%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COL091-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n021.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 18:23:23 EDT 2023

% Result   : Unsatisfiable 1.15s 1.35s
% Output   : Proof 1.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : COL091-1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.18/0.34  % Computer : n021.cluster.edu
% 0.18/0.34  % Model    : x86_64 x86_64
% 0.18/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34  % Memory   : 8042.1875MB
% 0.18/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34  % CPULimit   : 300
% 0.18/0.34  % WCLimit    : 300
% 0.18/0.34  % DateTime   : Sun Aug 27 04:14:27 EDT 2023
% 0.18/0.34  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.48  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.p6pMXOIV1v/cvc5---1.0.5_30732.p...
% 0.21/0.49  ------- get file name : TPTP file name is COL091-1
% 0.21/0.49  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30732.smt2...
% 0.21/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.15/1.35  % SZS status Unsatisfiable for COL091-1
% 1.15/1.35  % SZS output start Proof for COL091-1
% 1.15/1.35  (
% 1.15/1.35  (let ((_let_1 (forall ((Q $$unsorted)) (or (not (= tptp.r (tptp.comb_app tptp.combK Q))) (not (tptp.member (tptp.pair tptp.p Q) tptp.contract)))))) (let ((_let_2 (tptp.member (tptp.pair (tptp.comb_app tptp.combK tptp.p) tptp.r) tptp.contract))) (let ((_let_3 (forall ((R $$unsorted)) (not (tptp.member (tptp.pair tptp.combK R) tptp.contract))))) (let ((_let_4 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c4 P Q R)) (= R (tptp.comb_app P (tptp.ap_contractE_sk3q P Q R))))))) (let ((_let_5 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c4 P Q R)) (tptp.member (tptp.pair Q (tptp.ap_contractE_sk3q P Q R)) tptp.contract))))) (let ((_let_6 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c3 P Q R)) (tptp.member (tptp.pair P (tptp.ap_contractE_sk2q P Q R)) tptp.contract))))) (let ((_let_7 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c2 P Q R)) (= P (tptp.comb_app (tptp.comb_app tptp.combS (tptp.ap_contractE_sk1p P Q R)) (tptp.ap_contractE_sk1q P Q R))))))) (let ((_let_8 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c1 P Q R)) (= P (tptp.comb_app tptp.combK R)))))) (let ((_let_9 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.member (tptp.pair (tptp.comb_app P Q) R) tptp.contract)) (tptp.ap_contractE_c1 P Q R) (tptp.ap_contractE_c2 P Q R) (tptp.ap_contractE_c3 P Q R) (tptp.ap_contractE_c4 P Q R))))) (let ((_let_10 (forall ((P $$unsorted) (Q $$unsorted)) (not (= tptp.combK (tptp.comb_app P Q)))))) (let ((_let_11 (tptp.ap_contractE_sk2q tptp.combK tptp.p tptp.r))) (let ((_let_12 (tptp.member (tptp.pair tptp.combK _let_11) tptp.contract))) (let ((_let_13 (_let_3))) (let ((_let_14 (ASSUME :args _let_13))) (let ((_let_15 (tptp.ap_contractE_c3 tptp.combK tptp.p tptp.r))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_12))) (let ((_let_18 (_let_6))) (let ((_let_19 (ASSUME :args _let_18))) (let ((_let_20 (tptp.ap_contractE_c4 tptp.combK tptp.p tptp.r))) (let ((_let_21 (tptp.ap_contractE_c2 tptp.combK tptp.p tptp.r))) (let ((_let_22 (tptp.ap_contractE_c1 tptp.combK tptp.p tptp.r))) (let ((_let_23 (not _let_2))) (let ((_let_24 (or _let_23 _let_22 _let_21 _let_15 _let_20))) (let ((_let_25 (_let_9))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 (tptp.ap_contractE_sk3q tptp.combK tptp.p tptp.r))) (let ((_let_28 (tptp.member (tptp.pair tptp.p _let_27) tptp.contract))) (let ((_let_29 (not _let_20))) (let ((_let_30 (or _let_29 _let_28))) (let ((_let_31 (= tptp.r (tptp.comb_app tptp.combK _let_27)))) (let ((_let_32 (or _let_29 _let_31))) (let ((_let_33 (not _let_28))) (let ((_let_34 (not _let_31))) (let ((_let_35 (or _let_34 _let_33))) (let ((_let_36 (_let_5))) (let ((_let_37 (ASSUME :args _let_36))) (let ((_let_38 (_let_4))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (_let_1))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (tptp.ap_contractE_sk1q tptp.combK tptp.p tptp.r))) (let ((_let_43 (tptp.comb_app tptp.combS (tptp.ap_contractE_sk1p tptp.combK tptp.p tptp.r)))) (let ((_let_44 (= tptp.combK (tptp.comb_app _let_43 _let_42)))) (let ((_let_45 (not _let_21))) (let ((_let_46 (or _let_45 _let_44))) (let ((_let_47 (_let_7))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (_let_10))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 ((tptp.comb_app P Q)))) (let ((_let_52 (= tptp.combK (tptp.comb_app tptp.combK tptp.r)))) (let ((_let_53 (not _let_22))) (let ((_let_54 (or _let_53 _let_52))) (let ((_let_55 (_let_8))) (let ((_let_56 (ASSUME :args _let_55))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (_let_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.pair tptp.combK R)))) :args _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_16 _let_12 (not _let_17)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_22 _let_21 _let_15 _let_20 (not _let_24)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_53 _let_52 (not _let_54)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.combK tptp.r QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_49)) _let_50 :args ((not _let_52) false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.combK tptp.p tptp.r QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ap_contractE_c1 P Q R) false))))) :args _let_55)) _let_56 :args (_let_54 false _let_8)) :args (_let_53 true _let_52 false _let_54)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_45 _let_44 (not _let_46)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_43 _let_42 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_49)) _let_50 :args ((not _let_44) false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.combK tptp.p tptp.r QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ap_contractE_c2 P Q R) false))))) :args _let_47)) _let_48 :args (_let_46 false _let_7)) :args (_let_45 true _let_44 false _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_33 _let_34 (not _let_35)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_27 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.comb_app tptp.combK Q)))) :args _let_40)) _let_41 :args (_let_35 false _let_1)) (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_29 _let_31 (not _let_32)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.combK tptp.p tptp.r QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ap_contractE_c4 P Q R) false))))) :args _let_38)) _let_39 :args (_let_32 false _let_4)) (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_29 _let_28 (not _let_30)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.combK tptp.p tptp.r QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ap_contractE_c4 P Q R) false))))) :args _let_36)) _let_37 :args (_let_30 false _let_5)) :args (_let_29 false _let_35 false _let_31 false _let_32 false _let_28 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.combK tptp.p tptp.r QUANTIFIERS_INST_E_MATCHING ((tptp.pair (tptp.comb_app P Q) R)))) :args _let_25)) _let_26 :args (_let_24 false _let_9)) :args (_let_15 false _let_2 true _let_22 true _let_21 true _let_20 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.combK tptp.p tptp.r QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ap_contractE_c3 P Q R) false))))) :args _let_18)) _let_19 :args (_let_17 false _let_6)) :args (_let_12 false _let_15 false _let_17)) _let_14 :args (false false _let_12 false _let_3)) :args ((not (= tptp.combK tptp.combS)) _let_10 (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)))) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.member (tptp.comb_app P Q) tptp.comb)) (tptp.member P tptp.comb))) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.member (tptp.comb_app P Q) tptp.comb)) (tptp.member Q tptp.comb))) (tptp.member tptp.combK tptp.comb) (tptp.member tptp.combS tptp.comb) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.member P tptp.comb)) (not (tptp.member Q tptp.comb)) (tptp.member (tptp.comb_app P Q) tptp.comb))) (forall ((A $$unsorted)) (or (not (tptp.member A tptp.comb)) (tptp.member (tptp.pair A A) (tptp.rtrancl tptp.contract)))) (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.member P tptp.comb)) (not (tptp.member Q tptp.comb)) (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app tptp.combK P) Q) P) tptp.contract))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.member P tptp.comb)) (not (tptp.member Q tptp.comb)) (not (tptp.member R tptp.comb)) (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app (tptp.comb_app tptp.combS P) Q) R) (tptp.comb_app (tptp.comb_app P R) (tptp.comb_app Q R))) tptp.contract))) _let_9 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c1 P Q R)) (tptp.member R tptp.comb))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c1 P Q R)) (tptp.member Q tptp.comb))) _let_8 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c2 P Q R)) (tptp.member (tptp.ap_contractE_sk1p P Q R) tptp.comb))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c2 P Q R)) (tptp.member (tptp.ap_contractE_sk1q P Q R) tptp.comb))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c2 P Q R)) (tptp.member Q tptp.comb))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c2 P Q R)) (= R (tptp.comb_app (tptp.comb_app (tptp.ap_contractE_sk1p P Q R) Q) (tptp.comb_app (tptp.ap_contractE_sk1q P Q R) Q))))) _let_7 _let_6 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c3 P Q R)) (tptp.member Q tptp.comb))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c3 P Q R)) (= R (tptp.comb_app (tptp.ap_contractE_sk2q P Q R) Q)))) _let_5 (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c4 P Q R)) (tptp.member P tptp.comb))) _let_4 _let_3 (forall ((R $$unsorted)) (not (tptp.member (tptp.pair tptp.combS R) tptp.contract))) _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.15/1.35  )
% 1.15/1.35  % SZS output end Proof for COL091-1
% 1.15/1.36  % cvc5---1.0.5 exiting
% 1.15/1.36  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------