TSTP Solution File: SYN983^1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN983^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 02:05:44 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
% 0.00/0.12 % Problem : SYN983^1 : TPTP v8.1.2. Released v3.6.0.
% 0.13/0.13 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 20:20:29 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.49 %----Proving TH0
% 0.20/0.52 %------------------------------------------------------------------------------
% 0.20/0.52 % File : SYN983^1 : TPTP v8.1.2. Released v3.6.0.
% 0.20/0.52 % Domain : Syntactic
% 0.20/0.52 % Problem : Factoring application over conjunction
% 0.20/0.52 % Version : Especial.
% 0.20/0.52 % English :
% 0.20/0.52
% 0.20/0.52 % Refs : [Ben99] Benzmueller (1999), Equality and Extensionality in Hig
% 0.20/0.52 % : [BB05] Benzmueller & Brown (2005), A Structured Set of Higher-Ord
% 0.20/0.52 % : [Ben08] Benzmueller (2008), Email to G. Sutcliffe
% 0.20/0.52 % Source : [Ben08]
% 0.20/0.52 % Names : BB-1 [Ben08]
% 0.20/0.52 % : E3ext [Ben99]
% 0.20/0.52 % : E3EXT [TPS]
% 0.20/0.52
% 0.20/0.52 % Status : Theorem
% 0.20/0.52 % : Without Boolean extensionality : CounterCounterSatisfiable
% 0.20/0.52 % Rating : 0.09 v8.1.0, 0.17 v7.4.0, 0.22 v7.3.0, 0.20 v7.2.0, 0.25 v7.1.0, 0.29 v7.0.0, 0.25 v6.4.0, 0.29 v6.3.0, 0.33 v6.0.0, 0.17 v5.5.0, 0.00 v5.4.0, 0.25 v5.3.0, 0.50 v4.1.0, 0.67 v4.0.0, 0.33 v3.7.0
% 0.20/0.52 % Syntax : Number of formulae : 4 ( 0 unt; 3 typ; 0 def)
% 0.20/0.52 % Number of atoms : 7 ( 0 equ; 0 cnn)
% 0.20/0.52 % Maximal formula atoms : 7 ( 7 avg)
% 0.20/0.52 % Number of connectives : 6 ( 0 ~; 0 |; 2 &; 3 @)
% 0.20/0.52 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.20/0.52 % Maximal formula depth : 4 ( 4 avg)
% 0.20/0.52 % Number of types : 1 ( 0 usr)
% 0.20/0.52 % Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% 0.20/0.52 % Number of symbols : 3 ( 3 usr; 2 con; 0-1 aty)
% 0.20/0.52 % Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% 0.20/0.52 % SPC : TH0_THM_NEQ_NAR
% 0.20/0.52
% 0.20/0.52 % Comments :
% 0.20/0.52 %------------------------------------------------------------------------------
% 0.20/0.52 thf(a_const,type,
% 0.20/0.52 a: $o ).
% 0.20/0.52
% 0.20/0.52 thf(b_const,type,
% 0.20/0.52 b: $o ).
% 0.20/0.52
% 0.20/0.52 thf(p_const,type,
% 0.20/0.52 p: $o > $o ).
% 0.20/0.52
% 0.20/0.52 thf(thm,conjecture,
% 0.20/0.52 ( ( ( p @ a )
% 0.20/0.52 & ( p @ b ) )
% 0.20/0.52 => ( p
% 0.20/0.52 @ ( a
% 0.20/0.52 & b ) ) ) ).
% 0.20/0.52
% 0.20/0.52 %------------------------------------------------------------------------------
% 0.20/0.52 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.dldYpRRcu0/cvc5---1.0.5_1342.p...
% 0.20/0.52 (declare-sort $$unsorted 0)
% 0.20/0.52 (declare-fun tptp.a () Bool)
% 0.20/0.52 (declare-fun tptp.b () Bool)
% 0.20/0.52 (declare-fun tptp.p (Bool) Bool)
% 0.20/0.52 (assert (not (=> (and (@ tptp.p tptp.a) (@ tptp.p tptp.b)) (@ tptp.p (and tptp.a tptp.b)))))
% 0.20/0.52 (set-info :filename cvc5---1.0.5_1342)
% 0.20/0.52 (check-sat-assuming ( true ))
% 0.20/0.52 ------- get file name : TPTP file name is SYN983^1
% 0.20/0.52 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_1342.smt2...
% 0.20/0.52 --- Run --ho-elim --full-saturate-quant at 10...
% 0.20/0.52 % SZS status Theorem for SYN983^1
% 0.20/0.52 % SZS output start Proof for SYN983^1
% 0.20/0.52 (
% 0.20/0.52 (let ((_let_1 (and tptp.a tptp.b))) (let ((_let_2 (not (=> (and (@ tptp.p tptp.a) (@ tptp.p tptp.b)) (@ tptp.p _let_1))))) (let ((_let_3 (ho_3 k_2 BOOLEAN_TERM_VARIABLE_656))) (let ((_let_4 (ho_3 k_2 BOOLEAN_TERM_VARIABLE_646))) (let ((_let_5 (0))) (let ((_let_6 (and))) (let ((_let_7 (forall ((u |u_(-> Bool Bool)|) (e Bool) (i Bool)) (not (forall ((v |u_(-> Bool Bool)|)) (not (forall ((ii Bool)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_8 (forall ((x |u_(-> Bool Bool)|) (y |u_(-> Bool Bool)|)) (or (not (forall ((z Bool)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_9 (APPLY_UF ho_3))) (let ((_let_10 (MACRO_SR_PRED_INTRO :args ((= _let_1 BOOLEAN_TERM_VARIABLE_646))))) (let ((_let_11 (REFL :args (k_2)))) (let ((_let_12 (MACRO_SR_PRED_INTRO :args ((= tptp.b BOOLEAN_TERM_VARIABLE_651))))) (let ((_let_13 (MACRO_SR_PRED_INTRO :args ((= tptp.a BOOLEAN_TERM_VARIABLE_656))))) (let ((_let_14 (not (=> (and (ho_3 k_2 tptp.a) (ho_3 k_2 tptp.b)) (ho_3 k_2 _let_1))))) (let ((_let_15 (AND_ELIM (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_2)) (PREPROCESS :args ((= _let_2 _let_14)))) (PREPROCESS :args ((and _let_8 _let_7)))) :args ((and _let_14 _let_8 _let_7))) (CONG (CONG (CONG (CONG (CONG _let_11 _let_13 :args _let_9) (CONG _let_11 _let_12 :args _let_9) :args _let_6) (CONG _let_11 _let_10 :args _let_9) :args (=>)) :args (not)) (REFL :args (_let_8)) (REFL :args (_let_7)) :args _let_6)) :args _let_5))) (let ((_let_16 (NOT_IMPLIES_ELIM1 _let_15))) (let ((_let_17 (AND_ELIM _let_16 :args _let_5))) (let ((_let_18 (NOT_IMPLIES_ELIM2 _let_15))) (let ((_let_19 (not BOOLEAN_TERM_VARIABLE_656))) (let ((_let_20 (ho_3 k_2 BOOLEAN_TERM_VARIABLE_651))) (let ((_let_21 (not tptp.a))) (let ((_let_22 (not BOOLEAN_TERM_VARIABLE_646))) (let ((_let_23 (not _let_3))) (let ((_let_24 (or))) (let ((_let_25 (not _let_4))) (let ((_let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_4))))) (let ((_let_27 (REFL :args (_let_23)))) (let ((_let_28 (_let_19))) (let ((_let_29 (_let_22))) (let ((_let_30 (ASSUME :args (_let_3)))) (let ((_let_31 (TRUE_INTRO _let_30))) (let ((_let_32 (ASSUME :args (BOOLEAN_TERM_VARIABLE_656)))) (let ((_let_33 (ASSUME :args (BOOLEAN_TERM_VARIABLE_646)))) (let ((_let_34 (ASSUME :args (_let_25)))) (let ((_let_35 (FALSE_INTRO _let_34))) (let ((_let_36 (SYMM _let_35))) (let ((_let_37 (not _let_1))) (let ((_let_38 (not _let_20))) (let ((_let_39 (not BOOLEAN_TERM_VARIABLE_651))) (let ((_let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) BOOLEAN_TERM_VARIABLE_646))))) (let ((_let_41 (ASSUME :args _let_29))) (let ((_let_42 (FALSE_INTRO _let_41))) (let ((_let_43 (ASSUME :args (_let_39)))) (let ((_let_44 (ASSUME :args (_let_20)))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_34 _let_41 _let_43 _let_44) :args (_let_20 _let_25 _let_22 _let_39)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_44)) (CONG _let_11 (TRANS (FALSE_INTRO _let_43) (SYMM _let_42)) :args _let_9) _let_35)) :args (_let_25 _let_22 _let_39 _let_20)) :args ((not (and _let_20 _let_25 _let_22 _let_39)) SB_LITERAL))) (CONG (REFL :args (_let_38)) _let_26 _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) BOOLEAN_TERM_VARIABLE_651))) :args _let_24)) :args ((or BOOLEAN_TERM_VARIABLE_646 _let_4 BOOLEAN_TERM_VARIABLE_651 _let_38))) _let_18 (AND_ELIM _let_16 :args (1)) (EQUIV_ELIM2 _let_12) (CNF_AND_NEG :args (_let_1)) (REORDERING (EQUIV_ELIM1 _let_10) :args ((or BOOLEAN_TERM_VARIABLE_646 _let_37))) (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_30 _let_32 _let_33 _let_34) :args (BOOLEAN_TERM_VARIABLE_646 BOOLEAN_TERM_VARIABLE_656 _let_3 _let_25)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_36 (CONG _let_11 (TRANS (TRUE_INTRO _let_33) (SYMM (TRUE_INTRO _let_32))) :args _let_9) _let_31)) :args (_let_3 BOOLEAN_TERM_VARIABLE_656 BOOLEAN_TERM_VARIABLE_646 _let_25)) :args ((not (and BOOLEAN_TERM_VARIABLE_646 BOOLEAN_TERM_VARIABLE_656 _let_3 _let_25)) SB_LITERAL))) (CONG (REFL :args _let_29) (REFL :args _let_28) _let_27 _let_26 :args _let_24)) :args ((or _let_4 _let_23 _let_22 _let_19))) _let_18 _let_17 (REORDERING (EQUIV_ELIM1 _let_13) :args ((or BOOLEAN_TERM_VARIABLE_656 _let_21))) :args (_let_21 true _let_4 false _let_20 true BOOLEAN_TERM_VARIABLE_651 true tptp.b true _let_1 true BOOLEAN_TERM_VARIABLE_646 true _let_4 false _let_3 false BOOLEAN_TERM_VARIABLE_656)))) (let ((_let_46 (ASSUME :args _let_28))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_30 _let_46 _let_41 _let_34) :args (_let_3 _let_25 _let_22 _let_19)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_36 (CONG _let_11 (TRANS _let_42 (SYMM (FALSE_INTRO _let_46))) :args _let_9) _let_31)) :args (_let_3 _let_19 _let_22 _let_25)) :args ((not (and _let_3 _let_25 _let_22 _let_19)) SB_LITERAL))) (CONG _let_27 _let_26 _let_40 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) BOOLEAN_TERM_VARIABLE_656))) :args _let_24)) :args ((or BOOLEAN_TERM_VARIABLE_646 _let_4 BOOLEAN_TERM_VARIABLE_656 _let_23))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 _let_10) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_1 0)) :args ((or tptp.a _let_37))) _let_45 :args (_let_37 true tptp.a)) :args (_let_22 true _let_1)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 _let_13) _let_45 :args (_let_19 true tptp.a)) _let_18 _let_17 :args (false true BOOLEAN_TERM_VARIABLE_646 true BOOLEAN_TERM_VARIABLE_656 true _let_4 false _let_3)) :args (_let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.52 )
% 0.20/0.52 % SZS output end Proof for SYN983^1
% 0.20/0.53 % cvc5---1.0.5 exiting
% 0.20/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------