TSTP Solution File: NUM425+1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM425+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n006.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 10:43:47 EDT 2023
% Result : Theorem 0.20s 0.59s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM425+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 13:40:22 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.59 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Fx5VzQnMDP/cvc5---1.0.5_9346.p...
% 0.20/0.59 ------- get file name : TPTP file name is NUM425+1
% 0.20/0.59 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_9346.smt2...
% 0.20/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.59 % SZS status Theorem for NUM425+1
% 0.20/0.59 % SZS output start Proof for NUM425+1
% 0.20/0.59 (
% 0.20/0.59 (let ((_let_1 (not (exists ((W0 $$unsorted)) (and (tptp.aInteger0 W0) (= (tptp.sdtasdt0 tptp.xq W0) (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xb)))))))) (let ((_let_2 (tptp.sdteqdtlpzmzozddtrp0 tptp.xa tptp.xb tptp.xq))) (let ((_let_3 (tptp.aInteger0 tptp.xq))) (let ((_let_4 (tptp.aInteger0 tptp.xb))) (let ((_let_5 (tptp.aInteger0 tptp.xa))) (let ((_let_6 (and _let_5 _let_4 _let_3 (not (= tptp.xq tptp.sz00))))) (let ((_let_7 (forall ((W0 $$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 ((_let_8 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (forall ((W1 $$unsorted)) (= (tptp.aDivisorOf0 W1 W0) (and (tptp.aInteger0 W1) (not (= W1 tptp.sz00)) (exists ((W2 $$unsorted)) (and (tptp.aInteger0 W2) (= (tptp.sdtasdt0 W1 W2) W0)))))))))) (let ((_let_9 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_10 (forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) (tptp.aInteger0 (tptp.smndt0 W0)))))) (let ((_let_11 (forall ((W2 $$unsorted)) (or (not (tptp.aInteger0 W2)) (not (= (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xb)) (tptp.sdtasdt0 tptp.xq W2))))))) (let ((_let_12 (not _let_11))) (let ((_let_13 (= tptp.sz00 tptp.xq))) (let ((_let_14 (and _let_3 (not _let_13) _let_12))) (let ((_let_15 (tptp.smndt0 tptp.xb))) (let ((_let_16 (tptp.sdtpldt0 tptp.xa _let_15))) (let ((_let_17 (tptp.aDivisorOf0 tptp.xq _let_16))) (let ((_let_18 (= _let_17 _let_14))) (let ((_let_19 (tptp.aInteger0 _let_16))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18))) (let ((_let_22 (forall ((W0 $$unsorted) (BOUND_VARIABLE_965 $$unsorted)) (or (not (tptp.aInteger0 W0)) (= (tptp.aDivisorOf0 BOUND_VARIABLE_965 W0) (and (tptp.aInteger0 BOUND_VARIABLE_965) (not (= tptp.sz00 BOUND_VARIABLE_965)) (not (forall ((W2 $$unsorted)) (or (not (tptp.aInteger0 W2)) (not (= W0 (tptp.sdtasdt0 BOUND_VARIABLE_965 W2)))))))))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (tptp.aInteger0 _let_15))) (let ((_let_25 (not _let_24))) (let ((_let_26 (not _let_5))) (let ((_let_27 (or _let_26 _let_25 _let_19))) (let ((_let_28 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (tptp.aInteger0 (tptp.sdtpldt0 W0 W1)))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (not _let_4))) (let ((_let_31 (or _let_30 _let_24))) (let ((_let_32 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (tptp.aInteger0 (tptp.smndt0 W0)))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (AND_ELIM _let_34 :args (1)))) (let ((_let_36 (AND_ELIM _let_34 :args (0)))) (let ((_let_37 (not _let_18))) (let ((_let_38 (not _let_14))) (let ((_let_39 (forall ((W0 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (= (tptp.sdtasdt0 tptp.xq W0) (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xb)))))))) (let ((_let_40 (= _let_2 _let_17))) (let ((_let_41 (not _let_3))) (let ((_let_42 (or _let_26 _let_30 _let_41 _let_13 _let_40))) (let ((_let_43 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (or (not (tptp.aInteger0 W0)) (not (tptp.aInteger0 W1)) (not (tptp.aInteger0 W2)) (= tptp.sz00 W2) (= (tptp.sdteqdtlpzmzozddtrp0 W0 W1 W2) (tptp.aDivisorOf0 W2 (tptp.sdtpldt0 W0 (tptp.smndt0 W1)))))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_18 (not _let_21)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_18)) :args ((or (not _let_17) _let_14 _let_37))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_40)) :args ((or (not _let_2) _let_17 (not _let_40)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_13 _let_26 _let_30 _let_41 _let_40 (not _let_42)))) (AND_ELIM _let_34 :args (3)) _let_36 _let_35 (AND_ELIM _let_34 :args (2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (tptp.xa tptp.xb tptp.xq QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdteqdtlpzmzozddtrp0 W0 W1 W2)))) :args (_let_43))) _let_44 :args (_let_42 false _let_43)) :args (_let_40 true _let_13 false _let_5 false _let_4 false _let_3 false _let_42)) :args (_let_17 false _let_2 false _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_14 2)) :args ((or _let_12 _let_38))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (TRANS (ALPHA_EQUIV :args (_let_39 (= W0 W2))) (MACRO_SR_PRED_INTRO :args ((= (forall ((W2 $$unsorted)) (or (not (tptp.aInteger0 W2)) (not (= (tptp.sdtasdt0 tptp.xq W2) (tptp.sdtpldt0 tptp.xa (tptp.smndt0 tptp.xb)))))) _let_11) SB_DEFAULT SBA_SEQUENTIAL RW_EXT_REWRITE)))) (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args (_let_11 false _let_39)) :args (_let_38 false _let_11)) :args (_let_37 false _let_17 true _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_26 _let_25 _let_19 (not _let_27)))) _let_36 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_24 (not _let_31)))) _let_35 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.xb QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.smndt0 W0)))) :args (_let_32))) _let_33 :args (_let_31 false _let_32)) :args (_let_24 false _let_4 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (tptp.xa _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtpldt0 W0 W1)))) :args (_let_28))) _let_29 :args (_let_27 false _let_28)) :args (_let_19 false _let_5 false _let_24 false _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_16 tptp.xq QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.aDivisorOf0 BOUND_VARIABLE_965 W0)))) :args (_let_22))) _let_23 :args (_let_21 false _let_22)) :args (false true _let_18 false _let_19 false _let_21)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aInteger0 W0) true)) (tptp.aInteger0 tptp.sz00) (tptp.aInteger0 tptp.sz10) _let_10 _let_9 (forall ((W0 $$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 $$unsorted)) (=> (tptp.aInteger0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))) (forall ((W0 $$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 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1)) (=> (= (tptp.sdtasdt0 W0 W1) tptp.sz00) (or (= W0 tptp.sz00) (= W1 tptp.sz00))))) _let_8 _let_7 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aInteger0 W0) (tptp.aInteger0 W1) (not (= W1 tptp.sz00))) (tptp.sdteqdtlpzmzozddtrp0 W0 W0 W1))) _let_6 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.59 )
% 0.20/0.59 % SZS output end Proof for NUM425+1
% 0.20/0.59 % cvc5---1.0.5 exiting
% 0.20/0.59 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------