TSTP Solution File: SEU045+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU045+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n031.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 16:29:08 EDT 2023
% Result : Theorem 2.18s 2.34s
% Output : Proof 2.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SEU045+1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n031.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 : Wed Aug 23 18:57:05 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 2.18/2.34 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.oM4pTuvkzX/cvc5---1.0.5_20766.p...
% 2.18/2.34 ------- get file name : TPTP file name is SEU045+1
% 2.18/2.34 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20766.smt2...
% 2.18/2.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.18/2.34 % SZS status Theorem for SEU045+1
% 2.18/2.34 % SZS output start Proof for SEU045+1
% 2.18/2.34 (
% 2.18/2.34 (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (forall ((C $$unsorted)) (=> (and (tptp.relation C) (tptp.function C)) (= (= B (tptp.relation_rng_restriction A C)) (and (forall ((D $$unsorted)) (= (tptp.in D (tptp.relation_dom B)) (and (tptp.in D (tptp.relation_dom C)) (tptp.in (tptp.apply C D) A)))) (forall ((D $$unsorted)) (=> (tptp.in D (tptp.relation_dom B)) (= (tptp.apply B D) (tptp.apply C D)))))))))))) (let ((_let_2 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_rng_restriction A C))) (=> (and (tptp.relation C) (tptp.function C)) (=> (tptp.in B (tptp.relation_dom _let_1)) (= (tptp.apply _let_1 B) (tptp.apply C B))))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_rng_restriction A B))) (=> (and (tptp.relation B) (tptp.function B)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.relation B) (tptp.relation (tptp.relation_rng_restriction A B)))))) (let ((_let_5 (tptp.empty tptp.empty_set))) (let ((_let_6 (tptp.relation tptp.empty_set))) (let ((_let_7 (forall ((D $$unsorted)) (let ((_let_1 (tptp.relation_rng_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (or (not (tptp.in D (tptp.relation_dom _let_1))) (= (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 D) (tptp.apply _let_1 D))))))) (let ((_let_8 (tptp.relation_rng_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_9 (= (tptp.apply _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)))) (let ((_let_10 (tptp.relation_dom _let_8))) (let ((_let_11 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_10))) (let ((_let_12 (not _let_11))) (let ((_let_13 (or _let_12 _let_9))) (let ((_let_14 (and (forall ((D $$unsorted)) (= (and (tptp.in D (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)) (tptp.in (tptp.apply SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 D) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (tptp.in D (tptp.relation_dom (tptp.relation_rng_restriction SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))))) _let_7))) (let ((_let_15 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.function _let_8))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.relation _let_8))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20 _let_18 _let_16 _let_14))) (let ((_let_24 (forall ((A $$unsorted) (B $$unsorted) (BOUND_VARIABLE_1082 $$unsorted)) (or (not (tptp.relation B)) (not (tptp.function B)) (not (tptp.relation BOUND_VARIABLE_1082)) (not (tptp.function BOUND_VARIABLE_1082)) (= (= B (tptp.relation_rng_restriction A BOUND_VARIABLE_1082)) (and (forall ((D $$unsorted)) (= (tptp.in D (tptp.relation_dom B)) (and (tptp.in D (tptp.relation_dom BOUND_VARIABLE_1082)) (tptp.in (tptp.apply BOUND_VARIABLE_1082 D) A)))) (forall ((D $$unsorted)) (or (not (tptp.in D (tptp.relation_dom B))) (= (tptp.apply B D) (tptp.apply BOUND_VARIABLE_1082 D)))))))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (and _let_21 _let_19))) (let ((_let_27 (or _let_18 _let_16 _let_26))) (let ((_let_28 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.relation_rng_restriction A B))) (or (not (tptp.relation B)) (not (tptp.function B)) (and (tptp.relation _let_1) (tptp.function _let_1))))))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (or _let_18 _let_16 _let_12 _let_9))) (let ((_let_31 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_rng_restriction A C))) (or (not (tptp.relation C)) (not (tptp.function C)) (not (tptp.in B (tptp.relation_dom _let_1))) (= (tptp.apply _let_1 B) (tptp.apply C B))))))) (let ((_let_32 (not _let_30))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (or))) (let ((_let_35 (not _let_31))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_33) :args (_let_35))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_31))) (REFL :args (_let_32)) :args _let_34)) _let_33 :args (_let_32 true _let_31)))) (let ((_let_37 (REFL :args (_let_30)))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 1)) (CONG _let_37 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_34)) :args ((or _let_15 _let_30))) _let_36 :args (_let_15 true _let_30)))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 0)) (CONG _let_37 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_34)) :args ((or _let_17 _let_30))) _let_36 :args (_let_17 true _let_30)))) (let ((_let_40 (or _let_18 _let_21))) (let ((_let_41 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation B)) (tptp.relation (tptp.relation_rng_restriction A B)))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (not _let_13))) (let ((_let_44 (_let_7))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_44) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in D _let_10) false))))) :args _let_44))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_13)) :args ((or _let_12 _let_9 _let_43))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 2)) (CONG _let_37 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_34)) :args ((or _let_11 _let_30))) _let_36 :args (_let_11 true _let_30)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_30 3)) _let_36 :args ((not _let_9) true _let_30)) :args (_let_43 false _let_11 true _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_14 1)) :args ((or _let_7 (not _let_14)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_18 _let_16 _let_22 _let_20 _let_14 (not _let_23)))) _let_39 _let_38 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_18 _let_21 (not _let_40)))) _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_rng_restriction A B)))) :args (_let_41))) _let_42 :args (_let_40 false _let_41)) :args (_let_21 false _let_17 false _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_26 1)) :args ((or _let_19 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_18 _let_16 _let_26 (not _let_27)))) _let_39 _let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_rng_restriction A B)))) :args (_let_28))) _let_29 :args (_let_27 false _let_28)) :args (_let_26 false _let_17 false _let_15 false _let_27)) :args (_let_19 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.relation B) false)) (tptp.relation_rng_restriction A BOUND_VARIABLE_1082)))) :args (_let_24)))) _let_25 :args (_let_23 false _let_24)) :args (_let_14 false _let_17 false _let_15 false _let_21 false _let_19 false _let_23)) :args (_let_7 false _let_14)) :args (false true _let_13 false _let_7)) :args ((forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) (and _let_5 _let_6) (and _let_5 _let_6 (tptp.relation_empty_yielding tptp.empty_set)) _let_5 (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.function A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.function A))) (let ((_let_2 (tptp.relation A))) (=> (and _let_2 (tptp.empty A) _let_1) (and _let_2 _let_1 (tptp.one_to_one A)))))) (forall ((A $$unsorted)) (not (tptp.empty (tptp.powerset A)))) (forall ((A $$unsorted)) (=> (and (not (tptp.empty A)) (tptp.relation A)) (not (tptp.empty (tptp.relation_dom 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)) (=> (tptp.empty A) (tptp.relation A))) (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 $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) _let_4 _let_3 (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.empty A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B)))) (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.relation A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))
% 2.18/2.36 )
% 2.18/2.36 % SZS output end Proof for SEU045+1
% 2.18/2.36 % cvc5---1.0.5 exiting
% 2.18/2.36 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------