TSTP Solution File: SYN058^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN058^5 : TPTP v8.1.2. Released v4.0.0.
% 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 02:01:10 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 : SYN058^5 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n003.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 21:43:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.49 %----Proving TH0
% 0.21/0.52 %------------------------------------------------------------------------------
% 0.21/0.52 % File : SYN058^5 : TPTP v8.1.2. Released v4.0.0.
% 0.21/0.52 % Domain : Syntactic
% 0.21/0.52 % Problem : TPS problem PELL28
% 0.21/0.52 % Version : Especial.
% 0.21/0.52 % English :
% 0.21/0.52
% 0.21/0.52 % Refs : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
% 0.21/0.52 % : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.21/0.52 % Source : [Bro09]
% 0.21/0.52 % Names : tps_0271 [Bro09]
% 0.21/0.52 % : PELL28 [TPS]
% 0.21/0.52 % : Pelletier 28 [Pel86]
% 0.21/0.52
% 0.21/0.52 % Status : Theorem
% 0.21/0.52 % Rating : 0.00 v6.2.0, 0.17 v6.0.0, 0.00 v5.3.0, 0.25 v5.2.0, 0.00 v4.0.0
% 0.21/0.52 % Syntax : Number of formulae : 7 ( 0 unt; 6 typ; 0 def)
% 0.21/0.52 % Number of atoms : 12 ( 0 equ; 0 cnn)
% 0.21/0.52 % Maximal formula atoms : 12 ( 12 avg)
% 0.21/0.52 % Number of connectives : 23 ( 0 ~; 1 |; 4 &; 12 @)
% 0.21/0.52 % ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% 0.21/0.52 % Maximal formula depth : 8 ( 8 avg)
% 0.21/0.52 % Number of types : 2 ( 0 usr)
% 0.21/0.52 % Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% 0.21/0.52 % Number of symbols : 6 ( 6 usr; 0 con; 1-1 aty)
% 0.21/0.52 % Number of variables : 7 ( 0 ^; 5 !; 2 ?; 7 :)
% 0.21/0.52 % SPC : TH0_THM_NEQ_NAR
% 0.21/0.52
% 0.21/0.52 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.21/0.52 % project in the Department of Mathematical Sciences at Carnegie
% 0.21/0.52 % Mellon University. Distributed under the Creative Commons copyleft
% 0.21/0.52 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.21/0.52 % :
% 0.21/0.52 %------------------------------------------------------------------------------
% 0.21/0.52 thf(cG,type,
% 0.21/0.52 cG: $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(cF,type,
% 0.21/0.52 cF: $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(cP,type,
% 0.21/0.52 cP: $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(cS,type,
% 0.21/0.52 cS: $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(cQ,type,
% 0.21/0.52 cQ: $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(cR,type,
% 0.21/0.52 cR: $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(cPELL28,conjecture,
% 0.21/0.52 ( ( ! [Xx: $i] :
% 0.21/0.52 ( ( cP @ Xx )
% 0.21/0.52 => ! [Xx0: $i] : ( cQ @ Xx0 ) )
% 0.21/0.52 & ( ! [Xx: $i] :
% 0.21/0.52 ( ( cQ @ Xx )
% 0.21/0.52 | ( cR @ Xx ) )
% 0.21/0.52 => ? [Xx: $i] :
% 0.21/0.52 ( ( cQ @ Xx )
% 0.21/0.52 & ( cS @ Xx ) ) )
% 0.21/0.52 & ( ? [Xx: $i] : ( cS @ Xx )
% 0.21/0.52 => ! [Xx: $i] :
% 0.21/0.52 ( ( cF @ Xx )
% 0.21/0.52 => ( cG @ Xx ) ) ) )
% 0.21/0.52 => ! [Xx: $i] :
% 0.21/0.52 ( ( ( cP @ Xx )
% 0.21/0.52 & ( cF @ Xx ) )
% 0.21/0.52 => ( cG @ Xx ) ) ) ).
% 0.21/0.52
% 0.21/0.52 %------------------------------------------------------------------------------
% 0.21/0.52 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.OC3yWafvpX/cvc5---1.0.5_7976.p...
% 0.21/0.52 (declare-sort $$unsorted 0)
% 0.21/0.52 (declare-fun tptp.cG ($$unsorted) Bool)
% 0.21/0.52 (declare-fun tptp.cF ($$unsorted) Bool)
% 0.21/0.52 (declare-fun tptp.cP ($$unsorted) Bool)
% 0.21/0.52 (declare-fun tptp.cS ($$unsorted) Bool)
% 0.21/0.52 (declare-fun tptp.cQ ($$unsorted) Bool)
% 0.21/0.52 (declare-fun tptp.cR ($$unsorted) Bool)
% 0.21/0.52 (assert (not (=> (and (forall ((Xx $$unsorted)) (=> (@ tptp.cP Xx) (forall ((Xx0 $$unsorted)) (@ tptp.cQ Xx0)))) (=> (forall ((Xx $$unsorted)) (or (@ tptp.cQ Xx) (@ tptp.cR Xx))) (exists ((Xx $$unsorted)) (and (@ tptp.cQ Xx) (@ tptp.cS Xx)))) (=> (exists ((Xx $$unsorted)) (@ tptp.cS Xx)) (forall ((Xx $$unsorted)) (=> (@ tptp.cF Xx) (@ tptp.cG Xx))))) (forall ((Xx $$unsorted)) (=> (and (@ tptp.cP Xx) (@ tptp.cF Xx)) (@ tptp.cG Xx))))))
% 0.21/0.52 (set-info :filename cvc5---1.0.5_7976)
% 0.21/0.52 (check-sat-assuming ( true ))
% 0.21/0.52 ------- get file name : TPTP file name is SYN058^5
% 0.21/0.52 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_7976.smt2...
% 0.21/0.52 --- Run --ho-elim --full-saturate-quant at 10...
% 0.21/0.52 % SZS status Theorem for SYN058^5
% 0.21/0.52 % SZS output start Proof for SYN058^5
% 0.21/0.52 (
% 0.21/0.52 (let ((_let_1 (forall ((Xx $$unsorted)) (or (@ tptp.cQ Xx) (@ tptp.cR Xx))))) (let ((_let_2 (not (=> (and (forall ((Xx $$unsorted)) (=> (@ tptp.cP Xx) (forall ((Xx0 $$unsorted)) (@ tptp.cQ Xx0)))) (=> _let_1 (exists ((Xx $$unsorted)) (and (@ tptp.cQ Xx) (@ tptp.cS Xx)))) (=> (exists ((Xx $$unsorted)) (@ tptp.cS Xx)) (forall ((Xx $$unsorted)) (=> (@ tptp.cF Xx) (@ tptp.cG Xx))))) (forall ((Xx $$unsorted)) (=> (and (@ tptp.cP Xx) (@ tptp.cF Xx)) (@ tptp.cG Xx))))))) (let ((_let_3 (ho_3 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_4 (forall ((Xx $$unsorted)) (not (ho_3 k_5 Xx))))) (let ((_let_5 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_6 (ho_3 k_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_7 (not _let_6))) (let ((_let_8 (not _let_3))) (let ((_let_9 (or _let_8 _let_7 _let_5))) (let ((_let_10 (forall ((Xx $$unsorted)) (or (not (ho_3 k_5 Xx)) (not (ho_3 k_4 Xx)) (ho_3 k_2 Xx))))) (let ((_let_11 (not _let_9))) (let ((_let_12 (0))) (let ((_let_13 (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_14 (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_15 (forall ((Xx $$unsorted)) (or (not (ho_3 k_4 Xx)) (ho_3 k_2 Xx))))) (let ((_let_16 (forall ((Xx $$unsorted)) (not (ho_3 k_6 Xx))))) (let ((_let_17 (not _let_16))) (let ((_let_18 (forall ((Xx $$unsorted)) (or (not (ho_3 k_7 Xx)) (not (ho_3 k_6 Xx)))))) (let ((_let_19 (not _let_18))) (let ((_let_20 (forall ((Xx $$unsorted)) (or (ho_3 k_7 Xx) (ho_3 k_8 Xx))))) (let ((_let_21 (forall ((Xx0 $$unsorted)) (ho_3 k_7 Xx0)))) (let ((_let_22 (not (=> (and (or _let_21 _let_4) (=> _let_20 _let_19) (=> _let_17 _let_15)) _let_10)))) (let ((_let_23 (forall ((Xx $$unsorted)) (or (not (@ tptp.cP Xx)) (not (@ tptp.cF Xx)) (@ tptp.cG Xx))))) (let ((_let_24 (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)))) (let ((_let_25 (ASSUME :args (_let_2)))) (let ((_let_26 (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE _let_25 (TRANS _let_24 (PREPROCESS :args ((= (not (=> (and (or (forall ((Xx0 $$unsorted)) (@ tptp.cQ Xx0)) (forall ((Xx $$unsorted)) (not (@ tptp.cP Xx)))) (=> _let_1 (not (forall ((Xx $$unsorted)) (or (not (@ tptp.cQ Xx)) (not (@ tptp.cS Xx)))))) (=> (not (forall ((Xx $$unsorted)) (not (@ tptp.cS Xx)))) (forall ((Xx $$unsorted)) (or (not (@ tptp.cF Xx)) (@ tptp.cG Xx))))) _let_23)) _let_22))))) (PREPROCESS :args ((and _let_14 _let_13)))) :args ((and _let_22 _let_14 _let_13))) :args _let_12))) (let ((_let_27 (or))) (let ((_let_28 (not _let_10))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (EQ_RESOLVE (NOT_IMPLIES_ELIM2 (EQ_RESOLVE _let_25 _let_24)) (PREPROCESS :args ((= (not _let_23) _let_28))))) :args (_let_28))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_10))) (REFL :args (_let_11)) :args _let_27)) (NOT_IMPLIES_ELIM2 _let_26) :args (_let_11 true _let_10)))) (let ((_let_30 (REFL :args (_let_9)))) (let ((_let_31 (ho_3 k_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_32 (or _let_31 (ho_3 k_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)))) (let ((_let_33 (not _let_32))) (let ((_let_34 (not _let_20))) (let ((_let_35 (ho_3 k_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or (not (ho_3 k_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)) _let_36))) (let ((_let_38 (or _let_7 _let_5))) (let ((_let_39 (not _let_38))) (let ((_let_40 (_let_15))) (let ((_let_41 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_42 (NOT_IMPLIES_ELIM1 _let_26))) (let ((_let_43 (_let_16))) (let ((_let_44 (_let_19))) (let ((_let_45 (_let_34))) (let ((_let_46 (_let_21))) (let ((_let_47 (_let_4))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_47) :args _let_41) :args _let_47)) (MACRO_RESOLUTION_TRUST (REORDERING (AND_ELIM _let_42 :args _let_12) :args ((or _let_4 _let_21))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_46) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_46)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_32 0)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_45)) :args _let_45)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_20))) (REFL :args (_let_33)) :args _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (AND_ELIM _let_42 :args (1))) :args ((or _let_19 _let_34))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_44)) :args _let_44)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) (REFL :args ((not _let_37))) :args _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_37 1)) (CONG (REFL :args (_let_37)) (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_27)) :args ((or _let_35 _let_37))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_43) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (IMPLIES_ELIM (AND_ELIM _let_42 :args (2))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) (REFL :args _let_40) :args _let_27)) :args ((or _let_15 _let_16))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_40) :args _let_41) :args _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_7 _let_5 _let_39))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_9 1)) (CONG _let_30 (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_6))) :args _let_27)) :args ((or _let_6 _let_9))) _let_29 :args (_let_6 true _let_9)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_9 2)) _let_29 :args ((not _let_5) true _let_9)) :args (_let_39 false _let_6 true _let_5)) :args ((not _let_15) true _let_38)) :args (_let_16 true _let_15)) :args (_let_36 false _let_16)) :args (_let_37 true _let_35)) :args (_let_18 false _let_37)) :args (_let_34 false _let_18)) :args (_let_33 true _let_20)) :args ((not _let_31) true _let_32)) :args ((not _let_21) true _let_31)) :args (_let_4 true _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_9 0)) (CONG _let_30 (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_3))) :args _let_27)) :args ((or _let_3 _let_9))) _let_29 :args (_let_3 true _let_9)) :args (false false _let_4 false _let_3)) :args (_let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.52 )
% 0.21/0.52 % SZS output end Proof for SYN058^5
% 0.21/0.52 % cvc5---1.0.5 exiting
% 0.21/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------