TSTP Solution File: SEU177+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU177+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 16:29:49 EDT 2023
% Result : Theorem 10.44s 10.74s
% Output : Proof 10.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU177+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.18/0.35 % Computer : n029.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Wed Aug 23 15:26:22 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 10.44/10.74 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.hSjieV0lU5/cvc5---1.0.5_27373.p...
% 10.44/10.74 ------- get file name : TPTP file name is SEU177+1
% 10.44/10.74 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_27373.smt2...
% 10.44/10.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.44/10.74 --- Run --no-e-matching --full-saturate-quant at 5...
% 10.44/10.74 % SZS status Theorem for SEU177+1
% 10.44/10.74 % SZS output start Proof for SEU177+1
% 10.44/10.74 (
% 10.44/10.74 (let ((_let_1 (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted)) (= (= B (tptp.relation_rng A)) (forall ((C $$unsorted)) (= (tptp.in C B) (exists ((D $$unsorted)) (tptp.in (tptp.ordered_pair D C) A)))))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (tptp.relation A) (forall ((B $$unsorted)) (= (= B (tptp.relation_dom A)) (forall ((C $$unsorted)) (= (tptp.in C B) (exists ((D $$unsorted)) (tptp.in (tptp.ordered_pair C D) A)))))))))) (let ((_let_3 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.relation C) (=> (tptp.in (tptp.ordered_pair A B) C) (and (tptp.in A (tptp.relation_dom C)) (tptp.in B (tptp.relation_rng C))))))))) (let ((_let_4 (tptp.in (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_5 (forall ((D $$unsorted)) (not (tptp.in (tptp.ordered_pair D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))) (let ((_let_6 (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_7 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_6))) (let ((_let_8 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_9 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_8))) (let ((_let_10 (and _let_9 _let_7))) (let ((_let_11 (not _let_4))) (let ((_let_12 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_11 _let_10))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.relation C)) (not (tptp.in (tptp.ordered_pair A B) C)) (and (tptp.in A (tptp.relation_dom C)) (tptp.in B (tptp.relation_rng C))))))) (let ((_let_16 (not _let_14))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (or))) (let ((_let_19 (not _let_15))) (let ((_let_20 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_17) :args (_let_19))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_15))) (REFL :args (_let_16)) :args _let_18)) _let_17 :args (_let_16 true _let_15)))) (let ((_let_21 (REFL :args (_let_14)))) (let ((_let_22 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 1)) (CONG _let_21 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_4))) :args _let_18)) :args ((or _let_4 _let_14))) _let_20 :args (_let_4 true _let_14)))) (let ((_let_23 (not _let_5))) (let ((_let_24 (= _let_7 _let_23))) (let ((_let_25 (forall ((C $$unsorted)) (= (not (forall ((D $$unsorted)) (not (tptp.in (tptp.ordered_pair D C) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (tptp.in C (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))))) (let ((_let_26 (or _let_13 _let_25))) (let ((_let_27 (forall ((A $$unsorted) (BOUND_VARIABLE_850 $$unsorted)) (or (not (tptp.relation A)) (= (= (tptp.relation_rng A) BOUND_VARIABLE_850) (forall ((C $$unsorted)) (= (not (forall ((D $$unsorted)) (not (tptp.in (tptp.ordered_pair D C) A)))) (tptp.in C BOUND_VARIABLE_850)))))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 0)) (CONG _let_21 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_18)) :args ((or _let_12 _let_14))) _let_20 :args (_let_12 true _let_14)))) (let ((_let_30 (_let_25))) (let ((_let_31 (forall ((D $$unsorted)) (not (tptp.in (tptp.ordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 D) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))) (let ((_let_32 (not _let_31))) (let ((_let_33 (= _let_9 _let_32))) (let ((_let_34 (forall ((C $$unsorted)) (= (not (forall ((D $$unsorted)) (not (tptp.in (tptp.ordered_pair C D) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (tptp.in C (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))))) (let ((_let_35 (or _let_13 _let_34))) (let ((_let_36 (forall ((A $$unsorted) (BOUND_VARIABLE_821 $$unsorted)) (or (not (tptp.relation A)) (= (= (tptp.relation_dom A) BOUND_VARIABLE_821) (forall ((C $$unsorted)) (= (not (forall ((D $$unsorted)) (not (tptp.in (tptp.ordered_pair C D) A)))) (tptp.in C BOUND_VARIABLE_821)))))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (_let_34))) (let ((_let_39 (_let_31))) (let ((_let_40 (not _let_33))) (let ((_let_41 (not _let_24))) (let ((_let_42 (_let_5))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_42) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_42)) :args ((or _let_11 _let_23))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_24)) (CONG (REFL :args (_let_41)) (REFL :args (_let_7)) (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_5))) :args _let_18)) :args ((or _let_7 _let_5 _let_41))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_10)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_14 2)) _let_20 :args ((not _let_10) true _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_33)) (CONG (REFL :args (_let_40)) (REFL :args (_let_9)) (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_18)) :args ((or _let_9 _let_31 _let_40))) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_39) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_39)) :args ((or _let_11 _let_32))) _let_22 :args (_let_32 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_38) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_PROP)) :args _let_38))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_13 _let_34 (not _let_35)))) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_37 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_8 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_36)))) _let_37 :args (_let_35 false _let_36)) :args (_let_34 false _let_12 false _let_35)) :args (_let_33 false _let_34)) :args (_let_9 true _let_31 false _let_33)) :args ((not _let_7) true _let_10 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_30) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_CBQI_PROP)) :args _let_30))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_13 _let_25 (not _let_26)))) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_28 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_6 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_27)))) _let_28 :args (_let_26 false _let_27)) :args (_let_25 false _let_12 false _let_26)) :args (_let_24 false _let_25)) :args (_let_5 true _let_7 false _let_24)) _let_22 :args (false false _let_5 false _let_4)) :args (true (tptp.empty tptp.empty_set) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) true true true (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted)) (not (tptp.empty (tptp.singleton A)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.empty (tptp.unordered_pair A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) (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 $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) true true true (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.empty (tptp.ordered_pair A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ordered_pair A B) (tptp.unordered_pair (tptp.unordered_pair A B) (tptp.singleton A)))) _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))
% 10.44/10.74 )
% 10.44/10.74 % SZS output end Proof for SEU177+1
% 10.44/10.74 % cvc5---1.0.5 exiting
% 10.58/10.75 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------