TSTP Solution File: COL074-3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : COL074-3 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 18:23:19 EDT 2023
% Result : Unsatisfiable 8.96s 9.14s
% Output : Proof 8.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : COL074-3 : TPTP v8.1.2. Released v1.2.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun Aug 27 04:14:09 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.cvhTYLIJ1M/cvc5---1.0.5_27092.p...
% 0.20/0.50 ------- get file name : TPTP file name is COL074-3
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_27092.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 8.96/9.14 % SZS status Unsatisfiable for COL074-3
% 8.96/9.14 % SZS output start Proof for COL074-3
% 8.96/9.14 (
% 8.96/9.14 (let ((_let_1 (tptp.apply tptp.k tptp.projection2))) (let ((_let_2 (tptp.apply tptp.k tptp.s))) (let ((_let_3 (tptp.pair _let_2 _let_1))) (let ((_let_4 (tptp.apply tptp.eq _let_3))) (let ((_let_5 (= tptp.s _let_4))) (let ((_let_6 (tptp.apply tptp.k tptp.projection1))) (let ((_let_7 (= tptp.projection1 tptp.projection2))) (let ((_let_8 (not _let_7))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (or (= X Y) (= (tptp.apply tptp.eq (tptp.pair X Y)) tptp.projection2))))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.apply tptp.eq (tptp.pair X X)) tptp.projection1)))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.apply (tptp.pair X Y) Z) (tptp.pair (tptp.apply X Z) (tptp.apply Y Z)))))) (let ((_let_12 (forall ((X $$unsorted)) (= (tptp.pair (tptp.apply tptp.projection1 X) (tptp.apply tptp.projection2 X)) X)))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.apply tptp.projection2 (tptp.pair X Y)) Y)))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.apply (tptp.apply tptp.k X) Y) X)))) (let ((_let_15 (= _let_1 (tptp.apply tptp.projection2 _let_3)))) (let ((_let_16 (= _let_1 _let_2))) (let ((_let_17 (= tptp.projection1 (tptp.apply tptp.eq (tptp.pair _let_1 _let_1))))) (let ((_let_18 (tptp.apply tptp.projection2 tptp.projection2))) (let ((_let_19 (tptp.apply tptp.projection1 tptp.projection2))) (let ((_let_20 (tptp.pair _let_19 _let_18))) (let ((_let_21 (= tptp.projection2 _let_20))) (let ((_let_22 (= (tptp.apply _let_20 _let_3) (tptp.pair (tptp.apply _let_19 _let_3) (tptp.apply _let_18 _let_3))))) (let ((_let_23 (tptp.apply (tptp.pair tptp.projection2 tptp.projection2) tptp.projection1))) (let ((_let_24 (= tptp.projection1 (tptp.apply _let_6 _let_23)))) (let ((_let_25 (= tptp.projection2 (tptp.apply _let_1 _let_23)))) (let ((_let_26 (ASSUME :args (_let_8)))) (let ((_let_27 (ASSUME :args (_let_5)))) (let ((_let_28 (forall ((X $$unsorted) (Y $$unsorted)) (= Y (tptp.apply tptp.projection2 (tptp.pair X Y)))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (= tptp.projection2 _let_4))) (let ((_let_31 (or _let_16 _let_30))) (let ((_let_32 (forall ((X $$unsorted) (Y $$unsorted)) (or (= X Y) (= tptp.projection2 (tptp.apply tptp.eq (tptp.pair X Y))))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (not _let_5))) (let ((_let_35 (and _let_5 _let_30))) (let ((_let_36 (_let_5 _let_30))) (let ((_let_37 (APPLY_UF tptp.apply))) (let ((_let_38 (SYMM _let_27))) (let ((_let_39 (ASSUME :args (_let_30)))) (let ((_let_40 (REFL :args (tptp.k)))) (let ((_let_41 (forall ((X $$unsorted)) (= tptp.projection1 (tptp.apply tptp.eq (tptp.pair X X)))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (forall ((X $$unsorted)) (= X (tptp.pair (tptp.apply tptp.projection1 X) (tptp.apply tptp.projection2 X)))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (_let_11))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (forall ((X $$unsorted) (Y $$unsorted)) (= X (tptp.apply (tptp.apply tptp.k X) Y))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (_let_47))) (let ((_let_50 ((tptp.apply (tptp.apply tptp.k X) Y)))) (let ((_let_51 (not _let_25))) (let ((_let_52 (_let_51))) (let ((_let_53 (ASSUME :args (_let_25)))) (let ((_let_54 (ASSUME :args (_let_24)))) (let ((_let_55 (ASSUME :args (_let_17)))) (let ((_let_56 (ASSUME :args (_let_16)))) (let ((_let_57 (ASSUME :args (_let_15)))) (let ((_let_58 (ASSUME :args (_let_21)))) (let ((_let_59 (CONG (SYMM _let_58) (REFL :args (_let_3)) :args _let_37))) (let ((_let_60 (ASSUME :args (_let_22)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_54 _let_55 _let_56 _let_27 _let_57 _let_58 _let_60 _let_26) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG (TRANS (TRANS _let_57 (SYMM _let_59) _let_60) (TRANS (SYMM _let_60) _let_59 (SYMM _let_57) _let_56 (CONG _let_40 (TRANS (SYMM _let_38) (CONG (REFL :args (tptp.eq)) (CONG (SYMM _let_56) (REFL :args (_let_1)) :args (APPLY_UF tptp.pair)) :args _let_37) (SYMM _let_55)) :args _let_37))) (REFL :args (_let_23)) :args _let_37) (SYMM _let_54)) (REFL :args (tptp.projection2)) :args (=)) (FALSE_INTRO _let_26)) :args ((= _let_25 false)))) :args (_let_24 _let_17 _let_16 _let_5 _let_15 _let_21 _let_22 _let_8))) _let_53) :args (_let_8 _let_5 _let_15 _let_16 _let_17 _let_21 _let_22 _let_24 _let_25)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_52))) (TRUE_INTRO _let_53))) :args (_let_51 _let_25)) :args ((not (and _let_8 _let_5 _let_15 _let_16 _let_17 _let_21 _let_22 _let_24 _let_25)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) (REFL :args (_let_34)) (REFL :args ((not _let_15))) (REFL :args ((not _let_16))) (REFL :args ((not _let_17))) (REFL :args ((not _let_21))) (REFL :args ((not _let_22))) (REFL :args ((not _let_24))) (REFL :args _let_52) :args (or))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.projection2 _let_23 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_49)) _let_48 :args (_let_25 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.projection1 _let_23 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_49)) _let_48 :args (_let_24 false _let_47)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_19 _let_18 _let_3 QUANTIFIERS_INST_E_MATCHING ((tptp.apply (tptp.pair X Y) Z)))) :args _let_45)) _let_46 :args (_let_22 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.projection2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.apply tptp.projection1 X)))) :args (_let_43))) _let_44 :args (_let_21 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.pair X X)))) :args (_let_41))) _let_42 :args (_let_17 false _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_35)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_27 _let_39) (SCOPE (CONG _let_40 (TRANS (SYMM (SYMM _let_39)) _let_38) :args _let_37) :args _let_36)) :args _let_36)) :args (true _let_35)) :args ((or _let_34 _let_16 (not _let_30)))) _let_27 (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_16 (not _let_31)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.pair X Y)))) :args (_let_32)))) _let_33 :args (_let_31 false _let_32)) :args (_let_16 false _let_5 false _let_30 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.pair X Y)))) :args (_let_28))) _let_29 :args (_let_15 false _let_28)) _let_27 _let_26 :args (false false _let_25 false _let_24 false _let_22 false _let_21 false _let_17 false _let_16 false _let_15 false _let_5 true _let_7)) :args (_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.apply tptp.projection1 (tptp.pair X Y)) X)) _let_13 _let_12 _let_11 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.apply (tptp.apply (tptp.apply tptp.abstraction X) Y) Z) (tptp.apply (tptp.apply X (tptp.apply tptp.k Z)) (tptp.apply Y Z)))) _let_10 _let_9 (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.n X Y))) (or (= X Y) (not (= (tptp.apply X _let_1) (tptp.apply Y _let_1)))))) _let_8 (= _let_6 tptp.k_projection1) (= _let_1 tptp.k_projection2) _let_5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 8.96/9.14 )
% 8.96/9.15 % SZS output end Proof for COL074-3
% 8.96/9.15 % cvc5---1.0.5 exiting
% 8.96/9.15 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------