TSTP Solution File: SEU200+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU200+1 : TPTP v8.1.2. Released v3.3.0.
% 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 16:29:58 EDT 2023
% Result : Theorem 0.14s 0.44s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : SEU200+1 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.13 % Command : do_cvc5 %s %d
% 0.10/0.32 % Computer : n029.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Thu Aug 24 01:54:53 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.14/0.41 %----Proving TF0_NAR, FOF, or CNF
% 0.14/0.44 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ggt3MlQcMH/cvc5---1.0.5_16884.p...
% 0.14/0.44 ------- get file name : TPTP file name is SEU200+1
% 0.14/0.44 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16884.smt2...
% 0.14/0.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.14/0.44 % SZS status Theorem for SEU200+1
% 0.14/0.44 % SZS output start Proof for SEU200+1
% 0.14/0.44 (
% 0.14/0.44 (let ((_let_1 (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted)) (=> (tptp.relation B) (=> (tptp.subset A B) (and (tptp.subset (tptp.relation_dom A) (tptp.relation_dom B)) (tptp.subset (tptp.relation_rng A) (tptp.relation_rng B)))))))))) (let ((_let_2 (not (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation B) (tptp.subset (tptp.relation_rng (tptp.relation_rng_restriction A B)) (tptp.relation_rng B))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation B) (tptp.subset (tptp.relation_rng_restriction A B) B))))) (let ((_let_4 (tptp.empty tptp.empty_set))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation B) (tptp.relation (tptp.relation_rng_restriction A B)))))) (let ((_let_6 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_7 (tptp.relation_rng_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_8 (tptp.subset (tptp.relation_rng _let_7) (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_9 (and (tptp.subset (tptp.relation_dom _let_7) (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) _let_8))) (let ((_let_10 (tptp.subset _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_11 (not _let_10))) (let ((_let_12 (not _let_6))) (let ((_let_13 (tptp.relation _let_7))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12 _let_11 _let_9))) (let ((_let_16 (or _let_12 _let_8))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation B)) (tptp.subset (tptp.relation_rng (tptp.relation_rng_restriction A B)) (tptp.relation_rng B)))))) (let ((_let_18 (not _let_16))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (or))) (let ((_let_21 (not _let_17))) (let ((_let_22 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_19) :args (_let_21))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_17))) (REFL :args (_let_18)) :args _let_20)) _let_19 :args (_let_18 true _let_17)))) (let ((_let_23 (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_12) _let_6))) :args _let_20)) :args ((or _let_6 _let_16))) _let_22 :args (_let_6 true _let_16)))) (let ((_let_24 (forall ((A $$unsorted) (BOUND_VARIABLE_933 $$unsorted)) (or (not (tptp.relation A)) (not (tptp.relation BOUND_VARIABLE_933)) (not (tptp.subset A BOUND_VARIABLE_933)) (and (tptp.subset (tptp.relation_dom A) (tptp.relation_dom BOUND_VARIABLE_933)) (tptp.subset (tptp.relation_rng A) (tptp.relation_rng BOUND_VARIABLE_933))))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (not _let_9))) (let ((_let_27 (or _let_12 _let_13))) (let ((_let_28 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation B)) (tptp.relation (tptp.relation_rng_restriction A B)))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (or _let_12 _let_10))) (let ((_let_31 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation B)) (tptp.subset (tptp.relation_rng_restriction A B) B))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_12 _let_14 _let_11 _let_9 (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_12 _let_10 (not _let_30)))) _let_23 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_rng_restriction A B)))) :args (_let_31))) _let_32 :args (_let_30 false _let_31)) :args (_let_10 false _let_6 false _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_12 _let_13 (not _let_27)))) _let_23 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_rng_restriction A B)))) :args (_let_28))) _let_29 :args (_let_27 false _let_28)) :args (_let_13 false _let_6 false _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_9 1)) :args ((or _let_8 _let_26))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_16 1)) _let_22 :args ((not _let_8) true _let_16)) :args (_let_26 true _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING ((tptp.subset (tptp.relation_rng A) (tptp.relation_rng BOUND_VARIABLE_933))))) :args (_let_24))) _let_25 :args (_let_15 false _let_24)) _let_23 :args (false false _let_10 false _let_13 true _let_9 false _let_15 false _let_6)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.relation A))) true true true true _let_5 true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (forall ((A $$unsorted)) (not (tptp.empty (tptp.powerset A)))) _let_4 (and _let_4 (tptp.relation tptp.empty_set)) (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_dom A))))) (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_rng A))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_dom A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.relation_rng A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)))))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.relation A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B)))) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_3 _let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) _let_1 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.in A B) (tptp.element B (tptp.powerset C)) (tptp.empty C)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) true)))))))))))))))))))))))))))))))))))
% 0.14/0.44 )
% 0.14/0.44 % SZS output end Proof for SEU200+1
% 0.14/0.44 % cvc5---1.0.5 exiting
% 0.14/0.44 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------