TSTP Solution File: SEU230+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU230+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n015.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 16:30:14 EDT 2023
% Result : Theorem 20.92s 21.24s
% Output : Proof 20.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU230+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Aug 23 12:42:19 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 20.92/21.24 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.xhf6legmQO/cvc5---1.0.5_4018.p...
% 20.92/21.24 ------- get file name : TPTP file name is SEU230+1
% 20.92/21.24 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_4018.smt2...
% 20.92/21.24 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 20.92/21.24 --- Run --no-e-matching --full-saturate-quant at 5...
% 20.92/21.24 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.92/21.24 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 20.92/21.24 % SZS status Theorem for SEU230+1
% 20.92/21.24 % SZS output start Proof for SEU230+1
% 20.92/21.24 (
% 20.92/21.24 (let ((_let_1 (forall ((A $$unsorted)) (tptp.in A (tptp.succ A))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.relation tptp.empty_set))) (let ((_let_4 (tptp.empty tptp.empty_set))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_union2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (tptp.in D A) (tptp.in D B)))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= C A))))))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.succ A) (tptp.set_union2 A (tptp.singleton A)))))) (let ((_let_8 (tptp.succ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_9 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_8))) (let ((_let_10 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_11 (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_10))) (let ((_let_12 (= _let_8 _let_11))) (let ((_let_13 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_11))) (let ((_let_14 (not _let_9))) (let ((_let_15 (_let_2))) (let ((_let_16 (ASSUME :args _let_15))) (let ((_let_17 (or))) (let ((_let_18 (_let_14))) (let ((_let_19 (_let_7))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_22 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_10))) (let ((_let_23 (or (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) _let_22))) (let ((_let_24 (= _let_13 _let_23))) (let ((_let_25 (forall ((D $$unsorted)) (let ((_let_1 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (= (tptp.in D (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_1)) (or (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11) (tptp.in D _let_1))))))) (let ((_let_26 (_let_5))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (_let_25))) (let ((_let_29 (forall ((C $$unsorted)) (= (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) (= C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))))) (let ((_let_30 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= A C))))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (_let_29))) (let ((_let_33 (ASSUME :args (_let_13)))) (let ((_let_34 (ASSUME :args (_let_12)))) (let ((_let_35 (ASSUME :args _let_18))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_33 _let_34 _let_35) :args (_let_14 _let_12 _let_13)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_35)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) (SYMM (SYMM _let_34)) :args (APPLY_UF tptp.in)) (TRUE_INTRO _let_33))) :args (_let_13 _let_12 _let_14)) :args ((not (and _let_14 _let_12 _let_13)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_9))) (REFL :args ((not _let_12))) (REFL :args ((not _let_13))) :args _let_17)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_24)) :args ((or _let_13 (not _let_23) (not _let_24)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_23 1)) :args ((or (not _let_22) _let_23))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_32) :args _let_21) :args _let_32))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_10 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_30)))) _let_31 :args (_let_29 false _let_30)) :args (_let_22 false _let_29)) :args (_let_23 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_28) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_10 _let_11 QUANTIFIERS_INST_CBQI_PROP)) :args _let_26))) _let_27 :args (_let_25 false _let_5)) :args (_let_24 false _let_25)) :args (_let_13 false _let_23 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args _let_21) :args _let_19)) _let_20 :args (_let_12 false _let_7)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_16) :args _let_15)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args _let_18) :args _let_17)) _let_16 :args (_let_14 true _let_1)) :args (false false _let_13 false _let_12 true _let_9)) :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.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) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))) _let_7 _let_6 _let_5 true true true true true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (and _let_4 _let_3 (tptp.relation_empty_yielding tptp.empty_set)) (forall ((A $$unsorted)) (not (tptp.empty (tptp.succ A)))) _let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation A) (tptp.relation B)) (tptp.relation (tptp.set_union2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 B A))))) (and _let_4 _let_3) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A A) A)) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) (exists ((A $$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 $$unsorted)) (and (not (tptp.empty A)) (tptp.relation A))) (exists ((A $$unsorted)) (not (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A) (tptp.function A))) _let_2 (forall ((A $$unsorted)) (= (tptp.set_union2 A tptp.empty_set) A)) (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)))) (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))))))))))))))))))))))))))))))))))))))
% 20.92/21.24 )
% 20.92/21.24 % SZS output end Proof for SEU230+1
% 20.92/21.24 % cvc5---1.0.5 exiting
% 20.92/21.25 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------