TSTP Solution File: SET604+3 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET604+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n031.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 14:39:22 EDT 2023

% Result   : Theorem 0.20s 0.52s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : SET604+3 : TPTP v8.1.2. Released v2.2.0.
% 0.14/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n031.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Aug 26 12:59:38 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.52  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.3mWHZ7H0xJ/cvc5---1.0.5_30453.p...
% 0.20/0.52  ------- get file name : TPTP file name is SET604+3
% 0.20/0.52  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30453.smt2...
% 0.20/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.52  % SZS status Theorem for SET604+3
% 0.20/0.52  % SZS output start Proof for SET604+3
% 0.20/0.52  (
% 0.20/0.52  (let ((_let_1 (not (forall ((B $$unsorted)) (= (tptp.difference tptp.empty_set B) tptp.empty_set))))) (let ((_let_2 (forall ((B $$unsorted) (C $$unsorted)) (= (= (tptp.difference B C) tptp.empty_set) (tptp.subset B C))))) (let ((_let_3 (forall ((B $$unsorted)) (tptp.subset tptp.empty_set B)))) (let ((_let_4 (tptp.subset tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_5 (_let_3))) (let ((_let_6 (ASSUME :args _let_5))) (let ((_let_7 (= tptp.empty_set (tptp.difference tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_8 (= _let_7 _let_4))) (let ((_let_9 (not _let_4))) (let ((_let_10 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.subset B C) (= tptp.empty_set (tptp.difference B C)))))) (let ((_let_11 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_12 (forall ((B $$unsorted)) (= tptp.empty_set (tptp.difference tptp.empty_set B))))) (let ((_let_13 (not _let_7))) (let ((_let_14 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_15 (not _let_12))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_6 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subset tptp.empty_set B) true))))) :args _let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_8)) :args ((or _let_7 _let_9 (not _let_8)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_14) :args (_let_15))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_15) _let_12))) (REFL :args (_let_13)) :args (or))) _let_14 :args (_let_13 true _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_11 :args (tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.difference B C)))) :args (_let_10)))) _let_11 :args (_let_8 false _let_10)) :args (_let_9 true _let_7 false _let_8)) _let_6 :args (false true _let_4 false _let_3)) :args (_let_3 _let_2 (forall ((B $$unsorted)) (not (tptp.member B tptp.empty_set))) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.difference B C)) (and (tptp.member D B) (not (tptp.member D C))))) (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (and (tptp.subset B C) (tptp.subset C B)))) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.subset B C) (forall ((D $$unsorted)) (=> (tptp.member D B) (tptp.member D C))))) (forall ((B $$unsorted)) (tptp.subset B B)) (forall ((B $$unsorted)) (= (tptp.empty B) (forall ((C $$unsorted)) (not (tptp.member C B))))) _let_1 true))))))))))))))))))
% 0.20/0.52  )
% 0.20/0.52  % SZS output end Proof for SET604+3
% 0.20/0.52  % cvc5---1.0.5 exiting
% 0.20/0.52  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------