TSTP Solution File: NUN062+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUN062+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.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 12:46:20 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 : NUN062+2 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Aug 27 09:17:49 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.58 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.fDw9o5eJhF/cvc5---1.0.5_19389.p...
% 0.21/0.58 ------- get file name : TPTP file name is NUN062+2
% 0.21/0.58 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_19389.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 NUN062+2
% 0.21/0.58 % SZS output start Proof for NUN062+2
% 0.21/0.58 (
% 0.21/0.58 (let ((_let_1 (not (forall ((X1 $$unsorted)) (exists ((Y2 $$unsorted) (Y1 $$unsorted)) (and (forall ((Y4 $$unsorted)) (or (not (tptp.r1 Y4)) (not (= Y1 Y4)))) (exists ((Y3 $$unsorted)) (and (tptp.r3 X1 Y1 Y3) (= Y3 Y2))))))))) (let ((_let_2 (forall ((X7 $$unsorted) (Y10 $$unsorted)) (or (forall ((Y20 $$unsorted)) (or (not (tptp.r1 Y20)) (not (= Y20 Y10)))) (not (tptp.r2 X7 Y10)))))) (let ((_let_3 (forall ((X1 $$unsorted) (X8 $$unsorted)) (exists ((Y4 $$unsorted)) (and (exists ((Y5 $$unsorted)) (and (exists ((Y15 $$unsorted)) (and (tptp.r2 X8 Y15) (tptp.r3 X1 Y15 Y5))) (= Y5 Y4))) (exists ((Y7 $$unsorted)) (and (tptp.r2 Y7 Y4) (tptp.r3 X1 X8 Y7)))))))) (let ((_let_4 (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_59))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61))) (let ((_let_7 (or _let_6 _let_5))) (let ((_let_8 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61))) (let ((_let_9 (not _let_8))) (let ((_let_10 (or _let_9 _let_5 (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_59)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_60))))) (let ((_let_11 (forall ((Y4 $$unsorted) (BOUND_VARIABLE_1054 $$unsorted) (BOUND_VARIABLE_1047 $$unsorted)) (or (not (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1047)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 BOUND_VARIABLE_1047 Y4)) (not (tptp.r2 BOUND_VARIABLE_1054 Y4)) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 BOUND_VARIABLE_1054)))))) (let ((_let_12 (not _let_10))) (let ((_let_13 (forall ((X1 $$unsorted) (X8 $$unsorted)) (not (forall ((Y4 $$unsorted) (BOUND_VARIABLE_1054 $$unsorted) (BOUND_VARIABLE_1047 $$unsorted)) (or (not (tptp.r2 X8 BOUND_VARIABLE_1047)) (not (tptp.r3 X1 BOUND_VARIABLE_1047 Y4)) (not (tptp.r2 BOUND_VARIABLE_1054 Y4)) (not (tptp.r3 X1 X8 BOUND_VARIABLE_1054)))))))) (let ((_let_14 (not _let_11))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (or))) (let ((_let_17 (_let_14))) (let ((_let_18 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_17)) :args _let_17)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_11))) (REFL :args (_let_12)) :args _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args (_let_13))) _let_15 :args (_let_14 false _let_13)) :args (_let_12 true _let_11)))) (let ((_let_19 (REFL :args (_let_10)))) (let ((_let_20 (forall ((Y2 $$unsorted) (Y1 $$unsorted)) (or (tptp.r1 Y1) (not (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Y1 Y2)))))) (let ((_let_21 (forall ((X1 $$unsorted)) (not (forall ((Y2 $$unsorted) (Y1 $$unsorted)) (or (tptp.r1 Y1) (not (tptp.r3 X1 Y1 Y2)))))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (_let_20))) (let ((_let_24 (not _let_21))) (let ((_let_25 (not _let_6))) (let ((_let_26 (or _let_25 _let_9))) (let ((_let_27 (forall ((X7 $$unsorted) (Y10 $$unsorted)) (or (not (tptp.r1 Y10)) (not (tptp.r2 X7 Y10)))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_7)) :args ((or _let_5 _let_6 (not _let_7)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_9 _let_25 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_10 0)) (CONG _let_19 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_16)) :args ((or _let_8 _let_10))) _let_18 :args (_let_8 true _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r2 X7 Y10) false))))) :args (_let_27))) _let_28 :args (_let_26 false _let_27)) :args (_let_25 false _let_8 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_23) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.r3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 Y1 Y2) false))))) :args _let_23)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_22) :args (_let_24)) (REWRITE :args ((=> _let_24 (not (not _let_20))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_21))) (REFL :args _let_23) :args _let_16)) _let_22 :args (_let_20 true _let_21)) :args (_let_7 false _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_10 1)) (CONG _let_19 (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) :args _let_16)) :args ((or _let_4 _let_10))) _let_18 :args (_let_4 true _let_10)) :args (false true _let_6 false _let_7 false _let_4)) :args ((exists ((Y24 $$unsorted)) (forall ((X19 $$unsorted)) (let ((_let_1 (= X19 Y24))) (let ((_let_2 (tptp.r1 X19))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1)))))) (forall ((X11 $$unsorted)) (exists ((Y21 $$unsorted)) (forall ((X12 $$unsorted)) (let ((_let_1 (= X12 Y21))) (let ((_let_2 (tptp.r2 X11 X12))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))))) (forall ((X13 $$unsorted) (X14 $$unsorted)) (exists ((Y22 $$unsorted)) (forall ((X15 $$unsorted)) (let ((_let_1 (= X15 Y22))) (let ((_let_2 (tptp.r3 X13 X14 X15))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))))) (forall ((X16 $$unsorted) (X17 $$unsorted)) (exists ((Y23 $$unsorted)) (forall ((X18 $$unsorted)) (let ((_let_1 (= X18 Y23))) (let ((_let_2 (tptp.r4 X16 X17 X18))) (or (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))))) _let_3 (forall ((X2 $$unsorted) (X9 $$unsorted)) (exists ((Y2 $$unsorted)) (and (exists ((Y3 $$unsorted)) (and (exists ((Y14 $$unsorted)) (and (tptp.r2 X9 Y14) (tptp.r4 X2 Y14 Y3))) (= Y3 Y2))) (exists ((Y6 $$unsorted)) (and (tptp.r3 Y6 X2 Y2) (tptp.r4 X2 X9 Y6)))))) (forall ((X3 $$unsorted) (X10 $$unsorted)) (or (forall ((Y12 $$unsorted)) (or (forall ((Y13 $$unsorted)) (or (not (tptp.r2 X3 Y13)) (not (= Y13 Y12)))) (not (tptp.r2 X10 Y12)))) (= X3 X10))) (forall ((X4 $$unsorted)) (exists ((Y9 $$unsorted)) (and (exists ((Y16 $$unsorted)) (and (tptp.r1 Y16) (tptp.r3 X4 Y16 Y9))) (= Y9 X4)))) (forall ((X5 $$unsorted)) (exists ((Y8 $$unsorted)) (and (exists ((Y17 $$unsorted)) (and (tptp.r1 Y17) (tptp.r4 X5 Y17 Y8))) (exists ((Y18 $$unsorted)) (and (tptp.r1 Y18) (= Y8 Y18)))))) (forall ((X6 $$unsorted)) (or (exists ((Y19 $$unsorted)) (and (tptp.r1 Y19) (= X6 Y19))) (exists ((Y1 $$unsorted) (Y11 $$unsorted)) (and (tptp.r2 Y1 Y11) (= X6 Y11))))) _let_2 _let_1 true)))))))))))))))))))))))))))))))
% 0.21/0.59 )
% 0.21/0.59 % SZS output end Proof for NUN062+2
% 0.21/0.59 % cvc5---1.0.5 exiting
% 0.21/0.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------