TSTP Solution File: TOP029+2 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : TOP029+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n011.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 May 19 12:38:51 EDT 2023
% Result : ContradictoryAxioms 65.37s 14.54s
% Output : Refutation 65.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 12 unt; 5 typ; 0 def)
% Number of atoms : 59 ( 44 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 114 ( 16 ~; 13 |; 4 &; 69 @)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 41 ( 0 ^; 40 !; 1 ?; 41 :)
% Comments :
%------------------------------------------------------------------------------
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(k1_xboole_0_type,type,
k1_xboole_0: $i ).
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(k2_zfmisc_1_type,type,
k2_zfmisc_1: $i > $i > $i ).
thf(sk43_type,type,
sk43: $i > $i > $i ).
thf(605,axiom,
! [A: $i,B: $i] :
( ( ( k2_zfmisc_1 @ A @ B )
= k1_xboole_0 )
<=> ( ( A = k1_xboole_0 )
| ( B = k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t113_zfmisc_1) ).
thf(4307,plain,
! [A: $i,B: $i] :
( ( ( ( k2_zfmisc_1 @ A @ B )
= k1_xboole_0 )
=> ( ( A = k1_xboole_0 )
| ( B = k1_xboole_0 ) ) )
& ( ( ( A = k1_xboole_0 )
| ( B = k1_xboole_0 ) )
=> ( ( k2_zfmisc_1 @ A @ B )
= k1_xboole_0 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[605]) ).
thf(4308,plain,
( ! [A: $i,B: $i] :
( ( ( k2_zfmisc_1 @ A @ B )
= k1_xboole_0 )
=> ( ( A = k1_xboole_0 )
| ( B = k1_xboole_0 ) ) )
& ! [A: $i,B: $i] :
( ( ( A = k1_xboole_0 )
| ( B = k1_xboole_0 ) )
=> ( ( k2_zfmisc_1 @ A @ B )
= k1_xboole_0 ) ) ),
inference(miniscope,[status(thm)],[4307]) ).
thf(4310,plain,
! [B: $i,A: $i] :
( ( B != k1_xboole_0 )
| ( ( k2_zfmisc_1 @ A @ B )
= k1_xboole_0 ) ),
inference(cnf,[status(esa)],[4308]) ).
thf(4314,plain,
! [B: $i,A: $i] :
( ( B != k1_xboole_0 )
| ( ( k2_zfmisc_1 @ A @ B )
= k1_xboole_0 ) ),
inference(lifteq,[status(thm)],[4310]) ).
thf(4315,plain,
! [A: $i] :
( ( k2_zfmisc_1 @ A @ k1_xboole_0 )
= k1_xboole_0 ),
inference(simp,[status(thm)],[4314]) ).
thf(143,axiom,
! [A: $i,B: $i] :
( ( ( k2_zfmisc_1 @ A @ A )
= ( k2_zfmisc_1 @ B @ B ) )
=> ( A = B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t115_zfmisc_1) ).
thf(1923,plain,
! [A: $i,B: $i] :
( ( ( k2_zfmisc_1 @ A @ A )
= ( k2_zfmisc_1 @ B @ B ) )
=> ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(1924,plain,
! [B: $i,A: $i] :
( ( ( k2_zfmisc_1 @ A @ A )
!= ( k2_zfmisc_1 @ B @ B ) )
| ( A = B ) ),
inference(cnf,[status(esa)],[1923]) ).
thf(1925,plain,
! [B: $i,A: $i] :
( ( ( k2_zfmisc_1 @ A @ A )
!= ( k2_zfmisc_1 @ B @ B ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[1924]) ).
thf(1926,plain,
! [B: $i,A: $i] :
( ( sk43 @ A @ ( k2_zfmisc_1 @ B @ A ) )
= B ),
introduced(tautology,[new_symbols(inverse(k2_zfmisc_1),[sk43])]) ).
thf(14853,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk43 @ B @ k1_xboole_0 )
= C )
| ( ( k2_zfmisc_1 @ A @ k1_xboole_0 )
!= ( k2_zfmisc_1 @ C @ B ) ) ),
inference(paramod_ordered,[status(thm)],[4315,1926]) ).
thf(14854,plain,
! [A: $i] :
( ( sk43 @ k1_xboole_0 @ k1_xboole_0 )
= A ),
inference(pattern_uni,[status(thm)],[14853:[bind(A,$thf( A )),bind(B,$thf( k1_xboole_0 )),bind(C,$thf( A ))]]) ).
thf(540,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
<=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_xboole_0) ).
thf(3966,plain,
! [A: $i] :
( ( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) )
& ( ( A = k1_xboole_0 )
=> ( v1_xboole_0 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[540]) ).
thf(3967,plain,
( ! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) )
& ! [A: $i] :
( ( A = k1_xboole_0 )
=> ( v1_xboole_0 @ A ) ) ),
inference(miniscope,[status(thm)],[3966]) ).
thf(3968,plain,
! [A: $i] :
( ( A != k1_xboole_0 )
| ( v1_xboole_0 @ A ) ),
inference(cnf,[status(esa)],[3967]) ).
thf(3970,plain,
! [A: $i] :
( ( A != k1_xboole_0 )
| ( v1_xboole_0 @ A ) ),
inference(lifteq,[status(thm)],[3968]) ).
thf(3971,plain,
v1_xboole_0 @ k1_xboole_0,
inference(simp,[status(thm)],[3970]) ).
thf(816,axiom,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
thf(5366,plain,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[816]) ).
thf(5367,plain,
~ ? [A: $i] : ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
inference(miniscope,[status(thm)],[5366]) ).
thf(5368,plain,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
inference(cnf,[status(esa)],[5367]) ).
thf(8517,plain,
! [A: $i] :
( ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) )
!= ( v1_xboole_0 @ k1_xboole_0 ) ),
inference(paramod_ordered,[status(thm)],[3971,5368]) ).
thf(8519,plain,
! [A: $i] :
( ( k1_zfmisc_1 @ A )
!= k1_xboole_0 ),
inference(simp,[status(thm)],[8517]) ).
thf(14927,plain,
! [B: $i,A: $i] :
( ( ( sk43 @ k1_xboole_0 @ k1_xboole_0 )
!= k1_xboole_0 )
| ( A
!= ( k1_zfmisc_1 @ B ) ) ),
inference(paramod_ordered,[status(thm)],[14854,8519]) ).
thf(14928,plain,
( ( sk43 @ k1_xboole_0 @ k1_xboole_0 )
!= k1_xboole_0 ),
inference(pattern_uni,[status(thm)],[14927:[bind(A,$thf( k1_zfmisc_1 @ C )),bind(B,$thf( C ))]]) ).
thf(15815,plain,
$false,
inference(simplifyReflect,[status(thm)],[14928,14854]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : TOP029+2 : TPTP v8.1.2. Released v3.4.0.
% 0.16/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n011.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Thu May 18 20:10:04 EDT 2023
% 0.23/0.37 % CPUTime :
% 1.08/0.93 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 2.66/1.36 % [INFO] Parsing done (437ms).
% 2.83/1.37 % [INFO] Running in sequential loop mode.
% 3.26/1.57 % [INFO] eprover registered as external prover.
% 3.26/1.57 % [INFO] cvc4 registered as external prover.
% 3.26/1.58 % [INFO] Scanning for conjecture ...
% 4.04/1.80 % [INFO] Found a conjecture and 3607 axioms. Running axiom selection ...
% 5.58/2.28 % [INFO] Axiom selection finished. Selected 1281 axioms (removed 2326 axioms).
% 7.52/2.89 % [INFO] Problem is first-order (TPTP FOF).
% 7.58/2.93 % [INFO] Type checking passed.
% 7.58/2.93 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 65.37/14.54 % [INFO] Killing All external provers ...
% 65.37/14.54 % Time passed: 13991ms (effective reasoning time: 13160ms)
% 65.37/14.54 % Axioms used in derivation (4): t113_zfmisc_1, t115_zfmisc_1, d5_xboole_0, fc1_subset_1
% 65.37/14.54 % No. of inferences in proof: 28
% 65.37/14.54 % SZS status ContradictoryAxioms for /export/starexec/sandbox/benchmark/theBenchmark.p : 13991 ms resp. 13160 ms w/o parsing
% 65.37/14.56 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 65.37/14.56 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------