TSTP Solution File: NUM423+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM423+3 : TPTP v8.1.2. Released v4.0.0.
% 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 : Thu Aug 31 10:43:46 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
% 0.00/0.13 % Problem : NUM423+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n016.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 : Fri Aug 25 10:34:40 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.54 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.LKUXozgwpa/cvc5---1.0.5_18054.p...
% 0.21/0.54 ------- get file name : TPTP file name is NUM423+3
% 0.21/0.54 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_18054.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 NUM423+3
% 0.21/0.54 % SZS output start Proof for NUM423+3
% 0.21/0.54 (
% 0.21/0.54 (let ((_let_1 (tptp.smndt0 tptp.xa))) (let ((_let_2 (tptp.sdtpldt0 tptp.xa _let_1))) (let ((_let_3 (not (or (exists ((W0 $$unsorted)) (and (tptp.aInteger0 W0) (= (tptp.sdtasdt0 tptp.xq W0) (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xa))))) (tptp.aDivisorOf0 tptp.xq _let_2) (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xa tptp.xq))))) (let ((_let_4 (tptp.aInteger0 tptp.xq))) (let ((_let_5 (tptp.aInteger0 tptp.xa))) (let ((_let_6 (and _let_5 _let_4 (not (= tptp.xq tptp.sz00))))) (let ((_let_7 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_8 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtpldt0 W0 _let_1) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))))) (let ((_let_9 (tptp.aInteger0 tptp.sz00))) (let ((_let_10 (tptp.sdtasdt0 tptp.xq tptp.sz00))) (let ((_let_11 (= _let_2 _let_10))) (let ((_let_12 (= tptp.sz00 _let_2))) (let ((_let_13 (= tptp.sz00 _let_10))) (let ((_let_14 (not _let_11))) (let ((_let_15 (not _let_9))) (let ((_let_16 (or _let_15 _let_14))) (let ((_let_17 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (= (tptp.sdtasdt0 tptp.xq W0) (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xa)))))))) (let ((_let_18 (0))) (let ((_let_19 (_let_17))) (let ((_let_20 (and _let_12 (= tptp.sz00 (tptp.sdtpldt0 _let_1 tptp.xa))))) (let ((_let_21 (not _let_5))) (let ((_let_22 (or _let_21 _let_20))) (let ((_let_23 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (or (not (tptp.aInteger0 W0)) (and (= tptp.sz00 (tptp.sdtpldt0 W0 _let_1)) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (and _let_13 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xq))))) (let ((_let_27 (not _let_4))) (let ((_let_28 (or _let_27 _let_26))) (let ((_let_29 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (and (= tptp.sz00 (tptp.sdtasdt0 W0 tptp.sz00)) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (not _let_13))) (let ((_let_32 (not _let_12))) (let ((_let_33 (and _let_12 _let_14))) (let ((_let_34 (ASSUME :args (_let_14)))) (let ((_let_35 (ASSUME :args (_let_12)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_33)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_34 _let_35) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM (SYMM _let_35)) (REFL :args (_let_10)) :args (=)) (FALSE_INTRO _let_34))) :args (_let_14 _let_12))) :args (_let_12 _let_14))) :args (true _let_33)) (CONG (REFL :args (_let_32)) (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_11))) (REFL :args (_let_31)) :args (or))) :args ((or _let_11 _let_32 _let_31))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_26 0)) :args ((or _let_13 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_27 _let_26 (not _let_28)))) (AND_ELIM _let_25 :args (1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.xq QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aInteger0 W0) false))))) :args (_let_29))) _let_30 :args (_let_28 false _let_29)) :args (_let_26 false _let_4 false _let_28)) :args (_let_13 false _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_20 0)) :args ((or _let_12 (not _let_20)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_21 _let_20 (not _let_22)))) (AND_ELIM _let_25 :args _let_18) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (tptp.xa QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aInteger0 W0) false))))) :args (_let_23))) _let_24 :args (_let_22 false _let_23)) :args (_let_20 false _let_5 false _let_22)) :args (_let_12 false _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_15 _let_14 (not _let_16)))) (ASSUME :args (_let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_19) :args (tptp.sz00 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aInteger0 W0) false))))) :args _let_19))) (NOT_NOT_ELIM (NOT_OR_ELIM (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))) :args _let_18)) :args (_let_16 false _let_17)) :args (_let_14 false _let_9 false _let_16)) :args (false false _let_13 false _let_12 true _let_11)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) true)) _let_9 (tptp.aInteger0 tptp.sz10) (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (tptp.aInteger0 (tptp.smndt0 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtpldt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtasdt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2)) (= (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))) (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))) _let_8 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2)) (= (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2)) (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))) (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W0 W2))) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2)) (and (= (tptp.sdtasdt0 W0 (tptp.sdtpldt0 W1 W2)) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) _let_1)) (= (tptp.sdtasdt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 _let_1 (tptp.sdtasdt0 W1 W2))))))) _let_7 (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 tptp.sz10))) (let ((_let_2 (tptp.smndt0 W0))) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 _let_1 W0) _let_2) (= _let_2 (tptp.sdtasdt0 W0 _let_1))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (=> (= (tptp.sdtasdt0 W0 W1) tptp.sz00) (or (= W0 tptp.sz00) (= W1 tptp.sz00))))) (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (forall ((W1 $$unsorted)) (= (tptp.aDivisorOf0 W1 W0) (and (tptp.aInteger0 W1) (not (= W1 tptp.sz00)) (exists ((W2 $$unsorted)) (and (tptp.aInteger0 W2) (= (tptp.sdtasdt0 W1 W2) W0)))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2) (not (= W2 tptp.sz00))) (= (tptp.sdteqdtlpzmzozddtrp0 W0 W1 W2) (tptp.aDivisorOf0 W2 (tptp.sdtpldt0 W0 (tptp.smndt0 W1)))))) _let_6 _let_3 true))))))))))))))))))))))))))))))))))))))
% 0.21/0.55 )
% 0.21/0.55 % SZS output end Proof for NUM423+3
% 0.21/0.55 % cvc5---1.0.5 exiting
% 0.21/0.55 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------