TSTP Solution File: NUN088+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUN088+1 : TPTP v8.1.2. Released v7.3.0.
% 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 : Thu Aug 31 12:46:29 EDT 2023
% Result : Theorem 0.16s 0.47s
% Output : Proof 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUN088+1 : TPTP v8.1.2. Released v7.3.0.
% 0.00/0.12 % Command : do_cvc5 %s %d
% 0.10/0.32 % Computer : n011.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Sun Aug 27 09:07:24 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.16/0.44 %----Proving TF0_NAR, FOF, or CNF
% 0.16/0.47 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.uxNzDeIuNL/cvc5---1.0.5_16188.p...
% 0.16/0.47 ------- get file name : TPTP file name is NUN088+1
% 0.16/0.47 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16188.smt2...
% 0.16/0.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.16/0.47 % SZS status Theorem for NUN088+1
% 0.16/0.47 % SZS output start Proof for NUN088+1
% 0.16/0.47 (
% 0.16/0.47 (let ((_let_1 (not (forall ((Y1 $$unsorted)) (or (forall ((Y2 $$unsorted)) (or (not (tptp.id Y2 Y1)) (not (tptp.r1 Y2)))) (forall ((Y3 $$unsorted)) (or (not (tptp.r1 Y3)) (not (tptp.r2 Y3 Y1))))))))) (let ((_let_2 (forall ((X7 $$unsorted) (Y10 $$unsorted)) (or (forall ((Y20 $$unsorted)) (or (not (tptp.id Y20 Y10)) (not (tptp.r1 Y20)))) (not (tptp.r2 X7 Y10)))))) (let ((_let_3 (forall ((X7 $$unsorted) (Y10 $$unsorted) (BOUND_VARIABLE_1180 $$unsorted)) (or (not (tptp.r2 X7 Y10)) (not (tptp.id BOUND_VARIABLE_1180 Y10)) (not (tptp.r1 BOUND_VARIABLE_1180)))))) (let ((_let_4 (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.id SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.r2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_9 (not _let_8))) (let ((_let_10 (or _let_9 _let_7 _let_5))) (let ((_let_11 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_12 (not _let_10))) (let ((_let_13 (or _let_7 _let_5 (not (tptp.r1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_9))) (let ((_let_14 (forall ((Y1 $$unsorted) (BOUND_VARIABLE_1200 $$unsorted) (BOUND_VARIABLE_1193 $$unsorted)) (or (not (tptp.id BOUND_VARIABLE_1193 Y1)) (not (tptp.r1 BOUND_VARIABLE_1193)) (not (tptp.r1 BOUND_VARIABLE_1200)) (not (tptp.r2 BOUND_VARIABLE_1200 Y1)))))) (let ((_let_15 (not _let_13))) (let ((_let_16 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_17 (or))) (let ((_let_18 (not _let_14))) (let ((_let_19 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_16) :args (_let_18))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_14))) (REFL :args (_let_15)) :args _let_17)) _let_16 :args (_let_15 true _let_14)))) (let ((_let_20 (REFL :args (_let_13)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_11 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.r2 X7 Y10) false)) (not (= (tptp.id BOUND_VARIABLE_1180 Y10) false))))) :args (_let_3))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_10)) :args ((or _let_7 _let_5 _let_9 _let_12))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 0)) (CONG _let_20 (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_6))) :args _let_17)) :args ((or _let_6 _let_13))) _let_19 :args (_let_6 true _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 1)) (CONG _let_20 (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) :args _let_17)) :args ((or _let_4 _let_13))) _let_19 :args (_let_4 true _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 3)) (CONG _let_20 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_17)) :args ((or _let_8 _let_13))) _let_19 :args (_let_8 true _let_13)) :args (_let_12 false _let_6 false _let_4 false _let_8)) _let_11 :args (false true _let_10 false _let_3)) :args ((exists ((Y24 $$unsorted)) (forall ((X19 $$unsorted)) (let ((_let_1 (tptp.id X19 Y24))) (let ((_let_2 (tptp.r1 X19))) (or (and _let_1 _let_2) (and (not _let_2) (not _let_1))))))) (forall ((X11 $$unsorted)) (exists ((Y21 $$unsorted)) (forall ((X12 $$unsorted)) (let ((_let_1 (tptp.id X12 Y21))) (let ((_let_2 (tptp.r2 X11 X12))) (or (and _let_1 _let_2) (and (not _let_2) (not _let_1)))))))) (forall ((X13 $$unsorted) (X14 $$unsorted)) (exists ((Y22 $$unsorted)) (forall ((X15 $$unsorted)) (let ((_let_1 (tptp.id X15 Y22))) (let ((_let_2 (tptp.r3 X13 X14 X15))) (or (and _let_1 _let_2) (and (not _let_2) (not _let_1)))))))) (forall ((X16 $$unsorted) (X17 $$unsorted)) (exists ((Y23 $$unsorted)) (forall ((X18 $$unsorted)) (let ((_let_1 (tptp.id X18 Y23))) (let ((_let_2 (tptp.r4 X16 X17 X18))) (or (and _let_1 _let_2) (and (not _let_2) (not _let_1)))))))) (forall ((X20 $$unsorted)) (tptp.id X20 X20)) (forall ((X21 $$unsorted) (X22 $$unsorted)) (or (not (tptp.id X21 X22)) (tptp.id X22 X21))) (forall ((X23 $$unsorted) (X24 $$unsorted) (X25 $$unsorted)) (or (not (tptp.id X23 X24)) (tptp.id X23 X25) (not (tptp.id X24 X25)))) (forall ((X26 $$unsorted) (X27 $$unsorted)) (let ((_let_1 (tptp.r1 X27))) (let ((_let_2 (tptp.r1 X26))) (or (not (tptp.id X26 X27)) (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))) (forall ((X28 $$unsorted) (X29 $$unsorted) (X30 $$unsorted) (X31 $$unsorted)) (let ((_let_1 (tptp.r2 X30 X31))) (let ((_let_2 (tptp.r2 X28 X29))) (or (not (tptp.id X28 X30)) (not (tptp.id X29 X31)) (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))) (forall ((X32 $$unsorted) (X33 $$unsorted) (X34 $$unsorted) (X35 $$unsorted) (X36 $$unsorted) (X37 $$unsorted)) (let ((_let_1 (tptp.r3 X35 X36 X37))) (let ((_let_2 (tptp.r3 X32 X33 X34))) (or (not (tptp.id X32 X35)) (not (tptp.id X33 X36)) (not (tptp.id X34 X37)) (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))) (forall ((X38 $$unsorted) (X39 $$unsorted) (X40 $$unsorted) (X41 $$unsorted) (X42 $$unsorted) (X43 $$unsorted)) (let ((_let_1 (tptp.r4 X41 X42 X43))) (let ((_let_2 (tptp.r4 X38 X39 X40))) (or (not (tptp.id X38 X41)) (not (tptp.id X39 X42)) (not (tptp.id X40 X43)) (and (not _let_2) (not _let_1)) (and _let_2 _let_1))))) (forall ((X1 $$unsorted) (X8 $$unsorted)) (exists ((Y4 $$unsorted)) (and (exists ((Y5 $$unsorted)) (and (tptp.id Y5 Y4) (exists ((Y15 $$unsorted)) (and (tptp.r2 X8 Y15) (tptp.r3 X1 Y15 Y5))))) (exists ((Y7 $$unsorted)) (and (tptp.r2 Y7 Y4) (tptp.r3 X1 X8 Y7)))))) (forall ((X2 $$unsorted) (X9 $$unsorted)) (exists ((Y2 $$unsorted)) (and (exists ((Y3 $$unsorted)) (and (tptp.id Y3 Y2) (exists ((Y14 $$unsorted)) (and (tptp.r2 X9 Y14) (tptp.r4 X2 Y14 Y3))))) (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 $$unsorted)) (or (not (tptp.id Y13 Y12)) (not (tptp.r2 X3 Y13)))) (not (tptp.r2 X10 Y12)))) (tptp.id X3 X10))) (forall ((X4 $$unsorted)) (exists ((Y9 $$unsorted)) (and (tptp.id Y9 X4) (exists ((Y16 $$unsorted)) (and (tptp.r1 Y16) (tptp.r3 X4 Y16 Y9)))))) (forall ((X5 $$unsorted)) (exists ((Y8 $$unsorted)) (and (exists ((Y17 $$unsorted)) (and (tptp.r1 Y17) (tptp.r4 X5 Y17 Y8))) (exists ((Y18 $$unsorted)) (and (tptp.id Y8 Y18) (tptp.r1 Y18)))))) (forall ((X6 $$unsorted)) (or (exists ((Y19 $$unsorted)) (and (tptp.id X6 Y19) (tptp.r1 Y19))) (exists ((Y1 $$unsorted) (Y11 $$unsorted)) (and (tptp.id X6 Y11) (tptp.r2 Y1 Y11))))) _let_2 _let_1 true)))))))))))))))))))))))
% 0.16/0.48 )
% 0.16/0.48 % SZS output end Proof for NUN088+1
% 0.16/0.48 % cvc5---1.0.5 exiting
% 0.16/0.48 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------