TSTP Solution File: SYN074+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN074+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n015.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 : Fri Sep 1 02:01:19 EDT 2023
% Result : Theorem 0.21s 0.55s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN074+1 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 18:54:38 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.55 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.rpqNLH4VfC/cvc5---1.0.5_23356.p...
% 0.21/0.55 ------- get file name : TPTP file name is SYN074+1
% 0.21/0.55 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_23356.smt2...
% 0.21/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.55 % SZS status Theorem for SYN074+1
% 0.21/0.55 % SZS output start Proof for SYN074+1
% 0.21/0.55 (
% 0.21/0.55 (let ((_let_1 (not (exists ((Z $$unsorted)) (forall ((X $$unsorted)) (= (exists ((W $$unsorted)) (forall ((Y $$unsorted)) (= (tptp.big_f X Y) (= Y W)))) (= X Z))))))) (let ((_let_2 (exists ((Z $$unsorted) (W $$unsorted)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.big_f X Y) (and (= X Z) (= Y W))))))) (let ((_let_3 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36))) (let ((_let_4 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36))) (let ((_let_5 (= _let_4 _let_3))) (let ((_let_6 (forall ((Y $$unsorted)) (= (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 Y) (= Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_7 (not _let_5))) (let ((_let_8 (forall ((W $$unsorted)) (not (forall ((Y $$unsorted)) (= (= W Y) (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 Y))))))) (let ((_let_9 (not _let_6))) (let ((_let_10 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_11 (not _let_8))) (let ((_let_12 (= _let_11 _let_10))) (let ((_let_13 (forall ((Y $$unsorted)) (= (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 Y) (= Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))))) (let ((_let_14 (and _let_10 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17)))) (let ((_let_15 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17))) (let ((_let_16 (= _let_15 _let_14))) (let ((_let_17 (forall ((X $$unsorted)) (= (not (forall ((W $$unsorted)) (not (forall ((Y $$unsorted)) (= (tptp.big_f X Y) (= W Y)))))) (= X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_18 (not _let_12))) (let ((_let_19 (forall ((Z $$unsorted)) (not (forall ((X $$unsorted)) (= (not (forall ((W $$unsorted)) (not (forall ((Y $$unsorted)) (= (tptp.big_f X Y) (= W Y)))))) (= Z X))))))) (let ((_let_20 (not _let_17))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (or))) (let ((_let_23 (_let_20))) (let ((_let_24 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_23)) :args _let_23) (REWRITE :args ((=> _let_20 (not (= (not (forall ((W $$unsorted)) (not (forall ((Y $$unsorted)) (= (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 Y) (= W Y)))))) (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_17))) (REFL :args (_let_18)) :args _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_21 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args (_let_19)))) _let_21 :args (_let_20 false _let_19)) :args (_let_18 true _let_17)))) (let ((_let_25 (not _let_10))) (let ((_let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_8))))) (let ((_let_27 (_let_12))) (let ((_let_28 (_let_13))) (let ((_let_29 (_let_11))) (let ((_let_30 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.big_f X Y) (and (= X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (= Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_31 (forall ((Z $$unsorted) (W $$unsorted)) (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.big_f X Y) (and (= Z X) (= W Y)))))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (_let_30))) (let ((_let_34 (not _let_31))) (let ((_let_35 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_32) :args (_let_34)) (REWRITE :args ((=> _let_34 (not (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.big_f X Y) (and (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X) (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Y))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_31))) (REFL :args _let_33) :args _let_22)))) (let ((_let_36 (MACRO_RESOLUTION_TRUST _let_35 _let_32 :args (_let_30 true _let_31)))) (let ((_let_37 ((tptp.big_f X Y)))) (let ((_let_38 (ASSUME :args _let_33))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_16)) :args ((or (not _let_15) _let_14 (not _let_16)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_33))) _let_36 :args (_let_16 false _let_30)) (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_28) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 QUANTIFIERS_INST_ENUM)) :args _let_28))) (REORDERING (CNF_AND_POS :args (_let_14 0)) :args ((or _let_10 (not _let_14)))) (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_29)) :args _let_29) (REWRITE :args ((=> _let_11 (not (not (forall ((Y $$unsorted)) (= (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_17 Y) (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 Y)))))))))) (CONG _let_26 (REFL :args _let_28) :args _let_22)) (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_27) (CONG (REFL :args _let_27) _let_26 (REFL :args (_let_25)) :args _let_22)) :args ((or _let_8 _let_12 _let_25))) _let_24 :args (_let_8 false _let_16 false _let_15 true _let_14 false _let_13 true _let_10 true _let_12)))) (let ((_let_40 (_let_8))) (let ((_let_41 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_40) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_40))))) (let ((_let_42 (_let_9))) (let ((_let_43 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_42)) :args _let_42) (REWRITE :args ((=> _let_9 (not (= _let_4 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_6))) (REFL :args (_let_7)) :args _let_22)))) (let ((_let_44 (and _let_10 _let_3))) (let ((_let_45 (= _let_4 _let_44))) (let ((_let_46 (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_33))))) (let ((_let_47 (not _let_45))) (let ((_let_48 (_let_45))) (let ((_let_49 (_let_5))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_49) :args ((or _let_4 _let_3 _let_5))) _let_43 (REORDERING (CNF_AND_NEG :args (_let_44)) :args ((or _let_25 (not _let_3) _let_44))) _let_41 (REORDERING (CNF_EQUIV_NEG1 :args _let_27) :args ((or _let_11 _let_10 _let_12))) _let_24 (REORDERING (CNF_EQUIV_POS1 :args _let_48) :args ((or (not _let_4) _let_44 _let_47))) _let_46 _let_35 _let_32 :args ((or _let_11 _let_44) true _let_5 true _let_3 true _let_6 false _let_10 true _let_12 true _let_4 false _let_45 false _let_30 true _let_31)) _let_39 :args (_let_44 false _let_8)))) (let ((_let_51 (not _let_44))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_49) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_48) :args ((or _let_4 _let_51 _let_47))) _let_50 (MACRO_RESOLUTION_TRUST _let_46 _let_36 :args (_let_45 false _let_30)) :args (_let_4 false _let_44 false _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_44 1)) :args ((or _let_3 _let_51))) _let_50 :args (_let_3 false _let_44)) (MACRO_RESOLUTION_TRUST _let_43 (MACRO_RESOLUTION_TRUST _let_41 _let_39 :args (_let_9 false _let_8)) :args (_let_7 true _let_6)) :args (false false _let_4 false _let_3 true _let_5)) :args (_let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.56 )
% 0.21/0.56 % SZS output end Proof for SYN074+1
% 0.21/0.56 % cvc5---1.0.5 exiting
% 0.21/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------