TSTP Solution File: NUM405+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM405+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.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 10:43:42 EDT 2023
% Result : Theorem 20.52s 20.91s
% Output : Proof 20.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM405+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n008.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 12:36:17 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 20.52/20.91 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.yiV2Acz4i5/cvc5---1.0.5_19647.p...
% 20.52/20.91 ------- get file name : TPTP file name is NUM405+1
% 20.52/20.91 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_19647.smt2...
% 20.52/20.91 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 20.52/20.91 --- Run --no-e-matching --full-saturate-quant at 5...
% 20.52/20.91 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.52/20.91 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 20.52/20.91 % SZS status Theorem for NUM405+1
% 20.52/20.91 % SZS output start Proof for NUM405+1
% 20.52/20.91 (
% 20.52/20.91 (let ((_let_1 (not (forall ((A $$unsorted)) (not (forall ((B $$unsorted)) (=> (tptp.ordinal B) (tptp.in B A)))))))) (let ((_let_2 (forall ((A $$unsorted)) (not (forall ((B $$unsorted)) (= (tptp.in B A) (tptp.ordinal B))))))) (let ((_let_3 (forall ((A $$unsorted)) (exists ((B $$unsorted)) (forall ((C $$unsorted)) (= (tptp.in C B) (and (tptp.in C A) (tptp.ordinal C)))))))) (let ((_let_4 (tptp.relation tptp.empty_set))) (let ((_let_5 (tptp.empty tptp.empty_set))) (let ((_let_6 (tptp.relation_empty_yielding tptp.empty_set))) (let ((_let_7 (tptp.ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53))) (let ((_let_8 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_9 (and _let_8 _let_7))) (let ((_let_10 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44))) (let ((_let_11 (= _let_10 _let_9))) (let ((_let_12 (forall ((C $$unsorted)) (= (and (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15) (tptp.ordinal C)) (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44))))) (let ((_let_13 (forall ((B $$unsorted)) (not (forall ((C $$unsorted)) (= (tptp.in C B) (and (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15) (tptp.ordinal C)))))))) (let ((_let_14 (forall ((A $$unsorted)) (not (forall ((B $$unsorted)) (not (forall ((C $$unsorted)) (= (tptp.in C B) (and (tptp.in C A) (tptp.ordinal C)))))))))) (let ((_let_15 (not _let_13))) (let ((_let_16 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_17 (or))) (let ((_let_18 (_let_12))) (let ((_let_19 (_let_15))) (let ((_let_20 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_53 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_21 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_18) :args _let_20) :args _let_18))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_19)) :args _let_19) (REWRITE :args ((=> _let_15 (not (not (forall ((C $$unsorted)) (= (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44) (and (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15) (tptp.ordinal C))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_13))) (REFL :args _let_18) :args _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_FMF_FMC_EXH)) :args (_let_14))) _let_16 :args (_let_15 false _let_14)) :args (_let_12 true _let_13)) :args (_let_11 false _let_12)))) (let ((_let_22 (= _let_7 _let_10))) (let ((_let_23 (forall ((B $$unsorted)) (= (tptp.ordinal B) (tptp.in B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44))))) (let ((_let_24 (not _let_22))) (let ((_let_25 (not _let_23))) (let ((_let_26 (_let_2))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (_let_25))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_28)) :args _let_28)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_23))) (REFL :args (_let_24)) :args _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_26))) _let_27 :args (_let_25 false _let_2)) :args (_let_24 true _let_23)))) (let ((_let_30 (not _let_7))) (let ((_let_31 (or _let_30 _let_8))) (let ((_let_32 (_let_22))) (let ((_let_33 (forall ((B $$unsorted)) (or (not (tptp.ordinal B)) (tptp.in B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))))) (let ((_let_34 (forall ((A $$unsorted)) (not (forall ((B $$unsorted)) (or (not (tptp.ordinal B)) (tptp.in B A))))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (_let_33))) (let ((_let_37 (not _let_34))) (let ((_let_38 (not _let_11))) (let ((_let_39 (not _let_9))) (let ((_let_40 (_let_11))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_9)) :args ((or _let_30 (not _let_8) _let_9))) (REORDERING (CNF_EQUIV_POS2 :args _let_40) :args ((or _let_10 _let_39 _let_38))) _let_21 (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_8 (not _let_31)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_36) :args _let_20) :args _let_36)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_35) :args (_let_37)) (REWRITE :args ((=> _let_37 (not (not _let_33))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_34))) (REFL :args _let_36) :args _let_17)) _let_35 :args (_let_33 true _let_34)) :args (_let_31 false _let_33)) (CNF_EQUIV_NEG2 :args _let_32) _let_29 :args (_let_30 true _let_9 false _let_11 false _let_8 false _let_31 true _let_10 true _let_22)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_40) :args ((or (not _let_10) _let_9 _let_38))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_9 1)) :args ((or _let_7 _let_39))) _let_41 :args (_let_39 true _let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_32) :args ((or _let_7 _let_10 _let_22))) _let_41 _let_29 :args (_let_10 true _let_7 true _let_22)) _let_21 :args (false true _let_9 false _let_10 false _let_11)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.function A))) (forall ((A $$unsorted)) (=> (tptp.ordinal A) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.relation A))) (forall ((A $$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 $$unsorted)) (=> (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A)) (tptp.ordinal A))) (forall ((A $$unsorted)) (=> (tptp.empty A) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A) (tptp.ordinal A)))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (and _let_5 _let_4 _let_6) _let_5 (and _let_4 _let_6 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) _let_5 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set)) (and _let_5 _let_4) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A) (tptp.ordinal A))) (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))) (exists ((A $$unsorted)) (tptp.empty 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) (tptp.empty A) (tptp.epsilon_transitive A) (tptp.epsilon_connected A) (tptp.ordinal A))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.relation A))) (exists ((A $$unsorted)) (not (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.epsilon_transitive A) (tptp.epsilon_connected A) (tptp.ordinal A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_non_empty A) (tptp.function A))) _let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) _let_2 _let_1 (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))
% 20.52/20.91 )
% 20.52/20.91 % SZS output end Proof for NUM405+1
% 20.52/20.91 % cvc5---1.0.5 exiting
% 20.52/20.92 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------