TSTP Solution File: NUN069+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUN069+1 : TPTP v8.1.2. Released v7.3.0.
% 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 : Thu Aug 31 12:46:22 EDT 2023
% Result : Theorem 21.02s 21.28s
% Output : Proof 21.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN069+1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.13 % 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 10:01:25 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 21.02/21.28 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.LPR01dTyHG/cvc5---1.0.5_16201.p...
% 21.02/21.28 ------- get file name : TPTP file name is NUN069+1
% 21.02/21.28 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16201.smt2...
% 21.02/21.28 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 21.02/21.28 --- Run --no-e-matching --full-saturate-quant at 5...
% 21.02/21.28 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 21.02/21.28 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 21.02/21.28 % SZS status Theorem for NUN069+1
% 21.02/21.28 % SZS output start Proof for NUN069+1
% 21.02/21.28 (
% 21.02/21.28 (let ((_let_1 (not (exists ((Y1 $$unsorted)) (and (tptp.id Y1 Y1) (exists ((Y2 $$unsorted)) (and (tptp.r1 Y2) (tptp.r2 Y2 Y1)))))))) (let ((_let_2 (forall ((X3 $$unsorted) (X10 $$unsorted)) (or (forall ((Y12 $$unsorted)) (or (forall ((Y13 $$unsorted)) (or (not (tptp.id Y13 Y12)) (not (tptp.r2 X3 Y13)))) (not (tptp.r2 X10 Y12)))) (tptp.id X3 X10))))) (let ((_let_3 (forall ((X1 $$unsorted) (X8 $$unsorted)) (exists ((Y4 $$unsorted)) (and (exists ((Y5 $$unsorted)) (and (tptp.id Y5 Y4) (exists ((Y15 $$unsorted)) (and (tptp.r2 X8 Y15) (tptp.r3 X1 Y15 Y5))))) (exists ((Y7 $$unsorted)) (and (tptp.r2 Y7 Y4) (tptp.r3 X1 X8 Y7)))))))) (let ((_let_4 (forall ((X20 $$unsorted)) (tptp.id X20 X20)))) (let ((_let_5 (exists ((Y24 $$unsorted)) (forall ((X19 $$unsorted)) (let ((_let_1 (tptp.id X19 Y24))) (let ((_let_2 (tptp.r1 X19))) (or (and _let_1 _let_2) (and (not _let_2) (not _let_1))))))))) (let ((_let_6 (forall ((X3 $$unsorted) (X10 $$unsorted) (BOUND_VARIABLE_1061 $$unsorted) (BOUND_VARIABLE_1059 $$unsorted)) (or (tptp.id X3 X10) (not (tptp.r2 X10 BOUND_VARIABLE_1059)) (not (tptp.id BOUND_VARIABLE_1061 BOUND_VARIABLE_1059)) (not (tptp.r2 X3 BOUND_VARIABLE_1061)))))) (let ((_let_7 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.id SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58))) (let ((_let_10 (not _let_9))) (let ((_let_11 (tptp.id SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_12 (or _let_11 _let_8 _let_10 _let_8))) (let ((_let_13 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_14 (not _let_12))) (let ((_let_15 (_let_4))) (let ((_let_16 (ASSUME :args _let_15))) (let ((_let_17 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_15)) _let_16 :args (_let_9 false _let_4)))) (let ((_let_18 (not _let_11))) (let ((_let_19 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_20 (not _let_19))) (let ((_let_21 (and _let_20 _let_18))) (let ((_let_22 (and _let_11 _let_19))) (let ((_let_23 (or _let_22 _let_21))) (let ((_let_24 (forall ((X19 $$unsorted)) (let ((_let_1 (tptp.id X19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_2 (tptp.r1 X19))) (or (and _let_1 _let_2) (and (not _let_2) (not _let_1)))))))) (let ((_let_25 (forall ((Y24 $$unsorted)) (not (forall ((X19 $$unsorted)) (let ((_let_1 (tptp.id X19 Y24))) (let ((_let_2 (tptp.r1 X19))) (or (and _let_1 _let_2) (and (not _let_2) (not _let_1)))))))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (or))) (let ((_let_28 (_let_24))) (let ((_let_29 (not _let_25))) (let ((_let_30 (not _let_22))) (let ((_let_31 (or _let_10 _let_20 _let_8))) (let ((_let_32 (forall ((Y1 $$unsorted) (BOUND_VARIABLE_1200 $$unsorted)) (or (not (tptp.id Y1 Y1)) (not (tptp.r1 BOUND_VARIABLE_1200)) (not (tptp.r2 BOUND_VARIABLE_1200 Y1)))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (or (not (tptp.id SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56)) _let_8 (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_59)) (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_57 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_56)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_57))))) (let ((_let_35 (forall ((Y4 $$unsorted) (BOUND_VARIABLE_960 $$unsorted) (BOUND_VARIABLE_951 $$unsorted) (BOUND_VARIABLE_949 $$unsorted)) (or (not (tptp.id BOUND_VARIABLE_949 Y4)) (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_951)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_951 BOUND_VARIABLE_949)) (not (tptp.r2 BOUND_VARIABLE_960 Y4)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_960)))))) (let ((_let_36 (not _let_34))) (let ((_let_37 (forall ((X1 $$unsorted) (X8 $$unsorted)) (not (forall ((Y4 $$unsorted) (BOUND_VARIABLE_960 $$unsorted) (BOUND_VARIABLE_951 $$unsorted) (BOUND_VARIABLE_949 $$unsorted)) (or (not (tptp.id BOUND_VARIABLE_949 Y4)) (not (tptp.r2 X8 BOUND_VARIABLE_951)) (not (tptp.r3 X1 BOUND_VARIABLE_951 BOUND_VARIABLE_949)) (not (tptp.r2 BOUND_VARIABLE_960 Y4)) (not (tptp.r3 X1 X8 BOUND_VARIABLE_960)))))))) (let ((_let_38 (not _let_35))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (_let_38))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_34 1)) (CONG (REFL :args (_let_34)) (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) :args _let_27)) :args ((or _let_7 _let_34))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_40)) :args _let_40)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_35))) (REFL :args (_let_36)) :args _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_FMF_FMC_EXH)) :args (_let_37))) _let_39 :args (_let_38 false _let_37)) :args (_let_36 true _let_35)) :args (_let_7 true _let_34)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_6))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_12))) :args ((or _let_8 _let_11 _let_10 _let_14))) _let_41 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_21 1)) :args ((or _let_18 (not _let_21)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_22 _let_21 (not _let_23)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_22 1)) :args ((or _let_19 _let_30))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_20 _let_8 _let_10 (not _let_31)))) _let_41 _let_17 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_32))) _let_33 :args (_let_31 false _let_32)) :args (_let_20 false _let_7 false _let_9 false _let_31)) :args (_let_30 true _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_28) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_28)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_26) :args (_let_29)) (REWRITE :args ((=> _let_29 (not (not _let_24))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_25))) (REFL :args _let_28) :args _let_27)) _let_26 :args (_let_24 true _let_25)) :args (_let_23 false _let_24)) :args (_let_21 true _let_22 false _let_23)) :args (_let_18 false _let_21)) _let_17 :args (_let_14 false _let_7 true _let_11 false _let_9)) _let_13 :args (false true _let_12 false _let_6)) :args (_let_5 (forall ((X11 $$unsorted)) (exists ((Y21 $$unsorted)) (forall ((X12 $$unsorted)) (let ((_let_1 (tptp.id X12 Y21))) (let ((_let_2 (tptp.r2 X11 X12))) (or (and _let_1 _let_2) (and (not _let_2) (not _let_1)))))))) (forall ((X13 $$unsorted) (X14 $$unsorted)) (exists ((Y22 $$unsorted)) (forall ((X15 $$unsorted)) (let ((_let_1 (tptp.id X15 Y22))) (let ((_let_2 (tptp.r3 X13 X14 X15))) (or (and _let_1 _let_2) (and (not _let_2) (not _let_1)))))))) (forall ((X16 $$unsorted) (X17 $$unsorted)) (exists ((Y23 $$unsorted)) (forall ((X18 $$unsorted)) (let ((_let_1 (tptp.id X18 Y23))) (let ((_let_2 (tptp.r4 X16 X17 X18))) (or (and _let_1 _let_2) (and (not _let_2) (not _let_1)))))))) _let_4 (forall ((X21 $$unsorted) (X22 $$unsorted)) (or (not (tptp.id X21 X22)) (tptp.id X22 X21))) (forall ((X23 $$unsorted) (X24 $$unsorted) (X25 $$unsorted)) (or (not (tptp.id X23 X24)) (tptp.id X23 X25) (not (tptp.id X24 X25)))) (forall ((X26 $$unsorted) (X27 $$unsorted)) (let ((_let_1 (tptp.r1 X27))) (let ((_let_2 (tptp.r1 X26))) (or (not (tptp.id X26 X27)) (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))) (forall ((X28 $$unsorted) (X29 $$unsorted) (X30 $$unsorted) (X31 $$unsorted)) (let ((_let_1 (tptp.r2 X30 X31))) (let ((_let_2 (tptp.r2 X28 X29))) (or (not (tptp.id X28 X30)) (not (tptp.id X29 X31)) (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))) (forall ((X32 $$unsorted) (X33 $$unsorted) (X34 $$unsorted) (X35 $$unsorted) (X36 $$unsorted) (X37 $$unsorted)) (let ((_let_1 (tptp.r3 X35 X36 X37))) (let ((_let_2 (tptp.r3 X32 X33 X34))) (or (not (tptp.id X32 X35)) (not (tptp.id X33 X36)) (not (tptp.id X34 X37)) (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))) (forall ((X38 $$unsorted) (X39 $$unsorted) (X40 $$unsorted) (X41 $$unsorted) (X42 $$unsorted) (X43 $$unsorted)) (let ((_let_1 (tptp.r4 X41 X42 X43))) (let ((_let_2 (tptp.r4 X38 X39 X40))) (or (not (tptp.id X38 X41)) (not (tptp.id X39 X42)) (not (tptp.id X40 X43)) (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))) _let_3 (forall ((X2 $$unsorted) (X9 $$unsorted)) (exists ((Y2 $$unsorted)) (and (exists ((Y3 $$unsorted)) (and (tptp.id Y3 Y2) (exists ((Y14 $$unsorted)) (and (tptp.r2 X9 Y14) (tptp.r4 X2 Y14 Y3))))) (exists ((Y6 $$unsorted)) (and (tptp.r3 Y6 X2 Y2) (tptp.r4 X2 X9 Y6)))))) _let_2 (forall ((X4 $$unsorted)) (exists ((Y9 $$unsorted)) (and (tptp.id Y9 X4) (exists ((Y16 $$unsorted)) (and (tptp.r1 Y16) (tptp.r3 X4 Y16 Y9)))))) (forall ((X5 $$unsorted)) (exists ((Y8 $$unsorted)) (and (exists ((Y17 $$unsorted)) (and (tptp.r1 Y17) (tptp.r4 X5 Y17 Y8))) (exists ((Y18 $$unsorted)) (and (tptp.id Y8 Y18) (tptp.r1 Y18)))))) (forall ((X6 $$unsorted)) (or (exists ((Y19 $$unsorted)) (and (tptp.id X6 Y19) (tptp.r1 Y19))) (exists ((Y1 $$unsorted) (Y11 $$unsorted)) (and (tptp.id X6 Y11) (tptp.r2 Y1 Y11))))) (forall ((X7 $$unsorted) (Y10 $$unsorted)) (or (forall ((Y20 $$unsorted)) (or (not (tptp.id Y20 Y10)) (not (tptp.r1 Y20)))) (not (tptp.r2 X7 Y10)))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))
% 21.02/21.29 )
% 21.02/21.29 % SZS output end Proof for NUN069+1
% 21.02/21.29 % cvc5---1.0.5 exiting
% 21.02/21.29 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------