TSTP Solution File: SEV393^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV393^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.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 19:22:23 EDT 2023
% Result : Theorem 0.15s 0.43s
% Output : Proof 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : SEV393^5 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.10 % Command : do_cvc5 %s %d
% 0.09/0.30 % Computer : n009.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Thu Aug 24 03:59:21 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.15/0.40 %----Proving TH0
% 0.15/0.43 %------------------------------------------------------------------------------
% 0.15/0.43 % File : SEV393^5 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.43 % Domain : Set Theory
% 0.15/0.43 % Problem : TPS problem THM39
% 0.15/0.43 % Version : Especial.
% 0.15/0.43 % English :
% 0.15/0.43
% 0.15/0.43 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.15/0.43 % Source : [Bro09]
% 0.15/0.43 % Names : tps_0285 [Bro09]
% 0.15/0.43 % : THM39 [TPS]
% 0.15/0.43
% 0.15/0.43 % Status : Theorem
% 0.15/0.43 % Rating : 0.08 v8.1.0, 0.00 v7.4.0, 0.11 v7.2.0, 0.00 v7.1.0, 0.12 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v4.1.0, 0.00 v4.0.1, 0.33 v4.0.0
% 0.15/0.43 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% 0.15/0.43 % Number of atoms : 7 ( 1 equ; 0 cnn)
% 0.15/0.43 % Maximal formula atoms : 3 ( 7 avg)
% 0.15/0.43 % Number of connectives : 10 ( 0 ~; 1 |; 1 &; 6 @)
% 0.15/0.43 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.15/0.43 % Maximal formula depth : 5 ( 5 avg)
% 0.15/0.43 % Number of types : 2 ( 0 usr)
% 0.15/0.43 % Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% 0.15/0.43 % Number of symbols : 3 ( 2 usr; 0 con; 1-2 aty)
% 0.15/0.43 % Number of variables : 3 ( 2 ^; 1 !; 0 ?; 3 :)
% 0.15/0.43 % SPC : TH0_THM_EQU_NAR
% 0.15/0.43
% 0.15/0.43 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.15/0.43 % project in the Department of Mathematical Sciences at Carnegie
% 0.15/0.43 % Mellon University. Distributed under the Creative Commons copyleft
% 0.15/0.43 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.15/0.43 % : Polymorphic definitions expanded.
% 0.15/0.43 %------------------------------------------------------------------------------
% 0.15/0.43 thf(cS,type,
% 0.15/0.43 cS: $i > $o ).
% 0.15/0.43
% 0.15/0.43 thf(cR,type,
% 0.15/0.43 cR: $i > $o ).
% 0.15/0.43
% 0.15/0.43 thf(cTHM39_pme,conjecture,
% 0.15/0.43 ( ( ( ^ [Xz: $i] :
% 0.15/0.43 ( ( cR @ Xz )
% 0.15/0.43 | ( cS @ Xz ) ) )
% 0.15/0.43 = ( ^ [Xx: $i] :
% 0.15/0.43 ( ( cR @ Xx )
% 0.15/0.43 & ( cS @ Xx ) ) ) )
% 0.15/0.43 => ! [Xx: $i] :
% 0.15/0.43 ( ( cR @ Xx )
% 0.15/0.43 => ( cS @ Xx ) ) ) ).
% 0.15/0.43
% 0.15/0.43 %------------------------------------------------------------------------------
% 0.15/0.43 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.FatJnB2x9m/cvc5---1.0.5_14625.p...
% 0.15/0.43 (declare-sort $$unsorted 0)
% 0.15/0.43 (declare-fun tptp.cS ($$unsorted) Bool)
% 0.15/0.43 (declare-fun tptp.cR ($$unsorted) Bool)
% 0.15/0.43 (assert (not (=> (= (lambda ((Xz $$unsorted)) (or (@ tptp.cR Xz) (@ tptp.cS Xz))) (lambda ((Xx $$unsorted)) (and (@ tptp.cR Xx) (@ tptp.cS Xx)))) (forall ((Xx $$unsorted)) (=> (@ tptp.cR Xx) (@ tptp.cS Xx))))))
% 0.15/0.43 (set-info :filename cvc5---1.0.5_14625)
% 0.15/0.43 (check-sat-assuming ( true ))
% 0.15/0.43 ------- get file name : TPTP file name is SEV393^5
% 0.15/0.43 ------- cvc5-thf : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_14625.smt2...
% 0.15/0.43 --- Run --ho-elim --full-saturate-quant at 10...
% 0.15/0.43 % SZS status Theorem for SEV393^5
% 0.15/0.43 % SZS output start Proof for SEV393^5
% 0.15/0.43 (
% 0.15/0.43 (let ((_let_1 (= (lambda ((Xz $$unsorted)) (or (@ tptp.cR Xz) (@ tptp.cS Xz))) (lambda ((Xx $$unsorted)) (and (@ tptp.cR Xx) (@ tptp.cS Xx)))))) (let ((_let_2 (not (=> _let_1 (forall ((Xx $$unsorted)) (=> (@ tptp.cR Xx) (@ tptp.cS Xx))))))) (let ((_let_3 (= k_4 k_8))) (let ((_let_4 (ho_5 k_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_5 (ho_5 k_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_6 (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_5 v ii) (ite (= i ii) e (ho_5 u ii)))))))))) (let ((_let_7 (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_5 x z) (ho_5 y z)))) (= x y))))) (let ((_let_8 (forall ((BOUND_VARIABLE_628 $$unsorted)) (= (ho_5 k_4 BOUND_VARIABLE_628) (or (ho_5 k_7 BOUND_VARIABLE_628) (ho_5 k_6 BOUND_VARIABLE_628)))))) (let ((_let_9 (forall ((BOUND_VARIABLE_620 $$unsorted)) (= (ho_5 k_8 BOUND_VARIABLE_620) (and (ho_5 k_7 BOUND_VARIABLE_620) (ho_5 k_6 BOUND_VARIABLE_620)))))) (let ((_let_10 (forall ((Xx $$unsorted)) (or (not (ho_5 k_7 Xx)) (ho_5 k_6 Xx))))) (let ((_let_11 (not (=> _let_3 _let_10)))) (let ((_let_12 (forall ((BOUND_VARIABLE_628 $$unsorted)) (= (or (@ tptp.cR BOUND_VARIABLE_628) (@ tptp.cS BOUND_VARIABLE_628)) (ll_3 BOUND_VARIABLE_628))))) (let ((_let_13 (forall ((BOUND_VARIABLE_620 $$unsorted)) (= (and (@ tptp.cR BOUND_VARIABLE_620) (@ tptp.cS BOUND_VARIABLE_620)) (ll_2 BOUND_VARIABLE_620))))) (let ((_let_14 (forall ((Xx $$unsorted)) (or (not (@ tptp.cR Xx)) (@ tptp.cS Xx))))) (let ((_let_15 (not (=> (= ll_2 ll_3) _let_14)))) (let ((_let_16 (and _let_15 _let_13 _let_12))) (let ((_let_17 (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (=> _let_1 _let_14)) _let_15))))) (PREPROCESS :args ((and _let_13 _let_12)))) :args (_let_16)) (PREPROCESS :args ((= _let_16 (and _let_11 _let_9 _let_8))))) (PREPROCESS :args ((and _let_7 _let_6)))) :args ((and _let_11 _let_9 _let_8 _let_7 _let_6))))) (let ((_let_18 (AND_ELIM _let_17 :args (0)))) (let ((_let_19 (ho_5 k_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_20 (ho_5 k_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_21 (and _let_20 _let_19))) (let ((_let_22 (= _let_4 _let_21))) (let ((_let_23 (not _let_4))) (let ((_let_24 (_let_9))) (let ((_let_25 (not _let_21))) (let ((_let_26 (not _let_20))) (let ((_let_27 (or _let_26 _let_19))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or))) (let ((_let_30 (not _let_10))) (let ((_let_31 (_let_30))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_31)) :args _let_31)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_10))) (REFL :args (_let_28)) :args _let_29)) (NOT_IMPLIES_ELIM2 _let_18) :args (_let_28 true _let_10)))) (let ((_let_33 (or _let_20 _let_19))) (let ((_let_34 (= _let_5 _let_33))) (let ((_let_35 (_let_8))) (let ((_let_36 (and _let_3 _let_23))) (let ((_let_37 (ASSUME :args (_let_23)))) (let ((_let_38 (ASSUME :args (_let_3)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_36)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_37 _let_38) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM (SYMM _let_38)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9)) :args (APPLY_UF ho_5)) (FALSE_INTRO _let_37))) :args (_let_23 _let_3))) :args (_let_3 _let_23))) :args (true _let_36)) (CONG (REFL :args ((not _let_3))) (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_4))) (REFL :args ((not _let_5))) :args _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_34)) :args ((or _let_5 (not _let_33) (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_33 0)) :args ((or _let_26 _let_33))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 0)) (CONG (REFL :args (_let_27)) (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_20))) :args _let_29)) :args ((or _let_20 _let_27))) _let_32 :args (_let_20 true _let_27)) :args (_let_33 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_35) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((ho_5 k_7 BOUND_VARIABLE_628)))) :args _let_35)) (AND_ELIM _let_17 :args (2)) :args (_let_34 false _let_8)) :args (_let_5 false _let_33 false _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_22)) :args ((or _let_21 _let_23 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_21 1)) :args ((or _let_19 _let_25))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_27 1)) _let_32 :args ((not _let_19) true _let_27)) :args (_let_25 true _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_24) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((ho_5 k_7 BOUND_VARIABLE_620)))) :args _let_24)) (AND_ELIM _let_17 :args (1)) :args (_let_22 false _let_9)) :args (_let_23 true _let_21 false _let_22)) (NOT_IMPLIES_ELIM1 _let_18) :args (false false _let_5 true _let_4 false _let_3)) :args (_let_2 true)))))))))))))))))))))))))))))))))))))))))
% 0.15/0.43 )
% 0.15/0.43 % SZS output end Proof for SEV393^5
% 0.15/0.43 % cvc5---1.0.5 exiting
% 0.15/0.44 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------