TSTP Solution File: SEV176^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV176^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 19:21:46 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
% 0.00/0.12 % Problem : SEV176^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n014.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 : Thu Aug 24 02:23:19 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.48 %----Proving TH0
% 0.21/0.52 %------------------------------------------------------------------------------
% 0.21/0.52 % File : SEV176^5 : TPTP v8.1.2. Released v4.0.0.
% 0.21/0.52 % Domain : Set Theory
% 0.21/0.52 % Problem : TPS problem THM25
% 0.21/0.52 % Version : Especial.
% 0.21/0.52 % English : Quine's modification of Russell's paradox.
% 0.21/0.52
% 0.21/0.52 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.21/0.52 % Source : [Bro09]
% 0.21/0.52 % Names : tps_0281 [Bro09]
% 0.21/0.52 % : THM25 [TPS]
% 0.21/0.52
% 0.21/0.52 % Status : Theorem
% 0.21/0.52 % Rating : 0.18 v8.1.0, 0.08 v7.4.0, 0.11 v7.3.0, 0.10 v7.2.0, 0.12 v7.1.0, 0.14 v7.0.0, 0.12 v6.4.0, 0.14 v6.3.0, 0.17 v6.0.0, 0.00 v4.0.0
% 0.21/0.52 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.21/0.52 % Number of atoms : 3 ( 0 equ; 0 cnn)
% 0.21/0.52 % Maximal formula atoms : 3 ( 3 avg)
% 0.21/0.52 % Number of connectives : 10 ( 2 ~; 0 |; 1 &; 6 @)
% 0.21/0.52 % ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% 0.21/0.52 % Maximal formula depth : 10 ( 10 avg)
% 0.21/0.52 % Number of types : 2 ( 0 usr)
% 0.21/0.52 % Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% 0.21/0.52 % Number of symbols : 1 ( 1 usr; 0 con; 2-2 aty)
% 0.21/0.52 % Number of variables : 3 ( 0 ^; 1 !; 2 ?; 3 :)
% 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 thf(cR,type,
% 0.21/0.52 cR: $i > $i > $o ).
% 0.21/0.52
% 0.21/0.52 thf(cTHM25,conjecture,
% 0.21/0.52 ~ ? [Y: $i] :
% 0.21/0.52 ! [X: $i] :
% 0.21/0.52 ( ( cR @ X @ Y )
% 0.21/0.52 <=> ~ ? [Z: $i] :
% 0.21/0.52 ( ( cR @ X @ Z )
% 0.21/0.52 & ( cR @ Z @ X ) ) ) ).
% 0.21/0.52
% 0.21/0.52 %------------------------------------------------------------------------------
% 0.21/0.52 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.W9Y3zR2rVS/cvc5---1.0.5_15062.p...
% 0.21/0.52 (declare-sort $$unsorted 0)
% 0.21/0.52 (declare-fun tptp.cR ($$unsorted $$unsorted) Bool)
% 0.21/0.52 (assert (not (not (exists ((Y $$unsorted)) (forall ((X $$unsorted)) (= (@ (@ tptp.cR X) Y) (not (exists ((Z $$unsorted)) (and (@ (@ tptp.cR X) Z) (@ (@ tptp.cR Z) X))))))))))
% 0.21/0.52 (set-info :filename cvc5---1.0.5_15062)
% 0.21/0.52 (check-sat-assuming ( true ))
% 0.21/0.52 ------- get file name : TPTP file name is SEV176^5
% 0.21/0.52 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_15062.smt2...
% 0.21/0.52 --- Run --ho-elim --full-saturate-quant at 10...
% 0.21/0.52 % SZS status Theorem for SEV176^5
% 0.21/0.52 % SZS output start Proof for SEV176^5
% 0.21/0.52 (
% 0.21/0.52 (let ((_let_1 (not (not (exists ((Y $$unsorted)) (forall ((X $$unsorted)) (= (@ (@ tptp.cR X) Y) (not (exists ((Z $$unsorted)) (and (@ (@ tptp.cR X) Z) (@ (@ tptp.cR Z) X))))))))))) (let ((_let_2 (forall ((Z $$unsorted)) (or (not (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21) Z)) (not (ho_4 (ho_3 k_2 Z) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21)))))) (let ((_let_3 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_4 (ho_4 _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21))) (let ((_let_5 (not _let_4))) (let ((_let_6 (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_7 (not _let_6))) (let ((_let_8 (or _let_7 _let_5))) (let ((_let_9 (= _let_6 _let_2))) (let ((_let_10 (forall ((X $$unsorted)) (= (forall ((Z $$unsorted)) (or (not (ho_4 (ho_3 k_2 X) Z)) (not (ho_4 (ho_3 k_2 Z) X)))) (ho_4 (ho_3 k_2 X) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_11 (forall ((Y $$unsorted)) (not (forall ((X $$unsorted)) (= (forall ((Z $$unsorted)) (or (not (ho_4 (ho_3 k_2 X) Z)) (not (ho_4 (ho_3 k_2 Z) X)))) (ho_4 (ho_3 k_2 X) Y))))))) (let ((_let_12 (forall ((u |u_(-> $$unsorted Bool)|) (e Bool) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_4 v ii) (ite (= i ii) e (ho_4 u ii)))))))))) (let ((_let_13 (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_4 x z) (ho_4 y z)))) (= x y))))) (let ((_let_14 (forall ((u |u_(-> $$unsorted $$unsorted Bool)|) (e |u_(-> $$unsorted Bool)|) (i $$unsorted)) (not (forall ((v |u_(-> $$unsorted $$unsorted Bool)|)) (not (forall ((ii $$unsorted)) (= (ho_3 v ii) (ite (= i ii) e (ho_3 u ii)))))))))) (let ((_let_15 (forall ((x |u_(-> $$unsorted $$unsorted Bool)|) (y |u_(-> $$unsorted $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_3 x z) (ho_3 y z)))) (= x y))))) (let ((_let_16 (not _let_11))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((Y $$unsorted)) (not (forall ((X $$unsorted)) (= (@ (@ tptp.cR X) Y) (forall ((Z $$unsorted)) (or (not (@ (@ tptp.cR X) Z)) (not (@ (@ tptp.cR Z) X))))))))) _let_16))))))) (let ((_let_18 (or))) (let ((_let_19 (_let_10))) (let ((_let_20 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_17) :args (_let_16)) (REWRITE :args ((=> _let_16 (not (not _let_10))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_11))) (REFL :args _let_19) :args _let_18)) (AND_ELIM (MACRO_SR_PRED_TRANSFORM (AND_INTRO _let_17 (PREPROCESS :args ((and _let_15 _let_14 _let_13 _let_12)))) :args ((and _let_16 _let_15 _let_14 _let_13 _let_12))) :args (0)) :args (_let_10 true _let_11)))) (let ((_let_21 ((ho_3 k_2 X)))) (let ((_let_22 (ASSUME :args _let_19))) (let ((_let_23 (or _let_5 _let_7))) (let ((_let_24 (forall ((Z $$unsorted)) (or (not (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) Z)) (not (ho_4 (ho_3 k_2 Z) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_25 (not _let_23))) (let ((_let_26 (ho_4 _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_27 (= _let_24 _let_26))) (let ((_let_28 (not _let_24))) (let ((_let_29 (_let_24))) (let ((_let_30 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_31 (_let_28))) (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_28) _let_24))) (REFL :args (_let_25)) :args _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_29) :args _let_30) :args _let_29))) (REORDERING (CNF_EQUIV_POS1 :args (_let_27)) :args ((or _let_26 _let_28 (not _let_27)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_21)) :args _let_19)) _let_20 :args (_let_27 false _let_10)) :args (_let_28 false _let_26 false _let_27)) :args (_let_25 true _let_24)))) (let ((_let_33 (REFL :args (_let_23)))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 1)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_6))) :args _let_18)) :args ((or _let_6 _let_23))) _let_32 :args (_let_6 true _let_23)))) (let ((_let_35 (not _let_8))) (let ((_let_36 (_let_2))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_36) :args _let_30) :args _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_5 _let_7 _let_35))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 0)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) :args _let_18)) :args ((or _let_4 _let_23))) _let_32 :args (_let_4 true _let_23)) _let_34 :args (_let_35 false _let_4 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_9)) :args ((or _let_7 _let_2 (not _let_9)))) _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_21)) :args _let_19))) _let_20 :args (_let_9 false _let_10)) :args (_let_2 false _let_6 false _let_9)) :args (false true _let_8 false _let_2)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))
% 0.21/0.52 )
% 0.21/0.52 % SZS output end Proof for SEV176^5
% 0.21/0.52 % cvc5---1.0.5 exiting
% 0.21/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------