%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : COM003-2 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n003.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 18:36:53 EDT 2023

% Result   : Unsatisfiable 0.20s 0.57s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : COM003-2 : TPTP v8.1.2. Released v1.1.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n003.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   : Tue Aug 29 13:04:55 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.2DukQLgN75/cvc5---1.0.5_14193.p...
% 0.20/0.50  ------- get file name : TPTP file name is COM003-2
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_14193.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.57  % SZS status Unsatisfiable for COM003-2
% 0.20/0.57  % SZS output start Proof for COM003-2
% 0.20/0.57  (
% 0.20/0.57  (let ((_let_1 (tptp.algorithm_program_decides tptp.c4))) (let ((_let_2 (forall ((W $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.program_program_decides W)) (tptp.program_not_halts2_halts3_outputs W Y Z tptp.bad))))) (let ((_let_3 (forall ((W $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.program_program_decides W)) (tptp.program_halts2_halts3_outputs W Y Z tptp.good))))) (let ((_let_4 (forall ((X $$unsorted)) (or (not (tptp.algorithm_program_decides X)) (tptp.program_program_decides tptp.c1))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (not (tptp.program_not_halts2_halts3_outputs X Y Z W)) (tptp.program_not_halts2 Y Z))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (not (tptp.program_halts2_halts3_outputs X Y Z W)) (tptp.program_halts2 Y Z))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.program_not_halts2 X Y)) (not (tptp.halts2 X Y)))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.program_halts2 X Y)) (tptp.halts2 X Y))))) (let ((_let_9 (forall ((X $$unsorted)) (or (not (tptp.program_program_decides X)) (tptp.program X))))) (let ((_let_10 (tptp.f3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_11 (tptp.program_not_halts2 _let_10 _let_10))) (let ((_let_12 (tptp.halts2 _let_10 _let_10))) (let ((_let_13 (not _let_12))) (let ((_let_14 (not _let_11))) (let ((_let_15 (or _let_14 _let_13))) (let ((_let_16 (tptp.program_not_halts2_halts3_outputs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_10 _let_10 tptp.bad))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_11))) (let ((_let_19 (_let_5))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 (tptp.program_halts2_halts3_outputs SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_10 _let_10 tptp.good))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or (not (tptp.program SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)) _let_22 _let_17))) (let ((_let_24 (forall ((W $$unsorted)) (let ((_let_1 (tptp.f3 W))) (or (not (tptp.program W)) (not (tptp.program_halts2_halts3_outputs W _let_1 _let_1 tptp.good)) (not (tptp.program_not_halts2_halts3_outputs W _let_1 _let_1 tptp.bad))))))) (let ((_let_25 (not _let_23))) (let ((_let_26 (tptp.f3 tptp.c1))) (let ((_let_27 (tptp.program_not_halts2_halts3_outputs tptp.c1 _let_26 _let_26 tptp.bad))) (let ((_let_28 (not _let_27))) (let ((_let_29 (tptp.program_halts2_halts3_outputs tptp.c1 _let_26 _let_26 tptp.good))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.program tptp.c1))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_30 _let_28))) (let ((_let_34 (not _let_24))) (let ((_let_35 (not _let_33))) (let ((_let_36 (tptp.program_program_decides tptp.c1))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_27))) (let ((_let_39 (_let_2))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (forall ((X $$unsorted)) (not (tptp.algorithm_program_decides X))))) (let ((_let_42 (_let_41))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_42) :args (tptp.c4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.algorithm_program_decides X) false))))) :args _let_42)) (ASSUME :args (_let_1)) :args ((not _let_41) false _let_1)) :args (_let_36 true _let_41)))) (let ((_let_44 (or _let_37 _let_29))) (let ((_let_45 (_let_3))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (or _let_37 _let_31))) (let ((_let_48 (_let_9))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (_let_24))) (let ((_let_51 (or))) (let ((_let_52 (_let_34))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_52)) :args _let_52)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_24))) (REFL :args (_let_25)) :args _let_51)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_50) :args (tptp.c1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.program W) false))))) :args _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_30 _let_28 _let_35))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_37 _let_31 (not _let_47)))) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.c1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.program_program_decides X) false))))) :args _let_48)) _let_49 :args (_let_47 false _let_9)) :args (_let_31 false _let_36 false _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_37 _let_29 (not _let_44)))) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.c1 _let_26 _let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.program_halts2_halts3_outputs W Y Z tptp.good) true))))) :args _let_45)) _let_46 :args (_let_44 false _let_3)) :args (_let_29 false _let_36 false _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_27 (not _let_38)))) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (tptp.c1 _let_26 _let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.program_not_halts2_halts3_outputs W Y Z tptp.bad) true))))) :args _let_39)) _let_40 :args (_let_38 false _let_2)) :args (_let_27 false _let_36 false _let_38)) :args (_let_35 false _let_31 false _let_29 false _let_27)) :args (_let_34 true _let_33)) :args (_let_25 true _let_24)))) (let ((_let_54 (REFL :args (_let_23)))) (let ((_let_55 (_let_7))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (tptp.program_halts2 _let_10 _let_10))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_12))) (let ((_let_60 (_let_8))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 (or _let_22 _let_57))) (let ((_let_63 (_let_6))) (let ((_let_64 (ASSUME :args _let_63))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_13 (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_58 _let_12 (not _let_59)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_22 _let_57 (not _let_62)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 1)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_51)) :args ((or _let_21 _let_23))) _let_53 :args (_let_21 true _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_10 _let_10 tptp.good QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.program_halts2_halts3_outputs X Y Z W) false))))) :args _let_63)) _let_64 :args (_let_62 false _let_6)) :args (_let_57 false _let_21 false _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_10 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.program_halts2 X Y) false))))) :args _let_60)) _let_61 :args (_let_59 false _let_8)) :args (_let_12 false _let_57 false _let_59)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_10 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.program_not_halts2 X Y) false))))) :args _let_55)) _let_56 :args (_let_15 false _let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_17 _let_11 (not _let_18)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 2)) (CONG _let_54 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_51)) :args ((or _let_16 _let_23))) _let_53 :args (_let_16 true _let_23)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 _let_10 _let_10 tptp.bad QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.program_not_halts2_halts3_outputs X Y Z W) false))))) :args _let_19)) _let_20 :args (_let_18 false _let_5)) :args (_let_11 false _let_16 false _let_18)) :args (false false _let_12 false _let_15 false _let_11)) :args ((forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.program_decides X)) (not (tptp.program Y)) (tptp.decides X Y Z))) (forall ((X $$unsorted)) (or (tptp.program_decides X) (tptp.program (tptp.f2 X)))) (forall ((X $$unsorted)) (or (tptp.program_decides X) (not (tptp.decides X (tptp.f2 X) (tptp.f1 X))))) _let_9 (forall ((X $$unsorted)) (or (not (tptp.program_program_decides X)) (tptp.program_decides X))) (forall ((X $$unsorted)) (or (tptp.program_program_decides X) (not (tptp.program X)) (not (tptp.program_decides X)))) (forall ((X $$unsorted)) (or (not (tptp.algorithm_program_decides X)) (tptp.algorithm X))) (forall ((X $$unsorted)) (or (not (tptp.algorithm_program_decides X)) (tptp.program_decides X))) (forall ((X $$unsorted)) (or (tptp.algorithm_program_decides X) (not (tptp.algorithm X)) (not (tptp.program_decides X)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.program_halts2 X Y)) (tptp.program X))) _let_8 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.program_halts2 X Y) (not (tptp.program X)) (not (tptp.halts2 X Y)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (not (tptp.halts3_outputs X Y Z W)) (tptp.halts3 X Y Z))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (not (tptp.halts3_outputs X Y Z W)) (tptp.outputs X W))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (tptp.halts3_outputs X Y Z W) (not (tptp.halts3 X Y Z)) (not (tptp.outputs X W)))) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.program_not_halts2 X Y)) (tptp.program X))) _let_7 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.program_not_halts2 X Y) (not (tptp.program X)) (tptp.halts2 X Y))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted)) (or (not (tptp.halts2_outputs X Y W)) (tptp.halts2 X Y))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted)) (or (not (tptp.halts2_outputs X Y W)) (tptp.outputs X W))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted)) (or (tptp.halts2_outputs X Y W) (not (tptp.halts2 X Y)) (not (tptp.outputs X W)))) _let_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (not (tptp.program_halts2_halts3_outputs X Y Z W)) (tptp.halts3_outputs X Y Z W))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (tptp.program_halts2_halts3_outputs X Y Z W) (not (tptp.program_halts2 Y Z)) (not (tptp.halts3_outputs X Y Z W)))) _let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (not (tptp.program_not_halts2_halts3_outputs X Y Z W)) (tptp.halts3_outputs X Y Z W))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted) (W $$unsorted)) (or (tptp.program_not_halts2_halts3_outputs X Y Z W) (not (tptp.program_not_halts2 Y Z)) (not (tptp.halts3_outputs X Y Z W)))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted)) (or (not (tptp.program_halts2_halts2_outputs X Y W)) (tptp.program_halts2 Y Y))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted)) (or (not (tptp.program_halts2_halts2_outputs X Y W)) (tptp.halts2_outputs X Y W))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted)) (or (tptp.program_halts2_halts2_outputs X Y W) (not (tptp.program_halts2 Y Y)) (not (tptp.halts2_outputs X Y W)))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted)) (or (not (tptp.program_not_halts2_halts2_outputs X Y W)) (tptp.program_not_halts2 Y Y))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted)) (or (not (tptp.program_not_halts2_halts2_outputs X Y W)) (tptp.halts2_outputs X Y W))) (forall ((X $$unsorted) (Y $$unsorted) (W $$unsorted)) (or (tptp.program_not_halts2_halts2_outputs X Y W) (not (tptp.program_not_halts2 Y Y)) (not (tptp.halts2_outputs X Y W)))) _let_4 _let_3 _let_2 (forall ((W $$unsorted)) (let ((_let_1 (tptp.f3 W))) (or (not (tptp.program W)) (not (tptp.program_halts2_halts3_outputs W _let_1 _let_1 tptp.good)) (not (tptp.program_not_halts2_halts3_outputs W _let_1 _let_1 tptp.bad)) (tptp.program tptp.c2)))) (forall ((W $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.f3 W))) (or (not (tptp.program W)) (not (tptp.program_halts2_halts3_outputs W _let_1 _let_1 tptp.good)) (not (tptp.program_not_halts2_halts3_outputs W _let_1 _let_1 tptp.bad)) (tptp.program_halts2_halts2_outputs tptp.c2 Y tptp.good)))) (forall ((W $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.f3 W))) (or (not (tptp.program W)) (not (tptp.program_halts2_halts3_outputs W _let_1 _let_1 tptp.good)) (not (tptp.program_not_halts2_halts3_outputs W _let_1 _let_1 tptp.bad)) (tptp.program_not_halts2_halts2_outputs tptp.c2 Y tptp.bad)))) (forall ((V $$unsorted)) (let ((_let_1 (tptp.f4 V))) (or (not (tptp.program V)) (not (tptp.program_halts2_halts2_outputs V _let_1 tptp.good)) (not (tptp.program_not_halts2_halts2_outputs V _let_1 tptp.bad)) (tptp.program tptp.c3)))) (forall ((V $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.f4 V))) (or (not (tptp.program V)) (not (tptp.program_halts2_halts2_outputs V _let_1 tptp.good)) (not (tptp.program_not_halts2_halts2_outputs V _let_1 tptp.bad)) (not (tptp.program_halts2 Y Y)) (tptp.halts2 tptp.c3 Y)))) (forall ((V $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.f4 V))) (or (not (tptp.program V)) (not (tptp.program_halts2_halts2_outputs V _let_1 tptp.good)) (not (tptp.program_not_halts2_halts2_outputs V _let_1 tptp.bad)) (tptp.program_not_halts2_halts2_outputs tptp.c3 Y tptp.bad)))) _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.57  )
% 0.20/0.57  % SZS output end Proof for COM003-2
% 0.20/0.57  % cvc5---1.0.5 exiting
% 0.20/0.58  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------