TSTP Solution File: LAT299+2 by Leo-III---1.7.10
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : LAT299+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n016.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 : Tue May 7 07:53:07 EDT 2024
% Result : ContradictoryAxioms 124.13s 23.59s
% Output : Refutation 124.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 17 unt; 7 typ; 0 def)
% Number of atoms : 70 ( 52 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 139 ( 18 ~; 16 |; 4 &; 92 @)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 59 ( 0 ^ 56 !; 3 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
thf(v1_xboole_0_type,type,
v1_xboole_0: $i > $o ).
thf(k2_zfmisc_1_type,type,
k2_zfmisc_1: $i > $i > $i ).
thf(m1_subset_1_type,type,
m1_subset_1: $i > $i > $o ).
thf(k1_xboole_0_type,type,
k1_xboole_0: $i ).
thf(k1_zfmisc_1_type,type,
k1_zfmisc_1: $i > $i ).
thf(sk43_type,type,
sk43: $i > $i > $i ).
thf(sk102_type,type,
sk102: $i > $i ).
thf(250,axiom,
! [A: $i] :
? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
thf(1756,plain,
! [A: $i] :
? [B: $i] :
( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) )
& ( v1_xboole_0 @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[250]) ).
thf(1757,plain,
! [A: $i] : ( v1_xboole_0 @ ( sk102 @ A ) ),
inference(cnf,[status(esa)],[1756]) ).
thf(281,axiom,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
thf(1898,plain,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[281]) ).
thf(1899,plain,
~ ? [A: $i] : ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
inference(miniscope,[status(thm)],[1898]) ).
thf(1900,plain,
! [A: $i] :
~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ),
inference(cnf,[status(esa)],[1899]) ).
thf(18820,plain,
! [B: $i,A: $i] :
( ( v1_xboole_0 @ ( sk102 @ A ) )
!= ( v1_xboole_0 @ ( k1_zfmisc_1 @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1757,1900]) ).
thf(18865,plain,
! [B: $i,A: $i] :
( ( sk102 @ A )
!= ( k1_zfmisc_1 @ B ) ),
inference(simp,[status(thm)],[18820]) ).
thf(10,axiom,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
thf(716,plain,
! [A: $i] :
( ( v1_xboole_0 @ A )
=> ( A = k1_xboole_0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(717,plain,
! [A: $i] :
( ~ ( v1_xboole_0 @ A )
| ( A = k1_xboole_0 ) ),
inference(cnf,[status(esa)],[716]) ).
thf(718,plain,
! [A: $i] :
( ( A = k1_xboole_0 )
| ~ ( v1_xboole_0 @ A ) ),
inference(lifteq,[status(thm)],[717]) ).
thf(18834,plain,
! [B: $i,A: $i] :
( ( B = k1_xboole_0 )
| ( ( v1_xboole_0 @ ( sk102 @ A ) )
!= ( v1_xboole_0 @ B ) ) ),
inference(paramod_ordered,[status(thm)],[1757,718]) ).
thf(18835,plain,
! [A: $i] :
( ( sk102 @ A )
= k1_xboole_0 ),
inference(pattern_uni,[status(thm)],[18834:[bind(A,$thf( C )),bind(B,$thf( sk102 @ C ))]]) ).
thf(18881,plain,
! [A: $i] :
( ( sk102 @ A )
= k1_xboole_0 ),
inference(simp,[status(thm)],[18835]) ).
thf(25456,plain,
! [A: $i] :
( ( k1_zfmisc_1 @ A )
!= k1_xboole_0 ),
inference(rewrite,[status(thm)],[18865,18881]) ).
thf(73,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(982,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)],[73]) ).
thf(983,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)],[982]) ).
thf(985,plain,
! [B: $i,A: $i] :
( ( B != k1_xboole_0 )
| ( ( k2_zfmisc_1 @ A @ B )
= k1_xboole_0 ) ),
inference(cnf,[status(esa)],[983]) ).
thf(989,plain,
! [B: $i,A: $i] :
( ( B != k1_xboole_0 )
| ( ( k2_zfmisc_1 @ A @ B )
= k1_xboole_0 ) ),
inference(lifteq,[status(thm)],[985]) ).
thf(990,plain,
! [A: $i] :
( ( k2_zfmisc_1 @ A @ k1_xboole_0 )
= k1_xboole_0 ),
inference(simp,[status(thm)],[989]) ).
thf(105,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(1124,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)],[105]) ).
thf(1125,plain,
! [B: $i,A: $i] :
( ( ( k2_zfmisc_1 @ A @ A )
!= ( k2_zfmisc_1 @ B @ B ) )
| ( A = B ) ),
inference(cnf,[status(esa)],[1124]) ).
thf(1126,plain,
! [B: $i,A: $i] :
( ( ( k2_zfmisc_1 @ A @ A )
!= ( k2_zfmisc_1 @ B @ B ) )
| ( A = B ) ),
inference(lifteq,[status(thm)],[1125]) ).
thf(1127,plain,
! [B: $i,A: $i] :
( ( sk43 @ A @ ( k2_zfmisc_1 @ B @ A ) )
= B ),
introduced(tautology,[new_symbols(inverse(k2_zfmisc_1),[sk43])]) ).
thf(33186,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)],[990,1127]) ).
thf(33187,plain,
! [A: $i] :
( ( sk43 @ k1_xboole_0 @ k1_xboole_0 )
= A ),
inference(pattern_uni,[status(thm)],[33186:[bind(A,$thf( A )),bind(B,$thf( k1_xboole_0 )),bind(C,$thf( A ))]]) ).
thf(984,plain,
! [B: $i,A: $i] :
( ( A != k1_xboole_0 )
| ( ( k2_zfmisc_1 @ A @ B )
= k1_xboole_0 ) ),
inference(cnf,[status(esa)],[983]) ).
thf(987,plain,
! [B: $i,A: $i] :
( ( A != k1_xboole_0 )
| ( ( k2_zfmisc_1 @ A @ B )
= k1_xboole_0 ) ),
inference(lifteq,[status(thm)],[984]) ).
thf(988,plain,
! [A: $i] :
( ( k2_zfmisc_1 @ k1_xboole_0 @ A )
= k1_xboole_0 ),
inference(simp,[status(thm)],[987]) ).
thf(33160,plain,
! [C: $i,B: $i,A: $i] :
( ( ( sk43 @ B @ k1_xboole_0 )
= C )
| ( ( k2_zfmisc_1 @ k1_xboole_0 @ A )
!= ( k2_zfmisc_1 @ C @ B ) ) ),
inference(paramod_ordered,[status(thm)],[988,1127]) ).
thf(33161,plain,
! [A: $i] :
( ( sk43 @ A @ k1_xboole_0 )
= k1_xboole_0 ),
inference(pattern_uni,[status(thm)],[33160:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( k1_xboole_0 ))]]) ).
thf(33303,plain,
! [A: $i] : ( k1_xboole_0 = A ),
inference(rewrite,[status(thm)],[33187,33161]) ).
thf(33309,plain,
$false,
inference(simplifyReflect,[status(thm)],[25456,33303]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LAT299+2 : TPTP v8.1.2. Released v3.4.0.
% 0.13/0.14 % Command : run_Leo-III %s %d
% 0.13/0.35 % Computer : n016.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 : Mon May 6 11:05:09 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.76/0.76 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.99/1.15 % [INFO] Parsing done (386ms).
% 2.31/1.16 % [INFO] Running in sequential loop mode.
% 2.84/1.37 % [INFO] eprover registered as external prover.
% 2.84/1.37 % [INFO] cvc4 registered as external prover.
% 2.84/1.38 % [INFO] Scanning for conjecture ...
% 3.54/1.57 % [INFO] Found a conjecture and 2934 axioms. Running axiom selection ...
% 4.99/1.98 % [INFO] Axiom selection finished. Selected 667 axioms (removed 2267 axioms).
% 6.36/2.39 % [INFO] Problem is first-order (TPTP FOF).
% 6.54/2.42 % [INFO] Type checking passed.
% 6.54/2.42 % [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 ...
% 124.13/23.58 % [INFO] Killing All external provers ...
% 124.13/23.59 % Time passed: 23118ms (effective reasoning time: 22422ms)
% 124.13/23.59 % Axioms used in derivation (5): t113_zfmisc_1, t115_zfmisc_1, fc1_subset_1, t6_boole, rc2_subset_1
% 124.13/23.59 % No. of inferences in proof: 37
% 124.13/23.59 % SZS status ContradictoryAxioms for /export/starexec/sandbox/benchmark/theBenchmark.p : 23118 ms resp. 22422 ms w/o parsing
% 124.13/23.61 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 124.13/23.61 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------