TSTP Solution File: NUM016-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM016-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n021.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 10:41:59 EDT 2023
% Result : Unsatisfiable 0.22s 0.53s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM016-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Aug 25 13:05:41 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.9DEPpiASQi/cvc5---1.0.5_16734.p...
% 0.22/0.50 ------- get file name : TPTP file name is NUM016-2
% 0.22/0.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16734.smt2...
% 0.22/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.53 % SZS status Unsatisfiable for NUM016-2
% 0.22/0.53 % SZS output start Proof for NUM016-2
% 0.22/0.53 (
% 0.22/0.53 (let ((_let_1 (forall ((X $$unsorted)) (or (not (tptp.prime X)) (not (tptp.less tptp.a X)) (tptp.less (tptp.factorial_plus_one tptp.a) X))))) (let ((_let_2 (forall ((X $$unsorted)) (or (tptp.prime X) (tptp.less (tptp.prime_divisor X) X))))) (let ((_let_3 (forall ((X $$unsorted)) (or (tptp.prime X) (tptp.prime (tptp.prime_divisor X)))))) (let ((_let_4 (forall ((X $$unsorted)) (or (tptp.prime X) (tptp.divides (tptp.prime_divisor X) X))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.divides X (tptp.factorial_plus_one Y))) (tptp.less Y X))))) (let ((_let_6 (forall ((X $$unsorted)) (tptp.less X (tptp.factorial_plus_one X))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.less X Y)) (not (tptp.less Y X)))))) (let ((_let_8 (forall ((X $$unsorted)) (not (tptp.less X X))))) (let ((_let_9 (tptp.factorial_plus_one tptp.a))) (let ((_let_10 (tptp.less _let_9 _let_9))) (let ((_let_11 (_let_8))) (let ((_let_12 (ASSUME :args _let_11))) (let ((_let_13 (tptp.less tptp.a _let_9))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.prime _let_9))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_14 _let_10))) (let ((_let_18 (_let_1))) (let ((_let_19 (ASSUME :args _let_18))) (let ((_let_20 (tptp.prime_divisor _let_9))) (let ((_let_21 (tptp.divides _let_20 _let_9))) (let ((_let_22 (or _let_15 _let_21))) (let ((_let_23 (tptp.less _let_20 _let_9))) (let ((_let_24 (or _let_15 _let_23))) (let ((_let_25 (tptp.prime _let_20))) (let ((_let_26 (or _let_15 _let_25))) (let ((_let_27 (tptp.less tptp.a _let_20))) (let ((_let_28 (not _let_21))) (let ((_let_29 (or _let_28 _let_27))) (let ((_let_30 (tptp.less _let_9 _let_20))) (let ((_let_31 (not _let_30))) (let ((_let_32 (not _let_23))) (let ((_let_33 (or _let_32 _let_31))) (let ((_let_34 (not _let_27))) (let ((_let_35 (not _let_25))) (let ((_let_36 (or _let_35 _let_34 _let_30))) (let ((_let_37 (_let_4))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (_let_2))) (let ((_let_40 (ASSUME :args _let_39))) (let ((_let_41 (_let_3))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (_let_5))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (_let_7))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 (_let_6))) (let ((_let_48 (ASSUME :args _let_47))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less X X) false))))) :args _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_14 _let_16 _let_10 (not _let_17)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.factorial_plus_one X)))) :args _let_47)) _let_48 :args (_let_13 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_30 _let_34 _let_35 (not _let_36)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.prime X) false))))) :args _let_18)) _let_19 :args (_let_36 false _let_1)) (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_31 (not _let_33)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_20 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less X Y) false))))) :args _let_45)) _let_46 :args (_let_33 false _let_7)) (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_27 (not _let_29)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_20 tptp.a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.divides X (tptp.factorial_plus_one Y)) false))))) :args _let_43)) _let_44 :args (_let_29 false _let_5)) (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_15 _let_25 (not _let_26)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.prime_divisor X)))) :args _let_41)) _let_42 :args (_let_26 false _let_3)) (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_15 _let_23 (not _let_24)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.prime X) true))))) :args _let_39)) _let_40 :args (_let_24 false _let_2)) (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_15 _let_21 (not _let_22)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.prime X) true))))) :args _let_37)) _let_38 :args (_let_22 false _let_4)) :args (_let_15 false _let_36 true _let_30 false _let_33 false _let_27 false _let_29 false _let_25 false _let_26 false _let_23 false _let_24 false _let_21 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.less tptp.a X) false))))) :args _let_18)) _let_19 :args (_let_17 false _let_1)) :args (_let_10 false _let_13 false _let_15 false _let_17)) _let_12 :args (false false _let_10 false _let_8)) :args (_let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.53 )
% 0.22/0.53 % SZS output end Proof for NUM016-2
% 0.22/0.54 % cvc5---1.0.5 exiting
% 0.22/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------