TSTP Solution File: SEV406^5 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV406^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 19:22:25 EDT 2023
% Result : Theorem 0.20s 0.51s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV406^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 02:23:34 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 %----Proving TH0
% 0.20/0.51 %------------------------------------------------------------------------------
% 0.20/0.51 % File : SEV406^5 : TPTP v8.1.2. Released v4.0.0.
% 0.20/0.51 % Domain : Set Theory
% 0.20/0.51 % Problem : TPS problem from SETS-THMS
% 0.20/0.51 % Version : Especial.
% 0.20/0.51 % English :
% 0.20/0.51
% 0.20/0.51 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.51 % Source : [Bro09]
% 0.20/0.51 % Names : tps_0743 [Bro09]
% 0.20/0.51
% 0.20/0.51 % Status : Theorem
% 0.20/0.51 % Rating : 0.09 v8.1.0, 0.08 v7.4.0, 0.11 v7.3.0, 0.20 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 v6.2.0, 0.33 v6.1.0, 0.17 v5.5.0, 0.20 v5.4.0, 0.25 v5.3.0, 0.50 v4.1.0, 0.67 v4.0.0
% 0.20/0.51 % Syntax : Number of formulae : 4 ( 0 unt; 3 typ; 0 def)
% 0.20/0.51 % Number of atoms : 6 ( 0 equ; 0 cnn)
% 0.20/0.51 % Maximal formula atoms : 6 ( 6 avg)
% 0.20/0.51 % Number of connectives : 9 ( 0 ~; 2 |; 0 &; 6 @)
% 0.20/0.51 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.20/0.51 % Maximal formula depth : 6 ( 6 avg)
% 0.20/0.51 % Number of types : 2 ( 0 usr)
% 0.20/0.51 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 0.20/0.51 % Number of symbols : 3 ( 3 usr; 0 con; 1-1 aty)
% 0.20/0.51 % Number of variables : 2 ( 2 ^; 0 !; 0 ?; 2 :)
% 0.20/0.51 % SPC : TH0_THM_NEQ_NAR
% 0.20/0.51
% 0.20/0.51 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.20/0.51 % project in the Department of Mathematical Sciences at Carnegie
% 0.20/0.51 % Mellon University. Distributed under the Creative Commons copyleft
% 0.20/0.51 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.20/0.51 %------------------------------------------------------------------------------
% 0.20/0.51 thf(cA,type,
% 0.20/0.51 cA: $i > $o ).
% 0.20/0.51
% 0.20/0.51 thf(cB,type,
% 0.20/0.51 cB: $i > $o ).
% 0.20/0.51
% 0.20/0.51 thf(cP,type,
% 0.20/0.51 cP: ( $i > $o ) > $o ).
% 0.20/0.51
% 0.20/0.51 thf(cTRIVEXT2_pme,conjecture,
% 0.20/0.51 ( ( cP
% 0.20/0.51 @ ^ [Xz: $i] :
% 0.20/0.51 ( ( cA @ Xz )
% 0.20/0.51 | ( cB @ Xz ) ) )
% 0.20/0.51 => ( cP
% 0.20/0.51 @ ^ [Xz: $i] :
% 0.20/0.51 ( ( cB @ Xz )
% 0.20/0.51 | ( cA @ Xz ) ) ) ) ).
% 0.20/0.51
% 0.20/0.51 %------------------------------------------------------------------------------
% 0.20/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.r8ronzYxG9/cvc5---1.0.5_30022.p...
% 0.20/0.51 (declare-sort $$unsorted 0)
% 0.20/0.51 (declare-fun tptp.cA ($$unsorted) Bool)
% 0.20/0.51 (declare-fun tptp.cB ($$unsorted) Bool)
% 0.20/0.51 (declare-fun tptp.cP ((-> $$unsorted Bool)) Bool)
% 0.20/0.51 (assert (not (=> (@ tptp.cP (lambda ((Xz $$unsorted)) (or (@ tptp.cA Xz) (@ tptp.cB Xz)))) (@ tptp.cP (lambda ((Xz $$unsorted)) (or (@ tptp.cB Xz) (@ tptp.cA Xz)))))))
% 0.20/0.51 (set-info :filename cvc5---1.0.5_30022)
% 0.20/0.51 (check-sat-assuming ( true ))
% 0.20/0.51 ------- get file name : TPTP file name is SEV406^5
% 0.20/0.51 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30022.smt2...
% 0.20/0.51 --- Run --ho-elim --full-saturate-quant at 10...
% 0.20/0.51 % SZS status Theorem for SEV406^5
% 0.20/0.51 % SZS output start Proof for SEV406^5
% 0.20/0.51 (
% 0.20/0.51 (let ((_let_1 (not (=> (@ tptp.cP (lambda ((Xz $$unsorted)) (or (@ tptp.cA Xz) (@ tptp.cB Xz)))) (@ tptp.cP (lambda ((Xz $$unsorted)) (or (@ tptp.cB Xz) (@ tptp.cA Xz)))))))) (let ((_let_2 (ho_10 k_9 k_4))) (let ((_let_3 (ho_10 k_9 k_8))) (let ((_let_4 (= k_4 k_8))) (let ((_let_5 (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_6 (forall ((x |u_(-> $$unsorted Bool)|) (y |u_(-> $$unsorted Bool)|)) (or (not (forall ((z $$unsorted)) (= (ho_5 x z) (ho_5 y z)))) (= x y))))) (let ((_let_7 (forall ((u |u_(-> _u_(-> $$unsorted Bool)_ Bool)|) (e Bool) (i |u_(-> $$unsorted Bool)|)) (not (forall ((v |u_(-> _u_(-> $$unsorted Bool)_ Bool)|)) (not (forall ((ii |u_(-> $$unsorted Bool)|)) (= (ho_10 v ii) (ite (= i ii) e (ho_10 u ii)))))))))) (let ((_let_8 (forall ((x |u_(-> _u_(-> $$unsorted Bool)_ Bool)|) (y |u_(-> _u_(-> $$unsorted Bool)_ Bool)|)) (or (not (forall ((z |u_(-> $$unsorted Bool)|)) (= (ho_10 x z) (ho_10 y z)))) (= x y))))) (let ((_let_9 (forall ((BOUND_VARIABLE_616 $$unsorted)) (= (ho_5 k_4 BOUND_VARIABLE_616) (or (ho_5 k_7 BOUND_VARIABLE_616) (ho_5 k_6 BOUND_VARIABLE_616)))))) (let ((_let_10 (forall ((BOUND_VARIABLE_608 $$unsorted)) (= (ho_5 k_8 BOUND_VARIABLE_608) (or (ho_5 k_6 BOUND_VARIABLE_608) (ho_5 k_7 BOUND_VARIABLE_608)))))) (let ((_let_11 (not (=> _let_2 _let_3)))) (let ((_let_12 (forall ((BOUND_VARIABLE_616 $$unsorted)) (= (or (@ tptp.cA BOUND_VARIABLE_616) (@ tptp.cB BOUND_VARIABLE_616)) (ll_3 BOUND_VARIABLE_616))))) (let ((_let_13 (forall ((BOUND_VARIABLE_608 $$unsorted)) (= (or (@ tptp.cB BOUND_VARIABLE_608) (@ tptp.cA BOUND_VARIABLE_608)) (ll_2 BOUND_VARIABLE_608))))) (let ((_let_14 (not (=> (@ tptp.cP ll_3) (@ tptp.cP ll_2))))) (let ((_let_15 (and _let_14 _let_13 _let_12))) (let ((_let_16 (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (MACRO_SR_PRED_TRANSFORM (AND_INTRO (EQ_RESOLVE (ASSUME :args (_let_1)) (PREPROCESS :args ((= _let_1 _let_14)))) (PREPROCESS :args ((and _let_13 _let_12)))) :args (_let_15)) (PREPROCESS :args ((= _let_15 (and _let_11 _let_10 _let_9))))) (PREPROCESS :args ((and _let_8 _let_7 _let_6 _let_5)))) :args ((and _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5))))) (let ((_let_17 (AND_ELIM _let_16 :args (0)))) (let ((_let_18 (forall ((z $$unsorted)) (= (ho_5 k_4 z) (ho_5 k_8 z))))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_4))) (let ((_let_21 (_let_6))) (let ((_let_22 (ho_5 k_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_23 (ho_5 k_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_24 (= _let_23 _let_22))) (let ((_let_25 (ho_5 k_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_26 (ho_5 k_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_27 (or _let_26 _let_25))) (let ((_let_28 (= _let_23 _let_27))) (let ((_let_29 (or _let_25 _let_26))) (let ((_let_30 (= _let_22 _let_29))) (let ((_let_31 (not _let_23))) (let ((_let_32 (_let_24))) (let ((_let_33 (_let_9))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_33) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((ho_5 k_4 BOUND_VARIABLE_616)))) :args _let_33)) (AND_ELIM _let_16 :args (2)) :args (_let_28 false _let_9)))) (let ((_let_35 (not _let_28))) (let ((_let_36 (_let_28))) (let ((_let_37 (_let_10))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_37) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((ho_5 k_8 BOUND_VARIABLE_608)))) :args _let_37)) (AND_ELIM _let_16 :args (1)) :args (_let_30 false _let_10)))) (let ((_let_39 (not _let_30))) (let ((_let_40 (not _let_29))) (let ((_let_41 (_let_30))) (let ((_let_42 (not _let_27))) (let ((_let_43 (or))) (let ((_let_44 (_let_19))) (let ((_let_45 (not _let_4))) (let ((_let_46 (not _let_2))) (let ((_let_47 (not _let_3))) (let ((_let_48 (ASSUME :args (_let_2)))) (let ((_let_49 (ASSUME :args (_let_4)))) (let ((_let_50 (ASSUME :args (_let_47)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_48 _let_49 _let_50) :args (_let_2 _let_47 _let_4)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_50)) (CONG (REFL :args (k_9)) (SYMM _let_49) :args (APPLY_UF ho_10)) (TRUE_INTRO _let_48))) :args (_let_2 _let_4 _let_47)) :args ((not (and _let_2 _let_47 _let_4)) SB_LITERAL))) (CONG (REFL :args (_let_46)) (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_3))) (REFL :args (_let_45)) :args _let_43)) :args ((or _let_3 _let_46 _let_45))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_4 (not _let_20)))) (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_24))) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_25 _let_26 _let_40))) (CNF_OR_NEG :args (_let_27 1)) (CNF_OR_NEG :args (_let_27 0)) (REORDERING (CNF_EQUIV_POS1 :args _let_41) :args ((or (not _let_22) _let_29 _let_39))) _let_38 (REORDERING (CNF_EQUIV_POS2 :args _let_36) :args ((or _let_23 _let_42 _let_35))) _let_34 (REORDERING (CNF_EQUIV_NEG1 :args _let_32) :args ((or _let_23 _let_22 _let_24))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_25 _let_26 _let_42))) (CNF_OR_NEG :args (_let_29 1)) (CNF_OR_NEG :args (_let_29 0)) (REORDERING (CNF_EQUIV_POS2 :args _let_41) :args ((or _let_22 _let_40 _let_39))) _let_38 (REORDERING (CNF_EQUIV_POS1 :args _let_36) :args ((or _let_31 _let_27 _let_35))) _let_34 (CNF_EQUIV_NEG2 :args _let_32) :args ((or _let_24 _let_31) true _let_26 true _let_25 true _let_29 false _let_30 false _let_27 false _let_28 true _let_22)) :args (_let_24 true _let_25 true _let_26 false _let_29 false _let_30 true _let_27 false _let_28 false _let_22 true _let_23)) :args (_let_18 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_21) :args (k_4 k_8 QUANTIFIERS_INST_ENUM)) :args _let_21)) (AND_ELIM _let_16 :args (5)) :args (_let_20 false _let_6)) :args (_let_4 false _let_18 false _let_20)) (NOT_IMPLIES_ELIM2 _let_17) (NOT_IMPLIES_ELIM1 _let_17) :args (false false _let_4 true _let_3 false _let_2)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.52 )
% 0.20/0.52 % SZS output end Proof for SEV406^5
% 0.20/0.52 % cvc5---1.0.5 exiting
% 0.20/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------