TSTP Solution File: SYN345+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN345+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n016.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 02:02:38 EDT 2023
% Result : Theorem 0.20s 0.58s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN345+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.16/0.34 % Computer : n016.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Sat Aug 26 19:00:12 EDT 2023
% 0.16/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.58 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.VehoGJfhtR/cvc5---1.0.5_29009.p...
% 0.20/0.58 ------- get file name : TPTP file name is SYN345+1
% 0.20/0.58 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29009.smt2...
% 0.20/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.58 % SZS status Theorem for SYN345+1
% 0.20/0.58 % SZS output start Proof for SYN345+1
% 0.20/0.58 (
% 0.20/0.58 (let ((_let_1 (not (forall ((X1 $$unsorted) (X2 $$unsorted)) (exists ((Y1 $$unsorted) (Y2 $$unsorted)) (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f X1 X2 X2))) (let ((_let_2 (tptp.big_f X1 X1 X2))) (=> (=> (=> (tptp.big_f X1 X2 Y1) (tptp.big_f Y2 Y1 Z)) (=> _let_2 _let_1)) (=> (=> (=> (tptp.big_f X2 Y1 Y2) (tptp.big_f Y1 Z Z)) (=> _let_1 _let_2)) (=> (tptp.big_f Y1 Y2 Z) (and (tptp.big_f X2 X2 Y1) (= _let_2 _let_1))))))))))))) (let ((_let_2 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_3 (not _let_2))) (let ((_let_4 (or _let_3 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22)))) (let ((_let_5 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_6 (not _let_5))) (let ((_let_7 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (and _let_4 _let_7 _let_6))) (let ((_let_9 (not _let_4))) (let ((_let_10 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_22))) (let ((_let_11 (not _let_7))) (let ((_let_12 (or (and (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) _let_10) _let_5 _let_11) _let_8 (not _let_10)))) (let ((_let_13 (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Z))) (let ((_let_2 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_3 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (or (and (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) _let_1) _let_2 (not _let_3)) (and (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Z Z)) _let_3 (not _let_2)) (not _let_1)))))))) (let ((_let_14 (not _let_12))) (let ((_let_15 (forall ((BOUND_VARIABLE_659 $$unsorted) (BOUND_VARIABLE_661 $$unsorted)) (not (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_2 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (or (and (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_659)) (tptp.big_f BOUND_VARIABLE_661 BOUND_VARIABLE_659 Z)) _let_1 (not _let_2)) (and (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_659 BOUND_VARIABLE_661)) (tptp.big_f BOUND_VARIABLE_659 Z Z)) _let_2 (not _let_1)) (not (tptp.big_f BOUND_VARIABLE_659 BOUND_VARIABLE_661 Z)))))))))) (let ((_let_16 (not _let_13))) (let ((_let_17 (not _let_15))) (let ((_let_18 (forall ((BOUND_VARIABLE_650 $$unsorted)) (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_650))))) (let ((_let_19 (not _let_18))) (let ((_let_20 (= _let_6 _let_11))) (let ((_let_21 (and _let_20 _let_19))) (let ((_let_22 (or _let_21 _let_17))) (let ((_let_23 (forall ((X1 $$unsorted) (X2 $$unsorted)) (or (and (= (not (tptp.big_f X1 X1 X2)) (not (tptp.big_f X1 X2 X2))) (not (forall ((BOUND_VARIABLE_650 $$unsorted)) (not (tptp.big_f X2 X2 BOUND_VARIABLE_650))))) (not (forall ((BOUND_VARIABLE_659 $$unsorted) (BOUND_VARIABLE_661 $$unsorted)) (not (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f X1 X1 X2))) (let ((_let_2 (tptp.big_f X1 X2 X2))) (or (and (or (not (tptp.big_f X1 X2 BOUND_VARIABLE_659)) (tptp.big_f BOUND_VARIABLE_661 BOUND_VARIABLE_659 Z)) _let_1 (not _let_2)) (and (or (not (tptp.big_f X2 BOUND_VARIABLE_659 BOUND_VARIABLE_661)) (tptp.big_f BOUND_VARIABLE_659 Z Z)) _let_2 (not _let_1)) (not (tptp.big_f BOUND_VARIABLE_659 BOUND_VARIABLE_661 Z))))))))))))) (let ((_let_24 (not _let_22))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (or))) (let ((_let_27 (not _let_23))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_25) :args (_let_27))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_23))) (REFL :args (_let_24)) :args _let_26)) _let_25 :args (_let_24 true _let_23)))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 1)) (CONG (REFL :args (_let_22)) (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_15))) :args _let_26)) :args ((or _let_15 _let_22))) _let_28 :args (_let_15 true _let_22)))) (let ((_let_30 (_let_15))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (_let_16))) (let ((_let_33 (not _let_20))) (let ((_let_34 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_2))) (let ((_let_37 (and _let_36 _let_7 _let_6))) (let ((_let_38 (or _let_11 _let_34))) (let ((_let_39 (and _let_38 _let_5 _let_11))) (let ((_let_40 (or _let_39 _let_37 _let_35))) (let ((_let_41 (forall ((Z $$unsorted)) (let ((_let_1 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Z))) (let ((_let_2 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_3 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_4 (not _let_3))) (or (and (or _let_4 _let_1) _let_2 _let_4) (and (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Z Z)) _let_3 (not _let_2)) (not _let_1))))))))) (let ((_let_42 (not _let_40))) (let ((_let_43 (not _let_41))) (let ((_let_44 (_let_43))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_44)) :args _let_44)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_41))) (REFL :args (_let_42)) :args _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_30)) _let_29 :args (_let_43 false _let_15)) :args (_let_42 true _let_41)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_40 2)) (CONG (REFL :args (_let_40)) (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_34))) :args _let_26)) :args ((or _let_34 _let_40))) _let_45 :args (_let_34 true _let_40)))) (let ((_let_47 (_let_18))) (let ((_let_48 (_let_21))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_48) (CONG (REFL :args _let_48) (REFL :args (_let_33)) (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_26)) :args ((or _let_18 _let_21 _let_33))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_47) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_650) false))))) :args _let_47)) _let_46 :args (_let_19 false _let_34)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_22 0)) _let_28 :args ((not _let_21) true _let_22)) :args (_let_33 true _let_18 true _let_21)))) (let ((_let_50 (_let_20))) (let ((_let_51 (not _let_38))) (let ((_let_52 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_7))))) (let ((_let_53 (_let_39))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_53) (CONG (REFL :args _let_53) (REFL :args (_let_51)) (REFL :args (_let_6)) _let_52 :args _let_26)) :args ((or _let_6 _let_7 _let_39 _let_51))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_38 1)) _let_46 :args (_let_38 false _let_34)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_40 0)) _let_45 :args ((not _let_39) true _let_40)) (REORDERING (CNF_EQUIV_NEG1 :args _let_50) :args ((or _let_6 _let_11 _let_20))) _let_49 :args (_let_6 false _let_38 true _let_39 true _let_7 true _let_20)))) (let ((_let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_50) (CONG (REFL :args _let_50) _let_55 _let_52 :args _let_26)) :args ((or _let_5 _let_7 _let_20))) _let_54 _let_49 :args (_let_7 true _let_5 true _let_20)))) (let ((_let_57 (REFL :args (_let_11)))) (let ((_let_58 (_let_8))) (let ((_let_59 (not _let_36))) (let ((_let_60 (_let_37))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_4 0)) (CONG (REFL :args (_let_4)) (MACRO_SR_PRED_INTRO :args ((= (not _let_3) _let_2))) :args _let_26)) :args ((or _let_2 _let_4))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_36 1)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_60) (CONG (REFL :args _let_60) (REFL :args (_let_59)) _let_57 _let_55 :args _let_26)) :args ((or _let_5 _let_11 _let_37 _let_59))) _let_54 _let_56 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_40 1)) _let_45 :args ((not _let_37) true _let_40)) :args (_let_59 true _let_5 false _let_7 true _let_37)) :args (_let_3 true _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_58) (CONG (REFL :args _let_58) (REFL :args (_let_9)) _let_57 _let_55 :args _let_26)) :args ((or _let_5 _let_11 _let_8 _let_9))) _let_54 _let_56 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_12 1)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_32)) :args _let_32)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_13))) (REFL :args (_let_14)) :args _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_ENUM)) :args _let_30)) _let_29 :args (_let_16 false _let_15)) :args (_let_14 true _let_13)) :args ((not _let_8) true _let_12)) :args (_let_9 true _let_5 false _let_7 true _let_8)) :args (false true _let_2 true _let_4)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.59 )
% 0.20/0.59 % SZS output end Proof for SYN345+1
% 0.20/0.59 % cvc5---1.0.5 exiting
% 0.20/0.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------