%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU080+1 : TPTP v8.1.2. Released v3.2.0.
% 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 16:29:13 EDT 2023

% Result   : Theorem 0.89s 1.09s
% Output   : Proof 0.89s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU080+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n029.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 20:21:22 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.89/1.09  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.juB8bNzMHW/cvc5---1.0.5_15357.p...
% 0.89/1.09  ------- get file name : TPTP file name is SEU080+1
% 0.89/1.09  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_15357.smt2...
% 0.89/1.09  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.89/1.09  % SZS status Theorem for SEU080+1
% 0.89/1.09  % SZS output start Proof for SEU080+1
% 0.89/1.09  (
% 0.89/1.09  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_rng C))) (=> (and (tptp.relation C) (tptp.function C)) (=> (and (= (tptp.relation_inverse_image C A) (tptp.relation_inverse_image C B)) (tptp.subset A _let_1) (tptp.subset B _let_1)) (= A B)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.relation C) (tptp.function C)) (=> (and (tptp.subset (tptp.relation_inverse_image C A) (tptp.relation_inverse_image C B)) (tptp.subset A (tptp.relation_rng C))) (tptp.subset A B)))))) (let ((_let_3 (tptp.relation tptp.empty_set))) (let ((_let_4 (tptp.empty tptp.empty_set))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (= A B) (and (tptp.subset A B) (tptp.subset B A)))))) (let ((_let_6 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_7 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_8 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_9 (and _let_8 _let_7))) (let ((_let_10 (= _let_6 _let_9))) (let ((_let_11 (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_12 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 _let_11))) (let ((_let_13 (not _let_12))) (let ((_let_14 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 _let_11))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.relation_inverse_image SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_17 (tptp.relation_inverse_image SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_18 (= _let_17 _let_16))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_21 (not _let_20))) (let ((_let_22 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_23 (not _let_22))) (let ((_let_24 (or _let_23 _let_21 _let_19 _let_15 _let_13 _let_6))) (let ((_let_25 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.relation_rng C))) (or (not (tptp.relation C)) (not (tptp.function C)) (not (= (tptp.relation_inverse_image C A) (tptp.relation_inverse_image C B))) (not (tptp.subset A _let_1)) (not (tptp.subset B _let_1)) (= A B)))))) (let ((_let_26 (not _let_24))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (or))) (let ((_let_29 (not _let_25))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_27) :args (_let_29))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_25))) (REFL :args (_let_26)) :args _let_28)) _let_27 :args (_let_26 true _let_25)))) (let ((_let_31 (tptp.subset _let_16 _let_17))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_23 _let_21 _let_32 _let_13 _let_7))) (let ((_let_34 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.relation C)) (not (tptp.function C)) (not (tptp.subset (tptp.relation_inverse_image C A) (tptp.relation_inverse_image C B))) (not (tptp.subset A (tptp.relation_rng C))) (tptp.subset A B))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (_let_34))) (let ((_let_37 ((not (= (tptp.subset A (tptp.relation_rng C)) false)) (tptp.relation_inverse_image C B)))) (let ((_let_38 (tptp.subset _let_17 _let_16))) (let ((_let_39 (and _let_31 _let_38))) (let ((_let_40 (= _let_18 _let_39))) (let ((_let_41 (_let_5))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 ((tptp.subset A B)))) (let ((_let_44 (REFL :args (_let_24)))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_40)) :args ((or _let_19 _let_39 (not _let_40)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 2)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_28)) :args ((or _let_18 _let_24))) _let_30 :args (_let_18 true _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_16 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_41))) _let_42 :args (_let_40 false _let_5)) :args (_let_39 false _let_18 false _let_40)))) (let ((_let_46 (not _let_39))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 1)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_28)) :args ((or _let_20 _let_24))) _let_30 :args (_let_20 true _let_24)))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 0)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_28)) :args ((or _let_22 _let_24))) _let_30 :args (_let_22 true _let_24)))) (let ((_let_49 (not _let_38))) (let ((_let_50 (or _let_23 _let_21 _let_49 _let_15 _let_8))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_10)) :args ((or _let_6 (not _let_9) (not _let_10)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_41)) _let_42 :args (_let_10 false _let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_9)) :args ((or (not _let_8) (not _let_7) _let_9))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_23 _let_21 _let_15 _let_49 _let_8 (not _let_50)))) _let_48 _let_47 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 3)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_14))) :args _let_28)) :args ((or _let_14 _let_24))) _let_30 :args (_let_14 true _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_39 1)) :args ((or _let_38 _let_46))) _let_45 :args (_let_38 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_36)) _let_35 :args (_let_50 false _let_34)) :args (_let_8 false _let_22 false _let_20 false _let_14 false _let_38 false _let_50)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_23 _let_21 _let_13 _let_32 _let_7 (not _let_33)))) _let_48 _let_47 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 4)) (CONG _let_44 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_28)) :args ((or _let_12 _let_24))) _let_30 :args (_let_12 true _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_39 0)) :args ((or _let_31 _let_46))) _let_45 :args (_let_31 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_36)) _let_35 :args (_let_33 false _let_34)) :args (_let_7 false _let_22 false _let_20 false _let_12 false _let_31 false _let_33)) :args (_let_9 false _let_8 false _let_7)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_24 5)) _let_30 :args ((not _let_6) true _let_24)) :args (false false _let_10 false _let_9 true _let_6)) :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 $$unsorted)) (let ((_let_1 (tptp.function A))) (let ((_let_2 (tptp.relation A))) (=> (and _let_2 (tptp.empty A) _let_1) (and _let_2 _let_1 (tptp.one_to_one A)))))) _let_5 (forall ((A $$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.powerset A)))) _let_4 (and _let_4 _let_3) (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_rng A))) (=> (tptp.empty A) (and (tptp.empty _let_1) (tptp.relation _let_1))))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) (exists ((A $$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 (tptp.relation A) (tptp.empty A) (tptp.function 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))) (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))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_2 _let_1 (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 $$unsorted) (B $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.89/1.09  )
% 0.89/1.09  % SZS output end Proof for SEU080+1
% 0.89/1.09  % cvc5---1.0.5 exiting
% 0.89/1.10  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------