TSTP Solution File: COL089-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COL089-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.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 18:23:22 EDT 2023
% Result : Unsatisfiable 0.20s 0.55s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : COL089-1 : TPTP v8.1.2. Released v2.7.0.
% 0.10/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Aug 27 04:21:05 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.65aN2CPvQU/cvc5---1.0.5_29541.p...
% 0.20/0.49 ------- get file name : TPTP file name is COL089-1
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29541.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.55 % SZS status Unsatisfiable for COL089-1
% 0.20/0.55 % SZS output start Proof for COL089-1
% 0.20/0.55 (
% 0.20/0.55 (let ((_let_1 (tptp.rtrancl tptp.contract))) (let ((_let_2 (tptp.comb_app tptp.r tptp.z))) (let ((_let_3 (tptp.comb_app tptp.r tptp.p))) (let ((_let_4 (tptp.member (tptp.pair _let_3 _let_2) _let_1))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.comb_app tptp.r tptp.y))) (let ((_let_7 (tptp.member (tptp.pair _let_3 _let_6) _let_1))) (let ((_let_8 (tptp.member (tptp.pair tptp.y tptp.z) tptp.contract))) (let ((_let_9 (tptp.member tptp.r tptp.comb))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.member (tptp.pair A B) tptp.contract)) (tptp.member B tptp.comb))))) (let ((_let_11 (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_12 (forall ((R $$unsorted)) (tptp.trans (tptp.rtrancl R))))) (let ((_let_13 (forall ((P3 $$unsorted) (Q3 $$unsorted) (R3 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.rtrancl tptp.contract))) (or (not (tptp.member (tptp.pair P3 Q3) tptp.contract)) (not (tptp.member R3 tptp.comb)) (not (tptp.member (tptp.pair (tptp.comb_app R3 Q3) C) _let_1)) (tptp.member (tptp.pair (tptp.comb_app R3 P3) C) _let_1)))))) (let ((_let_14 (forall ((A $$unsorted)) (or (not (tptp.member A tptp.comb)) (tptp.member (tptp.pair A A) (tptp.rtrancl tptp.contract)))))) (let ((_let_15 (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))))) (let ((_let_16 (tptp.member (tptp.pair _let_6 _let_2) _let_1))) (let ((_let_17 (not _let_16))) (let ((_let_18 (not _let_7))) (let ((_let_19 (tptp.trans _let_1))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18 _let_17 _let_4))) (let ((_let_22 (_let_11))) (let ((_let_23 (ASSUME :args _let_22))) (let ((_let_24 (not _let_21))) (let ((_let_25 (tptp.member (tptp.pair _let_2 _let_2) _let_1))) (let ((_let_26 (not _let_25))) (let ((_let_27 (not _let_9))) (let ((_let_28 (not _let_8))) (let ((_let_29 (or _let_28 _let_27 _let_26 _let_16))) (let ((_let_30 (_let_13))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (tptp.member _let_2 tptp.comb))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_25))) (let ((_let_35 (_let_14))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (tptp.member tptp.z tptp.comb))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_27 _let_38 _let_32))) (let ((_let_40 (_let_15))) (let ((_let_41 (ASSUME :args _let_40))) (let ((_let_42 (or _let_28 _let_37))) (let ((_let_43 (_let_10))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (ASSUME :args (_let_8)))) (let ((_let_46 (ASSUME :args (_let_9)))) (let ((_let_47 (_let_12))) (let ((_let_48 (ASSUME :args _let_47))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_1 _let_3 _let_6 _let_2 QUANTIFIERS_INST_E_MATCHING ((tptp.pair A C) (not (= (tptp.trans R) false)) (tptp.pair A B)))) :args _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_4 _let_18 _let_20 _let_17 _let_24))) (ASSUME :args (_let_5)) (ASSUME :args (_let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.contract QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.rtrancl R)))) :args _let_47)) _let_48 :args (_let_19 false _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_27 _let_28 _let_26 _let_16 (not _let_29)))) _let_46 _let_45 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_25 (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_27 _let_32 _let_38 (not _let_39)))) _let_46 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_28 _let_37 (not _let_42)))) _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.y tptp.z QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.pair A B)))) :args _let_43)) _let_44 :args (_let_42 false _let_10)) :args (_let_37 false _let_8 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.r tptp.z QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.comb_app P Q)))) :args _let_40)) _let_41 :args (_let_39 false _let_15)) :args (_let_32 false _let_9 false _let_37 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member A tptp.comb) false))))) :args _let_35)) _let_36 :args (_let_34 false _let_14)) :args (_let_25 false _let_32 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (tptp.y tptp.z tptp.r _let_2 QUANTIFIERS_INST_E_MATCHING ((tptp.pair P3 Q3) (tptp.pair (tptp.comb_app R3 Q3) C)))) :args _let_30)) _let_31 :args (_let_29 false _let_13)) :args (_let_16 false _let_9 false _let_8 false _let_25 false _let_29)) :args (_let_24 true _let_4 false _let_7 false _let_19 false _let_16)) _let_23 :args (false true _let_21 false _let_11)) :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)))) (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) _let_15 _let_14 (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 $$unsorted)) (or (not (tptp.member P tptp.comb)) (not (tptp.member Q tptp.comb)) (not (tptp.member R tptp.comb)) (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app (tptp.comb_app tptp.combS P) Q) R) (tptp.comb_app (tptp.comb_app P R) (tptp.comb_app Q R))) tptp.contract))) (forall ((P $$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))) (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))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c1 P Q R)) (= P (tptp.comb_app tptp.combK R)))) (forall ((P $$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 $$unsorted)) (or (not (tptp.ap_contractE_c2 P Q R)) (= R (tptp.comb_app (tptp.comb_app (tptp.ap_contractE_sk1p P Q R) Q) (tptp.comb_app (tptp.ap_contractE_sk1q P Q R) Q))))) (forall ((P $$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))))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c3 P Q R)) (tptp.member (tptp.pair P (tptp.ap_contractE_sk2q P Q R)) tptp.contract))) (forall ((P $$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 $$unsorted)) (or (not (tptp.ap_contractE_c3 P Q R)) (= R (tptp.comb_app (tptp.ap_contractE_sk2q P Q R) Q)))) (forall ((P $$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))) (forall ((P $$unsorted) (Q $$unsorted) (R $$unsorted)) (or (not (tptp.ap_contractE_c4 P Q R)) (tptp.member P tptp.comb))) (forall ((P $$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))))) (forall ((R $$unsorted)) (not (tptp.member (tptp.pair tptp.combK R) tptp.contract))) (forall ((R $$unsorted)) (not (tptp.member (tptp.pair tptp.combS R) tptp.contract))) (forall ((B $$unsorted) (Q3 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.rtrancl tptp.contract))) (or (not (tptp.member B tptp.comb)) (not (tptp.member Q3 tptp.comb)) (not (tptp.member (tptp.pair B C) _let_1)) (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app tptp.combK B) Q3) C) _let_1)))) (forall ((P3 $$unsorted) (Q3 $$unsorted) (R3 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.rtrancl tptp.contract))) (or (not (tptp.member P3 tptp.comb)) (not (tptp.member Q3 tptp.comb)) (not (tptp.member R3 tptp.comb)) (not (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app P3 R3) (tptp.comb_app Q3 R3)) C) _let_1)) (tptp.member (tptp.pair (tptp.comb_app (tptp.comb_app (tptp.comb_app tptp.combS P3) Q3) R3) C) _let_1)))) (forall ((P3 $$unsorted) (Q3 $$unsorted) (R3 $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.rtrancl tptp.contract))) (or (not (tptp.member (tptp.pair P3 Q3) tptp.contract)) (not (tptp.member R3 tptp.comb)) (not (tptp.member (tptp.pair (tptp.comb_app Q3 R3) C) _let_1)) (tptp.member (tptp.pair (tptp.comb_app P3 R3) C) _let_1)))) _let_13 _let_12 _let_11 _let_10 _let_9 (tptp.member tptp.p tptp.comb) (tptp.member (tptp.pair tptp.p tptp.y) _let_1) _let_8 _let_7 _let_5)))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.55 )
% 0.20/0.55 % SZS output end Proof for COL089-1
% 0.20/0.55 % cvc5---1.0.5 exiting
% 0.20/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------