TSTP Solution File: COL100-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COL100-1 : TPTP v8.1.2. Released v2.7.0.
% 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 : Wed Aug 30 18:23:27 EDT 2023

% Result   : Unsatisfiable 0.20s 0.59s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : COL100-1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun Aug 27 04:29:23 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.KVxxF5GQBu/cvc5---1.0.5_6264.p...
% 0.20/0.50  ------- get file name : TPTP file name is COL100-1
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6264.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.59  % SZS status Unsatisfiable for COL100-1
% 0.20/0.59  % SZS output start Proof for COL100-1
% 0.20/0.59  (
% 0.20/0.59  (let ((_let_1 (forall ((ZA $$unsorted)) (let ((_let_1 (tptp.trancl tptp.r))) (or (not (tptp.member (tptp.pair tptp.z ZA) _let_1)) (not (tptp.member (tptp.pair tptp.yp ZA) _let_1))))))) (let ((_let_2 (tptp.trancl tptp.r))) (let ((_let_3 (tptp.member (tptp.pair tptp.y tptp.yp) _let_2))) (let ((_let_4 (forall ((YP $$unsorted)) (let ((_let_1 (tptp.trancl tptp.r))) (or (not (tptp.member (tptp.pair tptp.y YP) _let_1)) (tptp.member (tptp.pair YP (tptp.sk1 YP)) _let_1)))))) (let ((_let_5 (forall ((YP $$unsorted)) (let ((_let_1 (tptp.trancl tptp.r))) (or (not (tptp.member (tptp.pair tptp.y YP) _let_1)) (tptp.member (tptp.pair tptp.ya (tptp.sk1 YP)) _let_1)))))) (let ((_let_6 (tptp.member (tptp.pair tptp.ya tptp.z) tptp.r))) (let ((_let_7 (tptp.diamond tptp.r))) (let ((_let_8 (forall ((R $$unsorted) (X $$unsorted) (Y $$unsorted) (YP $$unsorted)) (or (not (tptp.diamond R)) (not (tptp.member (tptp.pair X Y) (tptp.trancl R))) (not (tptp.member (tptp.pair X YP) R)) (tptp.member (tptp.pair Y (tptp.diamond_strip_lemmaD_sk1 X Y YP R)) R))))) (let ((_let_9 (forall ((R $$unsorted) (X $$unsorted) (Y $$unsorted) (YP $$unsorted)) (let ((_let_1 (tptp.trancl R))) (or (not (tptp.diamond R)) (not (tptp.member (tptp.pair X Y) _let_1)) (not (tptp.member (tptp.pair X YP) R)) (tptp.member (tptp.pair YP (tptp.diamond_strip_lemmaD_sk1 X Y YP R)) _let_1)))))) (let ((_let_10 (forall ((R $$unsorted) (A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.trans R)) (not (tptp.member (tptp.pair A B) R)) (not (tptp.member (tptp.pair B C) R)) (tptp.member (tptp.pair A C) R))))) (let ((_let_11 (forall ((R $$unsorted)) (tptp.trans (tptp.trancl R))))) (let ((_let_12 (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_13 (tptp.sk1 tptp.yp))) (let ((_let_14 (tptp.diamond_strip_lemmaD_sk1 tptp.ya _let_13 tptp.z tptp.r))) (let ((_let_15 (tptp.member (tptp.pair tptp.yp _let_14) _let_2))) (let ((_let_16 (tptp.pair _let_13 _let_14))) (let ((_let_17 (tptp.member _let_16 _let_2))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.member (tptp.pair tptp.yp _let_13) _let_2))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.trans _let_2))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20 _let_18 _let_15))) (let ((_let_24 (_let_10))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (not _let_23))) (let ((_let_27 (tptp.member _let_16 tptp.r))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_17))) (let ((_let_30 (_let_12))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (not _let_6))) (let ((_let_33 (tptp.member (tptp.pair tptp.ya _let_13) _let_2))) (let ((_let_34 (not _let_33))) (let ((_let_35 (not _let_7))) (let ((_let_36 (or _let_35 _let_34 _let_32 _let_27))) (let ((_let_37 (_let_8))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (not _let_3))) (let ((_let_40 (or _let_39 _let_33))) (let ((_let_41 (_let_5))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (ASSUME :args (_let_3)))) (let ((_let_44 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_33 (not _let_40)))) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.yp QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.pair tptp.y YP)))) :args _let_41)) _let_42 :args (_let_40 false _let_5)) :args (_let_33 false _let_3 false _let_40)))) (let ((_let_45 (ASSUME :args (_let_6)))) (let ((_let_46 (ASSUME :args (_let_7)))) (let ((_let_47 (not _let_15))) (let ((_let_48 (tptp.member (tptp.pair tptp.z _let_14) _let_2))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_47))) (let ((_let_51 (_let_1))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (or _let_35 _let_34 _let_32 _let_48))) (let ((_let_54 (_let_9))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (or _let_39 _let_19))) (let ((_let_57 (_let_4))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 (_let_11))) (let ((_let_60 (ASSUME :args _let_59))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_2 tptp.yp _let_13 _let_14 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member (tptp.pair B C) R) false)) (tptp.pair A C)))) :args _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_22 _let_20 _let_15 _let_18 _let_26))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.r QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.trancl R)))) :args _let_59)) _let_60 :args (_let_21 false _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_39 _let_19 (not _let_56)))) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.yp QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.pair tptp.y YP)))) :args _let_57)) _let_58 :args (_let_56 false _let_4)) :args (_let_19 false _let_3 false _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_49 _let_47 (not _let_50)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_35 _let_32 _let_34 _let_48 (not _let_53)))) _let_46 _let_45 _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.r tptp.ya _let_13 tptp.z QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member (tptp.pair X Y) (tptp.trancl R)) false)) (not (= (tptp.member (tptp.pair X YP) R) false))))) :args _let_54)) _let_55 :args (_let_53 false _let_9)) :args (_let_48 false _let_7 false _let_6 false _let_33 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.pair tptp.z ZA)))) :args _let_51)) _let_52 :args (_let_50 false _let_1)) :args (_let_47 false _let_48 false _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_17 (not _let_29)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_35 _let_32 _let_34 _let_27 (not _let_36)))) _let_46 _let_45 _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.r tptp.ya _let_13 tptp.z QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member (tptp.pair X Y) (tptp.trancl R)) false)) (not (= (tptp.member (tptp.pair X YP) R) false))))) :args _let_37)) _let_38 :args (_let_36 false _let_8)) :args (_let_27 false _let_7 false _let_6 false _let_33 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_13 _let_14 tptp.r QUANTIFIERS_INST_E_MATCHING ((tptp.trancl R) (tptp.pair A B)))) :args _let_30)) _let_31 :args (_let_29 false _let_12)) :args (_let_17 false _let_27 false _let_29)) :args (_let_26 false _let_21 false _let_19 true _let_15 false _let_17)) _let_25 :args (false true _let_23 false _let_10)) :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_12 _let_11 _let_10 _let_9 _let_8 _let_7 (tptp.member (tptp.pair tptp.y tptp.ya) _let_2) _let_6 _let_5 _let_4 _let_3 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.59  )
% 0.20/0.60  % SZS output end Proof for COL100-1
% 0.20/0.60  % cvc5---1.0.5 exiting
% 0.20/0.60  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------