TSTP Solution File: COL003-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COL003-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 18:22:55 EDT 2023
% Result : Unsatisfiable 0.46s 0.64s
% Output : Proof 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : COL003-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n023.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 04:13:56 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.3E65XjT0KM/cvc5---1.0.5_24082.p...
% 0.22/0.52 ------- get file name : TPTP file name is COL003-2
% 0.22/0.52 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_24082.smt2...
% 0.22/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.46/0.64 % SZS status Unsatisfiable for COL003-2
% 0.46/0.64 % SZS output start Proof for COL003-2
% 0.46/0.64 (
% 0.46/0.64 (let ((_let_1 (tptp.apply (tptp.apply tptp.b tptp.b) tptp.b))) (let ((_let_2 (tptp.apply (tptp.apply tptp.b tptp.w) _let_1))) (let ((_let_3 (tptp.apply tptp.w tptp.w))) (let ((_let_4 (tptp.apply (tptp.apply tptp.b _let_3) _let_2))) (let ((_let_5 (tptp.fixed_point _let_4))) (let ((_let_6 (not _let_5))) (let ((_let_7 (forall ((Strong_fixed_point $$unsorted)) (let ((_let_1 (tptp.apply Strong_fixed_point tptp.fixed_pt))) (or (not (= _let_1 (tptp.apply tptp.fixed_pt _let_1))) (tptp.fixed_point Strong_fixed_point)))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.apply (tptp.apply tptp.w X) Y) (tptp.apply (tptp.apply X Y) Y))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.apply (tptp.apply (tptp.apply tptp.b X) Y) Z) (tptp.apply X (tptp.apply Y Z)))))) (let ((_let_10 (tptp.apply _let_4 tptp.fixed_pt))) (let ((_let_11 (= _let_10 (tptp.apply tptp.fixed_pt _let_10)))) (let ((_let_12 (tptp.apply _let_2 tptp.fixed_pt))) (let ((_let_13 (tptp.apply _let_3 _let_12))) (let ((_let_14 (= _let_10 _let_13))) (let ((_let_15 (tptp.apply _let_1 tptp.fixed_pt))) (let ((_let_16 (tptp.apply tptp.w _let_15))) (let ((_let_17 (= _let_12 _let_16))) (let ((_let_18 (tptp.apply (tptp.apply tptp.w _let_12) _let_12))) (let ((_let_19 (= _let_13 _let_18))) (let ((_let_20 (tptp.apply tptp.b tptp.fixed_pt))) (let ((_let_21 (tptp.apply tptp.b _let_20))) (let ((_let_22 (= _let_15 _let_21))) (let ((_let_23 (tptp.apply _let_12 _let_12))) (let ((_let_24 (tptp.apply _let_23 _let_12))) (let ((_let_25 (= _let_18 _let_24))) (let ((_let_26 (tptp.apply _let_20 _let_23))) (let ((_let_27 (= (tptp.apply _let_26 _let_12) (tptp.apply tptp.fixed_pt _let_24)))) (let ((_let_28 (= (tptp.apply _let_16 _let_12) (tptp.apply (tptp.apply _let_15 _let_12) _let_12)))) (let ((_let_29 (= _let_26 (tptp.apply (tptp.apply _let_21 _let_12) _let_12)))) (let ((_let_30 (not _let_11))) (let ((_let_31 (or _let_30 _let_5))) (let ((_let_32 (_let_7))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (_let_9))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 ((tptp.apply (tptp.apply (tptp.apply tptp.b X) Y) Z)))) (let ((_let_37 (_let_8))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 ((tptp.apply (tptp.apply tptp.w X) Y)))) (let ((_let_40 (and _let_14 _let_17 _let_19 _let_22 _let_25 _let_27 _let_28 _let_29))) (let ((_let_41 (APPLY_UF tptp.apply))) (let ((_let_42 (ASSUME :args (_let_14)))) (let ((_let_43 (REFL :args (tptp.fixed_pt)))) (let ((_let_44 (ASSUME :args (_let_19)))) (let ((_let_45 (ASSUME :args (_let_25)))) (let ((_let_46 (ASSUME :args (_let_27)))) (let ((_let_47 (REFL :args (_let_12)))) (let ((_let_48 (ASSUME :args (_let_29)))) (let ((_let_49 (ASSUME :args (_let_22)))) (let ((_let_50 (ASSUME :args (_let_28)))) (let ((_let_51 (SYMM _let_50))) (let ((_let_52 (ASSUME :args (_let_17)))) (let ((_let_53 (CONG (SYMM (SYMM _let_52)) _let_47 :args _let_41))) (let ((_let_54 (TRANS _let_51 (SYMM _let_53)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_40)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_42 _let_44 _let_45 _let_46 _let_48 _let_49 _let_50 _let_52) (SCOPE (TRANS _let_42 _let_44 _let_45 (CONG (SYMM _let_54) _let_47 :args _let_41) (CONG (TRANS _let_54 (TRANS _let_53 (SYMM _let_51) (CONG (CONG (SYMM (SYMM _let_49)) _let_47 :args _let_41) _let_47 :args _let_41) (SYMM _let_48))) _let_47 :args _let_41) (SYMM (SYMM _let_46)) (CONG _let_43 (TRANS (SYMM _let_45) (SYMM _let_44)) :args _let_41) (CONG _let_43 (SYMM _let_42) :args _let_41)) :args (_let_14 _let_19 _let_25 _let_27 _let_29 _let_22 _let_28 _let_17))) :args (_let_14 _let_17 _let_19 _let_22 _let_25 _let_27 _let_28 _let_29))) :args (true _let_40)) :args ((or _let_11 (not _let_14) (not _let_17) (not _let_19) (not _let_22) (not _let_25) (not _let_27) (not _let_28) (not _let_29)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_20 _let_12 _let_12 QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_34))) _let_35 :args (_let_29 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_15 _let_12 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_37)) _let_38 :args (_let_28 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.fixed_pt _let_23 _let_12 QUANTIFIERS_INST_E_MATCHING ((tptp.apply X (tptp.apply Y Z))))) :args _let_34)) _let_35 :args (_let_27 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_12 _let_12 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_37)) _let_38 :args (_let_25 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.b tptp.b tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_34)) _let_35 :args (_let_22 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.w _let_12 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_37)) _let_38 :args (_let_19 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.w _let_1 tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_34)) _let_35 :args (_let_17 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_3 _let_2 tptp.fixed_pt QUANTIFIERS_INST_E_MATCHING _let_36)) :args _let_34)) _let_35 :args (_let_14 false _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_5 _let_30 (not _let_31)))) (ASSUME :args (_let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.fixed_point Strong_fixed_point) true))))) :args _let_32)) _let_33 :args (_let_31 false _let_7)) :args (_let_30 true _let_5 false _let_31)) :args (false false _let_29 false _let_28 false _let_27 false _let_25 false _let_22 false _let_19 false _let_17 false _let_14 true _let_11)) :args (_let_9 _let_8 _let_7 _let_6)))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.46/0.64 )
% 0.46/0.65 % SZS output end Proof for COL003-2
% 0.46/0.65 % cvc5---1.0.5 exiting
% 0.46/0.65 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------