TSTP Solution File: LCL656+1.001 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LCL656+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n031.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 07:02:49 EDT 2023
% Result : Theorem 0.21s 0.54s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LCL656+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n031.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 : Thu Aug 24 20:56:36 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.54 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.65QCTQXTCW/cvc5---1.0.5_7305.p...
% 0.21/0.54 ------- get file name : TPTP file name is LCL656+1.001
% 0.21/0.54 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_7305.smt2...
% 0.21/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.54 % SZS status Theorem for LCL656+1.001
% 0.21/0.54 % SZS output start Proof for LCL656+1.001
% 0.21/0.54 (
% 0.21/0.54 (let ((_let_1 (not (not (exists ((X $$unsorted)) (not (or (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (and (forall ((Y $$unsorted)) (let ((_let_1 (tptp.p101 Y))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.p100 Y))) (let ((_let_4 (tptp.p1 Y))) (let ((_let_5 (tptp.p2 Y))) (or (not (tptp.r1 X Y)) (and (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (not (tptp.p2 X)) (not (tptp.p102 X)) (tptp.p101 X)))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (and (tptp.p2 X) (not (tptp.p102 X)) (tptp.p101 X))))))) (not (and _let_2 _let_3))) (or (and (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p2 X)) (not (tptp.p101 X)))) _let_5) (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X) (not (tptp.p101 X)))) (not _let_5))) _let_2) (or (and (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p1 X)) (not (tptp.p100 X)))) _let_4) (or (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p1 X) (not (tptp.p100 X)))) (not _let_4))) (not _let_3)) (or _let_1 (not (tptp.p102 Y))) (or _let_3 _let_2))))))))) (not (tptp.p101 X)) (tptp.p100 X)))))))))) (let ((_let_2 (forall ((X $$unsorted)) (tptp.r1 X X)))) (let ((_let_3 (forall ((Y $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (tptp.p2 Y))))) (let ((_let_4 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_5 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_6 (not _let_5))) (let ((_let_7 (or _let_6 _let_4))) (let ((_let_8 (tptp.p100 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.p101 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_11 (forall ((Y $$unsorted) (BOUND_VARIABLE_753 $$unsorted) (BOUND_VARIABLE_743 $$unsorted) (BOUND_VARIABLE_732 $$unsorted) (BOUND_VARIABLE_722 $$unsorted)) (let ((_let_1 (tptp.p101 Y))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.p100 Y))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.p1 Y))) (let ((_let_6 (tptp.p2 Y))) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y)) (and (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X) (tptp.p102 X) (not (tptp.p101 X))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p2 X)) (tptp.p102 X) (not (tptp.p101 X)))))) _let_1 _let_4) (or (and (or _let_6 (not (tptp.r1 Y BOUND_VARIABLE_722)) (not (tptp.p2 BOUND_VARIABLE_722)) (not (tptp.p101 BOUND_VARIABLE_722))) (or (not _let_6) (not (tptp.r1 Y BOUND_VARIABLE_732)) (tptp.p2 BOUND_VARIABLE_732) (not (tptp.p101 BOUND_VARIABLE_732)))) _let_2) (or (and (or _let_5 (not (tptp.r1 Y BOUND_VARIABLE_743)) (not (tptp.p1 BOUND_VARIABLE_743)) (not (tptp.p100 BOUND_VARIABLE_743))) (or (not _let_5) (not (tptp.r1 Y BOUND_VARIABLE_753)) (tptp.p1 BOUND_VARIABLE_753) (not (tptp.p100 BOUND_VARIABLE_753)))) _let_4) (or _let_1 (not (tptp.p102 Y))) (or _let_3 _let_2)))))))))))) (let ((_let_12 (not _let_11))) (let ((_let_13 (not _let_3))) (let ((_let_14 (or _let_13 _let_12 _let_10 _let_9))) (let ((_let_15 (forall ((X $$unsorted)) (or (not (forall ((Y $$unsorted)) (or (not (tptp.r1 X Y)) (tptp.p2 Y)))) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_753 $$unsorted) (BOUND_VARIABLE_743 $$unsorted) (BOUND_VARIABLE_732 $$unsorted) (BOUND_VARIABLE_722 $$unsorted)) (let ((_let_1 (tptp.p101 Y))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.p100 Y))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.p1 Y))) (let ((_let_6 (tptp.p2 Y))) (or (not (tptp.r1 X Y)) (and (or (and (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (tptp.p2 X) (tptp.p102 X) (not (tptp.p101 X))))) (not (forall ((X $$unsorted)) (or (not (tptp.r1 Y X)) (not (tptp.p2 X)) (tptp.p102 X) (not (tptp.p101 X)))))) _let_1 _let_4) (or (and (or _let_6 (not (tptp.r1 Y BOUND_VARIABLE_722)) (not (tptp.p2 BOUND_VARIABLE_722)) (not (tptp.p101 BOUND_VARIABLE_722))) (or (not _let_6) (not (tptp.r1 Y BOUND_VARIABLE_732)) (tptp.p2 BOUND_VARIABLE_732) (not (tptp.p101 BOUND_VARIABLE_732)))) _let_2) (or (and (or _let_5 (not (tptp.r1 Y BOUND_VARIABLE_743)) (not (tptp.p1 BOUND_VARIABLE_743)) (not (tptp.p100 BOUND_VARIABLE_743))) (or (not _let_5) (not (tptp.r1 Y BOUND_VARIABLE_753)) (tptp.p1 BOUND_VARIABLE_753) (not (tptp.p100 BOUND_VARIABLE_753)))) _let_4) (or _let_1 (not (tptp.p102 Y))) (or _let_3 _let_2))))))))))) (tptp.p101 X) (not (tptp.p100 X)))))) (let ((_let_16 (not _let_14))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (or))) (let ((_let_19 (not _let_15))) (let ((_let_20 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_17) :args (_let_19))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_15))) (REFL :args (_let_16)) :args _let_18)) _let_17 :args (_let_16 true _let_15)))) (let ((_let_21 (REFL :args (_let_14)))) (let ((_let_22 (not _let_7))) (let ((_let_23 (or _let_6 _let_4 (tptp.p102 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9) (not (tptp.p101 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))))) (let ((_let_24 (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X)) (tptp.p2 X) (tptp.p102 X) (not (tptp.p101 X)))))) (let ((_let_25 (not _let_23))) (let ((_let_26 (not _let_24))) (let ((_let_27 (and _let_26 (not (forall ((X $$unsorted)) (or (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 X)) (not (tptp.p2 X)) (tptp.p102 X) (not (tptp.p101 X)))))))) (let ((_let_28 (or _let_27 _let_10 _let_9))) (let ((_let_29 (not _let_10))) (let ((_let_30 (tptp.p1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_31 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_32 (not _let_31))) (let ((_let_33 (not _let_30))) (let ((_let_34 (tptp.p2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_35 (not _let_34))) (let ((_let_36 (and _let_28 (or (and (or _let_34 _let_32 _let_35 _let_29) (or _let_35 _let_32 _let_34 _let_29)) _let_29) (or (and (or _let_30 _let_32 _let_33 _let_9) (or _let_33 _let_32 _let_30 _let_9)) _let_9) (or _let_10 (not (tptp.p102 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or _let_8 _let_29)))) (let ((_let_37 (or _let_32 _let_36))) (let ((_let_38 (_let_11))) (let ((_let_39 (_let_2))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (_let_26))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_41)) :args _let_41)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_24))) (REFL :args (_let_25)) :args _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_27 0)) :args ((or _let_26 (not _let_27)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_10 _let_9 _let_27 (not _let_28)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_14 2)) _let_20 :args (_let_29 true _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 3)) (CONG _let_21 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_18)) :args ((or _let_8 _let_14))) _let_20 :args (_let_8 true _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_36 0)) :args ((or _let_28 (not _let_36)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_32 _let_36 (not _let_37)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_39)) _let_40 :args (_let_31 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_38) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 1)) (CONG _let_21 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_18)) :args ((or _let_11 _let_14))) _let_20 :args (_let_11 true _let_14)) :args (_let_37 false _let_11)) :args (_let_36 false _let_31 false _let_37)) :args (_let_28 false _let_36)) :args (_let_27 true _let_10 false _let_8 false _let_28)) :args (_let_26 false _let_27)) :args (_let_25 true _let_24)))) (let ((_let_43 (_let_3))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_43) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y) false))))) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_7)) :args ((or _let_6 _let_4 _let_22))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 0)) (CONG (REFL :args (_let_23)) (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) :args _let_18)) :args ((or _let_5 _let_23))) _let_42 :args (_let_5 true _let_23)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_23 1)) _let_42 :args ((not _let_4) true _let_23)) :args (_let_22 false _let_5 true _let_4)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 0)) (CONG _let_21 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_3))) :args _let_18)) :args ((or _let_3 _let_14))) _let_20 :args (_let_3 true _let_14)) :args (false true _let_7 false _let_3)) :args (_let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.55 )
% 0.21/0.55 % SZS output end Proof for LCL656+1.001
% 0.21/0.55 % cvc5---1.0.5 exiting
% 0.21/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------