TSTP Solution File: SYN333+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN333+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 02:02:31 EDT 2023
% Result : Theorem 0.20s 0.53s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN333+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 18:44:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.53 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.qjSjhMX4D4/cvc5---1.0.5_26016.p...
% 0.20/0.53 ------- get file name : TPTP file name is SYN333+1
% 0.20/0.53 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_26016.smt2...
% 0.20/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53 % SZS status Theorem for SYN333+1
% 0.20/0.53 % SZS output start Proof for SYN333+1
% 0.20/0.53 (
% 0.20/0.53 (let ((_let_1 (not (exists ((X $$unsorted) (Y $$unsorted)) (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f X Y))) (=> _let_1 (and (tptp.big_f Y Z) (tptp.big_f Z Z) (=> (and _let_1 (tptp.big_g X Y)) (and (tptp.big_g X Z) (tptp.big_g Z Z))))))))))) (let ((_let_2 (forall ((BOUND_VARIABLE_631 $$unsorted)) (tptp.big_g BOUND_VARIABLE_631 BOUND_VARIABLE_631)))) (let ((_let_3 (not _let_2))) (let ((_let_4 (forall ((BOUND_VARIABLE_626 $$unsorted)) (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_626)))) (let ((_let_5 (not _let_4))) (let ((_let_6 (or _let_5 _let_3))) (let ((_let_7 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_8 (and _let_7 (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_6))) (let ((_let_9 (forall ((BOUND_VARIABLE_605 $$unsorted)) (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_605)))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 _let_8))) (let ((_let_12 (forall ((BOUND_VARIABLE_665 $$unsorted) (BOUND_VARIABLE_663 $$unsorted)) (or (not (forall ((BOUND_VARIABLE_605 $$unsorted)) (tptp.big_f BOUND_VARIABLE_665 BOUND_VARIABLE_605))) (and (tptp.big_f BOUND_VARIABLE_663 BOUND_VARIABLE_665) (tptp.big_g BOUND_VARIABLE_663 BOUND_VARIABLE_665) (or (not (forall ((BOUND_VARIABLE_626 $$unsorted)) (tptp.big_g BOUND_VARIABLE_663 BOUND_VARIABLE_626))) (not (forall ((BOUND_VARIABLE_631 $$unsorted)) (tptp.big_g BOUND_VARIABLE_631 BOUND_VARIABLE_631))))))))) (let ((_let_13 (forall ((BOUND_VARIABLE_610 $$unsorted)) (tptp.big_f BOUND_VARIABLE_610 BOUND_VARIABLE_610)))) (let ((_let_14 (forall ((BOUND_VARIABLE_656 $$unsorted) (BOUND_VARIABLE_658 $$unsorted)) (tptp.big_f BOUND_VARIABLE_656 BOUND_VARIABLE_658)))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (AND_ELIM _let_15 :args (0)))) (let ((_let_17 (_let_14))) (let ((_let_18 ((not (= (tptp.big_f BOUND_VARIABLE_656 BOUND_VARIABLE_658) true))))) (let ((_let_19 (ASSUME :args _let_17))) (let ((_let_20 (or))) (let ((_let_21 (not _let_13))) (let ((_let_22 (_let_21))) (let ((_let_23 (MACRO_RESOLUTION_TRUST (AND_ELIM _let_15 :args (1)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_22)) :args _let_22)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_13))) (REFL :args ((not _let_7))) :args _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_18)) :args _let_17)) _let_16 :args (_let_7 false _let_14)) :args (_let_13 false _let_7)) :args (_let_12 false _let_13)))) (let ((_let_24 (_let_12))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_27 (_let_10))) (let ((_let_28 (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (let ((_let_29 (and (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8) _let_28 (or (not (forall ((BOUND_VARIABLE_626 $$unsorted)) (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 BOUND_VARIABLE_626))) _let_3)))) (let ((_let_30 (forall ((BOUND_VARIABLE_605 $$unsorted)) (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 BOUND_VARIABLE_605)))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_29))) (let ((_let_33 ((tptp.big_g BOUND_VARIABLE_663 BOUND_VARIABLE_665)))) (let ((_let_34 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_35 (_let_31))) (let ((_let_36 (_let_3))) (let ((_let_37 (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_38 (and (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) _let_37 _let_6))) (let ((_let_39 (forall ((BOUND_VARIABLE_605 $$unsorted)) (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 BOUND_VARIABLE_605)))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_38))) (let ((_let_42 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_43 (_let_40))) (let ((_let_44 (_let_5))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_6)) :args ((or _let_3 _let_5 (not _let_6)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_44)) :args _let_44)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) (REFL :args ((not _let_37))) :args _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_38 1)) :args ((or _let_37 (not _let_38)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_40 _let_38 (not _let_41)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_43)) :args _let_43)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) (REFL :args ((not _let_42))) :args _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_18)) :args _let_17)) _let_16 :args (_let_42 false _let_14)) :args (_let_39 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_24)) _let_23 :args (_let_41 false _let_12)) :args (_let_38 false _let_39 false _let_41)) :args (_let_37 false _let_38)) :args (_let_4 false _let_37)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_36)) :args _let_36)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_3) _let_2))) (REFL :args ((not _let_28))) :args _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_29 1)) :args ((or _let_28 (not _let_29)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_31 _let_29 (not _let_32)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_35)) :args _let_35)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) (REFL :args ((not _let_34))) :args _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_18)) :args _let_17)) _let_16 :args (_let_34 false _let_14)) :args (_let_30 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_24)) _let_23 :args (_let_32 false _let_12)) :args (_let_29 false _let_30 false _let_32)) :args (_let_28 false _let_29)) :args (_let_2 false _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_8 2)) :args ((or _let_6 (not _let_8)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_10 _let_8 (not _let_11)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_27)) :args _let_27)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) (REFL :args ((not _let_26))) :args _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_18)) :args _let_17)) _let_16 :args (_let_26 false _let_14)) :args (_let_9 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.big_f BOUND_VARIABLE_663 BOUND_VARIABLE_665)))) :args _let_24)) _let_23 :args (_let_11 false _let_12)) :args (_let_8 false _let_9 false _let_11)) :args (_let_6 false _let_8)) :args (false false _let_4 false _let_2 false _let_6)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.54 )
% 0.20/0.54 % SZS output end Proof for SYN333+1
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------