TSTP Solution File: SYN075+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN075+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : Fri Sep 1 02:01:19 EDT 2023
% Result : Theorem 0.21s 0.58s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN075+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.36 % Computer : n011.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sat Aug 26 21:06:24 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.21/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.58 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.qKhYgxlOOp/cvc5---1.0.5_12411.p...
% 0.21/0.58 ------- get file name : TPTP file name is SYN075+1
% 0.21/0.58 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_12411.smt2...
% 0.21/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.58 % SZS status Theorem for SYN075+1
% 0.21/0.58 % SZS output start Proof for SYN075+1
% 0.21/0.58 (
% 0.21/0.58 (let ((_let_1 (not (exists ((W $$unsorted)) (forall ((Y $$unsorted)) (= (exists ((Z $$unsorted)) (forall ((X $$unsorted)) (= (tptp.big_f X Y) (= X Z)))) (= Y W))))))) (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 (forall ((X $$unsorted)) (= (tptp.big_f X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13) (= X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))))) (let ((_let_4 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_5 (forall ((Z $$unsorted)) (not (forall ((X $$unsorted)) (= (= Z X) (tptp.big_f X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))))))) (let ((_let_6 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_7 (not _let_5))) (let ((_let_8 (= _let_7 _let_6))) (let ((_let_9 (forall ((Y $$unsorted)) (= (not (forall ((Z $$unsorted)) (not (forall ((X $$unsorted)) (= (tptp.big_f X Y) (= Z X)))))) (= Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_10 (not _let_8))) (let ((_let_11 (forall ((W $$unsorted)) (not (forall ((Y $$unsorted)) (= (not (forall ((Z $$unsorted)) (not (forall ((X $$unsorted)) (= (tptp.big_f X Y) (= Z X)))))) (= W Y))))))) (let ((_let_12 (not _let_9))) (let ((_let_13 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_14 (or))) (let ((_let_15 (_let_12))) (let ((_let_16 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_15)) :args _let_15) (REWRITE :args ((=> _let_12 (not (= (not (forall ((Z $$unsorted)) (not (forall ((X $$unsorted)) (= (tptp.big_f X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13) (= Z X)))))) (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_9))) (REFL :args (_let_10)) :args _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args (_let_11)))) _let_13 :args (_let_12 false _let_11)) :args (_let_10 true _let_9)))) (let ((_let_17 (forall ((X $$unsorted)) (= (tptp.big_f X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13) (= X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_18 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34))) (let ((_let_19 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_20 (= _let_19 _let_18))) (let ((_let_21 (and _let_18 _let_6))) (let ((_let_22 (= _let_19 _let_21))) (let ((_let_23 (not _let_6))) (let ((_let_24 (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_5))))) (let ((_let_25 (_let_8))) (let ((_let_26 (_let_5))) (let ((_let_27 (not _let_17))) (let ((_let_28 (_let_27))) (let ((_let_29 (not _let_19))) (let ((_let_30 (_let_20))) (let ((_let_31 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.big_f X Y) (and (= X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (= Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_32 (forall ((Z $$unsorted) (W $$unsorted)) (not (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.big_f X Y) (and (= Z X) (= W Y)))))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (_let_31))) (let ((_let_35 (not _let_32))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_33) :args (_let_35)) (REWRITE :args ((=> _let_35 (not (not (forall ((X $$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_35) _let_32))) (REFL :args _let_34) :args _let_14)) _let_33 :args (_let_31 true _let_32)))) (let ((_let_37 ((tptp.big_f X Y)))) (let ((_let_38 (ASSUME :args _let_34))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_34))) _let_36 :args (_let_22 false _let_31)))) (let ((_let_40 (not _let_22))) (let ((_let_41 (_let_22))) (let ((_let_42 (not _let_21))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_21)) :args ((or _let_23 (not _let_18) _let_21))) (REORDERING (CNF_EQUIV_POS2 :args _let_41) :args ((or _let_19 _let_42 _let_40))) _let_39 (REORDERING (CNF_EQUIV_NEG1 :args _let_30) :args ((or _let_19 _let_18 _let_20))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_21 0)) :args ((or _let_18 _let_42))) (REORDERING (CNF_EQUIV_POS1 :args _let_41) :args ((or _let_29 _let_21 _let_40))) _let_39 (CNF_EQUIV_NEG2 :args _let_30) :args ((or _let_20 _let_29) false _let_21 false _let_22 true _let_18)) (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_28)) :args _let_28) (REWRITE :args ((=> _let_27 (not (= _let_19 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_17))) (REFL :args ((not _let_20))) :args _let_14)) (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_26) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_26))) (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_25) (CONG (REFL :args _let_25) _let_24 (REFL :args (_let_23)) :args _let_14)) :args ((or _let_5 _let_8 _let_23))) _let_16 :args (_let_23 true _let_21 false _let_22 false _let_18 true _let_19 true _let_20 true _let_17 false _let_5 true _let_8)))) (let ((_let_44 (_let_3))) (let ((_let_45 (_let_7))) (let ((_let_46 (and (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14) _let_6))) (let ((_let_47 (= _let_4 _let_46))) (let ((_let_48 (not _let_4))) (let ((_let_49 (not _let_46))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_44) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_ENUM)) :args _let_44))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_47)) :args ((or _let_48 _let_46 (not _let_47)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_46 1)) :args ((or _let_6 _let_49))) _let_43 :args (_let_49 true _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_37)) :args _let_34))) _let_36 :args (_let_47 false _let_31)) :args (_let_48 true _let_46 false _let_47)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_45)) :args _let_45) (REWRITE :args ((=> _let_7 (not (not (forall ((X $$unsorted)) (= (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 X) (tptp.big_f X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)))))))))) (CONG _let_24 (REFL :args _let_44) :args _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_25) :args ((or _let_7 _let_6 _let_8))) _let_43 _let_16 :args (_let_7 true _let_6 true _let_8)) :args (_let_3 true _let_5)) :args (false true _let_4 false _let_3)) :args (_let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.58 )
% 0.21/0.58 % SZS output end Proof for SYN075+1
% 0.21/0.58 % cvc5---1.0.5 exiting
% 0.21/0.58 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------