TSTP Solution File: NUM533+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM533+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n032.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 10:44:50 EDT 2023
% Result : Theorem 0.14s 0.42s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM533+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % Command : do_cvc5 %s %d
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri Aug 25 13:00:13 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.14/0.39 %----Proving TF0_NAR, FOF, or CNF
% 0.14/0.42 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.kgz7c3YOhR/cvc5---1.0.5_21978.p...
% 0.14/0.42 ------- get file name : TPTP file name is NUM533+1
% 0.14/0.42 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_21978.smt2...
% 0.14/0.42 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.14/0.42 % SZS status Theorem for NUM533+1
% 0.14/0.42 % SZS output start Proof for NUM533+1
% 0.14/0.42 (
% 0.14/0.42 (let ((_let_1 (tptp.aSubsetOf0 tptp.xA tptp.xC))) (let ((_let_2 (tptp.aSubsetOf0 tptp.xB tptp.xC))) (let ((_let_3 (tptp.aSubsetOf0 tptp.xA tptp.xB))) (let ((_let_4 (not (=> (and _let_3 _let_2) _let_1)))) (let ((_let_5 (tptp.aSet0 tptp.xC))) (let ((_let_6 (tptp.aSet0 tptp.xB))) (let ((_let_7 (tptp.aSet0 tptp.xA))) (let ((_let_8 (and _let_7 _let_6 _let_5))) (let ((_let_9 (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (= (tptp.aSubsetOf0 W1 W0) (and (tptp.aSet0 W1) (forall ((W2 $$unsorted)) (=> (tptp.aElementOf0 W2 W1) (tptp.aElementOf0 W2 W0)))))))))) (let ((_let_10 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.xC))) (let ((_let_11 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.xB))) (let ((_let_12 (not _let_11))) (let ((_let_13 (or _let_12 _let_10))) (let ((_let_14 (tptp.aElementOf0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.xA))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_10))) (let ((_let_17 (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 tptp.xA)) (tptp.aElementOf0 W2 tptp.xC))))) (let ((_let_18 (not _let_16))) (let ((_let_19 (and _let_7 _let_17))) (let ((_let_20 (not _let_17))) (let ((_let_21 (= _let_1 _let_19))) (let ((_let_22 (not _let_19))) (let ((_let_23 (not _let_5))) (let ((_let_24 (or _let_23 _let_21))) (let ((_let_25 (forall ((W0 $$unsorted) (BOUND_VARIABLE_788 $$unsorted)) (or (not (tptp.aSet0 W0)) (= (tptp.aSubsetOf0 BOUND_VARIABLE_788 W0) (and (tptp.aSet0 BOUND_VARIABLE_788) (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 BOUND_VARIABLE_788)) (tptp.aElementOf0 W2 W0))))))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (_let_25))) (let ((_let_28 ((tptp.aSubsetOf0 BOUND_VARIABLE_788 W0)))) (let ((_let_29 (ASSUME :args (_let_8)))) (let ((_let_30 (AND_ELIM _let_29 :args (2)))) (let ((_let_31 (ASSUME :args (_let_4)))) (let ((_let_32 (0))) (let ((_let_33 (or))) (let ((_let_34 (_let_20))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_34)) :args _let_34)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_17))) (REFL :args (_let_18)) :args _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_19)) :args ((or (not _let_7) _let_19 _let_20))) (AND_ELIM _let_29 :args _let_32) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_21)) :args ((or _let_1 _let_22 (not _let_21)))) (NOT_IMPLIES_ELIM2 _let_31) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_23 _let_21 (not _let_24)))) _let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.xC tptp.xA QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_27)) _let_26 :args (_let_24 false _let_25)) :args (_let_21 false _let_5 false _let_24)) :args (_let_22 true _let_1 false _let_21)) :args (_let_20 false _let_7 true _let_19)) :args (_let_18 true _let_17)))) (let ((_let_36 (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 tptp.xB)) (tptp.aElementOf0 W2 tptp.xC))))) (let ((_let_37 (and _let_6 _let_36))) (let ((_let_38 (= _let_2 _let_37))) (let ((_let_39 (or _let_23 _let_38))) (let ((_let_40 (1))) (let ((_let_41 (NOT_IMPLIES_ELIM1 _let_31))) (let ((_let_42 (_let_36))) (let ((_let_43 (or _let_15 _let_11))) (let ((_let_44 (forall ((W2 $$unsorted)) (or (not (tptp.aElementOf0 W2 tptp.xA)) (tptp.aElementOf0 W2 tptp.xB))))) (let ((_let_45 (and _let_7 _let_44))) (let ((_let_46 (= _let_3 _let_45))) (let ((_let_47 (not _let_6))) (let ((_let_48 (or _let_47 _let_46))) (let ((_let_49 (_let_44))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_13)) :args ((or _let_10 _let_12 (not _let_13)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_15 _let_11 (not _let_43)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 0)) (CONG (REFL :args (_let_16)) (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_33)) :args ((or _let_14 _let_16))) _let_35 :args (_let_14 true _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_49) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aElementOf0 W2 tptp.xA) false))))) :args _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_45 1)) :args ((or _let_44 (not _let_45)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_46)) :args ((or (not _let_3) _let_45 (not _let_46)))) (AND_ELIM _let_41 :args _let_32) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_47 _let_46 (not _let_48)))) (AND_ELIM _let_29 :args _let_40) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.xB tptp.xA QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_27)) _let_26 :args (_let_48 false _let_25)) :args (_let_46 false _let_6 false _let_48)) :args (_let_45 false _let_3 false _let_46)) :args (_let_44 false _let_45)) :args (_let_43 false _let_44)) :args (_let_11 false _let_14 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_42) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aElementOf0 W2 tptp.xC) true))))) :args _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_37 1)) :args ((or _let_36 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_38)) :args ((or (not _let_2) _let_37 (not _let_38)))) (AND_ELIM _let_41 :args _let_40) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_23 _let_38 (not _let_39)))) _let_30 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.xC tptp.xB QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_28)) :args _let_27)) _let_26 :args (_let_39 false _let_25)) :args (_let_38 false _let_5 false _let_39)) :args (_let_37 false _let_2 false _let_38)) :args (_let_36 false _let_37)) :args (_let_13 false _let_36)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_16 1)) _let_35 :args ((not _let_10) true _let_16)) :args (false false _let_11 false _let_13 true _let_10)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) true)) (forall ((W0 $$unsorted)) (=> (tptp.aElement0 W0) true)) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (forall ((W1 $$unsorted)) (=> (tptp.aElementOf0 W1 W0) (tptp.aElement0 W1))))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (=> (tptp.isFinite0 W0) true))) (forall ((W0 $$unsorted)) (= (= W0 tptp.slcrc0) (and (tptp.aSet0 W0) (not (exists ((W1 $$unsorted)) (tptp.aElementOf0 W1 W0)))))) (tptp.isFinite0 tptp.slcrc0) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (=> (tptp.isCountable0 W0) true))) (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.isCountable0 W0)) (not (tptp.isFinite0 W0)))) (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.isCountable0 W0)) (not (= W0 tptp.slcrc0)))) _let_9 (forall ((W0 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.isFinite0 W0)) (forall ((W1 $$unsorted)) (=> (tptp.aSubsetOf0 W1 W0) (tptp.isFinite0 W1))))) (forall ((W0 $$unsorted)) (=> (tptp.aSet0 W0) (tptp.aSubsetOf0 W0 W0))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aSet0 W0) (tptp.aSet0 W1)) (=> (and (tptp.aSubsetOf0 W0 W1) (tptp.aSubsetOf0 W1 W0)) (= W0 W1)))) _let_8 _let_4 true))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.14/0.42 )
% 0.14/0.42 % SZS output end Proof for NUM533+1
% 0.14/0.42 % cvc5---1.0.5 exiting
% 0.14/0.42 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------