TSTP Solution File: SWW469_1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWW469_1 : TPTP v8.1.2. Released v5.3.0.
% 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 : Fri Sep  1 00:20:54 EDT 2023

% Result   : Theorem 0.22s 0.53s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SWW469_1 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n008.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   : Sun Aug 27 21:30:02 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.53  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.A5sz6ZQIgL/cvc5---1.0.5_20364.p...
% 0.22/0.53  ------- get file name : TPTP file name is SWW469_1
% 0.22/0.53  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_20364.smt2...
% 0.22/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.53  % SZS status Theorem for SWW469_1
% 0.22/0.53  % SZS output start Proof for SWW469_1
% 0.22/0.53  (
% 0.22/0.53  (let ((_let_1 (not (forall ((T tptp.state)) (not (forall ((S tptp.state)) (= S T))))))) (let ((_let_2 (= tptp.hoare_1310879719gleton (exists ((S tptp.state) (T tptp.state)) (not (= S T)))))) (let ((_let_3 (forall ((S tptp.state)) (= S SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_4 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_5 (forall ((T tptp.state)) (not (forall ((S tptp.state)) (= T S)))))) (let ((_let_6 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_7 (or))) (let ((_let_8 (_let_3))) (let ((_let_9 (not _let_5))) (let ((_let_10 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_6) :args (_let_9)) (REWRITE :args ((=> _let_9 (not (not (forall ((S tptp.state)) (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 S))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_5))) (REFL :args _let_8) :args _let_7)) _let_6 :args (_let_3 true _let_5)))) (let ((_let_11 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_12 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_13 (not _let_4))) (let ((_let_14 (ASSUME :args _let_8))) (let ((_let_15 (forall ((S tptp.state) (T tptp.state)) (= S T)))) (let ((_let_16 (not _let_12))) (let ((_let_17 (not _let_15))) (let ((_let_18 (_let_16))) (let ((_let_19 (_let_17))) (let ((_let_20 (and _let_16 _let_11))) (let ((_let_21 (_let_16 _let_11))) (let ((_let_22 (ASSUME :args _let_18))) (let ((_let_23 (ASSUME :args (_let_11)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_8)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_20)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_22 _let_23) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (SYMM _let_23) :args (=)) (FALSE_INTRO _let_22))) :args _let_21)) :args _let_21)) :args (true _let_20)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_12))) (REFL :args ((not _let_11))) (REFL :args (_let_13)) :args _let_7)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_19)) :args _let_19)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_15))) (REFL :args _let_18) :args _let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (EQUIV_ELIM1 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)))) :args ((or _let_17 (not tptp.hoare_1310879719gleton)))) (ASSUME :args (tptp.hoare_1310879719gleton)) :args (_let_17 false tptp.hoare_1310879719gleton)) :args (_let_16 true _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_8)) _let_10 :args (_let_11 false _let_3)) :args (_let_13 true _let_12 false _let_11)) _let_10 :args (false true _let_4 false _let_3)) :args (_let_2 (not tptp.induct_false) tptp.induct_true tptp.induct_true tptp.hoare_1310879719gleton _let_1 true))))))))))))))))))))))))))
% 0.22/0.53  )
% 0.22/0.53  % SZS output end Proof for SWW469_1
% 0.22/0.53  % cvc5---1.0.5 exiting
% 0.22/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------