TSTP Solution File: NUM436+3 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM436+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n029.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 10:43:56 EDT 2023
% Result : Theorem 0.23s 0.74s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.16/0.15 % Problem : NUM436+3 : TPTP v8.1.2. Released v4.0.0.
% 0.16/0.16 % Command : do_cvc5 %s %d
% 0.16/0.37 % Computer : n029.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri Aug 25 08:57:54 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.74 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.8sSeIxfq26/cvc5---1.0.5_21738.p...
% 0.23/0.74 ------- get file name : TPTP file name is NUM436+3
% 0.23/0.74 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_21738.smt2...
% 0.23/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.23/0.74 % SZS status Theorem for NUM436+3
% 0.23/0.74 % SZS output start Proof for NUM436+3
% 0.23/0.74 (
% 0.23/0.74 (let ((_let_1 (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb tptp.xq))) (let ((_let_2 (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xb)))) (let ((_let_3 (tptp.aDivisorOf0 tptp.xq _let_2))) (let ((_let_4 (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb tptp.xp))) (let ((_let_5 (tptp.aDivisorOf0 tptp.xp _let_2))) (let ((_let_6 (not (and (or (exists ((W0 $$unsorted)) (and (tptp.aInteger0 W0) (= (tptp.sdtasdt0 tptp.xp W0) (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xb))))) _let_5 _let_4) (or (exists ((W0 $$unsorted)) (and (tptp.aInteger0 W0) (= (tptp.sdtasdt0 tptp.xq W0) (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xb))))) _let_3 _let_1))))) (let ((_let_7 (tptp.sdtasdt0 tptp.xp tptp.xm))) (let ((_let_8 (= _let_2 (tptp.sdtasdt0 tptp.xq _let_7)))) (let ((_let_9 (tptp.sdtasdt0 tptp.xq tptp.xm))) (let ((_let_10 (tptp.sdtasdt0 tptp.xp _let_9))) (let ((_let_11 (and (= _let_10 _let_2) _let_8))) (let ((_let_12 (tptp.sdtasdt0 tptp.xp tptp.xq))) (let ((_let_13 (tptp.aInteger0 tptp.xm))) (let ((_let_14 (and _let_13 (= (tptp.sdtasdt0 _let_12 tptp.xm) _let_2)))) (let ((_let_15 (tptp.aInteger0 tptp.xq))) (let ((_let_16 (tptp.aInteger0 tptp.xp))) (let ((_let_17 (and (tptp.aInteger0 tptp.xa) (tptp.aInteger0 tptp.xb) _let_16 (not (= tptp.xp tptp.sz00)) _let_15 (not (= tptp.xq tptp.sz00))))) (let ((_let_18 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_19 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (= (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xb)) (tptp.sdtasdt0 tptp.xp W0))))))) (let ((_let_20 (= _let_2 _let_10))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.aInteger0 _let_9))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_21))) (let ((_let_25 (not _let_19))) (let ((_let_26 (or _let_25 _let_5 _let_4))) (let ((_let_27 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (= (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xb)) (tptp.sdtasdt0 tptp.xq W0))))))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_3 _let_1))) (let ((_let_30 (not _let_8))) (let ((_let_31 (tptp.aInteger0 _let_7))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_30))) (let ((_let_34 (not _let_33))) (let ((_let_35 (not _let_13))) (let ((_let_36 (not _let_16))) (let ((_let_37 (or _let_36 _let_35 _let_31))) (let ((_let_38 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtasdt0 W0 W1)))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (_let_38))) (let ((_let_41 ((tptp.sdtasdt0 W0 W1)))) (let ((_let_42 (0))) (let ((_let_43 (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))) :args _let_42))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (_let_27))) (let ((_let_47 (or))) (let ((_let_48 (not _let_24))) (let ((_let_49 (not _let_15))) (let ((_let_50 (or _let_49 _let_35 _let_22))) (let ((_let_51 (_let_19))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_51) :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtasdt0 tptp.xp W0)))) :args _let_51)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_21 _let_23 _let_48))) (AND_ELIM _let_45 :args _let_42) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_49 _let_35 _let_22 (not _let_50)))) (AND_ELIM _let_44 :args (4)) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.xq tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_40)) _let_39 :args (_let_50 false _let_38)) :args (_let_22 false _let_15 false _let_13 false _let_50)) :args (_let_48 false _let_20 false _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 0)) (CONG (REFL :args (_let_26)) (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_19))) :args _let_47)) :args ((or _let_19 _let_26))) (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 0)) (CONG (REFL :args (_let_29)) (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_47)) :args ((or _let_27 _let_29))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_46) :args (_let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtasdt0 tptp.xq W0)))) :args _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_30 _let_32 _let_34))) (AND_ELIM _let_45 :args (1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_35 _let_31 (not _let_37)))) (AND_ELIM _let_44 :args (2)) _let_43 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.xp tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_41)) :args _let_40)) _let_39 :args (_let_37 false _let_38)) :args (_let_31 false _let_16 false _let_13 false _let_37)) :args (_let_34 false _let_8 false _let_31)) :args (_let_28 true _let_33)) :args (_let_29 true _let_27)) :args ((not _let_26) false _let_29)) :args (_let_19 true _let_26)) :args (false true _let_24 false _let_19)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) true)) (tptp.aInteger0 tptp.sz00) (tptp.aInteger0 tptp.sz10) (forall ((W0 $$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)))) _let_18 (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))))) (forall ((W0 $$unsorted)) (let ((_let_1 (tptp.smndt0 W0))) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtpldt0 W0 _let_1) tptp.sz00) (= tptp.sz00 (tptp.sdtpldt0 _let_1 W0)))))) (forall ((W0 $$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))))))) (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))) (forall ((W0 $$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)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (not (= W1 tptp.sz00))) (tptp.sdteqdtlpzmzozddtrp0 W0 W0 W1))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2) (not (= W2 tptp.sz00))) (=> (tptp.sdteqdtlpzmzozddtrp0 W0 W1 W2) (tptp.sdteqdtlpzmzozddtrp0 W1 W0 W2)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted) (W3 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (tptp.aInteger0 W2) (not (= W2 tptp.sz00)) (tptp.aInteger0 W3)) (=> (and (tptp.sdteqdtlpzmzozddtrp0 W0 W1 W2) (tptp.sdteqdtlpzmzozddtrp0 W1 W3 W2)) (tptp.sdteqdtlpzmzozddtrp0 W0 W3 W2)))) _let_17 (and (not (= _let_12 tptp.sz00)) (exists ((W0 $$unsorted)) (and (tptp.aInteger0 W0) (= (tptp.sdtasdt0 (tptp.sdtasdt0 tptp.xp tptp.xq) W0) (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xb))))) (tptp.aDivisorOf0 _let_12 _let_2) (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb _let_12)) _let_14 _let_11 _let_6 true))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.23/0.74 )
% 0.23/0.74 % SZS output end Proof for NUM436+3
% 0.23/0.74 % cvc5---1.0.5 exiting
% 0.23/0.75 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------