TSTP Solution File: SEU303+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU303+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n012.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 16:30:45 EDT 2023

% Result   : Theorem 0.22s 0.64s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.16  % Problem    : SEU303+1 : TPTP v8.1.2. Released v3.3.0.
% 0.15/0.17  % Command    : do_cvc5 %s %d
% 0.15/0.38  % Computer : n012.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.39  % CPULimit   : 300
% 0.15/0.39  % WCLimit    : 300
% 0.15/0.39  % DateTime   : Wed Aug 23 12:07:30 EDT 2023
% 0.15/0.39  % CPUTime    : 
% 0.22/0.61  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.64  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.pxcQLw4wYG/cvc5---1.0.5_20515.p...
% 0.22/0.64  ------- get file name : TPTP file name is SEU303+1
% 0.22/0.64  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20515.smt2...
% 0.22/0.64  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.64  % SZS status Theorem for SEU303+1
% 0.22/0.64  % SZS output start Proof for SEU303+1
% 0.22/0.64  (
% 0.22/0.64  (let ((_let_1 (not (forall ((A $$unsorted)) (=> (and (tptp.relation A) (tptp.function A)) (=> (tptp.finite (tptp.relation_dom A)) (tptp.finite (tptp.relation_rng A)))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (tptp.relation A) (= (tptp.relation_image A (tptp.relation_dom A)) (tptp.relation_rng A)))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation A) (tptp.function A) (tptp.finite B)) (tptp.finite (tptp.relation_image A B)))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.relation A)) (not (tptp.function A)) (not (tptp.finite B)) (tptp.finite (tptp.relation_image A B)))))) (let ((_let_5 (tptp.relation_dom SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_6 (tptp.relation_image SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_5))) (let ((_let_7 (tptp.finite _let_6))) (let ((_let_8 (tptp.finite _let_5))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.function SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.relation SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_11 _let_9 _let_7))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (not _let_14))) (let ((_let_17 (tptp.relation_rng SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_18 (= _let_17 _let_6))) (let ((_let_19 (tptp.finite _let_17))) (let ((_let_20 (not _let_7))) (let ((_let_21 (or _let_13 _let_18))) (let ((_let_22 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (= (tptp.relation_image A (tptp.relation_dom A)) (tptp.relation_rng A)))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (or _let_13 _let_11 _let_9 _let_19))) (let ((_let_25 (forall ((A $$unsorted)) (or (not (tptp.relation A)) (not (tptp.function A)) (not (tptp.finite (tptp.relation_dom A))) (tptp.finite (tptp.relation_rng A)))))) (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 (REFL :args (_let_24)))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 0)) (CONG _let_31 (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)))) (let ((_let_33 (not _let_19))) (let ((_let_34 (and _let_33 _let_18))) (let ((_let_35 (_let_33 _let_18))) (let ((_let_36 (ASSUME :args (_let_33)))) (let ((_let_37 (ASSUME :args (_let_18)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.relation_image A B)))) :args (_let_4))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_13 _let_11 _let_9 _let_7 _let_16))) _let_32 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 1)) (CONG _let_31 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_28)) :args ((or _let_10 _let_24))) _let_30 :args (_let_10 true _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_24 2)) (CONG _let_31 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_28)) :args ((or _let_8 _let_24))) _let_30 :args (_let_8 true _let_24)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_34)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_36 _let_37) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_37) :args (APPLY_UF tptp.finite)) (FALSE_INTRO _let_36))) :args _let_35)) :args _let_35)) :args (true _let_34)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_19))) (REFL :args ((not _let_18))) (REFL :args (_let_20)) :args _let_28)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_24 3)) _let_30 :args (_let_33 true _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_13 _let_18 (not _let_21)))) _let_32 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.relation A) false))))) :args (_let_22)))) _let_23 :args (_let_21 false _let_22)) :args (_let_18 false _let_12 false _let_21)) :args (_let_20 true _let_19 false _let_18)) :args (_let_16 false _let_12 false _let_10 false _let_8 true _let_7)) _let_15 :args (false true _let_14 false _let_4)) :args (true true true _let_3 (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) _let_2 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation B) (tptp.function B)) (=> (tptp.finite A) (tptp.finite (tptp.relation_image B A))))) _let_1 true))))))))))))))))))))))))))))))))))))))))
% 0.22/0.65  )
% 0.22/0.65  % SZS output end Proof for SEU303+1
% 0.22/0.65  % cvc5---1.0.5 exiting
% 0.22/0.65  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------