TSTP Solution File: RNG050+1 by Leo-III-SAT---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : RNG050+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n024.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 21 02:38:12 EDT 2024
% Result : Theorem 49.32s 8.59s
% Output : Refutation 49.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 37 ( 10 unt; 8 typ; 0 def)
% Number of atoms : 72 ( 31 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 188 ( 33 ~; 23 |; 4 &; 116 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 14 ( 0 ^ 14 !; 0 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(aVector0_type,type,
aVector0: $i > $o ).
thf(aDimensionOf0_type,type,
aDimensionOf0: $i > $i ).
thf(sz00_type,type,
sz00: $i ).
thf(xs_type,type,
xs: $i ).
thf(sdtlseqdt0_type,type,
sdtlseqdt0: $i > $i > $o ).
thf(sz0z00_type,type,
sz0z00: $i ).
thf(sdtasasdt0_type,type,
sdtasasdt0: $i > $i > $i ).
thf(aScalar0_type,type,
aScalar0: $i > $o ).
thf(18,axiom,
! [A: $i,B: $i] :
( ( ( aVector0 @ A )
& ( aVector0 @ B ) )
=> ( ( ( ( aDimensionOf0 @ A )
= ( aDimensionOf0 @ B ) )
& ( ( aDimensionOf0 @ B )
= sz00 ) )
=> ( ( sdtasasdt0 @ A @ B )
= sz0z00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSPZ) ).
thf(87,plain,
! [A: $i,B: $i] :
( ( ( aVector0 @ A )
& ( aVector0 @ B ) )
=> ( ( ( ( aDimensionOf0 @ A )
= ( aDimensionOf0 @ B ) )
& ( ( aDimensionOf0 @ B )
= sz00 ) )
=> ( ( sdtasasdt0 @ A @ B )
= sz0z00 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(88,plain,
! [B: $i,A: $i] :
( ~ ( aVector0 @ A )
| ~ ( aVector0 @ B )
| ( ( aDimensionOf0 @ A )
!= ( aDimensionOf0 @ B ) )
| ( ( aDimensionOf0 @ B )
!= sz00 )
| ( ( sdtasasdt0 @ A @ B )
= sz0z00 ) ),
inference(cnf,[status(esa)],[87]) ).
thf(89,plain,
! [B: $i,A: $i] :
( ( ( aDimensionOf0 @ A )
!= ( aDimensionOf0 @ B ) )
| ( ( aDimensionOf0 @ B )
!= sz00 )
| ( ( sdtasasdt0 @ A @ B )
= sz0z00 )
| ~ ( aVector0 @ A )
| ~ ( aVector0 @ B ) ),
inference(lifteq,[status(thm)],[88]) ).
thf(23,axiom,
aScalar0 @ sz0z00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
thf(101,plain,
aScalar0 @ sz0z00,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(39,axiom,
! [A: $i] :
( ( aScalar0 @ A )
=> ( sdtlseqdt0 @ A @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERef) ).
thf(168,plain,
! [A: $i] :
( ( aScalar0 @ A )
=> ( sdtlseqdt0 @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(169,plain,
! [A: $i] :
( ~ ( aScalar0 @ A )
| ( sdtlseqdt0 @ A @ A ) ),
inference(cnf,[status(esa)],[168]) ).
thf(475,plain,
! [A: $i] :
( ( sdtlseqdt0 @ A @ A )
| ( ( aScalar0 @ sz0z00 )
!= ( aScalar0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[101,169]) ).
thf(476,plain,
sdtlseqdt0 @ sz0z00 @ sz0z00,
inference(pattern_uni,[status(thm)],[475:[bind(A,$thf( sz0z00 ))]]) ).
thf(1,conjecture,
( ( ( ( aDimensionOf0 @ xs )
!= sz00 )
=> ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) ) )
=> ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
thf(2,negated_conjecture,
~ ( ( ( ( aDimensionOf0 @ xs )
!= sz00 )
=> ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) ) )
=> ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(41,plain,
~ ( ( ( ( aDimensionOf0 @ xs )
!= sz00 )
=> ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) ) )
=> ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(42,plain,
~ ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) ),
inference(cnf,[status(esa)],[41]) ).
thf(563,plain,
( ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) )
!= ( sdtlseqdt0 @ sz0z00 @ sz0z00 ) ),
inference(paramod_ordered,[status(thm)],[476,42]) ).
thf(564,plain,
( ( sz0z00 != sz0z00 )
| ( ( sdtasasdt0 @ xs @ xs )
!= sz0z00 ) ),
inference(simp,[status(thm)],[563]) ).
thf(565,plain,
( ( sdtasasdt0 @ xs @ xs )
!= sz0z00 ),
inference(simp,[status(thm)],[564]) ).
thf(3942,plain,
! [B: $i,A: $i] :
( ( ( aDimensionOf0 @ A )
!= ( aDimensionOf0 @ B ) )
| ( ( aDimensionOf0 @ B )
!= sz00 )
| ~ ( aVector0 @ A )
| ~ ( aVector0 @ B )
| ( ( sdtasasdt0 @ A @ B )
!= ( sdtasasdt0 @ xs @ xs ) ) ),
inference(paramod_ordered,[status(thm)],[89,565]) ).
thf(3943,plain,
( ( ( aDimensionOf0 @ xs )
!= ( aDimensionOf0 @ xs ) )
| ( ( aDimensionOf0 @ xs )
!= sz00 )
| ~ ( aVector0 @ xs )
| ~ ( aVector0 @ xs ) ),
inference(pattern_uni,[status(thm)],[3942:[bind(A,$thf( xs )),bind(B,$thf( xs ))]]) ).
thf(3956,plain,
( ( ( aDimensionOf0 @ xs )
!= sz00 )
| ~ ( aVector0 @ xs ) ),
inference(simp,[status(thm)],[3943]) ).
thf(33,axiom,
aVector0 @ xs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1542) ).
thf(156,plain,
aVector0 @ xs,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(43,plain,
( ( ( aDimensionOf0 @ xs )
= sz00 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) ) ),
inference(cnf,[status(esa)],[41]) ).
thf(44,plain,
( ( ( aDimensionOf0 @ xs )
= sz00 )
| ( sdtlseqdt0 @ sz0z00 @ ( sdtasasdt0 @ xs @ xs ) ) ),
inference(lifteq,[status(thm)],[43]) ).
thf(173,plain,
( ( ( aDimensionOf0 @ xs )
= sz00 )
| $false ),
inference(rewrite,[status(thm)],[44,42]) ).
thf(174,plain,
( ( aDimensionOf0 @ xs )
= sz00 ),
inference(simp,[status(thm)],[173]) ).
thf(4092,plain,
( ( sz00 != sz00 )
| ~ $true ),
inference(rewrite,[status(thm)],[3956,156,174]) ).
thf(4093,plain,
$false,
inference(simp,[status(thm)],[4092]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : RNG050+1 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.12 % Command : run_Leo-III %s %d
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sat May 18 12:22:24 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.98/0.93 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.30/1.13 % [INFO] Parsing done (195ms).
% 1.30/1.15 % [INFO] Running in sequential loop mode.
% 2.05/1.51 % [INFO] nitpick registered as external prover.
% 2.05/1.51 % [INFO] Scanning for conjecture ...
% 2.13/1.60 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.28/1.63 % [INFO] Found a conjecture (or negated_conjecture) and 38 axioms. Running axiom selection ...
% 2.47/1.70 % [INFO] Axiom selection finished. Selected 38 axioms (removed 0 axioms).
% 2.47/1.76 % [INFO] Definitions in FOF are currently treated as axioms.
% 2.76/1.78 % [INFO] Problem is first-order (TPTP FOF).
% 2.76/1.79 % [INFO] Type checking passed.
% 2.76/1.80 % [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 ...
% 49.32/8.58 % [INFO] Killing All external provers ...
% 49.32/8.59 % Time passed: 8116ms (effective reasoning time: 7433ms)
% 49.32/8.59 % Solved by 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)>
% 49.32/8.59 % Axioms used in derivation (4): mDefSPZ, mSZeroSc, mLERef, m__1542
% 49.32/8.59 % No. of inferences in proof: 29
% 49.32/8.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 8116 ms resp. 7433 ms w/o parsing
% 49.32/8.64 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 49.32/8.64 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------