_let_16 (tptp.member _let_15 _let_6))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.member (tptp.pair tptp.sk3 _let_12) _let_6))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.trans _let_6))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19 _let_17 _let_14))) (let ((_let_23 (_let_9))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (not _let_22))) (let ((_let_26 (tptp.member (tptp.pair tptp.z _let_13) tptp.r))) (let ((_let_27 (not _let_26))) (let ((_let_28 (not _let_14))) (let ((_let_29 (or _let_28 _let_27))) (let ((_let_30 (_let_1))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (tptp.member (tptp.pair tptp.y _let_12) tptp.r))) (let ((_let_33 (not _let_32))) (let ((_let_34 (not _let_5))) (let ((_let_35 (or _let_34 _let_33 _let_26))) (let ((_let_36 (_let_8))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (not _let_2))) (let ((_let_39 (or _let_38 _let_32))) (let ((_let_40 (_let_3))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (ASSUME :args (_let_2)))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_32 (not _let_39)))) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.sk3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.pair tptp.x YP)))) :args _let_40)) _let_41 :args (_let_39 false _let_3)) :args (_let_32 false _let_2 false _let_39)))) (let ((_let_44 (ASSUME :args (_let_5)))) (let ((_let_45 (tptp.member _let_15 tptp.r))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_16))) (let ((_let_48 (_let_11))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (or _let_34 _let_33 _let_45))) (let ((_let_51 (_let_7))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (or _let_38 _let_18))) (let ((_let_54 (_let_4))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (_let_10))) (let ((_let_57 (ASSUME :args _let_56))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_6 tptp.sk3 _let_12 _let_13 QUANTIFIERS_INST_E_MATCHING ((tptp.pair A C) (not (= (tptp.member (tptp.pair B C) R) false))))) :args _let_23)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_19 _let_17 _let_14 _let_25))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.r QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.trancl R)))) :args _let_56)) _let_57 :args (_let_20 false _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_38 _let_18 (not _let_53)))) _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.sk3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.pair tptp.x YP)))) :args _let_54)) _let_55 :args (_let_53 false _let_4)) :args (_let_18 false _let_2 false _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_46 _let_16 (not _let_47)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_34 _let_33 _let_45 (not _let_50)))) _let_44 _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.y tptp.z _let_12 QUANTIFIERS_INST_E_MATCHING ((tptp.pair X YP) (tptp.pair X Y)))) :args _let_51)) _let_52 :args (_let_50 false _let_7)) :args (_let_45 false _let_5 false _let_32 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_12 _let_13 tptp.r QUANTIFIERS_INST_E_MATCHING ((tptp.trancl R) (tptp.pair A B)))) :args _let_48)) _let_49 :args (_let_47 false _let_11)) :args (_let_16 false _let_45 false _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_27 _let_28 (not _let_29)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_33 _let_26 (not _let_35)))) _let_44 _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.y tptp.z _let_12 QUANTIFIERS_INST_E_MATCHING ((tptp.pair X Y) (tptp.pair X YP)))) :args _let_36)) _let_37 :args (_let_35 false _let_8)) :args (_let_26 false _let_5 false _let_32 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.pair tptp.z ZA)))) :args _let_30)) _let_31 :args (_let_29 false _let_1)) :args (_let_28 false _let_26 false _let_29)) :args (_let_25 false _let_20 false _let_18 false _let_16 true _let_14)) _let_24 :args (false true _let_22 false _let_9)) :args ((not (= tptp.combK tptp.combS)) (forall ((P $$unsorted) (Q $$unsorted)) (not (= tptp.combK (tptp.comb_app P Q)))) (forall ((P $$unsorted) (Q $$unsorted)) (not (= tptp.combS (tptp.comb_app P Q)))) (forall ((P1 $$unsorted) (Q1 $$unsorted) (P2 $$unsorted) (Q2 $$unsorted)) (or (not (= (tptp.comb_app P1 Q1) (tptp.comb_app P2 Q2))) (= P1 P2))) (forall ((P1 $$unsorted) (Q1 $$unsorted) (P2 $$unsorted) (Q2 $$unsorted)) (or (not (= (tptp.comb_app P1 Q1) (tptp.comb_app P2 Q2))) (= Q1 Q2))) (forall ((P1 $$unsorted) (P2 $$unsorted) (Q1 $$unsorted) (Q2 $$unsorted)) (or (not (= P1 P2)) (not (= Q1 Q2)) (= (tptp.comb_app P1 Q1) (tptp.comb_app P2 Q2)))) _let_11 _let_10 _let_9 _let_8 _let_7 (tptp.member (tptp.pair tptp.x tptp.y) _let_6) _let_5 _let_4 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.66  )
% 0.22/0.66  % SZS output end Proof for COL098-1
% 0.22/0.67  % cvc5---1.0.5 exiting
% 0.22/0.67  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------