TSTP Solution File: SWW469^1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% 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 : n003.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 0.21s 0.52s
% Output : Proof 0.21s
% 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.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n003.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 : Sun Aug 27 20:07:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TH0
% 0.21/0.52 %------------------------------------------------------------------------------
% 0.21/0.52 % File : SWW469^1 : TPTP v8.1.2. Released v5.3.0.
% 0.21/0.52 % Domain : Software Verification
% 0.21/0.52 % Problem : Hoare's Logic with Procedures line 112, 100 axioms selected
% 0.21/0.52 % Version : Especial.
% 0.21/0.52 % English :
% 0.21/0.52
% 0.21/0.52 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 0.21/0.52 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 0.21/0.52 % Source : [Bla11]
% 0.21/0.52 % Names : hoare_100_thf_l112 [Bla11]
% 0.21/0.52
% 0.21/0.52 % Status : Theorem
% 0.21/0.52 % Rating : 0.15 v8.1.0, 0.00 v7.1.0, 0.12 v7.0.0, 0.00 v6.2.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v5.3.0
% 0.21/0.52 % Syntax : Number of formulae : 10 ( 5 unt; 4 typ; 0 def)
% 0.21/0.52 % Number of atoms : 7 ( 2 equ; 0 cnn)
% 0.21/0.52 % Maximal formula atoms : 2 ( 1 avg)
% 0.21/0.52 % Number of connectives : 4 ( 3 ~; 0 |; 0 &; 0 @)
% 0.21/0.52 % ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% 0.21/0.52 % Maximal formula depth : 5 ( 2 avg)
% 0.21/0.52 % Number of types : 2 ( 1 usr)
% 0.21/0.52 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.21/0.52 % Number of symbols : 4 ( 3 usr; 3 con; 0-2 aty)
% 0.21/0.52 % Number of variables : 4 ( 0 ^; 2 !; 2 ?; 4 :)
% 0.21/0.52 % SPC : TH0_THM_EQU_NAR
% 0.21/0.52
% 0.21/0.52 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 0.21/0.52 % 2011-08-09 18:59:06
% 0.21/0.52 %------------------------------------------------------------------------------
% 0.21/0.52 %----Should-be-implicit typings (1)
% 0.21/0.52 thf(ty_ty_tc__Com__Ostate,type,
% 0.21/0.52 state: $tType ).
% 0.21/0.52
% 0.21/0.52 %----Explicit typings (3)
% 0.21/0.52 thf(sy_c_HOL_Oinduct__false,type,
% 0.21/0.52 induct_false: $o ).
% 0.21/0.52
% 0.21/0.52 thf(sy_c_HOL_Oinduct__true,type,
% 0.21/0.52 induct_true: $o ).
% 0.21/0.52
% 0.21/0.52 thf(sy_c_Hoare__Mirabelle__ghhkfsbqqq_Ostate__not__singleton,type,
% 0.21/0.52 hoare_1821564147gleton: $o ).
% 0.21/0.52
% 0.21/0.52 %----Relevant facts (4)
% 0.21/0.52 thf(fact_0_state__not__singleton__def,axiom,
% 0.21/0.52 ( hoare_1821564147gleton
% 0.21/0.52 <=> ? [S: state,T: state] : ( S != T ) ) ).
% 0.21/0.52
% 0.21/0.52 thf(fact_1_induct__false__def,axiom,
% 0.21/0.52 ~ induct_false ).
% 0.21/0.52
% 0.21/0.52 thf(fact_2_induct__trueI,axiom,
% 0.21/0.52 induct_true ).
% 0.21/0.52
% 0.21/0.52 thf(fact_3_induct__true__def,axiom,
% 0.21/0.52 induct_true ).
% 0.21/0.52
% 0.21/0.52 %----Conjectures (2)
% 0.21/0.52 thf(conj_0,hypothesis,
% 0.21/0.52 hoare_1821564147gleton ).
% 0.21/0.52
% 0.21/0.52 thf(conj_1,conjecture,
% 0.21/0.52 ! [T: state] :
% 0.21/0.52 ~ ! [S: state] : ( S = T ) ).
% 0.21/0.52
% 0.21/0.52 %------------------------------------------------------------------------------
% 0.21/0.52 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.A2hsgEAHi5/cvc5---1.0.5_8789.p...
% 0.21/0.52 (declare-sort $$unsorted 0)
% 0.21/0.52 (declare-sort tptp.state 0)
% 0.21/0.52 (declare-fun tptp.induct_false () Bool)
% 0.21/0.52 (declare-fun tptp.induct_true () Bool)
% 0.21/0.52 (declare-fun tptp.hoare_1821564147gleton () Bool)
% 0.21/0.52 (assert (= tptp.hoare_1821564147gleton (exists ((S tptp.state) (T tptp.state)) (not (= S T)))))
% 0.21/0.52 (assert (not tptp.induct_false))
% 0.21/0.52 (assert tptp.induct_true)
% 0.21/0.52 (assert tptp.induct_true)
% 0.21/0.52 (assert tptp.hoare_1821564147gleton)
% 0.21/0.52 (assert (not (forall ((T tptp.state)) (not (forall ((S tptp.state)) (= S T))))))
% 0.21/0.52 (set-info :filename cvc5---1.0.5_8789)
% 0.21/0.52 (check-sat-assuming ( true ))
% 0.21/0.52 ------- get file name : TPTP file name is SWW469^1
% 0.21/0.52 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_8789.smt2...
% 0.21/0.52 --- Run --ho-elim --full-saturate-quant at 10...
% 0.21/0.52 % SZS status Theorem for SWW469^1
% 0.21/0.52 % SZS output start Proof for SWW469^1
% 0.21/0.52 (
% 0.21/0.52 (let ((_let_1 (not (forall ((T tptp.state)) (not (forall ((S tptp.state)) (= S T))))))) (let ((_let_2 (= tptp.hoare_1821564147gleton (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 (EQ_RESOLVE (ASSUME :args (tptp.hoare_1821564147gleton)) (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_18 (_let_16))) (let ((_let_19 (not _let_15))) (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_CBQI_CONFLICT)) :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 _let_17) :args (_let_19))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_15))) (REFL :args _let_18) :args _let_7)) _let_17 :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_1821564147gleton _let_1 true))))))))))))))))))))))))))
% 0.21/0.53 )
% 0.21/0.53 % SZS output end Proof for SWW469^1
% 0.21/0.53 % cvc5---1.0.5 exiting
% 0.21/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------